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Two novel static and dynamic voltage stability based indexes for power system contingency ranking
Author(s) -
Doroudi Aref,
Motie Nasrabadi Ali,
Razani Reza
Publication year - 2018
Publication title -
iet generation, transmission and distribution
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.92
H-Index - 110
eISSN - 1751-8695
pISSN - 1751-8687
DOI - 10.1049/iet-gtd.2017.0991
Subject(s) - lyapunov exponent , ranking (information retrieval) , contingency table , rank (graph theory) , contingency , stability (learning theory) , control theory (sociology) , electric power system , mathematics , modal , computer science , voltage , matrix (chemical analysis) , power (physics) , mathematical optimization , statistics , engineering , artificial intelligence , machine learning , chaotic , philosophy , linguistics , control (management) , quantum mechanics , physics , electrical engineering , materials science , chemistry , composite material , combinatorics , polymer chemistry
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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