Stochastic Small Signal Stability of a Power System with Uncertainties

Yan Xu, Fushuan Wen, Hongwei Zhao, Minghui Chen, Zeng Yang and Huiyu Shang
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Yan Xu: School of Electrical Engineering, Zhejiang University, No. 38 Zheda Rd., Hangzhou 310027, China
Fushuan Wen: Department for Management of Science and Technology Development, Ton Duc Thang University, Ho Chi Minh City, Vietnam
Hongwei Zhao: Guangzhou Power Supply Company Limited, Guangzhou 510620, China
Minghui Chen: Guangzhou Power Supply Company Limited, Guangzhou 510620, China
Zeng Yang: Guangzhou Power Supply Company Limited, Guangzhou 510620, China
Huiyu Shang: Guangzhou Power Supply Company Limited, Guangzhou 510620, China

Energies, 2018, vol. 11, issue 11, 1-16

Abstract: The ever-increasing penetration of wind power generation and plug-in electric vehicles introduces stochastic continuous disturbances to the power system. This paper proposes an analytical approach to analyze the influence of stochastic continuous disturbances on power system small signal stability. The noise-to-state stability (NSS) and NSS Lyapunov function (NSS-LF) are adopted for stability analysis with respect to the magnitude of uncertainties in a power system. The power system is modeled as a set of stochastic differential equations (SDEs). The supremum of the norm of the covariance is employed to characterize the influence of magnitudes of uncertainties on the power system. Then the relationship between the magnitudes of stochastic variations and probabilistic stability is explicitly identified by NSS. The proposed method can assess the stochastic stability of the power system by checking some algebraic expressions. Hence, it has high computation efficiency compared with the well-established Monte Carlo based method. Besides, since the magnitudes of the stochastic variations are integrated into the definition of the stochastic stability, the proposed method provides theoretical explanations for the impacts of uncertainties.

Keywords: power system; small signal stability; stability in probability; noise-to-state stability; stochastic Lyapunov function (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
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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