Bigred205

I have been having issues with my suburban's A/C. In the Summer time with A/C is on. If the battery gauge on the panel shows at 14 the A/C runs fine but if the battery drops around 13 it quits blowing cold air. If shut off the suburban and turn it back on it goes back to showing battery at 14 it will blow cold air. I've taken it to different people they've checked the A/C and said its working fine. Ive replaced the battery and didn't fix the issue. I was hoping some could help me out.