The amplitude of each frequency component of sub-module capacitors ripple voltages is inversely proportional to its frequency in modular multilevel matrix converters(M3C). When the output-input frequency ratio approaches 1/3 under the low-frequency operating conditions

M3C will hardly work properly on account of too high a ripple voltage amplitude of difference frequency between the input frequency and triple output frequency

blocking the continuous suppression of doubling output frequency ripple voltage. This paper presents a control scheme based on the decoupled hierarchical capacitors voltages control and arm current independent control. The doubling output frequency ripple voltage instantaneous power is directly controlled by the outer loop feedback. The continuous operating frequency range is expanded because of the elimination of discontinuous points nearby or the frequency ratio 1/3 by means of current reconstruction. Finally

the OPAL-Rtlab experiments results have verified the control scheme. This work is supported by National Natural Science Foundation of China(No. 51541708).