Pseudo-Generalized Hamilton Model Of Power System And Transient Stability Control

Traditional models of state differential equations for power system are often described by Port-Hamilton theory but it doesn’t take transferring conductance into account, which may affect the analysis of transient stability or accuracy of transient responding calculation.Therefore, our forerunners proposed Pseudo-generalized Hamilton model, which has one more items than traditional one and thus operates better in the field of asymptotic stability control.This paper adopts the method of integral of multi-variable functions.This paper demonstrates the additional items of Pseudo-generalized Hamilton model as a partial differential derivative of state variables’ function, which could transfer realization of Pseudo-generalized Hamilton model into traditional realization of Hamilton model and then use the idea of damping injection to realize asymptotic stability control in the case of non-disturbance.On this basis,when the power system has failure or its structure changes, the value of the parameters of the system will be disturbed, the balance operating point will shift,therefore the design of controller of the possible disturbance problems in the power system is necessary and we can add disturbance term to the state differential equation of the model about Hamilton in the system.When the perturbation parameters are known, we can draw γ dissipation inequalities about the energy function of Hamilton by the method of the recipe to calculate the control rate.When the perturbation parameters are unknown,it is necessary to introduce the estimated vector and be based on γ dissipation inequalities to construct condition equation about the form of γ dissipation inequality and derive the control rate with the estimated vector. The estimated vector can be expressed by the known values and element values of weighted matrix and adjusting the weighting matrix of each excitation control rate can achieve adaptive stable control of the system.Compared with models without consideration of transfer conductance, the method which is proposed in this paper makes the overshoot of transient response curve reduce obviously and the transition time reduce significantly in the case of non-disturbance.If compared with the model’s control rate of above Pseudo-generalized Hamilton, the equations with only damping injection part and omitting compensation term also appear much simpler.When the model of Hamilton of parameter perturbation of System is builded, the designed second order disturbances rejection controller also make the overshoot of the state curve reduce and achieve the state of asymptotic stability faster.Simulation results of a three machine power system demonstrate that the approach proposed in this paper is correct and the controlling strategy designed is very effective.