COMPUTATION OF PER-UNIT-LENGTH INTERNAL IMPEDANCE OF A MULTILAYER CYLINDRICAL CONDUCTOR WITH POSSIBLE DIELECTRIC LAYERS
Abstract
In this manuscript, a novel method for computation of per-unit-length internal impedance of a cylindrical multilayer conductor with conductive and dielectric layers is presented in detail. In addition to this, formulas for computation of electric and magnetic field distribution throughout the entire multilayer conductor (including dielectric layers) have been derived. The presented formulas for electric and magnetic field in conductive layers have been directly derived from Maxwell equations using modified Bessel functions. However, electric and magnetic field in dielectric layers has been computed indirectly from the electric and magnetic fields in contiguous conductive layers which reduces the total number of unknowns in the system of equations. Displacement currents have been disregarded in both conductive and dielectric layers. This is justifiable if the conductive layers are good conductors. The validity of introducing these approximations is tested in the paper versus a model that takes into account displacement currents in all types of layers.
Keywords
Full Text:
PDFReferences
S. Olsen, C. Traeholt, A. Kuhle, O. Tonnesen, M. Daumling, and J. Ostergaard, "Loss and inductance investigations in a 4-layer superconducting prototype cable conductor, " IEEE Transactions on Applied Superconductivity, vol. 9, no. 2, pp. 833–836, 1999.
V. Morgan, "Effects of alternating and direct current, power frequency, temperature, and tension on the electrical parameters of ACSR conductors, " IEEE Transactions on Power Delivery, vol. 18, no. 3, pp. 859–866, 2003.
Z. Zhihua, M. Weiming, "AC impedance of an isolated flat conductor," IEEE Transactions on Electromagnetic Compatibility, vol. 44, no. 3, pp. 482–486, 2002.
W. Mingli, F. Yu, "Numerical calculations of internal impedance of solid and tubular cylindrical conductors under large parameters," IEE Proceedings - Generation, Transmission and Distribution, vol. 151, no. 1, pp. 67–72, 2004.
G. A. Antonini, A. Orlandi, C. R. Paul, "Internal impedance of conductors of rectangular cross section," IEEE Transactions on Microwave Theory and Techniques, vol. 47, no. 7, pp. 979–985, 1999.
S. Vujević, P. Sarajčev, D. Lovrić, "Time-harmonic analysis of grounding system in horizontally stratified multilayer medium," Electric Power Systems Research, vol. 83, pp. 28–37, 2011.
L. Grcev, F. Dawalibi, "An electromagnetic model for transients in grounding systems," IEEE Transactions on Power Delivery, vol. 5, pp. 1779–1781, 1990.
J. A. Brandao Faria, "A circuit approach for the electromagnetic analysis of inhomogeneous cylindrical structures," Progress in Electromagnetics Research B, vol. 30, pp. 223–238, 2011.
J. A. Brandao Faria, "A matrix approach for the evaluation of the internal impedance of multilayered cylindrical structures," Progress in Electromagnetics Research B, vol. 28, pp. 351–367, 2011.
K. Kubiczek, M. Kampik, "Highly accurate and numerically stable matrix computations of the internal impedance of multilayer cylindrical conductors," IEEE Transactions on Electromagnetic Compatibility, vol. 62, no. 1, pp. 204–211, 2020.
S. Vujević, D. Lovrić, I. Krolo, I. Duvnjak, "Computation of electric and magnetic field distribution inside a multilayer cylindrical conductor," Progress in Electromagnetics Research M, vol. 88, pp. 53–63, 2020.
M. Abramowitz, I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, New York: Dover Publications, 1964.
S. Vujević, D. Lovrić, V. Boras, "High-accurate numerical computation of internal impedance of cylindrical conductors for complex arguments of arbitrary magnitude", IEEE Transactions on Electromagnetic Compatibility, vol. 56, pp. 1431–1438, 2014.
S. Vujević, D. Lovrić, "On the numerical computation of cylindrical conductor internal impedance for complex arguments of large magnitude", Facta Universitatis Series: Electronics and Energetics, vol. 30, no. 1, pp. 81–91, 2017.
D. Lovrić, S. Vujević, "Accurate computation of internal impedance of two-layer cylindrical conductors for arguments of arbitrary magnitude," IEEE Transactions on Electromagnetic Compatibility, vol. 60, no. 2, pp. 347–353, 2018.
Refbacks
- There are currently no refbacks.
ISSN: 0353-3670 (Print)
ISSN: 2217-5997 (Online)
COBISS.SR-ID 12826626