Magnetohydrodynamics in magnetic confinement fusion research

Magneto-hydrodynamics (MHD) equation is introduced by Vlasov equation in this paper. On MHD theoretical researches of fusion, outline of magnetic confinement, the ideal MHD equilibrium and MHD instability are stated. Some examples of MHD instability of high temperature plasma experiments are reported. Non-linear MHD simulation is calculated for understanding the above experiment results. Nonlinear evolution of MHD instability in LHD is described. The basic structure of toroidal magnetic confinement device, large helical device LHD, some examples of equilibrium simulation of LHD, observations of discharge of strong MHD instability, concept of helical calculation lattice, and nonlinear simulation of resistive ballooning modes in the large helical device are illustrated. (S.Y.)