首页|Estimating Critical Clearing Time of Grid Faults Using DA of State-reduction Model of Power Systems

Estimating Critical Clearing Time of Grid Faults Using DA of State-reduction Model of Power Systems

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This paper proposes a critical clearing time(CCT)estimation method by the domain of attraction(DA)of a state-reduction model of power systems using sum of squares(SOS)programming.By exploiting the property of the Jacobian matrix and the structure of the boundary of the DA,it is found the DA of the state-reduction model and that of the full model of a power system are topological isomorphism.There are one-to-one correspondence relationships between the number of equilibrium points,the type of equilibrium points,and solutions of the two system models.Based on these findings,an expanding interior algorithm is proposed with SOS programming to estimate the DA of the state-reduction model.State trajectories of the full model can be transformed to those of the state-reduction model by orthogonal or equiradius projection.In this way,CCT of a grid fault is estimated with the DA of the state-reduction model.The calculational burden of SOS programming in the DA estimation using the state-reduction model is rather small compared with using the full model.Simulation results show the proposed expanding interior algorithm is able to provide a tight estimation of DA of power systems with higher accuracy and lower time costs.

Critical clearing timedomain of attractionexpanding interior algorithmstate-reduction modelSOS programming

Yang Liu、Zhongyang Chen、Huanjin Yao、Lin Yi、Q.H.Wu

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School of Electric Power Engineering,South China University of Technology,Guangzhou 510640,China

China Southern Power Grid Research Institute,Guangzhou 510663,China

Science and Technology Projects in GuangzhouYoung Elite Scientists Sponsorship Program by CSEE国家自然科学基金重点项目

202102020221CSEE-YESS-2018007U1866210

2024

中国电机工程学会电力与能源系统学报(英文版)
中国电机工程学会

中国电机工程学会电力与能源系统学报(英文版)

CSTPCDEI
ISSN:2096-0042
年,卷(期):2024.10(2)
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