多机电力系统的能控性与能观性研究

Controllability and Observability of Multi-machine Power System

电力系统是一个典型的非线性系统。对多机电力系统在非线性模型下的能控性与能观性进行研究。采用微分几何理论中的李导数、李括号和李代数等方法求多机电力系统的能控性与能观性条件,并首次选用任意有限维电力系统作为研究对象。分析结果表明:多机电力系统在以各发电机励磁电压作为输入控制量和以各发电机运行角作为输出量这种对能控和能观最不利的条件下,是局部弱能控和局部弱能观的;微分几何理论和方法是非线性系统分析和设计的有效方法,结果适用于类似模型下的任意维多输入、多输出非线性电力系统,具有普适性。

Power system is a typical nonlinear system. The controllability and observability of multi-machine power system were studied by using Lie-derivative, Lie-bracket and Lie-algebra and taking the multi-machine power system as study object for the first time. Multi-machine power system with generator＇s exciting voltage as input and with generator＇s power angle as output was locally weakly controllable and observable in a confined space. Differential geometry is a valid method in studying nonlinear system.