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 arecessed 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.