基于结构化模型的电力系统元件逆系统控制方法

Inverse system control method for component of power systems based on structural model

将非线性常微分方程系统的逆系统控制方法扩展到电力系统元件这样一类非线性微分-代数子系统.基于被控元件的指数1和关联可测特殊性,分2种情况研究了其逆系统控制方法.对于能够得到代数变量解析表达式的情况,可将非线性微分-代数子系统等价转化为关联可测的非线性常微分方程子系统;对于无法得到代数变量解析表达式的情况,可将非线性微分-代数子系统等价转化为关联可测的受限非线性常微分方程子系统.针对上述2种情况,均给出了物理可实现的控制器设计方案,实现了元件被控对象的线性化和解耦.最后按所提出的方法,设计了多机系统中的一台同步发电机组的励磁控制器.

The inverse system control method of nonlinear ordinary differential equations （ODE） systems is expanded to power systems components which can be attributed to nonlinear differential-algebraic equations（DALE） systems model. Based on the particularities of the controlled components, i. e. , index one and measured interconnection, the inverse system control method was studied by dividing into two cases. For simple case that the analytic expression of the algebraic variable can be obtained, the nonlinear DAE subsystems can be equivalently transformed into nonlinear ODE subsystems with measurable interconnections. Otherwise the nonlinear DAE subsystems can be equivaleutly transformed into constrained nonlinear ODE subsystems with measurable interconnections. Physically feasible controller design scheme is proposed for above two cases, with which the linearization and decoupiing of controlled component are achieved. At last an excitation controller is designed for one synchronous generator within multi-machine power systems based on the control method proposed.