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针对连锁故障引发系统大停电等安全稳定问题，提出一种考虑连锁故障的多工况电力系统功角稳定性分析方法。首先，计及保护/断路器不确定动作、系统硬件失效等随机事件，确定基于潮流转移理论的系统运行工况，并计算各工况间转移概率矩阵。然后，建立了考虑连锁故障的离散Markov 多工况电力系统模型，并构造了含有该模型的李雅 普诺夫函数。在此基础上，使用迭代法推导了满足干扰衰减度γ的鲁棒随机稳定性判据，并借助线性矩阵不等式(linear matrix inequalities，LMI)中的可行性问题，分析系统稳定性。IEEE16机68节点系统时域仿真结果表明该方法能够有效判别电力系统多工况变化时的功角稳定性，与时域仿真法相比，无需获取系统运行轨迹，且计算量较小，简单易实现。“,”In accordance with the stability of blackout events caused by cascading failures, a method of analyzing time-varying angle stability of power system considering cascading failure for multi-operation conditions was proposed based on cascading failures.Firstly, with protection/breaker uncertain movements, hardware failures and other random events considered, the possible states could be determined based on flow transferring relativity factor and transition probability matrix between states can be obtained.On this basis, the discrete Markov power system model of multi-operation condition considering cascading failure was established. And Lyapunov functional including discrete Markov power system model of multi-operation condition was constructed. Iterative method was used to deduce robust stochastic stability criterion, which meets interference decay rateγ Furthermore, the problem of feasibility of linear matrix inequalities (LMI) was used to solve the system stability problem.Time-domain simulation results of IEEE 16-machine 68-bus system show that the proposed method is effective in determining the stability of power system of multi-operation condition without the trajectory and reduces the calculation amount and is easy to be put into practice compared with traditional time-domain simulation method.