Fast calculation of the maximum power point of photovoltaic generators under partial shading
Cálculo rápido del punto de máxima potencia de generadores fotovoltaicos bajo condiciones de sombreado parcial
DOI:
https://doi.org/10.15446/ing.investig.v36n3.54279Keywords:
PV system, energy production, fast calculation, mismatching conditions, simulation time (en)Sistema PV, producción energética, cálculo rápido, condiciones no regulares, tiempo de simulación (es)
This paper presents a method to calculate the energy production of photovoltaic generators considering partial shading or mismatched conditions. The proposed method is based on the complete one-diode model including the bypass diode in its exponential form, where the current and voltage values of the modules composing the photovoltaic panel array are calculated without using the Lambert-W function. In addition, the method introduces a procedure to calculate the vicinity of the maximum power points, which enables the reduction of the operations required to obtain the global maximum. The proposed method provides short simulation times and high accuracy. On the other hand, since the method does not require complex mathematical functions, it can be implemented straightforwardly on known software packages and development languages such as C and C++. Those characteristics make this method a useful tool to evaluate the economic viability and return-of-investment time of photovoltaic installations. Simulation results and comparisons with a classical procedure confirm the good performance of the proposed method in terms of execution time and accuracy.
Este artículo presenta un método para calcular la producción energética en sistemas fotovoltaicos considerando sombreado parcial o condiciones no regulares. El método propuesto está basado en el modelo de un diodo completo incluyendo el diodo de bypass en su forma exponencial, donde la corriente y voltaje de los módulos son calculados sin utilizar la función Lambert-W. Adicionalmente, el método introduce un procedimiento para calcular la vecindad de los puntos máximos de potencia, lo cual permite una reducción en el número de operaciones requeridas para obtener el máximo global. El método propuesto proporciona tiempos de simulación cortos y alta precisión. Por otro lado, ya que el método no requiere funciones matemáticas complejas, puede ser implementado en conocidos paquetes computacionales y lenguajes de desarrollo como C y C++. Dichas características hacen de este método una herramienta útil para evaluar la viabilidad económica y el tiempo de retorno de inversión en instalaciones fotovoltaicas. Resultados de simulación y comparaciones con un procedimiento clásico confirman el buen desempeño del método propuesto en términos de tiempo de ejecución y precisión.
References
Accarino, J., Petrone, G., Ramos-Paja, C., & Spagnuolo, G. (2013). Symbolic algebra for the calculation of the series and parallel resistances in PV module model. Clean Electrical Power (ICCEP), 2013 International Conference on, 62-66. Doi: 10.1109/iccep.2013.6586967.
Bastidas, J. D., Franco, E., Petrone, G., Ramos-Paja, C. A., & Spagnuolo, G. (2013). A model of photovoltaic fields in mismatching conditions featuring an improved calculation speed. Electric Power Systems Research, 96, 81–90. Doi: 10.1016/j.epsr.2012.10.020.
Eicker, U. (2003). Solar Technologies for Buildings. Chichester, UK: John Wiley & Sons, Ltd. DOi: 10.1002/0470868341
ERDM Solar. Datasheet ERDM 75-85 W. Available in http://erdmsolar.biz/products/datasheet/75SM5-85SM5001.pdf
Esram, T., & Chapman, P. L. (2007). Comparison of Photovoltaic Array Maximum Power Point Tracking Techniques. IEEE Transactions on Energy Conversion, 22(2), 439-449. Doi: 10.1109/TEC.2006.874230
Femia, N., Petrone, G., Spagnuolo, G., & Vitelli, M. (2012). Power electronics and control techniques for maximum energy harvesting in photovoltaic systems. CRC Press. Doi: 10.1201/b14303
Galassi, M., Davies, J., Theiler, J., Gough, B., Jungman, G., Alken, P., & Ulerich, R. (2013). GNU Scientific Library Reference Manual. The GSL Team.
Garcia, O. G., Hernandez, J. C., & Jurado, F. (2012). Guideliness for protection against overcurrent in photovoltaic generators. Advances in Electrical and Computer Engineering. 12(4), 63-70. Doi: 10.4316/AECE.2012.04010
Gautam, N., & Kaushika, N. (2011). Network analysis of fault-tolerant solar photovoltaic arrays. Solar Energy Materials and Solar Cells. 69(1), 25-42. Doi: 10.1016/S0927-0248(00)00356-1
Herrmann, W., Wiesner, W., & Vaanen, W. (1997). Hot spot investigations on PV modules-new concepts for a test standard and consequences for module design with respect to bypass diodes. IEEE photovoltaic specialists conference, 1129-1151.
Hernandez, J. C., Garcia, O. G., & Jurado, F. (2012). Photovoltaic devices under partial shading conditions. International Review on Modelling and Simulations. 5(1), 414-425.
IEA. (2015). Snapshot of Global PV Markets 2014. International Energy Agency.
Orozco-Gutierrez, M. L., Ramirez-Scarpetta, J. M., Spagnuolo, G., & Ramos-Paja, C. A. (2013). A technique for mismatched PV array simulation. Renewable Energy, 55, 417-427. Doi: 10.1016/j.renene.2013.01.009
Orozco-Gutierrez, M., Ramirez-Scarpetta, J., Spagnuolo, G., & Ramos-Paja, C. (2014). A method for simulating large PV arrays that include reverse biased cells. Applied Energy. (123), 157-167. Doi: 10.1016/j.apenergy.2014.02.052
Patel, H., & Agarwal, V. (2008). MATLAB-Based Modeling to Study the Effects of Partial Shading on PV Array Characteristics. IEEE Transactions on Energy Conversion. 23(1), 302-310. Doi: 10.1109/TEC.2007.914308
Petrone, G., & Ramos-Paja, C. (2011). Modeling of photovoltaic fields in mismatched conditions for energy yield evaluations. Electric Power Systems Research. 81, 1003-1013. Doi: 10.1016/j.epsr.2010.12.008
Petrone, G., & Ramos-Paja, C. (2011). Modeling of photovoltaic fields in mismatched conditions for energy yield evaluations. Electric Power Systems Research. 81, 1003-1013. Doi: 10.1016/j.epsr.2010.12.008
Petrone, G., Spagnuolo, G., & Vitelli, M. (2007). Analytical model of mismatched photovoltaic fields by means of Lambert W-function. Solar Energy Materials & Solar Cells. 91, 1652–1657. Doi: 10.1016/j.solmat.2007.05.021
Saavedra-Montes, A. J., Ram irez-Scarpetta, J. M., Ramos-Paja, C. A., & Malik, O. P. (2007). Identification of excitation systems with the generator online. Electric Power Systems Research. 87, 1-9.Doi: 10.1016/j.epsr.2012.01.005
Silvestre, S., & Chouder, A. (2007). Effects of shadowing on photovoltaic module performance. Progress in photovoltaics: research and applications. 141-150.
Spataru, S., Sera , D., Kerekes, T., & Teodorescu, R. (2012). Detection of increased series losses in PV arrays using Fuzzy inference systems. 38th IEEE photovoltaic specialists conference (PVSC). 464-469.
Veberic, D. (2012). Lambert W function for applications in physics. Computer Physics Communications. 183, 2622-2628. Doi: 10.1016/j.cpc.2012.07.008
Zogou, O., & Stapountzis, H. (2011). Experimental validation of an improved concept of building integrated photovoltaic panels. Renewable Energy. 36(12), 3488–3498. Doi: 10.1016/j.renene.2011.05.034
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