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Using the high-frequency transient caused by faults to detect the faults is a new protective principle in transmission line protection; the faulted transient components include abundant faulting information. This paper combine Wavelet transform (WT), SVD(Singular Value Decomposition) and Information entropy together, then puts forward the definition and arithmetic of WTSE which can represent the composition and complexity of signals. WTSE has a good time-following characteristic so it can be used for fault detection in transmission line of power system. Simulations are carried out on a simplified transmission line model in PSCAD/EMTDC and MATLAB. The result proves that: the application in fault detection of WTSE has no relation to the fault time and won't be affected by grounding resistance, so the WTSE is an available method and has a good prospect in fault detection.