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Abstract This paper presents a comparative study of five hysteresis-based current-control algorithms applied to a grid-connected voltage source inverter operating as a bidirectional AC/DC converter. A linearized analytical model of the inverter–grid system, based on a current-generator representation of the intermediate DC circuit, is used to derive closed-form relations between phase currents, displacement angle and power factor. The algorithms — analog comparators, periodically sampled comparators, delta-modulation sampling, double hysteresis zones, and longest-operating-time vector selection — are characterized by switching count, Tmax/Tmin ratio, average DC current and total harmonic distortion (THD). Simulation results show THD between 0.26 % and 0.60 % at switching counts ranging from 549 to 1344 transitions per period. Experimental verification was carried out on 6.1 kW and 50 kW induction machines with control implemented on a TMS320C25 DSP. The results confirm the validity of the model and provide quantitative guidelines for algorithm selection. Key words: Current control; mathematical model; hysteresis algorithm; vector.
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