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Harmonic-Balanced Finite Element Method and Its Application

  • Xiaojun ZhaoEmail author
Chapter

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.

Keywords

Harmonic-balanced DC bias condition Harmonic magnetization Eddy current Power transformer 

Notes

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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Copyright information

© Science Press, Beijing and Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  1. 1.Department of Electrical EngineeringNorth China Electric Power UniversityBaodingChina

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