伪广义哈密顿理论及其在多机电力系统非线性励磁控制中的应用

Pseudo-generalized Hamiltonian Theory and Its Application to Multi-machine Power System Nonlinear Excitation Control

传统的电力系统广义哈密顿(Hamilton)实现方法难以考虑转移电导的影响,提出伪广义哈密顿系统理论,在广义哈密顿实现方法的基础上通过构造新的李亚普诺夫(Lyapunov)函数,实现了一类非线性系统的直接镇定控制。推导出可保证系统渐近稳定的条件和判据,将考虑转移电导情况下的多机电力系统模型表示成为伪广义耗散哈密顿形式,采用阻尼注入和能量补偿的思想进行励磁控制器的设计,物理意义更为明确,并结合电力系统的运行特点,给出判断系统渐近稳定性的近似方法。3机电力系统的仿真结果验证了所提出方法的正确性和控制策略的有效性。

It is difficult to consider the transfer conductance of power system with the traditional generalized Hamiltonian realization method. In this paper, the pseudo-generalized Hamiltonian theory was proposed. A new Lyapunov function was constructed and the direct stabilization control of a kind of nonlinear system was successfully realized. The conditions and criteria for guaranteeing the asymptotic stability of the system were explicitly derived. A multi-machine power system, which considers the transfer conductance between the generators, was expressed into the standard pseudo-generalized dissipative Hamiltonian form. The excitation controller was designed through a damping injection and energy compensation method, which has a more obvious physical meaning. The engineering approach for judging the asymptotic stability of the system was given in line with the properties of practical power system. 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.