Solar Irradiance Estimation of Photovoltaic Module based on Thevenin Equivalent circuit Model

Abstract

   Abstract— This Paper presents an accurate method for estimation of solar irradiance of a PV module. The solar irradiance estimation method is derived using the efficient approximation of a PV model based on  Thevenin equivalent circuit . The short linear combination of exponential function is used for constructing a mathematical function that is used to express the Thevenin voltage source of a PV panel. The proposed algorithm for estimation of solar irradiance use Newton Raphson method based on extensively analysis of a photovoltaic mathematical model and it is applied for a wide range of operating point variations . The proposed method has the ability to estimate the parameters, which are required for constructing  the mathematical model of a PV in addition to estimate the solar irradiance . The accuracy and effectiveness of the proposed algorithm  is demonstrated in MATLAB for a photovoltaic  panel by using experimental data which is obtained from data sheet  under different operating conditions.   Index Terms— photovoltaic modeling; pyranometer;  solar irradiance Photovoltaic Model; Thevenin equivalent circuit System; Exponential sum models.

Keywords

• photovoltaic modeling; pyranometer; solar irradiance Photovoltaic Model; Thevenin equivalent circuit System; Exponential sum models.

Kaynakça

1. “Solar photovoltaic on the road to large-scale grid integration,” EPIA, Tech. Rep., Sep. 2012. [Online]. Available: http:// www.epia.org
2. D. R. Myers, “Solar radiation modeling and measurements for renewable energy applications: Data and model quality,” Energy, vol. 30, no. 9,pp. 1517–1531, Jul. 2005. [3] Rafiza Abdul Rahman, Shahril Irwan Sulaiman, Ahmad Maliki Omar, Zainazlan Md. Zain, Sulaiman Shaari, “Performance Analysis of 45.36kWp Grid-Connected Photovoltaic Systems at Malaysia Green Technology Corporation”, International Symposium & Exhibition in Sustainable Energy & Environment (ISESEE), Jun 2011, pp. 1-3
3. M. Muselli, G. Notton, J. L. Canaletti, and A. Louche, “Utilization of meteosat satellite-derived radiation data for integration of autonomous photovoltaic solar energy system in remote areas,” Energy Convers. Manage., vol. 30, no. 1/2, pp. 1–19, Jan. 1998.
4. D. R. Myers, “Solar radiation modeling and measurements for renewable energy applications: Data and model quality,” Energy, vol. 30, no. 9, pp. 1517–1531, Jul. 2005. [6] M. Benghanem, A.Maafi, “Measurement System for Solar Radiation”, IEEE Instrumentation and Measurement Technology Conference, May 1997, pp. 932-935.
5. Rodney H.G. Tan, Priscilla L.J. Tai, V. H. Mok “ Solar Irradiance Estimation Based on Photovoltaic Module Short Circuit Current Measurement,” IEEE International Conference on Smart Instrumentation, Measurement and Applications (ICSIMA) , Kuala Lumpur, Malaysia 26-27 November 2013
6. M. G. Villalva, J. R. Gazoli, and E. Filho, “Comprehensive approach to modeling and simulation of photovoltaic arrays,” IEEE Trans. Power Electron., vol. 24, no. 5, pp. 1198–1208, May 2009.
7. A. Izadian, A. Pourtaherian, and S. Motahari, “Basic model and governing equation of solar cells used in power and control applications,” in Proc. IEEE Energy Convers. Congr. Expo., Sep. 2012, pp. 1483–1488. [10]
8. Kenneth Holmström, Jöran Petersson " A review of the parameter estimation problem of fitting positive exponential sums to empirical data Applied Mathematics and Computation, Volume 126, Issue 1, 15 February 2002, Pages 31-61 [11]

9. F. Filbir, H.N. Mhaskar, J. Prestin"On the problem of parameter estimation in exponential sums"Constr. Approx., 35 (2012), pp. 323–343 [12]
10. D. Potts, M. Tasche "Parameter estimation for exponential sums by approximate Prony method" Signal Process., 90 (2010), pp. 1631–1642. [13] KC200GT photovoltaic solar
11. module; http://www.kyocera .com. [14]
12. J. P. Charles, M. Abdelkrim, Y. H. Muoy, and P. Mialhe, “A practical method of analysis of the current- voltage characteristics of solar cells”, Solar Cells, 4, 169- 178, 1981. [15]
13. R Khezzar, M Zereg, “Comparative Study of Mathematical Methods for Parameters Calculation of Current-Voltage Characteristic of Photovoltaic Module”, in Proc. Int. Conf. Elect. Electron. Eng., Nov. 2009, pp. I- 24–I-28. [16]
14. Patangia, Hirak, et al. "A simplified PV model for low power MPPT controller design." 2010 IEEE Asia Pacific Conference on Circuits and Systems. [17]
15. Mohamed Abd-El-Hakeem Mohamed " Efficient Approximation of Photovoltaic Model Using Dependent Thevenin Equivalent circuit based on exponential sums function." Photovoltaic Specialists Conference, 2015. Conference Record of the 42 IEEE. IEEE, 2015.