PIER M | |

Progress In Electromagnetics Research M | ISSN: 1937-8726 |

Home > Vol. 26 > pp. 225-236
## EXACT CLOSED FORM FORMULA FOR SELF INDUCTANCE OF CONDUCTOR OF RECTANGULAR CROSS SECTIONBy Z. Piatek and B. Baron
Abstract:
In this paper, self inductance for a conductor with rectangular cross section is investigated. Using the threedimensional Fredholm's integral equation of the second kind with weakly singular kernel we obtain an equation for the complex voltage drop in the conductor. Self impedance appearing in the equation is expressed in the form of integral relation for any current density distribution. The imaginary part of this impedance divided by angular frequency is the self inductance of a conductor of any shape and finite length. In the case of direct current (DC), low frequency (LF) or thin strip conductor of rectangular cross section the formulae for the self inductances are given for any length and for length much greater than the other dimensions.
2. Kazimierczuk, M. K., 3. Paul, C. R., "Inductance: Loop and Partial," 4. Antonini, G., A. Orlandi, and C. R. Paul, "Internal impedance of conductor of rectangular cross section," 5. Broyde, F., E. Clavelier, and L. Broyde, "A direct current per-unit-length inductance matrix computation using modified partial inductance," 6. Hashemi-Nasad, M. and A. Cheldavi, "Coupling model for the two orthogonal microstrip lines in two layer PCB board (quasi-tem approach)," 7. Koledintseva, M. Y., J. L. Drewniak, T. P. Van Doren, D. J. Pommerenke, M. Cocchini, and D. M. Hockanson, "Method of edge currents for calculating mutual external inductance in a microstrip structure," 8. Arshadi, A. and A. Cheldavi, "Simple and novel model for edged microstrip line (EMTL)," 9. Matsuki, M. and A. Matsushima, "Improved numerical method for computing internal impedance of a rectangular conductor and discussions of its high frequency behavior," 10. Bueno, M. A. and A. K. T. Assis, "A new method for inductance calculations," 11. Ruehli, A. E., "Inductance calculations in a complex integrated circuit environment," 12. Grover, F. W., 13. Kim, H. and C. C. P. Chen, "Be careful of self and mutual inductance formulae,", 2009, Online: http://ccf.ee.ntu.edu.tw/»cchen/research/CompInduct9.pdf.. 14. Hoer, C. and C. Love, "Exact inductance equations for rectangular conductors with application to more complicated geometries," 15. Konrad, A., "Interodifferential finite element formulation of two-dimensional steady-state skin effect problems," 16. Piatek, Z., "Self and mutual impedances of a finite length gas insulated transmission line (GIL)," 17. Piatek, Z., "Impedances of Tubular High Current Busducts," |

© Copyright 2010 EMW Publishing. All Rights Reserved