Abstract: For paralleled converters with separate DC links, not only the problem of zero-sequence circulating current exists, but also the allowed control bandwidth of the machine-side converters is limited, and thus lowers the stability compared with the single converter drive. As a result, instability may even occur when the current regulators are designed based on the stator voltage equations. In this paper, the paralleled converters and the machine are regarded as series-connected system, and their impedance model is built in the frequency domain. By the stability theory for the series-connected system, stability of the drive with paralleled converters is analyzed deeply, and the instability phenomenon is explained clearly in theory. The parallel drive system is taken as a whole to perform control design, which will influence the flexibility of the system. To control each converter independently, a current controller design strategy based on the inductance in the AC output of each converter is proposed in this paper. Compared with the design based on the stator voltage equations, this strategy can decide the allowed bandwidth more accurately. Consequently, the stability is improved. The theory analysis and the design effectiveness are validated through simulation and experiments.