A system for connecting superconducting tapes in a superconducting fault current limiter (SCFCL) system is disclosed. The novel connector system allows two superconducting tapes to be installed in a single opening in a connector stack. This reduced the height of the connector stack by nearly 50%, making the SCFCL system more efficient and smaller in volume. In one embodiment, each connector has a recessed portion on both the top and bottom surfaces, such that when stacked on another connector, the recessed portions align, forming a larger opening. In another embodiment, the connector has a single recessed portion that can accommodate two superconducting tapes. The superconducting tapes may be disposed in a protective sleeve.