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为深入探究混流式水轮机调节系统的非线性本质,在发电机组额定工况运行时有小波动的情况下,考虑水轮机及发电机的非线性特性,建立了一个新的水轮机调节系统非线性数学模型.在此基础上通过分岔图、时域图、相轨迹图及Poincare图分析了水轮机调节系统在压力管道流量变化、电网频率扰动以及负荷变化3种情况下的复杂非线性动力学特性.通过数值模拟得到了系统在稳定、临界及失稳情况时调节器的参数范围,并且得出当参数远离分岔点时有利于水轮机调节系统的收敛与稳定,为保证系统安全稳定地运行提供了理论依据.
In order to further explore the nonlinear nature of the Francis turbine governing system, a new nonlinear mathematical model of the turbine governing system is established considering the nonlinear characteristics of the turbine and the generator under the condition of small fluctuations in the rated condition of the generator set. Based on this, the complex nonlinear dynamic characteristics of turbine governing system under three kinds of changes of pressure pipe flow, power grid frequency disturbance and load variation are analyzed by bifurcation diagram, time-domain diagram, phase locus diagram and Poincare diagram. Numerical simulation results show that the parameters of the regulator are stable, critical and unstable, and the convergence and stability of the turbine regulating system are obtained when the parameters are far away from the bifurcation point. The theory is provided to ensure the safe and stable operation of the system in accordance with.