I. Introduction
In Recent years, multilevel inverter has caused great concern and has been developing extensively for medium- and high-voltage applications [1]–[4], such as electric propulsion, traction drive, and renewable energy sources. In the process of multilevel inverter development, the most popular topologies can be divided into three groups: the neutral point clamped (NPC) inverter [5]; the flying capacitor (FC) inverter [6]; the cascaded H-bridge inverter [7]. Among them, the FC inverter has some merits including of only one dc power supply, with merits of modularity, flexible control and lack of unbalance in the split dc-link capacitors. On the other hand, the FC inverter has an obvious demerit in that it needs additional flying capacitors to generate multiple voltage levels, where the volume, weight, and cost are of crucial importance. Hence, there is an important concern in design and selection of flying capacitors, with one basic idea to achieve smaller capacitance.