Effects of plasma rotation in reconstructed 3-D equilibria for DIII-D

A technique for tokamak equilibrium reconstructions when weakly 3-D fields ($\delta$B/B $\sim$ 10$^{-3}$) are applied is used for inner-wall-limited DIII-D discharges. The technique couples diagnostics to the non-linear, ideal MHD equilibrium solver VMEC, using the V3FIT code, to find the most likely 3-D equilibrium based on a suite of measurements. Observations at DIII-D show that plasma rotation larger than 20 krad/s changes the relative phase between the applied 3-D fields and the measured plasma response. Numerical simulations of linear, resistive, 2-fluid MHD show, that large plasma rotation increases flux surface corrugations1. Discharges with low averaged ($\sim$10 krad/s) and peaked rotation profiles ($\sim$40 krad/s) are reconstructed. Similarities and differences to forward modeled VMEC equilibria, which do not include rotational effects, are shown. The resulting significance of including rotational effects in VMEC is discussed.