Design and PIL Implementation of Fuzzy Logic-based MPPT Control
for Symmetrical Multilevel Boost Converter
IKRAM EL HAJI1, MEGRINI MERIEM2, MUSTAPHA KCHIKACH1, GAGA AHMED2,
ABDENNEBI EL HASNAOUI1
1Power Electronics and System Control Lab,
Higher National School of Mines,
0252&&2
2Automation, Signal, Telecommunications and Intelligent Materials (ISASTM),
Polydisciplinary Faculty (FPBM), Sultan Moulay Slimane University (USMS),
Avenue Hadj Ahmed Cherkaoui, B.P: 753, Agdal, Rabat, Beni Mellal,
MOROCCO
Abstract: - This paper aims to introduce a fuzzy logic adaptive MPPT controller to control a symmetrical
multilevel converter in a standalone PV system. The system is evaluated under fixed and variable solar
radiation with 15 V as the input voltage 60 V as the required output voltage and 50 kHz as the switching
frequency. Results prove that by using the controller, the system successfully tracks the MPPT point for
constant and variable radiation without oscillation around the maximum power point. In addition, the overshoot
and time response is reduced while the voltage ripples are eliminated. The proposed controller is verified
through practical implementation in Arduino mega board to test the accuracy of results. The practical finding
via a processor in the loop test validates the simulation results.
Key-Words: - Fuzzy logic, symmetrical multilevel converter, boost converter, Maximum power point tracking,
photovoltaic system, efficiency.
Received: April 7, 2024. Revised: August 23, 2024. Accepted: October 4, 2024. Published: November 5, 2024.
1 Introduction
The use of renewable energy sources (RES) has
become essential to achieve the energy transition
and to respond to the continuously increased
consumption of electrical energy based on fossil fuel
sources. However, fossil fuel potential is steadily
decreasing which reinforces the research to find
efficient solutions. The integration of RES to power
different sectors including building and industry is
still limited due to several issues namely, the low
efficiency of renewable energy systems(RESs) and
its intermittency. For these reasons, power
converters were introduced as interface devices
dedicated to enhancing the performance of RESs,
[1], [2]. Converters give the ability to adjust the
voltage from high to low levels and vice-versa
through the converter features depending on the
circuit diagram and its design, [3]. Indeed, there are
two main categories of converters: non-isolated and
isolated converters. On one hand, the non-isolated
converters are transformer-less converters including
coupled inductor boost converters, interleaved
converters, and integrated boost converters which
are widely used due to their simplicity and
efficiency, [4]. On the other hand, isolated
converters are transformer-based converters
including Fly-back converters, half-bridge, full-
bridge, and push-pull, [5]. Despite, the extensive
enhancement in converter topologies, some
limitations still occur in conventional converters
such as high voltage and current ripples, high
voltage switches, and high power losses which
damage load and energy protection, [6], [7].
As a consequence, research has been conducted
to overcome these limitations through the
development of new converter topologies.
Multilevel converters are introduced as proposed
solutions to overcome the drawbacks of the
conventional boost converter. They are used in
several applications involving (RESs), electric
vehicles (EV), and battery energy storage systems
(BESS) due to their ability to reduce switching
losses as well as voltage and current ripples and
voltage stress, [8], [9]. Among the proposed
converters, a symmetrical multilevel converter
(SML) has been developed for PV panel systems
giving the advantages of low input current and
WSEAS TRANSACTIONS on POWER SYSTEMS
DOI: 10.37394/232016.2024.19.33
Ikram El Haji, Megrini Meriem,
Mustapha Kchikach, Gaga Ahmed,
Abdennebi El Hasnaoui
E-ISSN: 2224-350X
388
Volume 19, 2024
capacitor voltage helping to protect the nonlinear
source, [10]. In addition to these advantages, the
SML converter reduces the output voltage transient
overshoot to 46.32 % and minimizes the output
voltage and current ripples to 0.68% and 0.44%
with high efficiency reaching 97% compared to the
classic boost converter, [11], [12]. All of the
previously cited research discussed the response of
the SML under open loop system mode.
Nevertheless, DC/DC converter implementation in
PV systems and other applications requires the
analysis of the system under closed-loop mode.
Based on these reasons, it is crucial to study the
control of the SML converter under a closed-loop
mode system. Several controllers are proposed in
the literature to control converters including the
perturb and observe (P&O), fuzzy logic controller,
sliding mode control, and GSS-based MPPT
control, [9], [13], [14], [15]. However, the control of
multilevel converters is still presenting a crucial
issue prohibiting the use of multilevel converters in
several applications. In addition, in the literature,
most papers focus on the classic boost converter as a
conversion device in PV systems which limits the
efficiency of the systems controlled due to the
classic boost converter limitations. For this reason,
the use of non-classic topologies in PV systems is
highly recommended to improve the system’s
efficiency based on both aspects: converter
improvement and controller robustness. This paper
uses a non-classic boost converter topology as a
conversion device, the symmetrical multilevel
converter, and improves its performance response
through the design of a new controller, a fuzzy
logic-based MPPT controller, to be used in
standalone PV systems. The system performance is
tested under constant and variated radiation using
the Matlab/ Simulink software. In addition, the
paper aims to validate the simulation results via the
process in loop test using Arduino Mega board.
Fig. 1: the proposed stand-alone system with a
symmetrical multilevel converter
The standalone system consists of a solar PV
generator linked to a DC load using the SML as an
interface to boost the voltage via fuzzy logic-based
MPPT controller as shown in Figure 1.
2 Problem Formulation
2.1 Solar PV system
The PV system is presented by a simple module as
shown in Figure 2. The current source serves as an
equivalent of the PV cell. The photocurrent Ipv
depends on the irradiance G and the cell temperature
(TC). The resistance Rs indicates the losses due to
the contacts and the connection. The parallel
resistance, Rp, reflects the diode's leakage currents,
[16].
Fig. 2: Model of single solar PV cell
Based on equation (1), the PV cell could be
simulated in Matlab/ Simulink software.
 󰇡󰇛󰇜
 󰇢 
(1)
Where Is represents the saturation current, q is
the electron charge, k is the constant of the
Boltzmann gas and Ns is the idealizing factor of the
diode. The IPV is the photocurrent current of the PV
cell.
2.2 Symmetrical Multilevel Boost Converter
Operation
The SML dc-dc converter is proposed by [10]. it
provides the ripple reduction capability. It is
developed using two differently linked multilevel
boost converters. The first converter which is the
converter’s upper side comprises a power switch
(T1), an inductor (L1), three capacitors (C1, C2, and
C3), and three diodes (D1, D2, and D3). The
capacitors C2 and C3 generate the initial floating
output. The bottom side of the converter is a
reversed version of the top converter, including a
power switch (T2), an inductor (L2), three capacitors
(C4, C5, and C6), and three diodes (D4, D5, and D6).
The capacitors C5 and C6 generate another floating
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DOI: 10.37394/232016.2024.19.33
Ikram El Haji, Megrini Meriem,
Mustapha Kchikach, Gaga Ahmed,
Abdennebi El Hasnaoui
E-ISSN: 2224-350X
389
Volume 19, 2024
output. The load is linked differentially to the upper
and lower floating outputs. The diagram of SML is
shown in Figure 3.
Fig. 3: The diagram of the symmetrical multilevel
boost converter
The converter operates under four states
depending on the conditions of both switches T1 and
T2. The states of T1, and T2, take two hypotheses on
or OFF as presented in Table 1.
Table 1. Symmetrical multilevel converter
functioning steps
State
Switch T1
Switch T2
State 1
ON
OFF
State 2
OFF
ON
State 3
OFF
OFF
State 4
ON
ON
2.3 The Design of Symmetrical Multilevel
Boost
The SML converter is set to be implemented in a
standalone PV system powered by a PV generator
with 630 W as the maximum power for one module.
The output voltage of the PV generator is varying
according to the irradiation variation. It ranges from
10V to 15 V. The standalone system is designed to
give 60V to 64V as output voltage with 50 kHz as
frequency. The design of the SML is done based on
the following formulas (2)-(11), [10]:
 󰇛󰇜
󰇛󰇜󰇛󰇜 (2)
Where D1 and D2 represent the duty cycle of
switch T1 and switch T2

 (3)

 (4)
 (5)
 (6)
󰇛󰇜
 (7)
 (8)
󰇛󰇜 (9)
󰇛󰇜
󰇛󰇜 (10)
󰇛󰇜 (11)
2.4 The SML Converter Controller
The PV generator output power depends on
temperature and irradiance giving a non-irregular
behavior of energy served to the load. For this
reason, it is crucial to introduce an adaptive
interface between the PV generator and load which
is in our case the boost converter namely the SML.
However, a control device is vital to maintain the
output voltage of the SML at the required level.
In addition, the PV generator is characterized by
a maximum power point where the voltage and
power of the PV generator are at their maximum as
shown in Figure 4.
Fig. 4: Monitoring of the MPP direction
As a result, to get high efficiency of the system,
it is vital to ensure that the controller of the system
is keeping the PV generator functioning at its MPP.
The control algorithm is built based on the
monitoring of the MPP and its variations which are
voltage and power of the PV system. In this context,
numerous algorithms are introduced to track the
maximum power point for RESs including the
Perturb& observe (P&O), Hill climbing (HC),
Fuzzy logic control (FLC), and Incremental
conductance (IC), [17]. Multilevel converters are
known for the difficulty of their control, due to the
fact that most control algorithms require a
mathematical modeling of the converter. Due to the
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DOI: 10.37394/232016.2024.19.33
Ikram El Haji, Megrini Meriem,
Mustapha Kchikach, Gaga Ahmed,
Abdennebi El Hasnaoui
E-ISSN: 2224-350X
390
Volume 19, 2024
non-linearity of the converter, it is difficult to find
an exact mathematical model.
The FLC adaptive MPPT control is chosen to
control the SML for the following reasons: The
fuzzy logic controller is characterized by several
advantages: its resilience compared to traditional
nonlinear controllers, its ability to operate with
imprecise inputs, and the management of
nonlinearity; in addition, the FLC do not require an
exact mathematical model to control the converter.
It works based on three steps: The inference engine
with a rule base, the defuzzifier at the output
terminal, and the fuzzifier unit at the input terminal,
[18], [19].
2.5 Fuzzy Logic-Based MPPT Technique
Controller
A fuzzy logic controller is a nonlinear controller. It
includes three steps: Fuzzification, Rule base, and
defuzzification which are illustrated in Figure 5,
[20].
Fuzzification: Each entry is mapped to the
degree of the function to which it belongs. This
mapping is performed according to conditions
given by the rule base. For each linguistic term
that applies to the input variable, a degree of
membership exists.
Rule base: A rule base is a number of rules
defined by the user to produce the final signal
according to its comprehension of the system
behavior. The rules used in fuzzy logic
controllers are generally "if-then" statements,
where "if" is the condition and "then" represents
the response. For the designed system, rules are
concluded by the monitoring of the PV system
MPP observation. Based on the measured
inputs, i.e. Power variation (dP/dV) and its
derivative (d2P/dV2), simulation software
executes these rules and issues an output
variation of the duty cycle, i.e. (∆d) to get
finally a control signal. Indeed, the Mamdani
method is used to find the output of the
inference. each of the inputs admits a boolean
variation as follows:
The variation of the power source (dP/dV)
admits five linguistic variables which are
(Negative Big, Negative Small, Zero, Positive,
and Very Positive) while its derivative has three
variations d2P/dV2(Negative, Zero, Positive) as
it indicated in Table 2. The output values are
produced by the combination of the application
of rules based on the Mamdani method.
Defuzzification: In this block, fuzzy control
actions are transformed into crisp signals, [21].
Fig. 5: Fuzzy logic controller bloc diagram schema
Table 2. Rules of Duty Cycle Variation ∆D
(dPpv/dVpv)'
Negative
Zero
Positive
dPPV/dVPV
NB
3%
3%
3%
NS
3%
1%
1%
ZE
0%
0%
0%
PS
-1%
-1%
-3%
PB
-3%
-3%
-3%
The following flowchart, shown in Figure 6,
demonstrates the methodology to control the system
with the combination of MPPT and fuzzy logic
control principles.
Fig. 6: Fuzzy logic-based MPPT flowchart
algorithm
3 Problem Solution
The evaluation of the SML converter behavior is
done during constant solar radiation and variable
solar radiation. The SML, in the two cases, is
powered by a PV solar panel giving an input voltage
of Vpv= 15 V. The converter is evaluated under the
same circumstance for both processes and with the
same component sizing to find accurate results
concerning the use of the fuzzy logic adaptive
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Ikram El Haji, Megrini Meriem,
Mustapha Kchikach, Gaga Ahmed,
Abdennebi El Hasnaoui
E-ISSN: 2224-350X
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MPPT controller. The simulation is done using
Matlab/Simulink software as shown in Figure 7.
3.1 Simulation Results with Fixed Solar
Radiation
At the first stage, the solar radiation is fixed to 1000
W/m2, As a result, the power panel supplies the
converter with 15 V as Vpv. The output voltage of
the SML converter reaches 66.46 V as shown in
Figure 8. The system design in closed loop mode
succeeded in producing an output voltage in the
range of the required output voltage during the
design phase . The output voltage found is also
characterized by the elimination of ripples, fast-
rising, and settling time given 4.5 and 6.353 ms
respectively. In addition, it provides a very low
overshoot with 0.466% of the output voltage final
value. The output voltage obtained by using the
fuzzy logic adaptive MPPT control gives more
efficient and accurate results by ensuring the
stability, robustness, and fast response of the system
output.
Figure 9 shows the output current and input
current of the system. It is proved that the controller
could provide low output current gain and ripples.
Fig. 7: Schematic diagram of the SML converter with Fuzzy logic based MPPT control
Fig. 8: The SML voltage measurement results using the Fuzzy logic MPPT technique under fixed solar
radiation: Vout, and Vpv
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Fig. 9: The SML current measurement results using Fuzzy logic MPPT technique: Iout, and Ipv
Fig. 10: The SML power measurement results using the Fuzzy logic MPPT technique under fixed solar
radiation: Pout, and Ppv
Fig. 11: The SML Capacitor voltage measurement results using Fuzzy logic MPPT technique under fixed
solar radiation: VC,2,3,4,5,6
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Figure 10 illustrates the output and input power
of the system. The first one reaches 745 W as the
average value while the second is 1158 W which
represents 96% of the PV system MPP (PMPPT= 1200
W). In other words, The PV system input power is
maintained at its maximum power point of 96%.
However, the power loss equals 412.7 W which
represents 35.66 % of the input power. Indeed, the
system efficiency arrives at 64.33%. The capacitor
voltage measurement of the SML converter when
using the Fuzzy logic MPPT controller is given a fast
response and low overshoot as shown in Figure 11. In
addition, the capacitor voltage ripples are eliminated
and removed using this type of controller. Since the
output voltage is constituted of the input voltage and
capacitor voltages sum. The enhancement of the
capacitor voltage quality by removing the ripples will
surely enhance the output voltage quality and
efficiency. As a result, the elimination of ripples for
the output signal reduces the output signal
oscillations which will be highlighted in the section
on solar radiation variation.
3.2 Simulation Results with Solar Radiation
Variation
In this section, the solar radiation varies three times
as shown in Figure 12. The first phase is during the
first 0.025 s where the solar radiation equals 885
W/m2. The second phase is from 0.025 s to 0.075 s,
the solar radiation is 1005 W/m2 and the third phase
is from 0.075 s to 0.1 s, the solar radiation equals 800
W/m2. The temperature is fixed at 50 °C.
Figure 13 illustrates the variation of the output
voltage during changing the radiation. In the first
phase, the output voltage is at 60 V as required. It is
generated with a fast response and without oscillation
at the MPPT point and with a ripple elimination
feature. When passing to the second phase, the solar
radiation is increased consequently the output voltage
generated is boosted to the new MPPT value which is
66.46 V without oscillation or ripples. Similarly, in
the third phase, when the solar radiation is decreased,
the system succeeded in tracking the MPPT point
with the same quality and characteristics. As a result,
the output voltage is at 53 V.
Fig. 12: Solar radiation variation of the PV panel
Fig. 13: The SML voltage measurement results using the Fuzzy logic MPPT technique:
Under solar radiation variation: Vout, and Vpv
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Fig. 14: The SML current measurement results using Fuzzy logic MPPT technique under solar radiation
variation: Iout, and Ipv
Fig. 15: The SML Capacitor voltage measurement results using Fuzzy logic MPPT technique under solar
radiation variation: VC,2,3,4,5,6
Fig. 16: The SML power measurement results using the Fuzzy logic MPPT technique under solar radiation
variation: Pout, and Ppv
The six capacitor voltage measurements in
addition to the output current measurement show the
controller's ability to eliminate the oscillation during
the transient regime and enhance the response of the
output current. Indeed, according to Figure 14, the
output current follows the changing of the solar
radiation and the system continues to track the
optimum functioning during the three phases.
Similarly, the capacitor voltage oscillation and
ripples are eliminated for the six capacitors as shown
in Figure 15.
Figure 16 presents the SML power during the
three phases of solar radiation variation. During the
three phases, the system keeps tracking the maximum
power points and changes its response by referring to
the solar radiation change. Starting from the first
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Ikram El Haji, Megrini Meriem,
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stage, the output power is boosted from 0 W to 588
W without oscillation during the transient regime or
around the maximum power point. In the same
manner, during the second phase where the radiation
and the power of the solar panel are changed, the
output power of the system is increased to reach
741.3 W. Finally, in the third phase, the MPPT is
tracked by the system to get 481.1 W as output
power.
3.3 The Fuzzy Logic Adaptive MPPT Control
Implementation using the PIL
3.3.1 PIL Implementation Methodology
In this subsection, the testing of the fuzzy logic
adaptive MPPT control in real-time with an Arduino
Mega board and a low-cost co-simulation processor
is implemented. The fuzzy logic adaptive MPPT
control is coded in the Arduino Mega which means
that the controller is tested using the Arduino board,
while the solar PV, the SML, and the DC load are
virtual systems built in the MATLAB/Simulink
environment Figure 17 (a).
The PIL test gathers the hardware
implementation for the controller and the simulation
for the PV systems and converter. As a result, the
applicability of the systems concerns the validation of
its control using low-cost simulation.
The PIL test can be configured using the Arduino
Mega board using the subsequent steps:
1. Open the Simulink parameters,
2. Select the hardware implementation,
3. Choose PIL as the target hardware,
4. Generate C code,
5. Build the PIL block,
6. Place the PIL block controller in the Simulink
file Figure 17 (b),
7. Simulate the system.
3.3.2 PIL Implementation Results
The PIL response during constant and variable
radiation demonstrates compatibility with the
simulation results found in Figure 8 and Figure 13
concerning the output voltage illustrated in Figure 18
and Figure 19 respectively, which proves the
effectiveness of the proposed controller.
(a)
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(b)
Fig. 17: The PIL technique (a) Implementation Schematic; (b) Implementation in Matlab/Simulink
Fig.18: Output voltage using the PIL co-simulation during fixed radiation
Fig.19: Output voltage using the PIL co-simulation during variable radiation
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4 Conclusion
In this paper, the fuzzy logic adaptive MPPT
controller has been designed and implemented for a
symmetrical multilevel boost converter in a
Standalone PV system. The controller is
implemented in Arduino Mega board to test its
efficiency. Results prove that the fuzzy-based MPPT
controller can adjust the PV generator power to
meet its maximum power functioning with 96%
during the two tests: fixed solar irradiation and
variable solar irradiation without perturbation and
oscillation in the maximum power point, for
simulation in Matlab/Simulink. In addition, the
controller applicability using the Arduino Mega via
the processor in loop test validates the simulation
results. From a perspective, the full hardware
implementation of the system is highly
recommended.
Acknowledgment:
This work was supported by the National Center for
Scientific and Technical Research of Morocco,
through the Research Excellence grant program.
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Mustapha Kchikach, Gaga Ahmed,
Abdennebi El Hasnaoui
E-ISSN: 2224-350X
398
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Contribution of Individual Authors to the
Creation of a Scientific Article (Ghostwriting
Policy)
- El Haji Ikram: Methodology, Modeling,
simulating, original draft writing and editing,
results analyzing
- Meriem Megrini: PIL processor validation,
editing, and rewriting of the original draft
- Kchikach Mustapha: Supervision, editing, and
rewriting of original draft
- Gaga Ahmed: Supervision
- Abdnnebi El Hasnaoui: Supervision
Sources of Funding for Research Presented in a
Scientific Article or Scientific Article Itself
No funding was received for conducting this study.
Conflict of Interest
The authors declare that they have no known
competing financial interests or personal
relationships that could have appeared to influence
the work reported in this paper.
Creative Commons Attribution License 4.0
(Attribution 4.0 International, CC BY 4.0)
This article is published under the terms of the
Creative Commons Attribution License 4.0
https://creativecommons.org/licenses/by/4.0/deed.en
_US
WSEAS TRANSACTIONS on POWER SYSTEMS
DOI: 10.37394/232016.2024.19.33
Ikram El Haji, Megrini Meriem,
Mustapha Kchikach, Gaga Ahmed,
Abdennebi El Hasnaoui
E-ISSN: 2224-350X
399
Volume 19, 2024