中文摘要：

随着电力系统接入元件的多元化以及各种电力电子技术的应用,电力系统的不确定性程度越来越严重,随机稳定性问题越来越突出,传统的确定性暂态稳定分析方法受到了严峻的挑战。提出了一种适用于分析随机复杂多机系统暂态性稳定性的改进的扩展等面积方法。首先建立了多机系统的随机微分方程模型,其次通过同调分群将随机多机系统等值为随机单机无穷大系统,最后构造含It？积分的加减速面积,用Heun算法求解系统的极限切除时间。与基于蒙特卡洛原理的数值仿真方法进行了对比,验证了该方法的正确性和快速性,并应用该方法对典型10机系统的极限切除时间进行了测算。最后用概率和统计方法对不同随机干扰强度下的极限切除时间进行了测算和对比。

英文摘要：

With increasing diversification of power system and application of power electronic technology, uncertainty of power system becomes more and more serious, and traditional deterministic transient stability analysis methods encounter severe challenges. An improved extended equal-area criteria（EEAC） method is proposed for transient stability analysis of stochastic complex multi-machine systems in this paper. Firstly, a stochastic differential equation model of multimachine systems is established. Then a stochastic multimachine system equivalent to stochastic single machine infinite bus（SMIB） system is set up by swarming according to coherency. Finally, acceleration and deceleration area is constructed, and Heun algorithm is used to seek system critical clearing times（CCTs）. Compared with numerical simulation based on Monte Carlo method, accuracy and effectiveness of the proposed method are verified. The method is applied to calculate CCTs of a typical 10 machine system. CCTs for different stochastic disturbance intensities are compared comprehensively with probability and statistical methods.