Research Article
A New Type-3 Fuzzy PID for Energy Management in Microgrids
Weiping Fan ,
1
Ardashir Mohammadzadeh ,
2
Nasreen Kausar ,
3,4
Dragan Pamucar ,
5
and Nasr Al Din Id
6
1
Swan College, Central South University of Forestry and Technology, Changsha, 410210 Hunan, China
2
Multidisciplinary Center for Infrastructure Engineering, Shenyang University of Technology, Shenyang 110870, China
3
Department of Mathematics and Statistics, Quaid e Azam university, Islamabad, Pakistan
4
Department of Mathematics, Faculty of Arts and Sciences, Yildiz Technical University, Esenler, 34210 Istanbul, Turkey
5
Faculty of Organizational Sciences, University of Belgrade, Belgrade, Serbia
6
Department of Mathematics, University of Aleppo, Aleppo, Syria
Correspondence should be addressed to Nasr Al Din Id; ide1112002@yahoo.ca
Received 3 June 2022; Accepted 4 July 2022; Published 29 July 2022
Academic Editor: S. E. Najafi
Copyright © 2022 Weiping Fan et al. This 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.
More recently, type-3 (T3) fuzzy logic systems (FLSs) with better learning ability and uncertainty modeling have been presented.
On other hand, the proportional-integral-derivative (PID) is commonly employed in most industrial control systems, because of
its simplicity and efficiency. The measurement errors, nonlinearities, and uncertainties degrade the performance of conventional
PIDs. In this study, for the first time, a new T3-FLS-based PID scheme with deep learning approach is introduced. In addition to
rules, the parameters of fuzzy sets are also tuned such that a fast regulation efficiency is obtained. Unlike the most conventional
approaches, the suggested tuning approach is done in an online scheme. Also, a nonsingleton fuzzification is suggested to reduce
the effect of sensor errors. The proposed scheme is examined on a case-study microgrid (MG), and its good frequency stabilization
performance is demonstrated in various hard conditions such as variable load, unknown dynamics, and variation in renewable
energy (RE) sources.
1. Introduction
Today, as technology advances and the consumerist popula-
tion grows, providing sustainable, safe, and clean energy is
one of the human’s core concerns. Regarding limitation of
non-RE resources and the environmental problems caused
by their consumption, different countries have decided to
choose other energy sources, including renewable sources,
as a future and sustainable energy source. Although RE
sources are available worldwide, many of these sources are
not available seven days a week, 24 hours a day. Some days
may be windier than others, the sun does not shine at night,
and droughts may occur for a period of time. It can be
unpredictable weather events that disrupt these technologies.
To improve the sustainability, some energy storage systems
and modern controllers should be used to make a balance
between consumption and germination [1, 2].
Because of its simplicity and capacity, PID control sys-
tems are extensively employed in most industrial problems
such as mechanical engineering, chaotic systems, and electri-
cal engineering [3]. In proportional control mode of PID,
the output is proportional to the amount of error (hence, it
is called proportional). If the error is large, the controller
output is large, and if the error is small, the controller output
is small. The adjustable parameter of proportional control is
called controller gain. The higher the controller gain leads to
the higher the proportional error. If the gain is adjusted too
high, the control loop will start to oscillate and become
unstable [4]. On the other hand, if the gain is too low,
responding to disturbances or changes in the setpoint will
not be effective enough. There is one major drawback to
using a proportional controller alone, and that is offset. Offset
is a persistent error that cannot be eliminated by proportional
control alone. The integrated control mode continuously
Hindawi
Advances in Mathematical Physics
Volume 2022, Article ID 8737448, 15 pages
https://doi.org/10.1155/2022/8737448