His water is ice cold in the morning. There will battery draining. You cant have your cake and eat it. Are they having 30 minute showers in the evening? What is the hot water needed in the morning for? Cant they use the day to heat the ice cold water up again for free from the sun and if there is no sun then it will use grid if its below a certain soc. This is all on essential load. Dont think you can set soc settings for aux.
Anyway, I've said my bit. 3kW element which leaves you 5kW for other devices. 6kWp solar makes about 30kWh a day, so 12kWh into the geyser and 15kWh into the battery = 27kWh, so not much solar wasted.
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