To fabricate a 0.7 FJ, 100 kVA $mu$SMES device for improving power quality in sensitive electric loads, we developed a design code for a $mu$SMES device and designed the 0.7 MJ $mu$SMES device by using it. In this study special emphasis was placed in influence of winding tensions on quench currents of superconducting coils because dry superconducting coils are usually quenched by local disturbances due to strand motions. We first investigated the quench currents of a few kA class superconducting cables for various winding tensions experimentally. To prove the validity of the code and develop all techniques related to fabrication and test of the 0.7 MJ $mu$SMES device, a smaller size superconducting coil was wound with high winding tension of about 15 kgf/$mm^2$ based on the test results of superconducting cables and tested. It isshown form the test results that designed parameters for the smaller size superconducting coil are in good agreements with measured ones and the quench current of the coil with high winding tension reaches nearly to the critical current of the superconducting cable without any training effects.