V.V. Zinoviev, O.A. Bartenev

ANALYTICAL EXPRESSION FOR THE CURRENT-VOLTAGE CHARACTERISTIC OF PV CELLS BASED ON LAMBERT W-FUNCTION FOR ITS FORWARD AND REVERSE BRANCHES

Annotation. Two-diode model of PV cell is proposed, which makes it possible to present in a unified analytical form the full current-voltage characteristic considering both forward and reverse branches based on the Lambert W-function. The model allows a fairly detailed study the effect of avalanche breakdown mechanism in the p–n junction on the reverse branch of the I–V characteristic. Good fitting has been show between the experimental and modeled I-V curves for silicon PV cells. From a practical point of view, a unified analytical form of the full current-voltage characteristic with Lambert W-functions is allows to analyze behavior of the series connection of PV cells and modules under uneven illumination in running solar power plants.
Keywords: solar energy, an analytical two-diode Shockley model of a PV cell, a full current-voltage characteristic based on the Lambert W-function, avalanche electrical breakdown, operational parameters and characteristics of PV cell.

For citation: Zinoviev V.V., Bartenev O.A. [Analytical expression for the current-voltage characteristic of pv cells based on lambert w-function for its forward and reverse branches] Upravlenie tekhnosferoi, 2020, vol. 3, issue 3. (In Russ.) Available at: f-ing.udsu.ru/technosphere pp. 372–385. DOI 10.34828/UdSU.2020.20.44.008

REFERENCES

  1. Zinov'ev V.V., Bel'tyukov A.P., Bartenev O.A. Matematicheskaya model' fotoelektricheskogo preobrazovatelya s ispol'zovaniem W-funktsii Lamberta [Mathematical model of a photoelectric Converter using the Lambert W-function], Izvestiya Instituta matematiki i informatiki Udmurtskogo gosudarstvennogo universiteta. [Proceedings of the Institute of mathematics and Informatics of Udmurt state University], 2016, no. 2 (48), pp. 22 – 30. (In Russ.)
  2. Fertig F., Fabian & Rein, Stefan & Schubert, Martin & Warta. Wilhelm Impact of junction breakdown in multi-crystalline silicon solar cells on hot spot formation and module performance. Conference: 26th European Photovoltaic Solar Energy Conference and Exhibition. 5 – 9 September 2011, Hamburg, Germany.
  3. Dhimish M., Holmes V., Mehrdadi B., Dales M., Mather P. PV. Output power enhancement using two mitigation techniques for hot spots and partially shaded solar cells, Electr. Power Syst. Res., 2018, vol. 158, no. January, pp. 15–25,
  4. Bishop J.W. Computer simulation of the effects of electrical mismatches in photovoltaic cell interconnection circuits, Solar Cells 25. 1988, pp. 73 – 89.
  5. Zinov'ev V.V., Bartenev O.A. Issledovanie promyshlennykh solnechnykh modulei v oblasti pryamoi i obratnoi vetvi vol'tampernoi kharakteristiki pri chastichnom zatenenii [Research of industrial solar modules in the field of direct and reverse branches of the voltampere characteristic at partial shading]. Upravlenie tekhnosferoj: electronic journal, 2019, vol. 2, Issue 3. Available at: http://f-ing.udsu.ru/technosphere (accessed: 15.03.2020). (In Russ.)
  6. Zinov'ev V.V., Bartenev O.A., Bel'tyukov A.P. Modelirovanie solnechnykh preobrazovatelei pri neravnomernoi osveshchennosti [Modeling of solar converters with uneven illumination], Promyshlennaya energetika [Industrial power engineering], 2018, no. 7, pp. 58 – 67. (In Russ.)
  7. Zinov'ev V.V., Bartenev O.A. Ustroistvo avtomaticheskogo snyatiya vol't-ampernykh kharakteristik fotoelektricheskikh preobrazovatelei [Device for automatic removal of volt-ampere characteristics of photoelectric converters]. Upravlenie tekhnosferoj: electron. journal, 2019, 2, Issue 4. Available at: https://f-ing.udsu.ru/technosphere (accessed: 15.03.2020). (In Russ.)

 

About the Author

Zinoviev Vitaliy Valerevich

head of laboratory, Institute of oil and gas is named M. S. Gutseriev, Federal State Budgetary Educational Institution of Higher Education "Udmurt state University", 426034, Universitetskaya str., 1/7, Izhevsk, Russia.

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Bartenev Oleg Arkhipovich

candidate of physical and mathematical Sciences, associate Professor, Institute of oil and gas is named M. S. Gutseriev, Federal State Budgetary Educational Institution of Higher Education "Udmurt state University", 426034, Universitetskaya str., 1/7, Izhevsk, Russia.

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PDFANALYTICAL EXPRESSION FOR THE CURRENT-VOLTAGE CHARACTERISTIC OF PV CELLS BASED ON LAMBERT W-FUNCTION FOR ITS FORWARD AND REVERSE BRANCHES pdf(1396 kb)