Abstract

In this paper, internal division point genetic algorithm (IDP-GA) was proposed to lessen the computational burden of multi-variable multi-objective optimization problem using finite element analysis such as optimal design of electric bicycles. The IDP-GA could consider various objectives with normalized weighted sum method and could reduce the number of function calls with novel crossover strategy and vector-based pattern search method. The superiority of the proposed algorithm was verified by comparing performances with conventional optimization method at two mathematical test functions. Finally, the applicability of the IDP-GA in practical electric machine design was verified by successfully deriving an improved design of electric bicycle propulsion motor.

Highlights

  • Electric bicycles (EBs) are getting more attention in many countries for their convenience, long travelling distance, and environment friendly features [1,2,3]

  • This paper introduces the internal division point genetic algorithm (IDP-genetic algorithm (GA)) to relieve the huge computational burden of the MVMO optimization problem by applying finite element analysis (FEA)

  • The IDP-GA accelerated the convergence by applying novel crossover strategy at the early stage of the algorithm

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Summary

Introduction

Electric bicycles (EBs) are getting more attention in many countries for their convenience, long travelling distance, and environment friendly features [1,2,3]. When designing a motor for EBs, high torque density and improving the riding impression through the reduction of noise and vibration are required [3,5]. This paper proposes the novel optimization algorithm that can consider many variables and many objective functions simultaneously with a reduced number of function calls. For the motor design optimization problem, multi-modal optimization algorithm, such as niching GA (NGA), was proposed to find both global and local solutions [12]. A novel optimization algorithm that can consider multiple variables and multiple objectives is required. To verify the applicability of actual electric machines, proposed algorithm is applied to optimal design of PMa-SynRM for EBs and successfully derives design with superior performances

Proposed Algorithm
Weighted Sum Method
Novel Crossover Strategy- Internal Dividing Point Crossover
Vector Based PPaatttteerrnn SSeeaarrcchh MMeetthhoodd
Design Variable
Conclusions
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