Applications of Non-Markovian Hybrid Petri-Nets in Power Engineering

This paper is focused on simulation and graphical stochastic modeling of electrical power systems. The main goal of this paper is to develop a tool for modeling and simulation of very large systems with probabilistic incidents. For this purpose, a new extension of Petri nets is introduced in this paper. Using this extension which is suitable for power engineering applications, a large system with stochastic transitions can be studied and analyzed. After a preliminary introduction of Petri nets, the proposed extension is introduced. In order to clarify the modeling process, a case study regarding modeling and analyzing long-term behavior of a Plug-in Hybrid Electric Vehicle (PHEV) is studied and simulated. The simulation results demonstrate the long-term stochastic dynamics of a charging station without any requirement for rigorous analytical studies of the overall stochastic process