Transient stability analysis based on the sensitivity of trajectory length

The length of the trajectory is proposed as a function for the employment of the sensitivity analysis method in power system transient stability analysis. Its sensitivity to the fault-clearing time is about 10 times higher than that of the energy function or the distance function. The integrating time is reduced to less than 3 s while the accuracy is maintained. It can also be used to provide parameter limits. Simulations on the WSCC 4 machine system and the New England system verify the effectiveness of sensitivity of trajectory length in transient stability analysis.