This paper presents a modeling study of an electrical power source for more electric aircrafts. It was designed with a PI (proportional-integrator) automated control for dq currents of the electrical machine, using the non-linear model of it. Using the dimensionless linear model, it was designed an optimal control structure based on a quadratic quality criterion (LQR) to validate the theoretical results and the MATLAB/SIMULINK model was created for this purpose. With this model were plotted the features which express the dynamic state variables of the system.