I assume you mean the Whole CoalTrol unit? the TS2 is just the Thermostat.
The Power Module/Thermostat itself (without anything hooked to it) probably doesn't draw that much power (<1amp), but with all the blowers & stoker running.. depending on the stove, I wouldn't think more than 3-5 amps total. There is a 10amp fuse on the control box. Each stove has different power requirements.
My Hyfire runs 2 combustion blowers, 2 Stokers and 2 convection fans, I haven't check the total current draw, but I am thinking around the 3-5+ amps. I know my Keystoker draws about 3 amps total with everything running.
Paul can probably give you the exact current on the module itself. I couldn't find in the owners manual.