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Mathematical approximations for dynamic modelling of a Smart-Grid used in a electric solar powered small vehicle are developed for model based control purposes. The objective of this paper is to present the first principles and mathematical approximations behind the systems from which the Smart-Grid is composed of, that are mainly: photovoltaic (PV) panel, other renewable sources, battery, DC/DC converter, accessories, motor and regenerative brake. For this objective, the Modelica modelling language offers a complete set of capabilities well known so far and spread in the literature, and the main ideas behind it and, its evolution and description are detailed in (Cellier (1991); Åström et al. (1998); Fritzson P. (2004)). The Modelica Standard Library (MSL) provides an important quantity of proven models to be reused, some of which have been applied in the models presented in this work. For the simulations, the Modelica tool Dymola c © (Elmqvist (2012)) has been used. This work is inspired in Dizqah et al. (2012).

Modelling a Smart-Grid for a Solar Powered Electric Vehicle