Sounds like low voltage and that'd be my first suspect. Get a voltmeter and check voltage at the pedestal on each leg (assuming it's 50 amps with two AC units) and report back. It's a common issue in the summer with everyone else running AC units. Older CGs are more susceptible to this problem. Low voltage can damage AC units so you definitely want to make sure it's okay. If below 105 volts, do not use AC units. An AC unit draws more current as the voltage goes down.
Only way to overcome low voltage is to use an autoformer. Some CGs don't allow them so check first. Sometimes you can move closer to where the transformer or distribution panel is located. A section of 50 amp pedestals in a CG should have better voltage.
Other causes could be a bad 20 amp breaker, CG wiring issue, bad shore power cord to pedestal connection. If it's a 30 amp service, running two AC units is likely the cause.
Low voltage is when you really want to have a Progressive Industries EMS unit which will automatically shut you down (as well as other electrical issues). A "surge suppressor", if that's what you really have, won't protect against low voltage.