Our Hurricane came with a 1000 watt pure sign inverter, the TV's, DVD player and associated outlets and outside mini fridge are the only thing that are powered through the inverter.
When the outside fridge is left plugged in and the living room TV is on with a Playstation plugged in and operating, any time the fridge compressor kicks on the inverter will throw an AC overload code and shut down.
Long story short, more power and more inverter is the way to go.