针对电力系统这样一个特殊网络结构的复杂非线性大系统,首先从分析元件与电网之间的接口关系着手,给出了基于接口概念的元件分类方法,并定义了可灵活描述元件与电网之间接口关系的接口变量。接着建立了由动态微分方程与接口代数方程组成的结构化模型。该结构化模型可完整描述元件的复杂非线性特征,具有微分一代数子系统的形式,可统一描述电力系统中的各类元件,同时其变量和方程个数可规范化确定。最后介绍了基于结构化模型设计元件非线性分散控制器的基本思路。
Power system is a large-scale complex nonlinear system with a special network topology-electrical network. Firstly, this paper analyzes the interface relation between component and the AC grid. The component classification method based on the interface concept is proposed, and the interface variable set is defined to flexibly describe the interface relation. Secondly, the component structural model is proposed, which consists of dynamic differential equations and interface algebraic equations. The proposed structural model is a typical differential-algebraic sub-system and can fully describe the complex nonlinear characteristics of any kind of component in power systems. Meanwhile, the number of variables and equations in the component's structural model can be determined standardizedly. Finally, this paper introduces the method of designing nonlinear decentralized controller of component based on the proposed structural model briefly.