Citation Needed: Where did anyone get the idea that the Pyra will not ship with a power adapter?
The docking station will need it's own power supply. By definition it will be plugging into AC mains - both European 220VAC and US 110VAC. SO, it needs to be a switching/switchable power supply.
5VDC rail on PSU: It will need to be able to provide at least 5VDC @3A to charge the Pyra while it is operating at maximum draw. If we want it to have a USB hub in it capable of running an external DVD drive, then add at least 2A to the 5VDC rail. If we want the USB 3.0 host on the dock to be able to handle the whole USB 3.0 spec, we'll need ANOTHER 3A PER USB 3.0 host. Then add 1A for each USB 2.0 host. With the Pyra, ONE USB 3.0 host, FOUR USB 2.0 hosts that is 10A at 5VDC.
We also have a eSATA port that, while on just the Pyra, is missing the 12VDC rail entirely and will not be able to spin up anything bigger than a notebook HDD. I'm assuming we won't want this restriction on the dock's eSATA port - so, we need around 1A at 12VDC for this.
Now, assuming that we will have a simple power brick from the wall/mains to the dock, we'll want it to be at the higher voltage needed within the dock. It is easier to lower voltage than to bump it up. So... what we need from the wall is around 5A @ 12VDC ~ 60W ~ 10A@5VDC so a 60W 12VDC power brick is the -minimum- that should be used. Those are readily available.
http://www.amazon.com/SINOLLC--240V-Switching-Supply-Adapter/dp/B00GUBVI9K
Now, IMHO we should bump it up a notch and have a talk about doing an order through these guys.
https://www.kickstarter.com/projects/215201435/dart-the-worlds-smallest-laptop-adapter
They have a 65W adapter that could power the whole thing that has a diminutive size appropriate to the Pyra. It is, however, 3x the cost of a 'standard' giant clunky power supply/adapter in it's class.
Speaking of which - my wife's comment when she catches me using my Pandora: "The Keebler elves called. They want their computer back."