Analytical Formula for Ignition Access Condition in a Magnetic Fusion Reactor

摘要

An analytical formula for the ignition access condition is presented for amagnetic fusion reactor with a given confinement scaling law. Assuming the fusion rate to be equal to the product of a coefficient A and the square of the temperature, the height of the generalized saddle point is calculated analytically. The appropriate coefficient A is determined by comparison with a numerical calculation of the generalized saddle point. Using the analytical ignition access condition, the confinement enhancement factor for a deuterium-tritium reactor can be easily estimated to good accuracy. Examples for the ITER-P tokamak reactor are presented.