الفهرس 
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Abstract
The direct AC to AC power frequency converter based on the Matrix Converter technology is getting growing consideration. More especially between concerned scientists and researchers in the power frequency conversion field. This technology has a market boost driven by customers’ needs from military and aircrafts fields. The purpose of this work is to study the utilization of straightforward AC to AC Four-leg Matrix Converter (MC) as a three-phase power source to provide a 115v - 400 Hz naval application load. The extra fourth leg is employed to afford a pathway for the zero-sequence current segments when supplying non-linear or unbalanced types of loads. Unfortunately, this added leg transformed the modulation realization from simple two-dimensional SVM into a complex three-dimensional SVM modulation. On the other hand, to regulate the 400Hz voltage waveform in the output of the converter, a controller features a high bandwidth characteristic is needed. Nevertheless, the existed traditional controller ’s bandwidth is very limited due to the bounded switching frequency and the higher demanded frequency(400Hz). Consequently, undesired periodical errors and high harmonics content will degrade in the output voltage quality under unbalanced or non-linear loads. A digital Repetitive Control (RC) approach is employed to control the voltage output waveform for 3x4 Matrix Converter (MC). Based on the pronounced digital Repetitive Controller (RC), a significant reduction of the controlled error between the voltage output signal and the reference desired voltage. In addition to increasing the converter stability under varying types of loads. The Simulation output based on SIMULINK-MATLAB software demonstrated the precise functionality of the suggested controller arrangement; the simulation revealed the capability of the controller to precisely regulate the voltage output waveform under various types of loads.