中文摘要：

采用饱和控制理论求解保持系统稳定的储能装置（energy storage device，ESD）最小容量，为电力系统储能装置的配置提供依据。从稳定域及总体收敛速度2方面分析了储能容量对含储能装置的电力系统稳定性的影响，提出了一种储能装置最小容量配置方法。构建了以储能装置容量最小为目标函数，以饱和系统稳定域和总体收敛速度指标为约束条件的优化模型。通过矩阵Schur补性质将模型求解转化为标准的线性矩阵不等式（linear matrix inequalities，LMI）问题，利用内点法进行求解，可得储能装置的最小容量。该方法求解最小储能容量简便易行，不需进行大量的时域仿真。WSCC3机9节点系统算例验证了该方法的有效性和灵活性。

英文摘要：

The saturation control theory was adopted to obtain the minimum capacity of energy storage devices （ESD） in order to provide the basis for ESD allocation in power system. The impact of capacity of ESD on the stability of power system with ESD was analyzed from the perspective of stability region and overall convergence rate. A methodology was proposed to determine the minimum capacity of ESD. This approach produced an optimization model in which the capacity was taken as the objective function, both the stability region and overall convergence rate indices were taken as the constraints. With the Schur law, all the constraints can be transformed into the standard linear matrix inequalities （LMI）, so the interior point method can be used to solve this optimization problem. The proposed method is simple and convenient to use, doesn＇t require much time domain simulation. Its application to WSCC 9 buses system is presented to demonstrate its usefulness and flexibility.