以包含感应电动机群的单机单荷系统为研究对象,设计出计算感应电动机连锁堵转终止状态的静态仿真算法,并通过动态时域仿真方法的校核。分析了感应电动机初始滑差等差分布时各参数下的连锁堵转规模,并结合实际电力系统运行的客观现实,得到了可能满足自组织临界性的系统关键参数。研究了感应电动机初始滑差随机平均分布时连锁堵转的宏观规律,并用CASCADE模型拟合了部分结果,初步表明临界条件下感应电动机连锁堵转的规模具有自组织临界性,即概率密度曲线在双对数坐标下具有幂律性质。所得相关结论对于电力系统大停电及暂态电压稳定机理和规律的研究具有一定的参考价值。
In the context of one generator-one load system with a group of induction motors, a static simulation algorithm is designed to calculate the final state of induction motor cascading stall. The high efficiency and accuracy of this static simulation algorithm are verified by strict time domain dynamic simulations. With the help of case studies of arithmetic series distributed initial slip, the key parameters that may cater for selborganized criticality (SOC) are discovered in the light of the operation experiences of practical power system. The results from massive simulations with uniform distributed initial slip show that the scales of motor cascading stall can satisfy SOC, more specifically, the PDFs of motor stall scale follow power law at critical condition in double logarithmic coordinates. Moreover, some results can be well fitted into CASCADE model. The conclusions drawn are helpful for the study of power system blackout and transient voltage stability.