I. Introduction
Brazil is a country with continental dimensions and in some regions (rural areas or remote locations) the power distribution system is typically a single-phase type. The cost to change from a single-phase to a three-phase power system is often high due to the high cost associated with a three-phase extension [1] . In rural or remote areas, the use of three-phase induction machines is preferred instead of single-phase induction machines due to its advantages such as low cost, lower volume, redundancy, etc. [1]–[3]. However, even if a three-phase voltage source is available, a power converter is needed to allow speed or torque control of the induction motor drive. But, if only a single-phase utility is available, a single-phase to three-phase (1ph-to-3ph) converter is indispensable to feed a three-phase motor. Furthermore, nowadays some rural loads, e.g., electronic power converters, computers, communications equipment, etc., demand high power quality with sinusoidal balanced three-phase voltages [4], [5].