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In this paper, a direct ac-ac converter suitable for a variable speed wind energy conversion system is proposed. In wind energy conversion systems, due to the variation in wind speed, there will be variation in shaft speed and hence the frequency of the output will be fluctuating at the generator terminal. A direct ac-ac converter (Matrix converter) is capable of providing simultaneous control of output voltage and frequency at the generator output. In this paper the direct transfer function method is developed, to create a constant voltage and constant frequency output from a variable output voltage and frequency and the same is simulated using MATLAB/SIMULINK simulation software.