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Application of the New Fast Multi-pole Boundary Element Method for Calculation of Electric Field

Abstract—By employing the analysis of storage and computation time in fast multi-pole algorithm, this article introduces a new fast multi-pole algorithm to solve the problem of large computation time in multi-pole transfer process of the original fast multi-pole boundary element method. The new method uses the index expansion form to complete the transfer process of multi-pole moments at the expense of a small amount of storage. The obtained computational efficiency is significantly improved. Finally, the two-dimensional plate capacitor model is used to verify the precision of the authors’ method, and the three-dimensional spherical capacitor model is used to verify the superiority of the new fast multi-pole algorithm in solving multi-freedom electric field distribution problems. The electric field distribution of a 110 kV substation switching field model is calculated by using the new fast multi-pole algorithm. Compared with the calculated and measured values, the error is less than 10% upon optimization of the model; therefore, this method is better able to solve large-scale, multi degree-of-freedom problems.