**6. Conclusions**

The paper presents the carrier based PWM algorithm for 5L-HBT2I by using the offset function to reduce the number of commutations on the power switches. Since the phase leg switches are reduced, the number of commutations at maximum phase current are absolute, the two-level inverter in 5L-HBT2I is on six-step mode, and the switching losses of the inverter 5L-HBT2I are reduced under the proposed algorithm. The switching loss reduction value, in the proposed algorithm for 5L-HBT2I, is maximized when *m* = 0.5, that is equivalent to a reduction of 78%. Since there is no increase conductive loss when applying the proposed algorithm on 5L-HBT2I, the power loss of the inverter is also reduced. Due to no increase of THD, this algorithm not only reduces the number of commutations but also hits ME standards as IEC61000-4-30 Edition 2 Class A at small modulation indexes [28].

**Author Contributions:** This paper was a collaborative effort among all authors. All authors conceived the methodology, conducted the performance tests and wrote the paper.

**Funding:** This research was funded by KC 186 project.

**Acknowledgments:** This work was supported by the Advanced Power Electronics Laboratory, D405 at Ho Chi Minh City University of Technology and Education, Viet Nam.

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