Analytical Method of Designing Force-Balanced Tokamaks

Stresses developed in high field toroidal magnets based on high temperature superconductors are often limiting factors preventing further increase of magnetic fields. One of possible ways to reduce stresses is so called force-balanced magnets where non-planar coils are used. Proper orientation of coils can signicantly reduce and even cancel locally electromagnetic forces. We propose a simpe analytical approach to design of force-balanced magnets.