For giggles, I hooked up my QP1800 inverter to see how it worked. I have to say, it's impressive how fast heating coils can bring a power system to its knees. We have a rapid water boiler (for hot chocolate, tea, etc) rated at 1650W, which when I kicked it on, I thought it was going to stall my engine. The 200 A alternator immediately jumped up its load which strained the engine for a few seconds until it stabalized-and this was with the hand throttle locked at its fastest position. I'm sure part of this is due to one of my batteries failing and not being able to provide adequate power on its own, leading to it not being able to provide major amperage. The load pulled down from the inverter read out around 55 A, which is exactly why the QP1800 mandates that your vehicle has at least a 100 A alternator installed to utilize it. This system is clearly meant to supply power while running down the road to on-board devices such as radios or chargers, not so much for being a back-up power source for your kitchen.
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Still, it does have a good write-up for how to properly ground the inverter to a true earth ground in order to safely use external devices.