# A Photovoltaic (Cell, Module, Array) Simulation and Monitoring Model using MATLAB /GUI Interface

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3 : The photovoltaic current at T c & G, A : The photovoltaic current under standard conditions at T r & G r, A A : Reverse saturation current at T c, A : Reverse saturation current at reference temperature at T r, : The intensity of solar irradiance, W/m 2 : The reference intensity of solar irradiance = 1000 W/m 2 : Temperature coefficient of the short circuit current : Temperature coefficient of the open circuit voltage : Cell operating temperature, o k : Reference cell operating temperature= 25 o C = o k : Ambient air temperature, o k : Band-gap of the semiconductor material The saturated reverse current, I or, at reference temperature at T r is given by the following equation [18]: : Short circuit current of photovoltaic cell under standard conditions at T r & G r, A : Open circuit voltage of photovoltaic cell under standard conditions at T r & G r, V The open circuit voltage and short circuit current are important parameters associated with the I V characteristics of the solar panel. These parameters are subject to variations in the atmospheric conditions. The short circuit current and open circuit voltage can be calculated under different atmospheric conditions using the following equations [18]: Open-circuit This point is obtained when the terminals of the cell are disconnected. The cell presents a voltage called (V oc ) expressed analytically using eq. (13) Short-circuit The terminals of the cell are short circuited, through which flows a current called (I sc ). In this situation, the voltage between cell terminals is zero. c is a constant Maximum power point (MPP) It is the operating point on the I-V curve that gives the maximum output power from the solar cell at different operating conditions.here voltage versus current product which produce maximum values of power points. V MP is related to V OC through the relation in eq. (15): And I MP is related to I sc through the relation in eq. (16): The best conditions are the "standard operating conditions" happen at Irradiance equal to 1000W/m², cells temperature equals to 25 C, and spectral distribution (Air Mass) AM is equal to Solar Module Model To increase total voltage of the module, cells have to be connected in series as shown in Fig. 3 (V out =V 1 +V 2 +V 3 + ). Connecting PV cells in parallel, as shown in Fig. 4, increases the total current generated by the module (I out =I 1 +I 2 +I ). The total current is equal to sum of current produced by each cell. Fig. 3: Connecting PV cells in series : Short circuit current of photovoltaic cell under operating conditions at T c & G, A : Open circuit voltage of photovoltaic cell under operating conditions at T c & G, V Equations (3, 4) represent I-V and P-V curves, where three remarkable points are highlighted [23]: a) open- circuit (V oc, 0), b) Short circuit (0, I sc ), c) Maximum power point (V MP, I MP ). Fig. 4: Connecting PV cells in parallel 16

4 For N p cells branches in parallel and N s cells in series, the total shunt resistances (R sh,module ) and series resistances (R s,module ) in module are equal to: If it is assumed that the modules are identical and the ambient irradiation is the same on all the modules, then the array s current is: I A = M p I M From load data is inserted in simulation program, we can specify the data & number of connection of photovoltaic array system. Ohm. Ohm. : Total shunt resistance in the photovoltaic module, : Total series resistance in the photovoltaic module, : Shunt resistance in one photovoltaic cell, Ohm. : Series resistance in one photovoltaic cell, Ohm. : Number of cells in series : Number of cells branches in parallel Then, we will add & in eq. (3&4) instead ofr s &R sh respectively if the module have N s &N p, then apply equations in previous sections to find specifications of the module and draw characteristic as current - voltage (I-V) characteristics & power - voltage (P-V) characteristics, which are drawing according to the values of the temperature and solar radiation are observed in MATLAB /GUI interface [24, 25]. The module current has an implicit expression depending on the following variables expressed in function of a single cell parameters and this is approximation method [26]: Fig. 5: Solar cell array consists of M p parallel branches, with M s Modules in series in each branch. 3.4 Design of the system In one day, the Load will consume energy (E) in Wh/day : Power of load, W : Operating time of load, hours The connected load (I conn. ) in (Ah) is calculated by: : Total short circuit current of the photovoltaic module, A. : Total open circuit voltage of the photovoltaic module, V. : Short circuit current of one photovoltaic cell : Open circuit voltage of one photovoltaic cell 3.3 Solar Array Model The modules in a PV system are typically connected in arrays.fig. 5.Illustrates the case of an array with M P parallel branches each with M S modules in series. The applied voltage at the array s terminals is denoted by V A, while the total current of the array is denoted by If the current is not constant, the current must be integrated over the time operation. Neither the battery charging and discharging nor the wiring is 100% efficient. Charging & discharging efficiency of battery and wiring efficiency are inserted. The corrected load (I corr. ) in (Ah) is calculated by: : All efficiency : Battery efficiency : Wiring efficiency The batteries capacity BC in (Ah) is calculated by: A is the branches number B D : Battery depth of charging & discharging 17

5 This capacity might be designed as Ampere hour capacity & Voltage of battery Specify the PV power needs. It is determined by determining the time when the least amount of sunlight is available during months. During the longest hour period, the PV array must produce all the electricity needed to operate the load for a day. It must be taken into account that the PV modules may not always operate at peak efficiency, such as if they get dusty, or operation at cell temperatures higher than 25 o C may reduce maximum output power by an additional. The PV array output current (on one day) : The corrected load, Ah : Photovoltaic module efficiency Psh : Peak sun hour, hours simulation results also show that these factors and the corresponding PV model influence the power obtained from PV modules. The Lorentz LC80-12M PV module was chosen for modelling, The module provides 80 watt of nominal maximum power, and has 36 monocrystalline series connected silicon cells. The key specifications are shown in Table 1. The input data are inserted in simulation GUI/Interface matlab model as shown in Figure (7). The model of the PV module was implemented using a Matlab program. The model parameters are evaluated during execution using the equations listed on the previous sections. The program also, calculate the current I, using typical electrical parameter of the cell or module (I sc, V oc ), and the variables Voltage, Irradiation (G), and Temperature (T). 4. MATHEMATICAL MODELLING CALCULATION TECHNIQUE BY NEWTON-RAPHSON ALGORITHM The Newton-Raphson method, or Newton Method, is a powerful technique for solving equations numerically. Like so much of the differential calculus, it is based on the simple idea of linear approximation. The Newton Method, properly used, usually homes in on a root with devastating efficiency. If x n is the current estimate, then the next estimate x n+1 is given by The Newton-Raphson method is used to solve systems of nonlinear equations. It find the roots of a nonlinear function by computing the Jacobian linearization of the function around an initial guess point, and using this linearization to move closer to the nearest zero. A set of nonlinear equations applying in equations (3, 4) and are illustrated in Fig MATLAB /GUI INTERFACING The generalized photovoltaic simulation model using MATLAB /GUI interface & adding design of photovoltaic array system are explained in this paper. The model is developed using basic circuit equations of the Photovoltaic (PV) Solar cells including the effects of solar radiation and temperatures changes. These effects in photovoltaic module added in real time operation simultaneously. Since the PV module has nonlinear characteristics, it is necessary to model it for the design and simulation of maximum power point tracking (MPPT) for PV system applications. The characteristic curves as the current - voltage (I-V) characteristics & the power - voltage (P-V) characteristics are shown according to the values of the temperature and solar radiation are observed in MATLAB /GUI interface. The Fig.6: Flowchart display mathematical modelling calculation technique by Newton-Raphson Algorithm. 18

7 (a) (b) Fig. 8: Simulation model for (I-V) characteristics of PV Module (a) Matlab GUI/Interface simulation model (b) (I-V) characteristics figure of PV Module 20

8 (a) (b) Fig. 9: Simulation model for (P-V) characteristics of PV Module (a) Matlab GUI/Interface simulation model (b) (P-V) characteristics figure of PV Module 21

9 (a) (b) Fig. 10: Effects of solar radiation changes in (I-V) characteristics of PV Module at constant temperature (25 o C) (a) Matlab GUI/Interface simulation model (b) (I-V) characteristics figures of PV Module 22

10 (a) (b) Fig. 11: Effects of solar radiation changes in (P-V) characteristics of PV Module at constant temperature (25 o C) (a) Matlab GUI/Interface simulation model (b) (P-V) characteristics figures of PV Module 23

11 (a) (b) Fig. 12: Effects of temperature changes in (I-V) characteristics of PV Module at constant solar radiation (1kw/m 2 ) (a) Matlab GUI/Interface simulation model (b) (I-V) characteristics figures of PV Module 24

12 (a) (b) Fig. 13: Effects of temperature changes in (P-V) characteristics of PV Module at constant solar radiation (1 kw/m 2 ) (a) Matlab GUI/Interface simulation model (b) (P-V) characteristics figures of PV Module 25

13 Fig. 14: Effects of Solar radiation & temperature changes in real time operation in (I-V) characteristics of PV Module 26

14 Fig. 15: Effects of Solar radiation & temperature changes in real time operation in (P-V) characteristics of PV Module 27

15 7. CONCLUSION A photovoltaic (cell, module and array) simulation model is developed and presented in this paper to be used in MATLAB /GUI interface environment. By DAQ, Data are inserted of solar insolation and temperature, the model calculates the current and voltage by Newton-Raphson method. The results from the MATLAB /GUI interface model show excellent correspondence to manufacturer s published curves. Finally the model development was used to show the effect of: insolation, temperature in real time as monitoring system for the current - voltage (I-V) characteristics & the power - voltage (P-V) characteristics and design for PV array system design. 8. ACKNOWLEDGMENTS Authors would like to thank National Research Centre (NRC) and Fayoum University for supports to do this work. 9. REFERENCES [1] Afrouzi, H.N., Mashak, S.V.,Dastgheib,A.M.,andTavalaei,J Economic Sizing of Solar Array for a Photovoltaic Building in Malaysia with Matlab, First International Conference on Informatics and Computational Intelligence, [2] Sukamongkol, Y., Chungpaibulpatana S., and Ongsakul,W A simulation model for predicting the performance of a solar photovoltaic system with alternating current loads, Renewable Energy 27 (2) [3] Joshi,A.S.,Dincer,I., and Reddy, B.V Performance analysis of photovoltaic systems: a review, Renewable and Sustainable Energy Reviews 13 (8) [4] Eltawil, M.A.and Zhao, Z Grid-connected photovoltaic power systems: Technical and potential problems a review, Renewable and Sustainable Energy Reviews 14 (1) [5] De Blas, M.A., Torres, J.L.,Prieto, E., and Garcia,A Selecting a suitable model for characterizing photovoltaic devices, Renewable Energy 25 (3) [6] Alonso-Garcia,M.C. andruiz,j.m Analysis and modelling the reverse characteristic of photovoltaic cells, Solar Energy Materials and Solar Cells 90 (7-8) [7] Soto,W.D., Klein, S., and Beckman,W Improvement and validation of a model for photovoltaic array performance, Solar Energy 80 (1) [8] Chenni, R.,Makhlouf,M.,Kerbache, T., and Bouzide, A A detailed modeling method for photovoltaic cells, Energy 32 (9) [9] Celik,A.N. and Acikgoz, N Modelling and experimental verification of the operating current of mono-crystalline photovoltaic modules using four- and five-parameter models, Applied Energy 84 (1) [10] Jung,J.H. and Ahmed,S Real-time simulation model development of single crystalline photovoltaic panels using fast computation methods, Solar Energy [11] Sukamongkol,Y., Chungpaibulpatana,S., and Ongsakul,W A simulation model for predicting the performance of a solar photovoltaic system with alternating current loads, Renewable Energy 27 (2) [12] Jones,A.D. and Underwood,C.P A thermal model for photovoltaic systems, Solar Energy 70 (4) [13] Ali Characteristics of flow and heat transfer for in-line plate segments inside channel used for photovoltaic modules thermal regulation, Applied Thermal Engineering 25 (8-9) [14] Dehra,H A two dimensional thermal network model for a photovoltaic solar wall, Solar Energy 83 (11) [15] Tina,G.M. and Abate,R Experimental verification of thermal behaviour of photovoltaic modules, In: Proc. IEEE Mediterranean Electrotechnical Conf [16] Gil-Arias, O. and Ortiz-Rivera, E.I A general purpose tool for simulating the behavior of pv solar cells, modules and arrays, In: 11th Workshop on Control and Modeling for Power Electronics [17] Skoplaki,E. and Palyvos, J On the temperature dependence of photovoltaic module electrical performance: a review of efficiency/ power correlations, Solar Energy 83 (5) [18] Villalva, Marcelo Gradella, Gazoli, Jonas Rafael, Filho andernesto Ruppert Comprehensive approach to modeling and simulation of photovoltaic arrays, IEEE Trans. Power Electron 24 (5) [19] Moradi, M.H. andreisi,a.r A hybrid maximum power point tracking method for photovoltaic systems, Solar Energy 85, [20] Buresch, M Photovoltaic Energy Systems Design and Installation,McGraw-Hill, New York. [21] Francisco,M. and González-Longatt Model of Photovoltaic Module in Matlab, 2do congresoıberoamerıcano de estudıantes de ıngenıeríaeléctrıca, electrónıca y computacıón 1-5. [22] Atlas, I. and Sharaf,A A photovoltaic array simulation model for matlab-simulinkgui environment, in International Conference on Clean Electrical Power [23] Alsayid,B. andjallad, J Modeling and Simulation of Photovoltaic Cells/Modules/Arrays, IJRRCS 2 (6) [24] Tsai, H.L., Tu, C.S., and Su, Y.J Development of Generalized Photovoltaic Model Using MATLAB/SIMULINK, Proceedings of the World Congress on Engineering and Computer Science WCECS, San Francisco, USA. [25] Villalva, M.G., Gazoli, J.R, and Filho,E.R 2009.Comprehensive approach to modeling and simulation of photovoltaic array, IEEE Trans on Power Electronics 24 (5) [26] Chaouachi, A.,Kamel,R.M., and Nagasaka,K A novel multi-model neuro-fuzzy-based MPPT for threephase grid-connected photovoltaic system, Solar Energy 84 (2010)

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