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Interior Pm Motor
Torque Optimization of the Interior-Permanent Magnet Synchronous
Motors using Design Sensitivity Analysis
Mohammadreza Hassan Zadeh1, Arash Kiyoumarsi2
1

Electrical Engineering Department,
Abhar Islamic Azad University, Abhar, 22, Iran, phone: +98 281 3349816, e-mail: mrh_zadeh@qazviniau.ac.ir,
2

Electrical Engineering Department, Isfahan University
Isfahan, Iran,

Abstract.

This paper presents a shape optimal design approach to reduce the torque ripple of the interior-permanent magnet synchronous motors. The shape design sensitivity formula and the finite element method were employed for shape optimization of the machine. The numerical results show that the optimized motor has lower torque ripple and more average torque. Key words
Design sensitivity analysis, shape optimization, 2D finite element method, torque ripple.

1. Introduction
Until recently, design sensitivity analysis for shape optimization was widely used [1]-[3]. In conjunction with the two-dimensional finite element method, the sensitivity analysis reported in [1] has been successfully applied to some optimization problems in magnetostatic systems. The shape optimization of the permanent magnet synchronous (PMS) motors was the subject of many papers. It is indicated the back-EMF waveform has an important role to produce the smooth torque. Lee and
Park employed the shape design sensitivity formula and the finite element method for calculating the sensitivity of flux-linkage to the design variables determining the shape of iron pole piece [2].
Shape design sensitivity analysis in electromagnetic systems can be developed using two fundamentally different approaches. The one is the discrete approach, where design derivatives of a discretized system equation are taken to obtain sensitivity information. The other called the continuum approach, where design derivatives of the variational governing equation of the electromagnetic system are taken to obtain



References: Magnetics, vol. 36, no. 4, pp. 1119-1123, July 2000. [4] I. Boldea, Synchronous Reluctance Motor Drives, CRC Press, Chapter 12, 2002.

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