ai the first 3 are a part Power [kW]100908070605040302010(ii) Figure A2-3 shows the torque and power of the employed EMRAX 208Permanent magnet synchronous motor (PMSM). The team have a variablegear box with a variable value for G between 1:1 to 1:6. They have three setsof tyres as d; = 40 cm, d₂ = 50 cm, and d3 = 60 cm.Design the drive train system by choosing a combination of d and the G sothe following requirements are satisfied:(1) The motor torque does not exceed the peak value during accelerationand;(2) The motor speed does not exceed 6000 rpm which is recommended bythe motor controller's company.Peak torqueContinuous torque10002000EMRAX 208HV LCPeak powerContinuous power3000500060001801601401201008060402007000Torque [N.m]4000Motor Speed [rpm]Figure A2-3 Torque/speed curve for the motor in question A2-a(iii) The old design of the car had G = 4.75 and d = 50 cm. It was noticedduring testing the car that the driver spends the majority of the race at aspeed in the range of 30 km/h to 50 km/h. Explain the effect of increasing Gto 6 on:(1) The rotational speed of the motor during the majority of the race andhence the available driving power.(2) The frequency of the motor's voltage at the top speed of the car if theEMRAX 208 motor has 20 poles (10 pole pairs). Many industrial applications are powered by electrical drive systems. They consist ofelectric motors, power converters, and digital controllers.(a) Fig. A2-1 shows an Electric Vehicle (EV) with a single motor designed by the racingteam at Lancaster University. The first requirement for the car is to follow thevelocity profile shown Figure A2-2. The weight of the car with the driver is 400 kg.Calculate/design the following:(1) Calculate the following:1) Acceleration a in m/s² during the accelerating time to.2) The required linear acceleration force during to (neglect the rollingresistance, rotational acceleration, and drag forces).3) The maximum energy available to be sent back to the battery byregenerative braking.‒‒‒‒‒420V108HHK THE| Speed (km/h)IbatfuseMotorControllerDCAC10PMSMMotor---HV BatteryFigure A2-1: an EV with a single motor in question A2-aOwTime (sec)@wGearbox44-3Figure A2-2: velocity profile of the EV in question A2-a

Given: To find: Acceleration during time t0 Force during t0 Maximum energy

Answered: Many industrial applications are…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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ai the first 3 are a part

Power [kW]
100
90
80
70
60
50
40
30
20
10
(ii) Figure A2-3 shows the torque and power of the employed EMRAX 208
Permanent magnet synchronous motor (PMSM). The team have a variable
gear box with a variable value for G between 1:1 to 1:6. They have three sets
of tyres as d; = 40 cm, d₂ = 50 cm, and d3 = 60 cm.
Design the drive train system by choosing a combination of d and the G so
the following requirements are satisfied:
(1) The motor torque does not exceed the peak value during acceleration
and;
(2) The motor speed does not exceed 6000 rpm which is recommended by
the motor controller's company.
Peak torque
Continuous torque
1000
2000
EMRAX 208HV LC
Peak power
Continuous power
3000
5000
6000
180
160
140
120
100
80
60
40
20
0
7000
Torque [N.m]
4000
Motor Speed [rpm]
Figure A2-3 Torque/speed curve for the motor in question A2-a
(iii) The old design of the car had G = 4.75 and d = 50 cm. It was noticed
during testing the car that the driver spends the majority of the race at a
speed in the range of 30 km/h to 50 km/h. Explain the effect of increasing G
to 6 on:
(1) The rotational speed of the motor during the majority of the race and
hence the available driving power.
(2) The frequency of the motor's voltage at the top speed of the car if the
EMRAX 208 motor has 20 poles (10 pole pairs).

Transcribed Image Text:Many industrial applications are powered by electrical drive systems. They consist of electric motors, power converters, and digital controllers. (a) Fig. A2-1 shows an Electric Vehicle (EV) with a single motor designed by the racing team at Lancaster University. The first requirement for the car is to follow the velocity profile shown Figure A2-2. The weight of the car with the driver is 400 kg. Calculate/design the following: (1) Calculate the following: 1) Acceleration a in m/s² during the accelerating time to. 2) The required linear acceleration force during to (neglect the rolling resistance, rotational acceleration, and drag forces). 3) The maximum energy available to be sent back to the battery by regenerative braking. ‒‒‒‒‒ 420V 108 HHK THE | Speed (km/h) Ibat fuse Motor Controller DC AC 10 PMSM Motor --- HV Battery Figure A2-1: an EV with a single motor in question A2-a Ow Time (sec) @w Gear box 4 4-3 Figure A2-2: velocity profile of the EV in question A2-a

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