Adaptive Lyapunov Function Method for Power System Transient Stability Analysis

Qiu, Zitian, Duan, Chao, Yao, Wei, Zeng, Pingliang and Jiang, Lin ORCID: 0000-0001-6531-2791 (2023) Adaptive Lyapunov Function Method for Power System Transient Stability Analysis. IEEE TRANSACTIONS ON POWER SYSTEMS, 38 (4). pp. 3331-3344.

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Official URL: http://dx.doi.org/10.1109/tpwrs.2022.3199448

Abstract

Transient stability analysis is a crucial tool for evaluating stability and ensuring safe operation of power systems. Among existing methodologies for transient stability analysis, direct methods show merits in performing fast contingency screening and providing quantitative information for the degree of stability. However, the inherent conservatism of direct methods and their restriction on power system models still pose significant challenges for practical applications. This paper is devoted to further developing direct methods by proposing a novel adaptive Lyapunov function method, which enables estimation of critical clearing time with drastically reduced conservatism. The novelties of the proposed method lie in three aspects. First, we propose an adaptive sector condition which bounds the nonlinearity of the power system model in an adjustable neighborhood of a given equilibrium point. Second, we introduce an improved bounding technique for the time derivative of the Lyapunov function. Third, by exploiting the freedom of the adaptive sector condition and the adjustable neighborhood, the construction of Lyapunov functions along with the choice of the parameters in the sector conditions can be co-optimized to achieve the tightest possible estimation of the critical clearing time. The effectiveness of the proposed method is validated on four benchmark systems.

Item Type:	Article
Uncontrolled Keywords:	Transient stability, direct method, adaptive Lyapunov function, critical clearing time, semi-definite program
Divisions:	Faculty of Science and Engineering > School of Electrical Engineering, Electronics and Computer Science
Depositing User:	Symplectic Admin
Date Deposited:	13 Sep 2022 14:21
Last Modified:	04 Aug 2023 07:32
DOI:	10.1109/TPWRS.2022.3199448
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3164513