Can I use the V1K on a single-phase voltage input system?

The V1K is made for three phase drive systems. If the drive is being fed by a single phase input power, the output will be three phase and the system will utilize a three phase motor. Because the output of the drive is three phase, the system will experience the same effects of dV/dt that a conventional three phase input power system will have. Yes, the V1K is well suited for this application to protect the motor from the effects of dV/dt.