**5. Conclusions**

This paper proposed a minimum 2ω inductor current ripple modulation strategy based on the thought of ripple vector cancellation. The ripple generation and transmission mechanism models for single-phase QZSI are built, which reveals the causes of the 2ω ripple in the DC side. The <sup>2</sup>ω-compensated variation of the shoot-through duty cycle used to cancel the 2ω ripple of inductors was obtained and added to the constant shoot-through duty cycle. The proposed modulation strategy in this paper can effectively reduce the 2ω current ripple of inductors and slightly reduce the 2ω voltage ripple of capacitors without adding any active or passive filter branches, and a small value of inductors and capacitors are used to receive the same effect of the ripple suppression compared to the CMS. Some comparative evaluation of simulation and experimental results demonstrated the effectiveness and validity of the proposed RVCMS for the 2ω ripple suppression of single-phase QZSI.

**Author Contributions:** Y.T., conceptualization, methodology, and writing—original draft; Z.L., resources and writing—review and editing; Y.C., supervision and technical analysis; R.W., formal analysis and investigation.

**Funding:** This research was funded by Fundamental Research Funds for the Central Universities of Central South University Central South University, gran<sup>t</sup> number: 502211922.

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