Lecture

MHD Equilibrium Configurations

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In course

PHYS-424: Plasma II

This course completes the knowledge in plasma physics that students have acquired in the previous two courses, with a discussion of different applications, in the fields of magnetic confinement and controlled fusion, astrophysical and space plasmas, and so ...

Description

This lecture covers Magnetohydrodynamic (MHD) equilibrium configurations in 2D, focusing on the tokamak and stellarator concepts for magnetic confinement. It explains the static MHD equilibrium equations, multi-dimensional equilibria, toroidal geometry, axisymmetric equilibrium, and the Grad-Shafranov equation. The presentation delves into the force balance, flux function, and solutions of the Grad-Shafranov equation. It also discusses how to obtain solutions, equilibrium reconstruction, and the importance of safety factors. The comparison between stellarators and tokamaks is explored, highlighting their differences in plasma confinement. The lecture concludes by emphasizing the superior confinement properties of toroidal configurations over linear ones.

Instructor

Holger Reimerdes

Teaching & PhD PhD Students Martim Zurita, Marta Pedrini, Benjamin Yong Kwak Brown, Pierre Louis Sintre, Massimo Carpita, Richard Alexander David Ducker, Giuseppe Iunior Drago Past EPFL PhD Students Mirko Wensing, Claudia Colandrea, Guang-Yu Sun Past EPFL PhD Students as codirector Gustavo Paganini Canal, Joyeeta Sinha, Roberto Maurizio Courses Control and Operation of Tokamaks PHYS-748 This course treats the main issues in operation and control of a tokamak. Control-oriented models are de

Official source

Ontological neighbourhood

Physics

Plasma physics: Fusion power

Related concepts (32)

Plasma stability

The stability of a plasma is an important consideration in the study of plasma physics. When a system containing a plasma is at equilibrium, it is possible for certain parts of the plasma to be disturbed by small perturbative forces acting on it. The stability of the system determines if the perturbations will grow, oscillate, or be damped out. In many cases, a plasma can be treated as a fluid and its stability analyzed with magnetohydrodynamics (MHD).

Plasma (physics)

Plasma () is one of four fundamental states of matter, characterized by the presence of a significant portion of charged particles in any combination of ions or electrons. It is the most abundant form of ordinary matter in the universe, being mostly associated with stars, including the Sun. Extending to the rarefied intracluster medium and possibly to intergalactic regions, plasma can be artificially generated by heating a neutral gas or subjecting it to a strong electromagnetic field.

Fusion power

Fusion power is a proposed form of power generation that would generate electricity by using heat from nuclear fusion reactions. In a fusion process, two lighter atomic nuclei combine to form a heavier nucleus, while releasing energy. Devices designed to harness this energy are known as fusion reactors. Research into fusion reactors began in the 1940s, but as of 2023, no device has reached net power. Fusion processes require fuel and a confined environment with sufficient temperature, pressure, and confinement time to create a plasma in which fusion can occur.

Pinch (plasma physics)

A pinch (or: Bennett pinch (after Willard Harrison Bennett), electromagnetic pinch, magnetic pinch, pinch effect, or plasma pinch.) is the compression of an electrically conducting filament by magnetic forces, or a device that does such. The conductor is usually a plasma, but could also be a solid or liquid metal. Pinches were the first type of device used for experiments in controlled nuclear fusion power. Pinches occur naturally in electrical discharges such as lightning bolts, planetary auroras, current sheets, and solar flares.

Stellarator

A stellarator is a plasma device that relies primarily on external magnets to confine a plasma. Scientists researching magnetic confinement fusion aim to use stellarator devices as a vessel for nuclear fusion reactions. The name refers to the possibility of harnessing the power source of the stars, such as the Sun. It is one of the earliest fusion power devices, along with the z-pinch and magnetic mirror.

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