Continuous + surge watts to the right inverter
Continuous rating = simultaneous running watts + ~20%; surge rating must cover the biggest motor start (2–3× running). Always pure sine wave, and size the DC cable to the current the inverter pulls, not the load watts.
Continuous rating
1000W
Minimum surge rating
2000W
DC draw at full load
~91.7A
Size inverter cable & fuse to this
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Add up the watts of everything you will run at the same time, add ~20% headroom for the continuous rating, and make sure the surge rating covers the biggest motor start (fridges, pumps and power tools can surge 2–3× their running watts).
Pure sine wave. Modified sine can damage motors, chargers, CPAP machines and some electronics, and runs others hot or noisily. The small saving is not worth it.
A 1000W load at 12V draws over 90A from the battery once you allow for conversion losses. That is why inverter cable and fuses must be sized to the DC current, and why big inverters need a lithium bank.
Only with a large inverter (1500W+) and a big lithium battery with heavy cable. A 2kW kettle can flatten a 200Ah lithium bank in under an hour, so many vanlifers use gas for boiling instead.