Introduction to MHD Theory in Fusion Systems

How do we bottle up a star? Magnetohydrodynamics (MHD) provides the core physical framework to model, confine, and control superheated fusion plasma. This text-based course guides you from the absolute basics of plasma physics to the advanced equilibrium and stability concepts used in modern fusion reactors. You will develop a solid theoretical foundation to analyze magnetic confinement configurations, including tokamaks and modern stellarators. What you'll learn: - Understand key plasma physics terminology, foundational definitions, and the derivation of the MHD model. - Analyze MHD equilibrium in cylindrical, toroidal, and noncircular tokamak geometries. - Apply poloidal and toroidal field design principles to achieve stable plasma configurations. - Evaluate plasma stability using the Energy Principle, interchange modes, and ballooning instabilities. - Explore modern magnetic confinement designs and computational MHD modeling concepts. The course begins with core terminology and the kinetic origins of the MHD equations. You will then progress through equilibrium configurations, stability criteria, and the physics of high-performance fusion systems. This course is designed for beginners in nuclear engineering, physics students, and energy technology enthusiasts. No prior background in advanced plasma physics is required, though a basic understanding of electromagnetism and calculus is recommended. Start reading today to master the core physics driving the future of clean energy.