I. Introduction
Early detection and diagnosis of transformer internal faults are desirable for condition assessment, maintenance schedule, and improved operational efficiency of the transformer. Transformer fault diagnosis requires accurate modeling under fault conditions, particularly internal faults. Nearly 70% of transformer failures are caused by undetected turn-to-turn faults. These faults usually begin as undetected turn-to-turn faults in a coil, which progress to phase-to-phase or phase-to-ground short circuit faults. Because of costly repair, down time, and safety consideration, early detection of transformer internal faults is highly desirable.