In fusion power research, the Z-pinch, also known as zeta pinch, is a type of plasma confinement system that uses an electrical current in the plasma to generate a magnetic field that compresses it (see pinch). These systems were originally referred to simply as pinch or Bennett pinch (after Willard Harrison Bennett), but the introduction of the theta-pinch concept led to the need for increased clarity.
The name refers to the direction of the current in the devices, the Z-axis on a normal mathematical diagram. Any machine that causes a pinch effect due to current running in that direction is correctly referred to as a Z-pinch system, and this encompasses a wide variety of devices used for an equally wide variety of purposes. Early uses focused on fusion research in donut-shaped tubes with the Z-axis running down the inside the tube, modern devices are generally cylindrical and used to generate high-intensity x-ray sources for the study of nuclear weapons and other roles.
The Z-pinch is an application of the Lorentz force, in which a current-carrying conductor in a magnetic field experiences a force. One example of the Lorentz force is that, if two parallel wires are carrying current in the same direction, the wires will be pulled toward each other. In a Z-pinch machine the wires are replaced by a plasma, which can be thought of as many current-carrying wires. When a current is run through the plasma, the particles in plasma are pulled toward each other by the Lorentz force, thus the plasma contracts. The contraction is counteracted by the increasing gas pressure of the plasma.
As the plasma is electrically conductive, a magnetic field nearby will induce a current in it. This provides a way to run a current into the plasma without physical contact, which is important as a plasma can rapidly erode mechanical electrode. In practical devices this was normally arranged by placing the plasma vessel inside the core of a transformer, arranged so the plasma itself would be the secondary. When current was sent into the primary side of the transformer, the magnetic field induced a current into the plasma. As induction requires a changing magnetic field, and the induced current is supposed to run in a single direction in most reactor designs, the current in the transformer has to be increased over time to produce the varying magnetic field. This places a limit on the product of confinement time and magnetic field, for any given source of power.
In Z-pinch machines the current is generally provided from a large bank of capacitors and triggered by a spark gap, known as a Marx Bank or Marx generator. As the conductivity of plasma is fairly good, about that of copper, the energy stored in the power source is quickly depleted by running through the plasma. Z-pinch devices are inherently pulsed in nature.
Pinch devices were among the earliest efforts in fusion power. The concept traces itself to work in the UK in the immediate post-war era, but a lack of interest led to little development until early 1950. Then, the announcement of the Huemul Project in early 1951 led to fusion efforts around the world, notably pinch devices in the UK and pinch and stellarators in the US. A number of small experiments were built at labs as various practical issues were addressed, but all of these machines demonstrated unexpected instabilities of the plasma that would cause it to hit the walls of the container vessel. The problem became known as the "kink instability".
Stabilized pinch, the race to fusion
A number of solutions were proposed, and by 1953 the "stabilized pinch" seemed to solve the problems encountered on earlier devices. Stabilized pinch machines added a set of external magnets that created a toroidal magnetic field inside the chamber. When the device was fired, this field added to the one created by the current in the plasma. The result was that the formerly straight magnetic field was twisted into a helix, which the particles followed as they travelled around the tube under the influence of the current. A particle near the outside of the tube that would want to kink outward would travel along these lines until it found itself on the inside of the tube, where its outward-directed motion would bring it back into the centre of the plasma.
Researchers in the UK planned a major assault on the stabilized pinch field, and started construction of ZETA in 1954. ZETA was by far the largest fusion device of its era, and equipped with all of the latest equipment. At the time, almost all fusion research was classified, so progress on ZETA was generally unknown outside the labs working on it. However, in 1956 the walls started to come down, and when they visited ZETA at Harwell, US researchers became aware that they were about to be trumped. A race broke out as teams on both sides of the Atlantic rushed to be the first to complete their stabilized pinch machines.
ZETA won the race, and by the summer of 1957 it was producing bursts of neutrons on every run. Although the scientists working on the device, and similar ones in the US and UK, were careful to point out that it was not proven, the results were nevertheless released with great fanfare as the first successful step on the path to commercial fusion energy. However, further study soon demonstrated that the measurements were misleading, and none of the machines were near fusion levels. Interest in pinch devices faded, although ZETA and its cousin Sceptre would serve for many years as experimental devices.
A concept of Z-pinch fusion propulsion system has been developed by collaboration of NASA and several private companies. Magnetic field, generated by pulse discharge, compresses plasma to the fusion temeratures using Z-pinch effect. Released energy accelerates lithium propellant to high speed, resulting in the specific impulse value of 19400 s and thrust 38 kN. A magnetic nozzle is required to convert the released energy into a useful impulse. This propulsion method can significantly reduce times of interplanetary travel. For example, a mission to Mars would take about 35 days one-way with the total burn time 20 days and burned propellant mass 350 kg.
Although it remained relatively unknown for years, the Soviets used the pinch concept to develop the tokamak device. Unlike the stabilized pinch devices in the US and UK, the tokamak used considerably more energy in the stabilizing magnets, and much less in the plasma current. This reduced the instabilities due to the large currents in the plasma, and led to great improvements in stability. The results of their experiments were so good that other researchers were skeptical of them when they were first announced in full force in 1968. Members of the still-operational ZETA team were called in to verify the results. The tokamak has since gone on to become the most studied approach to controlled fusion.
Various Z-pinch machines
They can be found in various institutions such as University of Nevada, Reno (USA), Cornell University (USA), University of Michigan (USA), Sandia National Laboratories (USA), University of California, San Diego (USA), University of Washington (USA), Ruhr University (Germany), Imperial College (United Kingdom), École Polytechnique (France), and the Weizmann Institute of Science (Israel).
- Miernik, J.; Statham, G.; Fabisinski, L.; Maples, C. D.; Adams, R.; Polsgrove, T.; Fincher, S.; Cassibry, J.; Cortez, R.; Turner, M.; Percy, T. (2013). "Z-Pinch fusion-based nuclear propulsion". Acta Astronautica 82 (2): 173–82. Bibcode:2013AcAau..82..173M. doi:10.1016/j.actaastro.2012.02.012.
- Z Machine (Sandia Labs)
- An Inertial-Fusion Z-Pinch Power Plant Concept (Sandia Labs)
- Development path for Z-pinch IFE
- "Physics of 'Ocean's Eleven'"
- The MAGPIE project at Imperial College London is used to study wire array Z-pinch implosions.