Hamiltonian Model of Hydro Turbine with Sharing Common Conduit

To bring the hydro turbine and hydraulic system into the theory frame of the generalized Hamiltonian and study the dynamic mechanism of its operation and control, the model of its Hamiltonian system is studied in this paper. Based on the differential equation model of hydro turbine decomposed hydraulic dynamics with sharing common conduit, by constructing the Hamiltonian function of hydraulic turbine, the nonlinear model of hydro turbine is converted to Hamiltonian system by adopting orthogonal decomposition realization, and it is realized into Hamiltonian dissipative forms by decomposing the structure matrix and designing the dissipative feedback. The variation of dissipative structure, feedback equivalence and energy flow in built Hamiltonian model are studied, the energy flows of Hamiltonian are consistent with actual system in description of generalized energy. Simulation indicates that the Hamiltonian function contains detailed main information of energy change of hydraulic turbine in transient, and is feasible.