Abstract
The goal of contingency ranking is to accurately choose a list of critical contingencies and rank them due to their severity. In this study, two novel and effective approaches are presented for contingency ranking. The first method proposes a static voltage stability based index which is calculated from the modal analysis and the branch participation matrix. Based on average participation factor for each line, the average branch influence factor is calculated and then root sum square index is applied to rank the contingencies. The second approach is based on dynamic voltage stability. The method employs the largest Lyapunov exponent, a stability tool adapted from the theory of chaos and non-linear dynamical system, for time series. Time-series data of the weakest bus voltage are employed for the largest Lyapunov exponent computing and based on this quantity, contingency ranking will be carried out. Test results on the IEEE 14 bus system are presented and compared with three previous indices to show the effectiveness of both methods.
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