Analytical Modeling of Solar Cells

  • Mohammed Rasheed Applied Sciences Department, University of Technology, Baghdad, Iraq
  • Suha SHIHAB
Keywords: Modified Aitken's method, Aitken's method, Newton-Raphson method, PV cell, single-diode design


In the present work, a modified method is utilized to find the real roots of nonlinear equations of a single-diode PV cell by combining the modified Aitken's extrapolation method (MAEM), Aitken's extrapolation method (AEM) and the Newton-Raphson method (NRM), describing, and comparing them. The extrapolation method (MAEM) and (AEM) in the form of Aitken –acceleration is applied for improvement the convergence of the iterative method (Newton-Raphson) technique. Using a new improve to Aitken technique on (NRM) enables one to obtain efficiently the numerical solution of the single-diode solar cell nonlinear equation. The speed of the proposed method is compared with two other methods by means of various values of load resistance (R) in the range between R ∈ [1, 5] and with the given voltage of the cell  as an initial value in ambient temperature. The results showed that the proposed method (MAEM) is faster than the other methods (AEM and NRM).

Author Biography

Mohammed Rasheed, Applied Sciences Department, University of Technology, Baghdad, Iraq
Mohammed S. RASHEED: He was born in Baghdad in 1971. He had her B.Sc., M.Sc. degrees in Applied Physics from University of Technology, Baghdad (Iraq) in 03/09/1992, 17/05/1995 respectively, and Ph.D. degree in University of Angers, Angers (France) in 12/12/2017. He has become a Assistant professor at 11\11\2018. He has research gate h-index 3, Scopus h-index 3 and more than 30 published articles inside, outside Iraq and most of them in Clarivate journals. He was having a many research group on Preparation and characterization of semiconducting thin films and nanostructures produced by Spin Coating and Dip Coating (Sol Gel) technique. As well, He is a member of a research groups on preparation and characterization of semiconducting thin films by chemical bath deposition (CBD) and preparation and characterization of Ceramic and Polymer materials produced by many techniques like solid-state, hydrothermal and Sol gel. Authored one book on laser communication system and published it in Lambert Academic Publishing in 2012 in Germany. He reviewer for two international journals indexed in (Springer & Elsevier). He participate in more than 12 conferences all of them outside Iraq in France, Romania, Algeria and Tunisia.


M. RASHEED, M. A. Sarhan, Solve and Implement the main Equations of Photovoltaic Cell Parameters Using Visual Studio Program, Insight-Mathematics, 1 (1) (2019).

M. Rasheed, M. A. Sarhan, Characteristics of Solar Cell Outdoor Measurements Using Fuzzy Logic Method, Insight-Mathematics, 1 (1) (2019).

M. RASHEED, M. A. Sarhan, Measuring the Solar Cell Parameters Using Fuzzy Set Technique, Insight-Electronic, 1 (1) (2019).

M. RASHEED, Linear Programming for Solving Solar Cell Parameters, Insight-Electronic, 1 (1) (2019).

M. RASHEED, Investigation of Solar Cell Factors using Fuzzy Set Technique, Insight-Electronic, 1 (1) (2019).

M. RASHEED, Regis Barille, Development and Characterization of Single and Multilayer Thin Films for Optoelectronics Application, Ph. D. Thesis University of Angers (2017).

M. RASHEED, S. SHIHAB, Analytical Modelling of Solar Cells, Insight Electronics, 2019.

M. RASHEED, S. SHIHAB, Modeling and Simulation of Solar Cell Mathematical Model Parameters Determination Based on Different Methods, Insight Mathematics, 2019.

M. RASHEED, S. SHIHAB, Parameters Estimation for Mathematical Model of Solar Cell, Electronics Science Technology and Application, 2019.

O. A. Sultan, K. I. Hassoon, M. S. Rasheed, Deterioration of Silicon Solar Cell Parameter with Ambient Temperature, Al-Mustansiriyah Journal of Science, 14 (1) (2003) 25-31.

F. S. Tahir, M. S. Rasheed, I. A. Hameed, Analysis the Performance of Silicon Solar Cell Parameters with the Ambient Temperature using Fuzzy Logic, Journal of the College of Basic Education 18 (75) (2012) 173-183.

F. S. Tahir, M. S. Rasheed, Decline in the Performance of Silicon Solar Cell Parameters with the Ambient Temperature in Baghdad, Journal of the College of Basic Education, 18 (75) (2012) 95-111.

E. Kadri, M. Krichen, R. Mohammed, A. Zouari, K. Khirouni, Electrical transport mechanisms in amorphous silicon/crystalline silicon germanium heterojunction solar cell: impact of passivation layer in conversion efficiency, Optical and Quantum Electronics, 48 (12) (2016) 1-15.

E. Kadri, O. Messaoudi, M. Krichen, K. Dhahri, M. Rasheed, E. Dhahri, A. Zouari, K. Khirouni, R. Barillé, Optical and electrical properties of SiGe/Si solar cell heterostructures: Ellipsometric study, Journal of Alloys and Compounds, 721 (2017) 779-783.

E. Kadri, K. Dhahri, A. Zaafouri, M. Krichen, M. Rasheed, K. Khirouni, R. Barillé, Ac conductivity and dielectric behavior of a−Si: H/c− Si1−yGey/p−Si thin films synthesized by molecular beam epitaxial method, Journal of Alloys and Compounds, 705 (2017) 708-713.

M. S. Rasheed, Approximate Solutions of Barker Equation in Parabolic Orbits, Engineering & Technology Journal, 28 (3) (2010) 492-499.

M. S. Rasheed, An Improved Algorithm For The Solution of Kepler‘s Equation For An Elliptical Orbit, Engineering & Technology Journal, 28 (7) 2010 1316-1320.

M. S. Rasheed, Acceleration of Predictor Corrector Halley Method in Astrophysics Application, International Journal of Emerging Technologies in Computational and Applied Sciences, 1 (2) 2012 91-94.

M. S. Rasheed, Fast Procedure for Solving Two-Body Problem in Celestial Mechanic, International Journal of Engineering, Business and Enterprise Applications, 1 (2) 2012 60-63.

M. S. Rasheed, Solve the Position to Time Equation for an Object Travelling on a Parabolic Orbit in Celestial Mechanics, DIYALA JOURNAL FOR PURE SCIENCES, 9 (4) 2013 31-38.

M. S. Rasheed, Comparison of Starting Values for Implicit Iterative Solutions to Hyperbolic Orbits Equation, International Journal of Software and Web Sciences (IJSWS), 1 (2) 2013 65-71.

M. S. Rasheed, On Solving Hyperbolic Trajectory Using New Predictor-Corrector Quadrature Algorithms, Baghdad Science Journal, 11 (1) 2014 186-192.

M. S. Rasheed, Modification of Three Order Methods for Solving Satellite Orbital Equation in Elliptical Motion, Journal of university of Anbar for Pure science, 2019 in press.

M. Rasheed, R. Barillé, Room temperature deposition of ZnO and Al: ZnO ultrathin films on glass and PET substrates by DC sputtering technique, Optical and Quantum Electronics, 49 (5) (2017) 1-14.

M. Rasheed, Régis Barillé, Optical constants of DC sputtering derived ITO, TiO2 and TiO2: Nb thin films characterized by spectrophotometry and spectroscopic ellipsometry for optoelectronic devices, Journal of Non-Crystalline Solids, 476 (2017) 1-14.

M. Rasheed, R. Barillé, Comparison the optical properties for Bi2O3 and NiO ultrathin films deposited on different substrates by DC sputtering technique for transparent electronics, Journal of Alloys and Compounds, 728 (2017) 1186-1198.

T. Saidani, M. Zaabat, M. S. Aida, R. Barille, M. Rasheed, Y. Almohamed, Influence of precursor source on sol–gel deposited ZnO thin films properties, Journal of Materials Science: Materials in Electronics, 28 (13) (2017) 9252-9257.

K. Guergouria A. Boumezoued, R. Barille, D. Rechemc, M. Rasheed M. Zaabata, ZnO nanopowders doped with bismuth oxide, from synthesis to electrical application, Journal of Alloys and Compounds, 791 (2019) 550-558.

D. Bouras, A. Mecif, R. Barillé, A. Harabi, M. Rasheed, A. Mahdjoub, M. Zaabat, Cu: ZnO deposited on porous ceramic substrates by a simple thermal method for photocatalytic application, Ceramics International, 44 (17) (2018) 21546-21555.

F. Dkhilalli, S. Megdiche, K. Guidara, M. Rasheed, R. Barillé, M. Megdiche, AC conductivity evolution in bulk and grain boundary response of sodium tungstate Na2WO4, Ionics, 24 (1) (2018) 169-180.

F. Dkhilalli, S. M. Borchani, M. Rasheed, R. Barille, K. Guidara, M. Megdiche, Structural, dielectric, and optical properties of the zinc tungstate ZnWO4 compound, Journal of Materials Science: Materials in Electronics, 29 (8) (2018) 6297-6307.

F. Dkhilalli, S. M. Borchani, M. Rasheed, R. Barille, S. Shihab, K. Guidara, M. Megdiche, Characterizations and morphology of sodium tungstate particles, Royal Society open science, 5 (8) (2018) 1-12.

M. Enneffati, B. Louati, K. Guidara, M. Rasheed, R. Barillé, Crystal structure characterization and AC electrical conduction behavior of sodium cadmium orthophosphate, Journal of Materials Science: Materials in Electronics, 29 (1) (2018) 171-179.

M. Enneffati, M. Rasheed, B. Louati, K. Guidara, R. Barillé, Morphology, UV–visible and ellipsometric studies of sodium lithium orthovanadate, Optical and Quantum Electronics, 51 (9) (2019) 299.

W. Saidi, N. Hfaidh, M. Rasheed, M. Girtan, A. Megriche, M. EL Maaoui, Effect of B2O3 addition on optical and structural properties of TiO2 as a new blocking layer for multiple dye sensitive solar cell application (DSSC), RSC Advances, 6 (73) (2016) 68819-68826.

A. AUKŠTUOLIS, M. Girtan, G. A. Mousdis, R. Mallet, M. Socol, M. Rasheed, A. Stanculescu, Measurement of charge carrier mobility in perovskite nanowire films by photo-CELIV method, Proceedings of the Romanian Academy Series a-Mathematics Physics Technical Sciences Information Science, 18 (1) (2017) 34-41.

N. B. Azaza, S. Elleuch, M. Rasheed, D. Gindre, S. Abid, R. Barille, Y. Abid, H. Ammar, 3-(p-nitrophenyl) Coumarin derivatives: Synthesis, linear and nonlinear optical properties, Optical Materials, 96, (2019) 109328.

M. S. Rasheed, Study of the effects of acidic solutions on the physical properties of polymeric materials superimposed, Al-Mustansiriyah Journal of Science, 13 (49) (2012) 6.

M. S. Rasheed, H. S. Mahde, Electronic Combination Lock Design Using Remote Control, Journal of the College of Basic Education, 18 (75) (2012) 265-280.

M. S. Rasheed, A. N. Mohammed, Design of a Laser Based Free Space Communication System, LAP LAMBERT Academic Publishing, (2012).

S. N. Shihab, M. A. Sarhan, Convergence analysis of shifted fourth kind Chebyshev wavelets, IOSR journal of mathematics, 10 (2) (2014) 54-58.

S. N. Al-Rawi, H. R. Al-Rubaie, An Approximate solution of some continuous time Linear-Quadratic optimal control problem via Generalized Laguerre Polynomial, Journal of Pure and Applied Sciences, 22 (1) (2010) 85-97.

S. N. Al-Rawi, NUMERICAL SOLUTION OF INTEGRAL EQUATIONS USING TAYLOR SERIES, Journal of the College of Education, 5 (1992) 51-60.

Shazad Shawki Ahmed, On System of Linear Volterra Integro-Fractional Differential Equations, Ph. D. Thesis, 2009.

J. A. Eleiwy, S. N. Shihab, Chebyshev Polynomials and Spectral Method for Optimal Control Problem, Engineering and Technology Journal, 27 (14) (2009) 2642-2652.

S. N. SHIHAB, M. A. Sarhan, New Operational Matrices of Shifted Fourth Chebyshev wavelets, Elixir International Journal-Applied Mathematics, 69 (1) (2014) 23239-23244.

S. N. Al-Rawi, F. A. Al-Heety, S. S. Hasan, A New Computational Method for Optimal Control Problem with B-spline Polynomials, Engineering and Technology Journal, 28 (18) (2010) 5711-5718.

M Delphi, S SHIHAB, Operational Matrix Basic Spline Wavelets of Derivative for linear Optimal Control Problem, Electronics Science Technology and Application, 6 (2) (2019) 18-24.

M. RASHEED, Raad RASHEED, Modelling, and Parameter Extraction of PV cell Using Single-Diode Model, Insight Electronics, (2019).

Osama Alabdali, Mohammed Abdelhadi Sarhan, Determination of the Parameters of PV Model Using Bisection Method, Insight Electronics, (2019).

Mohammed Abdelhadi Sarhan, Osama Alabdali, Determination of the Parameters of PV Model Using Secant Method, Insight Electronics, (2019).

Taha RASHEED, Osama Alabdali, Calculations of the PV Physical Parameters Using Different Numerical Methods, Insight Electronics, (2019).

Suha SHIHAB, Ahmed RASHEED, Explicit Model of Solar Cells to Determine Voltages, Insight Electronics, (2019).

Mohammed Abdelhadi Sarhan, Ahmed RASHEED, A comparative Analysis of PV Cell Mathematical Model, Insight Electronics, (2019).

M. RASHEED, S. SHIHAB, Parameters Estimation of Photovoltaic Model Using Nonlinear Algorithms, Insight Electronics, (2019).

Osama Alabdali, A new Approach for Parameter Estimation of the Single-Diode Model for Photovoltaic Cells, Insight Electronics, (2019).

Suha SHIHAB, Mohammed RASHEED, Modifications to Accelerate the Iterative Algorithm for the Single Diode Model of PV Model, Insight Electronics, (2019).

Osama Alabdali, Taha RASHEED, Parameters Extraction of a Single-Diode Model of Photovoltaic Cell Using False Position Iteration Method, Insight Electronics, (2019).