https://medium.com/hackernoon/the-magic-of-heat-pumps-fd2721...
https://medium.com/hackernoon/the-magic-of-heat-pumps-fd2721...
Gas Furnace: 1 Therm = 29.3kWh, Cost $1.5 (at least where I live), Furnace efficiency = 95%. Cost per kWh heat delivered = $0.053.
Heat Pump (COP=5, EER=17): 1 kWh = $0.14, COP =5, Cost per kWh heat delivered = $0.028.
Heat pumps are quite a bit more expensive to install though.
(NG fireplace heats the air, air heats the hybrid water heater coils, which heats the water via refrigerant and a noisy compressor. Instead of NG just heating the water directly.)
Have both bath water and central heating run off that.
Pipes vs. PV taking heat pump characteristics into account, whose efficiency depends on climate. Installation costs, maintenance costs. The Pipes compete for real estate space against the PV, so if pipes are more efficient, does it off set the lost electricity (that would be more expensive, but cheaper than from the grid, but only when it's sunny and you can use the appliances at that time, unless you have a battery which is more capex, so does the interest/repayments on that cost get offset by using electric 24/7). Etc. Etc.
It might need some ML to figure out the best solution. And by ML I mean linear regression.
*At least that was the way it seemed from my research, similar situation 6.66kw solar on roof, functional gas hotwater. We do have both Gas and Heat pump house heating/cooling. Heat pump is much cheaper, gas is much faster, even running the largest size possible ducted heat pump split system. I have the gas warm the house from 6am to 8am, then heat pump take over for the rest of the day.
Daikin RXYMQ6AV4A 2 x Daikin FXMQ80PAVE
My suggestion is when you get your solar system installed have the electricians run a 30 amp circuit and disconnect to the water heater location. That way you'll be ready to go. Otherwise you can get stuck if you current water heater dies. You'll be basically forced to replace it with a new gas heater.
Also I saw a youtube video by a off grid nut talking about installing a heat pump water heater. It worked, the only problem it had was the AO Smith unit he was using would test it's heating elements on startup. Which would overload his inverter. I think he fixed that by getting higher resistance heating elements. Otherwise the current draw in heat pump only mode was 300 Watts.