22.615 | Spring 2007 | Graduate

MHD Theory of Fusion Systems

Lecture Notes

1 Derivation of the Boltzmann equation (PDF)

The moment equations (PDF)

Derivation of ideal MHD equation (PDF)


MHD equilibrium (PDF)

Validity of MHD (PDF)

4 Toroidal equilibrium and radial pressure balance (PDF)
5 The screw pinch and the Grad-Shafranov equation (PDF)
6 The safety factor and the ohmic tokamak (PDF)
7 The first order Grad-Shafranov equation (PDF)
8 Effect of a vertical field on tokamak equilibrium (PDF)
9 The high beta tokamak (PDF)
10 The high beta tokamak (cont.) and the high flux conserving tokamak (PDF)
11 Flux conserving tokamak (cont.) (PDF)
12 PF design I - the plasma (PDF)
13 PF design II - the coil solver (PDF)

Formulation of the stability problem (PDF)

Real tokamaks (with Bob Granetz) (PDF)


Variational techniques (PDF)

Alternate concepts (with Darren Sarmer) (PDF)

16 Variational principle (PDF)
17 Stability of simple function (PDF)
18 Lecture 18 (PDF)
19 Lecture 19 (PDF)
20 Lecture 20 (PDF)
21 Lecture 21 (PDF)
22 Lecture 22 (PDF)

Course Info

As Taught In
Spring 2007
Learning Resource Types
Lecture Notes
Problem Sets