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In this article, a new basic unit for cascaded multi-level inverter is proposed. This inverter is able to increase the number of output voltage levels and reduces the number of power electronic devices. To generate all voltage levels at the output, five different algorithms to determine the magnitude of DC voltage sources are suggested. This inverter is compared with conventional cascaded multi-level inverters. The comparisons show that the proposed topology needs fewer DC voltage sources and power switches, less variety of the magnitude of DC voltage sources, and smaller amounts of blocked voltage by switches. As a result, the installation space and total cost of the inverter decrease. As it is impossible to use charge balance control methods for the asymmetric cascaded multi-level inverters, the developed topology based on the proposed cascaded inverter–the sub-symmetric topology with the usability of charge balance control methods–is proposed. A new algorithm is proposed to determine the magnitude of DC voltage sources. In addition, full-wave and half-wave charge balance control methods are applied in the proposed developed topology. The accurate performance of the proposed topology by applying charge balance control methods is verified through the simulation and experimental results of an 81-level sub-symmetric inverter. [ABSTRACT FROM AUTHOR]