Accurate Evaluation of Indoor Triplex Cable Capacitances Taking Conductor Proximity Effects Into Account

Faria, José de Assis Fonseca; Neves, M. Guerreiro das

doi:10.1109/tpwrd.2005.860233

Cited by 13 publications

(5 citation statements)

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“…or, equivalently, The potential function V j at a generic point with coordinates (r jk , u jk ) situated outside the charge distribution w k is given by [7,8,11,12] …”

Section: Basics Of the Harmonic Expansion Methodsmentioning

confidence: 99%

“…Experience has shown [11,12] that even for very closely spaced conductors, high precision results (accuracy better than 1 ppm) can be achieved with less than N H ¼ 20 harmonics.…”

Section: Basics Of the Harmonic Expansion Methodsmentioning

confidence: 99%

“…Noting again that the M points where the potential is enforced are points outside the charge distributions we obtain for the entries of the square blocks ½A 0 jk the same results as in Equations (12), but substituting r 0 jk and u 0 jk for r jk and u jk , respectively; that is, we again use Equation (13), but replace y k by its reverse y 0 k ¼ Ày k . Matrix B in Equation (11) defines the influence of the dielectric/air boundary bound charges on the actual conductor potentials. For the computation of the off-diagonal blocks [B jk ] one can utilize the results obtained for [A jk ] in Equation (12) but substituting R 0 for r. The expressions in Equation (13) for r jk and u jk apply exactly as they are.…”

Section: Application Of the Harmonic Expansion Methodsmentioning

confidence: 99%

“…Noting again that the M points where the potential is enforced are points outside the charge distributions, we obtain from Equation (4) the entries of the square blocks ½B 0 jk ; these entries are evaluated in the same way ½A 0 jk was obtained, but substituting R 0 for r, and using r 0 jk and u 0 jk . At this point all the coefficient matrices of order NM in Equation (11) have been determined. But do not haste, the problem is only half solved.…”

Section: Application Of the Harmonic Expansion Methodsmentioning

confidence: 99%

“…The HEM is known for many years and has been applied successfully in many problems involving cylindrical conductors [7][8][9][10][11][12]. Although the technique is conceptually simple its implementation is quite cumbersome and easily prone to mistakes, given the many details and index manipulations involved (details that very often are omitted).…”

Section: Evaluation Of the Capacitance Matrixmentioning

confidence: 99%

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Evaluation of the constitutive parameters of a multiconductor transmission line model aimed at the representation of inductor windings at high frequencies

Faria

2007

Int Trans Elec Energy Syst

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This paper is the first part of a work dedicated to the analysis and computation of the electric and magnetic behavior of inductor windings (e.g., power transformer windings) operating at high-frequency regimes; a recognized key issue for very fast transient overvoltage studies. Here, the inductor winding, containing a total number of N turns, is modeled as a system of N-coupled parallel conductors resembling a uniform inhomogeneous multiconductor transmission-line structure (MTL) where proximity effects cannot be neglected. The characterization of the winding's equivalent MTL structure requires the specification and evaluation of its constitutive parameters, namely, the per-unit-length (PUL) capacitance and inductance matrices, and also the PUL resistance and conductance matrices, the latter two associated with losses. Close proximity between inductor turns together with the consideration of dielectric-coated turns prevents the utilization of closed-form expressions for the evaluation of most of the inductor constitutive parameters. Here we employ a harmonic expansion method (HEM) primarily aimed at the construction of the capacitance matrix from where the inductance and conductance matrices can be derived. A new theory based on Dubanton's approach but taking into account proximity effects related to eddy currents in the inductor core is also proposed and developed. This research paper provides, in a tutorial fashion, a comprehensive explanation of the details and approximations involved in the evaluation of the constitutive parameters of the MTL structure under analysis--an aspect that unfortunately is lightly tackled or even ill-treated in the literature of winding models.

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“…or, equivalently, The potential function V j at a generic point with coordinates (r jk , u jk ) situated outside the charge distribution w k is given by [7,8,11,12] …”

Section: Basics Of the Harmonic Expansion Methodsmentioning

confidence: 99%

“…Experience has shown [11,12] that even for very closely spaced conductors, high precision results (accuracy better than 1 ppm) can be achieved with less than N H ¼ 20 harmonics.…”

Section: Basics Of the Harmonic Expansion Methodsmentioning

confidence: 99%