This very favorable scaling is why natural geothermal retains heat even though the input energy was delivered gradually over as much as millions of years.
If you assume a modern house with a heat load of 1800kWh per year (fairly standard for a new build medium sized home where I live, in Northern Europe) that means you'd need a tank roughly 50m3, or 10,000 gallons for Americans. In terms of insulation you'd need around 50cm of XPS foam, and it would be buried a meter below ground.
It's nothing terribly complicated in terms of construction or engineering. Of course you'd pay more upfront, but then your heating bills would be practically zero. In warmer climates it would be much simpler, you could probably get away without burying it.
1800 kWh is very little. We use around 12000 kWh and our neighbours' new house uses around 8000 kWh annually and most of that is heating. I'm not sure how many houses can hit 1800.
A modern house in Finland needs around 15-24kWh a year of heat energy if it's well insulated. On the higher end for big + northern houses, and less if you're smaller and further south.
Some get this energy by burning wood, others with heat pumps, and some with direct electricity.
That can’t possibly heat any home for an entire year.
The ground beneath the footprint of the house was insulated around the sides to a depth of about 2m, effectively extending the thermal mass of the house into the ground. After construction, it took about 2 years (IIRC) to warm to a stable level, but thereafter required little to no energy to stay at a comfortable temperature year round.
I'd like to see the stats on temperature levels over a lifetime.
Ground source heat pumps are expensive because of the buried piping, I imagine this would be even more costly.
Because building houses is already expensive, and that would add significant amount, pushing it into "can't afford it in the first place". And zero ability to realistically service it means anything going wrong might make whole investment moot.
On top of that, any investment like that competes with "why not just put the money into low risk fund"
> 1800kWh per year
now factor in losses for months now factor the fact the energy you're using for heating is one you're not using for... energy or selling
also is that heat or energy ? Because if that's "what power heat pump used", multiply that by 3-4
It's just... expensive to do it like this. Expensive enough that most people that could did the math and it wasn't mathing
- You're talking about what heat pumps use in electricity. However, the system would store heat. If a heat pump uses 1 kWh to get 3 kWh of heat into the house, a heat based storage system needs to store the 3 kWh.
- You're confusing gas & electricity. 1800 m3 in gas would be about correct. However, that's about 9,5 kwh per m3 in heat.
There are interesting heat storage methods though, there is a long term basalt heat storage system in 'Ecodorp Boekel' in The Netherlands. It uses solar to heat during the summer and heats the homes with that in winter.
Due to size though, it only really works in 'collective' communities. The bigger the size, the more heat it can store per size.
Nowadays, solar thermal collectors are completely obsolete except in very niche applications. Solar PV is so cheap that it’s literally cheaper (not to mention much less maintenance) to wire a bunch of PV panels to a resistance hot water heater than it is to directly heat the water with thermal collectors!
Skip the tank completely. Use the ground directly. This is what geothermal heating does.
Drill a deep hole and drop tubes into it. Use a heat pump to pump heat into or out of the ground. There is so much easily accessible thermal mass in a borehole that you don’t need to deal with a giant underground water tank
Thorstein Chlupp, of Rienna LLC, built several net-zero homes in the Fairbanks, AK, area. He hasn't been active for a number of years now, but released several videos in the mid-2010s detailing his design, construction, thought, and results.
He's apparently been with NREL since 2023: <https://research-hub.nrel.gov/en/persons/thorsten-chlupp/>.
There's a nearly-decade-later review of one of Chlupp's Alaskan homes, the Sunrise House, written in 2020 (the house was constructed in 2011): <https://www.greenbuildingadvisor.com/article/the-sunrise-hou...> (paywall).
And the original video series and channel:
<https://www.youtube.com/watch?v=AtHkvpRI6fc>
<https://www.youtube.com/@REINALLC/videos>
At the core of Chlupp's homes was a thermally-stratified 5,000 gallon storage tank. This was ideally aligned vertically (to improve thermal stratification), though at least one home had a horizontal alignment. The tank was inside the core of the home, which means it occupies significant internal space. I don't know if there have been any mechanical / technical issues with the design over time, though at least initial results were strongly positive.
https://en.wikipedia.org/wiki/Geothermal_energy#Resources says 20% of the Earth's internal heat content is residual heat from planetary accretion 4.5 billion years ago, but of course that's mostly not in the crust. It also says, "the conductive heat flux averages 0.1MW/km²."
At the given thermal gradient of about 28°/km, a nominal thermal conductivity of 3.3W/m/K for granite (https://www.sciencedirect.com/science/article/abs/pii/S00137...), we can derive a heat flow rate, which works out to 0.09 MW/km², in good agreement with the Wikipedia number. By dividing by a nominal specific heat of 0.7J/g/K and some density estimate like 2.4g/cc, can we get a speed in meters per second? The units don't quite work out; the specific heat times the density gives us 1.7MJ/m³/K.
So I guess I don't know how I came to my conclusion, so maybe it's wrong. How did you come to yours?
Put differently: If you used the same amount of energy to heat one bucket of sand by 200C (A) or two bucket of sands by 100C (B), you would be able to recover more electric energy from case A because of the fundamental Carnot Limit. This is why sand is a good storage medium (as opposed to e.g. water), and why some solar power systems work with molten salts. Also why steam-based power plants need to operate at high pressure to be able to obtain high-temperature steam.
Using heat for heating has many redeeming qualities. Heat is high entropy and it is not a good idea to "waste" low entropy energy to create high entropy energy. Many industrial processes run on heat and waste heat is generated everywhere. The systems are also cheap to run once in place.
Changing to a different central source of heating (i.e. storage) seems orthogonal.
But going with larger structures probably means aggregation (fewer of them are built, and further apart). Assuming homes to be heated are staying where they are, that requires longer pipes. Which are harder to insulate. Because geometry.
The conversion to electricity loses energy, but I assume the loss is negligible in transmission, and then modern heat pumps themselves are much more efficient.
And the average high and low in February in 26°F and 14°F according to Google, while modern heat pumps are more energy-efficient than resistive heating above around 0°F. So even around 14–26°F, the coefficient of performance should still be 2–3.
For electricity-to-heat conversion, heap pumps are indeed much more efficient relative to resistive heating, yes. About 4 times more efficient.
In absolute terms, though - that is still only 50% of "Carnot cycle" efficiency.
https://en.wikipedia.org/wiki/Coefficient_of_performance
Similarly, heat-to-electricity conversion is about 50% efficient in best case:
https://en.wikipedia.org/wiki/Thermal_efficiency
So, in your scenario (heat->electricity conversion, then transmission, then electricity->heat conversion), overall efficiency is going to be 50% * 50% = 25%, assuming no transmission losses and state-of-art conversion on both ends.
25% efficiency (a.k.a. 75% losses) is pretty generous budget to work with. I guess one can cover a small town or a city's district with heat pipes and come on top in terms of efficiency.
Heat (above 100C, say, burning garbage) to electricity: 50% (theoretical best case)
Electricity to heat (around 40C): 200%-400%
Net win?
The surplus energy comes from air or ground temperatures..
Yes you cannot heat back to the temperature you started with but for underfloor heating 40C is plenty. And you can get COP 2 up to shower water of 60C as well.
Alternately, if you are going to deliver the heat at low temperature to a district heating system, you might as use a topping cycle to extract some of the stored energy as work and use the waste heat, rather than taking the second law loss of just directly downgrading the high temperature heat to lower temperature.
High temperature storage increases the energy stored per unit of storage mass. If the heating is resistive, you might as well store at as high a temperature as is practical.
Gas-fired heat pumps have been investigated for heating buildings; they'd have a COP > 1.
I am interested if there are any cheap small scale external combustion engines available (steam? stirling? ORC?)
There's no way around it: We have to respect entropy.
I live in Denmark the powerplant that heats my home is about 30km away. There are old powerplants in between that can be powered in an emergency.
Yes, building district heating systems that large is difficult and expensive, it wasn't built yesterday, more like 50 years of policies.
ps: living in an area with a high price per square meter goes against this strategy unless you manage to share a freezer
> [250MWh] held in a container 14m high and 15m wide
According to Gemini 3.0 Pro, lifepo4 is 1.5-3.5x more dense than this, which isn't bad. 250MWh is a lot of capacity for such a small land footprint. At 2MW it can power ~2000 homes for ~5 days while taking up the land footprint of ~1 home.
What's the price? And how does the price scale with capacity?
In the past, district heating systems burned coal. Now that's out the window we haven't got enough to burn. We do burn waste products from forestry, trash and the like but there's not enough to go around before you start felling trees en-mass just to heat a city.
A lot of municipalities in Finland are now starting to play with thermal storage. There's this sand battery, but there's even more hot water storage being built and has been built.
In the medium term, winter electricity production and consumption is starting to become a bit of a risk for us.
Most homes don't need to have their own electricity generators, their own sewage treatment systems, or their own water wells, they hook into utility infrastructure.
In a lot of european towns and cities, heat is also a utility you can hook into, e.g. my apartment has no heating infrastructure in it, we just get all of our heat through a pipe connected to a nearby heat reservoir that's primarily loaded with waste heat from a gas power turbine. Within the next couple years though, the heat from gas power will be supplemented with the biggest heat pump in the world though [1]
It's not just a city thing though, I have friends who live in a village of 300 people in the Alps and they also have a utility district heating system in the village.
[1] https://www.man-es.com/company/press-releases/press-details/...
Finland is not near the North Pole. Lahti is at 61°, right in the middle between Greece and the North Pole.
But yes, heating needs are higher than in most European or North American populated areas.