I run a 3000w inverter with 400ah of lithium, never been near to 3000watt usage it has to be said, but often peaked at 2400w (that hair dryer issue again)
In theory I can run 3000w for about 45mins taking the battery’s down to 10% but in reality your more likely to want to run a kettle, I used a 3kw kettle when I first had the system fitted and it was fine, but the kettle I carry is 2.1kw
I would assume (and I’m far from an expert) that 200ah batteries and 3000w draw would run for about 20-25 mins, but again no expert, and can’t see what you’d be running. I chose a 3000w over a 2000w simply for the kettle and that bloody hair dryer.
I used a portable air conditioning until while away in the summer, and the batteries/inverter handled it o.k. During the evenings, but in the heat of the day I think even with 450watts of solar it would struggle.
The inverter and batteries came to be with me via a favour for my neighbour, I’m not a fitter or a dealer.
I’m selling the inverter simply to get some money back, thought I’d offer it here first. If no one on here wants it, it will go on gumtree / flee bay.