非线性水轮发电机组哈密顿系统研究

Study for Hamiltonian System of Nonlinear Hydraulic Turbine Generating Unit

为了在系统模型中包含机械部分的动态,以导叶开度微分方程和非线性水轮机构成扩展的非线性水轮机模型,并转化为仿射非线性方程。采用正交分解实现方法将系统转化为哈密顿系统,进而通过结构矩阵分解和反馈耗散设计实现为耗散形式。在广义能量描述下,能量流的变化与实际物理系统是一致的。与发电机哈密顿系统连接得到了非线性水轮发电机组哈密顿系统。导出的模型结构清晰,较好的反映了系统内部关联和外部联系机制。仿真表明,系统的哈密顿函数包含了系统暂态中能量变化的详细信息。

To contain the mechanical dynarmc state m nonlinear hydraulic turbine model （NHTM）, a extended NHTM was composed with NHTM and differential equations of gate opening, and was converted to affine nonlinear system. The system was converted to a Hamiltonian system by adopting Orthogonal decomposition realization, and it was realized Hamiltonian dissipative forms by structure matrix decomposition and feedback dissipative designed. The system energy flowing was consistent with actual system in description of generalized energy. The Hamiltonian system of hydraulic turbine generator unit was established by connecting generator and NHTM Hamiltonian system. Derived unit model structure is clear, and reflects mechanism of system internal relevancy and external correlation. Simulation indicates that the Hamiltonian function contains detailed information of transient energy changing.