It does sound like a bad connection. Are you plugged into a 30 amp receptacle at home? That is normally a good thing. Even if plugged into a 30 to 20 amp adapter, the A/C alone should work normally, I did that for years while living at a house inside my RV.
Put a load on your RV electrical system, I suggest not using the very expensive to repair Air Conditioner. You could microwave some water, or run a 1,500 watt heater (my choice). With the heater or microwave running, check the voltage drop. Say it drops from 119 to 115, this is basically normal, and acceptable for the three electrical cord connections with a 10 amp load, the 4 volt drop will be about 40 watts, making a small amount of heat in the cord, and it's connections. However if the voltage drops from 119 to 109 with a 10 - 14 amps load, then it is to much voltage drop, and one of the connections should overheat enough to identify it. Shut off the heater after running it about 10 minutes. Unplug from shore power, and feel each connection. Feel each cord, touch them just a second at first, it might be as much as 130F, but normal is only about 5-8F above the outside air temperature.
If you find one really hot connection, you have something else to replace.
If you are using a 14 gauge extension cord, it is to small to run the air conditioner - without a voltage booster. 16 gauge extension cord is even smaller, and will give to much voltage loss at 10 amps.
I would run my air conditioner at 108 volts, but not below that amount. I have a volt meter designed to stay plugged in all the time, and it has a large enough digital readout to see it from a couple feet away. You can do a search for "Kill-a-watt" on e-bay and find several vendors - for about $20 - $25 range.
Fred.
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