Renewable and Sustainable Energy Reviews 146 (2021) 111135
1364-0321/© 2021 Published by Elsevier Ltd.
A novel musical chairs algorithm applied for MPPT of PV systems
Ali M. Eltamaly
a, b, c, *
a
Sustainable Energy Technologies Center, King Saud University, Riyadh, 11421, Saudi Arabia
b
Electrical Engineering Department, Mansoura University, Mansoura, Egypt
c
Saudi Electricity Company Chair in Power System Reliability and Security, King Saud University, Saudi Arabia
A R T I C L E INFO
Keywords:
Musical chairs algorithm
Optimization
Photovoltaic
Maximum power point tracker
Partial shading
ABSTRACT
Due to the multiple peaks generated in the power to voltage characteristics of partially shaded photovoltaic (PV)
arrays there is an urgent need for an effective optimization algorithm to capture its global peak instead of the
local peaks. The required optimization algorithm should converge very fast and accurately capture the global
peak. Many metaheuristic optimization algorithms have been introduced to tackle this problem and balance
exploration and exploitation performances. These algorithms use a constant number of searching agents (swarm
size) through all iterations. The maximum power point tracker (MPPT) of the PV system requires high numbers of
searching agents in the initial steps of optimization to enhance explorations, whereas the fnal stage of opti-
mization requires lower numbers of searching agents to enhance exploitations, which are conditions that are
currently unavailable in optimization algorithms. This was the research gap that was the main motive of creating
the new algorithm introduced in this paper, where a high number of searching agents is used at the beginning of
the optimization steps to enhance exploration and reduce the convergence failure. The number of searching
agents should be reduced gradually to have a lower number of search agents at the end of searching steps to
enhance exploitation. This need is inspired by the well-known musical chairs game in which the players and
chairs start with high numbers and are reduced one by one in each round which enhances the exploration at the
start of the search and exploitation at the end of the search steps. For this reason, a novel optimization algorithm
called the musical chairs algorithm (MCA) is introduced in this paper. Using the MCA for MPPT of PV systems
considerably provided lower convergence times and failure rates than other optimization algorithms. The
convergence time and failure rate are the crucial factors in assessing the MPPT because they should be minimized
as much as possible to improve the PV system effciency and assure its stability especially in the high dynamic
change of shading conditions. The convergence time was reduced to 20%–50% of those obtained using fve
benchmark optimization algorithms. Moreover, the oscillations at steady state is reduced to 20%–30% of the
values associated the benchmark optimization algorithms. These results prove the superiority of the newly
proposed MCA in the MPPTs of the PV system.
1. Introduction
The photovoltaic (PV) energy system is gaining substantial interest
worldwide, and it will gain more interest shortly, as its cost is dropping
very fast, which makes it a competitor to most of the conventional power
plants. The power generated by a PV array is a function of its terminal
voltage with nonlinear characteristics, which need an effective
maximum power point tracker (MPPT) to follow the maximum power
point (MPP) during different operating conditions. The MPPT is working
online and for this reason it should be very fast to capture the global
peak (GP) to avoid instability of the PV systems especially in fast
changing shading conditions. The MPPT needs a DC-DC converter to
control the PV array terminal voltage which can be controlled to work at
the MPP, as shown in Fig. 1. In this fgure the PV array is connected with
a boost converter and the output terminals of the boost converter is
connected to single phase inverter via DC-link capacitor to be suitably
connected to the utility grid. The power-voltage relation is called the
P–V characteristics. In the case of uniform irradiance (UI), the P–V
characteristics have only one peak, which can easily be captured even by
traditional techniques like hill-climbing (HC) [1], or incremental
conductance (InCond) [2]. Meanwhile, under partial shading conditions
(PSC), the P–V characteristics have multiple peaks, where the peak with
* Saudi Electricity Company Chair in Power System Reliability and Security, King Saud University, Saudi Arabia.
E-mail address: eltamaly@ksu.edu.sa.
Contents lists available at ScienceDirect
Renewable and Sustainable Energy Reviews
journal homepage: www.elsevier.com/locate/rser
https://doi.org/10.1016/j.rser.2021.111135
Received 29 December 2020; Received in revised form 24 March 2021; Accepted 18 April 2021