The purpose of this thesis is to design a three phase converter, whose switching pattern is arranged in a Matrix form and the converter is commonly known as three phase Matrix converter. This AC-AC system is proposed as an effective replacement for the conventional ACDC- AC system which employs a two-step power conversion. The thesis analyzes the performance of matrix converter with two modulation techniques such as SVPWM and SVM. The basic principle and switching sequence of these modulation techniques have been presented. The output voltage, output current waveforms, voltage transfer ratio and THD spectrum of switching waveforms connected to different type of loads are analyzed by using Matlab/Simulink software.