Angle Stability Analysis of Power System With Multiple Operating Conditions Considering Cascading Failure

• Published in: IEEE transactions on power systems 2017-03, Vol.32 (2), p.873-882
• Main Authors: Jing Ma, Shangxing Wang, Yang Qiu, Yinan Li, Zengping Wang, Thorp, James S.
• Format: Article
• Language: English
• Subjects: Cascading failure; Markov process; Markov processes; Modeling; Power system faults; Power system protection; Power system stability; power system with multiple operating conditions; robust stochastic stability criterion; Stability criteria
• ISSN: 0885-8950; 1558-0679
• DOI: 10.1109/TPWRS.2016.2566672

A method to analyze the angle stability of power system with multiple operating conditions considering cascading failure is proposed in this paper. First, considering stochastic events such as uncertain operation of protection/breaker and system hardware failure, the system operating condition set is determined based on the flow transfer theory and the matrix of transfer probability between different operating conditions is calculated. On this basis, the discrete Markov power system model with multiple operating conditions considering cascading failure is established. And then, construct the Lyapunov functional containing the Markov model, and derive the robust stochastic stability criterion which satisfies the disturbance attenuation degree γ by iteration and the angle stability of power system could be identified according to the criterion using linear matrix inequality tools. Finally, stability index μ is defined to establish the relationship between transfer probability and system stability. Time-domain simulation tests on the IEEE 16-machine 68-bus system verify that, the proposed method could identify the stability of power system with multiple operating conditions effectively, with no need to obtain the operating trajectory of the system. Compared with traditional time-domain simulation method, the computation amount is reduced. Besides, it is simple and easy to implement.