INTERNATIONAL JOURNAL OF RESEARCH AND SCIENTIFIC INNOVATION (IJRSI)
ISSN No. 2321-2705 | DOI: 10.51244/IJRSI |Volume XI Issue VIII August 2025
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Solar Cell Photovoltaic Model Shell Sp 75
K.B. Bencherif, H.A. Bentounes, and L. Ghomri
Department of Electrical Engineering, Faculty of Sciences and Techniques
University of the Abdelhamid Ibn Badis Mostaganem, Algeria
Void Hamadou Hossine Argelia Mostaganem, Algeria
https://doi.org/10.51244/IJRSI.2025.120800136: DOI
Received: 07 June 2025; Accepted: 12 June 2025; Published: 15 September 2025
ABSTRACT
For the calculation of the voltage and current of the PV model ,several theoretical models have been
developed. In this work, we presented a simple model to a single exponential. The photovoltaic model is
typically represented by an equivalent circuit and parameters are calculated experimentally .Using Matlab as a
tool for simulation ,we have considered three sizes :short-circuit, open circuit voltage, voltage and current at
maximum power point of the photovoltaic model characteristics shell SP 75 in condition standard test .The
results were compared with those provided by other researchers.
Keywords: Photovoltaic model-specific parameters of the characteristics IV Crystalline-Si- Solar Cell-
Models.
INTRODUCTION
Photovoltaic solar energy comes from the direct transformation of part of the solar radiation into electrical
energy. This conversion of energy takes place via a so-called photovoltaic (PV) cell, based on a physical
phenomenon called a photovoltaic effect, which consists in producing a electromotive force when the surface.
of this cell is exposed to light, In most of the literature, we mainly find the model equivalent to four parameters
based on modeling mathematics of the current voltage curve I-V [1,7].In this model, the effect of the shunt
resistor is neglected because its value is important, especially for Si-crystalin modules [2,3,7].
The model uses four quantities, which are not generally measurable quantities or included in the manufacturing
data, namely
(the photocurrent),
(the saturation current), A (the ideality factor) and
(the series
resistance
MATHEMATICAL MODEL
The photovoltaic module is shown by the equivalent circuit of FIG.1. below:
Fig 1. Equivalent model of an exponential model, L5P [7]
INTERNATIONAL JOURNAL OF RESEARCH AND SCIENTIFIC INNOVATION (IJRSI)
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The model, known as L5P. [7], uses the following five unknown variables:
(current photo),
(saturation
current), A (ideality factor),
(series resistance) and
. By neglecting the effect of
, the equation
characterizing the four-parameter L4P model is as follows:
…(1)
These quantities are to be determined from the measurement of the voltage-current characteristic IV for an
illumination torque and reference temperature (
given to STC (Standard Test Conditions, 1000
25°C , spectrum AM1.5) by the manufacturer, or resulting from the direct measurement on the module.
Table 1: Electrical characteristics of the Shell SP 75 photovoltaic module in standard test condition [7,8].
Values
Standard illumination, E
1000W/m^2
Standard temperature, T
25 ° C
Maximum peak power,
75 W
Maximum voltage,
17 V
Maximum current,
4.4 A
Open circuit voltage,
21.7 V
Short-circuit current,
4.8 A
These measurements are necessary in order to specify the basic data necessary for the characterization of the
various parameters of the model (
open circuit voltage,
short-circuit current of the module,
voltage and current to the maximum power point). Three remarkable points of the characteristic
,
[4,7] , can be used to determine the parameters
,
with :
…(2)
...(3)
…(4)
By observing the equations (2, 3, 4), we are confronted with a classical problem of solving four unknowns and
three equations, this gives a multiplication of choices of the additional equation to be added. The literature on
the subject proposes a dozen methods of resolution, with varying precision from one method to another.
Our choice is based on the simplified explicit method, based on a purely mathematical solution, based on
certain simplifications.
EXPLICIT METHOD SIMPLIFIED
This method considers as a first approximation:
=
, after simplification of the equations, (2), (3) and (4),
the following relations are obtained [2,5,6,7].
…(5)
INTERNATIONAL JOURNAL OF RESEARCH AND SCIENTIFIC INNOVATION (IJRSI)
ISSN No. 2321-2705 | DOI: 10.51244/IJRSI |Volume XI Issue VIII August 2025
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…(6)
…(7)
From the relation (6), it is possible to deduce the current of saturation
…(8)
From equation (8), equation (1) can be rewritten as follows:
…(9)
The equation at the point of power becomes
…(10)
From this equation, one can derive the value of the series resistance
explicated by:
…(11)
The last parameter to be determined is the ideality factor A, using the fact that the derivative of the maximum
power is zero (dP / dV = 0), and using equation (1) and the following formulation:
…(12)
We find,
…(13)
The substitution of the various parameters by their respective formulas in equation (1) gives a simple equation
connecting the current I and V to the different temperatures and sunshine.
Using the Matlab software as a simulation tool, we considered the three variables: short circuit current
,
open circuit voltage
, voltage and current at the maximum power point, the characteristics of the
photovoltaic module Shell SP 75 in test condition standard (Table 1).
The simulation results are illustrated in Fig 2.
INTERNATIONAL JOURNAL OF RESEARCH AND SCIENTIFIC INNOVATION (IJRSI)
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Fig.2. Characteristic I (V), P (V), for the model with an exponential obtained by our simulation.
Fig.1. Characteristics I (V), P (V), for the one-exponential model [7].
We neglect the effect of the shunt resistance by considering it
is infinite gives the model with 4 parameters
L4P [1, 2,7,9-12], and we take into consideration the importance of the series resistance, as our results
illustrated in Fig. 2 to the results illustrated in Fig. 1, therefore this model combines simplicity and precision.
CONCLUSION
The objective of modeling solar panels is obviously to describe their behaviors in all conditions use. in this
work we tried to confirm the simplicity and precision of the L4P model using the simplified explicit method
INTERNATIONAL JOURNAL OF RESEARCH AND SCIENTIFIC INNOVATION (IJRSI)
ISSN No. 2321-2705 | DOI: 10.51244/IJRSI |Volume XI Issue VIII August 2025
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based on the analytical resolution in order to determine the different parameters specific to the current-voltage
characteristic. Comparing our results with results from other researchers on the Shell SP 75 photovoltaic
module, we concluded that the L4P model is simple and accurate.
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