This review paper deliberates the important works on the modelling and parameters estimation of photovoltaic (PV) cells for PV simulation. It provides the concepts, features, and highlights the advantages and drawbacks of three main PV cell models, namely the single diode Rs-, Rp- and the two-diode. For the parameter estimation techniques, both the analytical and the soft computing approach are covered. A critical evaluation is carried out to summarize the performance of the models, while at the end, a summary of the future trend and direction of research is given. Since the literature on this subject is very large and dispersed, the availability a single cohesive and comprehensive document on the subject matter is crucial in order to piece the information together and understand the bigger picture. Therefore it is envisaged that this work will be convenient for new entrants as well as experienced researchers and practitioners to update their knowledge in the latest development in the area of PV modelling and simulation. (C) 2015 Elsevier Ltd. All rights reserved.