The codes in several countries require the ampacity of the breaker and of the supply conductors must be based on the rated input current of the inverter.
The inverter input current will be based on full load current plus the maximum charging current,divided by the efficiency of the inverter.
Some codes may require the breaker and/or conductors to be oversized an additional 25%, or some other factor.
Bill
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"Why not the best?"
Jimmy Carter