On the modeling of a solar, wind and fossil fuel energy source by means of the thermostatted kinetic theory

This paper is devoted to the modeling of a hybrid energy distribution network with storage, within the thermostatted kinetic theory framework. The network consists of a non-renewable energy source and a renewable energy source. The energy storage is modeled by the introduction of the external force field coupled to the thermostat term. The activation parameters of the energy sources are assumed time-dependent in order to mimic the time-dependent efficiency of different specific energy sources. In particular a solar energy source, a wind energy source and a fossil fuel energy source are modeled. A computational analysis is performed to show the effects of the intermittent activation on the plan of quality improvement of the energy provided to the customers and on the construction of the energy storage. Discussions and future research perspectives are proposed in the last section of the paper.