2. A 1500 kg electric vehicle travels along an asphalt roadway with a 5° grade at 100 km/h anda rolling resistance coefficient of 0.013. The frontal area is 2.05 m² and a drag coefficient is0.32. The battery capacity is 85kWh and the battery nominal voltage is 320V. The air densityof 1.2 kg/m3.(a) What is the power required to propel this vehicle?(b) The gear ratio is 10.7, the tire radius is 0.23m. Assume 100% efficiency for the gear. (i)What is the torque seen by the ac propulsion motor (ii) What is the power and speed ofthe motor?(c) What is the range of the vehicle considering 80% Depth of Discharge on a flat road at aspeed of 50 km/h?3. In the system of problem 2, the propulsion motor used is a star connected interior permanentmagnet motor fed by a three phase IGBT inverter. The motor is operated in direct torquecontrolled mode. The inverter output voltage is 414V(L-L) and the modulation index is 0.9.The motor efficiency is 98% and power factor is 0.78. The dc link capacitor value is 5000uF.Assume space vector PWM strategy for the inverter. The efficiency of each power converterstage is 97%.(a) Draw a complete power converter circuit of the system (including devices) showing thevalues of voltage, current, and power at the battery output, inverter input, and inverteroutput. Consider the motor power obtained from problem 2(b).(b) Draw a vectored control system for controlling the torque of the motor(c) Express the motor currents in stationary reference frame.(d) Calculate the currents in synchronously rotating reference frame at angular differences of0, 60°, and 90⁰(e) For the 60° angle in 2 (d), convert the d,q currents directly to currents in a, b, c frame?

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A 1500 kg electric vehicle travels along an asphalt roadway with a 5° grade at 100 km/h and a rolling resistance coefficient of 0.013. The frontal area is 2.05 m² and a drag coefficient is 0.32. The battery capacity is 85kWh and the battery nominal voltage is 320V. The air density of 1.2 kg/m3. (a) What is the power required to propel this vehicle? (b) The gear ratio is 10.7, the tire radius is 0.23m. Assume 100% efficiency for the gear. (i) What is the torque seen by the ac propulsion motor (ii) What is the power and speed of the motor? (c) What is the range of the vehicle considering 80% Depth of Discharge on a flat road at a speed of 50 km/h?

A 1500 kg electric vehicle travels along an asphalt roadway with a 5° grade at 100 km/h and a rolling resistance coefficient of 0.013. The frontal area is 2.05 m² and a drag coefficient is 0.32. The battery capacity is 85kWh and the battery nominal voltage is 320V. The air density of 1.2 kg/m3. (a) What is the power required to propel this vehicle? (b) The gear ratio is 10.7, the tire radius is 0.23m. Assume 100% efficiency for the gear. (i) What is the torque seen by the ac propulsion motor (ii) What is the power and speed of the motor? (c) What is the range of the vehicle considering 80% Depth of Discharge on a flat road at a speed of 50 km/h?

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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Question

2. A 1500 kg electric vehicle travels along an asphalt roadway with a 5° grade at 100 km/h and
a rolling resistance coefficient of 0.013. The frontal area is 2.05 m² and a drag coefficient is
0.32. The battery capacity is 85kWh and the battery nominal voltage is 320V. The air density
of 1.2 kg/m3.
(a) What is the power required to propel this vehicle?
(b) The gear ratio is 10.7, the tire radius is 0.23m. Assume 100% efficiency for the gear. (i)
What is the torque seen by the ac propulsion motor (ii) What is the power and speed of
the motor?
(c) What is the range of the vehicle considering 80% Depth of Discharge on a flat road at a
speed of 50 km/h?
3. In the system of problem 2, the propulsion motor used is a star connected interior permanent
magnet motor fed by a three phase IGBT inverter. The motor is operated in direct torque
controlled mode. The inverter output voltage is 414V(L-L) and the modulation index is 0.9.
The motor efficiency is 98% and power factor is 0.78. The dc link capacitor value is 5000uF.
Assume space vector PWM strategy for the inverter. The efficiency of each power converter
stage is 97%.
(a) Draw a complete power converter circuit of the system (including devices) showing the
values of voltage, current, and power at the battery output, inverter input, and inverter
output. Consider the motor power obtained from problem 2(b).
(b) Draw a vectored control system for controlling the torque of the motor
(c) Express the motor currents in stationary reference frame.
(d) Calculate the currents in synchronously rotating reference frame at angular differences of
0, 60°, and 90⁰
(e) For the 60° angle in 2 (d), convert the d,q currents directly to currents in a, b, c frame?

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