根据自组织临界理论和考虑基于暂态稳定约束的最优潮流(OTS),建立了电力系统连锁故障和停电模拟模型。该模型涵盖暂态、潮流以及网络规划3个时间尺度的电力系统动态过程,既可模拟电力系统连锁停电过程,又可从宏观上研究和揭示电网演化的自组织临界特征。进一步基于稳定域边界的暂态稳定裕度指标评估系统的稳定性,并利用该指标的灵敏度信息将微分一代数方程描述的暂态稳定约束转化为代数约束,从而可以针对随机产生的预想故障设计相应的预防和紧急切机控制措施。新英格兰系统的仿真结果验证了所建立的模型的有效性。
Based on the self-organized criticality theory and OPF with transient stability constraints (OTS), a new cascading failure and blackout model is proposed, which contains three different time scale dynamics, i.e., transient dynamics, power flow dynamics and power grid growth dynamics. The cascading failure and the characteristics of self-organized criticality in power network evolution are investigated in this model. The stability of the transient dynamics is evaluated with the transient stability margin index based on the stability region boundary. By this index, the differential-algebraic equation type transient stability constraints are converted to algebraic constraints with the aid of sensitivities. Furthermore, appropriate preventive control (OTS) and emergency control (generator tripping and load shedding) against the random potential faults are employed to simulate the transient dynamics. The effectiveness of the blackout model proposed is verified by the simulation results concerning a New England system.