Abstract: Current-source inverter (CSI) is considered as a promising candidate in modern drive systems, for its higher reliability, lower current harmonics, and improved electromagnetic compatibility (EMC) performance. The dc-link inductor is employed in the CSI topology as the energy storage element, which exhibits better resistance capability on the short-circuit fault. Filtering capacitors are connected in parallel with machine windings on the output terminal to bypath the switching harmonics. The five-phase CSI-based machine control scheme is investigated in this paper. The five-phase CSI with half-bridge topology is utilized and the windings are connected to the neutral point to eliminate the zero-sequence current. The mapping of fundamental and 3^rd harmonic vector planes is presented and the synchronous vector modulation technique in dual spaces is proposed to suppress the 3^rd harmonic current. In concern of the CL resonance phenomenon in CSI, the active damping strategy is proposed based on the phase current feedback to attenuate the resonant components and improve stability performance. Experiments are performed to validate the proposed schemes.