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Modeling and Application of Electromagnetic and Thermal Field in Electrical Engineering pp 175–210Cite as

Harmonic-Balanced Finite Element Method and Its Application

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Abstract

This chapter mainly introduces the harmonic-balanced finite element method (HBFEM) and its application in electrical engineering. Different from the traditional frequency domain method, the HBFEM is able to compute the nonlinear magnetic field with electrical equipments with significant saturation. Compared with the time-stepping method, transient process can be avoided in HBFEM to reduce the computational time. Furthermore, the hybrid with the fixed-point technique realizes the decomposition of harmonic solutions, which greatly improves the efficiency of numerical computation in the frequency domain. The HBFEM is employed to compute the nonlinear electromagnetic field under DC bias condition and to investigate the force characteristic in a gapped reactor core model under harmonic magnetization. Actually the principle of harmonic-balanced method is applicable to steady-state thermal problems, and it is predicted to have further contribution on loss modeling and thermal analysis of power transformers.

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Acknowledgements

This work is supported in part by the National Key Research and Development Program of China (Grant No. 2017YFB0902703), in part by the National Natural Science Foundation of China (Grant No. 51777073), in part by Hebei Province Natural Science Foundation (Grant No. E2017502061), in part by State Key Laboratory of Reliability and Intelligence of Electrical Equipment (Grant No. EERIKF2018011) and in part by the Fundamental Research Funds for the Central Universities (Grant No. 2019MS078).

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Authors and Affiliations

  1. Department of Electrical Engineering, North China Electric Power University, Box 10, Yonghua North Street No. 619, Baoding, China

    Xiaojun Zhao

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  1. Xiaojun Zhao
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Correspondence to Xiaojun Zhao .

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Editors and Affiliations

  1. Institute of Power Transmission and Transformation Technology, Baobian Electric Co., Ltd., Baoding, Hebei, China

    Zhiguang Cheng

  2. (deceased), Okayama, Japan

    Norio Takahashi

  3. Mentor Infolytica, a Siemens Business, Montreal, QC, Canada

    Behzad Forghani

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Zhao, X. (2020). Harmonic-Balanced Finite Element Method and Its Application. In: Cheng, Z., Takahashi, N., Forghani, B. (eds) Modeling and Application of Electromagnetic and Thermal Field in Electrical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-0173-9_6

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  • DOI: https://doi.org/10.1007/978-981-15-0173-9_6

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-0172-2

  • Online ISBN: 978-981-15-0173-9

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