Abstract
We constructed new scaling formulas for the bootstrap current faction fBS for tokamaks with full non-inductive operation with positive shear safety factor q profiles. A fitting database was built by the ACCOME code, which contains 12,150 cases of self-consistent equilibria with the q profiles satisfying qρ≥1.0 and q95≥3.0 in 0≤ρ<1, where ρ is the normalized minor radius and q95 is q at the 95% poloidal flux surface. From the fitting database, we derived the formulas by the multiple regression analysis. The best formula contained the inverse aspect ratio ε, the poloidal beta, the internal inductance, q95/q0, and the profile shape indices for density and temperature as input. The Root Mean Squared Error for the fitting database of this formula was 0.025. We tested the derived formulas to three kinds of datasets and compared with the K. Gi models and the ITER Physics Design Guidelines model. The first test is for the compact neutron source with the same plasma size with the fitting database, the second (including reversed shear) and the third ones (positive shear only) are for the conventional reactor size. The best formula seems to be applicable to tokamak plasmas with a wide range of parameters.
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