PV Generator Driven First Order Circuit - Transient Analysis using LambertW Function

The study of dynamic behaviour of circuits containing one or more energy-storing circuit elements powered by photovoltaic (PV) generator has been an intriguing aspect to the PV module design engineer. A PV module constitutes a special power source that has a transcendental current-voltage relationship. As can be expected this makes the transient response analysis for such circuits far more complicated than the conventional power source. Methods and models have been suggested to study the transient behaviour of such circuits. Earlier works on first order circuits have assumed that there are no current leakage losses in the form of Shunt resistance for a PV generator. In absence of an exact closed form solution for the transcendental current-voltage relations of a PV generator, these methods approximately describe the transient behaviour both quantitatively and qualitatively. Here we present an approach that uses exact closed form solutions based on Lambert W function, having incorporated finite value of shunt resistance for the PV generator.