Inserting the tap values of the tap changer transformers into the Jacobian matrix as control variables

Abstract

Series and shunt admittance values of under load tap changer transformers are changed according to tap changing. As this situation changes the structure of bus admittance matrix, it causes the need of rebuilding the bus admittance matrix at each tap changing case in power flow studies. In this paper, a new approach that includes the tap changing effects into the Jacobian matrix. By this approach, the need of rebuilding the bus admittance matrix at each tap changing case during power flow study is prevented. So, fast convergence is achieved for the power flow algorithm. Although there are similar studies for this aim in the literature, apart from these studies, including the tap changing effects to the Jacobian matrix when more than one under load tap changer transformers are connected to the same bus with different connection combinations is provided by the proposed approach. For this aim, new power equations and new Jacobian matrix component calculation equations are obtained. The proposed approach is tested on IEEE 57-bus test system and its accuracy is proved.