Abstract

In this paper, we present an extension for an analytical method of calculating the required amplitudes and phase angles of the injected harmonic currents, to generate a determined torque ripple for synchronous machines. With the consideration of reluctance torque in the system equations, this method is valid not only for synchronous machines with surface magnets, but also for those with interior magnets. First, we describe the machine equations as a function of the phase current and the back electromotive force. We then introduce an analytical way to calculate the reluctance torque. After combining the equations, we establish a linear system of equations. The solution of the equation system yields the amplitudes and phase angles of the harmonic currents to be injected. Finally, we validate the equations for calculating the reluctance Torque and the method to generate the determined torque ripple with several finite element method simulations. This allowed us to generate the desired torque fluctuations even for synchronous machines with interior magnets.

Highlights

  • Thanks to their high power density and low maintenance requirements, permanent magnet synchronous machines (PMSMs) match the requirements for electric traction machines (ETM) in hybrid electric vehicles (HEV) and full electric vehicles (EV) very well [1,2,3]

  • It is possible to measure these voltages between the neutral point and the corresponding phase in a PMSM working without a load

  • The results show, the parameter combinations by calculating the torque with inclusion of the reluctance torque, that there is still a deviation from the finite element method (FEM) calculation, but it is a significant improvement over the analytical method from [24] without the reluctance torque

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Summary

Introduction

Thanks to their high power density and low maintenance requirements, permanent magnet synchronous machines (PMSMs) match the requirements for electric traction machines (ETM) in hybrid electric vehicles (HEV) and full electric vehicles (EV) very well [1,2,3]. For many applications of PMSMs, such negative emissions are unacceptable [6] To reduce these torque fluctuations, many methods have been developed and tested in recent years. Most of these methods use design features on the rotor or stator, and change the construction of the machine. This can reduce vibrations from other sources by excitation in the antiphase. In a previous work [24], the basic concept of an analytical method for generating certain torque fluctuations was presented and tested with the example of a permanent magnet excited synchronous machine with surface magnets. In this publication this restriction shall be removed, and the method presented in [24] shall be extended to IPMSM

Fundamentals
System of Currents
Back Electromotive Force
Analytical Model of the Inductances
Torque Generation
Alignment Torque
Cogging Torque
Reluctance Torque
Approach
Machine Parameters
Cross-section
Distribution
Conclusions
Findings
Summary
Full Text
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