I've only had experience playing with the 15" Compaq TFTs at work, so I'm not sure if they are "typical" of what to expect when it comes to these little fellas... but the power adapter is not a generic PC power one.
The transformer connects to the monitor with a tiny lead as you'd expect, but the connector from there to the mains is a strange triangular-shaped (made from the 3 cores) plug.
Is it the case that most monitors have their own adapters, or is it (now?) more common to have the transformer have a regular PC power connection type (as laptops tend to)?