I don't believe you would ever be able to run a stove or an oven on an inverter. Any appliance that generates that much heat uses way more energy than a boat sized inverter can supply. I would think on a trawler of that size and wanting to stay nights on the hook you will want a generator. On our weekend 20 foot boat we have a 1500 watt inverter and it will make ~ 6 pots of coffee before we have to start the engine to recharge the 2 batteries. But like Dj said I would have and plan to have(it came on the tug) an inverter on our Looper even though it has a 4kw genset.
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The best way to find out is get her out on the ocean, because if anything is going to happen it's going to happen out there.
"Captain Ron"
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