MHD Equilibrium Configurations

This lecture covers Magnetohydrodynamic (MHD) equilibrium configurations in 2D, focusing on the tokamak and stellarator concepts for magnetic confinement. It explains the static MHD equilibrium equations, multi-dimensional equilibria, toroidal geometry, axisymmetric equilibrium, and the Grad-Shafranov equation. The presentation delves into the force balance, flux function, and solutions of the Grad-Shafranov equation. It also discusses how to obtain solutions, equilibrium reconstruction, and the importance of safety factors. The comparison between stellarators and tokamaks is explored, highlighting their differences in plasma confinement. The lecture concludes by emphasizing the superior confinement properties of toroidal configurations over linear ones.