Power System Voltage Stability Boundary: Computational Results and Applications

TL;DR

This paper advances power system voltage stability analysis by introducing new computational methods for stability boundaries, including a regularization transformation, anchor point analysis, and stability margin estimation, verified through examples.

Contribution

It proposes novel computational techniques for DAE stability boundary analysis, enhancing the accuracy and applicability in power system voltage stability studies.

Findings

New regularization transformation for DAEs

Existence of anchor points on voltage stability boundary

Effective methods verified with examples

Abstract

The objective of this paper is to report some computational results for the theory of DAE stability boundary, with the aim of advancing applications in power system voltage stability studies. Firstly, a new regularization transformation for standard differential-algebraic equations (DAEs) is proposed. Then the existence of anchor points on voltage stability boundary is examined, and an optimization method for computing the controlling pseudo-saddle is suggested. Subsequently, a local representation of the stable manifold of the pseudo-saddle on the stability boundary is presented, and a voltage stability margin expression is obtained. Finally, the proposed results are verified using several examples, demonstrating the accuracy and effectiveness of the suggested methods.