A Recap of Voltage Stability Indices in the Past Three Decades

Abstract

Increasing demand for electricity and the modernization of power systems within competitive markets has induced power systems to operate close to their stability limits. Therefore, the continuous monitoring and control of power systems through voltage stability indices is urgently needed. This is the first-ever effort to examine more than 40 voltage stability indices based on their formulation, application, performance, and assessment measures. These indices are sorted based on a logical and chronological order considering the most recent indices to be applied worldwide. However, the generalizability of these indices in terms of multivariable objectives is limited. Despite its limitation, this study systematically reviews available indices in the literature within the past three decades to compile an integrated knowledge base with an up-to-date exposition. This is followed by a comparative analysis in terms of their similarity, functionality, applicability, formulation, merit, demerit, and overall performance. Also, a broad categorization of voltage stability indices is addressed. This study serves as an exhaustive roadmap of the issue and can be counted as a reference for planning and operation in the context of voltage stability for students, researchers, scholars, and practitioners.

Recent trends in integrity protection of power system: A literature review

“…These indices also help in future predictions and provide long-run development trends. 91 These stability indices can be classified as line stability indices, bus stability indices, and other indices. The line stability indices are calculated for all the lines to find the margin from present operating condition to maximum power transfer point.…”

A Comprehensive Review on Optimal Location and Sizing of Reactive Power Compensation Using Hybrid-Based Approaches for Power Loss Reduction, Voltage Stability Improvement, Voltage Profile Enhancement and Loadability Enhancement

“…The classification of the static voltage stability analysis methods are based on the main idea of VSIs formulation; maximum transferable power through single line, existence of solutions for voltage equation, PV curve, Lyapunov stability theory, jacobian matrix and maximum power transfer theorem [79]. In [82], the classification of VSIs are based on system variables-based, jacobian matrix-based, and PMU-based (observability-based and local measurementbased). However, it is more preferable to categorize VSIs based on its type; line VSIs, bus VSIs and overall VSIs [79].…”

“…However, in term of accuracy, overall VSIs are better than bus and line VSIs. Various techniques were proposed in literature referred in [79,82].…”

A Contemporary Novel Classification of Voltage Stability Indices

“…Meanwhile, cursorily has glanced at application, model complexity, and perception explicitly of the proposed indices as discussed in the next sections. Considering the breadth of the subject (41 indices), it can be seen that the theoretical analysis of each index is missed as shown in Table 1 [38].…”