电力系统在经受小扰动后能稳定运行的前提是其全部特征值实部小于给定值且每个特征值对应的阻尼因子大于给定常数,满足上述条件时系统所能承受的最大时滞为其实用时滞稳定裕度(PDM)。文中给出一种追踪PDM曲线的有效方法,它将PDM满足条件转换为一组优化问题的约束,从PDM曲线上任何一点出发,通过预测和校正过程,实现对整个PDM曲线的准确追踪。利用3机9节点系统验证了该方法的有效性。
To keep power system stability with time delay after a small disturbance, the real part of each eigenvalue must be negative and less than a pre given value. At the same time, damping ratio for each eigenvalue must be greater than some given values. The maximum time delay that power system can sustain without losing its stability is defined as the practical delay margin (PDM). An effective method to quickly trace the PDM curves is presented. PDM condition is firstly described as a constraint of an optimal problem. Then, starting from a point on the PDM curve, a predictor and corrector process is used to trace the whole PDM curve. Finally, WSCC 3-generator-9-bus system is employed to validate the effectiveness of the presented method.