The empirical Gramian balance reduction method is gradually applied to the nonlinear control and design of power system.How to obtain effective empirical controllability and observability Gramian matrices is the core of this method.In order to further improve the reduced effect,this paper forms nonlinear dynamic model of power system and analyzes the relationship of among research problem,the choice of control variables and reduction object.Given the variation characteristic of state and control variables,this paper proposes a scheme which is used to determine the disturbed values of state and control variables to form empirical controllability and observability Gramian matrices which contains rich system dynamic behaviors information.It takes advantage of some relative power system to verify the effectiveness of the proposed scheme.The simulation results show that this scheme can further decrease the reduced order and the effect of reduced model are improved greatly on the premise of guarantee the upper bound of error for order reduction.%经验Gramian平衡降阶方法正逐步应用于电力系统的非线性控制设计.如何获得有效经验可观可控Gramian矩阵,是该方法应用的核心,对降阶效果有着很大影响.为进一步提升该方法的降阶效果,建立了电力系统非线性动态模型,分析了所研究问题与控制量选取及降阶对象之间的关系.考虑了电力系统状态量及控制量变化特点,提出了一种方案用于确定各状态量和控制量的扰动值,形成了包含丰富系统动态行为信息的经验可观可控Gramian矩阵.通过研究某实际电网验证该方案可行有效,研究表明相比原方法,所提方案在保证降阶误差上界的前提下,能够进一步有效减少模型阶数,其降阶效果得到明显提升.
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