Study on Generalized Hamiltonian Model of Hydraulic Generator Unit with Elastic Water Column

Abstract

In this paper, nonlinear turbine model and hydraulic system which is one penstock one machine dynamic differential equation with elastic water column are combined. Hamiltonian function of hydraulic turbine is constructed. By applying Hamiltonian orthogonal decomposition realization and dissipation realization method, generalized Hamiltonian model of hydraulic turbine is built. Connected with generator third-order Hamiltonian model of single machine infinite bus system, generalized Hamiltonian model of hydraulic generator unit is established. This paper provides certain theory basis for research operation and control dynamics mechanism of hydraulic generator unit in generalized Hamiltonian system framework.