应用逆系统方法求解电力系统的非线性控制律

微分几何方法有效地解决了一系列的电力系统非线性控制问题，但因需要确定非线性变换，故必求解微分方程组，所以其求解控制律的过程比较繁琐。本文提出：由于电力系统数学模型形式的特殊性，非线性变换可直接确定，而无须求解微分方程组。另一方面，逆系统方法和微分几何方法本质是等价的，而逆系统方法的物理意义直观，不局限于仿射型系统，使用时仅需求导运算和代数运算，其求解控制律过程比较简捷，便于工程应用。作者以电力系统的汽门非线性控制为例，证明两种方法所得控制律是相同的。本文的结论可简化汽门控制，励磁控制，换流站控制，无功补偿器控制等问题的求解过程，亦适用于其它领域中类似的非线性控制问题。

The Inverse System Method Applied to the Derivation of Power System Non-Linear Control Laws

The differential geometric method has been applied to a series of power system non-linear control problems effectively. However, a set of of defferential equations should be solved to obtain the required deffeomorphic transformation. Therefore the derivation of control laws is very complicated. In fact,because of the specificity of power system models the required diffeomorphic transformation can be obtained directly without solving the set of differential equations. In addition,inverse system method is equivalent to differential genetric method in reality and not limited to affine non-linear systems. Its physical meaning is able to be viewed directly and its deduction needs only algebraic operation and derivation,so control laws can be obtained easily and its application to engineering is very convenient. Authors of this paper take steam valving control of power system as a typical case to be studied. It is demonstrated that the control law deduced by inverse system method is just the same as that by differential geometric method. The conclusion will simplify the control law derivations of steam valving, excitation, converter and static var compensator by differential geometric method and may be suited to similar control problems other areas.