In practice it will depend on whether the wiring to the battery is good(big) enough and short enough, and what battery you connect it to. Otherwise it will squeal and cut out on low votage.
Welcome to the gang Warann, enjoy here and out in the playground.
I have a 1500w Inverter and have tested a coffee machine with it for someone else and worked OK. However as Jaahn just mentioned I too had to change the cable to heavy cable. I got long heavy duty battery cable from the auto shop and run directly from battery to Inverter and sit it on the table as needed. My batteries are under the seats at the table in the van.
Hope that helps some how.
Keep Safe on the roads.
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TUG.......2014 Holden LT Colorado Twin Cab Ute with Canopy
DEN....... 2014 "Chief" Arrow CV (with some changes)
I would think that the Nespresso machine would present a purely resistive load, in which case it would be the best kind of load to have. It's appliances with motors and high startup requirements that you need to worry about the most. Also, a resistive load wouldn't care whether the waveform is a pure sinusoid or not, so you could get by with a "pseudo-sine" wave inverter.
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Most Nespresso machines are electronic controlled, even though the element would be resistive load, well mine is, so just be aware the a psw model inverter would be safer.