In this work, a comparative analysis of the performance and efficiency of the FCS-MPC and Modulation FBQ applied to an AFE active front rectifier is carried out. The above compares quality indicators of form in the input current of an AFE, THD, and WTHD rectifier. For efficiency, the conduction and commutation losses in the switches will be estimated to obtain a selection criterion between these two control methods, which will be based on the efficiency of the converter and the performance of the input current loop. The semiconductors losses are calculated by linear mathematical approximations, which depend on the operation point of the AFE rectifier and the switch parameters, which are obtained from the datasheet provided by the switch manufacturer, which for this work, IGBT IKW25T120 was selected. Finally, for the performance analysis, satisfactory simulation results were obtained.