Beta limits in EBT and their implications for a reactor

Theoretical models indicate limits on core beta ranging from a few percent to 10-20% depending on the models and/or assumptions. Some of the parameters that enter into these beta limits are: the ratio of the ring radial scale length to the average radius of curvature, epsilon=Δ/Rsub(c); the ratio of the cold to the hot plasma density, fsub(R)=nsub(cold)/nsub(hot); the ratios of the hot electron drift frequency to the ion cyclotron frequency, ωsub(dh)/ωsub(ci), and to the drift Alfven frequency ωsub(dh)/kVsub(A); the ratio of the ring electron temperature to the core ion temperature, Tsub(R)/Tsub(i); the ring beta βsub(R); etc. Because of uncertainties in extrapolating results of simplifield models to a reactor plasma, the above parameters that influence the beta limits cannot be determined accurately at the present time. Also, reasonable changes within the models and/or assumptions are seen to affect the core beta limits by almost an order of magnitude. Hence, at the present, these limits cannot be used as a rigid (and reliable) requirement for ELMO Bumpy Torus (EBT) reactor engineering considerations. However, sensitivity studies can be carried out to determine the boundaries of the operating regime and to demonstrate the effects of various modes, assumptions, and models on reactor performance (Q value). First the modes believed to limit the core β and ring plasma performance are discussed, and the simplifications and/or assumptions involved in deriving these limits are highlighted. Then, the implications of these limits for a reactor are given. (author)