Estimation of a circulating current of a three-phase Y-Y-$\Delta$ transformer

3권선 변압기 순환전류 추정 알고리즘

In the case of the transformers including the delta winding such as a three-phase Y-Y-$\Delta$ transformer, a delta winding current flows in the delta windings. The delta winding current of a three-phase Y-Y-$\Delta$ transformer is decomposed into a non-circulating current and a circulating current. The former can be estimated directly from the line currents, but the latter can not. This paper proposes an estimation method for a circulating current of a Y-Y-$\Delta$ Transformer. A first order differential equation for the circulating current is derived by applying the Kirchhoff's voltage law on the loop of the delta side. The circulating current can be estimated by solving the differential equation. Various test results indicate the algorithm can estimate the circulating current accurately even under over-excitation and magnetic inrush.