中文摘要：

针对含有控制器饱和与扰动的电力系统线性模型，提出一种基于二次型李亚普诺夫函数的实用稳定域估计新方法。首先通过引入死区函数建立控制器输出饱和且存在扰动的闭环电力系统模型；然后给出估计该系统稳定域的方法。为了减小估计结果的保守性，引入一个新的自由度，并将李亚普诺夫函数的选择转化为标准线性矩阵不等式约束优化问题，进一步利用矩阵的Schur补性质对该问题进行简化以便于直接利用Matlab软件进行求解；最后，将该方法应用于3机5节点电力系统的稳定域估计，证明了该方法具有简单实用且严格可靠的优点。

英文摘要：

A new practical method based on quadratic Lyapunov function to estimate the stability region of power systems considering disturbances and controller saturation was presented. The linear closed-loop model of power system was firstly constructed by introducing a dead-zone function; then the method to estimate the stability region was given and an extra freedom was introduced to reduce the conservatism of the results. The specification of the quadratic Lyapunov function was transformed into a linear matrix inequality （LMI） constrained optimization problem and the Schur complement of matrix was used to simplify the problem, such that the Matlab software can be directly used to solve this problem. Finally, the method was applied to estimate the stability region of a 3-machine-5-bus power system, and the results demonstrated that the method is reliable and simple.