提出了基于模态法的静态电压稳定性分析的新方法,通过建立模态法的静态电压稳定分析数学模型,求取潮流方程雅可比矩阵的最小特征值及其相对应的特征向量,以最小模特征值来间接评估系统的静态电压稳定裕度,并在此基础上提出了参与因子指标,计算各个节点在最小特征值下的节点参与因子来找出哪些节点或区域的电压稳定性较差.通过对某大型电网进行研究,得到其相应的电压薄弱区域,并与灵敏度分析法所得到的结果进行对比,结果基本一致,从而验证了本文方法的合理性与有效性。
The paper proposes a new method of static voltage stability analysis based on the modal analysis. Through the establishment of static voltage stability analysis model on modal method, the minimum eigenvalue of Jacobian matrix of powerflow equations and its eigenveetors are calculated, and then the minimum eigenvalue is used to indirectly assess the system static voltage stability margin indirectly, and the participation factor index is also proposed, to pinpoint the weak areas or weak nodes of static voltage stability by calculating the participation factors of each node under the minimum eigenvalue. While the study results of a practical large power grid are basically the same as the simulation results by sensitivity analysis method. Thereby it is verified that the method proposed is reasonable and effective.