It is symptomatic of a loss of voltage. The A/C tries to draw full power, and the voltage drops, current goes up, and things fizzle and smell bad.
This is usually caused by a loose connection somewhere either in the feed out to the air compressor, or back from the air conditioner.
In your case, because you have had trouble with both A/C's, it is quite likely in the breaker panel and it could be either the feed to the positive buss in the panel, or the feed to the negative connection buss in the panel. Remember, the wires that are in your plugin connection feed that panel. Having a loose wire there would definitely cause your loss of starting voltage.
Also, check your plug. Also check the feed where you plug in. Can you reach to a different receptacle? Maybe you already have, and that would prove it is in your rig somewhere.
If I had to bet, I would start with the negative bus connection first. While you are in there, tighten all the screws holding wires.
Mike
2012 Winnebago Impulse Silver 26QP
2005 16.6 Double Eagle
2018 Jeep Wrangler JK
previously Snowbird Campers,
Triple E Motorhome and Fifth Wheel