In large scale SMES, huge electromagnetic force caused by high magnetic fields and coil currents is a serious problem. In order to solve this problem, we propose a concept of Force-Balanced Coil (FBC) applied to the SMES. The FBC balances the centering force with the hoop force, both of which are exerted in the major radius direction. Moreover, for the optimization of large aspect ratio superconducting coils, we propose a Stress-Balanced Coil (SBC) concept, improving the concept of FBC, which balances magnetic pressures at the coil nose part where the produced magnetic field reaches its maximum value. Comparing the Toroidal magnetic Field Coil (TFC) and FBC with SBC, the last can reduce coil stresses and obtain large stored energy with shorter length conductors and/or lower magnetic fields.