数值积分自动终止的算法及其工程应用

基于扩展等面积准则(EEAC)稳定性定量分析理论，提出了数值积分的自动终止算法，既大大减少了计算量，又保证不会因为积分时段太短而将多摆失稳的算例判为稳定。该算法根据主导互补簇的簇内非同调程度来反映轨迹在观察时段以后失稳的可能性：当稳定裕度足够大，且互补簇簇内的非同调性足够小时，受扰轨迹在观察时段以后也不会发散。为此，定义了簇内非同调性指标，并开发了识别可疑动态鞍点及可疑最远点的方法。仿真及近3年的大量工程实践证实了该算法的可靠性和有效性。

EARLY TERMINATION ALGORITHM FOR TRANSIENT STABILITY ANALYSIS

Breakthroughs on nonlinear stability theory are needed in order to estimate the stability beyond the observation period and term inate the sim ulation as early as possible. Based on EEAC stability theory,an algorithm for early terminating tim e dom ain simulation is introduced in this paper. Ensuring thatall multi- swing unstable cases can be reliably identified,the algorithm largely decreases the computational burden for stability analyses. If the stability m argin is large enough,and if the incoherencies within both critical cluster and remaining cluster are not strong,the system won't lose stability after a short observation period.Accordingly,not only indexes for evaluating incoherency within a cluster of trajectories,but also two criteria for identifying false dynam ic- saddle- point and false farthest- end- point are developed. Sim ulations and 3years' engineering applications at home and abroad have fully confirmed the reliability and effectiveness of this algorithm.