[jimcol]

On a 2000 model I doubt you have an inverter. You do have a converter to make 120vac to 12 vdc. That will charge your battery and run all your 12volt lights, furnace, refrigerator control board, and probably some things I am not thinking of. Since you mentioned your TV going off I will assume the issue is on the 120 vac side. First place I would start is to insure all connection are tight. I'd start inside your breaker panel, tighten all lugs, hots, neutrals, and grounds. If the problem continues I'd do the same at your incoming plug receptacle, and the lugs on the power cord. Be sure to kill the shore power before working on it.