逆手順版ツリー法による三次元直交等間隔格子上低周波磁界分布の数値計算

カテゴリ: 論文誌(論文単位)

グループ名: 【A】基礎・材料・共通部門

発行日: 2021/01/01

タイトル(英語): Numerical Calculation of Low-frequency Magnetic Field on Three-dimensional Orthogonal Equidistant Grid by Barnes-Hut Tree Method Executed in Reverse Order

著者名: 濱田　昌司（関西大学システム理工学部電気電子情報工学科）

著者名(英語): Shoji Hamada (Department of Electrical, Electronic and Information Engineering, Faculty of Engineering Science, Kansai University)

キーワード: 低周波磁界，ツリー法，逆手順版ツリー法，三次元直交等間隔格子　　low-frequency magnetic field，Barnes-Hut tree method，tree method executed in reverse order，three-dimensional orthogonal equidistant grid

要約(英語): In this paper, we undertake the numerical calculation of 50-Hz magnetic fields on three-dimensional orthogonal equidistant grids. The usual calculation method using the Biot-Savart law (BS) is accelerated by the Barnes-Hut tree method executed in reverse order (TMR). This method reduces the computation time from O(MN) to O(MlogN) + O(N), where N is the number of calculation points and M is the number of infinitesimal source current elements. Adopting a tree structure corresponding to the grid structure of calculation points further reduces calculation time. Two parallelization schemes of TMR, TMR1 and TMR2, are implemented to investigate computational performance. The calculation time, accuracy, and required memory capacity were investigated by calculating the field distribution generated by the Helmholtz coil and solenoid-like coil. The speedup of the TMR2 compared to the BS ranged from 2693 to 32391, when N and M were 14003 and 2×106, respectively. It is concluded that this method is efficient and practical for magnetic-field calculation on three-dimensional orthogonal equidistant grids.

本誌: 電気学会論文誌A（基礎・材料・共通部門誌） Vol.141 No.1 （2021） 特集：2021年研究開発の動向と最前線

本誌掲載ページ: 24-33 p

原稿種別: 論文／日本語

電子版へのリンク: https://www.jstage.jst.go.jp/article/ieejfms/141/1/141_24/_article/-char/ja/