Disclosed are an inverter control apparatus for a three-phase four-leg voltage source inverter, and a method thereof. The inverter control apparatus of the present invention comprises: a future reference current calculating unit for calculating a future reference current; a future reference voltage vector calculating unit for calculating a future reference voltage vector of a three-phase four-leg voltage source inverter using the calculated future reference current; a confirmation unit for confirming a polarity of each phase voltage of the calculated future reference voltage vector; a coordinate converting unit for converting the future reference voltage vector represented by an abc coordinate, into an coordinate; a sector determining unit for projecting the future reference voltage vector converted into the coordinate onto a hexagon-shaped coordinate system having a central axis thereof to be coincided with a axis, and determining a sector in which the future reference voltage vector converted into the coordinate is positioned, among a plurality of sectors in which a hexagon formed around an origin in an plane of the coordinate system is divided; a candidate voltage vector selecting unit for selecting a non-zero candidate voltage vector corresponding to a confirmed polarity and a determined sector using a table indicating a candidate switching state corresponding to a polarity and a sector of a reference voltage vector; and an optimal voltage vector determining unit for determining a candidate voltage vector having the minimum difference from the future reference voltage vector as an optimal voltage vector among candidate voltage vectors including the non-zero candidate voltage vector and a zero candidate voltage vector, and outputting an optimal switching state corresponding to the determined optimal voltage vector to a three-phase four-leg voltage source inverter.
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