MIT OpenCourseWare

Browse materialsMIT 22.615 · Spring 2007

MHD Theory of Fusion Systems

Subjects: Chemistry · Physics

Art: Not determined, Figure 6 of Radio-active substances, 1904 · Public domain

Instructor: Prof. Jeffrey Freidberg
Term: Spring 2007
Level: Graduate
What's inside: 1 lecture note · 37 other files · 3 web pages
Materials open: MIT OCW

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Source: MIT OpenCourseWare 22.615 MHD Theory of Fusion Systems, Spring 2007, Prof. Jeffrey Freidberg — original course page on ocw.mit.edu ↗. License: CC BY-NC-SA 4.0. Study order: MIT's own listing order, section by section. Taken from MIT's published course files, downloaded from ocw.mit.edu on September 23, 2026. How RedLectern is built.

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Lecture Notes

26 files

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Exams

MIT OpenCourseWare, Prof. Jeffrey Freidberg, 22.615 MHD Theory of Fusion Systems, Spring 2007.

License: CC BY-NC-SA 4.0 · Edition: Spring 2007 · Open the original course on OCW ↗

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MHD Theory of Fusion Systems

Before you start

What's here, and what isn't

Not included here

Materials by section

Lecture Notes

Assignments

Exams

Lecture 1: Derivation of the Boltzmann equation ( PDF )

Lecture 2: The moment equations ( PDF ) Derivation of ideal MHD equation ( PDF )

Lecture 3: MHD equilibrium ( PDF ) Validity of MHD ( PDF )

Lecture 4: Toroidal equilibrium and radial pressure balance ( PDF )

Lecture 5: The screw pinch and the Grad-Shafranov equation ( PDF )

Lecture 6: The safety factor and the ohmic tokamak ( PDF )

Lecture 7: The first order Grad-Shafranov equation ( PDF )

Lecture 8: Effect of a vertical field on tokamak equilibrium ( PDF )

Lecture 9: The high beta tokamak ( PDF )

Lecture 10: The high beta tokamak (cont.) and the high flux conserving tokamak ( PDF )

Lecture 11: Flux conserving tokamak (cont.) ( PDF )

Lecture 12: PF design I - the plasma ( PDF )

Lecture 13: PF design II - the coil solver ( PDF )

Lecture 14: Formulation of the stability problem ( PDF ) Real tokamaks (with Bob Granetz) ( PDF )

Lecture 15: Variational techniques ( PDF ) Alternate concepts (with Darren Sarmer) ( PDF )

Lecture 16: Variational principle ( PDF )

Lecture 17: Stability of simple function ( PDF )

Lecture 18: Lecture 18 ( PDF )

Lecture 19: Lecture 19 ( PDF )

Lecture 20: Lecture 20 ( PDF )

Lecture 21: Lecture 21 ( PDF )

Lecture 22: Lecture 22 ( PDF )