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Topic: Kinematics of Electric Variable Transmission (EVT) An EVT consists of one planetary gear set with the following characteristics: Sun gear 40 teeth Planets: 20 teeth Ring gear: 80 teeth This one-mode EVT has mechanical connection as Toyota Gen-I (1997 ~ 2003) and Gen-II (2004 - 2009) Prius shown in below diagram. The engine is connected to the planet carrier. One electric machine (MG1- generator) is connected to the sun gear. The other electric machine (MG2 – traction motor) is connected to the ring gear. The ring gear is also connected to the output shaft of the EVT. The engine speed range is 0- 5000 rpm with an idle speed at 1000 rpm, while the speed range for the generator (MG1) and traction motor (MG2) are –6000 ~+6000 rpm. The EVT output shaft (from ring gear) is connected to the vehicle wheel axle thru a gear train with final gear ratio such that 1 mph corresponds to 100 rpm (ring gear speed). MG1 INVERTER BATTERY MG2 INVERTER INTERNAL COMBUSTION ENGINE POWER SPLIT DEVICE SILENT CHAIN MOTORI GENERATOR 1 (MG1) MOTORI GENERATOR 2 (MG2) REDUCTION GEARS AXLES FRONT WHEELS DIFFERENTIAL (1) Write down the input/output relationships for torque and speed of the 3 shafts (2) For electric machine speeds between –6000 and +6000 rpm, plot the output shaft speed as a function of engine speed (0 ~ 5000 rpm) (3) For electric machine speeds between–6000 and +6000 rpm, plot the vehicle speed as function of engine speed (0 ~ 5000 rpm)

Topic: Kinematics of Electric Variable Transmission (EVT) An EVT consists of one planetary gear set with the following characteristics: Sun gear 40 teeth Planets: 20 teeth Ring gear: 80 teeth This one-mode EVT has mechanical connection as Toyota Gen-I (1997 ~ 2003) and Gen-II (2004 - 2009) Prius shown in below diagram. The engine is connected to the planet carrier. One electric machine (MG1- generator) is connected to the sun gear. The other electric machine (MG2 – traction motor) is connected to the ring gear. The ring gear is also connected to the output shaft of the EVT. The engine speed range is 0- 5000 rpm with an idle speed at 1000 rpm, while the speed range for the generator (MG1) and traction motor (MG2) are –6000 ~+6000 rpm. The EVT output shaft (from ring gear) is connected to the vehicle wheel axle thru a gear train with final gear ratio such that 1 mph corresponds to 100 rpm (ring gear speed). MG1 INVERTER BATTERY MG2 INVERTER INTERNAL COMBUSTION ENGINE POWER SPLIT DEVICE SILENT CHAIN MOTORI GENERATOR 1 (MG1) MOTORI GENERATOR 2 (MG2) REDUCTION GEARS AXLES FRONT WHEELS DIFFERENTIAL (1) Write down the input/output relationships for torque and speed of the 3 shafts (2) For electric machine speeds between –6000 and +6000 rpm, plot the output shaft speed as a function of engine speed (0 ~ 5000 rpm) (3) For electric machine speeds between–6000 and +6000 rpm, plot the vehicle speed as function of engine speed (0 ~ 5000 rpm)

Elements Of Electromagnetics
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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Topic: Kinematics of Electric Variable Transmission (EVT) An EVT consists of one planetary gear set with the following characteristics: - Sun gear: 40 teeth - Planets: 20 teeth - Ring gear: 80 teeth This one-mode EVT has a mechanical connection similar to the Toyota Gen-I (1997 ~ 2003) and Gen-II (2004 ~ 2009) Prius, as shown in the diagram below. The engine is connected to the planet carrier. One electric machine (MG1 - generator) is connected to the sun gear. The other electric machine (MG2 - traction motor) is connected to the ring gear. The ring gear is also connected to the output shaft of the EVT. The engine speed range is 0 ~ 5000 rpm, with an idle speed at 1000 rpm, while the speed range for the generator (MG1) and traction motor (MG2) is –6000 ~ +6000 rpm. The EVT output shaft (from ring gear) is connected to the vehicle wheel axle through a gear train with a final gear ratio such that 1 mph corresponds to 100 rpm (ring gear speed). **Diagram Explanation:** The diagram includes: - Internal Combustion Engine connected to a Power Split Device. - MG1 Inverter connected to Motor/Generator 1 (MG1). - MG2 Inverter connected to Motor/Generator 2 (MG2). - Battery linked to both inverters. - Silent Chain and Reduction Gears facilitating power flow to the axles. - Front Wheels attached to the Differential. **Questions:** 1. Write down the input/output relationships for torque and speed of the 3 shafts. 2. For electric machine speeds between –6000 and +6000 rpm, plot the output shaft speed as a function of engine speed (0 ~ 5000 rpm). 3. For electric machine speeds between –6000 and +6000 rpm, plot the vehicle speed as a function of engine speed (0 ~ 5000 rpm). 4. What is the range of vehicle speeds kinematically possible to achieve? 5. What is the range of vehicle speeds kinematically possible to achieve in pure electric mode? 6. Explain how to use the device to start the engine (0 to idle speed) with the vehicle not moving. 7. Explain how to move the vehicle in reverse at variable speeds with the engine at idle. For all questions (4 through
Transcribed Image Text:Topic: Kinematics of Electric Variable Transmission (EVT) An EVT consists of one planetary gear set with the following characteristics: - Sun gear: 40 teeth - Planets: 20 teeth - Ring gear: 80 teeth This one-mode EVT has a mechanical connection similar to the Toyota Gen-I (1997 ~ 2003) and Gen-II (2004 ~ 2009) Prius, as shown in the diagram below. The engine is connected to the planet carrier. One electric machine (MG1 - generator) is connected to the sun gear. The other electric machine (MG2 - traction motor) is connected to the ring gear. The ring gear is also connected to the output shaft of the EVT. The engine speed range is 0 ~ 5000 rpm, with an idle speed at 1000 rpm, while the speed range for the generator (MG1) and traction motor (MG2) is –6000 ~ +6000 rpm. The EVT output shaft (from ring gear) is connected to the vehicle wheel axle through a gear train with a final gear ratio such that 1 mph corresponds to 100 rpm (ring gear speed). **Diagram Explanation:** The diagram includes: - Internal Combustion Engine connected to a Power Split Device. - MG1 Inverter connected to Motor/Generator 1 (MG1). - MG2 Inverter connected to Motor/Generator 2 (MG2). - Battery linked to both inverters. - Silent Chain and Reduction Gears facilitating power flow to the axles. - Front Wheels attached to the Differential. **Questions:** 1. Write down the input/output relationships for torque and speed of the 3 shafts. 2. For electric machine speeds between –6000 and +6000 rpm, plot the output shaft speed as a function of engine speed (0 ~ 5000 rpm). 3. For electric machine speeds between –6000 and +6000 rpm, plot the vehicle speed as a function of engine speed (0 ~ 5000 rpm). 4. What is the range of vehicle speeds kinematically possible to achieve? 5. What is the range of vehicle speeds kinematically possible to achieve in pure electric mode? 6. Explain how to use the device to start the engine (0 to idle speed) with the vehicle not moving. 7. Explain how to move the vehicle in reverse at variable speeds with the engine at idle. For all questions (4 through
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