A linear equation solution space based control algorithm for the matrix converter

A novel algorithm is presented based on linear equation solution space theory to calculate the classic three-phase to three-phase matrix converter PWM duty cycles. It algebraically reveals an intrinsic two useful degrees of freedom in modulating the duty cycles; also discloses a general method of how to deal with distortion in the input voltage or output current whose form and harmonics quantity are not obvious. Derivation of the algorithm, its control techniques and potential are given; comparisons to the Venturini algorithm and the space vector modulation method are given, simulation and experimental results confirm the algorithm.