一种电力系统稳定性动态分析的统一方法

为了解决电压稳定问题,基于电力系统动态分析的微分代数模型,提出了一种有效的动态稳定分析和失稳类型判别方法。利用带预测-校正步骤的延拓算法追踪平衡解流形,并采取考虑平衡解流形曲率大小的自适应策略控制步长,在平衡解流形曲率较小处采用较大步长,而在平衡解流形曲率较大处采用较小步长;在计及元件动态特性的基础上,利用小扰动法在每个平衡点分析电力系统的动态稳定性,并用数值摄动法计算状态矩阵;利用状态变量的模式参与因子判断系统的动态失稳类型。使用本文所提方法对New England 10机39节点系统进行了仿真分析,实验结果证明了本方法的有效性和实用性。

Integrated Method of Dynamic Analysis of Power System Stability

The dynamic analysis of power system stability is one of the important tasks of the power system security assessment,more researches were emphasized on the static analysis historically,as the static analysis methods do not take the dynamics of the components in power system into account,the creditability of the results obtained are more or less affected,and the relationship between voltage stability and angle stability of power system has not been studied thoroughly.Therefore,analysis methods with the dynamics of network components considered are introduced in the analysis stability of power system.Based on the Differential algebraic equation model(DAE) for the dynamic analysis of power system,an effective method which investigates the dynamic stability of power systems and distinguishes the stability types is presented in the paper.Firstly,the equilibrium manifold is traced by a continuation method with a prediction-correction process,an adaptive step size control strategy considering the curvature of the manifold is introduced,the more step size will be taken at the point with the less curvature,whereas the less step size will be taken at the point with the more curvature;Then the dynamic stability of each point of the equilibrium manifold is analyzed using small disturbance analysis method considering the dynamics of components,and the state matrix of the system is calculated by the numerical disturbance scheme to each state in turn;The modal participation factors of the state variables are used to distinguish the dynamic stability types.Finally,the presented method is applied in the New England 10-generator 39-Bus power system,the simulation results obtained show that the presented method is effective and practical.