explicit functions

In this paper, using Thevenin’s theorem and also nonlinear Lambert W function, a novel two-diode model of photovoltaic cells is presented in mathematical explicit manner. In comparison with existing explicit models in the literature which are valid exclusively for n2=n1 and n2=2n1, this model includes a wide range of silicon-based cells with arbitrary diodes ideality factors. Acquiring regulating parameter (a) of the proposed model, its suitability to conform the real data is verified at standard test condition with maximum error of 10-5. Moreover, recreating the changes in weather condition, the proposed model performance is validated for irradiations between 50 up to 1100 Watt/m2. Finally, with series and parallel configuration of the PV cells and analytic derivation of maximum power point, the two-diode model for PV modules is simulated in SimPowerSystems of MATLAB software for research and engineering applications.