There are now two lines of Koralia pumps. The original Koralias run on AC current, and plug into the wall, as billsreef mentioned. An AC Koralia might work for a while with a Seio controller, but eventually the strain of frequently stopping and starting would probably break the powerhead.
The new Professional Marine Equipment Koralias run on DC current. They have a special plug that fits their own controller, and probably doesn't fit other controllers. The Koralia Wavemakers come in two versions. One controls two powerheads, and the other controls four.
Something I find interesting about the Koralia Wavemaker is that it never actually stops the blades of the powerheads. It ramps each powerhead up and down down between user-set minimum and maximum speeds. This way, it avoids the destructive effects of stopping and starting.
Unfortunately, Hydor uses the same naming scheme for both sets of pumps (Koralia Nano, 1, 2, 3, etc.). I think it would've been less confusing to call the AC and DC powerhead series by different names. (Koralia and Ailarok, maybe?)