Skin and proximity effects in the series-impedance of three-phase underground cables

Brito, Ana; Machado, V. Maló; Almeida, M.E.; Neves, M. Guerreiro das

doi:10.1016/j.epsr.2015.08.027

Cited by 17 publications

(13 citation statements)

References 11 publications

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“…It is also visible the current density at the wire center is not affected by the successive reactions-it remains the same as for the skin effect. Indeed, by analyzing Equations (16) and (17), it follows that all the successive corrections take a value of zero at the wire center.…”

Section: The Proximity Effectmentioning

confidence: 99%

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Analytical–Numerical Solution for the Skin and Proximity Effects in Two Parallel Round Conductors

et al. 2019

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This paper describes an analytical-numerical method for the skin and proximity effects in a system of two parallel conductors of circular cross section—a system very frequently encountered in various applications. The magnetic field generated by the current applied on each conductor is expressed by means of vector magnetic potential and expanded into Fourier series. Using the Laplace and Helmholtz equations, as well as the classical boundary conditions, the current density induced due to the proximity and skin effect is determined in each conductor. The resulting current density is expressed as a series of successive reactions. The results obtained are compared with those obtained via finite elements. Although the paper is theoretical, the considered problem has a practical significance, because transmission lines with round conductors are universally used. Besides, the results can be used to estimate errors when only the first reaction is taken into account, which gives relatively simple formulas.

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Section: The Proximity Effectmentioning

confidence: 99%

“…Using approximate analytical expressions-e.g., various approximate formulas for alternating current resistance can be found in [11][12][13] and approximations for inductances are given in [14]; integral equation with current density approximated with finite power series was proposed in [15,16]; multipole expansion with finite number of terms was used in [17].…”

mentioning

confidence: 99%

Analytical–Numerical Solution for the Skin and Proximity Effects in Two Parallel Round Conductors

et al. 2019

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“…A frequency-dependent current density is observed through the cross sections of the sector-shaped conductors because of the skin and proximity effects (Brito et al 2016;Ametani et al 2015). Thus, a more detailed meshing is required closer to the cross-section borders of the sectorshaped conductors, as described in Fig.…”

Section: Parameter Calculation Of Sector-shaped Cables Using Femmentioning

confidence: 99%

“…The self and mutual inductances are calculated from 10 Hz up to 1 MHz that represents an adequate frequency range for analysis of electromagnetic transients in power cables (Kariyawasam et al 2011;Chien and Bucknall 2006;Ametani et al 1980). Figure 3a shows a major current density at the borders of the sector-shaped conductor because of the skin and proximity effects in power cables (Brito et al 2016;Gudmundsdottir 2014).…”

Section: Parameter Calculation Of Sector-shaped Cables Using Femmentioning

confidence: 99%

“…An increasing effort is also observed in the development of new technologies applied for AC and DC power transmission using underground coaxial cables and non-conventional sector-shaped cables. Modeling techniques and alternative methods for parameter calculation of power cables have been continuously included in the technical literature (Brito et al 2016;Bonyadi-ram et al 2012;Gudmundsdottir 2014). Non-conventional conductor shapes are designed in order to compact even more the cross section of power cables and also improving the power transmission capacity.…”

Section: Introductionmentioning

confidence: 99%

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Modeling of Power Cables with Arbitrary Cross Section: From Parameter Calculation to Electromagnetic Transients Simulation

Hafner

Caballero

Monteiro

et al. 2017

J Control Autom Electr Syst

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A full computer-based methodology is proposed for electromagnetic transient simulations in power cables characterized by an arbitrary cross-section geometry. The frequency-dependent parameters of the cables are calculated using finite element method, and the three-phase cable modeling is carried out using modal decoupling and fitting techniques. The multiconductor representation of a sectorshaped cable is possible from the calculation of a constant and real modal transformation matrix, resulting four independent propagation modes (three phases and cable shield), which are modeled from the inclusion of frequency effect in the classic Bergeron method. The currents and voltages are expressed as a system of differential equations, which are presented as state equations and solved using numerical inte

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Comments on ‘Current density in two parallel cylindrical conductors and their inductance’

Faria

2017

Electr Eng

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Skin and proximity effects in the series-impedance of three-phase underground cables

Cited by 17 publications

References 11 publications

Analytical–Numerical Solution for the Skin and Proximity Effects in Two Parallel Round Conductors

Analytical–Numerical Solution for the Skin and Proximity Effects in Two Parallel Round Conductors

Modeling of Power Cables with Arbitrary Cross Section: From Parameter Calculation to Electromagnetic Transients Simulation

Comments on ‘Current density in two parallel cylindrical conductors and their inductance’

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