求解电力系统二阶共振点的直接法

电力系统的二阶共振会导致系统动态特征急剧变坏。二阶共振点是系统主导稳定模式转变的临界点。深入研究二阶共振的动态特征，需要快速确定二阶共振点。针对延拓法求解计算量大的问题，文章基于极小扩张系统方法，提出一种求解电力系统二阶共振点的直接法。通过建立微分动力系统拓展方程，将二阶共振点搜索转换为拓展方程组不动点求解。该方法大幅降低了计算量，提高了求解速度。利用电力系统模型仿真验证了该方法的正确性。  

Direct Method for Solving Second-order Resonance in a Power System

The second resonance is the critical point of domain stable mode changes and the dynamic characteristics will be a sharp deterioration near the second order resonance point in a power system. That needs to quickly search system of second order resonance point while in-depth study of the power systems dynamic characteristics near the second order resonance point. Usually using continua- tion method for searching second order resonance point in past, and it is indirect and large amount of calculation. There based on the principle of minimal expansion system method, this paper presents the direct method for solving second order resonance point in a pow- er system. By creating expansion equations of differential dynamic system, power systems of second order resonance point is transformed into expanding equation fixed point solution. The method ignificantly reduces computational load, improves search accuracy for solving second order resonance point calculation. By use of power system model, the simulation results show that the method is correct.