An Optimal Robust Controller Design for Automatic Voltage Regulator System Using Coefficient Diagram Method

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An Optimal Robust Controller Design for Automatic Voltage Regulator System Using Coefficient Diagram Method Surekha Bhusnur1

Received: 4 June 2019 / Accepted: 15 August 2020 Ó The Institution of Engineers (India) 2020

Abstract Design of a robust controller for any control system is of paramount importance in the field of control system design. Despite parameter variations, the controller has to generate signals to enable satisfactory performance of the system. One of the recent developments of the robust controller design methods is the coefficient diagram method (CDM), which is an algebraic approach, wherein the characteristic polynomial along with the controller is simultaneously obtained from the design. A graph on semilog axis, known as coefficient diagram, is a single tool used to analyze the key features of the system performance namely speed of response, stability and robustness. Although controller design using CDM has been used in many control applications, the method needs to be explored in the field of power system control problems. One of the crucial systems is the automatic voltage regulator (AVR) system. In this paper, a controller based on CDM has been designed for an AVR system and its robustness is analyzed in the presence of parameter variations. Also, the functioning of the system with conventional PID controller is contrasted with the performance of CDM-based controller. The results of the CDM-based controller are found to be better as compared to the former. Keywords Coefficient diagram method  Equivalent time constant  Robustness  Stability indices  Automatic voltage regulator

& Surekha Bhusnur [email protected] 1

Electrical and Electronics Engineering Department, BIT, Durg, Chhattisgarh, India

Introduction The robust controller design for an AVR system is among the significant interests of the researchers in the area of power system control. It is of paramount importance to maintain a constant voltage level to avoid equipment damage and poor voltage levels. If the voltage of a device violates the limits, the equipment may be unable to operate properly and may get damaged. The PID controller design has been one of the common methods used for controlling the AVR system. Tuning methods involving the Ziegler– Nichols method, soft computing techniques[1], optimization techniques are available in the literature [2–4]. In [5], a PID controller was tuned using particle swarm optimization for AVR system. Using a teaching and learning-based optimization algorithm, PID controller design was proposed in [6, 7] for the AVR system. A novel design method using coefficient diagram method (CDM) for controller design of an AVR system is presented in this paper. The CDM is an algebraic method which gives a robust controller so that the desired system performance is exhibited despite parameter variations [8–11]. A systematic controller design approach using CDM has been described in [12–14].

AVR Schematic The block diagram of an AVR system [15]can be represented as shown in Fi