You're taking this too extreme with this NASA mathematics routine of yours. So many people live in Alaska off grid as we speak and did not sit around calculating with mathematical precision specific BTUs to live there and bring in MIT Cal Tech engineers...Did you calculate the difference in Watt per square meter (or whatever surface area units imperialists prefer) for solar energy impinging perpendicular on a surface for Washington state and Alaska??
^ThisIf you in don't understand the energy density difference in solar irradiation between AK and the northern contiguous US,.then you're going to be disappointed.
I've been doing a lot of numbers crunching and using A.I., take that with a grain of salt...^This
Average daily W/m^2 is a pretty standard unit of measure when building a system, not limited to rocket scientists. On a perfect day in the dead of winter, you'll see 100W/m^2 for the whole day. However. the average is 0.0 kW/m^2 per day in the month of December. To put that into perspective, you need about 5-6 panels at the perfect angle with no inverter/converter loss to power a desktop computer for an hour. Like I said before, I hope you're coming with a lot of money. And please spend it in-state, our local schools desperately need funding from sales tax.
What doesn't have failure points in very cold weather? There's no perfect solution. The DS Stoves water heater has fewer failure points than the Toyo water heater.Just to dummy check your numbers, you'll need 32 perfectly efficient panels and perfect conditions from November-February to meet your daily need with zero surplus. You probably need to triple that number to produce the reserve you're expecting and make it through days with less than ideal conditions. If you're converting to ac, you also need to take into account a 5-10% conversion loss. Even if you install everything yourself, you're looking at 90 panels and 50 135ah 24V batteries. Up here, that's about $100k in those two materials alone, if not more.
I guess I'm having a really hard time understanding why you want to make this as complicated and expensive as possible. Your coal stove/water heater alone has multiple failure points, some of which would disable your hot water or home heating. Plus coal is an absolute pain to deal with and you still have to haul it and store it just like firewood. If your electric system needs a backup generator, why not just use the generator in the first place? Also, I believe those Arctica air heaters use an electric fan, making your argument against a Toyo stove a moot point.
The greatest aircraft engineers in the world(Skunkworks) rely on the KISS principal; if it's good enough for them, it's good enough for the rest of us. Catalytic wood stove, diesel genny, diesel hot water, relatively small battery bank, backup diesel heater. Easy-peasy. Save your money to buy quintuple-pane, argon sealed windows or some other nonsense instead.
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