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An SFCL(Superconducting Fault Current Limiter), which has zero impedance characteristic, doesn"t have power loss and limits fault current quickly, therefore it plays a rule as a protective equipment. And there are many types of SFCLs. In this paper, we analyzed operating characteristics of a double quench SFCL with a transformer. When a fault current flows on this SFCL, a HTSC(High Temperature Superconducting) element on primary of the transformer is operated and then a HTSC element on secondary of the transformer is operated. We tested this SFCL according to turn ratio and compared a double quench SFCL with series resistance for the SFCL with a transformer. After experiments, we could confirm fault current limiting characteristics of the SFCL with a transformer according to turn ratio. Also operating characteristics and power burden of HTSC element according to application for series resistance and for transformer were verified.