Research rticle
Design and Robustness Analysis of Multiple Extended State
Observer Based Controller (MESOBC) for AVR of the
Power System
Ravi Gandhi,
1
S. B. Masikana,
2
Gulshan Sharma ,
3
and Emre Çelik
4
1
School of Engineering, jeenkya DY Patil University, Pune 412105, India
2
Department of Electrical Engineering, Mangosuthu University of Technology, Durban & Department of Electrical Engineering
Technology, University of Johannesburg, Johannesburg 2006, South frica
3
Department of Electrical Engineering Technology, University of Johannesburg, Johannesburg 2006, South frica
4
Department of Electrical and Electronics Engineering, Engineering Faculty, D¨ uzce University, D¨ uzce, Turkey
Correspondence should be addressed to Gulshan Sharma; gulshanmail2005@gmail.com
Received 25 September 2022; Revised 30 October 2022; Accepted 1 March 2023; Published 10 March 2023
Academic Editor: Ramesh Chand Bansal
Copyright © 2023 Ravi Gandhi et al. Tis is an open access article distributed under the Creative Commons Attribution License,
which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Automatic voltage regulator (AVR) is installed on the synchronous generators in the power system and plays a very important role
in maintaining the generator output voltage besides changes in load demand, parametric uncertainties, and operating tem•
perature. As the load is continuously varying in the system, the AVR needs controllers to track and regulate the voltage of the
synchronous generator much faster. Tis paper shows an initial attempt to design a robust multiple extended state observer
(MESO) to estimate the variation in lump disturbances (i.e., load demand and parametric uncertainties) from all the components
of the AVR. MESO•based controller (MESOBC) can track such matching and mismatching of both types of irregularities and
regulate the terminal voltage of the generator accordingly. MESOBC performance is matched with strong published AVR designs
for a standard condition, ±30% load voltage variation and for simultaneous changes in AVR parameters with ±30% load voltage
variations. Integrated square error (ISE) is chosen as an objective function to compare the output of MESOBC with other
published AVR designs in view of graphical AVR responses and by calculating various numerical values for AVR responses. At
last, the robustness of MESOBC is also checked through sensitivity analysis, and it is seen that MESOBC guaranteed robust
performance for the AVR of the power system under diverse operating conditions.
1.Introduction
Te modern power system is complex and getting wider and
wider these days to meet the continuous electrical energy
demands of the society and nation. Any successful power
system needs to maintain the voltage and frequency of the
power system very tightly to its nominal value. However, due
to the shifting of consumers’ electrical energy demands, it is
very difcult to maintain these electrical parameters, and
ultimately it results in the insufciency of the power system
to deliver quality electrical energy to various customers. Te
AVR is a feedback control system which measures the
current synchronous generator output voltage and matched
it with the reference voltage value, and hence an error signal
is generated. Tis error signal is used to manage the exci•
tation of the synchronous generator, and thus the AVR can
increase or decrease the generator output voltage consid•
ering that voltage should be within its tight band as per the
system requirements. However, synchronous generator
output voltage shows a very slow response due to varying
load and high alternator feld windingsinductance [1].
Hence, a controller is a must for the AVR of the power
system to achieve a faster response with minimum over•
shoot, reduced settling time, and zero steady•state error for
various disturbances. Various types of controllers such as
PID, PID with acceleration (PID•A), fractional order de•
veloped PID, and controllers built on various concepts of
fuzzy logic are available for the AVR in [2–6]. Recently,
Hindawi
International Transactions on Electrical Energy Systems
Volume 2023, Article ID 1869840, 15 pages
https://doi.org/10.1155/2023/1869840