劣モジュラ関数最大化による電気機器のトポロジー最適化法

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: 2019/03/01

タイトル(英語): A Topology Optimization Method for Electric Machines and Devices through Submodular Maximization

著者名: 佐藤　孝洋（東芝エネルギーシステムズ（株）），藤田　真史（東芝エネルギーシステムズ（株））

著者名(英語): Takahiro Sato (Toshiba Corporation), Masafumi Fujita (Toshiba Corporation)

キーワード: トポロジー最適化，貪欲法，劣モジュラ関数　　topology optimization，greedy algorithm，submodular function

要約(英語): This paper presents a topology optimization method using a greedy algorithm for submodular maximization. This method is based on a shape representation using the normalized Gaussian network. The weight coefficients of Gaussians are discretized to +1/-1, and then their values are greedily inverted. Hence, the computational cost of the present method is relatively smaller than that of evolutionary algorithms. The present method is applied to a magnetic shield optimization problem. It is shown that Pareto solutions can be obtained by the present method. In addition, it can be found from the numerical results that the stochastic greedy algorithm can effectively reduce the computational time compared with the conventional greedy algorithm. As a result, it is shown that a 3-D optimization problem with over 3000 design variables can be solved within acceptable computational time.

本誌: 電気学会論文誌A（基礎・材料・共通部門誌） Vol.139 No.3 （2019） 特集：放電研究の最新動向

本誌掲載ページ: 181-187 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/139/3/139_181/_article/-char/ja/