基于能量函数的电网暂态稳定性离线量化指标研究

摘要

Energy margin based on Lyapunov direct method has been considered as an important index to quantify the transient stability of power system. Especially its on-line application has been focus of attention. Based on the classical equations of rotor motion, the transient energy function model is first established in this paper. Then the converting relationship between the potential energy boundary surface and the stability region characteristics is described. Based on these, the second kick method and the interpolation method based on the property of potential energy boundary are combined to calculate the maximum of the potential energy. At last, the energy margin model is established based on the maximum of potential energy and the transient energy. The simulation results in three-machine and IEEE-30 bus system and the comparison with CUEP verify the effectiveness and feasibility of the proposed method, which can be used in off-line assessment of transient stability of power system.%基于李亚普罗夫直接法的能量裕度一直被认为是评价电力系统暂态稳定性的一个重要指标，而能量裕度一直是在线应用关注的重点。该文首先结合经典的电力系统转子运动方程，构建了暂态能量函数模型，然后分析了稳定域基本特征及其与电力系统势能边界的对应关系，并采用二次扰动与基于势能边界特性的插值法相结合的思路获取势能最大值，最后基于势能最大值构建了电网暂态稳定性量化指标。通过在三机系统和IEEE-30母线系统的系列仿真结果及其与CUEP法的对比，验证了该方法能够提高计算速度和计算精度，可用于电力系统暂态稳定性的离线评估。