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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2011-01-19
Accuracy of Approximate Formulas for Internal Impedance of Tubular Cylindrical Conductors for Large Parameters
By
Dino Lovrić,

    Dr. Dino Lovrić

    Faculty of Electrical Engineering

    University of Split

    Croatia

    Homepage

Vedran Boras,

    Prof. Vedran Boras

    University of Split

    Croatia

    Homepage

Slavko Vujević

    Professor Slavko Vujević

    University of Split

    Croatia

    Homepage

Progress In Electromagnetics Research M, Vol. 16, 171-184, 2011
doi:10.2528/PIERM10121503 | Google Scholar

Abstract
Exact formulas for internal impedance per unit length of tubular cylindrical conductors energized by time-harmonic current involve Bessel functions. These functions are defined by infinite series, which yield unstable and often erroneous results for complex arguments of large magnitudes. Although it is well known how to evaluate Bessel functions numerically and many routines are now available to perform the actual computation, the available software routines often fail when computing equations that consist of a product and a quotient of Bessel functions under large complex or real arguments. For such cases, different approximate formulas can be used. In this paper, three types of approximate formulas for internal impedance of tubular cylindrical conductors are compared with respect to numerical stability and accuracy.
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Citation
Dino Lovrić, Vedran Boras, and Slavko Vujević, "Accuracy of Approximate Formulas for Internal Impedance of Tubular Cylindrical Conductors for Large Parameters," Progress In Electromagnetics Research M, Vol. 16, 171-184, 2011.
doi:10.2528/PIERM10121503
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