There is merit to lifting large loads like this, but IMHO they should be concentrating on weight instead of distance. Which basically takes us back to pumped hydro because we just don't have anything on the order of a million tons or more that can be moved cheaply and easily. I could maybe see a large carpet rolling a layer of sand or stones up into a cinnamon roll so it's self supporting. Probably not the safest place to stand under though!
If someone started with a hill or mountain at an almost suitable grade, then what they dug out to grade the slope properly could be put in second hand shipping containers at the top of a hill. Bring the containers up or down one at a time to get the power in or out.
Maybe have some one site solar or wind generation to try to bring and extra container up every once in a while.
People generally don't want steep slopes for much anyway so even the property ought to be cheap, it could even be municipal property for maximum cheapness.
The hardest part of any of this is the all electric trains with efficient regenerative brakes.
But a dry system, relying on weights? There isn't a material that is dense enough to make it worthwhile. Even a boxcar full of granite would need to be orders of magnitude heavier than it is for gravity storage to be economically useful.
Ballast is > 100x cheaper than powerwalls by the kWh in your equation[1]. 10 tons of rock just 5 m^3, you can put hundreds or thousands of this size of rock in a train[2]. You load/unload ballast instead of having all of it statically bolted onto rails and cars, so you get by with 1/50..1/100 carrying capacity[3] per trip vs total ballast amount.
The amount of raw materials (lithium mining and refining etc) required by the powerwalls is probably much higher too - good lithium deposits have ~ 1/100 of lithium content and turning ore into batteries is a heavy process consuming a lot of water, electricity, fossil fuels (ore transport/mining) etc. Not to mention limited battery service life.
[1] 2x powerwalls = $16000, even building material grade gravel is < $300 per 10 tons (50x cheaper) but here you could use sand or something from the site.
[2] big ore transport trains carry 10000-40000 ton loads, so 1000-4000 of our 10t rocks per train. You would probably use a smaller train for energy storage purpouse since the distance is small and you can have quick load/unload turnarounds
[3] if aiming for 1-day charge capacity, you can fit 100 15-min round-trips in 24 hours, or 50 30-min round trips
Lithium systems are going to wind up being cheaper overall because of all of those costs, plus operating costs.
https://www.amazon.com/CMS-Magnetics-Holding-Neodymium-Count...
Yes - that's a penny for comparison.
Gravity is soooo weak.
The Earth in that fight, on the other hand, is doing it with its center of mass (which is the relevant distance) about 6.7 x 10^6 meters away.
Squeeze the Earth down to the size of the magnet so you can move it close to your object too, and it won't seem so weak. The magnet would still win, I believe, but not by nearly as much.
But still, to see how incredibly weak gravity is consider that you don't even have to consider the gravitational pull of the magnet. Even if you walk next to a mountain you don't have to think twice about falling toward it. Gravity is negligible at even monstrously huge scales! It's just not a very large force at all, compared with magnetism, electricity, or e.g. solar radiation. It's truly weak. I've never had to think about the gravitational pull of any object other than literally the Earth or maybe occasionally the moon (which has a mass of 7.35x10^22 kg, or 1.2 percent of Earth's mass -- i.e. the Earth and the 5 septillion kilos I quoted is only 81 times as large.) The everyday pull of objects (for example the pull by which the building next to you right now is attracting you) is so negligible. It's weak!
[1] https://www.quora.com/If-the-earth-shrinks-half-of-its-radiu...
What I wanted to convey was that if you could get the mass closer to the object, you wouldn't need anywhere near 5.972 × 10^24 kg anymore. For instance, if you had a sphere whose center of mass was 1 m from your test object, and wanted it to exert the same force that the Earth exerts 6.7 x 10^6 meters from the object, you would only need your sphere to have a mass of 1.33 x 10^11 kg.
If we were using a sphere small enough that we could get its center of mass 10 mm from our test object's center of mass, it would only a mass of 1.33 x 10^7 kg.
So, the magnet is still winning in the sense that it still takes a lot of mass to counter the magnet, but we're talking 10^7 kg, not 10^25 kg.
which, let's not forget, is still 10,000,000 kg!
But it gets worse. The thing I quoted, which generates 150 lbs of magnetism -- only weighs 0.3 ounces!! (0.01875 lbs or 0.0085 kg).
were your figures for 150 lbs or for 0.018 lbs of gravitational force from a point source? :)
Instead of fuel cells (which are still expensive and relatively low capacity), using excess electricity to electrolyse water.
The oxygen and hydrogen can be stored in tanks, and when you need the power it can be combusted, generate steam and drive turbines.
There isn't really any new technology here, so it should be relatively cheap and quick to setup too. What am I missing?
The other problem is that the round-trip energy efficiency isn't great. You might expect 75% efficiency for electricity-to-hydrogen from electrolysis and then 60% hydrogen-to-electricity if you burn it in an efficient combined cycle gas turbine for 45% efficiency overall. Oh, and you irreversibly lose energy as heat when you compress the hydrogen, for further losses. And it's pretty expensive to buy big industrial-scale electrolysis units but run them only during the few hours each day when there's excess renewable energy you want to store (though it becomes a more attractive idea as the penetration rate of renewables, and corresponding excess generation times, increase.)
If anyone had looked at the amount of energy that goes into an ICE car versus what makes it to the rear wheels, would we have autos today?
:P
Each Tesla powerwall holds 14kWh for around $8000 each, and that price may fall over the.