Model of System Microgrid in radial Topology using Euler-Lagrange Equation

Abstract

The need of power and equipment that can serve to distribute the electric energy becomes primordial things this period that almost of domains’ specialists work in, and one of this equipment is microgrid system that gain more and more places in not just industrial area but almost domestic area, however, rural or urban. This equipment is can be worked in synchronization with the main grid or worked alone provides its own needs in alimentation and characteristics via the distributed generators. In fact, micro-grid is a complex system controlled and powerful in sense of distribution energy with minimum losses that have variety in specifics and also in the mode of working but haven’t a specific model that presents its function correctly. So, our study is interested in the analytical modeling of the micro-grid via the Euler Lagrange equations. After using the (ELE) method as tools to model the micro-grid, we simulate it through MATLAB/Simulink. The simulation result shows that the model presents the behavior of the micro-grid in mode isolated and connected in radial topology.