A New Method to Determine the Optimum Load of a Real Solar Cell Using Special Trans Function Theory (STFT)

Naorem Santakrus Singh, Amit Jain, Avinashi Kapoor


An analytical expression for optimum load for a real solar cell, having resistive and current leakage losses, has been obtained using special trans function theory (STFT) for solving the transcendental current-voltage relationship. Theoretically calculated value using STFT is compared with the experimental data as well as the values obtained by other methods. Impact of series resistance and shunt resistance on optimum load is also studied. The numerical results indicate that STFT method has the best accuracy over other available methods in literature.

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STFT; Optimum load; Solar Cell

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M.A. Green, “General solar cell curve factors including the effects of ideality factor, temperature and series resistance”, Solid-State Electron. 20 (1977) 265-266.

M.B. Prince, “Silicon solar energy converters”, J. Appl. Phys. 26 (1955) 534-540.

K.V Cartwright, “Non-calculus derivation of the maximum power transfer theorem”, in : the Technology Interface/Spring 2008.

J.J. Loferski, “Theoretical considerations governing the choice of the optimum semiconductor for photovoltaic solar energy conversion”, J. Appl. Phys. 27(1956) 777-784.

J.J. Wysocki, P. Rappaport, “Effect of temperature on photovoltaic solar energy Conversion”, J. Appl. Phys. 31 (1960) 571-578.

A.B. Rao, G.R. Padmanabhan, “A method for estimating the optimum load resistance of a silicon solar cell used in terrestrial power applications”, Solar Energy 15 (1973) 171-177.

K.K. Govil, “Optimum load expressions for pn junction solar cells”, Int. J. Electron. 50 (1981) 319-322.

L.S. Kothari, P.C. Mathur, A. Kapoor, P. Saxena, R.P. Sharma, “Determination of optimum load for a solar cell”, J. Appl Phys. 53 (1982) 5982-5984.

J. Wyatt, L. Chua, “Nonlinear resistive power theorem, with solar cell Application”, IEEE Transactions on Circuits and Systems 30 (1983) 824-828.

J. Ding, R. Radhakrishnan, “A new method to determine the optimum load of a real solar cell using the Lambert W-function”, Sol. Energy Mater. Sol. Cells 92 (2008) 1566-1569.

S.M. Perovich, S.K. Simic, D.V. Tosic, S.I. Bauk, “On the analytical solution of some families of transcendental equations”, Appl. Math. Lett. 20 (2007) 493-498.

N.S. Singh, A. Jain, A. Kapoor, “Determination of the solar cell junction ideality factor using special trans function theory (STFT)”, Sol. Energy Mater. Sol. Cell 93 (2009) 1423-1426.

N.S. Singh, A. Jain, A. Kapoor, “An exact analytical method for calculating the parameters of a real solar cell using special trans function theory (STFT)”, (accepted for publication in International Journal of Renewable Energy Research, 2013)

J.P. Charles, M. Abdelkrim, Y.H.Muoy, P. Mialhe, “A practical method of analysis of the current-voltage characteristics of solar cells”, Solar Cells 4 (1981) 169-178.

J.C.J. Phang, D.S.H. Chan, J.R. Philips, “Accurate analytical method for the extraction of solar cell model parameters”, Electron. Lett. 20 (1984) 406-408.

A. Ortiz-Conde, F.J.G. Sánchez, J. Muci, “New method to extract the model parameters of solar cells from the explicit analytic solutions of their illuminated I-V characteristics”, Sol. Energy Mater. Sol. Cells 90 (2006) 352-361.


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