A Dynamic GA-Based Approach for Optimal Short-Term Operation of a Micro-Grid

This paper presents a dynamic non-linear model of a micro-grid and then applies the GA algorithm to optimally manage the short-term operation of the studied micro-grid. The originalcalculus of variations method has been modified and augmented with GA-algorithm to solve non-linear optimal control problems,such as the optimal short-term operation of a micro-grid with nonlinear dynamics. To validate the proposed dynamic model of theselected micro-grid and to evaluate the accuracy and performanceof the developed GA-based optimization algorithm a simulation case study is presented and the obtained results are analyzed andcompared with the simplified LQR problem using the Lagrange Multipliers (LM) theory(where the nonlinearity of the micro-gridmodel is ignored).The simulation results clearly show the superiority of the proposed method in this paper versus the original LQR modeling and optimization using the LM theory

Keywords:

calculus of variation , genetic algorithm , microgrid modeling , LQR , optimal short-term operation , frequency and voltage control