Wavelet Entropy Measure Definition and Its Application for Transmission Line Fault Detection and Identification; (Part I: Definition and Methodology)

Shannon entropy in time domain can measure signal or system uncertainty. Spectrum entropy based on Shannon entropy can be taken as a measure of signal or system complexity. Use for reference, wavelet entropy measures built on wavelet analysis can signify the complexity of unsteady signal or system in both time domain and frequency domain. Beginning with the thought of information mergence and post-analysis in this paper, fundamental definitions of wavelet entropy measure are discussed, calculation methods including wavelet energy entropy, wavelet time entropy, wavelet singular entropy, wavelet time frequency entropy, wavelet average entropy and wavelet distance entropy are put forward, and their physical meanings are analyzed. Considering wavelet entropy measure applied well in field of EEG signal and mechanical fault diagnosis, the potential and approach that it is applied in transmission line fault detection and identification are analyzed.