Heating

R.A.

One day in the distant future, fusion plants might be fuelled by helium 3—an isotope that is extremely scarce on Earth but reputed to be abundant on the Moon. But long before the advent of helium 3 fusion¹ (if ever it is achievable) this rare element will play a role in heating the ITER plasma. In the initial stage of ion cyclotron resonance heating, a pinch of helium 3 will be puffed into the vacuum vessel to boost the efficiency of the system.

Three different external heating systems will contribute to bringing the ITER plasmas to fusion temperature. In the initial stage of ion cyclotron resonance heating (ICRH) a small quantity of helium 3 will act as a ''starter'' to boost the efficiency of the system. Ion cyclotron resonance heating (ICRH) is one of the three external heating systems —along with electron-cyclotron resonance heating and neutral beam injection—that will be implemented on ITER. In ICRH heating, radiofrequency waves are injected into the plasma to transfer energy to the charged particles, or ions, that make up the fusion fuel.

By generating waves at a frequency that matches the oscillation of the ions perpendicular to the magnetic lines (the "cyclotron" frequency) ICRH waves resonate with plasma ions, which leads to energy transfer from the radio waves to the plasma. And of course "transfer of energy" is a scientist's way of saying " heating " ...

Within certain limits and for a given magnetic field, ICRH waves can be "tuned" to match the cyclotron frequency of specific ion species. An exact match between wave and ion cyclotron frequency allows for what plasma physicists call "fundamental heating"; a wave frequency twice as high as the ion cyclotron frequency is called "second harmonic heating."

"Generally speaking, fundamental heating has a better absorption efficiency than second harmonic heating at low plasma temperatures, i.e., for conditions characteristic of the start-up phase in an ITER plasma," explains Mireille Schneider, a physicist in the ITER Confinement & Modelling Section. "But due to the properties of ion cyclotron waves, fundamental heating works on a minority ion population and not on the majority bulk ion population of the plasma."

The "charge-to-mass ratio" ratio



The cyclotron frequency of an ion is determined by the ratio between its electric charge and atomic mass (the so-called "charge-to-mass ratio") and by the magnetic field it is exposed to. Helium 3, whose nucleus comprises two electrically charged protons and one neutron, has a charge-to-mass ratio of 2/3. Tritium, with one proton and two neutrons, has a ratio of 1/3. The charge-to-mass ratio of helium 3 is therefore double that of tritium, and so is its cyclotron frequency. A plasma containing a minority ion whose cyclotron frequency is double that of the majority can be heated in a two-step sequence: fundamental heating on the minority (helium 3 in our case) and second harmonic on the majority (tritium).



When the cyclotron frequency of the majority ions is half that of the minority, the same ICRH wave frequency resonates with both species and operators can briefly use fundamental minority heating as a "starter" to bring the majority to a temperature level that allows second harmonic heating to take over. When the cyclotron frequency of the majority ions is half that of the minority, the same ICRH wave frequency resonates with both species and operators can briefly use fundamental minority heating as a "starter" to bring the majority to a temperature level that allows second harmonic heating to take over.

This is where helium 3 enters stage—its cyclotron frequency happens to be exactly twice that of tritium, making it the perfect starter ion for ICRH heating in a deuterium-tritium plasma. (See box.)

"The ITER ion cyclotron antennas have a frequency range of 40 to 55 MHz," explains Mireille. "When we tune them to about 53 MHz, the frequency corresponds to the fundamental resonance of helium 3 and also to the second harmonic resonance of tritium."

In the initial stage of ICRH heating, the radiofrequency waves can efficiently heat the minority helium 3 ions through fundamental heating, which in turn start to heat the majority tritium ions through collisions. Although not a direct "target" of ICRH heating, deuterium ions are caught in the high-speed billiard game that ensues and their energy level (their temperature) rises parallel to that of the tritium ions.

As the tritium ions become hotter, second harmonic ion cyclotron heating becomes more efficient. After a few seconds, the energy can directly be transferred from the ICRH radio waves to the tritium ions (and hence to their deuterium counterparts) through collisions, and the puffing of helium 3 into the plasma can be stopped.

ICRH antennas are massive components designed to deliver radiofrequency waves to the plasma. Which is fortunate for the economics of fusion. Helium 3—used in minute quantities for cryogenic applications, neutron radiation detection and medical resonance imaging—is as rare as it is expensive ...

What percentage of helium 3 will be needed to optimize ICRH heating and how long it will need to be puffed into the plasma are still open questions. "The ITER Science Division is working on different models and scenarios and so is the fusion community as a whole, particularly through the International Tokamak Physics Activity (ITPA)," explains Mireille. "As of today, we don't have all the answers but we can reasonably estimate that we'll need to puff a few percent of helium 3 for ten seconds or less ..."

In many ways, fusion is still a science in the making. And it is only through ITER operation that long-sought answers will eventually be provided.