The problem is you have at least two 20 amp circuits (one is the GFCI circuit) plus the inverter outlets and if they were all ganged together, you would be limited to just 20 amps when on shore power and 15 amps on inverter power. Larger coaches use two hybrid inverters with a large 600 amp-hour battery bank. It is cost efficient (in my opinion) to add a second inverter and bypass relay to supply the few circuits you might need for battery power while not on shore power. Then there is the problem the CFCI circuits do not play well with inverters. The whole system needs to be re-engineered - big battery bank, big circuit breaker, large battery cable to inverter and at least another 2,000 watt inverter. Connection of the new inverter to the power center and Romex to the duplex receptacles is relative easy.
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Jim & Roy Davis
2016 Hurricane 31S
1961 Rampside in tow
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