Um, Rednet boxes are earthed because of code and UL etc rating requirements, not because of the 51Vdc the SMPS generates (with very low current), and the 2 we use (D16 and RN3) don't actually use this voltage, at all.
As for the polarity confusion, let me try and make it simple.
These LPS's I have used and described, are like a car battery.
They have a + connection and a - connection, with 12Vdc (5Vdc for our LPS's) between these 2 connection points.
And you don't want to connect batteries (nor LPS's) backwards, because that lets all the magic smoke out of the unit and turns it into a 'brick'.
Does this help?
JJ