Ideal MHD properties for proposed noncircular tokamaks

We obtain Double Dee, TFXC-C, Big Dee, and JET equlibria which are optimized with respect to both shape and current profile for stability to ideal MHD modes. With a wall reasonably far from the plasma surface we find that the external kink constrains q/sub 1/ to be above two, where q/sub 1/ is the plasma surface value of the safety factor, and the ballooning mode limits the value of ..beta... Then a relevant stable ..beta.. value for the Double Dee reactor design is over 7%. Such a Double Dee equilibrium is not in a separated second stability region and thus does not have a problem with accessibility. A relevant stable ..beta.. value for the TFCX-C reactor design is over 6%. Equivalent relevant stable ..beta.. values for the Big Dee (17%) and JET (7%) are included for calibration purposes. We compare these relevant stable ..beta.. values with the ..beta..'s determined by two recent scaling laws.