Abstract: As an infrastructure, a traditional power transmission system (TPTS) is the main body in a smart grid. Its stability affects the overall performance of smart grids. Especially, fault self-healing capability of TPTS is necessary and important for smart grids during the peak power transmission periods. This paper proposes the definitions of TPTS in Petri net perspective. The Petri net model was analyzed and the schemes to detect fault and locate fault were presented. Moreover, a fault restoration scheme was proposed during the peak power transmission periods to improve the utilization rates of power emergency lines and system fault restoration rates. Finally, an example was given to illustrate the schemes.