TY - JOUR T1 - The Effect of GIBBS Factor on Transient Analysis in Underground Power Cables AU - Emiroglu, Selcuk AU - Uyaroglu, Yılmaz PY - 2019 DA - October Y2 - 2019 DO - 10.16984/saufenbilder.529265 JF - Sakarya University Journal of Science JO - SAUJS PB - Sakarya University WT - DergiPark SN - 2147-835X SP - 934 EP - 941 VL - 23 IS - 5 LA - en AB - In thiswork, the transient over – voltage phenomena occurred at 34.5 kV AC undergroundcable transmission systems during the closure of the underground cables is tobe studied and simulated by using MATLAB program. Then, the transient voltageoccurred at the underground cables is analyzed by using modified Fouriertransform. The studied systems of underground cables are firstly modeled infrequency domain. Transient voltages induced at the sending-end and receiving-endterminals of an underground cable of transmission system are calculated infrequency domain and using inverse Fourier Transform, the sending end and receivingend voltages are obtained by converting to time domain. The effects of cablelength and source impedance on transient over – voltage phenomena atunderground cables are investigated. Also, the effects of GIBBS factor intransients are researched in order to eliminate GIBBS oscillations. Numericalsimulations are presented to demonstrate the transient voltages induced at theterminals of sending-end and receiving-end of an underground cable attransmission system and the effects of GIBBS factor. KW - Transient analysis KW - underground cables KW - Fourier transforms KW - GIBBS oscillation CR - Y. Uyaroğlu, Switching Transients Analysis in Underground Power Cables. M.Sc. Thesis, Sakarya University, 1997.(in Turkish) CR - L. M. Wedepohl and C. S. Indulkar, “Switching Overvoltages in Long Crossbonded Cable Systems Using the Fourier Transform,” IEEE Transactions on Power Apparatus and Systems, pp. 1476- 1480, July/August 1979. CR - Ana Isabel Brito, V. Maló Machado, M.E. Almeida, M. Guerreiro das Neves, “Skin and proximity effects in the series-impedance of three-phase underground cables,” Electric Power Systems Research,130,132-138, 2016. CR - W. D. Humpage, K. P. Wong, T. T. Nguyen, and D. Sutanto, “Z-transform electromagnetic transient analysis in power systems,” Proc. Inst. Elec. Eng., C, Gen. Trans. Dist., vol. 127, pp. 370-378, Nov. 1980. CR - W. D. Humpage, K. P. Wong, T. T. Nguyen, “Z-transform electromagnetic transient analysis in crossbonded cable transmission systems,” Proc. Inst Elec. Eng, C, Gen. Trans. Dist., vol. 128, pp. 55-62, 1981. CR - T. Noda, A. Ramirez, “Z-transform based methods for electromagnetic transient simulations, ” IEEE Trans.on Delivery, vol. 22, no. 3, July 2007. CR - I. Kocar, J. Mahseredjian, G. Olivier, “Weighting Method for Transient Analysis of Underground Cables,” IEEE Transactions on Power Delivery, vol. 23, no. 3, July 2008. CR - B.A. Suleimanov, O.A. Dyshin, “Application of discrete wavelet transform to the solution of boundary value problems for quasi-linear parabolic equations,” Applied Mathematics and Computation 219 7036–7047, 2013. CR - Heng-Xu Ha, Yu-Zhen Tan, Bo Chen, and Z. Q. Bo, “A Novel Electro-magnetic Transient Analysis Method Based on Orthogonal Projection Approach,” Progress In Electromagnetics Research Symposium Proceedings, Moscow, Russia, August 18 -21, 2009. CR - A. Semlyen and Mansour H. Abdel-Rahman, “A State Variable Approach for the Calculation of Switching Transients on a Power Transmission Line,” IEEE Trans. on Circuits and Systems, vol. cas. 29, no. 9, pp. 624-633, September 1982. CR - L.M. Wedepohl , S.E.T. Mohamed, “Multiconductor Transmission Lines, Theory of Natural Modes and Fourier Integral Applied to Transient Analysis,” Proc.IEE ,Vol. 116., No 9., September 1969. CR - L.M. Wedepohl , C.S. Indulkar, “Switching Overvoltages in Long Crossbonded Cable Systems Using the Fourier Transform,” IEEE Transactions on Power Apparatus and Systems, Vol. PAS-98, No 4 July/August, 1974. CR - C. Lanczos, “Applied Analysis”, Prentice-Hall 539 pp., 1956. CR - Ali Abdi, Seyed Mohammad Hosseini, “An investigation of resolution of 2-variate Gibbs phenomenon, ” Applied Mathematics and Computation 203, 714–732,2008. CR - E. Berriochoa, A. Cachafeiro, J. Díaz, “Gibbs phenomenon in the Hermite interpolation on the circle,” Applied Mathematics and Computation, 253, 274-286, 2015. CR - U. Ünver, “Transient Analysis of Cable Systems Including the effect of Nonlineer Protective Devices,” PhD. Thesis, University of Manchester Institute of Science and Technology, 1979. UR - https://doi.org/10.16984/saufenbilder.529265 L1 - https://dergipark.org.tr/en/download/article-file/764615 ER -