I. Introduction
Power transformers are significantly important devices in power system operation and stability. Thus, it is crucial to protect power transformers against the damages because of the significant role and high cost of transformers. Failures of power transformers are becoming increasingly important, while the power transformer market is projected to reach from 20.71 billion in 2015 to 29.91 billion by 2020 [1]. According to a International Council on Large Electric Systems (CIGRE) technical report, about 11.62% of the power transformers failures are concerned with winding faults [2]. The differential relay is the major protection equipment in large power transformer, owing to its simplicity and fast operation [3]. When a transformer is first energized or experiences a sudden change, a transient current with about eight to ten times larger magnitude than that of the full load current can flow in the transformer windings, which is called inrush current [4]. The differential relay is not always able to distinguish the inrush current from internal faults [3], [5].