I install inverters in vehicles all the time, 2000 or 3000 Watts is small potatoes. Service, emergency and repair vehicles commonly have 5KW inverters and more, are supplied with 1000 AH AGM battery banks, dual alternators, diesel/propane/gasoline generators that are started by the inverter, etc. We did one last week with 16 pcs of 250 AH of 6 V golf-cart type battery. Xantrex, Outback, Magnum ,Go Power, all make some of these inverters. Many are rated at 3KW continuos] .