An Application of the Βalanced Τruncation Αlgorithm Using Linear Mapping to the Robust Control Problem for the Ward-Leonard System in Wind Turbines
Received: 25 March 2025 | Revised: 25 April 2025 and 7 May 2025 | Accepted: 10 May 2025 | Online: 23 May 2025
Corresponding author: Vu Ngoc Kien
Abstract
The Balanced Truncation Algorithm (BTA) is one of the most used model order reduction algorithms, while multiple new algorithms have been developed based on the former. This paper presents in detail a solution that applies linear mapping to the subdivision process to reduce the order of a stable linear system. To demonstrate the correctness and applicability of the improved algorithm, the latter was applied to reduce the order of a 6th-order controller in a Wind Turbine (WT) system. After evaluating several reduced-order controllers, the 2nd-order controller was identified as the most suitable replacement for the original 6th-order controller. The results show that the system’s output response using the 2nd-order controller closely matches that of the original system using the 6th-order controller.
Keywords:
balanced truncation algorithm, model order reduction, linear mapping, wind turbine systemDownloads
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Copyright (c) 2025 Ngo Kien Trung, Dang Dinh Chung, Vu Anh Tuan, Vu Ngoc Kien
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