A Finite Element approach for calculating electrical parameters of umbilical cables

Gustavsen, Bjørn; Bruaset, Are Magnus; Bremnes, Jarle J.; Hassel, Arild

doi:10.1109/pes.2010.5590107

Cited by 10 publications

(23 citation statements)

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“…3.2 is first applied to each hole independently. An equivalent current (11) is introduced on the boundary of the hole, and related to the equivalent currents present inside that specific hole through (22). Then, one integral per hole is added to the right hand side of (26).…”

Section: Extension To Hollow Conductors and Multiple Holesmentioning

confidence: 99%

“…Impedance is evaluated at 31 frequency points logarithmically spaced between 1 Hz and 1 MHz. In MoM-SO, we set to 4 the order N p and N of the Fourier expansions (3), (4), (10), and (11). This value is sufficient to accurately describe proximity effects even when the SC cables are close to each other [25].…”

Section: Geometrical and Materials Propertiesmentioning

confidence: 99%

“…Additionally, Pollaczek's formula neglects proximity effects inside ground, and cannot account for the presence of a tunnel around the cable. The limitations of analytic formulas can be overcome using finite elements (FEM) [10,11,12,13] or conductor partitioning [14,15,16,17]. These approaches correctly capture skin, proximity and ground effects [18].…”

Section: Introductionmentioning

confidence: 99%

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MoM-SO: A Complete Method for Computing the Impedance of Cable Systems Including Skin, Proximity, and Ground Return Effects

Patel

Triverio

2015

IEEE Trans. Power Delivery

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The availability of accurate and broadband models for underground and submarine cable systems is of paramount importance for the correct prediction of electromagnetic transients in power grids. Recently, we proposed the MoM-SO method for extracting the series impedance of power cables while accounting for skin and proximity effect in the conductors. In this paper, we extend the method to include ground return effects and to handle cables placed inside a tunnel. Numerical tests show that the proposed method is more accurate than widely-used analytic formulas, and is much faster than existing proximity-aware approaches like finite elements. For a three-phase cable system in a tunnel, the proposed method requires only 0.3 seconds of CPU time per frequency point, against the 8.3 minutes taken by finite elements, for a speed up beyond 1000 X.

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Section: Extension To Hollow Conductors and Multiple Holesmentioning

confidence: 99%

Section: Geometrical and Materials Propertiesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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MoM-SO: A Complete Method for Computing the Impedance of Cable Systems Including Skin, Proximity, and Ground Return Effects

Patel

Triverio

2015

IEEE Trans. Power Delivery

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“…Unfortunately, such formulas neglect proximity effects, which are strong in cables because of the tight spacing between conductors. Numerical tools based on the finite-element method (FEM) [7,8,9,10] or conductor partitioning [11,12,13,14] capture proximity effects inside the cable. However, these techniques require a fine discretization of the cable cross section in order to accurately capture skin effect, which leads to a large number of unknowns and long computational time.…”

Section: Introductionmentioning

confidence: 99%

Accurate Impedance Calculation for Underground and Submarine Power Cables Using MoM-SO and a Multilayer Ground Model

Patel

Triverio

2016

IEEE Trans. Power Delivery

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An accurate knowledge of the per-unit length impedance of power cables is necessary to correctly predict electromagnetic transients in power systems. In particular, skin, proximity, and ground return effects must be properly estimated. In many applications, the medium that surrounds the cable is not uniform and can consist of multiple layers of different conductivity, such as dry and wet soil, water, or air. We introduce a multilayer ground model for the recently-proposed MoM-SO method, suitable to accurately predict ground return effects in such scenarios. The proposed technique precisely accounts for skin, proximity, ground and tunnel effects, and is applicable to a variety of cable configurations, including underground and submarine cables. Numerical results show that the proposed method is more accurate than analytic formulas typically employed for transient analyses, and delivers an accuracy comparable to the finite element method (FEM). With respect to FEM, however, MoM-SO is over 1000 times faster, and can calculate the impedance of a submarine cable inside a three-layer medium in 0.10 s per frequency point.

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“…/ denotes a differentiation with respect to the argument. Finally, let the regular and the outgoing (radiating) cylindrical vector waves v m .r,˛/ and u m .r,˛/ be defined as in (1) where C m . / is chosen as the regular Bessel functions J m .Ä / and the Hankel functions of the first kind H .1/ m .Ä /, respectively.…”

Section: Expansion Of the Electric Dyadic Green's Function In Cylindrmentioning

confidence: 99%

Cylindrical multipole expansion for periodic sources with applications for three‐phase power cables

Nordebo

Gustafsson

Ivanenko

et al. 2016

Math Methods in App Sciences

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This paper presents a cylindrical multipole expansion for periodic sources with applications for three‐phase power cables. It is the aim of the contribution to provide some analytical solutions and techniques that can be useful in the calculation of cable losses. Explicit analytical results are given for the fields generated by a three‐phase helical current distribution and which can be computed efficiently as an input to other numerical methods such as, for example, the Method of Moments. It is shown that the field computations are numerically stable at low frequencies (such as 50 Hz) as well as in the quasi‐magnetostatic limit provided that sources are divergence‐free. The cylindrical multipole expansion is furthermore used to derive an efficient analytical model of a measurement coil to measure and estimate the complex valued permeability of magnetic steel armour in the presence of a strong skin‐effect. Copyright © 2016 John Wiley & Sons, Ltd.

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A Finite Element approach for calculating electrical parameters of umbilical cables

Cited by 10 publications

References 0 publications

MoM-SO: A Complete Method for Computing the Impedance of Cable Systems Including Skin, Proximity, and Ground Return Effects

MoM-SO: A Complete Method for Computing the Impedance of Cable Systems Including Skin, Proximity, and Ground Return Effects

Accurate Impedance Calculation for Underground and Submarine Power Cables Using MoM-SO and a Multilayer Ground Model

Cylindrical multipole expansion for periodic sources with applications for three‐phase power cables

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