Frequency-Limited Pseudo-Optimal Rational Krylov Algorithm for Power System Reduction

TL;DR

This paper introduces a frequency-limited, pseudo-optimal rational Krylov algorithm for large-scale power system reduction, enabling efficient simulation and control design while preserving key dynamic modes within a specific frequency range.

Contribution

It presents a novel, computationally efficient model reduction algorithm that preserves electromechanical modes and satisfies first-order optimality conditions in a frequency-limited setting.

Findings

Accurately captures oscillatory behavior of power systems.

Enables fast simulation and damping controller design.

Validated on benchmark power system examples.

Abstract

In this paper, a computationally efficient frequency-limited model reduction algorithm is presented for large-scale interconnected power systems. The algorithm generates a reduced order model which not only preserves the electromechanical modes of the original power system but also satisfies a subset of the first-order optimality conditions for H2;! model reduction problem within the desired frequency interval. The reduced-order model accurately captures the oscillatory behavior of the original power system and provides a good time- and frequency-domain accuracy. The proposed algorithm enables fast simulation, analysis, and damping controller design for the original large-scale power system. The efficacy of the proposed algorithm is validated on benchmark power system examples.