First thing, you are measuring volts not amps. Not a big deal in terminology just wanted to let you know. The GOOD thing is that you have a voltmeter that you are using. I applaud you for that as many people ask for solutions to power problems without ever measuring anything. I also should mention that you should be very careful when measuring these voltages as they can be lethal if you are careless.
109 volts is not good with no load. It should be closer to 120. Sounds like there is some sort of resistance in the circuit because that is what resistance does. With no load you will read full supply voltage and when you start pulling current the voltage will appear across the resistance and drop at your load. This could be a bad power cord or its connection, a weak power line, etc.
You didn't mention what power you are feeding your rig - 50 amp, 30 amp, or 20/15 amp. It does matter when trying to measure part of the circuit which I will explain. If you have a 30 or 50 amp power outlet that you are plugged in to, I would recommend using an adapter that allows you to plug in to a standard 15 amp outlet as this will make the first measurement much easier.
The first thing to verify is the source voltage when you turn on the rig's breakers. If you are plugged into a standard outlet and can back out the plug just a bit, you can measure right across the spade prongs while it is plugged in. The voltage at the power outlet should remain fairly constant when you apply your rig's loads. If it starts out at 109 and then drops to 15 volts at the outlet when you turn things on, the problem is in the power line to the outlet. Try plugging into a different standard outlet to verify. With a voltage surge things could have gotten fried upstream.
If the voltage at the outlet remains good, measure at the other end of the rig's power cord. If you have good voltage at the outlet but it drops way down at the other end of the cord when loads are applied, you have a problem with the power cord. Since you have a new one you could swap it out and probably solve your problem.
All of this assumes that you do not have a built-in surge suppressor in the rig. If there is one I would look heavily at that.
Please let us know your progress.