... Control and Experiment of Pulse-Width-ModulatedModular Multilevel ConvertersMakoto Hagiwara, Member, IEEE, and Hirofumi Akagi, Fellow, IEEEDepartment of Electrical and Electronic ... rating of 1 to10 MVA, a dc-link voltage of 10 to 30 kV, and a switchingfrequency of 200 to 2000 Hz. Combining averaging control with balancing control enables to achieve voltage balancing of multiple ... averaging control, and 2) balancing control. A. Averaging Control Fig. 4(a) shows a block diagram of the averaging control. Itforces the u-phase average voltage ¯vCuto follow its commandv∗C,...