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This course discusses MHD equilibria in cylindrical, toroidal, and noncircular tokamaks
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English
English [CC]
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Description
It covers derivation of the basic MHD model from the Boltzmann equation, use of MHD equilibrium theory in poloidal field design, MHD stability theory including the Energy Principle, interchange instability, ballooning modes, second region of stability, and external kink modes. Emphasis is on discovering configurations capable of achieving good confinement at high beta.
Course content
- Derivation of the Boltzmann equation Unlimited
- The moment equations Unlimited
- Derivation of ideal MHD equation Unlimited
- MHD equilibrium Unlimited
- Validity of MHD Unlimited
- Toroidal equilibrium and radial pressure balance Unlimited
- The screw pinch and the Grad-Shafranov equation Unlimited
- The safety factor and the ohmic tokamak Unlimited
- The first order Grad-Shafranov equation Unlimited
- Effect of a vertical field on tokamak equilibrium Unlimited
- The high beta tokamak Unlimited
- The high beta tokamak (cont.) and the high flux conserving tokamak Unlimited
- Flux conserving tokamak (cont.) Unlimited
- PF design I – the plasma Unlimited
- PF design II – the coil solver Unlimited
- Formulation of the stability problem Unlimited
- Real tokamaks (with Bob Granetz) Unlimited
- Variational techniques Unlimited
- Alternate concepts (with Darren Sarmer) Unlimited
- Variational principle Unlimited
- Stability of simple function Unlimited
- Lecture 18 Unlimited
- Lecture 19 Unlimited
- Lecture 20 Unlimited
- Lecture 21 Unlimited
- Lecture 22 Unlimited
Instructor
Massachusetts Institute of Technology
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