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Transients in Transformers with Non-Uniform Inductance and Capacitance Distributions

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Języki publikacji
EN
Abstrakty
EN
The electromagnetic transients in transformer windings exhibiting location–dependent inductances and capacitances are investigated in the time domain. Analytical functions describing this dependence are assumed and incorporated in the two integro–differential equations governing the transient voltage and current distributions. The boundary conditions are available from the source initiating the transients and the winding’s end termination. A numerical procedure is applied in order to get frequency domain solutions for the voltage and current in the form of Interpolating and Parametric Functions. The numerical Laplace inversion is then applied to these s–domain expressions. Results pertinent to transients initiated by step- and double-exponential impulse sources are presented and discussed. All possible transformers’ neutral connections are considered. The possible error introduced by neglecting either or both of the inductance and capacitance non-uniformities is addressed. Results indicate that the main error is attributed to neglecting the inductance non-uniformity, whereas the impact of the capacitance non-uniformity is relatively small. In most cases, the winding’s copper and insulation losses have a small effect on the transient response.
Rocznik
Strony
7--14
Opis fizyczny
Bibliogr. 22 poz., rys., tab.
Twórcy
autor
  • 6, Hassan-Mohamed Street, Giza, Cairo, Egypt
Bibliografia
  • [1] A. Greenwood, Electrical Transients in Power Systems, 2nd ed. Wiley-Interscience, 1991, ch. 11.
  • [2] R.C. Degeneff, “A General Method for Determining Resonances in Transformer Windings,” IEEE Trans. Power App. Syst., vol. 96, no. 2, pp. 423–430, Mar. 1977.
  • [3] S. Hosseini, M. Vakilian and G. Gharehpetian, “Comparison of Transformer Detailed Models for Fast and Very Fast Transient Studies,” IEEE Trans. Power Del., vol. 23, no. 2, pp. 733–741, Apr. 2008.
  • [4] M.M. Saied and A.S. AlFuhaid, “Electromagnetic Transients in Line-Transformer Cascade by a Numerical Laplace Transform Technique,” IEEE Trans. Power App. Syst., vol. 104, no. 10, pp. 2901–2909, Oct. 1985.
  • [5] M.M. Saied and A.S. AlFuhaid, “Frequency Response of Two-Winding Transformers Obtained by a Distributed-Parameter s-Domain Method,” J. Electric Power Components and Systems, vol. 32, no. 8, pp. 755–766, Aug. 2004.
  • [6] R. Jayaratchagan and B. Shriram, “Impulse Voltage Distribution”, International Journal of Engineering Research & Technology (IJERT), vol. 2, no. 4, pp. 1203–1207, Apr. 2013.
  • [7] M.M. Saied, “New Solution Technique for the Frequency and Transient Response of Transformer Windings with All InterTurn Mutual Inductances and Capacitances Included,” Trends In Electrical Engineering, vol. 3, no. 1, 2013.
  • [8] M. Saied, “A Contribution to the Frequency Analysis and the Transient Response of Power Transformers’ Windings,” J. Electric Power Components and Systems, vol. 42, no. 11, pp. 1143–1151, Jul. 2014.
  • [9] M. Popov, L. Sluis and R. Smeets, “Complete analysis of Very Fast Transients in Layer-type Transformer Windings,” presented at the International Conference on Power Systems Transients (IPST’07), Lyon, France, 2007.
  • [10] M.M. Saied, “Transformer Modeling for The Frequency and Transient Analyses, with Non-Uniform Inductance Emulating The Inter-Turn Magnetic Coupling,” Electrical Power and Utilisation J., vol. 17, no. 1, pp. 1–11, Jun. 2014.
  • [11] A. Predota, Z. Benesova and L. Koudela, “Analysis of Transients in Transformer Winding Respecting Space-Varying Inductance”, Przegląd Elektrotechniczny, vol. 88, no. 7b, pp. 220–222, Jul. 2012.
  • [12] M.M. Saied, ”Modeling of Transformer Windings having Nonuniform Inductance Distribution,” J. of Power Electronics & Power Systems, vol. 3, no. 3, pp. 12–25, 2014.
  • [13] A. Predota and Z. Benesova, “Fast Transient Overvoltage in Transformer Winding,” Przegląd Elektrotechniczny, vol. 87, no. 5, pp. 142–145, May 2011.
  • [14] M.M. Saied, ”The Transient Response and Frequency Characteristics of Power Transformers Having Non-Uniform Winding Insulation,” J. of Power Electronics & Power Systems, vol. 4, no. 1, pp. 37–52, 2014.
  • [15] Wolfram Research Inc. (2014), Documentation on the software Mathematica 10. [On-line]. Available: http://www.wolfram.com/mathematica/?source=nav [2014].
  • [16] Wolfram Research Inc. (2008), Wolfram Mathematica Tutorial Collection: Advanced Numerical Differential Equation Solving in Mathematica. [On-line]. Available: http://www.wolfram.com/learningcenter/tutorialcollection/AdvancedNumericalDifferentialEquationSolvingInMathematica/ [2008].
  • [17] M.M. Saied, “An Analytical Method for the Analysis of Transformer Windings Having Non-Uniform Capacitance Distribution,” J. of Power Electronics & Power Systems, vol. 5, no. 2, pp. 1–14, 2015.
  • [18] J. Manafian, “Solving the integro-differential equations using the modified Laplace Adomian decomposition method”, J. of Mathematical Extension, vol. 6, no. 1, pp. 1–15, 2012.
  • [19] E. Hesameddini and E. Asadolhifard,”Solving Systems of Linear Volterra Integro-Differential Equations by Using Sinc-Collocation Method,” Int. J. of Mathematical Engineering and Science, vol. 2, no. 7, pp. 1–9, Jul. 2013.
  • [20] M. Turkyilmazoglu, “High-order nonlinear Volterra–Fredholm-Hammerstein integro-differential equations and their effective computation,” Applied Mathematics and Computation, vol. 247, pp. 410–416, Nov. 2014.
  • [21] M. Saied, “Frequency Characteristics of Transformer Windings with Separation-Dependent Inter-Turn Mutual Parameters,” J. of Power Electronics & Power Systems, vol. 6, no. 3, pp. 72–81, 2016.
  • [22] T. Hosono, “Numerical Inversion of Laplace Transform with some Applications to Wave Optics,” Radio Science, vol. 16, no. 6, pp. 1015–1019, Nov.-Dec. 1981.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-a9078cf5-ce0b-4e0b-8ae5-e0be3baea164
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