A primal-dual-quasi-newton-based decentralized SCOPF approach for coordinated corrective control of interconnected power grids. (February 2022)

• Record Type: Journal Article
• Authors: Du, Hui; Lin, Tao; Bi, Ruyu; Li, Qingyan; Ke, Song
• Is Part Of: International journal of electrical power & energy systems. Volume 135(2022)
• Publication Date: 2022-02
• Subjects: Corrective control (CC) -- Distributed optimization -- Security-constrained optimal power flow (SCOPF) -- Auxiliary problem principle (APP) -- Primal–dual quasi-Newton (PDQN) -- PDQN-APP; Electrical engineering -- Periodicals; Electric power systems -- Periodicals; Électrotechnique -- Périodiques; Réseaux électriques (Énergie) -- Périodiques; Electric power systems; Electrical engineering; Periodicals; 621.3
• DOI: 10.1016/j.ijepes.2021.107504
• Languages: English
• ISSNs: 0142-0615

Abstract

Highlights: Auxiliary problem principle (APP)'s inefficiency in ill conditions is revealed. A primal-dual quasi-Newton (PDQN)-APP is proposed to achieve greater efficiency. A PDQN-APP based decentralized SCOPF approach for coordinated CC is developed. Abstract: Coordinated corrective control (CC) is indispensable for protecting multi-area interconnected power grids operated by independent entities against post-contingency overloads, and even subsequent cascading failures. Generally, CC strategies are generated online by solving a security-constrained optimal power flow (SCOPF) problem. Region-based decomposition and coordination through auxiliary problem principle (APP) allows distributed and parallel computations among subsystems without a central coordinator, eliminating the restriction of obtaining global data from independent entities. However, by taking a fixed core to form the auxiliary problems, the APP exhibits slow convergence in an ill-conditioned setting, which is inevitable for CC due to the penalty on undesirable actions, e.g., load shedding, in the objective function. In this paper, based on the in-depth theoretical analysis of the APP's deficiency, a primal–dual quasi-Newton (PDQN)-APP algorithm is proposed by generalizing the fixed core to an adaptive core. And consequently, a fully decentralized SCOPF approach is developed for the coordinated CC of interconnected power grids via the proposed PDQN-APP algorithm. In particular, the proximal-gradient updates are extended to proximal-Newton updates via the state-of-the-art PDQN method. Through the generalization, adaptive curvature estimations relevant to boundary variables are contained in both the primal and dual iterative updates to correct the ill-conditioning, which significantly improves the convergence performance. Numerical studies demonstrate the superiority of the proposed PDQN-APP algorithm in convergence rate and accuracy. The effectiveness and superiority of the developed decentralized SCOPF approach and resulting CC strategies are also verified.