Experimental energy confinement time scaling with dimensionless parameters in C-Mod I-mode plasmas
The dependence of energy confinement time on gyroradius, β, and normalized collisionality in I-mode plasmas is investigated through dedicated C-Mod experiments scanning dimensionless parameters with constant safety factor. The gyroradius scaling is calculated to be Ω τE ∝ ρ * -3.9±1.5 , which suggests core transport may scale with gyro–Bohm physics, indicating favorable extrapolation of the I-mode regime to future devices at low ρ * . The scaling exponent for ν C is calculated to be small, but positive (Ω τE ∝ ν $^{0.44 ± 0.24}_{C}$), and the exponent for β is deemed inconclusive (Ω τE ∝ β 1.4±3.1 ) due to high correlation with the other two dimensionless variables in the dataset, and therefore requires further investigation. The individual dimensionless parameter scaling is compared to calculations from larger C-Mod I-mode datasets as well as multi-machine scaling laws for ELMy H-mode and L-mode plasmas. Finally, multiple regression techniques and principal component analysis are used to clarify the single parameter scalings and analyze parameter significance within the dataset.