A step wave power converter comprises multiple different bridge circuits configured to convert DC voltage inputs into AC voltage outputs. A controller is configured to estimate an average voltage output from the multiple different bridge circuits for controlling the current output from the multiple different bridge circuits. The number of bridge circuits needed to provide the estimated average output voltage is identified and the identified bridge circuits controlled during a next switching period to generate a combined inverter output voltage that corresponds with the estimated average output voltage.In another embodiment, one or more transformers are associated with the different bridge circuits. Inductors are coupled between the bridge circuits and the primary windings of the associated transformers. The inductors filter the current output from the bridge circuits prior to feeding the current into the transformers.