In one embodiment, a voltage discharge (VD) system has a slow VD subsystem that provides two concurrent discharge current paths to at least begin to discharge both positive and negative voltages: a first path from the positive-voltage node to ground and a second path from the positive-voltage node to the negative-voltage node. In addition to this relatively slow VD subsystem, the VD system can also have a conventional fast VD subsystem that is turned on after the slow VD subsystem has reduced the positive and negative voltages to some degree (e.g., half of each charge removed). Such a VD system can eliminate dangerous overshoot conditions, even when control-signal skew is present.