FACTS的PCH模型与自适应L_2增益控制 (一)理论篇

PCH MODELSOF FACTSWITH ADAPTIVE L_2-GAIN CONTROL Part One Theory

采用预置反馈方法 ,将电力系统中存在的一类仿射非线性系统转换为标准的哈密顿系统 ,从而导出了单机无穷大电力系统下 SVC的 PCH(端口受控哈密顿 )模型。针对系统的外界干扰和参数不确定性问题 ,设计了相应的自适应 L2 增益控制规律。文中直接采用哈密顿函数作为存储函数 ,不仅保证了数学上的严密性 ,且具有明确的物理意义。仿真结果表明 SVC采用自适应 L2 控制规律 ,不但可以确保系统渐近稳定 ,而且可以有效抑制干扰 。

A pre-feedback method is firstly proposed to transform an affine nonlinear system existing globally in power system into a standard Hamiltonian system. Based on it, the port controlled Hamiltonian (PCH) model of SVC is presented respectively in the single machine infinite-bus power system. Furthermore, dealing with problems of L2-gain disturbance attenuation and parametric indetermination for this Hamiltonian system, an adaptive L2 control law is designed with the Hamiltonian function as the storage function, which can bring more definite physical meaning under the precise mathematical form. The following simulation result shows its effectiveness in assuring asymptotical stability and in attenuating disturbance. The proposed control law is also effective in a broad range of operation points of the power system.