Thesis (M.S., Mechanical Engineering) -- University of Idaho, 2017 | High speed flywheel energy storage systems (FESS) are predicted to outperform other energy storage systems in energy density, environmental impact, and lifetime. Proper development can transcend FESS into the new standard of energy storage for space and terrestrial applications. Maintaining structural integrity of a hubless, high speed rotating machine requires the use of high strength, light weight composites. A field regulated reluctance machine (FRRM) requires a magnetically permeable material and irregular geometry to electromagnetically spin the flywheel. This thesis describes modeling of mechanical and electromagnetic changes created by geometry and material necessary to produce rotation. Incorporating permeable composite materials will be examined to categorize characteristics favoring design constraints. The design space will be explored and mapped with the use of an interpolation process known as Kriging. After future constraints are determined, the blueprint will be helpful in determining optimal material and geometry to maximize energy stored by the flywheel.