Estimation of the circulating currents in the parallel operation of transformers

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For the $Y-Y-{\Delta}$ transformers operated in parallel, there exist two kinds of the circulating currents i.e. between the tanks and between the banks of the delta side. The proposed algorithm estimates the two circulating currents in the transformers in parallel in an ultra high voltage system. As the circulating current between the tanks is 90 deg out of phase of the load current, it is estimated by decomposing the line current into the component 90 deg out of phase of the load current. The circulating current between the banks in the delta side is estimated from the delta winding current and the line currents. The performance of the proposed algorithm is investigated when the impedances of the two transformer tanks are different or the taps of the on-load tap changer of the transformers are mismatched temporarily. Test results indicate that the algorithm can estimate the two kinds of the circulating currents successfully for both cases.