Modeling of a grid connected photovoltaic system using a geometrial transformer model

A grid connected single-phase photovoltaic system is modeled and simulated using a geometrical core-type transformer model. The transformer model that is used takes into account the magnetic core geometry as well as the hysteresis loop of the core material. In particular, the hysteresis loop is introduced using the Jiles-Atherton theory of magnetic hysteresis. Moreover, proper models for the photovoltaic array and the inverter have been used to assemble a system model in the field of state equations. Comparison with published results has been made with a prototype installation of the same configuration. Very good agreement is accomplished between the predicted and measured values. Thus, the proposed methodology can be used for the modeling of single-phase or three-phase grid connected photovoltaic systems.