A Lyapunov approach based on gravitational search algorithm for transient stability assessment of AC/DC systems with wind power

Abstract With large‐scale wind farms connected to AC/DC network, the transient stability assessment (TSA) of the power system becomes more and more difficult. Among them, estimating the region of attraction (ROA) of the equilibrium point is a traditional but still challenging problem. Based on the L...

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Main Authors: Zihao Xie, Zhaobin Du, Weixian Zhou, Wenqian Zhang
Format: Article
Language:English
Published: Wiley 2023-06-01
Series:IET Generation, Transmission & Distribution
Subjects:
Online Access:https://doi.org/10.1049/gtd2.12871
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author Zihao Xie
Zhaobin Du
Weixian Zhou
Wenqian Zhang
author_facet Zihao Xie
Zhaobin Du
Weixian Zhou
Wenqian Zhang
author_sort Zihao Xie
collection DOAJ
description Abstract With large‐scale wind farms connected to AC/DC network, the transient stability assessment (TSA) of the power system becomes more and more difficult. Among them, estimating the region of attraction (ROA) of the equilibrium point is a traditional but still challenging problem. Based on the Lyapunov stability theory, this paper proposes a new approach to obtain the enlarged estimation of the ROA. The optimization and updating strategy of shape function in the sum of squares (SOS) optimization problem are studied to reduce the conservatism of estimation result. In the proposed method, the gravitational search algorithm (GSA) is employed to optimize the coefficients of initial shape function to improve estimation performance. Based on the time‐domain simulation (TDS) of expected faults, the fitness value for shape function optimization is calculated using the values of state variables at the fault clearing time and the system stability information. Furthermore, the optimal Lyapunov function is computed by introducing the update condition of shape function and adjusting the iteration strategy of the ROA estimation algorithm. Finally, the proposed method is applied to a two‐machine‐infinite‐bus system and a more complex nine‐bus AC/DC system with wind power. And the effectiveness of the proposed method is verified by comparing with the existing ROA estimation methods.
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spelling doaj.art-6022f9cb47864ec6a81f3d748cb8b9832023-06-20T15:22:38ZengWileyIET Generation, Transmission & Distribution1751-86871751-86952023-06-0117122739275610.1049/gtd2.12871A Lyapunov approach based on gravitational search algorithm for transient stability assessment of AC/DC systems with wind powerZihao Xie0Zhaobin Du1Weixian Zhou2Wenqian Zhang3School of Electric Power Engineering South China University of Technology Guangzhou ChinaSchool of Electric Power Engineering South China University of Technology Guangzhou ChinaSchool of Electric Power Engineering South China University of Technology Guangzhou ChinaSchool of Electric Power Engineering South China University of Technology Guangzhou ChinaAbstract With large‐scale wind farms connected to AC/DC network, the transient stability assessment (TSA) of the power system becomes more and more difficult. Among them, estimating the region of attraction (ROA) of the equilibrium point is a traditional but still challenging problem. Based on the Lyapunov stability theory, this paper proposes a new approach to obtain the enlarged estimation of the ROA. The optimization and updating strategy of shape function in the sum of squares (SOS) optimization problem are studied to reduce the conservatism of estimation result. In the proposed method, the gravitational search algorithm (GSA) is employed to optimize the coefficients of initial shape function to improve estimation performance. Based on the time‐domain simulation (TDS) of expected faults, the fitness value for shape function optimization is calculated using the values of state variables at the fault clearing time and the system stability information. Furthermore, the optimal Lyapunov function is computed by introducing the update condition of shape function and adjusting the iteration strategy of the ROA estimation algorithm. Finally, the proposed method is applied to a two‐machine‐infinite‐bus system and a more complex nine‐bus AC/DC system with wind power. And the effectiveness of the proposed method is verified by comparing with the existing ROA estimation methods.https://doi.org/10.1049/gtd2.12871HVDC and power electronicsLyapunov methodspower system transient stabilitywind power
spellingShingle Zihao Xie
Zhaobin Du
Weixian Zhou
Wenqian Zhang
A Lyapunov approach based on gravitational search algorithm for transient stability assessment of AC/DC systems with wind power
IET Generation, Transmission & Distribution
HVDC and power electronics
Lyapunov methods
power system transient stability
wind power
title A Lyapunov approach based on gravitational search algorithm for transient stability assessment of AC/DC systems with wind power
title_full A Lyapunov approach based on gravitational search algorithm for transient stability assessment of AC/DC systems with wind power
title_fullStr A Lyapunov approach based on gravitational search algorithm for transient stability assessment of AC/DC systems with wind power
title_full_unstemmed A Lyapunov approach based on gravitational search algorithm for transient stability assessment of AC/DC systems with wind power
title_short A Lyapunov approach based on gravitational search algorithm for transient stability assessment of AC/DC systems with wind power
title_sort lyapunov approach based on gravitational search algorithm for transient stability assessment of ac dc systems with wind power
topic HVDC and power electronics
Lyapunov methods
power system transient stability
wind power
url https://doi.org/10.1049/gtd2.12871
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