提出一种在二维时滞空间中快速求解电力系统时滞稳定域的新方法.依据电力系统时滞稳定域临界点关键特征值具有周期性的特点,通过空间映射构建临界函数,借助二分法在有限区域内求解该函数,获取时滞稳定域临界点的关键特征值及相关信息；再通过逆映射求取电力系统时滞稳定域的临界时滞,采用微扰方法判定临界时滞所围成的小扰动时滞稳定域,并进一步推广到大范围时滞区域中.该方法计算速度快、精度高,WSCC 3机9节点算例验证了所提方法的可行性和有效性.同时,对时滞稳定域边界拓扑特性深入研究表明:时滞只诱发稳定系统出现Hopf分岔,不会导致新的奇异诱导分岔点产生.%This paper presents a new method to accelerate tracing the boundaries of time-delay stability region in power systems. Using the periodical characteristics of the critical enginvalues of the critical points, a critical function is formulated by space mapping, and then solved in a finite interval by bisection method. By this way, the critical enginvalues of the critical points and their corresponding information can be derived and used to compute the critical time delay by the inverse mapping. The small disturbance based method is also proposed to determine the small signal stability region. Then the proposed methods are applied to time-delay space in larger scale, the computational speed and accuracy are verified on the classical 3-machine 9-bus test system. And it is found in further analysis of the results that the introduction of time delay can only leads to Hopf bifurcation rather than saddle node bifurcation for a given stable system.
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