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IEEE TRANSACTIONS ON POWER DELIVERY, VOL. 21, NO. 3, JULY 2006 1063 Analysis of Partial Discharge Signal Using the Hilbert–Huang Transform Xiaodong Wang, Baoqing Li, Zhiwei Liu, Harry T. Roman, Onofrio L. Russo, Ken K. Chin, and Kenneth R. Farmer Abstract— The development of time-frequency and time-scale point. We will introduce the whole process of analyszing the PD transforms has progressed rapidly over the last 20 years. The using HHT. development and progression of numerical acquisition enable the utilization of these mathematical tools to analyze partial discharge in electrical equipment [1]–[3]. This paper introduces a new II. HILBERT TRANSFORM transform, a Hilbert–Huang Transform [3], to analyze partial For an arbitrary time series , we can always have its discharge data. The mathematical model of a Hilbert–Huang Transform is described; and its application in a PD application Hilbert transform [4] shows its great advantage. Index Terms—Partial discharge, fast Fourier transform (FFT), (1) Hilbert–Huang Transform (HHT). where indicates the Cauchy principal value. With this defini- I. INTRODUCTION tion, and form a complex conjugate pair, so we can have an analytic signal as ARTIAL DISCHARGE (PD) is a very common problem Pin operating power transformers and is one of the factors that could lead to the failure of a power transformer. The usual mathematical tool fo