One shape parameter-based explicit model for photovoltaic cell and panel

Abstract In this paper, a novel empirical explicit model for photovoltaic (PV) cell and panel is proposed. The model is given by a simple analytic expression and involves only one shape parameter. The model makes it possible to directly calculate the current of the cell/panel corresponding to a given voltage without need for iterative methods or initial conditions. The validation of the proposed model was done through the reproduction of the I–V characteristic and the estimation of the maximum power point (MPP) of several benchmark PV cells and panels of different technologies and under different operating conditions (irradiation and temperature). The good level of similarity between the estimated values using the proposed model and the experimental data demonstrates the validity of the model to simulate the output characteristics and to approximate the MPP easily with good accuracy. Moreover, the model has been compared with several models in the literature which are based on two shape parameters or more. The proposed model shows comparable results to these models even if it is based on fewer parameters.

[1]  R. Gottschalg,et al.  Changes of solar cell parameters during damp‐heat exposure , 2016 .

[2]  Weidong Xiao,et al.  A Parameterization Approach for Enhancing PV Model Accuracy , 2013, IEEE Transactions on Industrial Electronics.

[3]  Nader Anani,et al.  Variations of PV module parameters with irradiance and temperature , 2017, Energy Procedia.

[4]  Kashif Ishaque,et al.  Simple, fast and accurate two-diode model for photovoltaic modules , 2011 .

[5]  Mehmet Akbaba,et al.  A new model for I–V characteristic of solar cell generators and its applications , 1995 .

[6]  Zainal Salam,et al.  Coyote optimization algorithm for the parameter extraction of photovoltaic cells , 2019 .

[7]  G. Farahani,et al.  A novel approximate explicit double-diode model of solar cells for use in simulation studies , 2017 .

[8]  Shu-xian Lun,et al.  An explicit I — V model of solar cells based on padé approximants , 2016, 2016 Chinese Control and Decision Conference (CCDC).

[9]  E. Dunlop,et al.  The results of performance measurements of field‐aged crystalline silicon photovoltaic modules , 2009 .

[10]  Javier Cubas,et al.  Simple mathematical approach to solar cell/panel behavior based on datasheet information , 2017 .

[11]  Amir Mohammad Beigi,et al.  Parameter identification for solar cells and module using a Hybrid Firefly and Pattern Search Algorithms , 2018, Solar Energy.

[12]  Yize Sun,et al.  An improved explicit double-diode model of solar cells: Fitness verification and parameter extraction , 2018 .

[13]  Anis Sakly,et al.  Particle swarm optimisation with adaptive mutation strategy for photovoltaic solar cell/module parameter extraction , 2018, Energy Conversion and Management.

[14]  Ahmed A. El Tayyan An Empirical model for Generating the IV Characteristics for a Photovoltaic System , 2006 .

[15]  D. Cotfas,et al.  Application of successive discretization algorithm for determining photovoltaic cells parameters , 2019, Energy Conversion and Management.

[16]  Yu-Pei Huang,et al.  A Rapid Maximum Power Measurement System for High-Concentration Photovoltaic Modules Using the Fractional Open-Circuit Voltage Technique and Controllable Electronic Load , 2014, IEEE Journal of Photovoltaics.

[17]  Shu-xian Lun,et al.  A new explicit I–V model of a solar cell based on Taylor’s series expansion , 2013 .

[18]  Prudence W. H. Wong,et al.  Approximate Single-Diode Photovoltaic Model for Efficient I-V Characteristics Estimation , 2013, TheScientificWorldJournal.

[19]  S. Vergura,et al.  Explicit empirical model for photovoltaic devices. Experimental validation , 2017 .

[20]  Davide Polverini,et al.  Polycrystalline silicon PV modules performance and degradation over 20 years , 2012 .

[21]  A. R. Jordehi Enhanced leader particle swarm optimisation (ELPSO): An efficient algorithm for parameter estimation of photovoltaic (PV) cells and modules , 2018 .

[22]  Harish Kumar,et al.  Modeling of solar cell under different conditions by Ant Lion Optimizer with LambertW function , 2018, Appl. Soft Comput..

[23]  Jianjun Hu,et al.  Performance comparison of exponential, Lambert W function and Special Trans function based single diode solar cell models , 2018, Energy Conversion and Management.

[24]  N. Tong,et al.  A parameter extraction technique exploiting intrinsic properties of solar cells , 2016 .

[25]  A. Kapoor,et al.  Exact analytical solutions of the parameters of real solar cells using Lambert W-function , 2004 .

[26]  S. Karmalkar,et al.  A Physically Based Explicit $J$ – $V$ Model of a Solar Cell for Simple Design Calculations , 2008, IEEE Electron Device Letters.

[27]  Shu-xian Lun,et al.  An improved explicit I–V model of a solar cell based on symbolic function and manufacturer’s datasheet , 2014 .

[28]  A. Das An explicit J–V model of a solar cell using equivalent rational function form for simple estimation of maximum power point voltage , 2013 .

[29]  Heng Wang,et al.  Parameter extraction of solar cell models using improved shuffled complex evolution algorithm , 2018, Energy Conversion and Management.

[30]  Ole-Morten Midtgard,et al.  A new analytical solar cell I—V curve model , 2011 .

[31]  Moin Hanif,et al.  Comparative Analysis of Different Single-Diode PV Modeling Methods , 2015, IEEE Journal of Photovoltaics.

[32]  Lijun Wu,et al.  Parameter extraction of photovoltaic models from measured I-V characteristics curves using a hybrid trust-region reflective algorithm , 2018, Applied Energy.