Numerical calculations of internal impedance of solid and tubular cylindrical conductors under large parameters

Access Full Text

Numerical calculations of internal impedance of solid and tubular cylindrical conductors under large parameters

For access to this article, please select a purchase option:

Buy article PDF
£12.50
(plus tax if applicable)
Add to cart
Buy Knowledge Pack
10 articles for £75.00
(plus taxes if applicable)
Add to cart

IET members benefit from discounts to all IET publications and free access to E&T Magazine. If you are an IET member, log in to your account and the discounts will automatically be applied.

Learn more about IET membership 

Recommend Title Publication to library

You must fill out fields marked with: *

Librarian details
Name:*
Email:*
Your details
Name:*
Email:*
Department:*
Why are you recommending this title?
Select reason:
 
 
 
 
 
IEE Proceedings - Generation, Transmission and Distribution — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

© IEE
Published

When calculating the internal impedance of solid or tubular cylindrical conductors, Bessel functions are involved if the skin effect has to be taken into account. Under unfavourable conditions, large parameters of the Bessel functions will occur, which will lead to unreliable results if the Bessel series are computed directly. Using the polynomial approximations of Bessel functions, closed-form formulas are developed to deal with this problem. For the convenience of applications, several sets of curves, for both the skin effect resistance ratio and internal inductance ratio of solid and tubular cylindrical conductors, which cover different ranges of parameters, are presented.

Inspec keywords: polynomial approximation; skin effect; Bessel functions; conductors (electric); electric impedance

Other keywords: solid cylindrical conductors; internal impedance; closed-form formulas; Bessel functions; internal inductance ratio; skin effect resistance ratio; tubular cylindrical conductors; skin effect; polynomial approximations

Subjects: Interpolation and function approximation (numerical analysis); Power transmission lines and cables; Mathematical analysis

References

    1. 1)
      • H.W. Dommel . (1992) EMTP Theory Book.
    2. 2)
      • W.A. Lewis , P.D. Tuttle . The resistance and reactance of Aluminium conductors, Steel reinforced. AIEE Trans. , 1189 - 1215
    3. 3)
      • J.C. Brown , J. Allan , B. Mellitt . Calculation and measurement of rail impedances applicable to remote short circuit fault currents. IEE Proc. B. Electr. Power Appl. , 4 , 295 - 302
    4. 4)
      • H.B. Dwight . Skin effect in tubular and flat conductors. AIEE Trans. , 2 , 1379 - 1403
    5. 5)
      • W.D. Stevenson . (1962) Elements of Power System Analysis.
    6. 6)
      • H.W. Dommel . Overhead line parameters from handbook formulas and computer programs. IEEE Trans., Power Appar. Syst. , 2 , 366 - 372
    7. 7)
      • A.H.M. Arnold . The alternating-current resistance of tubular conductors. J. IEE , 580 - 593
    8. 8)
      • A. Semlyen , A. Deri . Time domain modeling of frequency dependent three phase transmission line impedance. IEEE Trans., Power Appar. Syst. , 6 , 1549 - 1555
    9. 9)
      • L.M. Wedepohl , D.J. Wilcox . Transient analysis of underground power transmission systems. System-model and wave-propagation characteristics. Proc. Inst. Electr. Eng. , 2 , 253 - 260
    10. 10)
      • L.F. Woodruff . (1938) Principles of Electric Power Transmission.
    11. 11)
      • M. Abramowitz , I.A. Stegun . (1964) , Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Applied Mathematical Series 55.
    12. 12)
      • H.B. Dwight . Skin effect and proximity effect in tubular conductors. AIEE Trans. , 189 - 198
http://iet.metastore.ingenta.com/content/journals/10.1049/ip-gtd_20030981
Loading

Related content

content/journals/10.1049/ip-gtd_20030981
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading