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SAE TECHNICAL
PAPER SERIES 2004-01-2681
Design Optimization of Permanent Magnet
Motors for Direct-Drive, In-Wheel
Electric Propulsion Systems
Z. Rahman
Principal Engineer, Wave Crest Laboratories, LLC
SAE Commercial Vehicle Engineering
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Printed in USADownloaded from SAE International by Big Ten Academic Alliance, Wednesday, August 01, 20182004-01-2681
Design Optimization of Permanent Magnet Motors for
Direct-Drive, In-Wheel Electric Propulsion Systems
Z. Rahman
Principal Engineer, WaveCrest Laboratories, LLC
Copyright © 2004 SAE International
ABSTRACT
A complete analytical design and analysis procedure of
permanent magnet motors for ‘in-wheel’ traction
application system is dev eloped. Method to obtain
minimum power requirement and optimal torque-speed profile to meet acceleration performance is explained.
Analytical design procedure to optimize electric motor
parameters, such as, back emf and torque constants,
inductance and magnet thick ness is developed that are
based on the torque-speed requi rement of the system.
The optimization technique focuses on minimizing the power and volt-ampere rating of the entire electrical
system. The design process is validated through
experiment and field-testing. Although the paper is
focused on electric bicycle system, the approach is also applicable to electric and hy brid electric vehicles.
INTRODUCTION
Vehicle dynamics requires extended-speed, constant-
power operation from the propulsion system in order to
meet the vehicle’s operating constraints (e.g., initial
acceleration and grade-ability) with minimum power. Initial acceleration and grade condition can be met with
minimum power rating if the power train can be operated mostly in the constant pow er region. Generating the
optimal torque-speed profile for the vehicle’s propulsion system is extremely import ant, because it reduces the
cost by reducing the system power rating.
In an electric bicycle syst em the propulsion unit is the
electric motor. To calculate the total traction power of a
bicycle, the constraint commonly imposed on the
propulsion unit is the initial acceleration. The basic
objective is to meet the acceleration performance with
minimum power. Theoretically, minimum power is
achieved when stall torque is infinity. However, with power limited to 750W by US regulation [1], it is
observed that after a certain torque there is little
improvement in acceleration time with further torque increment. This implies that there exists one optimal
solution of torque-speed profile for an electric bicycle
that