Truncation-based Approximation of Autonomous Microgrid

The complexity of microgrid systems often results in higher-order systems, necessitating strategies for order reduction. This paper focuses on the efficient reduction of order in an autonomous microgrid system, specifically targeting the truncation of higher-order terms. The original system, with an initial order of eight, is adequately downsized to lower orders using the direct truncation method (DTM). The choice of DTM aims to ensure both stability and practical applicability of the resultant lower-order models. To ascertain the reliability of these reduced-order models (ROMs), a comprehensive statistical analysis is conducted, involving the examination and tabulation of error indices and time-domain parameters. Additionally, the responses of the ROM are visually presented to enhance clarity, demonstrating compatibility with higher-order systems through evaluations encompassing step response, impulse response, Bode response, and error response.