RESEARCH AND IMPLEMENTATION OF H-INFINITY BALANCED TRUNCATION ALGORITHM FOR HIGH-ORDER UNSTABLE SYSTEMS

Abstract

Unstable higher-order object models pose difficulties in analyzing and designing electrical systems due to their large dimensions and complexity. One solution to simplify these models is to reduce their order by eliminating higher-order dynamics. The H-Infinity balanced truncation (HBT) algorithm is a useful tool for addressing these challenges. The HBT algorithm reduces higher-order object models while retaining key dynamics of the original system by balancing energy across all modes. Using the HBT algorithm can simplify the analysis and design process and improve computational efficiency, leading to more accurate results and more efficient designs. To demonstrate the effectiveness of the HBT method, in this study, the algorithm was applied to a model of an unstable electrical system with a degree of 66 and reduced to degrees 8 and 15. Simulation results using Matlab showed that the HBT method was successful in reducing the order of the system and improved simulation time. The reduced-order system of degrees 8 or 15 can be used in place of the original system in applications in the time or frequency domain during analysis, design, simulation or implementation of electrical networks.