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How difficult would it be to make a simple 5kw inverter?

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Seekonk:
I see MPPT as implemented in many solar controllers as a running joke and very easily get lost. No, you don't need an inductor to be efficient. A decent design for a capacitor bank is needed keeping the delta V under 3%. Pseudo tracking can be done via a temperature tracking of a small metal plate exposed to similar sun conditions.  This allows it to be used in parallel with a MPPT charge controller.   With dropping voltage on a fixed resistance you have pretty much lost it. As these tend to be self powered very early morning tends to be the most dangerous time for these circuits. Under voltage is a serious design concern many ignore. Lots of designs oscillate like crazy. This design has been used successfully around the world. I fully agree that that most people heating water have no idea what they are doing.

Siwastaja:
Assuming "heating water" doesn't mean extreme temperatures (hot steam), using air-to-water heat pump would be a great idea given the limited power source. At dT=50degC, i.e., going from +20degC to +70degC or from -10degC to +40degC would typically result in COP around 2.5 to 3, meaning you get 2.5 to 3 kW of heat out of 1kW of electric power.

G7PSK:
The usual thing is to dump excess power straight to an imersion heater, a standard imersion heater works you may need more than one in the tank to use all the power. Have a \look at this \mans videos as he has been at the echo/green thing for years.https://www.youtube.com/results?search_query=andy+reynolds  He even runs classes or did before the CCP plague.

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