The BDFIM is a type of AC induction machine that has been developed from two cascaded asynchronous motors. Compared to the DFIM, the BDFIM inherits the advantages of the doubly fed machine and has higher reliability as it cancels the slip rings or brushes. Moreover, the BDFIM has a wider range of speed regulation. Therefore, the BDFIM has received extensive attention from researchers and has a broad range of potential applications in the field of variable-speed drive applications and wind power generation. As a promising alternative to the traditional back-to-back converter, matrix converter is employed for the BDFIM drive system in wind power generation application. Since matrix converter can realize direct AC-AC conversion without using an intermediate DC-link, this feature of matrix converter will bring several advantages to the matrix converter-fed BDFIM drive systems, such as high power density and long lifetime.