I have been
heating hot
water through an
inverter, for years, on three different boats. Sometimes from
batteries, sometimes from an
engine alternator. I settled on a 2.5 gallon tank, otherwise known as an "under counter" hot
water heater, available from several different manufacturers. I go for the 1500 watt element, which heats water from cold in about twelve mnutes, or 300 watt hours, maximum. My
current system is the best I have had, which consists of a 2500 watt (continuous)
inverter, powered by a 400 AH
Lithium battery bank. Since the bank is
Lithium, the voltage only drops a tiny bit. 2.5 gallons (mixed with cold) easily handles one
shower, and usually two. If I happen to leave it on ( generally, I turn it off before starting my shower), it only turns on very infrequently, as the water in the
heater stays hot. So, it never threatens the
battery bank. I think the main problem that people may have is a tank that is too large and thus needs to consume too much energy. I have 950 watts of
solar, and that is more than enough for dailly needs, includig
watermaker and the water heater. Lithium
batteries are a great help, but I did not have them in the previous boats.
Heating water this way is a proven
concept....not sure why people have doubts!