Been on vacation for 10 days now. 4 total campgrounds. At first three, Fort DeSoto State Park in Clearwater, Fort Wilderness at Disney, then one in GA while hooked to shore power had no problems run...
You need to watch the VOLTAGE inside the RV. If it is less than 110 VAC, do not run your A/C. If under 110 VAC with A/C on, turn it off. Many campgrounds have too small of wiring for modern rigs, especially when full and on hot days.
Personally I carry a Hughes autoformer to correct the problem. I need it at about 20% of the CG's we visit.