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					<f size="9">12-29-19</f>
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						<b>
							<u>
								<inlineAttr line-through="false">
									<c val="#000080">RAV4 GEN IV Hybrid 2.5L Performance Simulation</c>
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">http://www.vxphysics.com/EV%20Performance/Rav4_Gen_IV_2.5L_Hybrid%20Simulation-WU.xmcd<sp count="2"/>
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								<inlineAttr line-through="false">Macro Model of Hybrid Vehicle Performance: RAV4 Gen IV Hybrid</inlineAttr>
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					<b>
						<u>Procedure to determine </u>
					</b>
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						<b>
							<u>
								<inlineAttr line-through="false">Torque for ICE and Motor M2:</inlineAttr>
							</u>
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					</f>
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				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">First model of the "Recreational Activity Vehicle: 4-wheel drive" RAV4 Internal Combustion Engine's (ICE) and the motor's, torque and power. Define vehicle and road parameters. </p>
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit"/>
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">
					<b>
						<u>RAV4 Hybrid Synergy Drive:<sp count="2"/>
						</u>
					</b>
					<u>
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							<b>
								<f family="Arial" charset="0">MG1 Starter/Generator and Controller </f>
							</b>
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					</u>
					<b>
						<u>Acceleration Protocol</u>
					</b>
					<f family="Arial" charset="0">
						<u>
							<b>
								<inlineAttr line-through="false">
									<sp/>
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					<tab/>MG1 is the battery initiated starter for the ICE. "Simulate" MG1's spin startup, <f family="Symbol" charset="2">W</f>1init<sub>m2</sub> and <f family="Symbol" charset="2">W</f>1init<sub>ice</sub>, as a ramp from 0 to its maximum speed, along with the motor M2 and ICE, respectively, which are also driven by the RAV4 Controller to ramp up.<sp count="2"/>Refer to Startup Curves on bottom of page 6. This is an arbitrary set of conditions just to start the generator turning. Note that this startup is not a function of time, but of corresponding rotations.<sp count="2"/>This startup condition simulates a low gear mode for the ICE.<sp count="2"/>
				</p>
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">
					<sp count="5"/>Evaluate two different RAV4 Control Strategies:<sp count="2"/>Max Acceleration and Nominal.<sp count="2"/>See curves on page 4. </p>
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">
					<tab/>During acceleration, the <b>largest torque</b> is from motor/generator <b>MG2</b>, which is geared to the axle. The axle determines the vehicle speed. Use the MG2 rotation, <f family="Symbol" charset="2" size="10">
						<inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">w</inlineAttr>
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						<sub>
							<inlineAttr line-through="false">m2</inlineAttr>
						</sub>
					</f>, as our control variable.<sp count="2"/>During acceleration, supply peak electrical power to MG2 from <b>both the battery</b> (peak battery power for 10 seconds) and from <b>MG1</b>, which is now run as a generator at it's max speed and is mechanically driven by the ICE. </p>
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">
					<tab/>As MG2 speeds up and demands increasing power, throttle back it's peak drive/torque by limiting the MG2's electrical power input to the peak Inverter Output, i.e. the sum of the battery's and MG1 generator's peak power.<sp count="2"/>Refer to the curve of M2 Torque vs.<f family="Symbol" charset="2">w</f>
					<sub>m2</sub> on page 3.<sp count="4"/>
					<u>
						<b>4th Gen RAV4</b>
					</u>: All Wheel drive, AWD.<sp count="2"/>AWD uses 3rd motor (MGR) (50kW) mounted in rear. Operates independently from front motor, drives rear wheels only.</p>
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">
					<sp count="2"/>
				</p>
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="center" list-style-type="none" tabs="inherit">
					<b>
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							<u>
								<inlineAttr line-through="false">
									<c val="#f00">Peak acceleration and 0 - 60 mph is programmed by setting the MG1 max speed:</c>
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								<f family="Arial" charset="0">
									<sp/>
								</f>
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						<math optimize="false" disable-calc="false">
							<ml:id xml:space="preserve" subscript="m1" xmlns:ml="http://schemas.mathsoft.com/math30">Ωmax</ml:id> </math>
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				</p>
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">
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							<tab/>
						</f>
					</inlineAttr>Use equations for vehicle dynamics to calculate the time to 60 mph.<sp count="2"/>Plot performance simulation curves.<sp count="2"/>Calculate<sp count="2"/>All Electric Range, AER, miles from a single charge of<sp count="2"/>the battery. Calculate AER using various EPA driving modes. </p>
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					<f size="12">
						<b>
							<u>Transaxle Rear Motor Gears </u>
						</b>
					</f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Counter Gear: 40 Teeth</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Pinion Gear: 18 Teeth</p>
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">G-MG = 40/18 = 1.739</p>
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">Final Drive Ring Gear: 23 Teeth</p>
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">Final Drive Gear: 71 Teeth</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Ring Gear: 71 Teeth</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Ring to Pinion = 71/18 = 3.944</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Motor to axle = 1.739*3.944 = <b>6.859</b>
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					<f family="Times New Roman" charset="0" size="12">The drive gear connects to the rotor for the MG1 motor. </f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f family="Times New Roman" charset="0" size="12">There are </f>
					<f family="Times New Roman" charset="0" size="12">
						<b>40 teeth</b>
					</f>
					<f family="Times New Roman" charset="0" size="12"> on the counter gear and </f>
					<f family="Times New Roman" charset="0" size="12">
						<b>18 teeth on the pinion drive gear.</b>
					</f>
					<f family="Times New Roman" charset="0" size="12">
						<sp/>
					</f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f family="Times New Roman" charset="0" size="12">T</f>
					<f family="Times New Roman" charset="0" size="12">he gear ratio for the mg drive ge</f>
					<f family="Times New Roman" charset="0" size="12">ar, to the counter shaft is </f>
					<f family="Times New Roman" charset="0" size="14">
						<b>1.739 to 1.</b>
					</f>
					<f family="Times New Roman" charset="0" size="12">
						<sp/>
					</f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f family="Times New Roman" charset="0" size="12">There are </f>
					<b>
						<f family="Times New Roman" charset="0" size="12">23 teeth</f>
					</b>
					<f family="Times New Roman" charset="0" size="12"> on the drive </f>
					<f family="Times New Roman" charset="0" size="12">
						<b>gear and 40 teeth on the counter gear. </b>
					</f>
					<f family="Times New Roman" charset="0" size="12">40/23 = 1.739</f>
				</p>
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">
					<f family="Times New Roman" charset="0" size="12">
						<b>It</b>
					</f>
					<f family="Times New Roman" charset="0" size="12"> takes a little less than 1 3/4<sp count="2"/>turns of the mg on the drive shaft/rive gear to get one rotation of the counter gear.</f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f family="Times New Roman" charset="0" size="12">T</f>
					<f family="Times New Roman" charset="0" size="12">he final drive gear has </f>
					<f family="Times New Roman" charset="0" size="12">
						<b>71 teeth</b>
					</f>
					<f family="Times New Roman" charset="0" size="12"> on the ring gear and </f>
					<f family="Times New Roman" charset="0" size="12">
						<b>18 teeth</b>
					</f>
					<f family="Times New Roman" charset="0" size="12"> on the little pinion on the top of the counter trans</f>
					<f family="Times New Roman" charset="0" size="12">fer gear which gives us a 71/18 = </f>
					<f family="Times New Roman" charset="0" size="12">
						<b>3.944 to 1 gear ratio</b>
					</f>
					<f family="Times New Roman" charset="0" size="12"> between the counter gear and the final drive gear.</f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"/>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f family="Times New Roman" charset="0" size="12">There is</f>
					<f family="Times New Roman" charset="0" size="12"> a </f>
					<f family="Times New Roman" charset="0" size="12">
						<b>1.739 gear ratio</b>
					</f>
					<f family="Times New Roman" charset="0" size="12"> between the </f>
					<f family="Times New Roman" charset="0" size="12">
						<b>MGR</b>
					</f>
					<f family="Times New Roman" charset="0" size="12"> drive gear and the counter gear.</f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f family="Times New Roman" charset="0" size="12">If you multiply those two gear ratios together you get a </f>
					<b>
						<f family="Times New Roman" charset="0" size="12">overall gear ratio</f>
					</b>
					<f family="Times New Roman" charset="0" size="12"> of </f>
					<b>
						<f family="Times New Roman" charset="0" size="14">6.859 : 1.</f>
					</b>
				</p>
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">
					<b>
						<f family="Times New Roman" charset="0" size="14">I</f>
					</b>
					<f family="Times New Roman" charset="0" size="12">t's going to take 6.859 rotations of the electric motor to get one rotation of the differential case, the same speed as the tires.</f>
				</p>
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit"/>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f family="Times New Roman" charset="0" size="12">The electric motor is rated for </f>
					<b>
						<f family="Times New Roman" charset="0" size="12">50 kilowatt or 67 horsepower.</f>
					</b>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f family="Times New Roman" charset="0" size="12"> That's in </f>
					<b>
						<f family="Times New Roman" charset="0" size="12">addition to the front trans axle. </f>
					</b>
					<f family="Times New Roman" charset="0" size="12"> It has an additional 10</f>
					<f family="Times New Roman" charset="0" size="12">30 Nm of torque or </f>
					<b>
						<f family="Times New Roman" charset="0" size="12">96 lbf ft of torque.</f>
					</b>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f family="Times New Roman" charset="0" size="12"> To sit right on this the splines of the counter or of the MGR drive gear.</f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f family="Times New Roman" charset="0" size="12"> The electric motor rotates the forward vehicle movement direction of rotation it's going to take </f>
					<f family="Times New Roman" charset="0" size="12">
						<b>6.859 </b>
					</f>
					<f family="Times New Roman" charset="0" size="12">
						<b>rotations of this electric motor</b>
					</f>
					<f family="Times New Roman" charset="0" size="12"> to get </f>
					<b>
						<f family="Times New Roman" charset="0" size="12">one rotation of the tire.</f>
					</b>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"/>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<b>
						<f family="Times New Roman" charset="0" size="12">H</f>
					</b>
					<f family="Times New Roman" charset="0" size="12">ow does that compare to the </f>
					<f family="Times New Roman" charset="0" size="12">
						<b>front transaxle electric motor mg</b>
					</f>
					<f family="Times New Roman" charset="0" size="12"> - OMG - on </f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f family="Times New Roman" charset="0" size="12">The same vehicle has to rotate</f>
					<f family="Times New Roman" charset="0" size="12">
						<sp/>
					</f>
					<f family="Times New Roman" charset="0" size="12">
						<b>8.878<sp count="2"/>for one rotation of the front tires.</b>
					</f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f family="Times New Roman" charset="0" size="12">
						<b>
							<sp/>
						</b>
					</f>
					<f family="Times New Roman" charset="0" size="12">and this is 6.859 so it actually turns slower than the mg2 does </f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f family="Times New Roman" charset="0" size="12">Driving the vehicle up front gives us </f>
					<b>
						<f family="Times New Roman" charset="0" size="12">96 pound-feet</f>
					</b>
					<f family="Times New Roman" charset="0" size="12"> of torque but we can </f>
					<f family="Times New Roman" charset="0" size="12">
						<b>multiply that by 6.859,</b>
					</f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f family="Times New Roman" charset="0" size="12">which gives us a total of </f>
					<b>
						<f family="Times New Roman" charset="0" size="14">659 lbf ft of torque in addition</f>
					</b>
					<f family="Times New Roman" charset="0" size="12"> to what the </f>
					<b>
						<f family="Times New Roman" charset="0" size="12">front trans axle</f>
					</b>
					<f family="Times New Roman" charset="0" size="12"> delivers </f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f family="Times New Roman" charset="0" size="12">which is on the Lexus model 2168 lbf ft of torque on the toyota model. </f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f family="Times New Roman" charset="0" size="12">1913 pound-feet of torque so combined of twenty five to twenty seven hundred 2500 to 2700 lbf ft of torque delivered to the tires, which is the most powerful front wheel drive hybrid system that the Toyota has now there's more powerful or rear wheel drives in the in the Lexus </f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f family="Times New Roman" charset="0" size="12">but for front wheel drives this system here that a variation but a </f>
					<b>
						<f family="Times New Roman" charset="0" size="12">little bit lower power is used in the new RAV4 for 2016 and above</f>
					</b>
					<f family="Times New Roman" charset="0" size="12">
						<sp/>
					</f>
				</p>
			</text>
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								<c val="#000080">
									<link href="http://en.wikipedia.org/wiki/Toyota_Prius" popup="false">Basic Description of RAV4</link>
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					<b>
						<u>
							<link href="http://en.wikipedia.org/wiki/Toyota_RAV4" popup="false">http://en.wikipedia.org/wiki/Toyota_RAV4</link>
						</u>
					</b>
				</p>
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									<link href="http://autos.yahoo.com/green_center-article_24/" popup="false">Description and Design of Synergy (Planetary Gear) Drive</link>
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						</b>
					</f>
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit">
					<sp count="8"/>Refer to:<sp count="2"/>
					<b>US Patent: US6005297</b>
				</p>
			</text>
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						<b>
							<i>
								<inlineAttr underline="false">RAV4</inlineAttr>
							</i>
						</b>
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					<f family="Georgia" charset="0" size="18">
						<b>
							<i>
								<inlineAttr underline="false">: Hybrid Synergy 4-Wheel Drive </inlineAttr>
							</i>
						</b>
					</f>
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			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit">
					<b>
						<u>AWD-I (Not Off Rd. 4WD)</u>
					</b>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit">
					<b>
						<u>Rear Electric Transaxle for MGR:</u>
					</b>
				</p>
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="center" list-style-type="none" tabs="inherit">powered by 3 phase wires from front.</p>
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="center" list-style-type="none" tabs="inherit">3 Modes: 1. Startup Torque ~ 0-3 mph,</p>
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="center" list-style-type="none" tabs="inherit">2. Front wheel slip, 3. Regen braking.</p>
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="center" list-style-type="none" tabs="inherit">MGR <b>Gear 6.859 :1</b>, T<sub>axle</sub>
					<sp count="2"/>= 659 lb-ft</p>
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="center" list-style-type="none" tabs="inherit">
					<f size="8">Prof John D Kelly - Weber State U, Utah</f>
				</p>
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="center" list-style-type="none" tabs="inherit">
					<link href="./www.youtube.com/watch?v=KuR0cihFAvQ" popup="false">
						<u>
							<f size="8">
								<b>www.youtube.com/watch?v=KuR0cihFAvQ</b>
							</f>
						</u>
					</link>
				</p>
			</text>
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			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<b>T</b>
					<b>otal T</b>
					<b>
						<sub>axle</sub>
					</b>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">2700 lbf-ft</p>
			</text>
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			<picture>
				<png item-idref="13" display-width="48.75" display-height="95.25"/>
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		<region region-id="3220803658" left="12" top="596.25" width="54.75" height="27" align-x="20.25" align-y="606" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Front T<sub>axle</sub>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">= 2160 lbf-ft</p>
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			<picture>
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">M2 GR<sp count="3"/>8.88 : 1</p>
			</text>
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				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">
					<f size="12">
						<b>MGR==&gt;</b>
					</f>
					<f size="12">
						<sp/>
					</f>
				</p>
			</text>
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			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="m2">GR</ml:id> <ml:real>2.636</ml:real> </ml:define> </math>
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			<text use-page-width="false" push-down="false" lock-width="true">
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						<inlineAttr line-through="false">Motor M2 </inlineAttr>
					</f>
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit">
					<f family="Arial" charset="0" size="8">
						<inlineAttr line-through="false">Grear </inlineAttr>
					</f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit">
					<f family="Arial" charset="0" size="8">
						<inlineAttr line-through="false">Reduction</inlineAttr>
					</f>
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			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
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						<u>
							<inlineAttr line-through="false">Rotation Speed Varibles:</inlineAttr>
						</u>
					</f>
				</p>
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">
					<tab/>MG1, MG2, and Engine: <f family="Symbol" charset="2" size="10">
						<inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">w</inlineAttr>
					</f>
					<f family="Arial" charset="0" size="10">
						<inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">m1, </inlineAttr>
					</f>
					<f family="Symbol" charset="2">w</f>m2, and <f family="Symbol" charset="2">w</f>ice.</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f family="Arial" charset="0">
						<u>
							<inlineAttr line-through="false">Power Efficiencies:</inlineAttr>
						</u>
					</f>
				</p>
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">
					<sp/>
					<tab/>
					<sp count="11"/>Inverter, axle to tire, engine to MG1, reduction gear, and engine to axle efficiencies <tab/>
					<f family="Symbol" charset="2">h</f>inv,<sp count="6"/>
					<f family="Symbol" charset="2">h</f>axle,<sp count="9"/>
					<f family="Symbol" charset="2">h</f>eng_m1,<f family="Arial" charset="0" size="10">
						<inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">
							<sp count="8"/>
						</inlineAttr>
					</f>
					<f family="Symbol" charset="2">h</f>red,<sp count="7"/>
					<f family="Arial" charset="0" size="10">
						<inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">
							<sp count="7"/>and<sp count="2"/>
						</inlineAttr>
					</f>
					<f family="Symbol" charset="2">h</f>aeng_axle</p>
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			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="m2">GR</ml:id> <ml:real>1</ml:real> </ml:define> </math>
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						<b>
							<u>
								<inlineAttr line-through="false">RAV4 Gen IV</inlineAttr>
							</u>
						</b>
					</f>
					<f size="14">
						<b>
							<u> Hybrid Synergy Specs</u>
						</b>
					</f>
				</p>
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">
					<f family="Arial" charset="0" size="8">
						<inlineAttr font-weight="normal" underline="false" line-through="false">
							<sp count="4"/>
						</inlineAttr>
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							<sp count="5"/>
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						<f family="Arial" charset="0">2.5 L Atkinson 4-cycle</f>
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							<sp count="10"/>Power:<sp count="2"/>150 hp<sp count="2"/>(112 kW) @5700 rpm</inlineAttr>
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							<sp count="10"/>Torque; 152 fl-lbf (206 N-m)@4400 rpm</f>
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								<inlineAttr line-through="false">Traction Motors M1, M2, M3 - PM Magnet Synchronous</inlineAttr>
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						<inlineAttr font-weight="normal" underline="false" line-through="false">
							<sp/>
						</inlineAttr>
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							<sp count="4"/>M2 Front Motor: 105 kW (141 hp), 199 ft-lbf,<sp count="2"/>(270 N-m)</inlineAttr>
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						<c val="#00f">M3 Rear Motor Output can add to MG2 for charged battery</c>
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						<inlineAttr font-weight="normal" underline="false" line-through="false">Total 194 hp, 145 kW,<sp count="11"/>
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					<b>T</b>
					<b>otal T</b>
					<b>
						<sub>axle</sub>
					</b>
					<b>:</b>
					<sub>
						<b>
							<sp count="2"/>
						</b>
					</sub>2700 lbf-ft (3661 N*m)</p>
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					<sp count="3"/>MGR: GR 6.86<sp count="9"/>T<sub>axle</sub> = 659 lbf-ft</p>
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						<inlineAttr font-weight="normal" underline="false" line-through="false">24 12-volt cells, </inlineAttr>
					</f>244V, 1.6kW-hr<sp count="2"/>
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						<inlineAttr font-weight="normal" underline="false" line-through="false">Curb Weight: 3950 lbs</inlineAttr>
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					<b>
						<u>Scale Up Prius 1.8L Atkinson ICE to 2.5L</u>
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						<u>Torque &amp; Power Specs</u>
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">&lt;== Power<sp count="20"/>
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								<inlineAttr line-through="false">Toyota Atkinson Gen IV 2.5L ICE Model: </inlineAttr>
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						<u>Scale the Power and Torque Curves from Above Prius Gen III 1.8L</u>
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								<inlineAttr line-through="false">Scale Up to Gen IV Specs:</inlineAttr>
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					<b>
						<u>2.5L ICE Model </u>
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					<b>
						<u>Approximations </u>
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit">W. Lhomme1, A. Bouscayrol1, Member, P. Barrade2</p>
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										<ml:id xml:space="preserve">t</ml:id> </ml:boundVars> <ml:id xml:space="preserve" subscript="shaft">Ω</ml:id> </ml:lambda> </ml:apply> </ml:apply> <ml:apply>
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						<inlineAttr line-through="false"> are the moment of inertia,<sp count="2"/>friction coefficient, and speed of the shaft. Tice and Tdcg are the ICE and generator torques. The ICE pressure,<sp count="2"/>Pice, results from the flow of gasoline.<sp count="2"/>
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						<inlineAttr line-through="false">ratio, which defines the actual flow of gasoline, dgas, through a specific actuator. </inlineAttr>
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						<inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">mg2/axle gear<sp count="3"/>corresponding to Planet, Sun, Ring, describes the action of the Hybrid Synergy Drive </inlineAttr>
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						<inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> (shown in the above illustration).</inlineAttr>
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Note: Accelertion Control Strategy depends critically</p>
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					</region>, which determines </p>
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">the max power applied to MG2. </p>
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							<ml:mult/> <ml:id xml:space="preserve" subscript="ice">m</ml:id> <ml:id xml:space="preserve" subscript="ice">k</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="gas">D</ml:id> </ml:apply> </ml:apply> </math>
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						<ml:div/> <ml:apply>
							<ml:mult/> <ml:apply>
								<ml:mult/> <ml:id xml:space="preserve">η</ml:id> <ml:id xml:space="preserve">ρ</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="c">P</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="ice_max">Ω</ml:id> </ml:apply> </ml:apply> </math>
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							<ml:mult/> <ml:real>2.6</ml:real> <ml:id xml:space="preserve" subscript="mg2">ω</ml:id> </ml:apply> </ml:apply> <ml:apply>
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="9">Planet Gears: ω of sun, ring, planet gears vs. # teeth, N: </f>
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					<ml:equal/> <ml:apply>
						<ml:plus/> <ml:apply>
							<ml:mult/> <ml:id xml:space="preserve" subscript="s">ω</ml:id> <ml:id xml:space="preserve" subscript="s">N</ml:id> </ml:apply> <ml:apply>
							<ml:mult/> <ml:id xml:space="preserve" subscript="r">ω</ml:id> <ml:id xml:space="preserve" subscript="r">N</ml:id> </ml:apply> </ml:apply> <ml:apply>
						<ml:mult style="auto-select"/> <ml:parens>
							<ml:apply>
								<ml:plus/> <ml:id xml:space="preserve" subscript="s">N</ml:id> <ml:id xml:space="preserve" subscript="r">N</ml:id> </ml:apply> </ml:parens> <ml:id xml:space="preserve" subscript="p">ω</ml:id> </ml:apply> </ml:apply> </math>
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						<b>
							<u>
								<inlineAttr line-through="false">2018 Camry </inlineAttr>
							</u>
						</b>
					</f>
					<b>
						<u>(Not-Hybrid) </u>
					</b>
					<f family="Arial" charset="0">
						<b>
							<u>
								<inlineAttr line-through="false">2.5L A25A-FKS Atkinson </inlineAttr>
							</u>
						</b>
					</f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">
					<f family="Arial" charset="0">
						<b>
							<u>
								<inlineAttr line-through="false">Blue Curve Torque (Nm).<sp count="9"/>Red Power (kW)</inlineAttr>
							</u>
						</b>
					</f>
				</p>
			</text>
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		<region region-id="3220803976" left="6" top="1488" width="275.25" height="180" align-x="6" align-y="1488" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
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				<png item-idref="53" display-width="273.75" display-height="178.5"/>
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			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit">
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							<u>
								<inlineAttr line-through="false">Gen III Prius (Not RAV4) MG2 Motor<sp count="2"/>Performance</inlineAttr>
							</u>
						</b>
					</f>
				</p>
			</text>
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			<picture>
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			<picture>
				<png item-idref="57" display-width="285" display-height="135"/>
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			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:apply>
						<ml:mult style="auto-select"/> <ml:real>50</ml:real> <ml:id xml:space="preserve">kW</ml:id> </ml:apply> <ml:unitOverride>
						<ml:id xml:space="preserve">hp</ml:id>
					</ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>67.051104479751388</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="horsepower"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math>
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			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">
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							<u>
								<inlineAttr line-through="false">Toyoto RAV4 Gen IV 2.5L-Vehicle, Motor and Road Parameters</inlineAttr>
							</u>
						</b>
					</f>:</p>
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			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<b>
						<u>
							<c val="#000080">
								<link href="http://www.leapcad.com/Transportation/Toyota_Prius_Model_Specifications.pdf" popup="false">Specifications for </link>
							</c>
						</u>
					</b>
					<b>
						<u>
							<c val="#000080">
								<link href="http://www.leapcad.com/Transportation/Toyota_Prius_Model_Specifications.pdf" popup="false">Different RAV4 Models</link>
							</c>
						</u>
					</b>
				</p>
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					<ml:apply>
						<ml:mult style="auto-select"/> <ml:apply>
							<ml:mult/> <ml:apply>
								<ml:mult style="auto-select"/> <ml:real>73</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> <ml:real>67</ml:real> </ml:apply> <ml:id xml:space="preserve">in</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30">
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							<ml:real>3.1554775599999996</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10">
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit">Gear Ratio and Efficiencies:</p>
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				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">GR</ml:id> <ml:real>8.878</ml:real> </ml:define> </math>
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				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="inv">η</ml:id> <ml:real>0.90</ml:real> </ml:define> </math>
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			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="eng_axle">η</ml:id> <ml:real>0.95</ml:real> </ml:define> </math>
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			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="axle">η</ml:id> <ml:real>0.95</ml:real> </ml:define> </math>
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				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="eng_m1">η</ml:id> <ml:real>0.95</ml:real> </ml:define> </math>
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				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="red">η</ml:id> <ml:real>0.95</ml:real> </ml:define> </math>
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Max Motor Power:</p>
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			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="m2">Pmax</ml:id> <ml:apply>
						<ml:mult/> <ml:apply>
							<ml:mult/> <ml:real>105</ml:real> <ml:id xml:space="preserve">kW</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="axle">η</ml:id> </ml:apply> </ml:define> </math>
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				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="m1">Pmax</ml:id> <ml:apply>
						<ml:mult/> <ml:apply>
							<ml:mult/> <ml:real>50</ml:real> <ml:id xml:space="preserve">kW</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="eng_m1">η</ml:id> </ml:apply> </ml:define> </math>
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			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="ice">Pmax</ml:id> <ml:apply>
						<ml:mult/> <ml:apply>
							<ml:mult/> <ml:real>112</ml:real> <ml:id xml:space="preserve">kW</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="eng_m1">η</ml:id> </ml:apply> </ml:define> </math>
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		<region region-id="3220803889" left="540" top="1709.25" width="276" height="226.5" align-x="546.75" align-y="1722" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit">
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						<b>
							<u>
								<inlineAttr line-through="false">RAV4 Gen IV</inlineAttr>
							</u>
						</b>
					</f>
					<f size="14">
						<b>
							<u> Hybrid Synergy Drive Specs</u>
						</b>
					</f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
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						<inlineAttr font-weight="normal" underline="false" line-through="false">
							<sp count="2"/>Frontal Area: 73in x 67 in - 3.155 m</inlineAttr>
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					<inlineAttr font-weight="normal" underline="false" line-through="false">
						<sup>
							<f family="Arial" charset="0" size="12">2</f>
						</sup>
					</inlineAttr>
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit">
					<f family="Arial" charset="0" size="12">
						<b>
							<u>
								<inlineAttr line-through="false">Electronic On-Demand Four-Wheel Drive</inlineAttr>
							</u>
						</b>
					</f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<inlineAttr line-through="false">
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							<b>
								<u>Atikinson 4-Cycle Internal Combustion Engine</u>
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					</inlineAttr>
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					<f family="Arial" charset="0">
						<inlineAttr font-weight="normal" underline="false" line-through="false">
							<sp count="5"/>
						</inlineAttr>
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					<f family="Arial" charset="0">
						<inlineAttr font-weight="normal" underline="false" line-through="false">2.5 L Atkinson 4-cycle</inlineAttr>
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
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						<inlineAttr font-weight="normal" underline="false" line-through="false">
							<sp count="10"/>Power:<sp count="2"/>
						</inlineAttr>
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					<inlineAttr underline="false" line-through="false">
						<b>
							<f family="Arial" charset="0">150 hp</f>
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					</inlineAttr>
					<f family="Arial" charset="0">
						<inlineAttr font-weight="normal" underline="false" line-through="false">
							<sp count="2"/>(112 kW) @5700 rpm</inlineAttr>
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f family="Arial" charset="0">
						<inlineAttr font-weight="normal" underline="false" line-through="false">
							<sp count="10"/>Torque; 152 fl-lbf (206 N-m)@4400 rpm</inlineAttr>
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"/>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<inlineAttr line-through="false">
						<b>
							<f family="Arial" charset="0">
								<u>Traction Motors m1 &amp; m2 - PM Magnet Synchronous</u>
							</f>
						</b>
					</inlineAttr>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<inlineAttr font-weight="normal" underline="false" line-through="false">
						<f family="Arial" charset="0">
							<sp count="4"/>M2 Front Motor: 105 kW, 199 ft-lbf,<sp count="2"/>(270 N-m)</f>
					</inlineAttr>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<inlineAttr font-weight="normal" underline="false" line-through="false">
						<f family="Arial" charset="0">
							<sp count="4"/>M3 Rear Motor:<sp count="3"/>50 kW,<sp count="2"/>103 ft-lbf,<sp count="2"/>(139 N-m) </f>
					</inlineAttr>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<inlineAttr font-weight="normal" underline="false" line-through="false">
						<f family="Arial" charset="0">
							<sp count="4"/>Total M2 + M3 Motor Power: </f>
					</inlineAttr>
					<b>
						<f family="Arial" charset="0">
							<inlineAttr underline="false" line-through="false">208 hp</inlineAttr>
						</f>
					</b>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<inlineAttr underline="false" line-through="false">
						<b>
							<f family="Arial" charset="0">Total: 150 +208 = 358 hp !!!!</f>
						</b>
					</inlineAttr>
				</p>
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">
					<b>
						<f family="Arial" charset="0">
							<inlineAttr underline="false" line-through="false">T</inlineAttr>
						</f>
					</b>
					<f family="Arial" charset="0">
						<b>
							<inlineAttr underline="false" line-through="false">otal 194 hp </inlineAttr>
						</b>
					</f>
				</p>
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit"/>
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">
					<inlineAttr font-weight="normal" underline="false" line-through="false">
						<f family="Arial" charset="0">Ni-H Battery 1.6kW-hr<sp count="3"/>6.5 amp hr</f>
					</inlineAttr>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"/>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<inlineAttr font-weight="normal" underline="false" line-through="false">
						<f family="Arial" charset="0">Curb Weight: 3950 lbs<sp count="13"/>Tire Radius: 0.362 m</f>
					</inlineAttr>
				</p>
			</text>
		</region>
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			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="m1">Pmax</ml:id> <ml:unitOverride>
						<ml:id xml:space="preserve">hp</ml:id>
					</ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>63.698549255763822</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="horsepower"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math>
			<rendering item-idref="70"/>
		</region>
		<region region-id="3220803121" left="354" top="1731" width="84" height="15" align-x="387.75" align-y="1740" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="ice">Pmax</ml:id> <ml:unitOverride>
						<ml:id xml:space="preserve">hp</ml:id>
					</ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>142.68475033291097</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="horsepower"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math>
			<rendering item-idref="71"/>
		</region>
		<region region-id="3220800325" left="12" top="1748.25" width="81" height="12" align-x="12" align-y="1758" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">Max Motor Torque:</p>
			</text>
		</region>
		<region region-id="3220803118" left="222" top="1749" width="120.75" height="15" align-x="261" align-y="1758" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="m1">Tmax</ml:id> <ml:apply>
						<ml:mult/> <ml:apply>
							<ml:mult/> <ml:apply>
								<ml:mult/> <ml:real>139</ml:real> <ml:id xml:space="preserve">ft</ml:id> </ml:apply> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="eng_m1">η</ml:id> </ml:apply> </ml:define> </math>
			<rendering item-idref="72"/>
		</region>
		<region region-id="3220803113" left="384" top="1749" width="115.5" height="15" align-x="422.25" align-y="1758" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="ice">Tmax</ml:id> <ml:apply>
						<ml:mult/> <ml:apply>
							<ml:mult/> <ml:apply>
								<ml:mult/> <ml:real>152</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:apply> <ml:id xml:space="preserve">m</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="eng_m1">η</ml:id> </ml:apply> </ml:define> </math>
			<rendering item-idref="73"/>
		</region>
		<region region-id="3220803123" left="108" top="1761" width="127.5" height="15" align-x="147" align-y="1770" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="m2">Tmax</ml:id> <ml:apply>
						<ml:mult/> <ml:apply>
							<ml:mult/> <ml:apply>
								<ml:mult/> <ml:apply>
									<ml:mult style="auto-select"/> <ml:real>270</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:apply> <ml:id xml:space="preserve">m</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="m2">GR</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="axle">η</ml:id> </ml:apply> </ml:define> </math>
			<rendering item-idref="74"/>
		</region>
		<region region-id="3220803619" left="258" top="1773" width="60.75" height="15" align-x="278.25" align-y="1782" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="tire">r</ml:id> <ml:apply>
						<ml:mult/> <ml:real>0.362</ml:real> <ml:id xml:space="preserve">m</ml:id> </ml:apply> </ml:define> </math>
			<rendering item-idref="75"/>
		</region>
		<region region-id="3220803122" left="384" top="1767" width="63" height="18.75" align-x="411.75" align-y="1782" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">RPM</ml:id> <ml:apply>
						<ml:pow/> <ml:id xml:space="preserve">min</ml:id> <ml:real>-1</ml:real> </ml:apply> </ml:define> </math>
			<rendering item-idref="76"/>
		</region>
		<region region-id="3220800329" left="12" top="1790.25" width="85.5" height="12" align-x="12" align-y="1800" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">Max Motor Speeds:</p>
			</text>
		</region>
		<region region-id="3220800542" left="114" top="1790.25" width="133.5" height="12" align-x="138.75" align-y="1800" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f family="Arial" charset="0">
						<b>
							<inlineAttr line-through="false">Max. Acceleration Mode==&gt;</inlineAttr>
						</b>
					</f>
				</p>
			</text>
		</region>
		<region region-id="3220800330" left="252" top="1791" width="92.25" height="15" align-x="292.5" align-y="1800" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffff80" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="m1">Ωmax</ml:id> <ml:apply>
						<ml:mult/> <ml:real>6700</ml:real> <ml:id xml:space="preserve">RPM</ml:id> </ml:apply> </ml:define> </math>
			<rendering item-idref="77"/>
		</region>
		<region region-id="3220800331" left="378" top="1791" width="91.5" height="15" align-x="417.75" align-y="1800" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="ice">Ωmax</ml:id> <ml:apply>
						<ml:mult/> <ml:real>5700</ml:real> <ml:id xml:space="preserve">RPM</ml:id> </ml:apply> </ml:define> </math>
			<rendering item-idref="78"/>
		</region>
		<region region-id="3220803288" left="18" top="1815" width="82.5" height="15" align-x="58.5" align-y="1824" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#f00" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="m1">Ωmax</ml:id> <ml:id xml:space="preserve" subscript="m1">Ωmax</ml:id> </ml:define> </math>
			<rendering item-idref="79"/>
		</region>
		<region region-id="3220802335" left="114" top="1815" width="120.75" height="15" align-x="185.25" align-y="1824" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:apply>
						<ml:mult/> <ml:id xml:space="preserve" subscript="m1">Tmax</ml:id> <ml:id xml:space="preserve" subscript="m1">Ωmax</ml:id> </ml:apply> <ml:unitOverride>
						<ml:id xml:space="preserve">kW</ml:id>
					</ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>19.992326541949694</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="kilowatt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math>
			<rendering item-idref="80"/>
		</region>
		<region region-id="3220802334" left="258" top="1814.25" width="200.25" height="12" align-x="267.75" align-y="1824" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Note MG1's power is speed (6500 rpm) limited</p>
			</text>
		</region>
		<region region-id="3220803963" left="828" top="1815" width="106.5" height="12.75" align-x="873" align-y="1824" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:apply>
						<ml:mult/> <ml:apply>
							<ml:mult style="auto-select"/> <ml:real>2700</ml:real> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> <ml:id xml:space="preserve">ft</ml:id> </ml:apply> <ml:unitOverride>
						<ml:apply>
							<ml:mult/>
							<ml:id xml:space="preserve">N</ml:id>
							<ml:id xml:space="preserve">m</ml:id>
						</ml:apply>
					</ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>3660.7084604947809</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="meter"/> <unitReference unit="newton"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math>
			<rendering item-idref="81"/>
		</region>
		<region region-id="3220802825" left="360" top="1826.25" width="149.25" height="12" align-x="366" align-y="1836" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f family="Arial" charset="0">
						<b>
							<u>
								<inlineAttr line-through="false">Set Pmaxbat to 0 for Extremum</inlineAttr>
							</u>
						</b>
					</f>
				</p>
			</text>
		</region>
		<region region-id="3220802158" left="12" top="1839" width="96.75" height="15" align-x="49.5" align-y="1848" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Redline</ml:id> <ml:apply>
						<ml:mult/> <ml:id xml:space="preserve" subscript="ice">Ωmax</ml:id> <ml:id xml:space="preserve">min</ml:id> </ml:apply> </ml:define> </math>
			<rendering item-idref="82"/>
		</region>
		<region region-id="3220802159" left="132" top="1839" width="84" height="15" align-x="168" align-y="1848" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="m2">Tmax</ml:id> <ml:unitOverride>
						<ml:apply>
							<ml:mult/>
							<ml:id xml:space="preserve">N</ml:id>
							<ml:id xml:space="preserve">m</ml:id>
						</ml:apply>
					</ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>256.5</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="meter"/> <unitReference unit="newton"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math>
			<rendering item-idref="83"/>
		</region>
		<region region-id="3220802156" left="252" top="1839" width="92.25" height="15" align-x="295.5" align-y="1848" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="bat">Energy</ml:id> <ml:apply>
						<ml:mult/> <ml:apply>
							<ml:mult/> <ml:real>1.6</ml:real> <ml:id xml:space="preserve">kW</ml:id> </ml:apply> <ml:id xml:space="preserve">hr</ml:id> </ml:apply> </ml:define> </math>
			<rendering item-idref="84"/>
		</region>
		<region region-id="3220802157" left="378" top="1839" width="73.5" height="15" align-x="416.25" align-y="1848" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="bat">Pmax</ml:id> <ml:apply>
						<ml:mult/> <ml:real>27</ml:real> <ml:id xml:space="preserve">kW</ml:id> </ml:apply> </ml:define> </math>
			<rendering item-idref="85"/>
		</region>
		<region region-id="3220802792" left="132" top="1874.25" width="194.25" height="12" align-x="146.25" align-y="1884" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f family="Arial" charset="0">
						<b>
							<u>
								<inlineAttr line-through="false">Chassis and Environmental Parameters </inlineAttr>
							</u>
						</b>
					</f>
				</p>
			</text>
		</region>
		<region region-id="3220802162" left="12" top="1892.25" width="100.5" height="12" align-x="12" align-y="1902" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit">Average Wind Velocity:</p>
			</text>
		</region>
		<region region-id="3220802163" left="132" top="1893" width="54.75" height="12.75" align-x="153" align-y="1902" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Vw</ml:id> <ml:apply>
						<ml:mult/> <ml:real>0</ml:real> <ml:id xml:space="preserve">mph</ml:id> </ml:apply> </ml:define> </math>
			<rendering item-idref="86"/>
		</region>
		<region region-id="3220800345" left="252" top="1892.25" width="59.25" height="12" align-x="252" align-y="1902" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit">Frontal Area*:</p>
			</text>
		</region>
		<region region-id="3220803125" left="378" top="1887" width="57" height="18.75" align-x="399.75" align-y="1902" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Afg</ml:id> <ml:apply>
						<ml:mult/> <ml:real>3.1</ml:real> <ml:apply>
							<ml:pow/> <ml:id xml:space="preserve">m</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:define> </math>
			<rendering item-idref="87"/>
		</region>
		<region region-id="3220800347" left="12" top="1910.25" width="108.75" height="12" align-x="24" align-y="1920" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Shape Correction Factor:</p>
			</text>
		</region>
		<region region-id="3220800348" left="132" top="1911" width="49.5" height="12.75" align-x="156" align-y="1920" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">SCF</ml:id> <ml:real>0.85</ml:real> </ml:define> </math>
			<rendering item-idref="88"/>
		</region>
		<region region-id="3220800349" left="252" top="1916.25" width="100.5" height="12" align-x="265.5" align-y="1926" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Frontal Area Corrected:</p>
			</text>
		</region>
		<region region-id="3220800350" left="378" top="1917" width="62.25" height="12.75" align-x="396.75" align-y="1926" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Af</ml:id> <ml:apply>
						<ml:mult/> <ml:id xml:space="preserve">Afg</ml:id> <ml:id xml:space="preserve">SCF</ml:id> </ml:apply> </ml:define> </math>
			<rendering item-idref="89"/>
		</region>
		<region region-id="3220800351" left="444" top="1911" width="59.25" height="18.75" align-x="461.25" align-y="1926" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Af</ml:id> <ml:unitOverride>
						<ml:apply>
							<ml:pow/>
							<ml:id xml:space="preserve">m</ml:id>
							<ml:real>2</ml:real>
						</ml:apply>
					</ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>2.635</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="meter" power-numerator="2"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math>
			<rendering item-idref="90"/>
		</region>
		<region region-id="3220800352" left="12" top="1928.25" width="48" height="12" align-x="12" align-y="1938" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit">Drag Coeff:</p>
			</text>
		</region>
		<region region-id="3220800353" left="132" top="1929" width="43.5" height="12.75" align-x="150" align-y="1938" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Cd</ml:id> <ml:real>0.30</ml:real> </ml:define> </math>
			<rendering item-idref="91"/>
		</region>
		<region region-id="3220800354" left="252" top="1934.25" width="120.75" height="12" align-x="252" align-y="1944" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit">Rolling Resistance Per Tire:</p>
			</text>
		</region>
		<region region-id="3220800355" left="378" top="1935" width="60" height="15" align-x="408" align-y="1944" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="tire">RR</ml:id> <ml:real>0.007</ml:real> </ml:define> </math>
			<rendering item-idref="92"/>
		</region>
		<region region-id="3220800356" left="12" top="1946.25" width="96.75" height="12" align-x="23.25" align-y="1956" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">Cross Wind Drag Coff:</p>
			</text>
		</region>
		<region region-id="3220800357" left="132" top="1947" width="72" height="15" align-x="159" align-y="1956" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="cw">Cd</ml:id> <ml:real>0.000014</ml:real> </ml:define> </math>
			<rendering item-idref="93"/>
		</region>
		<region region-id="3220800748" left="252" top="1946.25" width="106.5" height="12" align-x="252" align-y="1956" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit">(Average 0% road grade)</p>
			</text>
		</region>
		<region region-id="3220803628" left="732" top="1940.25" width="75" height="27.75" align-x="765" align-y="1956" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:apply>
						<ml:mult style="auto-select"/> <ml:real>28.5</ml:real> <ml:apply>
							<ml:div/> <ml:id xml:space="preserve">in</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.36195</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="meter"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math>
			<rendering item-idref="94"/>
		</region>
		<region region-id="3220800749" left="378" top="1953" width="56.25" height="12.75" align-x="390" align-y="1962" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">θ</ml:id> <ml:apply>
						<ml:id xml:space="preserve">atan</ml:id> <ml:real>0.0</ml:real> </ml:apply> </ml:define> </math>
			<rendering item-idref="95"/>
		</region>
		<region region-id="3220802880" left="444" top="1952.25" width="50.25" height="13.5" align-x="444" align-y="1962" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit">
					<region region-id="3220798457" left="444" top="1953" width="6" height="12.75" align-x="446.25" align-y="1962" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
						<math optimize="false" disable-calc="false">
							<ml:id xml:space="preserve" xmlns:ml="http://schemas.mathsoft.com/math30">θ</ml:id> </math>
						<rendering item-idref="96"/>
					</region> (radians):</p>
			</text>
		</region>
		<region region-id="3220803890" left="600" top="1959" width="83.25" height="12.75" align-x="633" align-y="1968" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:apply>
						<ml:mult style="auto-select"/> <ml:real>105</ml:real> <ml:id xml:space="preserve">kW</ml:id> </ml:apply> <ml:unitOverride>
						<ml:id xml:space="preserve">hp</ml:id>
					</ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>140.80731940747793</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="horsepower"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math>
			<rendering item-idref="97"/>
		</region>
		<region region-id="3220800360" left="12" top="1970.25" width="51" height="12" align-x="12" align-y="1980" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit">Air Density:</p>
			</text>
		</region>
		<region region-id="3220800751" left="132" top="1964.25" width="63.75" height="27.75" align-x="144" align-y="1980" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">ρ</ml:id> <ml:apply>
						<ml:mult/> <ml:real>1.293</ml:real> <ml:apply>
							<ml:div/> <ml:id xml:space="preserve">gm</ml:id> <ml:id xml:space="preserve">liter</ml:id> </ml:apply> </ml:apply> </ml:define> </math>
			<rendering item-idref="98"/>
		</region>
		<region region-id="3220802160" left="252" top="1970.25" width="91.5" height="12" align-x="252" align-y="1980" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit">Average Cross Wind:</p>
			</text>
		</region>
		<region region-id="3220802161" left="378" top="1971" width="56.25" height="15" align-x="400.5" align-y="1980" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="cw">V</ml:id> <ml:apply>
						<ml:mult/> <ml:real>0</ml:real> <ml:id xml:space="preserve">mph</ml:id> </ml:apply> </ml:define> </math>
			<rendering item-idref="99"/>
		</region>
		<region region-id="3220803891" left="558" top="1983" width="74.25" height="12.75" align-x="586.5" align-y="1992" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:apply>
						<ml:mult style="auto-select"/> <ml:real>50</ml:real> <ml:id xml:space="preserve">kW</ml:id> </ml:apply> <ml:unitOverride>
						<ml:id xml:space="preserve">hp</ml:id>
					</ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>67.051104479751388</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="horsepower"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math>
			<rendering item-idref="100"/>
		</region>
		<region region-id="3220800364" left="12" top="1994.25" width="88.5" height="12" align-x="12" align-y="2004" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit">Road Rolling Resist:</p>
			</text>
		</region>
		<region region-id="3220800365" left="132" top="1995" width="63" height="15" align-x="165" align-y="2004" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ffff" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="road">RR</ml:id> <ml:real>0.002</ml:real> </ml:define> </math>
			<rendering item-idref="101"/>
		</region>
		<region region-id="3220800366" left="252" top="1994.25" width="57" height="12" align-x="252" align-y="2004" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit">Curb Weight:</p>
			</text>
		</region>
		<region region-id="3220800367" left="378" top="1995" width="67.5" height="15" align-x="407.25" align-y="2004" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="curb">M</ml:id> <ml:apply>
						<ml:mult/> <ml:real>3950</ml:real> <ml:id xml:space="preserve">lb</ml:id> </ml:apply> </ml:define> </math>
			<rendering item-idref="102"/>
		</region>
		<region region-id="3220800368" left="12" top="2012.25" width="100.5" height="12" align-x="32.25" align-y="2022" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Rotational Inertia Coeff:</p>
			</text>
		</region>
		<region region-id="3220800369" left="132" top="2013" width="42.75" height="15" align-x="149.25" align-y="2022" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="m">k</ml:id> <ml:real>1.08</ml:real> </ml:define> </math>
			<rendering item-idref="103"/>
		</region>
		<region region-id="3220800370" left="252" top="2012.25" width="83.25" height="12" align-x="272.25" align-y="2022" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Passenger Weight:</p>
			</text>
		</region>
		<region region-id="3220800371" left="378" top="2013" width="88.5" height="12.75" align-x="432.75" align-y="2022" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Passengers2</ml:id> <ml:apply>
						<ml:mult/> <ml:real>170</ml:real> <ml:id xml:space="preserve">lb</ml:id> </ml:apply> </ml:define> </math>
			<rendering item-idref="104"/>
		</region>
		<region region-id="3220800372" left="12" top="2030.25" width="63" height="12" align-x="23.25" align-y="2040" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Gross Weight:</p>
			</text>
		</region>
		<region region-id="3220800373" left="108" top="2031" width="122.25" height="15" align-x="139.5" align-y="2040" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="gross">M</ml:id> <ml:apply>
						<ml:plus/> <ml:id xml:space="preserve" subscript="curb">M</ml:id> <ml:id xml:space="preserve">Passengers2</ml:id> </ml:apply> </ml:define> </math>
			<rendering item-idref="105"/>
		</region>
		<region region-id="3220800374" left="252" top="2031" width="66" height="15" align-x="282" align-y="2040" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="gross">M</ml:id> <ml:unitOverride>
						<ml:id xml:space="preserve">lb</ml:id>
					</ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>4120</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="pound"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math>
			<rendering item-idref="106"/>
		</region>
		<region region-id="3220800375" left="378" top="2024.25" width="87.75" height="27.75" align-x="405" align-y="2040" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="batt">M</ml:id> <ml:apply>
						<ml:mult/> <ml:apply>
							<ml:mult/> <ml:real>9.999</ml:real> <ml:id xml:space="preserve">kg</ml:id> </ml:apply> <ml:apply>
							<ml:div/> <ml:real>1.6</ml:real> <ml:real>1.3</ml:real> </ml:apply> </ml:apply> </ml:define> </math>
			<rendering item-idref="107"/>
		</region>
		<region region-id="3220803892" left="648" top="2031" width="66.75" height="12.75" align-x="687.75" align-y="2040" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:apply>
						<ml:plus/> <ml:real>141</ml:real> <ml:real>67</ml:real> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30">
						<ml:real>208</ml:real> </result> </ml:eval> </math>
			<rendering item-idref="108"/>
		</region>
		<region region-id="3220802974" left="12" top="2058.75" width="447" height="13.5" align-x="12" align-y="2070" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit">
					<f family="Arial" charset="0" size="12">
						<b>
							<i>
								<u>
									<inlineAttr line-through="false">Vehicle Dynamics Equations - Find Velocity and Time for Maximum Acceleration</inlineAttr>
								</u>
							</i>
						</b>
					</f>
				</p>
			</text>
		</region>
		<region region-id="3220803893" left="570" top="2055" width="74.25" height="18.75" align-x="597.75" align-y="2070" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:apply>
						<ml:mult style="auto-select"/> <ml:real>3.1</ml:real> <ml:apply>
							<ml:pow/> <ml:id xml:space="preserve">m</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:unitOverride>
						<ml:apply>
							<ml:pow/>
							<ml:id xml:space="preserve">ft</ml:id>
							<ml:real>2</ml:real>
						</ml:apply>
					</ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>33.368122291800141</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="foot" power-numerator="2"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math>
			<rendering item-idref="109"/>
		</region>
		<region region-id="3220802975" left="12" top="2078.25" width="92.25" height="12" align-x="12" align-y="2088" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit">Road Resistance, Fr:</p>
			</text>
		</region>
		<region region-id="3220802976" left="120" top="2079" width="212.25" height="15" align-x="147.75" align-y="2088" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:function>
						<ml:id xml:space="preserve">Fr</ml:id> <ml:boundVars>
							<ml:id xml:space="preserve">v</ml:id> </ml:boundVars> </ml:function> <ml:apply>
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										<ml:apply>
											<ml:plus/> <ml:id xml:space="preserve" subscript="tire">RR</ml:id> <ml:id xml:space="preserve" subscript="road">RR</ml:id> </ml:apply> </ml:parens> <ml:apply>
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									<ml:id xml:space="preserve">sin</ml:id> <ml:id xml:space="preserve">θ</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math>
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit">Aerodynamic Loss, Fa:</p>
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit">Opposing Force, Fo:</p>
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							<u>
								<inlineAttr line-through="false">V</inlineAttr>
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							<u>
								<inlineAttr line-through="false">elocity vs Shaft (MG2 Rotaional Speed) and Hybrid Synergy Gearing</inlineAttr>
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								<ml:mult/> <ml:apply>
									<ml:mult/> <ml:apply>
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							<ml:mult/> <ml:id xml:space="preserve">GR</ml:id> <ml:id xml:space="preserve">mph</ml:id> </ml:apply> </ml:apply> </ml:define> </math>
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							<u>
								<inlineAttr line-through="false">Verify </inlineAttr>
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					<b>
						<u>MG2 </u>
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							<u>
								<inlineAttr line-through="false">Rotational Speeds Do Not Redline</inlineAttr>
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						<b>
							<i>
								<u>Control Strategies (Hybrid Synergy Drive Speed Relationships):</u>
							</i>
						</b>
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							<i>
								<inlineAttr underline="false" line-through="false">Develop an </inlineAttr>
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						<b>
							<i>
								<inlineAttr underline="false" line-through="false">MG1 Profile and then Find Speed Relationships of MG2(ICE) and ICE(MG2)</inlineAttr>
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					<b>ω</b>
					<b>
						<sub>mg2 </sub>
					</b>
					<b>is not defined</b>. Only specified as an IF xx,<sp count="2"/>--&gt; Then yy condition or range variable. </p>
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							<u>
								<inlineAttr line-through="false">Max Acceleration Control Strategy P1:<sp count="3"/>Turn on ICE at 15 mph (See Control Plot)</inlineAttr>
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
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						<b>
							<inlineAttr underline="false" line-through="false">A</inlineAttr>
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						<b>
							<inlineAttr underline="false" line-through="false">pply maxium MG1 power/speed </inlineAttr>
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						<math optimize="false" disable-calc="false">
							<ml:id xml:space="preserve" subscript="m1" xmlns:ml="http://schemas.mathsoft.com/math30">Ωmax</ml:id> </math>
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						<b>
							<inlineAttr underline="false" line-through="false"> = 8500 RPM from Generator MG1 to MG2.</inlineAttr>
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						<b>
							<u>
								<inlineAttr line-through="false">Hybrid Synergy Drive</inlineAttr>
							</u>
						</b>
					</f>
				</p>
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						<b>
							<inlineAttr line-through="false">MG1 Control Stategy:</inlineAttr>
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					</f>
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				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="center" list-style-type="none" tabs="inherit">Max MG1 Rotation</p>
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						<math optimize="false" disable-calc="false">
							<ml:id xml:space="preserve" subscript="m1" xmlns:ml="http://schemas.mathsoft.com/math30">Ωmax</ml:id> </math>
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				</p>
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="center" list-style-type="none" tabs="inherit">Initial M2 Spinup (<region region-id="3220802502" left="86.25" top="2303.25" width="19.5" height="12.75" align-x="95.25" align-y="2312.25" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#0ff" tag="">
						<math optimize="false" disable-calc="false">
							<ml:id xml:space="preserve" xmlns:ml="http://schemas.mathsoft.com/math30">Ωm1</ml:id> </math>
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					</region>),</p>
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="center" list-style-type="none" tabs="inherit">
					<region region-id="3220802499" left="32.25" top="2316.75" width="63" height="15" align-x="66" align-y="2325.75" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#0ff" tag="">
						<math optimize="false" disable-calc="false">
							<ml:apply xmlns:ml="http://schemas.mathsoft.com/math30">
								<ml:id xml:space="preserve" subscript="m2">Ω1init</ml:id> <ml:id xml:space="preserve" subscript="mg2">ω</ml:id> </ml:apply> </math>
						<rendering item-idref="125"/>
					</region>
				</p>
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="center" list-style-type="none" tabs="inherit">and Driving Profiles, <region region-id="3220802583" left="22.5" top="2343.75" width="36" height="15" align-x="39.75" align-y="2352.75" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#0ff" tag="">
						<math optimize="false" disable-calc="false">
							<ml:id xml:space="preserve" subscript="m1" xmlns:ml="http://schemas.mathsoft.com/math30">Ω1Prfl</ml:id> </math>
						<rendering item-idref="126"/>
					</region>,<region region-id="3220802820" left="63" top="2343.75" width="40.5" height="15" align-x="82.5" align-y="2352.75" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#0ff" tag="">
						<math optimize="false" disable-calc="false">
							<ml:id xml:space="preserve" subscript="m1" xmlns:ml="http://schemas.mathsoft.com/math30">Ω1Prfl2</ml:id> </math>
						<rendering item-idref="127"/>
					</region>
				</p>
			</text>
		</region>
		<region region-id="3220803039" left="126" top="2268" width="375.75" height="30" align-x="195.75" align-y="2286" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:function>
						<ml:id xml:space="preserve" subscript="m2">Ω1init</ml:id> <ml:boundVars>
							<ml:id xml:space="preserve" subscript="mg2">ω</ml:id> </ml:boundVars> </ml:function> <ml:apply>
						<ml:id xml:space="preserve">if</ml:id> <ml:sequence>
							<ml:apply>
								<ml:and/> <ml:apply>
									<ml:lessThan/> <ml:id xml:space="preserve" subscript="mg2">ω</ml:id> <ml:real>700</ml:real> </ml:apply> <ml:apply>
									<ml:greaterThan/> <ml:id xml:space="preserve" subscript="bat">Pmax</ml:id> <ml:apply>
										<ml:mult/> <ml:real>1</ml:real> <ml:id xml:space="preserve">kW</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply>
								<ml:plus/> <ml:real>1000</ml:real> <ml:apply>
									<ml:mult/> <ml:apply>
										<ml:div/> <ml:id xml:space="preserve" subscript="m1">Ωmax</ml:id> <ml:real>820</ml:real> </ml:apply> <ml:apply>
										<ml:div/> <ml:id xml:space="preserve" subscript="mg2">ω</ml:id> <ml:id xml:space="preserve">RPM</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply>
								<ml:mult/> <ml:id xml:space="preserve" subscript="m1">Ωmax</ml:id> <ml:id xml:space="preserve">min</ml:id> </ml:apply> </ml:sequence> </ml:apply> </ml:define> </math>
			<rendering item-idref="128"/>
		</region>
		<region region-id="3220803040" left="126" top="2304" width="370.5" height="30" align-x="190.5" align-y="2322" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:function>
						<ml:id xml:space="preserve" subscript="ice">Ω1init</ml:id> <ml:boundVars>
							<ml:id xml:space="preserve" subscript="ice">ω</ml:id> </ml:boundVars> </ml:function> <ml:apply>
						<ml:id xml:space="preserve">if</ml:id> <ml:sequence>
							<ml:apply>
								<ml:and/> <ml:apply>
									<ml:lessThan/> <ml:id xml:space="preserve" subscript="ice">ω</ml:id> <ml:real>1700</ml:real> </ml:apply> <ml:apply>
									<ml:greaterThan/> <ml:id xml:space="preserve" subscript="bat">Pmax</ml:id> <ml:apply>
										<ml:mult/> <ml:real>1</ml:real> <ml:id xml:space="preserve">kW</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply>
								<ml:plus/> <ml:real>1000</ml:real> <ml:apply>
									<ml:mult/> <ml:apply>
										<ml:div/> <ml:id xml:space="preserve" subscript="m1">Ωmax</ml:id> <ml:real>1950</ml:real> </ml:apply> <ml:apply>
										<ml:div/> <ml:id xml:space="preserve" subscript="ice">ω</ml:id> <ml:id xml:space="preserve">RPM</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply>
								<ml:mult/> <ml:id xml:space="preserve" subscript="m1">Ωmax</ml:id> <ml:id xml:space="preserve">min</ml:id> </ml:apply> </ml:sequence> </ml:apply> </ml:define> </math>
			<rendering item-idref="129"/>
		</region>
		<region region-id="3220803894" left="540" top="2328" width="286.5" height="167.25" align-x="540" align-y="2328" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<plot disable-calc="false" item-idref="130"/>
			<rendering item-idref="131"/>
		</region>
		<region region-id="3220803041" left="126" top="2343" width="142.5" height="15" align-x="197.25" align-y="2352" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#0ff" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:function>
						<ml:id xml:space="preserve" subscript="m1">Ω1Prfl</ml:id> <ml:boundVars>
							<ml:id xml:space="preserve" subscript="mg2">ω</ml:id> </ml:boundVars> </ml:function> <ml:apply>
						<ml:id xml:space="preserve" subscript="m2">Ω1init</ml:id> <ml:id xml:space="preserve" subscript="mg2">ω</ml:id> </ml:apply> </ml:define> </math>
			<rendering item-idref="132"/>
		</region>
		<region region-id="3220803007" left="12" top="2366.25" width="498" height="15.75" align-x="28.5" align-y="2376" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f family="Arial" charset="0">
						<b>
							<u>
								<inlineAttr line-through="false">Nominal Control Strategy P2: Constant ICE (rpm= 1800) to 60 mph, then ramp up. Profile 2- </inlineAttr>
							</u>
						</b>
					</f>
					<region region-id="3220802779" left="398.25" top="2367" width="42.75" height="15" align-x="418.5" align-y="2376" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
						<math optimize="false" disable-calc="false">
							<ml:id xml:space="preserve" subscript="m1" xmlns:ml="http://schemas.mathsoft.com/math30">Ω1Prfl2</ml:id> </math>
						<rendering item-idref="133"/>
					</region>
				</p>
			</text>
		</region>
		<region region-id="3220803014" left="90" top="2384.25" width="398.25" height="15.75" align-x="97.5" align-y="2394" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Use just <region region-id="3220803010" left="124.5" top="2385" width="49.5" height="15" align-x="153" align-y="2394" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
						<math optimize="false" disable-calc="false">
							<ml:apply xmlns:ml="http://schemas.mathsoft.com/math30">
								<ml:id xml:space="preserve" subscript="ice_vel">Ω</ml:id> <ml:id xml:space="preserve">vel</ml:id> </ml:apply> </math>
						<rendering item-idref="134"/>
					</region>
					<f family="Arial" charset="0" size="10">
						<inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">
							<sp/>
						</inlineAttr>
					</f>to find resultant relation between MG1 and Velocity, i.e. MG2</p>
			</text>
		</region>
		<region region-id="3220802784" left="36" top="2409" width="60" height="15" align-x="78" align-y="2418" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="rev_up">Vel</ml:id> <ml:real>60</ml:real> </ml:define> </math>
			<rendering item-idref="135"/>
		</region>
		<region region-id="3220803016" left="126" top="2402.25" width="330.75" height="30" align-x="181.5" align-y="2418" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:function>
						<ml:id xml:space="preserve" subscript="ice_vel">Ω</ml:id> <ml:boundVars>
							<ml:id xml:space="preserve">vel</ml:id> </ml:boundVars> </ml:function> <ml:apply>
						<ml:id xml:space="preserve">if</ml:id> <ml:sequence>
							<ml:apply>
								<ml:lessThan/> <ml:id xml:space="preserve">vel</ml:id> <ml:id xml:space="preserve" subscript="rev_up">Vel</ml:id> </ml:apply> <ml:real>1800</ml:real> <ml:apply>
								<ml:plus/> <ml:real>1800</ml:real> <ml:apply>
									<ml:mult/> <ml:parens>
										<ml:apply>
											<ml:minus/> <ml:id xml:space="preserve">vel</ml:id> <ml:id xml:space="preserve" subscript="rev_up">Vel</ml:id> </ml:apply> </ml:parens> <ml:apply>
										<ml:div/> <ml:apply>
											<ml:minus/> <ml:real>4000</ml:real> <ml:real>1800</ml:real> </ml:apply> <ml:apply>
											<ml:minus/> <ml:real>100</ml:real> <ml:id xml:space="preserve" subscript="rev_up">Vel</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:sequence> </ml:apply> </ml:define> </math>
			<rendering item-idref="136"/>
		</region>
		<region region-id="3220802789" left="12" top="2432.25" width="114.75" height="51" align-x="19.5" align-y="2442" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f family="Arial" charset="0">
						<b>
							<u>
								<inlineAttr line-through="false">Calculate Control Point</inlineAttr>
							</u>
						</b>
					</f>:</p>
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">Rev up ICE from Cruise at </p>
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">Vehicle Velocity Vel<f family="Arial" charset="0">
						<inlineAttr line-through="false">
							<sub>rev_up</sub>
						</inlineAttr>
					</f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">See Plot Lower Right</p>
			</text>
		</region>
		<region region-id="3220803021" left="126" top="2430" width="205.5" height="30" align-x="187.5" align-y="2448" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:function>
						<ml:id xml:space="preserve" subscript="iceVel">Ω</ml:id> <ml:boundVars>
							<ml:id xml:space="preserve" subscript="mg2">ω</ml:id> </ml:boundVars> </ml:function> <ml:apply>
						<ml:id xml:space="preserve" subscript="ice_vel">Ω</ml:id> <ml:apply>
							<ml:div/> <ml:apply>
								<ml:id xml:space="preserve">velMG2_at_rpm</ml:id> <ml:id xml:space="preserve" subscript="mg2">ω</ml:id> </ml:apply> <ml:id xml:space="preserve">mph</ml:id> </ml:apply> </ml:apply> </ml:define> </math>
			<rendering item-idref="137"/>
		</region>
		<region region-id="3220803022" left="366" top="2439" width="88.5" height="15" align-x="423" align-y="2448" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:apply>
						<ml:id xml:space="preserve" subscript="iceVel">Ω</ml:id> <ml:real>5000</ml:real> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30">
						<ml:real>1800</ml:real> </result> </ml:eval> </math>
			<rendering item-idref="138"/>
		</region>
		<region region-id="3220803023" left="132" top="2463" width="201.75" height="15" align-x="208.5" align-y="2472" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#0ff" tag="">
			<math optimize="false" disable-calc="true">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:function>
						<ml:id xml:space="preserve" subscript="m1">Ω1Prfl2</ml:id> <ml:boundVars>
							<ml:id xml:space="preserve" subscript="mg2">ω</ml:id> </ml:boundVars> </ml:function> <ml:apply>
						<ml:minus/> <ml:apply>
							<ml:mult/> <ml:real>3.6</ml:real> <ml:apply>
								<ml:id xml:space="preserve" subscript="iceVel">Ω</ml:id> <ml:id xml:space="preserve" subscript="mg2">ω</ml:id> </ml:apply> </ml:apply> <ml:apply>
							<ml:mult style="auto-select"/> <ml:real font="0">2.6</ml:real> <ml:id xml:space="preserve" subscript="mg2">ω</ml:id> </ml:apply> </ml:apply> </ml:define> </math>
			<rendering item-idref="139"/>
		</region>
		<region region-id="3220803024" left="132" top="2480.25" width="261.75" height="15.75" align-x="155.25" align-y="2490" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Examination of above then gives us the form of <region region-id="3220803019" left="321.75" top="2481" width="58.5" height="15" align-x="366.75" align-y="2490" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
						<math optimize="false" disable-calc="false">
							<ml:apply xmlns:ml="http://schemas.mathsoft.com/math30">
								<ml:id xml:space="preserve" subscript="vm1">Ω1Prfl2</ml:id> <ml:id xml:space="preserve">v</ml:id> </ml:apply> </math>
						<rendering item-idref="140"/>
					</region>
				</p>
			</text>
		</region>
		<region region-id="3220803025" left="126" top="2498.25" width="278.25" height="27.75" align-x="190.5" align-y="2514" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#0ff" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:function>
						<ml:id xml:space="preserve" subscript="vm1">Ω1Prfl2</ml:id> <ml:boundVars>
							<ml:id xml:space="preserve">v</ml:id> </ml:boundVars> </ml:function> <ml:apply>
						<ml:id xml:space="preserve">if</ml:id> <ml:sequence>
							<ml:apply>
								<ml:lessThan/> <ml:id xml:space="preserve">v</ml:id> <ml:real>60</ml:real> </ml:apply> <ml:apply>
								<ml:minus/> <ml:real>6500</ml:real> <ml:apply>
									<ml:mult/> <ml:apply>
										<ml:div/> <ml:real>7500</ml:real> <ml:real>60</ml:real> </ml:apply> <ml:id xml:space="preserve">v</ml:id> </ml:apply> </ml:apply> <ml:apply>
								<ml:plus/> <ml:real>-1000</ml:real> <ml:apply>
									<ml:mult/> <ml:parens>
										<ml:apply>
											<ml:minus/> <ml:id xml:space="preserve">v</ml:id> <ml:real>60</ml:real> </ml:apply> </ml:parens> <ml:apply>
										<ml:div/> <ml:real>4000</ml:real> <ml:real>60</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:sequence> </ml:apply> </ml:define> </math>
			<rendering item-idref="141"/>
		</region>
		<region region-id="3220803026" left="432" top="2511" width="51.75" height="12.75" align-x="456" align-y="2520" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">xm2</ml:id> <ml:real>1500</ml:real> </ml:define> </math>
			<rendering item-idref="142"/>
		</region>
		<region region-id="3220802952" left="30" top="2538.75" width="477" height="14.25" align-x="43.5" align-y="2550" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">
					<f family="Arial" charset="0">
						<b>
							<inlineAttr line-through="false">
								<u>ICE and MG2 Rotation Profiles From MG1 Profiles </u>
							</inlineAttr>
						</b>
					</f>
					<f family="Symbol" charset="2" size="10">
						<b>
							<u>
								<inlineAttr font-style="normal" line-through="false">W1</inlineAttr>
							</u>
						</b>
					</f>
					<b>
						<u>
							<inlineAttr line-through="false">
								<f family="Arial" charset="0">P</f>
							</inlineAttr>
						</u>
					</b>
					<f family="Arial" charset="0">
						<b>
							<u>
								<inlineAttr line-through="false">rfl</inlineAttr>
							</u>
						</b>
					</f>
					<f family="Arial" charset="0">
						<b>
							<u>
								<inlineAttr line-through="false">1m1 (Enabled)<sp count="3"/>or<sp count="2"/>
								</inlineAttr>
							</u>
						</b>
					</f>
					<f family="Symbol" charset="2" size="10">
						<b>
							<u>
								<inlineAttr font-style="normal" line-through="false">W1</inlineAttr>
							</u>
						</b>
					</f>
					<f family="Arial" charset="0">
						<b>
							<u>
								<inlineAttr line-through="false">Pffl2m1 (Disabled</inlineAttr>
							</u>
						</b>
					</f>
					<f family="Wingdings" charset="2" size="13">§</f>
					<f family="Arial" charset="0">
						<b>
							<u>
								<inlineAttr line-through="false"> ):</inlineAttr>
							</u>
						</b>
					</f>
				</p>
			</text>
		</region>
		<region region-id="3220802861" left="264" top="2556" width="242.25" height="30" align-x="315" align-y="2574" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:function>
						<ml:id xml:space="preserve" subscript="mg2">Ω</ml:id> <ml:boundVars>
							<ml:id xml:space="preserve" subscript="ice">ω</ml:id> </ml:boundVars> </ml:function> <ml:apply>
						<ml:id xml:space="preserve">root</ml:id> <ml:sequence>
							<ml:apply>
								<ml:minus/> <ml:id xml:space="preserve">xm2</ml:id> <ml:apply>
									<ml:div/> <ml:apply>
										<ml:minus/> <ml:apply>
											<ml:mult/> <ml:id xml:space="preserve" subscript="ice">ω</ml:id> <ml:real>3.6</ml:real> </ml:apply> <ml:apply>
											<ml:id xml:space="preserve" subscript="m1">Ω1Prfl</ml:id> <ml:id xml:space="preserve">xm2</ml:id> </ml:apply> </ml:apply> <ml:real>2.6</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">xm2</ml:id> </ml:sequence> </ml:apply> </ml:define> </math>
			<rendering item-idref="143"/>
		</region>
		<region region-id="3220802816" left="36" top="2562" width="181.5" height="30" align-x="87" align-y="2580" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:function>
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								<c val="#f00">MG2 Shaft Rotational Speed </c>
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						<inlineAttr underline="false" line-through="false">
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						<b>
							<inlineAttr underline="false" line-through="false">, and<sp count="2"/>
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						<inlineAttr underline="false" line-through="false">
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								<c val="#008000">MG1 Rotor (Green)</c>
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					<b>
						<inlineAttr underline="false" line-through="false">
							<f family="Arial" charset="0">.</f>
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							<inlineAttr underline="false" line-through="false">Note Max Accel Plot:</inlineAttr>
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						<inlineAttr underline="false" line-through="false"> ICE does not turn on until MG2 propels Vehicle Speed up to 10 mph</inlineAttr>
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								<inlineAttr line-through="false">Given Control Acceleration Stategy </inlineAttr>
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							<u>W1</u>
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					<b>
						<u>P</u>
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					<u>
						<b>rfl</b>
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						<u>1m1</u>
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								<inlineAttr line-through="false">: Calculate Power and Torque</inlineAttr>
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										<ml:mult/> <ml:apply>
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								<ml:greaterOrEqual/> <ml:apply>
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							<inlineAttr line-through="false">Max Power to Inverter: &lt; P2max, P1max + Pbatmax and Pm1&lt; P1max and Pice x 2.6/3.6 </inlineAttr>
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						<inlineAttr line-through="false">MG2 Inverter Power, Pinv:</inlineAttr>
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						<ml:id xml:space="preserve" subscript="m2">Pinv</ml:id> <ml:boundVars>
							<ml:id xml:space="preserve" subscript="mg2">ω</ml:id> </ml:boundVars> </ml:function> <ml:apply>
						<ml:id xml:space="preserve">if</ml:id> <ml:sequence>
							<ml:apply>
								<ml:greaterThan/> <ml:apply>
									<ml:neg/> <ml:parens>
										<ml:apply>
											<ml:mult/> <ml:apply>
												<ml:mult/> <ml:apply>
													<ml:mult/> <ml:apply>
														<ml:id xml:space="preserve" subscript="m1">T</ml:id> <ml:apply>
															<ml:id xml:space="preserve" subscript="m2">Ω1init</ml:id> <ml:id xml:space="preserve" subscript="mg2">ω</ml:id> </ml:apply> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="m1">Ωmax</ml:id> </ml:apply> </ml:parens> </ml:apply> <ml:id xml:space="preserve" subscript="m1">Pmax</ml:id> </ml:apply> <ml:apply>
								<ml:mult/> <ml:parens>
									<ml:apply>
										<ml:plus/> <ml:id xml:space="preserve" subscript="bat">Pmax</ml:id> <ml:id xml:space="preserve" subscript="m1">Pmax</ml:id> </ml:apply> </ml:parens> <ml:id xml:space="preserve" subscript="inv">η</ml:id> </ml:apply> <ml:apply>
								<ml:id xml:space="preserve" subscript="m2">PinvB</ml:id> <ml:id xml:space="preserve" subscript="mg2">ω</ml:id> </ml:apply> </ml:sequence> </ml:apply> </ml:define> </math>
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Torque MG2 </p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Power Limited</p>
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">Break Point, <f family="Symbol" charset="2" size="9">w</f>
					<f size="9">
						<sub>inv</sub>
					</f>
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						<u>
							<inlineAttr line-through="false">Problem,<sp count="2"/>Find </inlineAttr>
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					<f family="Symbol" charset="2" size="9">
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							<inlineAttr line-through="false">w</inlineAttr>
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					<f size="9">
						<u>
							<inlineAttr line-through="false">
								<sub>inv </sub>
							</inlineAttr>
						</u>
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					<f size="9">
						<inlineAttr line-through="false">
							<u>such that:</u>
						</inlineAttr>
					</f>
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f family="Arial" charset="0" size="9">
						<inlineAttr underline="false" line-through="false">(</inlineAttr>
					</f>
					<f family="Arial" charset="0" size="9">
						<inlineAttr underline="false" line-through="false">Tmax</inlineAttr>
					</f>
					<f family="Arial" charset="0" size="9">
						<sub>
							<inlineAttr underline="false" line-through="false">m2</inlineAttr>
						</sub>
					</f>
					<f family="Arial" charset="0" size="9">
						<inlineAttr underline="false" line-through="false">) </inlineAttr>
					</f>
					<f family="Symbol" charset="2" size="9">
						<inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">w</inlineAttr>
					</f>
					<sub>
						<f family="Arial" charset="0" size="9">
							<inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">inv</inlineAttr>
						</f>
					</sub>
					<f family="Arial" charset="0" size="9">
						<inlineAttr underline="false" line-through="false">
							<sp/>
						</inlineAttr>
					</f>
					<f family="Arial" charset="0" size="9">
						<inlineAttr underline="false" line-through="false">= Pinv</inlineAttr>
					</f>
					<f family="Arial" charset="0" size="9">
						<inlineAttr underline="false" line-through="false">
							<sub>m2</sub>
						</inlineAttr>
					</f>
					<f size="9">
						<inlineAttr underline="false" line-through="false">(</inlineAttr>
					</f>
					<inlineAttr underline="false" line-through="false">
						<f family="Symbol" charset="2" size="9">w</f>
					</inlineAttr>
					<f family="Arial" charset="0" size="9">
						<inlineAttr underline="false" line-through="false">
							<sub>inv</sub>
						</inlineAttr>
					</f>
					<f size="9">
						<inlineAttr underline="false" line-through="false">) </inlineAttr>
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			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f family="Arial" charset="0">
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							<inlineAttr line-through="false">Guess for winv, wx:</inlineAttr>
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			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">wx</ml:id> <ml:apply>
						<ml:id xml:space="preserve">if</ml:id> <ml:sequence>
							<ml:apply>
								<ml:lessThan/> <ml:id xml:space="preserve" subscript="bat">Pmax</ml:id> <ml:apply>
									<ml:mult/> <ml:real>1</ml:real> <ml:id xml:space="preserve">kW</ml:id> </ml:apply> </ml:apply> <ml:real>8</ml:real> <ml:real>800</ml:real> </ml:sequence> </ml:apply> </ml:define> </math>
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Solution (rpm): </p>
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			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="inv">ω</ml:id> <ml:apply>
						<ml:id xml:space="preserve">root</ml:id> <ml:sequence>
							<ml:apply>
								<ml:minus/> <ml:id xml:space="preserve" subscript="m2">Tmax</ml:id> <ml:apply>
									<ml:div/> <ml:apply>
										<ml:id xml:space="preserve" subscript="m2">Pinv</ml:id> <ml:id xml:space="preserve">wx</ml:id> </ml:apply> <ml:apply>
										<ml:mult/> <ml:parens>
											<ml:apply>
												<ml:plus/> <ml:apply>
													<ml:mult style="auto-select"/> <ml:apply>
														<ml:mult/> <ml:real font="0">2</ml:real> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:id xml:space="preserve">wx</ml:id> </ml:apply> <ml:real>1</ml:real> </ml:apply> </ml:parens> <ml:id xml:space="preserve">RPM</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:id xml:space="preserve">wx</ml:id> </ml:sequence> </ml:apply> </ml:define> </math>
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			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="inv">ω</ml:id> <result xmlns="http://schemas.mathsoft.com/math30">
						<ml:real>2143.8960699515956</ml:real> </result> </ml:eval> </math>
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Torque, MG2:</p>
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			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:function>
						<ml:id xml:space="preserve" subscript="m2">T</ml:id> <ml:boundVars>
							<ml:id xml:space="preserve" subscript="mg2">ω</ml:id> </ml:boundVars> </ml:function> <ml:apply>
						<ml:id xml:space="preserve">if</ml:id> <ml:sequence>
							<ml:apply>
								<ml:lessOrEqual/> <ml:id xml:space="preserve" subscript="mg2">ω</ml:id> <ml:id xml:space="preserve" subscript="inv">ω</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="m2">Tmax</ml:id> <ml:apply>
								<ml:div/> <ml:apply>
									<ml:id xml:space="preserve" subscript="m2">Pinv</ml:id> <ml:id xml:space="preserve" subscript="mg2">ω</ml:id> </ml:apply> <ml:apply>
									<ml:mult/> <ml:apply>
										<ml:mult style="auto-select"/> <ml:apply>
											<ml:mult/> <ml:real font="0">2</ml:real> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="mg2">ω</ml:id> </ml:apply> <ml:id xml:space="preserve">RPM</ml:id> </ml:apply> </ml:apply> </ml:sequence> </ml:apply> </ml:define> </math>
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					<ml:apply>
						<ml:mult/> <ml:apply>
							<ml:mult style="auto-select"/> <ml:apply>
								<ml:mult/> <ml:apply>
									<ml:mult/> <ml:apply>
										<ml:id xml:space="preserve" subscript="m2">T</ml:id> <ml:id xml:space="preserve" subscript="inv">ω</ml:id> </ml:apply> <ml:real font="0">2</ml:real> </ml:apply> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="inv">ω</ml:id> </ml:apply> <ml:id xml:space="preserve">RPM</ml:id> </ml:apply> <ml:unitOverride>
						<ml:id xml:space="preserve">kW</ml:id>
					</ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>57.586371626240677</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="kilowatt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math>
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							<ml:mult/> <ml:apply>
								<ml:mult/> <ml:apply>
									<ml:id xml:space="preserve" subscript="m1">T</ml:id> <ml:real>6000</ml:real> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="m1">Ωmax</ml:id> </ml:apply> <ml:unitOverride>
						<ml:id xml:space="preserve">kW</ml:id>
					</ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>-38.45698580334529</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="kilowatt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math>
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			<math error="This variable is undefined." optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:apply>
						<ml:mult/> <ml:apply>
							<ml:mult/> <ml:apply>
								<ml:mult/> <ml:apply>
									<ml:mult/> <ml:apply>
										<ml:id xml:space="preserve" subscript="ice">T</ml:id> <ml:apply>
											<ml:id xml:space="preserve" subscript="ice">Ω</ml:id> <ml:real>6000</ml:real> </ml:apply> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:apply>
								<ml:id xml:space="preserve" subscript="ice">Ω</ml:id> <ml:real>6000</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">RPM</ml:id> </ml:apply> <ml:unitOverride>
						<ml:id xml:space="preserve">kW</ml:id>
					</ml:unitOverride> </ml:eval> </math>
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Tractive Torq, Total:</p>
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				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:function>
						<ml:id xml:space="preserve" subscript="tot">T</ml:id> <ml:boundVars>
							<ml:id xml:space="preserve" subscript="mg2">ω</ml:id> </ml:boundVars> </ml:function> <ml:apply>
						<ml:plus/> <ml:apply>
							<ml:id xml:space="preserve" subscript="m2">T</ml:id> <ml:id xml:space="preserve" subscript="mg2">ω</ml:id> </ml:apply> <ml:apply>
							<ml:mult/> <ml:apply>
								<ml:mult/> <ml:apply>
									<ml:id xml:space="preserve" subscript="icem2">T</ml:id> <ml:id xml:space="preserve" subscript="mg2">ω</ml:id> </ml:apply> <ml:apply>
									<ml:div/> <ml:real>2.6</ml:real> <ml:real>3.6</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="eng_axle">η</ml:id> </ml:apply> </ml:apply> </ml:define> </math>
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					<ml:function>
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							<ml:id xml:space="preserve">ω</ml:id> </ml:boundVars> </ml:function> <ml:apply>
						<ml:mult/> <ml:apply>
							<ml:mult/> <ml:apply>
								<ml:mult/> <ml:apply>
									<ml:mult/> <ml:apply>
										<ml:id xml:space="preserve" subscript="m2">T</ml:id> <ml:id xml:space="preserve">ω</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:id xml:space="preserve">ω</ml:id> </ml:apply> <ml:id xml:space="preserve">RPM</ml:id> </ml:apply> </ml:define> </math>
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						<b>
							<u>
								<inlineAttr line-through="false">Verify max power and torques</inlineAttr>
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				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:apply>
						<ml:id xml:space="preserve" subscript="m2">T</ml:id> <ml:real>1000</ml:real> </ml:apply> <ml:unitOverride>
						<ml:apply>
							<ml:mult/>
							<ml:id xml:space="preserve">N</ml:id>
							<ml:id xml:space="preserve">m</ml:id>
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						<unitedValue>
							<ml:real>256.5</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10">
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Tractive Road Force, Total:</p>
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Tractive Road Force, Total:</p>
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								<ml:mult/> <ml:apply>
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								<inlineAttr line-through="false">Applying maximum motor torque, find the velocity and time starting from initial velocity = 0 mph.</inlineAttr>
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit">(dv/dt is acceleration)</p>
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									<inlineAttr line-through="false">R A V 4<sp count="4"/>G E N<sp count="2"/>I V<sp count="3"/>P E F O R M A N C E<sp count="3"/>S I M U L A T I O N<sp count="4"/>C U R V E S</inlineAttr>
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				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="center" list-style-type="none" tabs="inherit">Peak Power </p>
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Note that Power below the blue dotted Pm2 line less than ice @5000 rpm must be supplied to the motor M2 by the battery.</p>
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						<ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve">kW</ml:id> </ml:apply> </ml:define> </math>
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					<f size="10">
						<b>
							<u>Dyno T @Wheels</u>
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						<inlineAttr line-through="false">&lt;===These are an </inlineAttr>
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						<inlineAttr line-through="false">arbirary set of ICE and MG1 initial conditions<sp count="2"/>just to start the MG1 generator turning. </inlineAttr>
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								<u>
									<inlineAttr line-through="false">Find the Single Charge (@SOC = 50%) Cruise Range for a given Velocity </inlineAttr>
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								<inlineAttr line-through="false">Driving Pattern/Profile:</inlineAttr>
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					<sp/>
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				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">Given we <f family="Arial" charset="0">
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							<inlineAttr line-through="false">cruise at constant speed</inlineAttr>
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					</f> and Time for start, stop, and regen breaking, <f family="Arial" charset="0">
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							<b>Time</b>
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							<f family="Arial" charset="0">
								<b>ssr</b>
							</f>
						</sub>
					</inlineAttr>= <f family="Arial" charset="0">
						<b>
							<inlineAttr line-through="false">every 15 minutes</inlineAttr>
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					</f>. </p>
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							<u>
								<inlineAttr line-through="false">Drive Train Power Efficiency - Battery Loss to Force Commanded Vehicle Velocity:</inlineAttr>
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						</b>
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						<inlineAttr line-through="false">State of Charge for generator is SOC</inlineAttr>
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							<sub>gen</sub>
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					<f family="Arial" charset="0" size="9">
						<inlineAttr line-through="false">. </inlineAttr>
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						<b>
							<inlineAttr line-through="false">SOC</inlineAttr>
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						<b>
							<inlineAttr line-through="false">
								<sub>gen</sub>
							</inlineAttr>
						</b>
					</f>
					<f family="Arial" charset="0" size="9">
						<b>
							<inlineAttr line-through="false"> is 70% for recharge.</inlineAttr>
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					</f>
					<f family="Arial" charset="0" size="9">
						<inlineAttr line-through="false"> 201V HV battery </inlineAttr>
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					<f family="Arial" charset="0" size="9">
						<b>
							<inlineAttr line-through="false">idle power is Po</inlineAttr>
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					</f>
					<f family="Arial" charset="0" size="9">
						<inlineAttr line-through="false">.</inlineAttr>
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					<f family="Arial" charset="0" size="9">
						<b>
							<inlineAttr line-through="false">
								<sp/>
							</inlineAttr>
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					<f family="Arial" charset="0" size="9">
						<inlineAttr line-through="false">12V battery gives Accessory Power. The Traction Inverter x motor Efficiency - TInvE, HV Power Electronics at Idle Efficiency - IPEE, and Gear Power Efficiency - GPE are 90%, 95%, and 97%, respectively.<sp count="2"/>Brake Regen efficiency of kinetic energy is 60% @ deacceleration = 0.315g.<sp count="2"/>Then the number of starts per hour as a function of velocity, NS, NumStarts(v, Po),<sp count="2"/>is3</inlineAttr>
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			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:function>
						<ml:id xml:space="preserve" subscript="o">NS</ml:id> <ml:boundVars>
							<ml:id xml:space="preserve">v</ml:id> </ml:boundVars> </ml:function> <ml:real>1</ml:real> </ml:define> </math>
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				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">TInvE</ml:id> <ml:real>0.90</ml:real> </ml:define> </math>
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			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">IPEE</ml:id> <ml:real>0.95</ml:real> </ml:define> </math>
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				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">GPE</ml:id> <ml:real>0.97</ml:real> </ml:define> </math>
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			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Regen</ml:id> <ml:real>0.6</ml:real> </ml:define> </math>
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			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="gen">SOC</ml:id> <ml:real>0.7</ml:real> </ml:define> </math>
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						<u>
							<inlineAttr line-through="false">USABC Round Trip Battery Energy Efficiency</inlineAttr>
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				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:function>
						<ml:id xml:space="preserve" subscript="dissLoss">Power</ml:id> <ml:boundVars>
							<ml:id xml:space="preserve">v</ml:id> <ml:id xml:space="preserve" subscript="o">P</ml:id> </ml:boundVars> </ml:function> <ml:apply>
						<ml:plus/> <ml:apply>
							<ml:div/> <ml:apply>
								<ml:mult/> <ml:apply>
									<ml:id xml:space="preserve">Fo</ml:id> <ml:id xml:space="preserve">v</ml:id> </ml:apply> <ml:id xml:space="preserve">v</ml:id> </ml:apply> <ml:apply>
								<ml:mult/> <ml:id xml:space="preserve">TInvE</ml:id> <ml:id xml:space="preserve">GPE</ml:id> </ml:apply> </ml:apply> <ml:apply>
							<ml:div/> <ml:apply>
								<ml:mult/> <ml:id xml:space="preserve" subscript="o">P</ml:id> <ml:id xml:space="preserve">watt</ml:id> </ml:apply> <ml:id xml:space="preserve">IPEE</ml:id> </ml:apply> </ml:apply> </ml:define> </math>
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			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">RTEff</ml:id> <ml:real>0.92</ml:real> </ml:define> </math>
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				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:function>
						<ml:id xml:space="preserve" subscript="accel">Energy</ml:id> <ml:boundVars>
							<ml:id xml:space="preserve">v</ml:id> </ml:boundVars> </ml:function> <ml:apply>
						<ml:mult/> <ml:id xml:space="preserve" subscript="m2">Pmax</ml:id> <ml:apply>
							<ml:id xml:space="preserve">time</ml:id> <ml:id xml:space="preserve">v</ml:id> </ml:apply> </ml:apply> </ml:define> </math>
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						<u>
							<inlineAttr line-through="false">NSo, NS are iterative converging </inlineAttr>
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								<ml:minus/> <ml:apply>
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											<ml:minus/> <ml:real>1</ml:real> <ml:id xml:space="preserve" subscript="f">SOC</ml:id> </ml:apply> </ml:parens> </ml:apply> <ml:apply>
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										<ml:id xml:space="preserve" subscript="o">NS</ml:id> <ml:id xml:space="preserve">v</ml:id> </ml:apply> <ml:parens>
										<ml:parens>
											<ml:apply>
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														<ml:mult/> <ml:id xml:space="preserve" subscript="gross">M</ml:id> <ml:apply>
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														<ml:minus/> <ml:real>1</ml:real> <ml:id xml:space="preserve">Regen</ml:id> </ml:apply> </ml:parens> </ml:apply> </ml:parens> </ml:parens> </ml:apply> </ml:apply> <ml:apply>
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									<ml:mult/> <ml:apply>
										<ml:id xml:space="preserve" subscript="dissLoss">Power</ml:id> <ml:sequence>
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													<ml:minus/> <ml:real>1</ml:real> <ml:id xml:space="preserve">Regen</ml:id> </ml:apply> </ml:parens> </ml:apply> </ml:parens> </ml:apply> </ml:apply> <ml:apply>
								<ml:mult/> <ml:apply>
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														<ml:minus/> <ml:real>1</ml:real> <ml:id xml:space="preserve">Regen</ml:id> </ml:apply> </ml:parens> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:parens> <ml:id xml:space="preserve">v</ml:id> </ml:apply> <ml:apply>
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								<ml:id xml:space="preserve">v</ml:id> <ml:id xml:space="preserve" subscript="o">P</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:define> </math>
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								<inlineAttr line-through="false">Highway Cruise Range with </inlineAttr>
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							<u>Four Stops per Hour</u>
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								<inlineAttr line-through="false"> Estimate</inlineAttr>
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							<ml:apply>
								<ml:mult/> <ml:real>30</ml:real> <ml:id xml:space="preserve">mph</ml:id> </ml:apply> <ml:real>200</ml:real> <ml:id xml:space="preserve" subscript="gen">SOC</ml:id> </ml:sequence> </ml:apply> <ml:unitOverride>
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							<ml:apply>
								<ml:mult/> <ml:real>40</ml:real> <ml:id xml:space="preserve">mph</ml:id> </ml:apply> <ml:real>200</ml:real> <ml:id xml:space="preserve" subscript="gen">SOC</ml:id> </ml:sequence> </ml:apply> <ml:unitOverride>
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							<ml:apply>
								<ml:mult/> <ml:real>50</ml:real> <ml:id xml:space="preserve">mph</ml:id> </ml:apply> <ml:real>200</ml:real> <ml:id xml:space="preserve" subscript="gen">SOC</ml:id> </ml:sequence> </ml:apply> <ml:unitOverride>
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					</ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>2.1875701641582541</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="mile"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math>
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							<ml:apply>
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							<ml:apply>
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							<ml:real>0</ml:real> <ml:real>2</ml:real> </ml:sequence> <ml:real>80</ml:real> </ml:range> </ml:define> </math>
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						<b>
							<u>
								<inlineAttr line-through="false">Cruise Range as a Function of Traction Battery Idle Power, Po</inlineAttr>
							</u>
						</b>
					</f>
				</p>
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			<math optimize="false" disable-calc="false">
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					<ml:apply>
						<ml:id xml:space="preserve">Cruise_Range</ml:id> <ml:sequence>
							<ml:apply>
								<ml:mult/> <ml:real>15</ml:real> <ml:id xml:space="preserve">mph</ml:id> </ml:apply> <ml:real>50</ml:real> <ml:real>0.3</ml:real> </ml:sequence> </ml:apply> <ml:unitOverride>
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							<ml:real>11.10078406254838</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="mile"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math>
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					<ml:apply>
						<ml:id xml:space="preserve">Cruise_Range</ml:id> <ml:sequence>
							<ml:apply>
								<ml:mult/> <ml:real>55</ml:real> <ml:id xml:space="preserve">mph</ml:id> </ml:apply> <ml:real>50</ml:real> <ml:real>0.5</ml:real> </ml:sequence> </ml:apply> <ml:unitOverride>
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							<ml:real>3.2837303669610867</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="mile"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math>
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					<ml:apply>
						<ml:mult/> <ml:real>180</ml:real> <ml:apply>
							<ml:div/> <ml:id xml:space="preserve">km</ml:id> <ml:id xml:space="preserve">hr</ml:id> </ml:apply> </ml:apply> <ml:unitOverride>
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							<ml:div/>
							<ml:id xml:space="preserve">mi</ml:id>
							<ml:id xml:space="preserve">hr</ml:id>
						</ml:apply>
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						<unitedValue>
							<ml:real>111.84681460272009</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="hour" power-numerator="-1"/> <unitReference unit="mile"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math>
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			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:apply>
						<ml:div/> <ml:apply>
							<ml:minus/> <ml:real>0.5</ml:real> <ml:real>0.25</ml:real> </ml:apply> <ml:real>0.5</ml:real> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30">
						<ml:real>0.5</ml:real> </result> </ml:eval> </math>
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							<ml:minus/> <ml:apply>
								<ml:id xml:space="preserve">Cruise_Range</ml:id> <ml:sequence>
									<ml:apply>
										<ml:mult/> <ml:real>55</ml:real> <ml:id xml:space="preserve">mph</ml:id> </ml:apply> <ml:real>100</ml:real> <ml:real>0.25</ml:real> </ml:sequence> </ml:apply> <ml:apply>
								<ml:id xml:space="preserve">Cruise_Range</ml:id> <ml:sequence>
									<ml:apply>
										<ml:mult/> <ml:real>55</ml:real> <ml:id xml:space="preserve">mph</ml:id> </ml:apply> <ml:real>100</ml:real> <ml:real>0.5</ml:real> </ml:sequence> </ml:apply> </ml:apply> <ml:apply>
							<ml:id xml:space="preserve">Cruise_Range</ml:id> <ml:sequence>
								<ml:apply>
									<ml:mult/> <ml:real>55</ml:real> <ml:id xml:space="preserve">mph</ml:id> </ml:apply> <ml:real>100</ml:real> <ml:real>0.5</ml:real> </ml:sequence> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30">
						<ml:real>0.5</ml:real> </result> </ml:eval> </math>
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							<u>
								<inlineAttr line-through="false">Find the Power to Maintain Constant Velocity </inlineAttr>
							</u>
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				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:function>
						<ml:id xml:space="preserve" subscript="cruise">Power</ml:id> <ml:boundVars>
							<ml:id xml:space="preserve">v</ml:id> <ml:id xml:space="preserve" subscript="o">P</ml:id> </ml:boundVars> </ml:function> <ml:apply>
						<ml:id xml:space="preserve" subscript="dissLoss">Power</ml:id> <ml:sequence>
							<ml:id xml:space="preserve">v</ml:id> <ml:id xml:space="preserve" subscript="o">P</ml:id> </ml:sequence> </ml:apply> </ml:define> </math>
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				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">Note: The generator's output is 54 kW. This allows it produce a net charge up to 80 mph cruise. </p>
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					<ml:id xml:space="preserve">n</ml:id> <ml:range>
						<ml:real>0</ml:real> <ml:real>200</ml:real> </ml:range> </ml:define> </math>
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					<ml:apply>
						<ml:indexer/> <ml:id xml:space="preserve">τ</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> <ml:apply>
						<ml:div/> <ml:id xml:space="preserve">n</ml:id> <ml:real>10</ml:real> </ml:apply> </ml:define> </math>
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					<ml:apply>
						<ml:indexer/> <ml:id xml:space="preserve">w</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> <ml:apply>
						<ml:div/> <ml:id xml:space="preserve">n</ml:id> <ml:real>20</ml:real> </ml:apply> </ml:define> </math>
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					<ml:apply>
						<ml:indexer/> <ml:id xml:space="preserve">vv</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> <ml:apply>
						<ml:div/> <ml:id xml:space="preserve">n</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:define> </math>
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				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:apply>
						<ml:indexer/> <ml:id xml:space="preserve" subscript="cruise">P</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> <ml:apply>
						<ml:div/> <ml:apply>
							<ml:id xml:space="preserve" subscript="cruise">Power</ml:id> <ml:sequence>
								<ml:apply>
									<ml:mult/> <ml:apply>
										<ml:indexer/> <ml:id xml:space="preserve">vv</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> <ml:id xml:space="preserve">mph</ml:id> </ml:apply> <ml:real>100</ml:real> </ml:sequence> </ml:apply> <ml:apply>
							<ml:mult/> <ml:id xml:space="preserve">k</ml:id> <ml:id xml:space="preserve">watt</ml:id> </ml:apply> </ml:apply> </ml:define> </math>
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				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">FTPF</ml:id> <ml:apply>
						<ml:id xml:space="preserve">READPRN</ml:id> <ml:str xml:space="preserve">http://www.leapcad.com/Transportation/FedTestProc.TXT</ml:str> </ml:apply> </ml:define> </math>
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				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">UDDSF</ml:id> <ml:apply>
						<ml:id xml:space="preserve">READPRN</ml:id> <ml:str xml:space="preserve">http://www.leapcad.com/Transportation/uddscol.txt</ml:str> </ml:apply> </ml:define> </math>
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					<ml:id xml:space="preserve">HWYF</ml:id> <ml:apply>
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					<ml:id xml:space="preserve">FP10</ml:id> <ml:apply>
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					<ml:id xml:space="preserve">HY10</ml:id> <ml:apply>
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			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">US06F</ml:id> <ml:apply>
						<ml:id xml:space="preserve">READPRN</ml:id> <ml:str xml:space="preserve">http://www.leapcad.com/Transportation/US06PROFILE.TXT</ml:str> </ml:apply> </ml:define> </math>
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f family="Arial" charset="0" size="18">
						<b>
							<u>
								<inlineAttr line-through="false">AER Given Three Different Driving Schedules</inlineAttr>
							</u>
						</b>
					</f>
				</p>
			</text>
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			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f family="Arial" charset="0">
						<b>
							<inlineAttr line-through="false">Read US06 and FTP </inlineAttr>
						</b>
					</f>
					<b>Driving Profile </b>
					<f family="Arial" charset="0">
						<b>
							<inlineAttr line-through="false">Files</inlineAttr>
						</b>
					</f>
				</p>
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">http://www.epa.gov/nvfel/testing/dynamometer.htm</p>
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">The US06 cycle represents an 8.01 mile (12.8 km) route with an average speed of 48.4 miles/h (77.9 km/h), maximum speed 80.3 miles/h (129.2 km/h), and a duration of 596 seconds.</p>
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">The Federal Test Procedure(FTP) is composed of the UDDS followed by the first 505 seconds of the UDDS. It is often called the EPA75.<sp count="2"/>FP10 is a 10 Hz Sampling. HY10 is the 10 Hz Highway schedule. </p>
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				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">tx</ml:id> <ml:apply>
						<ml:matcol/> <ml:id xml:space="preserve">FTPF</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:define> </math>
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								<inlineAttr line-through="false">All Electric Range, AER, for Driving Profile Velocity/Time File, P Sampling Rate, Hz, and SOC = 0</inlineAttr>
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								<inlineAttr line-through="false">Regen Efficiency Curve vs Decel (g)</inlineAttr>
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								<inlineAttr line-through="false">EPA 20085 Cycle MPG Fuel Economy Least Squares Fit Regression for AER to SOC = 0</inlineAttr>
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							<ml:mult/> <ml:real>0.45</ml:real> <ml:id xml:space="preserve" subscript="hwy">MPG</ml:id> </ml:apply> </ml:apply> </ml:define> </math>
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								<inlineAttr line-through="false">SAVE PROFILES</inlineAttr>
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