Consider an e-bike is designed according to EN 15194 standard (pedal assisted and all electric driving modes with the maximum 250W rated output power and electric motor assist is cut-off at 25km/h). Assume the mass of the bicycle is 24 kg (including electric motor and battery) and the mass of rider is 75 kg. The rolling resistance coefficient of bike tyres is 0.007. The bike is using a direct drive brushless DC motor (hub motor) mounted in 29 inch-rear wheel (see below figure). a. Assuming the maximum output power is confined at 250W by the motor driver, find the maximum road grade angle that the bike can climb at 10 km/h. b. Assuming the battery voltage is 48V, calculate the energy capacity of the battery for two-hour all-electric driving on flat road with 250W motor power (assume the motor-driver overall efficiency is 90%)

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter11: Transient Stability
Section: Chapter Questions
Problem 11.18P
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Consider an e-bike is designed according to EN 15194 standard (pedal assisted and all
electric driving modes with the maximum 250W rated output power and electric motor
assist is cut-off at 25km/h). Assume the mass of the bicycle is 24 kg (including electric
motor and battery) and the mass of rider is 75 kg. The rolling resistance coefficient of
bike tyres is 0.007. The bike is using a direct drive brushless DC motor (hub motor)
mounted in 29 inch-rear wheel (see below figure).
a. Assuming the maximum output power is confined at 250W by the motor driver,
find the maximum road grade angle that the bike can climb at 10 km/h.
b. Assuming the battery voltage is 48V, calculate the energy capacity of the battery
for two-hour all-electric driving on flat road with 250W motor power (assume
the motor-driver overall efficiency is 90%)
Transcribed Image Text:Consider an e-bike is designed according to EN 15194 standard (pedal assisted and all electric driving modes with the maximum 250W rated output power and electric motor assist is cut-off at 25km/h). Assume the mass of the bicycle is 24 kg (including electric motor and battery) and the mass of rider is 75 kg. The rolling resistance coefficient of bike tyres is 0.007. The bike is using a direct drive brushless DC motor (hub motor) mounted in 29 inch-rear wheel (see below figure). a. Assuming the maximum output power is confined at 250W by the motor driver, find the maximum road grade angle that the bike can climb at 10 km/h. b. Assuming the battery voltage is 48V, calculate the energy capacity of the battery for two-hour all-electric driving on flat road with 250W motor power (assume the motor-driver overall efficiency is 90%)
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