**5. Conclusions**

In this paper, the virtual space vector modulation control strategy is proposed for the AC–DC matrix converter to reduce the DC current ripple in the whole range of modulation. The proposed strategy successfully reduces the DC current ripples by reducing the longest switching period of the largest active vector and dividing one entire switching period with the five-segment optimized switching patterns. In addition, the optimized switching patterns for the zero vector are proposed to further reduce the DC current ripple at low-modulation operations. The THD value of the proposed VSVM method is slightly higher than that of the C-SVM method, this is a trade-o ff between the reduced DC current ripples and the increased input current distortion. The e ffectiveness of the proposed strategy was validated by the simulations and the experimental results.

**Author Contributions:** All authors contributed to this work by collaboration.

**Funding:** This research was supported by the National Research Foundation of Korea (NRF) gran<sup>t</sup> funded by the Korean governmen<sup>t</sup> (MSIP) (2017R1A2B4011444).

**Acknowledgments:** This research was supported by the National Research Foundation of Korea (NRF) gran<sup>t</sup> funded by the Korean governmen<sup>t</sup> (MSIP) (2017R1A2B4011444).

**Conflicts of Interest:** The authors declare no conflict of interest.
