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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.

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