A Stochastic Model for Determining Static Stability Margins in Electric Power Systems

Computation

Denis Sidorov¹  Vladislav Senko²  Andrey Kryukov³  Yuri Bulatov⁴  Konstantin Suslov⁵ 

[1] Department of Applied Mathematics, Energy Systems Institute of Russian Academy of Sciences, 664033 Irkutsk, Russia;Department of Automated Electric Power Systems, Samara State Technical University, 443099 Samara, Russia;Department of Electric Power Engineering of Transport, Irkutsk State Transport University, 664074 Irkutsk, Russia;Department of Energy, Bratsk State University, 665709 Bratsk, Russia;Department of Power Supply and Electrical Engineering, Irkutsk National Research Technical University, 664074 Irkutsk, Russia;

关键词: electric power systems;    distributed generation;    stocks of stability;    stochastic approach;    equations of limiting regimes;   

DOI  :  10.3390/computation10050067

来源: DOAJ

【 摘 要 】

This paper aims to develop a method for determining margins of static aperiodic stability for electric power systems equipped with distributed generation plants. To this end, we used generalized equations of limiting modes in a stochastic formulation. Computer simulation showed that the developed methodology can be used in solving problems of operational control of the modes of electric power systems. On the basis of the results obtained, we arrived at the following conclusions: the modified equations do not allow the iterative process to converge to a trivial solution and, therefore, they ensure high reliability of results when determining stability margins in a stochastic statement; a technique based on the introduction of an additional variable can be used to improve the convergence of computational processes when determining the stability margins in a deterministic statement; the parameters of the limiting modes obtained in the deterministic and stochastic formulations may significantly differ; with an increase in the variance of the load graphs, the risk of stability violation significantly increases; at the same time, the amount of the margin determined on the basis of the Euclidean norm remains overly optimistic; in the illustrative example, a significant increase in the risk of stability violation takes place during planned and emergency shutdowns of the EPS elements.

【 授权许可】

Unknown