I. Introduction
Transformer is one of the most important primary equipments and its stability and security have great influence on the operational conditions of a power grid. Differential protection has been the primary protective method of transformers for a long time. However, malfunction of differential protection may happen when inrush current appears in a transformer. In the past decades, scientists focused mainly on the discrimination between inrush currents and internal fault currents. A number of identification and restraining methods for inrush currents based on various mathematical principles have been proposed in [1]– [5]. Nevertheless, these methods assumed that there was only one transformer in the power grid, ignoring the fact that there were always other transformers already connected. In fact, sympathetic interaction between transformers occurs when energizing a no-load transformer in parallel or in series with transformers already connected [6]. As a result, offset magnetizing currents with high magnitude, called sympathetic inrush, are generated in those transformers already in operation. Obviously, this phenomenon would influence the accuracy of the transformer differential protection relay [7]. Moreover, sympathetic inrush may cause power quality problems such as voltage digs [8]. Therefore, accurate identification of sympathetic inrush is essential for the reliability of transformer differential protection.