小扰动特征分析法在电压稳定分析中的应用

Application of eigenvalue analysis in small disturbance voltage stability

小扰动特征分析法是严格的李亚普诺夫意义的稳定分析,已经被广泛应用于系统低频振荡功角稳定问题的研究。针对系统电压失稳的模式与特征建立了适合开展电压稳定问题研究的小扰动电压稳定分析模型。提出应用同伦函数对小扰动分析中状态变量与特征值之间的对应关系进行判别,然后应用分叉理论引入分叉参数深入分析计及感应电动机负荷情况下的小扰动电压失稳模式。将该方法应用于对实例系统的分析,精确地找到了系统失稳临界点处影响系统稳定性的关键因素以及系统可能发生的失稳模式。

Small distrubance eigenvalue analysis is strict stability analysis in the sense of Lyapunov, which has been widely used in research of power system low frequency oscillation. In this paper, system model suitable for voltage stability research is established according to voltage stability characteristics, and small disturbance analysis is applied in research of small disturbance voltage instability. First, method determining relationship between state variables and eigenvalue is put forward with the help of homotopy function, and then small disturbance voltage instability mode considering induction motor load is strictly analysised by means of bifurcation theory. Applying above method in an example system, the key factor of influencing power system stability and instability mode at critical can be identified.