Stochastic Stability Analysis of the Power System with Losses

Hongyu Li, Ping Ju, Chun Gan, Feng Wu, Yichen Zhou and Zhe Dong
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Hongyu Li: College of Energy and Electrical Engineering, Hohai University, Nanjing 210098, China
Ping Ju: College of Energy and Electrical Engineering, Hohai University, Nanjing 210098, China
Chun Gan: Department of Electrical Engineering and Computer Science, University of Tennessee, Knoxville, TN 37996, USA
Feng Wu: College of Energy and Electrical Engineering, Hohai University, Nanjing 210098, China
Yichen Zhou: Electrical and Electronic Department, North China Electric Power University, Baoding 071003, China
Zhe Dong: Electrical and Electronic Department, North China Electric Power University, Beijing 102206, China

Energies, 2018, vol. 11, issue 3, 1-11

Abstract: Renewable energy and electric vehicles have become involved in power systems, which has attracted researchers to stochastic continuous disturbances (SDEs). This paper addresses stochastic analysis issues for the stability of a power system with losses under SDEs. Firstly, the quasi-Hamiltonian models of power systems with losses under SDEs are given. Secondly, a novel analytical method is proposed to analyze the stability of the power system with losses under SDEs based on the stochastic averaging method. Thirdly, comparisons of stability probability under different parameters are performed, from which insights to improve the stability probability of power systems with losses under SDEs can be obtained. Even though it is challenging to assess the stability of a power system with losses under SDEs, the proposed method in this paper could serve well in this regard.

Keywords: stability probability; stochastic averaging method; quasi-Hamiltonian system; energy function method; Kolmogorov backward equation (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2018
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