Discovered: Optimal magnetic fields for suppressing instabilities in tokamaks

Authored by pppl.gov and submitted by mvea

Fusion, the power that drives the sun and stars, produces massive amounts of energy. Scientists here on Earth seek to replicate this process, which merges light elements in the form of hot, charged plasma composed of free electrons and atomic nuclei, to create a virtually inexhaustible supply of power to generate electricity in what may be called a “star in a jar.”

A long-time puzzle in the effort to capture the power of fusion on Earth is how to lessen or eliminate a common instability that occurs in the plasma called edge localized modes (ELMs). Just as the sun releases enormous bursts of energy in the form of solar flares, so flare-like bursts of ELMs can slam into the walls of doughnut-shaped tokamaks that house fusion reactions, potentially damaging the walls of the reactor.

To control these bursts, scientists disturb the plasma with small magnetic ripples called resonant magnetic perturbations (RMPs) that distort the smooth, doughnut shape of the plasma — releasing excess pressure that lessens or prevents ELMs from occurring. The hard part is producing just the right amount of this 3D distortion to eliminate the ELMs without triggering other instabilities and releasing too much energy that, in the worst case, can lead to a major disruption that terminates the plasma.

Making the task exceptionally difficult is the fact that a virtually limitless number of magnetic distortions can be applied to the plasma, causing finding precisely the right kind of distortion to be an extraordinary challenge. But no longer.

Physicist Jong-Kyu Park of the U.S. Department of Energy’s (DOE) Princeton Plasma Physics Laboratory (PPPL), working with a team of collaborators from the United States and the National Fusion Research Institute (NFRI) in Korea, have successfully predicted the entire set of beneficial 3D distortions for controlling ELMs without creating more problems. Researchers validated these predictions on the Korean Superconducting Tokamak Advanced Research (KSTAR) facility, one of the world's most advanced superconducting tokamaks, located in Daejeon, South Korea.

KSTAR was ideal for testing the predictions because of its advanced magnet controls for generating precise distortions in the near-perfect, doughnut-shaped symmetry of the plasma. Identifying the most beneficial distortions, which amount to less than one percent of all the possible distortions that could be produced inside KSTAR, would have been virtually impossible without the predictive model developed by the research team.

The result was a precedent-setting achievement. “We show for the first time the full 3D field operating window in a tokamak to suppress ELMs without stirring up core instabilities or excessively degrading confinement,” said Park, whose paper — written with 14 coauthors from the United States and South Korea — is published in Nature Physics. “For a long time we thought it would be too computationally difficult to identify all beneficial symmetry-breaking fields, but our work now demonstrates a simple procedure to identify the set of all such configurations."

Researchers reduced the complexity of the calculations when they realized that the number of ways the plasma can distort is actually far fewer than the range of possible 3D fields that can be applied to the plasma. By working backwards, from distortions to 3D fields, the authors calculated the most effective fields for eliminating ELMs. The KSTAR experiments confirmed the predictions with remarkable accuracy.

The findings on KSTAR provide new confidence in the ability to predict optimal 3D fields for ITER, the international tokamak under construction in France, which plans to employ special magnets to produce 3D distortions to control ELMs. Such control will be vital for ITER, whose goal is to produce 10 times more energy than it will take to heat the plasma. Said authors of the paper, “the method and principle adopted in this study can substantially improve the efficiency and fidelity of the complicated 3D optimizing process in tokamaks.”

Korean work on this project was sponsored by NFRI in Daejeon, South Korea. NFRI is the leading institute for fusion energy research in Korea, and is devoted to developing the scientific and engineering basis for the realization of fusion energy. NFRI operates KSTAR under the Korean Ministry of Science and the information and communications technology (ICT) industry. KSTAR, one of the world's leading superconducting tokamaks, aims to achieve high-performance steady-state operation employing high precision magnetic systems together with production of 3D fields, advanced imaging and other capabilities critical for the success of this work. For more information on KSTAR, please visit http://kstar.nfri.re.kr.

This research is supported by the DOE Office of Science and by support from the Korean Ministry of Science and ICT for the KSTAR project.

PPPL, on Princeton University's Forrestal Campus in Plainsboro, N.J., is devoted to creating new knowledge about the physics of plasmas — ultra-hot, charged gases — and to developing practical solutions for the creation of fusion energy. The Laboratory is managed by the University for the U.S. Department of Energy’s Office of Science, which is the largest single supporter of basic research in the physical sciences in the United States, and is working to address some of the most pressing challenges of our time. For more information, please visit science.energy.gov.

mangoman51 on September 12nd, 2018 at 23:22 UTC »

I saw this work presented at a conference at KSTAR earlier this year. I work in computational modelling of tokamak edge plasmas, but not specifically on RMP ELM suppression. However, as no-one else has then I'll try and provide a top-level ELI-not-a-physicist as to what this is about and why it's interesting.

Magnetically-confined plasmas

The idea of fusion research is to confine a super-hot (~100 million degrees C) gas of hydrogen so that the collisions of the hydrogen particles with each other produce lots of fusion reactions. If you confine enough hydrogen for long enough at high enough temperature then you should get more energy out of the fusion reactions than you put in to heat the gas up, and potentially be able to use this as a nigh-inexhaustible cleaner energy source.

When you heat any gas above around 3000 degrees C then the collisions between atoms are strong enough to knock off electrons, leaving free electrons and positively-charged nuclei. This resulting charged soup is called a plasma, and is fundamentally different from a gas in that it both reacts to and generates electromagnetic fields.

To confine this hot plasma, you can't just put it in a metal box because the particles will very quickly (they are moving on average about 10% the speed of light) touch the walls, lose their energy to the cold metal walls and the plasma will cool down. They will also damage the box, but not as much as would think, because you only put in a very small amount of hydrogen. Imagine a cigarette lighter flame touching an iceberg - you would melt a little bit of the iceberg because the flame is so much hotter, but the iceberg has the staying power to win this fight.

So instead we exploit how plasmas are affected by magnetic fields, and use very strong magnets to create a "magnetic bottle" which holds the plasma. The way this actually works is that charged particles spiral tightly around magnetic field lines, so if you arrange magnets in such a way that these field lines loop round and join back onto themselves, then particles will travels along them round and round without actually leaving.

Tokamaks

Tokamaks are confinement devices which use a particular set of magnets to produce magnetic field of a particular shape, which looks a bit like a doughnut. They are by far the most successful, most-researched and best-understood form of plasma confinement, and are the closest to ever being used for a full power-supplying reactor.

Magnetohydrodynamic

Plasmas are very complicated things, with lots of effects to consider if you want to try and model their behaviour with computers. In some ways they behave like fluids like air or water, but in a lot of other ways they don't. Plasma physicists use models with all sort of levels of complexity to try and understand different aspects of plasma behaviour.

One of the simpler ways to model a plasma is to think of it like a conducting fluid. This is still very complicated, as you have to track the plasma's density, pressure, velocity, magnetic field and current everywhere at all times. This is called "magneto­hydro­dynamics" or MHD, from magneto- meaning magnetic field, hydro- meaning water, and dynamics meaning movement.

Although MHD leaves a lot of stuff out, it gets a lot of things right too. Importantly, MHD mostly ignores things which happen relatively slowly (still on the scale of milliseconds though). That means if MHD says that your plasma will burst out of the confining magnetic field and touch the wall, then it probably will, because that will happen faster than any other processes which you didn't bother to model could kick in to stop it. Therefore so-called "MHD stability" is a necessary, but not sufficient, criteria for a magnetic confinement scheme to actually confine your plasma.

Instabilities

There are lots of ways in which the plasma can interact with itself in such a way to suddenly burst out into a new shape and potentially touch the wall of the machine. These are known as instabilities, and the plasma is said to have undergone a "disruption".

A lot of the history of tokamak research has been pushing to higher densities and temperature than ever before, finding out about a new kind of instability that can happen, then devising a way to predict or avoid it, before moving on to yet higher densities and temperatures.

Edge-localised modes

At the moment one of the main limiting factors are a type of instability called a "peeling-ballooning mode", which is an MHD instability which happens at the edge of the plasma. When it happens it's called an "edge-localised mode" or ELM, and we really want to be able to completely avoid these because they dump lots of heat onto the metal walls and melt them more than is sustainable for long-term operation.

In our tokamak we want to get the pressure (density times temperature) in the core of the plasma as high as possible, but it has to go down to zero at the edge of the plasma where there is nothing but a vacuum. This means there is a large pressure gradient from the edge to the centre of the plasma. What happens before an ELM is that the pressure gradient rises as we heat the plasma, but once it gets beyond a certain threshold (the peeling-ballooning boundary) the energy held back by the magnetic field leaks out in one violent event.

To steal my friend's analogy, it's similar to a pot bubbling on a stove. The temperature keeps increasing until the pressure is high enough to push the lid open, at which point the boiling water bubbles out suddenly. Once it's bubbled over, the pressure has decreased and the pot goes back to slowly bubbling up again.

Resonant Magnetic Perturbations

It turns out that ELMs are mainly a problem because they happen over such a short span of time. If you had the same energy release over a longer time then our metal surfaces could handle it, but because an ELM delivers so much energy in a short time then it melts them before any cooling systems get a chance to do anything.

To go back to the pot analogy, wouldn't it be nice if we could leave the metaphorical lid ajar? That would allow us to keep heating the fluid, while the pressure gets released at a nice manageable pace through the opening. Of course we wouldn't want to remove the lid completely, because then we wouldn't be keeping the heat in at all and our water won't get to as high a temperature.

This is basically the idea behind RMPs, or "Resonant Magnetic Perturbations". What an RMP actually is is a small extra magnetic field applied to the outside edge of the doughnut, which gently ripples the outer magnetic field into a "non-axisymmetric" shape. The picture in the article shows the field applied by the RMP coils, where the blue is slightly increased magnetic field strength and red is slightly decreased.

Normally keeping your field perfectly symmetric around the doughnut is best for confinement, but here we actually want to make the confinement worse, albeit in a very controlled way. Introducing these 3D perturbations has that effect, and is a large area of research.

This paper

So what is this paper about specifically?

Firstly, the space of possible 3D perturbations to the plasma is huge, and most of these would be unhelpful. The team here worked backwards to find the general type of perturbations which would both disturb the outside edge a lot, but barely touch the core.

Once they had used their model to narrow it down, they used the large number of RMP coils on the KSTAR tokamak in Korea to test their idea, and it worked pretty well!

They also came up with a new way to visualise the space of possible perturbations, and the limits which apply to make these perturbations beneficial or deleterious.

The next step is to try this out on other tokamaks, to see if the findings can be replicated. If they can, then they might be useful for future machines like ITER.

Other questions:

If the magnetic field does the confining, why do you need the metal chamber?

The hydrogen has to be incredibly pure. Any other heavier atoms which sneak in will sap energy from the hydrogen and radiate it away uselessly as X-rays. The point of the metal vacuum vessel isn't so much to keep the plasma in, it's to keep the air out.

Does this have anything to do with the stellarator W7-X?

Not really. Both RMPs and stellarators involve non-axisymmetric fields, but the purposes are completely different. When designing a magnetic field shape that will confine particles it turns out to be necessary that the field lines (and therefore particles) follow twisting paths that take them up and down as they go around the device.

In tokamaks (like KSTAR or ITER) this twisted field is achieved by driving a huge current through the plasma itself, which generates another magnetic field on top of what the external coils provide, which gives the necessary twist. However the presence of this huge current causes a whole class of "current-driven" instabilities to become possible, which then need to be avoided.

In stellarators (like W7-X) no current is driven through the plasma, instead the external coils are distorted into wacky shapes to provide the necessary twist. This is good for plasma stability, but makes life harder for the engineers who have to design these coils, and reduces the flexibility in how you run the device, because they can't really be altered once built.

thissexypoptart on September 12nd, 2018 at 15:38 UTC »

Could someone familiar with the field explain the implications of this? Is this as groundbreaking as it sounds? I'm sure there are hurdles I can't even imagine.

mvea on September 12nd, 2018 at 14:34 UTC »

The title of the post is a copy and paste from the title and first paragraph of the linked academic press release here :

Discovered: Optimal magnetic fields for suppressing instabilities in tokamaks

Fusion, the power that drives the sun and stars, produces massive amounts of energy. Scientists here on Earth seek to replicate this process, which merges light elements in the form of hot, charged plasma composed of free electrons and atomic nuclei, to create a virtually inexhaustible supply of power to generate electricity in what may be called a “star in a jar.”

Journal Reference:

Jong-Kyu Park, YoungMu Jeon, Yongkyoon In, Joon-Wook Ahn, Raffi Nazikian, Gunyoung Park, Jaehyun Kim, HyungHo Lee, WonHa Ko, Hyun-Seok Kim, Nikolas C. Logan, Zhirui Wang, Eliot A. Feibush, Jonathan E. Menard, Michael C. Zarnstroff.

3D field phase-space control in tokamak plasmas.

Nature Physics, 2018;

DOI: 10.1038/s41567-018-0268-8

Link: https://www.nature.com/articles/s41567-018-0268-8

Abstract

A small relaxation of the axisymmetric magnetic field of a tokamak into a non-axisymmetric three-dimensional (3D) configuration can be effective to control magnetohydrodynamic instabilities, such as edge-localized modes. However, a major challenge to the concept of 3D tokamaks is that there are virtually unlimited possible choices for a 3D magnetic field, and most of them will only destabilize or degrade plasmas by symmetry breaking. Here, we demonstrate the phase-space visualization of the full 3D field-operating windows of a tokamak, which allows us to predict which configurations will maintain high confinement without magnetohydrodynamic instabilities in an entire region of plasmas. We test our approach at the Korean Superconducting Tokamak Advanced Research (KSTAR) facility, whose 3D coils with many degrees of freedom in the coil space make it unique for this purpose. Our experiments show that only a small subset of coil configurations can accomplish edge-localized mode suppression without terminating the discharge with core magnetohydrodynamic instabilities, as predicted by the perturbative 3D expansion of plasma equilibrium and the optimizing principle of local resonance. The prediction provided excellent guidance, implying that our method can substantially improve the efficiency and fidelity of the 3D optimization process in tokamaks.