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22.615

MHD Theory of Fusion Systems

3-0-9 units · Graduate

Discussion of MHD equilibria in cylindrical, toroidal, and noncircular configurations. MHD stability theory including the Energy Principle, interchange instability, ballooning modes, second region of stability, and external kink modes. Description of current configurations of fusion interest.

Spring 2007

This course discusses MHD equilibria in cylindrical, toroidal, and noncircular tokamaks. 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.

Readings

  • Freidberg, J. P. Ideal Magnetohydrodynamics . This is out of print but Xerox copies will be available to registered students shortly after the start of classes.
    Listed reading
  • Goedbloed, Hans, and Stefaan Poedts. Principles of Magnetohydrodynamics . Cambridge, UK: Cambridge University Press, 2004. ISBN: 9780521626071.
    Listed reading
  • Wesson, John. Tokamaks . 3rd ed. Oxford, UK: Oxford University Press, 1987. ISBN: 9780198563280.
    Listed reading

Prerequisites & course information

Prereq: 22.611[J] G (Spring) 3-0-9 units

Sources