システムの不確実性を考慮した最適化法とRobust AC Optimal Power Flowへの応用

カテゴリ: 論文誌(論文単位)

グループ名: 【C】電子・情報・システム部門

発行日: 2022/03/01

タイトル(英語): An Optimization under Uncertainty in System Equations and Applications to Robust AC Optimal Power Flow

著者名: 鈴木　亮平（富士電機(株)），安田　恵一郎（東京都立大学），相吉　英太郎（東京都立大学）

著者名(英語): Ryohei Suzuki (Fuji Electric Co., Ltd.), Keiichiro Yasuda (Tokyo Metropolitan University), Eitaro Aiyoshi (Tokyo Metropolitan University)

キーワード: 不確実下での最適化問題，システム方程式，ロバスト性基準，ミニマックス基準，制約緩和，ロバストな最適潮流計算　　optimization under uncertainty，system equations，robust criteria，min-max criterion，constraints-relaxation，robust ac optimal power flow

要約(英語): This paper presents a formulation of an optimization of uncertain systems and the solution technique. The optimization under uncertainties is formulated as an optimization problem which includes unknown variables in equality constraints called system equations as well as in an objective function and inequality constraints. As countermeasures against the uncertainties, a min-max criterion is applied to the objective function and robustness criteria are introduced to the inequality constraints. By differentiating state variables satisfying the equality constraints from the decision variables, we reformulate the optimization problem based on the worst case scenario of the state variables corresponding to the uncertain variables and we propose a “constraints-relaxation procedure” based method considering the equality constraints to solve the reformulated problem. In this method, a constraints-relaxed problem is solved corresponding to a finite number of samples of uncertain variables. Furthermore, a new sample of uncertain variables is sequentially generated corresponding to the inequality constraint which the solution violates most, together with state variables satisfying the system equations at the new worst-case scenario. Finally, the effectiveness of the proposed method is illustrated by numerical examples including robust AC optimal power flow considering distributed energy resources.

本誌: 電気学会論文誌C（電子・情報・システム部門誌） Vol.142 No.3 （2022） 特集Ⅰ：スマートシステムと計測・制御技術 －Withコロナ社会に向けて－　 特集Ⅱ：高機能化合物半導体エレクトロニクス技術と将来システムへの応用　特集Ⅲ：国際会議ICESS 2020

本誌掲載ページ: 401-411 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/ieejeiss/142/3/142_401/_article/-char/ja/