a/c compressor kicks off below 80 degrees

[dwenrhod]

I recently replaced my compressor,accumulator,drier and pressure switch. The a/c will work fine as long as the outsde air temp is 80 degrees or more, as soon as the temp drops below 80, the compressor will kick off . I have to reset the control box or disconnect and reconnect the battery to get the compressor to turn back on. It will work fine until temp below 80.I have replaced the pressure switch. No help. New control box, no fix. I can jump the relay behind the glove box, but that keeps the compressor on all the time, not good. My pressures run around 40-60 on the low side and 220-250 on the high side. This problem is driving me crazy as it has been going on for awhile now and I need it fixed . PLEASE HELP!!!!