A power inversion system includes an input and output coupleable to a DC power and an AC load, respectively, and a power inverter including a plurality of phase legs each having two bridge legs coupled in parallel with at least two switch and antiparallel diode pairs coupled in series. The system also includes a plurality of inductors, with at least one inductor coupled between a midpoint of each bridge leg and an LCL filter, the inductors in each phase leg being magnetically coupled. The system further includes a control system to drive the power inverter in a soft switching configuration, the control system programmed to output a switching signal to the power inverter according to a duty cycle and a phase shift angle, determine a value of the duty cycle, and optimize the phase shift angle of the power inverter based on the value of the duty cycle.