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Super-fast multipole method for power frequency electric field in substations

Zhanlong Zhang (Department of Electrical Engineering, State Key Laboratory of Power Transmission Equipment and System Security and New Technology, Chongqing University, Chongqing, China)
Xuemei Xie (Department of Electrical Engineering, State Key Laboratory of Power Transmission Equipment and System Security and New Technology, Chongqing University, Chongqing, China)
Lin Li (Department of Electrical Engineering, State Key Laboratory of Power Transmission Equipment and System Security and New Technology, Chongqing University, Chongqing, China)
Dongping Xiao (Department of Electrical Engineering, State Key Laboratory of Power Transmission Equipment and System Security and New Technology, Chongqing University, Chongqing, China)
Wei He (Department of Electrical Engineering, State Key Laboratory of Power Transmission Equipment and System Security and New Technology, Chongqing University, Chongqing, China)
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Abstract

Purpose

The purpose of this study is to calculate the frequency electric field in substation.

Design/methodology/approach

The paper proposes a novel fast multipole method (FMM) called Super-FMM to solve the PFEF problems in substations. The paper substitutes the original approaches for analytic expansions and translations through equivalent density representations.

Findings

The paper shows that the Super-FMM is more efficient in terms of the complexity of its storage spaces and computational costs compared with the best-known FMM when placed under scenarios with exactly the same error rates.

Research limitations/implications

Using the fast Fourier transform algorithm can further improve the optimization algorithm and computational efficiency.

Originality/value

A novel FMM called Super-FMM is proposed, which has a structure similar to that of the adaptive FMM algorithm, but the paper substitutes the original approaches for analytic expansions and translations through equivalent density representations.

Keywords

Acknowledgements

Zhanlong Zhang and Xuemei Xie et al. gratefully acknowledge the financial support for the Natural Science Foundations of Chongqing and the Independent Research Projects of State Key Laboratory of Power Transmission Equipment and System Security and New Technology.

Citation

Zhang, Z., Xie, X., Li, L., Xiao, D. and He, W. (2014), "Super-fast multipole method for power frequency electric field in substations", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 33 No. 1/2, pp. 594-610. https://doi.org/10.1108/COMPEL-01-2013-0027

Publisher

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Emerald Group Publishing Limited

Copyright © 2014, Emerald Group Publishing Limited

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