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

Yıl 2013, Cilt: 17 Sayı: 3, 337 - 348, 01.06.2013

Faruk Yalçın Uğur Arifoğlu

Öz

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.

Anahtar Kelimeler

Tap Changer Transformer, Jacobian Matrix, Power Flow

Kademe ayarlı transformatörlere ait kademe ayar değerlerinin Jacobian matrise kontrol değişkeni olarak sokulması

Öz

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.

Anahtar Kelimeler

Kademe Ayarlı Transformatör, Jacobian Matris, Güç Akışı

Kaynakça

• Jimenez, J.C., Nwankpa, C.O., ‘Analysis of Reconfigurable Tap Changing Transformer Model Through Analog Emulation’, IEEE International Symposium on Circuits and System, Taipei, 2009.
• Okyere, H.K., Nouri, H., Moradi, H., Zhenbiao, L., ‘Statcom and Load Tap Changing Transformer (LTC) in Newton Raphson Power Flow: Bus Voltage Constraint and Losses’, 42 nd International Universities Power Engineering Conference, Brighton, 2007.
• Fan, J., Bo, Z., ‘Modelling of On-load Tapchanger Transformer with Variable Impedance and Its Applications’, International Conference on Energy Management and Power Delivery, Vol. 2, 491-494, 1998.
• Yalçın, F., ‘FACTS Cihazları İçeren AA-DA Sisteminde Optimal Güç Akışı Hesabı İçin Yeni Bir Yaklaşım’, Doktora Tezi, Sakarya Üniversitesi Fen Bilimleri Enstitüsü, Sakarya, 20 Heydt, G.T., ‘Computer analysis methods for power systems’, Macmillan Publishing Company, NY, 1986.
• Lu, C.N., Chen, S.S., Ong, C.M., ‘The Incorporation of HVDC Equations in Optimal Power Flow Methods Using Sequential Quadratic Programming Techniques’, IEEE Transactions on Power Systems, Vol. 3-3, 10051011, 1988.
• Arifoğlu, U., ‘Inserting the Tap Values of the Tap Changing Under Load Transformers to the Jacobian Matrix as the State Variables’, Yıldız Teknik Üniversitesi Dergisi, 1997.
• Arifoğlu, U., ‘Alternatif Akım-Doğru Akım Sisteminde Ayrık Yöntem Kullanımı ile Optimal Güç Dağılımı Hesabı İçin Yeni Bir Yaklaşım’, Doktora Tezi, İstanbul Teknik Üniversitesi Fen Bilimleri Enstitüsü, İstanbul, 1993.