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Hamiltonian model of nonlinear hydraulic turbine with elastic water column
Author(s): 
Pages: 515-520,525
Year: Issue:  6
Journal: Journal of Drainage and Irrigation Machinery Engineering

Abstract: 为了将水轮机及水力系统纳入广义哈密顿框架下研究其运行控制的动力学机制,对非线性水轮机的哈密顿建模问题进行了研究.将增量形式的传递函数所描述的弹性水击水力动态,改写为相对值形式的一阶微分方程组,并与导叶开度微分方程一起构成扩展的水轮机仿射非线性系统.构造水轮机的哈密顿函数,应用哈密顿正交分解实现方法将其转化为哈密顿系统形式,进而通过结构矩阵分解和反馈耗散设计转化为耗散哈密顿模型.对所建立的水轮机哈密...
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