摘要

Four-leg active power filter (APF) has more switching states and the voltage modulation is complicated. For simplifying the modulation, a novel three-dimensional space vector pulse width modulation algorithm (3D-SVPWM) was proposed. Based on the classification algorithm, three phase voltages of the converter were operated linearly and the inner products were obtained. By comparing the inner products, the two largest positive products were selected, which could uniquely specify the prism enclosing the reference vector. The tetrahedron identification depended on the relationships between the projections of the reference vector on the αβγ coordinate and the adjacent planes. The duty ratios of the switching vectors were given by the linear operation of the inner products. Simulations and experiments were carried out for two situations on reference voltages without distortion and reference voltages including harmonics. The results show that the proposed modulation algorithm can obtain the output voltage in agreement with reference voltage which verify the correctness and validity of this proposed scheme. Because the prism identification and the duty ratio calculation are accomplished only by the inner products, the modulation algorithm is easier for realization with less calculation.

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