Scientists propose a novel method for controlling fusion reactions

Magnetic islands

Researchers at the U.S. Department of Energy's (DOE) Princeton Plasma Physics Laboratory (PPPL) have developed the new model for controlling these magnetic bubbles, or islands. The novel method modifies the standard technique of steadily depositing radio (RF) rays into the plasma to stabilize the islands -- a technique that proves inefficient when the width of an island is small compared with the characteristic size of the region over which the RF ray deposits its power.

This region denotes the "damping length," the area over which the RF power would typically be deposited in the absence of any nonlinear feedback. The effectiveness of the RF power can be greatly reduced when the size of the region is greater than the width of the island -- a condition called "low-damping" -- as much of the power then leaks from the island.

Tokamaks, doughnut-shaped fusion facilities that can experience such problems, are the most widely used devices by scientists around the world who seek to produce and control fusion reactions to provide a virtually inexhaustible supply of safe and clean power to generate electricity. Such reactions combine light elements in the form of plasma -- the state of matter composed of free electrons and atomic nuclei that makes up 99 percent of the visible universe -- to generate the massive amounts of energy that drives the sun and stars.

Overcoming the problem

The new model predicts that depositing the rays in pulses rather than steady state streams can overcome the leakage problem, said Suying Jin, a graduate student in the Princeton Program in Plasma Physics based at PPPL and lead author of a paper that describes the method in Physics of Plasmas. "Pulsing also can achieve increased stabilization in high-damping cases for the same average power," she said.

For this process to work, "the pulsing must be done at a rate that is neither too fast nor too slow," she said. "This sweet spot should be consistent with the rate that heat dissipates from the island through diffusion."

The new model draws upon past work by Jin's co-authors and advisors Allan Reiman, a Distinguished Research Fellow at PPPL, and Professor Nat Fisch, director of the Program in Plasma Physics at Princeton University and associate director for academic affairs at PPPL. Their research provides the nonlinear framework for the study of RF power deposition to stabilize magnetic islands.

"The significance of Suying's work," Reiman said, "is that it expands considerably the tools that can be brought to bear on what is now recognized as perhaps the key problem confronting economical fusion using the tokamak approach. Tokamaks are plagued by these naturally arising and unstable islands, which lead to disastrous and sudden loss of the plasma."

Added Fisch: "Suying's work not only suggests new control methodologies; her identification of these newly predicted effects may force us to re-evaluate past experimental findings in which these effects might have played an unappreciated role. Her work now motivates specific experiments that could clarify the mechanisms at play and point to exactly how best to control these disastrous instabilities."

Original model

The original model of RF deposition showed that it raises the temperature and drives current in the center of an island to keep it from growing. Nonlinear feedback then kicks in between the power deposition and changes in the temperature of the island that allows for greatly improved stabilization. Governing these temperature changes is the diffusion of heat from the plasma at the edge of the island.

However, in high-damping regimes, where the damping length is smaller than the size of the island, this same nonlinear effect can create a problem called "shadowing" during steady state deposition that causes the RF ray to run out of power before it reaches the center of the island.

"We first looked into pulsed RF schemes to solve the shadowing problem," Jin said. "However, it turned out that in high-damping regimes nonlinear feedback actually causes pulsing to exacerbate shadowing, and the ray runs out of power even sooner. So we flipped the problem around and found that the nonlinear effect can then cause pulsing to reduce the power leaking out of the island in low-damping scenarios."

These predicted trends lend themselves naturally to experimental verification, Jin said. "Such experiments," she noted, "would aim to show that pulsing increases the temperature of an island until optimum plasma stabilization is reached."