The key principle of bulk energy storage is E = Fx, applied liberally worldwide for centuries. It is taught to every freshman engineering student. Nothing blocks further application of the principle, at any scale.
And as has been pointed out numerous times, no existing alpine lake is needed for hydro storage. And, the site does not need substantial "transportation infrastructure". Dozens of hydro dams, still in use, were built in California's Sierra Nevada mountains in the 1920s via roads a car cannot use.
Hi there, I graduated engineering and am currently applying for professional licensure. I took only one course focused on energy, but I've never heard of E=Fx. Googling it brought up no relevant results. Could you expand on what it is?
This all sounds well and good, however it’s highly unclear that utility scale pumped hydro is viable. To make it work you need to have plentiful water, limited evaporative loss/other losses, and two large basins to store both the charge, and discharge of water.
In the event of drought, these facilities could become impractical. Hydro facilities have their own environmental concerns. Combined with shifting climates and rainfall patterns there are many challenges to be solved. (some of which go away if the hydro storage is in underground ceiled chambers… which also has a cost associated)
Pumped hydro is practical in many, many more places than have hydro generation today, because unlike those, it does not need a watershed. It can use a deep underground cavity where a hill is not forthcoming. Where water is scarce, other methods will be used.
Other applications of Fx include (but are not limited to) compressed air, and buoyancy.
Places that run low on storage resource can import and burn fuel, as they do now, or schedule power from a transmission line, where they have one. Soon, liquified anhydrous ammonia will be cheapest and most practical, but liquified hydrogen may be cheaper and sufficiently practical for bigger utilities. Ammonia has the advantage that it does not need cryogenic treatment. These will be available from numerous tropical sources.
If you get a professional engineering license without recalling basic Newtonian physics, that just tells us the licensing process has utterly failed us.
I may, but I live in a country that doesn't use the word freshman, so I don't know which year physics text that would be.
I assume from context you were meaning to refer to gravitational potential energy, which is generally represented as ∆U=mg∆h (change in gravitational potential energy equals mass times gravity times change in height). The variables you used (E=Fx) would mean energy equals force times (variable). From dimensional analysis the variable would have to be units of length (m), however it clearly only applies in the vertical dimension so it's better to use a specific variable like ∆h
Regardless, energy storage via gravitational potential energy (i.e. pumped storage) has been in use for about a century, and still makes up a rsmall proportion of grid operations. It has very specific requirements that aren't available everywhere. It's not an end-all solution for energy storage.
However a more general formula would be the integral of net force over distance.
Even without local "freshman" classes, you may look it up in any dictionary. Or, just stop pretending.
F may be water pressure, as in pumped hydro (which is growing) using elevated or underground reservoirs, or air pressure, as in CAES underground or underwater compressed air, or buoyancy using sea-floor pulleys and floats. No doubt as a soon-to-be Licensed Professional Engineer you will soon be able to think of other persistent forces.
Springs and flywheels will not be used for bulk utility-scale storage.
Generally, utilities will use what is cheap and reliable at the time they build it. Building storage before you have enough spare renewable capacity to charge it would be a bad misallocation of capital
Anhydrous ammonia will not be the cheapest medium, but has advantages of transportability and fantastic usefulness. Any unused overbuilt capacity will be put to work synthesizing for sale.
1. https://google.gprivate.com/search.php?search?q=E%20=%20Fx%2...
> And as has been pointed out numerous times, no existing alpine lake is needed for hydro storage. And, the site does not need substantial "transportation infrastructure". Dozens of hydro dams, still in use, were built in California's Sierra Nevada mountains in the 1920s via roads a car cannot use.
Such as? How did they get heavy machinery to these dams to build them? All of the dams I can find like the Shasta dam, Orville dam, etc are in fact close to major transportation infrastructure.
Source? I'm only aware of pilot programs in Japan and Germany, not commercial operators.
Who do you imagine you are fooling?
They are not generally made of concrete, not being deep enough to need it. Their high pressure is confined in the penstock well downslope.
No such inaccessible dams exist, and if they do they hold an inconsequential amount of hydroelectric energy. Just exercise a modest amount of reasoning: no transportation infrastructure means all work is done by hand and all material transported manually as well.
Pre industrial dams did exist, but they were very shallow and used for irrigation rather than power. Moving enough earth and concrete to make a usable gradient is not possible without heavy machinery.
Can we apply the same reasoning and conclude that because existing nuclear reactors are inadequate, no possible future nuclear reactors can be adequate?
Why does pumped hydro have to be close to transportation infrastructure, btw? Can one not build roads or rail lines?
> Why does pumped hydro have to be close to transportation infrastructure, btw? Can one not build roads or rail lines?
You can, but the more remote the build site the more expensive it becomes.
Nuclear seawater extraction is already conducted, at a price of about $200 per pound [1]. Raw fuel extraction is a small portion of nuclear's cost (enrichment is a much bigger portion) so this is not a significant cost increase.
1. https://www.forbes.com/sites/jamesconca/2016/07/01/uranium-s...
To power the world with nuclear would require many more reactors. Current world average primary energy consumption is 18 TW, which is 6000 3 GWth reactors. That's an order of magnitude more than currently are in operation. Add in demand growth from industrializing countries and the uranium would last maybe a decade.
Uranium availability is not an immediate problem if you assume nuclear remains a sideshow on the global energy stage. That's to assume nuclear is neither needed nor particularly useful for addressing global warming. Is that what you're assuming?
> However, seawater concentrations of uranium are controlled by steady-state, or pseudo-equilibrium, chemical reactions between waters and rocks on the Earth, both in the ocean and on land. And those rocks contain 100 trillion tons of uranium. So whenever uranium is extracted from seawater, more is leached from rocks to replace it, to the same concentration. It is impossible for humans to extract enough uranium over the next billion years to lower the overall seawater concentrations of uranium, even if nuclear provided 100% of our energy and our species lasted a billion years
"Current nuclear technology isn't sufficient either. A world powered by nuclear burner reactors runs out of uranium very quickly. Breeder reactors or seawater uranium extraction would be needed, and neither of these are "existing" in the sense you're using for storage" (emphasis added)
So, your comment about seawater there doesn't contradict what I wrote at all.
> And these advances by PNNL and ORNL have reduced the cost by a factor of four in just five years. But it’s still over $200/lb of U3O8, twice as much as it needs to be to replace mining uranium ore.
> Fortunately, the cost of uranium is a small percentage of the cost of nuclear fuel, which is itself a small percentage of the cost of nuclear power. Over the last twenty years, uranium spot prices have varied between $10 and $120/lb of U3O8, mainly from changes in the availability of weapons-grade uranium to blend down to make reactor fuel.
> So as the cost of extracting U from seawater falls to below $100/lb, it will become a commercially viable alternative to mining new uranium ore. But even at $200/lb of U3O8, it doesn’t add more than a small fraction of a cent per kWh to the cost of nuclear power.
This is technology that actually has a demonstrated cost. Moreover it doesn't need to get cheaper at scale since raw extraction is such a small portion of nuclear power's cost. It's not like synthetic methane or hydrogen storage where it's all white papers promising cheap cost, but not actually delivering any storage systems at that cost.
Extracting uranium from seawater on the scale needed to fuel burner reactors requires massive engineering. The estimate I've seen is that fueling one 1 GWe burner reactor takes a seafloor uranium absorption field (suspended in a strong ocean current; if you have to pump the seawater yourself it's already too expensive) of 170 square kilometers. The power/area is already much lower than the time-averaged output from PV.
Extrapolating from the lab bench to 170 sq. kilometers (x 6000 for the number of reactors needed to power a nuclear world) is a far larger stretch than extrapolating renewables and storage to what they would need. Your selective doubt is not being driven by any honest impulse.
All I demand is that people deliver at the specified cost. Not, for example, a prototype with unspecified cost or a pilot program with much higher cost to and promises that it'll get cheaper at scale.
> Extrapolating from the lab bench to 170 sq. kilometers (x 6000 for the number of reactors needed to power a nuclear world) is a far larger stretch than extrapolating renewables and storage to what they would need. Your selective doubt is not being driven by any honest impulse.
I could say the same about you. Nobody is seriously considering pumping seawater to filter uranium. This is a totally bad faith argument.
And you give this estimate of 170 without actually giving a source for it nor specifying details like how far apart the buoys are spaced, or if reprocessing is used (which cuts down fuel use by more than an order of magnitude).
Similar bottlenecks occur with pumped hydroelectricity. To build it economically you not only need an alpine lake handy, it also needs to be close to transportation infrastructure. As those sites are developed, we'd turn to more and more remote sites.