I have a 3000 watt 'Peak' inverter MSW, which runs a 1600 watt microwave perfect. It sounds ever so slightly different.
Looks like this one. It runs my LED tv, fluorescent lights, computer, power saws, fridge, fans. But don't run a 16k Cruisair heat pump, it wont work, it might burn it out!
I put a lockout circuit relay on the heat pump, so if inverter comes on, it open the power relay cutting power inline to the heat pump. Makes it sort of dummy proof.
Relay causes a delay, so energy first goes into the solenoid pulling the contacts open.
Mine I bought on ebay for $150.
I have a digital power meter, it reports about 15 amps running the microwave.
Interestingly, the meter says the volts go from 110 vac to 117 vac when running the microwave, so the inverter might boost the power on a bigger load.
I run this into my boats AC power system. I found that it works fine with Leviton and Hubble GFCI with no buzzing. Other GfCI did buzz. I bough new 20 amp Hubbell GFCI, they are good quality on Ebay cheap. I put the inverter output through a GFCI so it makes it much safe, IMO.
So I also opened the inverter, and hard wired, bypassing its output plugs, into a metal box I made having the cutout relay for the heatpump and a GFCI.
Any MSW inverter, you must never ground the neutral, it will either damage the inverter or it will just turn off on overload protection. Some inverters, you can ground the inverters. MSW inverters carry 60 volts ac on each power wire.
Neutral is never a ground anyway in any electrical system except at a generator or grid power, or a distribution panel. Regardless of any type AC system, power always flows on the neutral. My boat panel has no neutral to ground connection, it is like a sub panel, the neutral ground connection is onshore.
My boat gen has the neutral ground bond, but it is disconnected when off on both poles, hots and neutrals, so not a problem with the MSW inverter powered neutral wire.
All disconnecting power sources must on a boat disconnect hots and neutrals anyway, so everyone's boats should already be wired correctly.