The integral energy balance is analysed for the fast-heated plasmas in tokamaks and stellarators. This is an approach to resolving the so-called 'missing power' problem (Andreev et al2004 Plasma Phys. Control. Fusion46 319). The analysis is based on ideal MHD and includes plasma interaction with the magnetic field, which is traditionally disregarded in similar transport studies. It is shown that this interaction provides such constraints on the energy fluxes that the main part of the injected power must be absorbed by the bulk plasma. The plasma heating is modelled as flux-conserving evolution of isotropic plasma.
Self-consistent analysis of alpha-particle heating of a fast-solenoid plasma