用Ляпунов-Popov 方法估计电力系统的暂态稳定域

在电力系统暂态稳定问题的研究中,应用直接法与惯用的逐步计算法相比较,有其优越之处:能够提供稳定度指标,能够快速提供临界的重合闸时间的估计.而不必计算各种假定重合闸时间下的摇摆曲线,比较适合于在线的动态安全监控.因此,十几年来,稳定性理论在电力系统中的应用已引起国内外学者的注意,现已有不少研究工作.七十年代以来,现代非线性控制理论的发展,提供了一类构造函数的方法.这一方法首先由 Pai 及 Willems 应用于电力系统的稳定分析中.

AN APPLICATION OF LIAPUNOV-POPOV''S METHOD TO THE COMPUTATION OF TRANSIENT STABILITY REGIONS FOR POWER SYSTEMS

In this paper a class of systems of nonlinear equations is investigated.By meansof Popov's method,the systematic steps for constructing the Liapunov function canbe contrived when some of the eigenvalues of the coefficient matrix of the linearpart of the equations have positive real parts.As an application,the Liapunov func-tion of a power system of multiple-input linear feedabck control to realize a fast val-ving is presented and used to estimate the asymptotic stability regions of the post-faultsystem.The software of partial security monitoring of power systems can be designedon the basis of this idea.