Abstract: The low voltage transfer ratio problem of traditional matrix converters is discussed,and a new circuit topology named Buck-Boost matrix converter is proposed.Firstly,the basic configuration of this new topology and its fundamental principle are introduced.Then,the design methods for sliding mode control strategy and space vector modulation strategy without zero vectors are clarified particularly.Finally the validity and feasibility of the new topology are tested with simulation.And the simulation results indicate that the output voltage and frequency can be modulated optionally by the new converter,of which the voltage transfer ratio can be larger or smaller than 1 and a normal sine wave can be directly obtained without filtering.So the low voltage transfer ratio problem of traditional matrix converters is effectively solved.