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Power Stations, Grids and Systems
ISSN 2074-272X. Electrical Engineering & Electromechanics, 2021, no. 5 57
© H. Sahraoui, H. Mellah, S. Drid, L. Chrifi-Alaoui
UDC 621.3 https://doi.org/10.20998/2074-272X.2021.5.08
H. Sahraoui, H. Mellah, S. Drid, L. Chrifi-Alaoui
ADAPTIVE MAXIMUM POWER POINT TRACKING USING NEURAL NETWORKS
FOR A PHOTOVOLTAIC SYSTEMS ACCORDING GRID
Introduction. This article deals with the optimization of the energy conversion of a grid-connected photovoltaic system. The novelty
is to develop an intelligent maximum power point tracking technique using artificial neural network algorithms. Purpose. Intelligent
maximum power point tracking technique is developed in order to improve the photovoltaic system performances under the
variations of the temperature and irradiation. Methods. This work is to calculate and follow the maximum power point for a
photovoltaic system operating according to the artificial intelligence mechanism is and the latter is used an adaptive modified
perturbation and observation maximum power point tracking algorithm based on function sign to generate an specify duty cycle
applied to DC-DC converter, where we use the feed forward artificial neural network type trained by Levenberg-Marquardt
backpropagation. Results. The photovoltaic system that we chose to simulate and apply this intelligent technique on it is a stand-
alone photovoltaic system. According to the results obtained from simulation of the photovoltaic system using adaptive modified
perturbation and observation – artificial neural network the efficiency and the quality of the production of energy from photovoltaic
is increased. Practical value. The proposed algorithm is validated by a dSPACE DS1104 for different operating conditions. All
practice results confirm the effectiveness of our proposed algorithm. References 37, table 1, figures 27.
Key words: artificial neural network, grid-connected, adaptive modified perturbation and observation, artificial neural
network-maximum power point tracking.
Вступ. У статті йдеться про оптимізацію перетворення енергії фотоелектричної системи, підключеної до мережі.
Новизна полягає у розробці методики інтелектуального відстеження точок максимальної потужності з використанням
алгоритмів штучної нейронної мережі. Мета. Методика інтелектуального відстеження точок максимальної потужності
розроблена з метою поліпшення характеристик фотоелектричної системи в умовах зміни температури та опромінення.
Методи. Робота полягає в обчисленні та відстеженні точки максимальної потужності для фотоелектричної системи,
що працює відповідно до механізму штучного інтелекту, і в останній використовується адаптивний модифікований
алгоритм збурення та відстеження точок максимальної потужності на основі знаку функції для створення заданого
робочого циклу стосовно DC-DC перетворювача, де ми використовуємо штучну нейронну мережу типу «прямої подачі»,
навчену зворотному розповсюдженню Левенберга-Марквардта. Результати. Фотоелектрична система, яку ми обрали для
моделювання та застосування цієї інтелектуальної методики, є автономною фотоелектричною системою. Відповідно до
результатів, отриманих при моделюванні фотоелектричної системи з використанням адаптивних модифікованих збурень
та спостереження – штучної нейронної мережі, ефективність та якість виробництва енергії з фотоелектричної енергії
підвищується. Практична цінність. Запропонований алгоритм перевірено dSPACE DS1104 для різних умов роботи. Усі
практичні результати підтверджують ефективність запропонованого нами алгоритму. Бібл. 37, табл. 1, рис. 27.
Ключові слова: штучна нейронна мережа, підключена до мережі, адаптивне модифіковане збурення та спостереження,
штучна нейронна мережа-відстеження точки максимальної потужності.
Introduction. Nowadays, the electric power
generation mainly uses fossil and fissile (nuclear) fuels.
The widespread use of fossil fuels, such as gasoline, coal
or natural gas, allows for low production prices. On the
other hand, their use results in a large release of
greenhouse gases and polluting gases. Electricity
production from fossil fuels has a great responsibility for
global CO2 emissions, hence pollution, according to the
last International Energy Agency report [1]. Nuclear
power, which does not directly release carbon dioxide, the
risks of accident linked to their exploitation are very low
but the consequences of an accident would be disastrous.
Although the risks of accident linked to their exploitation
are very low, but the consequences of an accident would
be disastrous and we must not forget the Fukushima
Daiichi nuclear disaster in Japan. Furthermore, the
treatment of waste from this mode of production is very
expensive; the radioactivity of the treated products
remains high for many years [2], that’s what prompted to
the propose a nuclear plant waste management policies
and strategies [2], and some researcher suggests to build a
regional and global nuclear security system [3]. Finally,
uranium reserves are like those of limited oil [4].
Although the world is in surplus in electricity
production today, the future is therefore not promising on
fossil fuel resources whose reserves are constantly
decreasing and whose prices fluctuate enormously
depending on the economic situation [5]. The future
preparations in the fields of energy production to satisfy
the humanity needs should be foreseen today, in order to
be able to gradually face the inevitable energy changes.
Each innovation and each breakthrough in research
will only have repercussions in about ten years at best, the
time to carry out the necessary tests and to consider
putting into production without risk for the user as much
for his own health than for its electrical installations, to
avoid the problems of pollution in the production of
electricity, alternative solutions can be photovoltaic (PV),
wind, or even hydroelectric sources [4, 5].
The use of PV solar energy seems to be a necessity
for the future. Indeed, solar radiation constitutes the most
abundant energy resource on earth. The amount of energy
released by the Sun, for one hour could be enough to
cover global energy needs for a year, for that we should
better exploit this energy and optimize its collection by
PV collectors [6].
The basic element of a PV system is the solar panel
which is made up of photosensitive cells connected to
each other. Each cell converts the rays from the Sun into
continuous type electricity. PV panels have a specific
highly non-linear electrical characteristic which appears
clearly in the current-voltage and power-voltage curves
[7]. Its electrical characteristics have a particular point
Electronic copy available at: https://ssrn.com/abstract=3945562
58 ISSN 2074-272X. Electrical Engineering & Electromechanics, 2021, no. 5
called Maximum Power Point (MPP). This point is the
optimal operating point for which the panel operates at its
maximum power, MPP is highly dependent on climatic
conditions and load, which makes the position of the MPP
variable over time and therefore difficult to locate [8].
A Maximum Power Point Tracking (MPPT) control
is associated with an intermediate adaptation stage,
allowing the PV to operate at the MPP so as to
continuously produce the maximum power of PV,
whatever the weather conditions (temperature and
irradiation), and whatever the charge. The converter
control places the system at MPP this point defined by
current Impp and voltage Vmpp. There are several MPPT
techniques that aim to extract maximum power from the
solar cells outputs [9-12] the interested reader is referred
to [11] for more details. Classic techniques such as the
Incremental Conductance technique and Perturbation and
Observation (P&O) technique, these two methods are the
most used and easy to implement methods but have
drawbacks [10-13].
New techniques based on artificial intelligence, such
as Fuzzy Logic Control [14, 15] Squirrel Search
Algorithm [16], Particle Swarm Optimization [17], Levy
Flight Optimization [12], Artificial Neural Networks
(ANN) [18, 19], and other propose a hybrid techniques
[20-23].
The methods based on ANN allow solving non-
linear problems and more complicated by a very fast way
since they are represented by non-linear mathematical
functions [24]. A different ANN-MPPT algorithm for
maximization of power PV production have been studied
in many research papers [18, 19, 25]. Messalti et al. in
[19] proposes with experimental validation two versions
of ANN-MPPT controllers either with fixed or variable
step. The aim of their works was to propose an optimal
MPPT controller based on neural network for used it in
the PV system. Different operating climatic conditions are
investigated in the ANN training step in order to improve,
tracking accuracy, response time and reduce a chattering.
Kumar et al. in [26] propose two Neural Networks
(NN) in the purpose of PV grid-connected with multi-
objective and distributed system; one is for assuring
MPPT and the other for the generation of reference
currents; the NN used for MPPT is based on hill climbing
learning algorithm, and use a NN version of a Power
Normalized Kernel Least Mean Fourth algorithm control
(PNKLMF-NN) to generate a reference currents.
Tavakoliel al. in [27] propose an intelligent method
for MPPT control in PV systems, this study establishes a
two-level adaptive control framework to increase its
efficiency by facilitating system control and efficiently
handling uncertainties and perturbations in PV systems
and the environment; where the ripple correlation control
is the first level of control and the second level is based
on an adaptive controller rule for the Model Reference
Adaptive Control system and is derived through the use of
a self-constructed Lyapunov neural network. However,
this approach did not been applied in the purpose of grid
connected PV system.
In [28] the authors have made a new technique – a
Adaptive Modified Perturbation and Observation
(AMPO), which reduces the MPP search steps this last
based on the function which widely used in sliding mode
control sign function, by this technique of reducing the
calculation time and the chattering; compared to classic
P&O technique.
Many authors study the issues of PV system grid
connection [26], [29-31]. Slama et al. in [29] offer a
clever algorithm for determining the best hours to switch
between battery and PVs, on the other hand, Belbachir et
al. in [30] seeks the optimal integration, both for
distributed PVs and for the batteries, other deal with the
management of electricity consumption [31].
In this paper, we propose an adaptive P&O
algorithm technique based on neural network with the PV
system to increase the power of PV and operate at MPP,
whatever the climatic variation such as the radiation and
the temperature, according a grid demand.
The main contribution of this work is to present an
Adaptive Modified Perturbation and Observation –
Artificial Neural Networks (AMPO-ANN) based on the
sign function which simplifies and reduces the step and
time of calculating MPPT point which allows minimizing
both the calculation time, the structure of the classic P&O
algorithm and the AMPO-ANN designing. Furthermore,
in the purpose of real-time application the major problem
in a neural network framework is the large size of the
created program who add a difficult to implant, especially
for the realization of a complex system with small time
constant.
We are mainly interested in the development of a
control system based on ANN which allows the
continuation of the MPP by simulation and experiments,
which allows increasing the performance of the neural
MPPT chart compared to the other maximization
methods. Figure 1 below presents a proposed system of
control.
β
T
ipv
Vpv
iout
u
Vout
Converter
DC-DC
Vin
PV
ANN
.
Inverter
DC/AC
Three –phase
Grid
AC Load
LC Filter
Fig. 1. Schematic diagram of the PV system under study
with AMPO-ANN strategy
The goal of the paper is to develop a technique of
maximization power point tracking search based on the
function sign which simplifies and reduces the step size
and the computation time of the maximum power point
tracking point which minimize both calculation time.
Subject of investigations. This paper is valid power
maximization technique-based neurons networks by a test
bench with a dSPACE DS1104.
Description and modeling of proposed PV system.
Equation (1) describes the PV cell model, this model
(Fig. 2) can be definite by the application of standard data
given by the manufacturer. The equivalent circuit for PV
cell is presented as follow [32].
The typical equation for a single-diode of PV panel
is as follows:
Electronic copy available at: https://ssrn.com/abstract=3945562
ISSN 2074-272X. Electrical Engineering & Electromechanics, 2021, no. 5 59
sh
pv
s
pv
aV
I
R
V
s
ph
pv
R
I
R
V
e
I
I
I T
pv
s
pv
















1 , (1)
where Ipv is the current generated by PV panel; Iph is the
generated photo-current; Is is the current of saturation;
Vpv is the voltage of PV panel; Rs is the array’s equivalent
series resistance; a is the constant of the ideal diode VD;
VT is the thermal voltage of PV (VT = KT/q, where K is the
Boltzmann’s constant; T is the temperature of PV; q is the
charge of an electron); Rsh is the array’s equivalent
parallel resistance.
Iph
Rs
Rsh
VPV
VD
Is
Ish
I0
Fig. 2. The PV cell equivalent circuit
Figures 3 and 4 illustrate the PV panel’s
characteristics as they change; both temperatures between
25 to 75 C and irradiation between 200 to 1000 W/m2
respectively.
Left MPP
Right MPP
0 5 10 15 20 25
Vpv, V
0
10
20
30
40
50
60
70
Ppv, W
Fig. 3. Characteristics P = f(V) of the PV panel under variation
of temperature
Ppv, W
0
10
20
30
40
50
60
70
80
90
0 5 10 15 20 25
Vpv, V
Fig. 4. Characteristics P = f(V) of the PV panel under irradiation
variation
Buck converter modeling. The load is connected to
the DC bus via a DC-DC buck power converter [33]
(Fig. 5), which allows it to be controlled.
Vin VD
Q L iL
IC
C
IR
R Vout
Fig. 5. Buck converter
To model the converter, state space average
equations are employed, as shown in the equation (2) [34]







,
;
2
3
1
2
2
2
1
1
1
x
k
x
k
x
x
k
uV
k
x in


(2)
where u is duty cycle and k1 = 1/L; k2 = 1/C; k3 = 1/RC.
The steady state is given by
[x1 x2] = [iL Vout]. (3)
 The DC/AC inverter model. Figure 6 presents the
structure of three-phase voltage source inverter (VSI).
Fig. 6. Structure of a three-phase VSI
The switching function is Cii = A, B, C as
bellow[35]:
 if Ci = 1, then Ki is OFF and Ki is ON;
 if Ci = 0, then Ki is ON and Ki is OFF.
The outputs voltage of the inverter UAB, UBC, UCA
can be write as:











.
;
;
Ao
Co
CA
Co
Bo
BC
Bo
Ao
AB
U
U
U
U
U
U
U
U
U
(4)
Since the phase voltages are star-connected to load
sum to zero, equation (4) can be written:
 
 
 















.
3
1
;
3
1
;
3
1
BC
CA
Cn
AB
BC
Bn
CA
AB
An
U
U
U
U
U
U
U
U
U
(5)
For the phase-to-neutral voltages of a star-connected
load obtain this model:











.
;
;
Co
no
Cn
Bo
no
Bn
Ao
no
An
U
U
U
U
U
U
U
U
U
(6)
and we conclude that:
 
Co
Bo
Ao
no U
U
U
U 


3
1
. (7)
Electronic copy available at: https://ssrn.com/abstract=3945562
60 ISSN 2074-272X. Electrical Engineering & Electromechanics, 2021, no. 5
For ideal switching can be obtained:
Uio = CiUc – Uc /2, (8)
with
 
 
 











.
5
,
0
;
5
,
0
;
5
,
0
C
C
Co
C
B
Bo
C
A
Ao
U
C
U
U
C
U
U
C
U
(9)
Substitution of (6) into (7) obtain [30]:




















.
3
2
3
1
3
1
;
3
1
3
2
3
1
;
3
1
3
1
3
2
Co
Bo
Ao
Cn
Co
Bo
Ao
Bn
Co
Bo
Ao
An
U
U
U
U
U
U
U
U
U
U
U
U
(10)
Setting (9) with (10), obtain:
.
2
1
1
1
2
1
1
1
2
3
1






































C
B
A
C
Cn
Bn
An
C
C
C
U
U
U
U
(11)
The Conventional P&O Algorithm (CPOA). In
the P&O process the voltage is increased or decreased
with a defined step size in the direction of reaching the
MPP. The method is carried out again and again till the
MPP is attained. In steady condition the operational point
oscillates about the MPP, the oscillation is highly
dependent on step size, so that when using a small step
size, it can reduce volatility but can reduce system
dynamics as well. On the other hand, while using a large
step size it can improve system dynamics, but it can
increase volatility around MPP as well [36]. Figure 7
illustrates the flowchart of the CPOA algorithm.
AMPO-ANN algorithm. Many MPPT approaches
have recently been created and developed. In terms of
accuracy, for real time implementation the P&O MPPT
method is more practical than other MPPTs because it is
easier to implement [38]. The P&O MPPT technique is
primarily based on the perturbation of the PV output
voltage V(t) and related output power P(t), which is
compared to the prior perturbation P(t +1). Keep the next
voltage shift in the same direction as the previous one if
the power increases.
Measurement VPV (K+1) IPV (K+1)
Initialisation values VPV (K) IPV (K), PPV(K)
Measurement PGPV (K+1)
PPV(K+1) > PPV(K)
PPV(K)-PPV(K+1)>0
VPV(K+1)> VPV(K)
u=u-Δu
u=u-Δu u=u+Δu
u=u+Δu
VPV(K)=VPV(K+1)
IPV(K)=IPV(K+1)
Yes
Yes
Yes
No
No
No Yes
Return
VPV(K+1)> VPV(K)
Conventional steps
Fig.7. Flowchart of the CPOA algorithm
Artificial intelligence is used in many areas of
research, and ANN is a bright and promising part of these
technologies, where process control and monitoring,
recognition of patterns, power electronics, finance and
economics, and medical diagnosis are only a few of the
applications where ANNs have proven their worth [37].
In this paper, we will use two neural networks at the
same time; the first network whose role is to estimate the
output current which corresponds to the maximum power,
and the second is used to estimate the voltage which
corresponds to the maximum power too[28].
However, if the steps of the algorithm are tracking
speed has been increased, as has the accuracy. and
rapidity are increased (dPpv/dVpv>0), but with high
increasing in the oscillation, resulting in comparatively
low performance and vice versa, In this paper, an AMPO
algorithm method is dedicated to find a simple
implantation in comparison with classical CPOA
algorithm, and the AMPO can be written as follows:
u() = Uc( – 1) + sign(P), (12)
where  is fixed step and Uc is the voltage control;
P = P() – P( – 1),
if P > 0 then increase Uc, else P < 0 decrease Uc.
A power of the panel (Ppv) sensor is connected to the
P&O algorithm unit in order to detect the power in state 
and compare it with next value (+1). At a certain point,
when the difference between Ppv() and Ppv( +1) is ΔPpv
then the algorithm will recognize that there is a powerful
change and the algorithm should start from the beginning
(). The value of u() (u is voltage control of P&O) is set
to depend on the value of  of the ΔPpv criteria and it is
different from irradiation values of PV, the ΔPpv/ΔVpv
change value around at point MPP, the duty cycle follows
this change, view the duty cycle varying between values
positive, zeros, negative.
In this article, we replace this variation of power
u( +1) show in equation (12) by function sign(Ppv) play
the role of conventional step of algorithm P&O, with
rapidly responses, equation (13) can be written in the
following form:
 












;
0
1
;
0
0
;
0
1
sign
pv
pv
pv
pv
P
if
P
if
P
if
P (13)
The adding the variation of power (ΔPpv) and
voltage (ΔVpv) can be whiten equation (13) as follow:
 




















.
0
1
;
MPP
at
0
0
;
0
1
sign
pv
pv
pv
pv
pv
pv
pv
pv
V
P
if
V
P
if
V
P
if
V
P (14)
Equation (14) can be written as follow:
 = sign{(Ppv() – Ppv(+1))(Vpv() – Vpv(+1))}. (15)
To simplify the writing of equation (15) can be
written in the following form:
 = sign(ΔPpvΔVpv). (16)
State of the voltage control  of AMPO can be
summarized in Table 1.
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ISSN 2074-272X. Electrical Engineering & Electromechanics, 2021, no. 5 61
Table 1
Variation of MPP in algorithm
sign(ΔPpv()) sign(ΔPpv(+1))  u duty cycle State of MPOA
–1 –1 –2 +1 Left MPP
–1 +1 0 0 at MPP
+1 –1 0 0 at MPP
+1 +1 +2 +1 Right MPP
The Table 1 presented the variation of MPP point in
algorithm by 4 cases:
 Case 1. If state of changing algorithm is
sign(ΔPpv()) = –1, then sign(ΔPpv(+1)) = –1, and  = –2,
the MPP moving to left; there for u = +1, to increase
power of PV (Ppv).
 Case 2. If state of changing algorithm is
sign(ΔPpv()) = +1, then sign(ΔPpv(+1)) = –1, and  = 0,
at point MPP; there for u = 0, no changing in the power of
PV (Ppv).
 Case 3. If state of changing algorithm is
sign(ΔPpv()) = –1, then sign(ΔPpv(+1)) = +1, and  = 0,
at point MPP; there for u = 0, no changing in the power of
PV (Ppv).
 Case 4. If state of changing algorithm is
sign(ΔPpv()) = +1, then sign(ΔPpv(+1)) = +1, and  = +2,
the MPP moving to right; there for u = +1, to decrease
power of PV (Ppv).
After this case the variation of δ and u can be
thought in AMPO-ANN for desired voltage regulation
(for regulate the desire voltage), as shown in Fig. 8.
The value of δ presented the variation of power of
panel ΔPpv we can add to value of duty cycle u for adjust
at point MPP can be written as follow:
u() = u() + u( + 1). (16)
After equations (15) – (17) can be designing the
flow chart of the MPOA algorithm modified shown in
Fig. 8 and presented a new step has determined by
previous equation.
Measurement
VPV (+1), IPV(+1), PPV (+1)
Initialisation values
VPV(), IPV(), PPV()
u()= u() + δu(+1)
VPV() = VPV(+1)
IPV() = IPV(+1) Return
δ=sign(ΔVPV (+1)ΔPPV(+1))
ANN
Fig.8. Flowchart of the adaptive ANN-AMPO
Simulation of proposed system. The simulation of
the Intelligent Maximum Power Point Tracking (IMPPT)
based on AMPO-ANN makes it possible to verify that
neural networks approach, after learning is effectively
capable of predicting the desired output for the values of
the data at the input which are not used during learning.
We should always compare the true exit from the
trajectory of neural networks with the trajectory of the
model of PV cells.
The simulations results given in Fig. 9 and represent
the electrical characteristics of the stand-alone PV system
controlled by AMPO-ANN under standard climatic
conditions (1000 W/m² and 25 °C). The powers obtained
from the proposed technique stabilize in a steady state
around the optimal values delivered by PV (Pmpp = 111 W,
Vmpp = 26 V and Impp = 4.4 A); AMPO controller allows
us for parts per million (PPM) to be attained in 0.06 s,
whilst the ANN algorithm allows for PPM to be obtained
in 0.02 s only. In addition Fig. 9 shows that in steady state
the maximum power supplied by the PV system
controlled by the AMPO-ANN is more stable and closer
to the PPM compared to AMPO control; the AMPO
control give a power oscillates around the MPP which
resulting in power losses.
From Fig. 9,a we observe that Ppv takes 0.02 s in
transient state to stabilize at a steady – state value which
is MPP in the neighborhood of 111 W.
Figure 9,b summarizes a comparison between the
MPPT of PV output power controlled by AMPO and
AMPO-ANN. We see that the power generalized based
on AMPO algorithm has more pikes and is more oscillate
compared to the improved technique based on ANN.
0 0.2 0.4 0.6 0.8 1
0
50
100
AMPO
AMPO-ANN
t, s
Ppv, W
a
0.43 0.44 0.45 0.46
109.5
110
110.5
111
111.5
AMPO
AMPO-ANN
t, s
Ppv, W
b
Fig. 9. a – power of PV (AMPO-ANN);
b – zoom power of PV (AMPO-ANN)
From Fig. 10 we observe the during the period from
0 s to 0.05 s the voltage decreases with significant
oscillations, then it stabilizes at the maximum value 26 V.
Figure 11 shows the load current curve based on
AMPO-ANN techniques, we note that its value in steady
state stabilizes around 4.4 A.
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62 ISSN 2074-272X. Electrical Engineering & Electromechanics, 2021, no. 5
0 0.2 0.4 0.6 0.8 1
0
10
20
30
t, s
Vpv, V
Fig. 10. Voltage of PV (AMPO-ANN)
0 0.2 0.4 0.6 0.8 1
0
1
2
3
4
5
t, s
Ipv, A
Fig. 11. Current of PV (AMPO-ANN)
In order to verify the robustness and the reliability of
the proposed method, we will test the performance of
AMPO-ANN by performing separately under climate
condition variation, we make variations on solar
irradiation and we assume that the temperature is a
constant equal to 25 °C, where we suppose that the
irradiation drops from 500 to 1000 W/m2
, at 0.5 s.
According Fig. 12 we note that the maximum power
delivered by the PV varies proportionally with irradiation.
When the irradiation is 500 W the Ppv stabilizes around 38 W.
But when the sun goes from 500 to 1000 W/m² the Ppv
rises to 111 W.
In addition, the simulation result presented by Fig. 9,
shows that the AMPO-ANN represent better
performances compared to AMPO; since they converge
quickly towards the new Pmpp with reduced the chattering.
Figures 13, 14 show current and voltage of PV based on
AMPO-ANN techniques respectively.
0 0.2 0.4 0.6 0.8 1
0
20
40
60
80
100
120
t, s
Ppv, W
Fig. 12. Power of PV (AMPO-ANN)
0 0.2 0.4 0.6 0.8 1
0
1
2
3
4
5
t, s
Ipv, A
Fig. 13. Current of PV (AMPO-ANN)
0 0.2 0.4 0.6 0.8 1
0
10
20
30
t, s
Vpv, V
Fig. 14. Voltage of PV (AMPO-ANN)
We will test the performances of the AMPO-ANN
algorithm previously developed with the purpose of the
grid connection and the climatic conditions are fixed in
standard conditions, then connect the PV system to the
electrical networks. Figure 15 shows the simulation
results. We observe better results for Imes (current
measured by the network), Ich (load current) also the
three-phase currents Ia, Ib, Ic (Fig. 16).
0 0.2 0.4 0.6 0.8 1
-2
-1
0
1
2
I
a
I
b
I
c
t, s
I, A
a
0.2 0.22 0.24 0.26 0.28 0.3
-2
-1
0
1
2
t, s
I, A Ia Ib Ic
b
Fig. 15. a – three-phase currents (AMPO-ANN);
b – zoom three-phase currents (AMPO-ANN).
0 0.2 0.4 0.6 0.8 1
-2
-1
0
1
2
Ich
Imes
t, s
I, A Ich Imes
a
0.2 0.21 0.22 0.23 0.24
-2
-1
0
1
2
Ich
Imes
t, s
I, A Ich Imes
b
Fig. 16. a – current Ich and Imes (AMPO-ANN);
b – zoom current Ich and Imes (AMPO-ANN)
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ISSN 2074-272X. Electrical Engineering & Electromechanics, 2021, no. 5 63
The results confirm the correct functioning of the
two controllers AMPO and AMPO-ANN, but also show a
better functioning of the AMPO-ANN. The latter has
proven to have better performance, fast response time and
very low, steady state error, and it is robust to variations
in atmospheric conditions.
Experimental results. The proposed AMPO-ANN
controller has been put to the test in order to improve its
performance. Instead of a solar panel, an experimental
setup of a system made of a PV emulator coupled to a
DC-DC converter is shown in Fig. 17. LA-25NP and
LV-25P are sensors of the current Ipv and voltage Vpv. The
proposed control is implemented on the dSPACE
DS1104.
 
DS1104 dSPACE
Master : Power PC 604e
Slave : DSPTMS320F240
Interface
Load
PV Array Emulator
Voltage & current sensors
(LEM) AC-DC
&
DC-DC
Converter
Voltage & current sensors
(LEM)
Software Model of
PV-Array
Irradiation Temperature
Emulator control
PWM
DAC
Fig. 17. Structure of the laboratory setup
In the simulation part we assume that all
components are perfect (simplifying assumptions, losses
and switching phenomena are ignored), so the DC-DC &
AC-DC converters has an almost perfect operation.
On the other hand, the tests which we carried out in
the laboratory take into account the saturation of the used
components and the switching phenomena, these tests
consist to validating the proposed technique which
applied to a DC-DC converter then connected to an
AC-DC converter (inverter).
From Fig. 18-20 we observe that Ppv takes 0 s in
transient state to stabilize at a steady – state value which
is MPP in the neighborhood of 100 W, current and
voltage also taken point MPP at values 3.4 A and 29 V.
t, s
Ppv, W
50
100
0
10
0 20 30
Fig. 18. Power of PV (AMPO-ANN)
t, s
Ipv, A
5
0
10
0 20 30
Fig. 19. Current of PV (AMPO-ANN)
t, s
Vpv, V
10
0
10
0 20 30
20
30
Fig. 20. Voltage of PV (AMPO-ANN)
We will test the performances of the AMPO-ANN
algorithm previously developed with the purpose of the
grid connection and the climatic conditions are fixed in
standard conditions, then connect the PV system to the
electrical networks. Figures 21, 22 show the experimental
results. We observe better results for I (current measured
by the network), VAC (load voltage), also single phase of
current and voltage.
t, s
VAC, V
0
10
0
20
40
–40
–20
20 30
Fig. 21. Voltage of AC bus (AMPO-ANN)
t, s
I, A
10
0
0.1
0
–0.1
–0.2
20 30
Fig. 22. Current of AC bus (AMPO-ANN)
The Figures 23-27 show the results of realizing the
output power of the PV, its operating voltage and current,
and the duty cycle (at the frequency of 3000 Hz) for the
AMPO-ANN and the conventional disturbance and
observation (P&O) AMPO-ANN using a converter and
inverter environmental conditions. It is clearly seen how
the AMPO-ANN algorithm reduces the response time of
the PV system. Obviously, the system with AMPO has a
great loss of energy in the transient state, that when the
increase in power is the result of the increase in
illumination in sinusoidal form between 500 W/m2
and
1000 W/m2
, the reversal of the direction of illumination
produced by the AMPO-ANN algorithm causes the
increase of the power at the MPP point to 101 W and at
the same time the output voltage of the inverter, the
output voltage VAC is 28 V and current at 0.15 A are
illuminate also the harmonics in grid connected, the MPP
starts close to the operating point, but the P&O algorithm
detects that and moves the operating point in the right
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64 ISSN 2074-272X. Electrical Engineering & Electromechanics, 2021, no. 5
direction. The AMPO-ANN algorithm gives a better
result than the classic algorithm AMPO.
t, s
Ppv, W
10
0
0
20 30
50
100
Fig. 23. Power of PV (AMPO-ANN)
t, s
Ipv, A
10
0
0
20 30
2
4
Fig. 24. Current of PV (AMPO-ANN)
t, s
Vpv, V
0
10
0
10
20
30
20 30
Fig. 25.Voltage of PV (AMPO-ANN)
t, s
VAC, V
0
10
0
20
40
20 30
–20
–40
Fig. 26. Voltage of AC bus (AMPO-ANN)
t, s
I, A
10
0
0.05
0
20 30
0.1
–0.05
–0.1
–0.15
Fig. 27. Current of AC bus (AMPO-ANN)
Conclusions.
We analyzed the electrical functioning of a
photovoltaic system, adapted by DC-DC converter,
regulated by an maximum power point tracking
command, to control maximum power point tracking of a
photovoltaic system based on neural networks were
presented and its architecture of neural networks was
used. The simulation and validation results show that this
system can adapt the maximum operating point for
variations in external disturbances.
We can say that artificial neural networks are
efficient and powerful modeling tools, their robustness
lies in the possibility of predicting the output of the
network even if the relationship with the input is not
linear.
The purpose of the modified algorithm adaptive
modified perturbation and observation – artificial neural
network is to reduce oscillation and achieve a high
response of the output power in response to changing
weather conditions and parameter variations. All of the
results show that the proposed technique control and our
improved maximum power point tracking approach are
effective.
Funding. This work was supported by the Franco-
Algerian cooperation program PHC-Maghreb.
Acknowledgement. The authors would like to thank
laboratory teams of research Propulsion Systems –
Electromagnetic Induction, LSPIE, University of Batna 2,
Batna, Algeria.
Conflict of interest. The authors declare that they
have no conflicts of interest.
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Received 17.07.2021
Accepted 05.09.2021
Published 26.10.2021
Hamza Sahraoui1,3
, Doctor of Engineering,
Hacene Mellah2
, Doctor of Engineering,
Said Drid3
, Professor, Dr.-Ing. of Engineering,
Larbi Chrifi-Alaoui4
, Dr.-Ing. of Engineering,
1
Electrical Engineering Department,
Hassiba Benbouali University of Chlef,
B.P 78C, Ouled Fares Chlef 02180, Chlef, Algeria,
e-mail: hamzasahraoui@gmail.com
2
Electrical Engineering Department,
University Akli Mouhand Oulhadj-Bouira,
Rue Drissi Yahia Bouira, 10000, Algeria,
e-mail: has.mel@gmail.com (Corresponding author)
3
Research Laboratory LSPIE,
Electrical Engineering Department,
University of Batna 2,
53, Route de Constantine, Fésdis, Batna 05078, Algeria,
e-mail: saiddrid@ieee.org
4
Laboratoire des Technologies Innovantes (LTI),
University of Picardie Jules Verne, IUT de l'Aisne,
13 Avenue François Mitterrand 02880 Cuffies-Soissons, France,
e-mail: larbi.alaoui@u-picardie.fr
How to cite this article:
Sahraoui H., Mellah H., Drid S., Chrifi-Alaoui L. Adaptive maximum power point tracking using neural networks for a photovoltaic
systems according grid. Electrical Engineering & Electromechanics, 2021, no. 5, pp. 57-66. doi: https://doi.org/10.20998/2074-
272X.2021.5.08.
Electronic copy available at: https://ssrn.com/abstract=3945562

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Adaptive maximum power point tracking using neural networks for a photovoltaic systems according grid

  • 1. Power Stations, Grids and Systems ISSN 2074-272X. Electrical Engineering & Electromechanics, 2021, no. 5 57 © H. Sahraoui, H. Mellah, S. Drid, L. Chrifi-Alaoui UDC 621.3 https://doi.org/10.20998/2074-272X.2021.5.08 H. Sahraoui, H. Mellah, S. Drid, L. Chrifi-Alaoui ADAPTIVE MAXIMUM POWER POINT TRACKING USING NEURAL NETWORKS FOR A PHOTOVOLTAIC SYSTEMS ACCORDING GRID Introduction. This article deals with the optimization of the energy conversion of a grid-connected photovoltaic system. The novelty is to develop an intelligent maximum power point tracking technique using artificial neural network algorithms. Purpose. Intelligent maximum power point tracking technique is developed in order to improve the photovoltaic system performances under the variations of the temperature and irradiation. Methods. This work is to calculate and follow the maximum power point for a photovoltaic system operating according to the artificial intelligence mechanism is and the latter is used an adaptive modified perturbation and observation maximum power point tracking algorithm based on function sign to generate an specify duty cycle applied to DC-DC converter, where we use the feed forward artificial neural network type trained by Levenberg-Marquardt backpropagation. Results. The photovoltaic system that we chose to simulate and apply this intelligent technique on it is a stand- alone photovoltaic system. According to the results obtained from simulation of the photovoltaic system using adaptive modified perturbation and observation – artificial neural network the efficiency and the quality of the production of energy from photovoltaic is increased. Practical value. The proposed algorithm is validated by a dSPACE DS1104 for different operating conditions. All practice results confirm the effectiveness of our proposed algorithm. References 37, table 1, figures 27. Key words: artificial neural network, grid-connected, adaptive modified perturbation and observation, artificial neural network-maximum power point tracking. Вступ. У статті йдеться про оптимізацію перетворення енергії фотоелектричної системи, підключеної до мережі. Новизна полягає у розробці методики інтелектуального відстеження точок максимальної потужності з використанням алгоритмів штучної нейронної мережі. Мета. Методика інтелектуального відстеження точок максимальної потужності розроблена з метою поліпшення характеристик фотоелектричної системи в умовах зміни температури та опромінення. Методи. Робота полягає в обчисленні та відстеженні точки максимальної потужності для фотоелектричної системи, що працює відповідно до механізму штучного інтелекту, і в останній використовується адаптивний модифікований алгоритм збурення та відстеження точок максимальної потужності на основі знаку функції для створення заданого робочого циклу стосовно DC-DC перетворювача, де ми використовуємо штучну нейронну мережу типу «прямої подачі», навчену зворотному розповсюдженню Левенберга-Марквардта. Результати. Фотоелектрична система, яку ми обрали для моделювання та застосування цієї інтелектуальної методики, є автономною фотоелектричною системою. Відповідно до результатів, отриманих при моделюванні фотоелектричної системи з використанням адаптивних модифікованих збурень та спостереження – штучної нейронної мережі, ефективність та якість виробництва енергії з фотоелектричної енергії підвищується. Практична цінність. Запропонований алгоритм перевірено dSPACE DS1104 для різних умов роботи. Усі практичні результати підтверджують ефективність запропонованого нами алгоритму. Бібл. 37, табл. 1, рис. 27. Ключові слова: штучна нейронна мережа, підключена до мережі, адаптивне модифіковане збурення та спостереження, штучна нейронна мережа-відстеження точки максимальної потужності. Introduction. Nowadays, the electric power generation mainly uses fossil and fissile (nuclear) fuels. The widespread use of fossil fuels, such as gasoline, coal or natural gas, allows for low production prices. On the other hand, their use results in a large release of greenhouse gases and polluting gases. Electricity production from fossil fuels has a great responsibility for global CO2 emissions, hence pollution, according to the last International Energy Agency report [1]. Nuclear power, which does not directly release carbon dioxide, the risks of accident linked to their exploitation are very low but the consequences of an accident would be disastrous. Although the risks of accident linked to their exploitation are very low, but the consequences of an accident would be disastrous and we must not forget the Fukushima Daiichi nuclear disaster in Japan. Furthermore, the treatment of waste from this mode of production is very expensive; the radioactivity of the treated products remains high for many years [2], that’s what prompted to the propose a nuclear plant waste management policies and strategies [2], and some researcher suggests to build a regional and global nuclear security system [3]. Finally, uranium reserves are like those of limited oil [4]. Although the world is in surplus in electricity production today, the future is therefore not promising on fossil fuel resources whose reserves are constantly decreasing and whose prices fluctuate enormously depending on the economic situation [5]. The future preparations in the fields of energy production to satisfy the humanity needs should be foreseen today, in order to be able to gradually face the inevitable energy changes. Each innovation and each breakthrough in research will only have repercussions in about ten years at best, the time to carry out the necessary tests and to consider putting into production without risk for the user as much for his own health than for its electrical installations, to avoid the problems of pollution in the production of electricity, alternative solutions can be photovoltaic (PV), wind, or even hydroelectric sources [4, 5]. The use of PV solar energy seems to be a necessity for the future. Indeed, solar radiation constitutes the most abundant energy resource on earth. The amount of energy released by the Sun, for one hour could be enough to cover global energy needs for a year, for that we should better exploit this energy and optimize its collection by PV collectors [6]. The basic element of a PV system is the solar panel which is made up of photosensitive cells connected to each other. Each cell converts the rays from the Sun into continuous type electricity. PV panels have a specific highly non-linear electrical characteristic which appears clearly in the current-voltage and power-voltage curves [7]. Its electrical characteristics have a particular point Electronic copy available at: https://ssrn.com/abstract=3945562
  • 2. 58 ISSN 2074-272X. Electrical Engineering & Electromechanics, 2021, no. 5 called Maximum Power Point (MPP). This point is the optimal operating point for which the panel operates at its maximum power, MPP is highly dependent on climatic conditions and load, which makes the position of the MPP variable over time and therefore difficult to locate [8]. A Maximum Power Point Tracking (MPPT) control is associated with an intermediate adaptation stage, allowing the PV to operate at the MPP so as to continuously produce the maximum power of PV, whatever the weather conditions (temperature and irradiation), and whatever the charge. The converter control places the system at MPP this point defined by current Impp and voltage Vmpp. There are several MPPT techniques that aim to extract maximum power from the solar cells outputs [9-12] the interested reader is referred to [11] for more details. Classic techniques such as the Incremental Conductance technique and Perturbation and Observation (P&O) technique, these two methods are the most used and easy to implement methods but have drawbacks [10-13]. New techniques based on artificial intelligence, such as Fuzzy Logic Control [14, 15] Squirrel Search Algorithm [16], Particle Swarm Optimization [17], Levy Flight Optimization [12], Artificial Neural Networks (ANN) [18, 19], and other propose a hybrid techniques [20-23]. The methods based on ANN allow solving non- linear problems and more complicated by a very fast way since they are represented by non-linear mathematical functions [24]. A different ANN-MPPT algorithm for maximization of power PV production have been studied in many research papers [18, 19, 25]. Messalti et al. in [19] proposes with experimental validation two versions of ANN-MPPT controllers either with fixed or variable step. The aim of their works was to propose an optimal MPPT controller based on neural network for used it in the PV system. Different operating climatic conditions are investigated in the ANN training step in order to improve, tracking accuracy, response time and reduce a chattering. Kumar et al. in [26] propose two Neural Networks (NN) in the purpose of PV grid-connected with multi- objective and distributed system; one is for assuring MPPT and the other for the generation of reference currents; the NN used for MPPT is based on hill climbing learning algorithm, and use a NN version of a Power Normalized Kernel Least Mean Fourth algorithm control (PNKLMF-NN) to generate a reference currents. Tavakoliel al. in [27] propose an intelligent method for MPPT control in PV systems, this study establishes a two-level adaptive control framework to increase its efficiency by facilitating system control and efficiently handling uncertainties and perturbations in PV systems and the environment; where the ripple correlation control is the first level of control and the second level is based on an adaptive controller rule for the Model Reference Adaptive Control system and is derived through the use of a self-constructed Lyapunov neural network. However, this approach did not been applied in the purpose of grid connected PV system. In [28] the authors have made a new technique – a Adaptive Modified Perturbation and Observation (AMPO), which reduces the MPP search steps this last based on the function which widely used in sliding mode control sign function, by this technique of reducing the calculation time and the chattering; compared to classic P&O technique. Many authors study the issues of PV system grid connection [26], [29-31]. Slama et al. in [29] offer a clever algorithm for determining the best hours to switch between battery and PVs, on the other hand, Belbachir et al. in [30] seeks the optimal integration, both for distributed PVs and for the batteries, other deal with the management of electricity consumption [31]. In this paper, we propose an adaptive P&O algorithm technique based on neural network with the PV system to increase the power of PV and operate at MPP, whatever the climatic variation such as the radiation and the temperature, according a grid demand. The main contribution of this work is to present an Adaptive Modified Perturbation and Observation – Artificial Neural Networks (AMPO-ANN) based on the sign function which simplifies and reduces the step and time of calculating MPPT point which allows minimizing both the calculation time, the structure of the classic P&O algorithm and the AMPO-ANN designing. Furthermore, in the purpose of real-time application the major problem in a neural network framework is the large size of the created program who add a difficult to implant, especially for the realization of a complex system with small time constant. We are mainly interested in the development of a control system based on ANN which allows the continuation of the MPP by simulation and experiments, which allows increasing the performance of the neural MPPT chart compared to the other maximization methods. Figure 1 below presents a proposed system of control. β T ipv Vpv iout u Vout Converter DC-DC Vin PV ANN . Inverter DC/AC Three –phase Grid AC Load LC Filter Fig. 1. Schematic diagram of the PV system under study with AMPO-ANN strategy The goal of the paper is to develop a technique of maximization power point tracking search based on the function sign which simplifies and reduces the step size and the computation time of the maximum power point tracking point which minimize both calculation time. Subject of investigations. This paper is valid power maximization technique-based neurons networks by a test bench with a dSPACE DS1104. Description and modeling of proposed PV system. Equation (1) describes the PV cell model, this model (Fig. 2) can be definite by the application of standard data given by the manufacturer. The equivalent circuit for PV cell is presented as follow [32]. The typical equation for a single-diode of PV panel is as follows: Electronic copy available at: https://ssrn.com/abstract=3945562
  • 3. ISSN 2074-272X. Electrical Engineering & Electromechanics, 2021, no. 5 59 sh pv s pv aV I R V s ph pv R I R V e I I I T pv s pv                 1 , (1) where Ipv is the current generated by PV panel; Iph is the generated photo-current; Is is the current of saturation; Vpv is the voltage of PV panel; Rs is the array’s equivalent series resistance; a is the constant of the ideal diode VD; VT is the thermal voltage of PV (VT = KT/q, where K is the Boltzmann’s constant; T is the temperature of PV; q is the charge of an electron); Rsh is the array’s equivalent parallel resistance. Iph Rs Rsh VPV VD Is Ish I0 Fig. 2. The PV cell equivalent circuit Figures 3 and 4 illustrate the PV panel’s characteristics as they change; both temperatures between 25 to 75 C and irradiation between 200 to 1000 W/m2 respectively. Left MPP Right MPP 0 5 10 15 20 25 Vpv, V 0 10 20 30 40 50 60 70 Ppv, W Fig. 3. Characteristics P = f(V) of the PV panel under variation of temperature Ppv, W 0 10 20 30 40 50 60 70 80 90 0 5 10 15 20 25 Vpv, V Fig. 4. Characteristics P = f(V) of the PV panel under irradiation variation Buck converter modeling. The load is connected to the DC bus via a DC-DC buck power converter [33] (Fig. 5), which allows it to be controlled. Vin VD Q L iL IC C IR R Vout Fig. 5. Buck converter To model the converter, state space average equations are employed, as shown in the equation (2) [34]        , ; 2 3 1 2 2 2 1 1 1 x k x k x x k uV k x in   (2) where u is duty cycle and k1 = 1/L; k2 = 1/C; k3 = 1/RC. The steady state is given by [x1 x2] = [iL Vout]. (3)  The DC/AC inverter model. Figure 6 presents the structure of three-phase voltage source inverter (VSI). Fig. 6. Structure of a three-phase VSI The switching function is Cii = A, B, C as bellow[35]:  if Ci = 1, then Ki is OFF and Ki is ON;  if Ci = 0, then Ki is ON and Ki is OFF. The outputs voltage of the inverter UAB, UBC, UCA can be write as:            . ; ; Ao Co CA Co Bo BC Bo Ao AB U U U U U U U U U (4) Since the phase voltages are star-connected to load sum to zero, equation (4) can be written:                      . 3 1 ; 3 1 ; 3 1 BC CA Cn AB BC Bn CA AB An U U U U U U U U U (5) For the phase-to-neutral voltages of a star-connected load obtain this model:            . ; ; Co no Cn Bo no Bn Ao no An U U U U U U U U U (6) and we conclude that:   Co Bo Ao no U U U U    3 1 . (7) Electronic copy available at: https://ssrn.com/abstract=3945562
  • 4. 60 ISSN 2074-272X. Electrical Engineering & Electromechanics, 2021, no. 5 For ideal switching can be obtained: Uio = CiUc – Uc /2, (8) with                  . 5 , 0 ; 5 , 0 ; 5 , 0 C C Co C B Bo C A Ao U C U U C U U C U (9) Substitution of (6) into (7) obtain [30]:                     . 3 2 3 1 3 1 ; 3 1 3 2 3 1 ; 3 1 3 1 3 2 Co Bo Ao Cn Co Bo Ao Bn Co Bo Ao An U U U U U U U U U U U U (10) Setting (9) with (10), obtain: . 2 1 1 1 2 1 1 1 2 3 1                                       C B A C Cn Bn An C C C U U U U (11) The Conventional P&O Algorithm (CPOA). In the P&O process the voltage is increased or decreased with a defined step size in the direction of reaching the MPP. The method is carried out again and again till the MPP is attained. In steady condition the operational point oscillates about the MPP, the oscillation is highly dependent on step size, so that when using a small step size, it can reduce volatility but can reduce system dynamics as well. On the other hand, while using a large step size it can improve system dynamics, but it can increase volatility around MPP as well [36]. Figure 7 illustrates the flowchart of the CPOA algorithm. AMPO-ANN algorithm. Many MPPT approaches have recently been created and developed. In terms of accuracy, for real time implementation the P&O MPPT method is more practical than other MPPTs because it is easier to implement [38]. The P&O MPPT technique is primarily based on the perturbation of the PV output voltage V(t) and related output power P(t), which is compared to the prior perturbation P(t +1). Keep the next voltage shift in the same direction as the previous one if the power increases. Measurement VPV (K+1) IPV (K+1) Initialisation values VPV (K) IPV (K), PPV(K) Measurement PGPV (K+1) PPV(K+1) > PPV(K) PPV(K)-PPV(K+1)>0 VPV(K+1)> VPV(K) u=u-Δu u=u-Δu u=u+Δu u=u+Δu VPV(K)=VPV(K+1) IPV(K)=IPV(K+1) Yes Yes Yes No No No Yes Return VPV(K+1)> VPV(K) Conventional steps Fig.7. Flowchart of the CPOA algorithm Artificial intelligence is used in many areas of research, and ANN is a bright and promising part of these technologies, where process control and monitoring, recognition of patterns, power electronics, finance and economics, and medical diagnosis are only a few of the applications where ANNs have proven their worth [37]. In this paper, we will use two neural networks at the same time; the first network whose role is to estimate the output current which corresponds to the maximum power, and the second is used to estimate the voltage which corresponds to the maximum power too[28]. However, if the steps of the algorithm are tracking speed has been increased, as has the accuracy. and rapidity are increased (dPpv/dVpv>0), but with high increasing in the oscillation, resulting in comparatively low performance and vice versa, In this paper, an AMPO algorithm method is dedicated to find a simple implantation in comparison with classical CPOA algorithm, and the AMPO can be written as follows: u() = Uc( – 1) + sign(P), (12) where  is fixed step and Uc is the voltage control; P = P() – P( – 1), if P > 0 then increase Uc, else P < 0 decrease Uc. A power of the panel (Ppv) sensor is connected to the P&O algorithm unit in order to detect the power in state  and compare it with next value (+1). At a certain point, when the difference between Ppv() and Ppv( +1) is ΔPpv then the algorithm will recognize that there is a powerful change and the algorithm should start from the beginning (). The value of u() (u is voltage control of P&O) is set to depend on the value of  of the ΔPpv criteria and it is different from irradiation values of PV, the ΔPpv/ΔVpv change value around at point MPP, the duty cycle follows this change, view the duty cycle varying between values positive, zeros, negative. In this article, we replace this variation of power u( +1) show in equation (12) by function sign(Ppv) play the role of conventional step of algorithm P&O, with rapidly responses, equation (13) can be written in the following form:               ; 0 1 ; 0 0 ; 0 1 sign pv pv pv pv P if P if P if P (13) The adding the variation of power (ΔPpv) and voltage (ΔVpv) can be whiten equation (13) as follow:                       . 0 1 ; MPP at 0 0 ; 0 1 sign pv pv pv pv pv pv pv pv V P if V P if V P if V P (14) Equation (14) can be written as follow:  = sign{(Ppv() – Ppv(+1))(Vpv() – Vpv(+1))}. (15) To simplify the writing of equation (15) can be written in the following form:  = sign(ΔPpvΔVpv). (16) State of the voltage control  of AMPO can be summarized in Table 1. Electronic copy available at: https://ssrn.com/abstract=3945562
  • 5. ISSN 2074-272X. Electrical Engineering & Electromechanics, 2021, no. 5 61 Table 1 Variation of MPP in algorithm sign(ΔPpv()) sign(ΔPpv(+1))  u duty cycle State of MPOA –1 –1 –2 +1 Left MPP –1 +1 0 0 at MPP +1 –1 0 0 at MPP +1 +1 +2 +1 Right MPP The Table 1 presented the variation of MPP point in algorithm by 4 cases:  Case 1. If state of changing algorithm is sign(ΔPpv()) = –1, then sign(ΔPpv(+1)) = –1, and  = –2, the MPP moving to left; there for u = +1, to increase power of PV (Ppv).  Case 2. If state of changing algorithm is sign(ΔPpv()) = +1, then sign(ΔPpv(+1)) = –1, and  = 0, at point MPP; there for u = 0, no changing in the power of PV (Ppv).  Case 3. If state of changing algorithm is sign(ΔPpv()) = –1, then sign(ΔPpv(+1)) = +1, and  = 0, at point MPP; there for u = 0, no changing in the power of PV (Ppv).  Case 4. If state of changing algorithm is sign(ΔPpv()) = +1, then sign(ΔPpv(+1)) = +1, and  = +2, the MPP moving to right; there for u = +1, to decrease power of PV (Ppv). After this case the variation of δ and u can be thought in AMPO-ANN for desired voltage regulation (for regulate the desire voltage), as shown in Fig. 8. The value of δ presented the variation of power of panel ΔPpv we can add to value of duty cycle u for adjust at point MPP can be written as follow: u() = u() + u( + 1). (16) After equations (15) – (17) can be designing the flow chart of the MPOA algorithm modified shown in Fig. 8 and presented a new step has determined by previous equation. Measurement VPV (+1), IPV(+1), PPV (+1) Initialisation values VPV(), IPV(), PPV() u()= u() + δu(+1) VPV() = VPV(+1) IPV() = IPV(+1) Return δ=sign(ΔVPV (+1)ΔPPV(+1)) ANN Fig.8. Flowchart of the adaptive ANN-AMPO Simulation of proposed system. The simulation of the Intelligent Maximum Power Point Tracking (IMPPT) based on AMPO-ANN makes it possible to verify that neural networks approach, after learning is effectively capable of predicting the desired output for the values of the data at the input which are not used during learning. We should always compare the true exit from the trajectory of neural networks with the trajectory of the model of PV cells. The simulations results given in Fig. 9 and represent the electrical characteristics of the stand-alone PV system controlled by AMPO-ANN under standard climatic conditions (1000 W/m² and 25 °C). The powers obtained from the proposed technique stabilize in a steady state around the optimal values delivered by PV (Pmpp = 111 W, Vmpp = 26 V and Impp = 4.4 A); AMPO controller allows us for parts per million (PPM) to be attained in 0.06 s, whilst the ANN algorithm allows for PPM to be obtained in 0.02 s only. In addition Fig. 9 shows that in steady state the maximum power supplied by the PV system controlled by the AMPO-ANN is more stable and closer to the PPM compared to AMPO control; the AMPO control give a power oscillates around the MPP which resulting in power losses. From Fig. 9,a we observe that Ppv takes 0.02 s in transient state to stabilize at a steady – state value which is MPP in the neighborhood of 111 W. Figure 9,b summarizes a comparison between the MPPT of PV output power controlled by AMPO and AMPO-ANN. We see that the power generalized based on AMPO algorithm has more pikes and is more oscillate compared to the improved technique based on ANN. 0 0.2 0.4 0.6 0.8 1 0 50 100 AMPO AMPO-ANN t, s Ppv, W a 0.43 0.44 0.45 0.46 109.5 110 110.5 111 111.5 AMPO AMPO-ANN t, s Ppv, W b Fig. 9. a – power of PV (AMPO-ANN); b – zoom power of PV (AMPO-ANN) From Fig. 10 we observe the during the period from 0 s to 0.05 s the voltage decreases with significant oscillations, then it stabilizes at the maximum value 26 V. Figure 11 shows the load current curve based on AMPO-ANN techniques, we note that its value in steady state stabilizes around 4.4 A. Electronic copy available at: https://ssrn.com/abstract=3945562
  • 6. 62 ISSN 2074-272X. Electrical Engineering & Electromechanics, 2021, no. 5 0 0.2 0.4 0.6 0.8 1 0 10 20 30 t, s Vpv, V Fig. 10. Voltage of PV (AMPO-ANN) 0 0.2 0.4 0.6 0.8 1 0 1 2 3 4 5 t, s Ipv, A Fig. 11. Current of PV (AMPO-ANN) In order to verify the robustness and the reliability of the proposed method, we will test the performance of AMPO-ANN by performing separately under climate condition variation, we make variations on solar irradiation and we assume that the temperature is a constant equal to 25 °C, where we suppose that the irradiation drops from 500 to 1000 W/m2 , at 0.5 s. According Fig. 12 we note that the maximum power delivered by the PV varies proportionally with irradiation. When the irradiation is 500 W the Ppv stabilizes around 38 W. But when the sun goes from 500 to 1000 W/m² the Ppv rises to 111 W. In addition, the simulation result presented by Fig. 9, shows that the AMPO-ANN represent better performances compared to AMPO; since they converge quickly towards the new Pmpp with reduced the chattering. Figures 13, 14 show current and voltage of PV based on AMPO-ANN techniques respectively. 0 0.2 0.4 0.6 0.8 1 0 20 40 60 80 100 120 t, s Ppv, W Fig. 12. Power of PV (AMPO-ANN) 0 0.2 0.4 0.6 0.8 1 0 1 2 3 4 5 t, s Ipv, A Fig. 13. Current of PV (AMPO-ANN) 0 0.2 0.4 0.6 0.8 1 0 10 20 30 t, s Vpv, V Fig. 14. Voltage of PV (AMPO-ANN) We will test the performances of the AMPO-ANN algorithm previously developed with the purpose of the grid connection and the climatic conditions are fixed in standard conditions, then connect the PV system to the electrical networks. Figure 15 shows the simulation results. We observe better results for Imes (current measured by the network), Ich (load current) also the three-phase currents Ia, Ib, Ic (Fig. 16). 0 0.2 0.4 0.6 0.8 1 -2 -1 0 1 2 I a I b I c t, s I, A a 0.2 0.22 0.24 0.26 0.28 0.3 -2 -1 0 1 2 t, s I, A Ia Ib Ic b Fig. 15. a – three-phase currents (AMPO-ANN); b – zoom three-phase currents (AMPO-ANN). 0 0.2 0.4 0.6 0.8 1 -2 -1 0 1 2 Ich Imes t, s I, A Ich Imes a 0.2 0.21 0.22 0.23 0.24 -2 -1 0 1 2 Ich Imes t, s I, A Ich Imes b Fig. 16. a – current Ich and Imes (AMPO-ANN); b – zoom current Ich and Imes (AMPO-ANN) Electronic copy available at: https://ssrn.com/abstract=3945562
  • 7. ISSN 2074-272X. Electrical Engineering & Electromechanics, 2021, no. 5 63 The results confirm the correct functioning of the two controllers AMPO and AMPO-ANN, but also show a better functioning of the AMPO-ANN. The latter has proven to have better performance, fast response time and very low, steady state error, and it is robust to variations in atmospheric conditions. Experimental results. The proposed AMPO-ANN controller has been put to the test in order to improve its performance. Instead of a solar panel, an experimental setup of a system made of a PV emulator coupled to a DC-DC converter is shown in Fig. 17. LA-25NP and LV-25P are sensors of the current Ipv and voltage Vpv. The proposed control is implemented on the dSPACE DS1104.   DS1104 dSPACE Master : Power PC 604e Slave : DSPTMS320F240 Interface Load PV Array Emulator Voltage & current sensors (LEM) AC-DC & DC-DC Converter Voltage & current sensors (LEM) Software Model of PV-Array Irradiation Temperature Emulator control PWM DAC Fig. 17. Structure of the laboratory setup In the simulation part we assume that all components are perfect (simplifying assumptions, losses and switching phenomena are ignored), so the DC-DC & AC-DC converters has an almost perfect operation. On the other hand, the tests which we carried out in the laboratory take into account the saturation of the used components and the switching phenomena, these tests consist to validating the proposed technique which applied to a DC-DC converter then connected to an AC-DC converter (inverter). From Fig. 18-20 we observe that Ppv takes 0 s in transient state to stabilize at a steady – state value which is MPP in the neighborhood of 100 W, current and voltage also taken point MPP at values 3.4 A and 29 V. t, s Ppv, W 50 100 0 10 0 20 30 Fig. 18. Power of PV (AMPO-ANN) t, s Ipv, A 5 0 10 0 20 30 Fig. 19. Current of PV (AMPO-ANN) t, s Vpv, V 10 0 10 0 20 30 20 30 Fig. 20. Voltage of PV (AMPO-ANN) We will test the performances of the AMPO-ANN algorithm previously developed with the purpose of the grid connection and the climatic conditions are fixed in standard conditions, then connect the PV system to the electrical networks. Figures 21, 22 show the experimental results. We observe better results for I (current measured by the network), VAC (load voltage), also single phase of current and voltage. t, s VAC, V 0 10 0 20 40 –40 –20 20 30 Fig. 21. Voltage of AC bus (AMPO-ANN) t, s I, A 10 0 0.1 0 –0.1 –0.2 20 30 Fig. 22. Current of AC bus (AMPO-ANN) The Figures 23-27 show the results of realizing the output power of the PV, its operating voltage and current, and the duty cycle (at the frequency of 3000 Hz) for the AMPO-ANN and the conventional disturbance and observation (P&O) AMPO-ANN using a converter and inverter environmental conditions. It is clearly seen how the AMPO-ANN algorithm reduces the response time of the PV system. Obviously, the system with AMPO has a great loss of energy in the transient state, that when the increase in power is the result of the increase in illumination in sinusoidal form between 500 W/m2 and 1000 W/m2 , the reversal of the direction of illumination produced by the AMPO-ANN algorithm causes the increase of the power at the MPP point to 101 W and at the same time the output voltage of the inverter, the output voltage VAC is 28 V and current at 0.15 A are illuminate also the harmonics in grid connected, the MPP starts close to the operating point, but the P&O algorithm detects that and moves the operating point in the right Electronic copy available at: https://ssrn.com/abstract=3945562
  • 8. 64 ISSN 2074-272X. Electrical Engineering & Electromechanics, 2021, no. 5 direction. The AMPO-ANN algorithm gives a better result than the classic algorithm AMPO. t, s Ppv, W 10 0 0 20 30 50 100 Fig. 23. Power of PV (AMPO-ANN) t, s Ipv, A 10 0 0 20 30 2 4 Fig. 24. Current of PV (AMPO-ANN) t, s Vpv, V 0 10 0 10 20 30 20 30 Fig. 25.Voltage of PV (AMPO-ANN) t, s VAC, V 0 10 0 20 40 20 30 –20 –40 Fig. 26. Voltage of AC bus (AMPO-ANN) t, s I, A 10 0 0.05 0 20 30 0.1 –0.05 –0.1 –0.15 Fig. 27. Current of AC bus (AMPO-ANN) Conclusions. We analyzed the electrical functioning of a photovoltaic system, adapted by DC-DC converter, regulated by an maximum power point tracking command, to control maximum power point tracking of a photovoltaic system based on neural networks were presented and its architecture of neural networks was used. The simulation and validation results show that this system can adapt the maximum operating point for variations in external disturbances. We can say that artificial neural networks are efficient and powerful modeling tools, their robustness lies in the possibility of predicting the output of the network even if the relationship with the input is not linear. The purpose of the modified algorithm adaptive modified perturbation and observation – artificial neural network is to reduce oscillation and achieve a high response of the output power in response to changing weather conditions and parameter variations. All of the results show that the proposed technique control and our improved maximum power point tracking approach are effective. Funding. This work was supported by the Franco- Algerian cooperation program PHC-Maghreb. Acknowledgement. The authors would like to thank laboratory teams of research Propulsion Systems – Electromagnetic Induction, LSPIE, University of Batna 2, Batna, Algeria. Conflict of interest. The authors declare that they have no conflicts of interest. REFERENCES 1. International Energy Agency. Global Energy & CO2 Status Report 2019. Available at: https://www.iea.org/reports/global- energy-co2-status-report-2019 (accessed 25 May 2021). 2. Wisnubroto D.S., Zamroni H., Sumarbagiono R., Nurliati G. Challenges of implementing the policy and strategy for management of radioactive waste and nuclear spent fuel in Indonesia. Nuclear Engineering and Technology, 2021, vol. 53, no. 2, pp. 549-561. doi: https://doi.org/10.1016/j.net.2020.07.005. 3. Zhou W., Ibano K., Qian X. Construction of an East Asia Nuclear Security System. In: Zhou W., Qian X., Nakagami K. (eds) East Asian Low-Carbon Community. Springer, Singapore, 2021, pp. 199-214. doi: https://doi.org/10.1007/978-981-33- 4339-9_11. 4. Rahman F.A., Aziz M.M.A., Saidur R., Bakar W.A.W.A., Hainin M.R., Putrajaya R., Hassan N.A. Pollution to solution: Capture and sequestration of carbon dioxide (CO2) and its utilization as a renewable energy source for a sustainable future. Renewable and Sustainable Energy Reviews, 2017, vol. 71, pp. 112-126. doi: https://doi.org/10.1016/j.rser.2017.01.011. 5. Al-Maamary H.M.S., Kazem H.A., Chaichan M.T. The impact of oil price fluctuations on common renewable energies in GCC countries. Renewable and Sustainable Energy Reviews, 2017, vol. 75, pp. 989-1007. doi: https://doi.org/10.1016/j.rser.2016.11.079. 6. Ahmadlouydarab M., Ebadolahzadeh M., Muhammad Ali H. Effects of utilizing nanofluid as working fluid in a lab-scale designed FPSC to improve thermal absorption and efficiency. Physica A: Statistical Mechanics and its Applications, 2020, vol. 540, p. 123109 .doi: https://doi.org/10.1016/j.physa.2019.123109. 7. Abbassi A., Abbassi R., Heidari A.A., Oliva D., Chen H., Habib A., Jemli M., Wang M. Parameters identification of photovoltaic cell models using enhanced exploratory salp chains-based approach. Energy, 2020, vol. 198, p. 117333. doi: https://doi.org/10.1016/j.energy.2020.117333. Electronic copy available at: https://ssrn.com/abstract=3945562
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  • 10. 66 ISSN 2074-272X. Electrical Engineering & Electromechanics, 2021, no. 5 34. Sahraoui H., Drid S., Chrifi-Alaoui L., Hamzaoui M. Voltage control of DC-DC buck converter using second order sliding mode control. 2015 3rd International Conference on Control, Engineering & Information Technology (CEIT), 2015, pp. 1-5. doi: https://doi.org/10.1109/ceit.2015.7233082. 35. Alnejaili T., Drid S., Mehdi D., Chrifi-Alaoui L., Belarbi R., Hamdouni A.. Dynamic control and advanced load management of a stand-alone hybrid renewable power system for remote housing. Energy Conversion and Management, 2015, vol. 105, pp. 377-392. doi: https://doi.org/10.1016/j.enconman.2015.07.080. 36. Ahmed J., Salam Z. An improved perturb and observe (P&O) maximum power point tracking (MPPT) algorithm for higher efficiency. Applied Energy, 2015, vol. 150, pp. 97-108. doi: https://doi.org/10.1016/j.apenergy.2015.04.006. 37. Bouchaoui L., Hemsas K.E., Mellah H., Benlahneche S. Power transformer faults diagnosis using undestructive methods (Roger and IEC) and artificial neural network for dissolved gas analysis applied on the functional transformer in the Algerian north-eastern: a comparative study. Electrical Engineering & Electromechanics, 2021, no. 4, pp. 3-11. doi: https://doi.org/10.20998/2074-272X.2021.4.01. Received 17.07.2021 Accepted 05.09.2021 Published 26.10.2021 Hamza Sahraoui1,3 , Doctor of Engineering, Hacene Mellah2 , Doctor of Engineering, Said Drid3 , Professor, Dr.-Ing. of Engineering, Larbi Chrifi-Alaoui4 , Dr.-Ing. of Engineering, 1 Electrical Engineering Department, Hassiba Benbouali University of Chlef, B.P 78C, Ouled Fares Chlef 02180, Chlef, Algeria, e-mail: hamzasahraoui@gmail.com 2 Electrical Engineering Department, University Akli Mouhand Oulhadj-Bouira, Rue Drissi Yahia Bouira, 10000, Algeria, e-mail: has.mel@gmail.com (Corresponding author) 3 Research Laboratory LSPIE, Electrical Engineering Department, University of Batna 2, 53, Route de Constantine, Fésdis, Batna 05078, Algeria, e-mail: saiddrid@ieee.org 4 Laboratoire des Technologies Innovantes (LTI), University of Picardie Jules Verne, IUT de l'Aisne, 13 Avenue François Mitterrand 02880 Cuffies-Soissons, France, e-mail: larbi.alaoui@u-picardie.fr How to cite this article: Sahraoui H., Mellah H., Drid S., Chrifi-Alaoui L. Adaptive maximum power point tracking using neural networks for a photovoltaic systems according grid. Electrical Engineering & Electromechanics, 2021, no. 5, pp. 57-66. doi: https://doi.org/10.20998/2074- 272X.2021.5.08. Electronic copy available at: https://ssrn.com/abstract=3945562