Your current thermostat has power because it's using batteries and
there's no common wire powering it. Common wire is required to be hooked
up in your air handler at the control board it will be a blue wire on
your thermostat wire coming from the the...
Before going and messing with your air handler and playing with your
transformer which is most likely a 240 volt to 24 volt step down that's
not going to be the issue causing your unit to kick on and off your
control board will control that mostly it...
Sounds to me like you got your reversing valve settings backwards or
most likely your contactor is engaging rapidly due to a thermistor on
your condenser if you have it set on auto mode and thinking it needs to
run but then realize it it doesn't it's...
