基于同伦函数的风电系统频率稳定特征值分析

分析了含大容量高比例风电的电力系统频率动态行为。建立了一种含风电场的电力系统频率分析数学模型，利用同伦函数辨别出系统特征值对应的状态变量，特别是与系统频率相关的状态变量。针对含恒速风力发电机组和双馈风力发电机组的电力系统，用特征值分析法并借助同伦函数的辨别结果实现了频率稳定特性的比较和分析。仿真结果表明含双馈风力发电机组的电力系统具有更好的频率稳定性。

Eigenvalue Analysis on Homotopy Function Based Frequency Stability of Wind Power System

The dynamic behavior of power system frequency is analyzed while large-capacity and high-proportion of wind power is involved in the power system. A mathematical model to analyze power system frequency where wind farms are involved is built, and by use of homotopy function the state variables corresponding to system eigenvalues are discriminated, especially the state variables related to system frequency. For the power system containing constant rotating speed wind power generation units and doubly-fed wind power generation units, by use of eigenvalue analysis method and by means of discrimination results of homotopy function the comparison and analysis of frequency stability characteristic are implemented. Simulation results show that the power system containing doubly fed finds power generation units possesses better frequency stability.