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Torque Enhancement of Three Phase Surface-Mounted Permanent Magnet Machine Using 3rd Order Harmonic

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Third Harmonic Utilization in Permanent Magnet Machines

Abstract

This chapter presents a permanent magnet (PM) shaping technique with optimal 3rd harmonic to improve the output torque without deteriorating the torque ripple in surface-mounted PM (SPM) machines. The optimal value of 3rd harmonic injected into the sinusoidal PM shape for maximum torque improvement is analytically derived and confirmed by finite element (FE) analysis. Further, the influence of magnet edge thickness on the airgap field distribution is investigated and utilized to compensate the inter-pole flux leakage and curvature effect. It is found that the optimal 3rd harmonic is 1/6 of the fundamental one. For the SPM machines having rotors without shaping, Sine shaping, Sine shaping with 3rd harmonic injected, the electromagnetic performance including the back-EMF waveforms, cogging torque, average torque and torque ripple are compared. It is demonstrated that the average torque in the machine of a Sine shaping with an optimal 3rd harmonic injected can be improved by >9% while the torque ripple remains similar to that of the one with Sine shaping. Finally, the machines with both conventional (without shaping) and optimal 3rd harmonic PM rotors are prototyped and measured to validate the analyses.

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Authors and Affiliations

  1. Department of Electrical Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China

    Kai Wang

  2. Department of Electronic and Electrical Engineering, The University of Sheffield, Sheffield, UK

    Zi-Qiang Zhu

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  1. Kai Wang
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  2. Zi-Qiang Zhu
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Correspondence to Kai Wang .

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Wang, K., Zhu, ZQ. (2019). Torque Enhancement of Three Phase Surface-Mounted Permanent Magnet Machine Using 3rd Order Harmonic. In: Third Harmonic Utilization in Permanent Magnet Machines. Springer, Singapore. https://doi.org/10.1007/978-981-13-0629-7_2

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  • DOI: https://doi.org/10.1007/978-981-13-0629-7_2

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-0628-0

  • Online ISBN: 978-981-13-0629-7

  • eBook Packages: EngineeringEngineering (R0)

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