混流式水轮机调节系统的混沌建模及分析

水轮发电机在正常运行中会受到各种各样的干扰(增减负荷、故障等),因此控制其稳定运行十分必要。针对混流式水轮发电机系统,分析了各个子模块的动态特性,分别建立了其整数阶和分数阶非线性数学模型,研究了正常运行工况下水轮机调节系统中各变量的状态轨迹图,采用Lyapunov指数、Poincaré映射图、功率谱分析了水轮机调节系统的非线性特性,并研究了水轮机调节系统在参数变化时的分岔现象,进一步证明了水轮发电机在运行中表现出的非线性混沌特性,研究结果可为混流式水轮发电机的混沌控制研究提供理论依据。

Chaotic Modeling and Analysis of Francis Turbine Governing System

Owing to the various disturbances caused by the fault and load change in normal operation, it is necessary to control the stable operation of hydro-generator. The dynamic characteristics of each sub-module were analyzed for the Francis turbine generator system. The integer order and fractional order nonlinear mathematical models were established, and the state trajectories of the variables in the regulating system of water turbine under normal operating conditions were also studied. The nonlinear characteristics of hydraulic turbine governing system were analyzed by using Lyapunov exponent, Poincare map and power spectrum. In addition, the bifurcation phenomenon of water turbine governing system was studied when the parameters were changed, and the nonlinear chaotic characteristics of the hydro-generator in operation were further proved. The research results can provide a theoretical basis for the study of chaos control of Francis turbine generator.