Superconducting fault current limiters (SFCLs) are used to limit the short-circuit current level in electrical transmission and distribution networks. Applications of SFCLs would not only decrease the stress on network devices, but also can offer a connection to improve the reliability of power system. They also make electric power network more powerful and integrated. This paper proposes two concepts of SFCLs with two superconducting materials. Firstly, resistive-SFCL which is inserted directly in series with the circuit to be protected. Secondly, inductive-SFCL which is a transformer shorted by superconducting tube. YBCO and Bi-2212 were used with both concepts. Resistance of both materials turns from zero to high values during fault condition to limit the fault current. A comparison between these materials in the two concepts was performed. Important parameters such as the material temperature and resistance were discussed. Simulation studies were performed on single-machine infinite bus system using MATLAB toolbox.