A method for optimal sizing of hybrid system consisting of a Photovoltaic (PV)

Many multi-agent interconnected systems include typical nonlinearities which are highly sensitive to inevitable communication delays. This makes their analysis challenging and the generalization of results from linear interconnected systems theory to those nonlinear interconnected systems very limited. This paper deals with the analysis of Multi-Agent Nonlinear Interconnected Positive Systems (MANIPS). The main contributions of this work are two fold. Based on Perron-Frobenius theorem, we first study the "admissibility" property for MANIPS, and show that it is a fundamental requirement for this category of systems. Then, using admissibility/positivity properties and sequences of functions theory, we propose a suitable Lyapunov function candidate to conduct the analysis of the dynamical behavior of such systems. We show that the stability of MANIPS is reduced to the positiveness property (i.e. negative or positive definiteness) of a new specific matrix-valued function (Z) that we derive in this paper. Furthermore, the obtained results generalize the existing theory. The quality of the results achieved are demonstrated through the applications of the developed theory on cells with multi-stage maturation process dynamical models.

This work is devoted to the modeling and simulation of hybrid electric vehicles with two sources of energy: a combustion engine and an electric motor. The Series / Parallel architecture is adopted for modeling, and each part of the traction is modeled separately. The constructed vehicle's model for simulation consists of assembling different blocks by connecting components in a structured manner with respect of the physical causality. For the control of the powertrain, a strategy is developed, whose role is to choose at every moment the best power distribution between the different energy sources in order to minimize fuel consumption and pollutants emissions.