基于突变理论的独立电力系统电压稳定性分析

Voltage Stability Analysis of Isolated Power System Based on Catastrophe Theory

电力电子变换设备高度集成的独立电力系统电压稳定性是系统设计与运行阶段需要重点考虑的因素。为了减小系统稳定性分析时的计算量,提高分析速度,提出一种基于突变理论的独立电力系统电压稳定分析方法。通过数学推导的方法得到典型独立电力系统的势函数、平衡曲面和分歧点集合的数学描述,建立燕尾流形突变的稳定性分析方程,并给出基于突变理论的独立电力系统电压稳定裕度指标。最后通过某独立电力系统例子,说明所提方法的有效性。

The voltage stability of an isolated power systems(IPS)with power electronic devices highly integrated is a key factor that needs to be considered for the design and operation of the system.In order to reduce the amount of calculation and improve the analysis effect of system stability,this paper has proposed an analytic method for the voltage stability of the IPS based on catastrophe theory.The potential function,equilibrium surface and bifurcation set of a typical IPS are obtained through the mathematical deduction results.A dovetail manifold equation is then established for stability analysis,and the voltage stability margin index of IPS is given according to the catastrophe theory.The example of a certain IPS has verified the proposed method.