Maybe it's just me but I have had horrible luck with cut-rate inverters. Anything from a sleaze-bag cigarette lighter model to a 2000 watt two hundred dollar model as bizarre looking as a Dyson vacuum cleaner had failed within months. The 2000 was for Jesus and the big chest freezer at the restaurant.
Made a decision -- no freakin' more chew and spit waste of money inverters. My Trace 4024 is near immortal and the Samlex PSW 300-watt has rendered six years of flawless service. As far as failure cause the cheapos died from component failure within the control primary and not within the power (FET) finals.
Cheap At Any Price means cheap quality. The Chinese spit them out without ever starting them up to check. A way around this is to find a miracle cheapo with 500 5-star reviews. Good luck.