Exploring the Theoretical Limit of Voltage Transfer Ratio of Matrix Converter Under the Constraint of Rotating Vector

The rotating vectors of a matrix converter are uniquely featured by producing zero common-mode voltage, and control methods using them have the advantage of inherently achieving common-mode voltage minimization. However, the existing knowledge of their low voltage transfer ratio (VTR) has made it difficult for rotating vectors to get practical applications. This paper derives the theoretical limit of the VTR under the constraint of rotating vector. Firstly, the principle of selecting the voltage vector for maximum VTR is analyzed. Then the range of matrix converter input voltage phase angle is divided into intervals, and the phase angle of the selected rotating vector within each interval is determined. Finally, through integral and average calculations, the maximum VTR, 9/
$\pi ^{2}$
, is obtained, which is more than 80% higher than that of the linear modulation limit. Simulation and experiments are carried out to verify the correctness of the conclusion.