Visual Journal of Technical and Vocational Education

Visual Journal of Technical and Vocational Education

A new method in investigating the robust stability of linear controllers designed for the automatic voltage regulation (AVR) system of synchronous generators

Document Type : Original Article

Authors
1 Department of Electrical Engineering, Technical and Vocational University (TVU), Tehran, Iran
2 Department of Mechanical Engineering, Technical and Vocational University (TVU), Tehran, Iran.
Abstract
In this work, a method is presented to analyze the robust stability of the optional linear controller provided for the automatic terminal voltage adjustment (AVR) of the synchronous generator connected to the infinite bus system (SMIB). The robust control approach and µ theorem shape the structure of the presented manner. It could be used to check the robust stability of all linear controllers designed for the AVR system. In this regard, first, the closed-loop model of the AVR system is introduced, and the range of system parameter changes is expressed in the form of real values. Then, the general P-K structure related to the robust control theory of this system is presented without considering the functional weight functions. In this structure, the blocks P and Delta are determined exactly, and K is the transfer function or state-space equations of the desired controller that the analyzer seeks to specify its robust stability. This controller could be designed in any manner. A flowchart is provided for the above process. Finally, by using the introduced P-K model and flowchart, we will investigate the robust instability of three PID controllers optimized with metaheuristic algorithms that have been proposed in the references for the AVR system.
Keywords
Subjects

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  • Receive Date 18 January 2025
  • Revise Date 08 February 2025
  • Accept Date 12 April 2025