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针对电力系统具有非线性负荷的情况下 ,在经典的非线性系统几何结构理论的发展基础上 ,结合非线性系统微分几何理论 ,提出了关于微分代数系统的 M导数、M括号等一些新的概念和定义 ,并详细推导了微分代数系统的完全精确线性化设计。然后将其应用于具有非线性负荷的电力系统静止无功补偿器的控制 ,得到了非线性控制规律。仿真结果表明 ,所设计的静止无功补偿器非线性控制器与常规 PID控制相比 ,具有较好的阻尼特性和电压维持能力 ,同时 ,由于该设计计及了负荷的变化 ,从而更接近于实际情况。
Aiming at the nonlinear load of power system and based on the development of classical nonlinear system geometry theory and combining with the differential geometry theory of nonlinear system, some new concepts, such as M derivatives and M brackets for differential algebraic system And definition, and derive the exact exact linearization design of differential algebraic system. Then it is applied to the control of the static var compensator of power system with nonlinear load, and the nonlinear control law is obtained. The simulation results show that the proposed static var compensator nonlinear controller has better damping characteristics and voltage maintainability than the conventional PID control. At the same time, due to the design taking into account the load changes, it is closer to The actual situation.