According to the characteristics of superconducting fault current limiters（SFCL），the SFCL can be divided into two types：inductor type and resistor type. The total transfer impedance and the generator power-output expressions are deduced after introducing SFCL when short circuit faults occurs on different locations of a transmission line in a single machine to infinite-busbar system. From the view of the power angle relationship, the effects of inductor type and resistor type SFCL on power system transient stability are analyzed，a mathematical proof and a physical explanation are also given. The improved Euler algorithm is used for the time-domain simulation of transient stability to proving the analytical results.