Abstract:

With the expansion of interconnected power grid, the influence of random factors on power system stability is becoming increasing prominent, and the stochastic stability of power system has become an important research subject. On the basis of the analyses of the existing research work, the purpose of this paper is to discuss weak stochastic asymptotic stability of original stochastic system by using of the stability of its truncation system. Firstly the weak stochastic asymptotic stability theorem is proved in probability. And taking the power fluctuation as random excitation, nonlinear stochastic differential equations model of one single machine infinite bus (OMIB) system is constructed. Then the weak stochastic asymptotic stability of OMIB system under small random excitation is verified by the Lyapunov function cited from reference [2]. Finally the paper gave corresponding conclusions.

摘要：

随着可再生能源发电和电动汽车的接入，随机激励对电力系统稳定性的影响日渐突出，随机稳定性已成为一个重要研究课题。要直接分析随机系统的稳定性比较困难，本文提出根据确定性的截尾系统的稳定性，来分析原随机系统的弱随机渐近稳定性。首先给出了弱随机渐近稳定性定理的依概率证明，其次给出功率随机激励下单机无穷大系统的随机微分方程模型，然后利用单机无穷大系统的Lyapunov函数，验证了单机无穷大系统的局部弱随机渐近稳定性,最后给出相应的结论。