短絡状ブランチを含む電力系統のY行列演算手法

カテゴリ: 論文誌(論文単位)

グループ名: 【B】電力・エネルギー部門

発行日: 2012/09/01

タイトル(英語): Direct Solution Method of Y-matrix Including Short Circuited Branches

著者名: 田中　和幸（富山大学大学院 理工学研究部 先進電力システム（北陸電力）寄附講座／(財) 電力中央研究所 システム技術研究所）

著者名(英語): Kazuyuki Tanaka (Intelligent Power System Engineering Laboratory, Toyama University/System Engineering Research Laboratory, CRIEPI)

キーワード: Y行列，短絡状ブランチ，三角化分解，ノード順序付け　　node admittance matrix，short circuited branch，factorization，node ordering

要約(英語): In the direct solution of Y matrix of electric power systems, short circuited branches (ST branches) such circuit breakers and line switches have been generally approximately modeled by small resistances so far. However, when those small resistance elements are included as Y matrix elements, the analytical accuracy is feared due to excessive round-off errors that are caused in factorization process for Y matrix.A new method of the direct solution of Y matrix including the ST branches is proposed in this paper. As the purpose of factorization is to obtain the node voltages efficiently, the configuration of factored matrix does not need to correspond to that of Y matrix. In the proposed method, the factored matrix is formed in which each ST branch is grouped by same voltage at the connecting ST nodes, and ST nodes except ST retained node are ordered first. Accurate each factored term for these ST nodes which are ordered first can be derived by taking exact zero resistance in conventional factorization procedure. By introducing the new factored terms above, not only the problem of the excessive round-off errors is overcome, but also the sparsity of the factored matrix can be improved.Demonstrative result is presented for large network model in order to verify the practicability of the proposed method.

本誌: 電気学会論文誌B（電力・エネルギー部門誌） Vol.132 No.9 （2012）

本誌掲載ページ: 804-811 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/ieejpes/132/9/132_804/_article/-char/ja/