Int. J. Power and Energy Conversion, Vol. 7, No. 2, 2016 139
Copyright © 2016 Inderscience Enterprises Ltd.
Application of multi-objective PID controller for load
frequency control in two-area nonlinear electric
power systems
Magdy A.S. Aboelela
Department of Electrical Power and Machines,
Faculty of Engineering,
Cairo University, Egypt
Email: aboelelamagdy@yahoo.com
Abstract: Design of optimal controllers is indeed a multi-objective
optimisation problem. Non-dominated sorting in genetic algorithms-II
(NSGA-II) is a popular algorithm for solving multi-objective optimisation
problems. This paper investigates the application of NSGA-II technique for
the tuning of a proportional-integral-derivative (PID) controller for a class
of identical two area-thermal power stations including the generation rate
constraint (GRC) and boiler nonlinear dynamics as well as the governor dead
band (GDB). The design objective is to improve the damping of frequency
fluctuation in two-area power system when subjected to a disturbance in their
loads. The proposed technique is applied to generate Pareto set of global
optimal solutions to the given multi-objective optimisation problem. Further,
the two PID controllers in each area are assumed to have identical structures
(same parameters). Simulation results using the tuned multi-objectives-based
GA PID controller are presented. The effectiveness of the proposed scheme is
confirmed using MATLAB-Simulink software.
Keywords: load frequency control; LFC; electric power system; PID
controllers; multi-objective genetic algorithm; nonlinear systems.
Reference to this paper should be made as follows: Aboelela, M.A.S. (2016)
‘Application of multi-objective PID controller for load frequency control in
two-area nonlinear electric power systems’, Int. J. Power and Energy
Conversion, Vol. 7, No. 2, pp.139–156.
Biographical notes: Magdy A.S. Aboelela received his BSc and MSc degrees
from Cairo University (Egypt) in 1977 and 1981. He received his PhD degree
from the State University of Ghent, Belgium in 1989. He is currently working
as a Professor at Cairo University. He has worked as a Visiting Professor at
Ilorin University, Nigeria and Sultan Qaboos University in Oman. His interests
are artificial intelligence, automatic control systems, stochastic modelling and
simulation, decision support systems, management information systems, and
application of computer technology in industry. He has published more than 70
scientific articles in journals and conference proceedings.
1 Introduction
Despite significant strides in the development of advanced control schemes over the past
three decades, the classical proportional-integral-derivative (PID) controller and its