Study on generator Hamiltonian control model based on dynamic theory

Because of indeterminacy problem with selecting energy function of generator Hamiltonian model, a modeling method is proposed to derive Hamiltonian model from fundamental energy relation of generator. Under single machine infinite-bus system and ignoring D-Q damping winding, in response to mechanical and electric analytical dynamics, this paper establishes Lagrange functions, dissipation functions and generalized forces of every subsystem, and derives Lagrange-Maxwell equation set of the whole system. Hamiltonian energy function is derived from Lagrange function, and LM set is transformed into generalized Hamiltonian control model, which model structure is obvious,and energy flow is uniform with actual system. Hamiltonian control model of corresponding to third-order generator is derived by simplifying, and is compared with other Hamiltonian models by simulating. Simulation indicates that derived model can provide more information than others.