中文摘要：

在采用了一套可综合计及风力机、轴系、异步发电机等几部分的动态特性在内的异步风电机组小干扰分析模型基础上,考虑到实际系统中各个参数是在一定范围内变化的不确定值,建立一类带有区间参数的含异步风电机组的电力系统小干扰区间模型。利用微分方程及区间动力系统相关理论,通过构造Lyapunov函数及矩阵不等式等工具,研究该含异步风电机组的电力系统小干扰区间模型的稳定性,证明了区间稳定定理。定理表明,通过系统运行参数的取值范围能够确定系统的区间稳定性。最后通过算例验证了结论的有效性。

英文摘要：

Based on the small signal stability model of asynchronous wind turbine, which include the dynamic characteristics of turbine, shaft and generator, an asynchronous wind turbine model with interval parameters was built and the small signal stability of this model was analyzed in theory. In this model, uncertain parameters which vary in certain ranges were considered. By constructing Lyapunov function, applying matrix theory and other methods, the stability theorem of asynchronous wind turbine model with interval parameters was proved, which shows that the stability of the power system can be determined by the ranges of system operating parameters. Finally the method was tested by the numerical simulation, and the result shows that it is effective and practical.