Title: Approximation of interconnected power system models using enhanced Schur method for balanced truncation and application to controller design

Authors: Bala Bhaskar Duddeti; Veerpratap Meena

Addresses: Department of Electrical and Electronics Engineering, EEE Research Centre, SASI Institute of Technology and Engineering (A), Tadepalligudem, 534101, Andhra Pradesh, India; Department of Electrical Engineering, National Institute of Technology, Rourkela, Odisha, 769008, India ' Department of Electrical Engineering, National Institute of Technology Jamshedpur, Jamshedpur, Jharkhand, 831014, India

Abstract: This paper presents a novel method for reducing the complexity of high-order LTI MIMO systems. Utilising the Schur technique for balanced truncation (SMBT), the approach avoids the need for balancing transformation in obtaining the denominator coefficients of the reduced model. A straightforward mathematical procedure is employed to construct the numerator coefficients, enhancing steady-state approximation and eliminating the need for Routh tables, time moments, and Markov parameters. The reduced model is used to design a controller for the original plant using model-matching concepts in the Pade sense. The performance of the simplified model and controllers is evaluated through numerical examples, with improvements in time response characteristics, ISE, and RMSE over the existing SMBT method.

Keywords: interconnected power system models; multi-input multi-output systems; higher order systems; order reduction; Markov parameters; time moments; Schur decomposition; controller design.

DOI: 10.1504/IJAAC.2025.148242

International Journal of Automation and Control, 2025 Vol.19 No.5, pp.511 - 546

Received: 27 Jun 2024
Accepted: 15 Aug 2024
Published online: 01 Sep 2025 *

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