Research Of Complex Power System Optimal Excitation Control Based On Modern Interior Point Nonlinear Programming

The generator excitation control is one of the most economical and effective methods in the electrical power system. It often depends on the development of control theory. Optimal control problems as the core of modern control theory, always is a hot spot of research. Domestic and foreign scholars have made a lot of achievements on the nonlinear control problem. But it is difficult to find the optimal control law for nonlinear system such as the electrical power system. On the nonlinear programming, there are some full mature methods such as modern interior point method. They have been widely applied to some problems of electrical power system, such as optimal power flow problem, unit commitment problem, and economic dispatch problem. They get massive achievements.This thesis proposes to apply nonlinear programming theory to the modeling and solving of control problem. The quadratic performance index of control system is chosen for actuality needs as the objective function. The state equations of control system are converted into numerical equivalent algebraic equations set by using the implicit trapezoidal method, and are involved in equality constrains set. The control quantity limits are used to be inequality constrains. So the optimal control problem is direct transformed into nonlinear programming one. Modern interior point nonlinear programming method is applied to solve the programming problem. The ideal to solve the nonlinear optimal control problem by using modern interior point nonlinear programming method is developed. For nonlinear control systems, the ideal is applicable universally. It also can ensure the systemachieve the optimization under the chosen objective function.For the power system excitation control system, based on modern interior point nonlinear programming method, an optimal power system excitation control design scheme is deduced. Moreover, the simulation on complex power system is used to verify the valid of the proposed method. The results of simulation show that the scheme can enhance the stability of the power system and improve the dynamic and static performances.