Super-fast multipole method for power frequency electric field in substations. (English) Zbl 1358.78078
Summary: 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.
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.
MSC:
| 78M15 | Boundary element methods applied to problems in optics and electromagnetic theory |
| 65N38 | Boundary element methods for boundary value problems involving PDEs |
References:
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