将满足如下2种约束时电力系统所能承受的最大时滞称为实用时滞稳定裕度(PDM):全部特征值实部小于给定值;全部特征值对应的阻尼因子大于给定常数。给出了一种求解电力系统PDM的简便方法,通过在有限区间内追踪一组复矩阵的特征轨迹以确定上述2种约束下的系统关键特征值及其PDM。最后借助单机无穷大系统和WSCC-3机9节点系统,对单一和双时滞情况下的系统PDM进行了分析,并与线性矩阵不等式(LMI)方法进行了比较,验证了该方法的有效性和计算效率。
Practical delay margin (PDM) is defined as the maximum time delay that system satisfies the following two constraints: real parts of all the eigenvalues are smaller than given values, and all the damping factors are larger than given values. A simple approach to determine PDM is presented. Critical eigenvalue and the corresponding PDM are determined by tracing eigenvalue locus of a complex matrix in a finite interval. Compared with linear matrix inequality (LMI) approach, the proposed method can identify the exact delay margin without any conservativeness and with a small computation burden. Singlemachine infinite-bus and WSCC 3-generator-9-bus systems are employed to validate the effectiveness of the proposed method.