Modeling Of Single Diode Solar Photovoltaic Module Using Matlab

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International Journal of Computer Applications (0975 – 8887)Volume 178 – No.3, November 2017Modeling of Single Diode Solar Photovoltaic Moduleusing MatlabMd. Abu Bakr SiddiqueS. M. Rezaul KarimLecturerDepartment of EEEIUBAT - Intl. Uni. of Bus. Agri. and Tech.Sector 10, Dhaka 1230, BangladeshLecturerDepartment of EEEIUBAT - Intl. Uni. of Bus. Agri. and Tech.Sector 10, Dhaka 1230, BangladeshShariful Islam SharifM. Tanvirul HoqueGraduateDepartment of EEEIUBAT - Intl. Uni. of Bus. Agri. and TechSector 10, Dhaka 1230, BangladeshLecturerDepartment of EEEIIUC - International Islamic Uni. ChittagongKumira, Chittagong-4318, BangladeshABSTRACTThis paper presents a circuit based simulation model for asolar photovoltaic (PV) module to examine the estimatedelectrical performance parameters with the changes ofenvironmental parameter such as solar irradiation andtemperature. Modeling and simulation of a solar PV module ispresented based on Shockley diode equations. The SolarexMSX 120, a typical 120W PV module is chosen for modelperformance evaluation. The mathematical model for thechosen module is implemented on matlab with respect tovarious temperatures, solar irradiations, diode quality factorsand model series resistances and obtained I-V and P-Vcharacteristics curves were compared with the manufacturer’spublished curves which show precise correspondence to themodel.KeywordsPhotovoltaic module, Solar irradiation, Modeling andbehavior of PV cell, Temperature, Performance parameter,Photocurrent, I-V and P-V characteristics, MSX120 PVmodule, Single diode.1. INTRODUCTIONIncreasing world’s population demand more energy. Thetraditional nonrenewable energy source fails to fulfill thedemand because is not economical and viable for sustainabledevelopment. As a result, in recent days renewable energysources play a vital role to meet the power demand of thegrowing population in the world. Apart from contributing toreduce the emission of greenhouses gases, they added muchexpected facility to the energy sources by decreasing ourdependency on fossil fuels [1]. The renewable energy sourceis the best solution to the power crisis problem and Solar PVis at the top of the option lists of renewable energy. As itoffers some key qualities like having no waste and emission,resulting no adverse effects on the environment and ideallysuited for distributed resource applications [2]. The amount ofsun’s energy comes to earths is estimated as 1018kWh/a whichshould be utilized [3]. Photovoltaic (PV) systems generate DCelectricity when sunlight shines on the PV array. The DCpower is stored to a storage system. An inverter converts DCto AC to power local loads [4].So PV systems consist of a PV generator (cell, module, array),energy storage devices (such as batteries), DC to ACconverter (Inverter). This article refers about a model formodeling and simulation of Solarex MSX 120, a typical120W PV module based on Shockley diode equation andNewton-Raphson iteration method in MATLAB. Single diodeand two diode model provide better relations with a practicalsolar cell keeping in mind the simplicity in implementationand the iteration speed in the extracting parameters as well asI-V and P-V curves also give minimum error with respect tocharacteristics of solar PV cell as per manufacturer sdatasheet [5]. For this paper single diode model is chosen.2. PV MODULE BASICSPhotovoltaic (PV) effect means, when solar energy (photons)hits the solar cell, with energy greater than band gap energy ofthe semiconductor, electrons come out from the atoms in thematerial, creating electron-hole pairs. Due to the impact of theinternal electric fields those carriers result current. Generatedcurrent is directly proportional to the perpetration irradiation.A PV cell, the functional unit of photovoltaic generator, is ap-n semiconductor device that converts sunlight into DCcurrent (electricity) using photovoltaic effect. In the dark, theI-V output characteristics of a PV cell and a diode are similar.When the cell is short circuited, this current flows in theexternal circuit; when open circuited, this current is shuntedinternally by the intrinsic p-n junction diode. Thecharacteristics of this diode therefore set the open circuitvoltage characteristics of the cell [6]. Large numbers of PVcells are attached in series and parallel summation accordingto energy requirements. This arrangement is known as PVmodule. A PV array is defined as group of manifold PVmodules which are altogether connected with each otherin series and parallel connections to increase the array voltageand current in the array respectively [7].3. MODELING THE PV CELLA PV cell is originally a silicon semiconductor junctiondevice that contains a p-n junction similar to a diode. Itgenerates electricity proportional to the incident sunlight.When light shines on the PV cell current flows from the ptype side to the n-type side across the p-n junction throughwire which is known as light generated or photo current IL.The equivalent circuit of a simple PV cell can be modeled bya current source in parallel with a diode, a shunt resistancedeclaring a leakage current and a series resistance describing39

International Journal of Computer Applications (0975 – 8887)Volume 178 – No.3, November 2017an internal resistance to the current flow as depicted in figure1 [8].XV IS T 1 * q nkT 1 * eqVoc T 1 nkT 1(10)Here n is known as diode quality factor which is 1 for idealdiode. RS is a small resistance which represents internallosses due to current flow. The Boltzmann’s constant,A real PV cell is characterized by the following electricalparameters [9]:Figure 1: Electrical model of PV cellThe photocurrent IL of the PV cell is directly proportional tothe solar insolation. The output current I of the cell is equalto photo generated current IL , minus diode current ID , minusshuntcurrent ISH . I IL ID ISH .As RSH ,soISH 0 .Open circuit voltage: Maximum voltage available from a PVcell when I 0 .The voltage of a PV cell at night is termedas VOC . Mathematically,I IL IDVOC nkT q *ln IL IS 1 (1)Is is the saturation current of the diode and Vj V IRsis the voltage across the diode, where V is the voltage acrossthe output terminal of PV cell and RS is the series resistance,Ifthen the current diverted through the diode is given by: S ID IShort circuit current: Current that flows when V 0 .It isdue to the generation of light generated carriers. For an idealPV cell ISC IL .Therefore, it is the largest amount ofcurrent which can be drawn from the PV cell. The shortcircuit current increases linearly with ambient irradiation.Again, the short circuit current slightly increases with theincrease in cell temperature.exp q V IRS nkT 1(2)Here nkT q is the thermal voltage and T is the absolutetemperature of the PV cell. The open circuit voltage increaseslogarithmically with the ambient irradiations. Again, the opencircuit voltage decreases linearly with the increase in celltemperature and thus cell becomes less efficient.Maximum power point: Operating points that providemaximum output power. Mathematically,P max V max* I m ax VOC * ISC * FFThus the equations for the I-V characteristics of the PV cellare:(11)Here(12)FF is the fill factor.Efficiency: Determined as the fraction of incident powerwhich is converted to electricity. S I IL I exp q V IRS nkT 1IL IL T 1 1 Ko T T 1 (3)(4)IL T 1 G * Isc T 1,nom G nom (5)Ko ISC T 2 ISC T 1 T 2 T 1 IS IS T 1 * T T 1 * e qVg nk* 1 T 1 T 1 (13)Fill factor: It is the ratio of the maximum power from the PVcell to the product of VOC and ISC . Expressed as:FF P max VOC * ISC V max*Im ax VOC * ISC(14)Fill factor is determined from measurement of the I-V curveand for good PV cells its value is greater than 0.7.(6)3nIS T 1 ISC T 1 eqVoc T 1 nkT 1 1 P max P incident V max*Im ax Pinc(7)(8)In this experiment, Solarex MSX120, a 120W PV module isused to examine the electrical performance parameters fordifferent environmental parameters. This module consists of72 multi-crystalline silicon solar cells configured as fourseries strings of 18 cells each. When light incidents on it, itproduces photocurrent, IL directly proportional to the solarirradiation. A Matlab program is developed for implementingthe model of this PV module. This program calculates the I using typical electrical parameters of the moduleand the variable voltage V , irradiation G andtemperature T .currentRS dV dIVoc 1 XV(9)40

International Journal of Computer Applications (0975 – 8887)Volume 178 – No.3, November 2017Typical electrical characteristics of MSX120, 120W PVmodule is shown in table 1. These data represent theperformance of a typical MSX120, wired in 24Vconfiguration, as measured at its output terminals, and do notinclude the effect of additional equipment such as diode andcabling. Note that all the data are based on measurementsmade in a solar simulator at standard test conditions (STC)such as Illumination of 1 kW/m2 (1 sun) at spectraldistribution of AM 1.5 and Cell temperature of 25 C or asotherwise specified on the curves. Electrical characteristics ofMSX-120s wired in 12V configuration could be found on the12V I-V curve scales, or by doubling 24V current data andhalving 24V voltage data.Under most operating conditions, the cells in a moduleoperate hotter than the ambient temperature. NOCT (NominalOperating Cell Temperature) is an indication of thistemperature rise, and is the cell temperature under StandardOperating Conditions (SOC), such as i) 20 C ambienttemperature, ii) solar irradiation of 0.8 kW/m2, and iii)average wind speed of 1 m/s with the wind oriented parallel tothe plane of the array, and all sides of the array fully exposedto the wind.Table 1: Typical electrical characteristics of SolarexMSX120, 120W PV module [10]ParameterMaximum power P max Value120W2Voltage at34.2VP max ,V maxCurrent at P max ,MinimumIm ax114WP maxShort-circuit current3.5AISCOpen-circuit voltage3.8A42.6VTemperature coefficientof ISC 0.065 0.015 %Temperature coefficientof VOC 160 20 mVTemperature coefficientof power 0.5 0.05 % º C47 2 CMaximum systemvoltage600VMaximum series fuserating20A4. IMPACT OF ENVIRONMENTALVARIABLES ON PROPOSED MODELThere are some model equations to determine the impact ofthe ambient irradiation G and the cell temperature T on thecell characteristics. Photocurrent IL (A) is directly proportionalto solar irradiance G (W/m2). The diode allows negligiblecurrent to flow in short circuit mode. Hence the proportionallyconstant in (eqn. 5) has to set in such a way so that the ratedshort circuit current ISC could be delivered under ratedirradiation. Generally solar intensities are considered withrespect to full solar radiation at sea level with averagehumidity and aerosol particulate concentration (1 Sun 1000Watt/m2). But, there is no significant variation of the PVcell performance between full sun and cloudy conditions.Output power is directly proportional to the incident solarenergy where the efficiency remains constant. Change ofphoto-current with the change of temperature (eqn. 6) expressthat the relationship between the photo-current andtemperature is linear (eqn. 4). Shockley equation gives therelationship between the cell’s terminal voltage and currentfor a not illuminated cell. Open circuited and illuminated cellhas photo-current through it. Here, I-V curve is offset fromthe origin by the photo generated current IL (eqn. 1). The opencircuit voltage and short circuit current at 25 C are used tocalculate (eqn. 8) the saturation current IS at that temperature.For “ideality factor”, according to Green’s statements, it takesa value between 1 and 2, being close to one at high currents,ascending towards two at low currents and 1.3 ideality factor issuggested as typical in normal operation and initial use [1113]. The relationship of IS to temperature is complex, butcontains no variables requiring evaluation (eqn. 7) [14].Where the series resistance of the circuit has a great influenceon the slope of the I-V curve at V VOC. Equations 9 and 10are found by differentiating equation 1, evaluating at V VOCand rearranging in terms of Rs [15].5. SIMULATION RESULTS OF THEMATLAB PV MODELVOCNOCT 2The series resistance is considered in the model which makesthe solution for current I, a nonlinear problem, that could besolved by numerical methods. Newton-Raphson method isused as it offers rapid convergence for both positive andnegative currents. A matlab script file is implementedconsidering the parameters of the chosen PV module.ºCºCThe result of the MATLAB function is shown for variousirradiation levels, temperatures, diode quality factors, andmodel series resistances. The plots of I-V and P-V curves areproduced by varying certain parameter at one time andkeeping other parameters constant at standard test conditions.The mathematical program for MSX120, 120W PV module isimplemented in matlab script file as shown in figure 2.Figure 3 and figure 4 shows I-V and P-V characteristicscurves for various solar irradiations (0.25, 0.5, 0.75, 1 suns)respectively. From figure 3, it is observed that cell currentincreases proportionally with the increase of irradiation, butcell voltage increases very little. From figure 4, output poweralso increases with the increase of irradiation and reachesnominal power point at standard test conditions.Figure 5 shows I-V characteristics curves for varioustemperatures (0 , 25 , 50 , 75 ). From figure 5, it is seenthat with the increase in temperature cell current increasesslightly but cell voltages decreases significantly. Figure 6, theI-V characteristics curves of Solarex MSX120 PV module41

International Journal of Computer Applications (0975 – 8887)Volume 178 – No.3, November 2017which is directly taken from the manufacturer’s publishedcurves, shows excellent correspondence to the matlab PVmodel simulated I-V characteristics curve shown in figure 5.Figure 7 shows P-V characteristics curves for varioustemperatures (0 , 25 , 50 , 75 ). From this figure, outputpower decreases with the increase in temperature.Is T1 Isc T1 / (exp(Voc T1/(n*Vt T1))-1);Is T2 Isc T2 / (exp(Voc T2/(n*Vt T1))-1);b Vg * q/(n*k);Is Is T1 * (TaK/T1) (3/n) .* exp(-b.*(1./TaK - 1/T1));Function Ia msx120i(Va,Suns,TaC)X2v Is T1/(n*Vt T1) * exp(Voc T1/(n*Vt T1));% msx120.m model for the MSX-120 solar array% current given voltage, illumination and temperaturedVdI Voc - 1.15/Ns / 2; % dV/dI at Voc per cell --% frommanufacturers graph% Ia msx120(Va,G,T) array voltageRs - dVdI Voc - 1/X2v; % series resistance per cell% Ia,Va array current,voltage% Ia 0:0.01:IL;% G num of Suns (1 Sun 1000 W/mˆ2)Vt Ta n * 1.38e-23 * TaK / 1.60e-19;% A*kT/q% T Temp in Deg C% Ia1 IL - Is.*( exp((Vc Ia.*Rs)./Vt Ta) -1);k 1.38e-23; % Boltzman’sconst% solve for Ia: f(Ia) IL - Ia - Is.*( exp((Vc Ia.*Rs)./Vt Ta)-1) 0;q 1.60e-19; % charge on an electron% Newton’s method: Ia2 Ia1 - f(Ia1)/f’(Ia1)% enter the following constants here, and the model will beVc Va/Ns;% calculated based on these for 1000W/mˆ2Ia zeros(size(Vc));n 1.25; % "diode quality" factor, 2 for crystaline, 2 foramorphousVg 1.12; % band gap voltage, 1.12eV for xtal Si, 1.75 foramorphous Si.% Iav Ia;for j 1:9;Ia Ia- .Ns 72; % number of series connected cells (diodes)(IL - Ia - Is.*( exp((Vc Ia.*Rs)./Vt Ta) -1)).T1 273 25;./ (-1 - (Is.*( exp((Vc Ia.*Rs)./Vt Ta) -1)).*Rs./Vt Ta);Voc T1 42.6 /Ns; % open cct voltage per cell attemperature T1% Iav [Iav;Ia]; % to observe convergence for debugging.Isc T1 3.8; % short cct current per cell at temp T1endT2 273 75;Voc T2 34.6 /Ns; % open cct voltage per cell attemperature T2Figure 2: Matlab script file for the MSX120 PV moduleIsc T2 3.92; % short cct current per cell at temp T2TaK 273 TaC; % array working tempTrK 273 25; % reference temp% when Va 0, light generated current IL T1 array shortcct current% constant "a" can be determined from Iscvs TIL T1 Isc T1 * Suns;a (Isc T2 - Isc T1)/Isc T1 * 1/(T2 - T1);IL IL T1 * (1 a*(TaK - T1));Vt T1 k * T1 / q; % n * kT/qFigure 3: Matlab model I-V curves for various irradiationlevels (MSX120, G 0.25, 0.5, 0.75, and 1.00 Sun, T 25 )42

International Journal of Computer Applications (0975 – 8887)Volume 178 – No.3, November 2017Figure 4: Matlab model P-V curves for various irradiationlevels (MSX120, G 0.25, 0.5, 0.75, and 1.00 Sun, T 25 )Figure 5: Matlab model I-V curves for various temperatures(MSX120, G 1.00 Sun, T 0 , 25 , 50 , 75 )Figure 7: Matlab model P-V curves for varioustemperatures (MSX120, G 1.00 Sun, T 0 , 25 , 50 ,75 )Figure 8: Matlab model I-V curves for various diodequality factors (MSX120, G 1.00 Sun, T 25 , n 1,1.25, 1.50, 1.75 and 2)Figure 8 shows I-V characteristics curves for various diodequality factors (n 1, 1.25, 1.5, 1.75, 2). From figure 8, it isobserved that the knee of the curve becomes softer with theincrease of diode quality factor.Figure 9 shows I-V characteristics curves for various modelseries resistances (Rs 0Ω, 8mΩ, 16mΩ, 24mΩ, 32mΩ). Asseen in figure 9, the series resistance of the model has largeimpact of the slope of I-V curves considering the valuesobtained from the MSX120, 120W PV modulesmanufacturer’s curves.Figure 6: I-V characteristics curves of Solarex MSX120,120W PV module directly taken from manufacturer’spublished datasheet43

International Journal of Computer Applications (0975 – 8887)Volume 178 – No.3, November 2017Tracking. in Proceedings of 2nd International MultiDisciplinary Conference. 2016.[8] Femia, N., et al., Optimization of perturb and observemaximum power point tracking method. IEEEtransactions on power electronics, 2005. 20(4): p. 963973.[9]Sagor, R.H. and M. Abido. Study of solar energy for PVimplementation in Saudi Arabia. in Energy Conferenceand Exhibition (EnergyCon), 2010 IEEE International.2010: IEEE.[10] Solarex MSX120, 120W PV module datasheet.http://www.solartaos.com/PDF/PV Panels/solarexmsx120.pdfFigure 9: Matlab model I-V curves for various model seriesresistances (MSX120, G 1.00 Sun, T 25 , Rs 0Ω, 8mΩ,16mΩ, 24mΩ, 32mΩ)[11] Healy, S. and M. Green, Efficiency enhancements incrystalline silicon solar cells by alloying withgermanium. Solar energy materials and solar cells, 1992.28(3): p. 273-284.6. CONCLUSION[12] Wenham, S. and M. Green, Silicon solar cells. Progressin Photovoltaics: Research and Applications, 1996. 4(1):p. 3-33.In this paper, a single diode generalized PV system withMSX120, 120W PV module is presented. The proposedsystem has been simulated in Matlab. Then the PV array isanalyzed under the changes of solar irradiation, temperature,diode quality factor, and model series resistances. Thesimulation results show that PV output power, voltage, andcurrent vary with the changes of solar irradiation, temperature,diode quality factor, and model series resistances. Thecurrent-voltage (I-V) and power-voltage (P-V) characteristiccurves from the Matlab model show excellent correspondenceto the manufacturer’s published curves. This paper is the firststep to analyze the single diode Photovoltaic model’scharacteristic curves for various environmental and electricalparameters. Our next endeavor is to analyze the double diodemodel.[13] Zhao, J., et al., Twenty‐four percent efficient siliconsolar cells with double layer antireflection coatings andreduced resistance loss. Applied Physics Letters, 1995.66(26): p. 3636-3638.[14] Walker, G.R., Evaluating MPPT converter topologiesusing a MATLAB PV model. AUPEC 2000: Innovationfor Secure Power, 2000. 1: p. 138-143.[15] Gow, J. and C. Manning, Development of a photovoltaicarray model for use in power-electronics simulationstudies. IEE Proceedings-Electric Power Applications,1999. 146(2): p. 193-200.7. REFERENCES8. AUTHOR’ PROFILE[1] Lopes, L. and A.-M. Lienhardt. A simplified nonlinearpower source for simulating PV panels. in PowerElectronics Specialist Conference, 2003. PESC'03. 2003IEEE 34th Annual. 2003: IEEE.Md. Abu Bakr Siddique received his B.Sc. in Electrical andElectronic Engineering (EEE) from Islamic University ofTechnology (IUT), OIC, Bangladesh in November 12, 2014.[2] Agarwal, V. and A. Vishwakarma. A comparative studyof PWM schemes for grid connected PV cell. in PowerElectronics and Drive Systems, 2007. PEDS'07. 7thInternational Conference on. 2007: IEEE.[3] Siddique, A.B., et al. Study of PV implementation forelectricity generation in Bangladesh. in Green Energyand Technology (ICGET), 2015 3rd InternationalConference on. 2015: IEEE.[4] Kroposki, B. and R. DeBlasio. Technologies for the newmillennium: photovoltaics as a distributed resource. inPower Engineering Society Summer Meeting, 2000.IEEE. 2000: IEEE.[5] Tamrakar, V., S. Gupta, and Y. Sawle, Single-Diode andTwo-Diode Pv Cell Modeling Using Matlab ForStudying Characteristics Of Solar Cell Under VaryingConditions. Electrical & Computer Engineering: AnInternational Journal, 2015. 4(2): p. 67-77.[6] González-Longatt, F.M., Model of photovoltaic modulein Matlab. Ii Cibelec, 2005. 2005: p. 1-5.[7] Javed, S.B., et al. Implementation of GeneralizedPhotovoltaic System with Maximum Power PointHis main areas of research interest are Photovoltaic (PV),Solar Cell, Renewable energy, Green energy, Power systemstability and control, electrical machine, energy storagesystem (ESS), biomedical engineering, nanotechnology andControl system.At present, Md. Siddique is working as a full time Lecturer atIUBAT – International University of Business Agricultureand Technology in EEE Department since January 13, 2015.He has teaching experiences on Power System Analysis (EEN453), Power System Analysis Lab (EEN 454), MicroprocessorSystems and Interfacing (EEN 373), Microprocessor Systemsand Interfacing Lab (EEN 374), Feedback System Analysisand Design (EEN 407), Feedback System Analysis andDesign Lab (EEN 408) at IUBAT.S. M. Rezaul Karim is working as a Lecturer of Electricaland Electronics Engineering (EEE) Department of IUBAT International University of Business Agriculture andTechnology, Dhaka, Bangladesh. Before joining in IUBAT,Mr. Karim completed his M.Sc. in IT from Institute ofInformation Technology, University of Dhaka (DU).Shariful Islam Sharif is a student of Electrical andElectronics Engineering (EEE) Department of IUBAT International University of Business Agriculture andTechnology, Dhaka, Bangladesh. The areas of his research44

International Journal of Computer Applications (0975 – 8887)Volume 178 – No.3, November 2017interest are smart grid, fiber optics transmission, renewableenergy etc.M. Tanvirul Hoque is currently working as a Lecturer atInternational Islamic University Chittagong (IIUC), in thedepartment of Electrical and Electronic Engineering (EEE).He received his B.Sc. in Electrical and Electronic Engineering(EEE) from Islamic University of Technology (IUT), OIC,IJCATM : www.ijcaonline.orgBangladesh in November 12, 2014.His main areas of research interest are Photovoltaic (PV),Solar Cell, Renewable energy, Energy management,Sustainable energy system energy storage system (ESS) etc.45

Modeling of Single Diode Solar Photovoltaic Module using Matlab Md. Abu Bakr Siddique Lecturer Department of EEE IUBAT - Intl. Uni. of Bus. Agri. and Tech. . This paper presents a circuit based simulation model for a solar photovoltaic (PV) module to examine the estimated electrical performance parameters with the changes of .

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