Minimization of Torque Ripple in the Brushless DC Motor Using Constrained Cuckoo Search Algorithm

Łukasz Knypiński,Sebastian Kuroczycki,Fausto Pedro García Márquez

doi:10.3390/electronics10182299

Łukasz Knypiński, Sebastian Kuroczycki + Show 1 more

Open Access

https://doi.org/10.3390/electronics10182299

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Abstract

This paper presents the application of the cuckoo search (CS) algorithm in attempts to the minimization of the commutation torque ripple in the brushless DC motor (BLDC). The optimization algorithm was created based on the cuckoo’s reproductive behavior. The lumped-parameters mathematical model of the BLDC motor was developed. The values of self-inductances, mutual inductances, and back-electromotive force waveforms applied in the mathematical model were calculated by the use of the finite element method. The optimization algorithm was developed in Python 3.8. The CS algorithm was coupled with the static penalty function. During the optimization process, the shape of the voltage supplying the stator windings was determined to minimize the commutation torque ripple. Selected results of computer simulation are presented and discussed.

Highlights

Computational simulations are commonly used when designing the processes of technical devices
The constrained optimization calculations were performed using computer software developed in Python
The first part contains a mathematical model of the brushless DC motor (BLDC)

Summary

Introduction

Computational simulations are commonly used when designing the processes of technical devices. During the designing process of electromagnetic devices, complex field models of phenomena in the device can be applied [1,2,3] These field models include equations of: (a) the electromagnetic field; (b) the external supply circuit; (c) the mechanical equilibrium; and (d) the thermal processes in the designed devices. Such models of these phenomena are created using the finite element method (FEM). On the other hand, lumped-parameter models, or analytical models, are computationally less complex [6,7,8] Such types of models are commonly used to evaluate the correctness and efficiency of new algorithms [9]. They can be used in the initial stage of the development of electrical machines

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