I called a number of Central Heating contractors and also Uponor, the company that makes the controller.
I was told that the clicking noise comes from the soft-fuses inside the controller trying to reset. They said box has failed and needs to be replaced by an electrician. Since the controller is the simplest model in their range, there are no diagnostic LEDs or other features that indicate a fault status, except the clicking noise of the soft-fuse.
The repair should only be about an hours labour plus cost of a new controller box.
I'm going to go ahead and say that YES, you can do as you propose, wiring the two thermostats in parallel.
While, as others have correctly pointed out, this will not let you achieve temperature control in both the upstairs and downstairs simultaneously, I'm going to take you at your word that you simply do not want it to be uncomfortably cold in the basement when occupying the basement, and infer that you don't care what happens upstairs during those times.
In this case, go for it--install the second thermostat.
The upstairs area of the house will in fact be over-heated when you use this basement thermostat, but you may still consider the result to be an improvement over the current situation. Just remember to reset the basement thermostat to cooler temperature before you leave to go back upstairs or you will find yourself having to make the trip back down later.
The "correct" way to solve the problem is to split your system into two zones, which requires installing baffles/valves on your heating ducts/pipes, which would allow independent control of upstairs and downstairs.
If you are using traditional thermostats, then adding a thermostat in parallel will change the heat anticipator function in both of them. This is a function that reduces furnace run times to improve temperature stability. If both are always connected, lower the HA settings in each to fix.
Best Answer
All you'd need is a relay. You'll need one with a coil rated for 24VAC (or whatever the thermostat voltage is), and a contact rated to handle the current draw of the fan at line voltage.
Common
terminal of the relay.Normally Open (NO)
terminal of the relay.G
terminal on the thermostat, to one of the coil contacts on the relay.C (common)
terminal of the A/C transformer.When the thermostat calls for
COOL
, it should turn on the fan as well.Didn't add it to the diagram, but it's probably a good idea to have a fuse on the
R
wire.