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Calculation of positive-sequence and zero-sequence impedances of three-phase submarine cables

Calculation of positive-sequence and zero-sequence impedances of three-phase submarine cables
Calculation of positive-sequence and zero-sequence impedances of three-phase submarine cables
This paper describes semi-analytical calculation methods for the positive-sequence and zero-sequence impedances of 3-phase armored cables with solid sheaths and a single armor layer. Separate equivalent circuits are defined for these two impedances. Subsequently, circuit component values are calculated based on 2D field equations, with some 3D effects modeled. The existing approach for calculating zero-sequence impedance is corrected and expanded by inclusion of additional inductances due to solenoidal fields and magnetic armor effects. 3D finite-element models of cables with magnetic and non magnetic armor are used to assess the accuracy of our circuit models; discrepancies are less than 3% at frequencies between 50 Hz and 5 kHz. Python code with the implementation of the method is provided for accessibility.
Armored Cables, Sequence Impedance Calculation
0885-8977
Goddard, K.F.
fe2a2194-8b55-43c1-bdca-341691b71b2d
Rzempoluch, J.
84589606-910d-4e74-9025-25c09e66e6ab
Chaudhary, S.
25f0d213-03ef-4909-8cfc-29a8498aa28f
Callender, G.
4189d79e-34c3-422c-a601-95b156c27e76
Lewin, P.
78b4fc49-1cb3-4db9-ba90-3ae70c0f639e
Goddard, K.F.
fe2a2194-8b55-43c1-bdca-341691b71b2d
Rzempoluch, J.
84589606-910d-4e74-9025-25c09e66e6ab
Chaudhary, S.
25f0d213-03ef-4909-8cfc-29a8498aa28f
Callender, G.
4189d79e-34c3-422c-a601-95b156c27e76
Lewin, P.
78b4fc49-1cb3-4db9-ba90-3ae70c0f639e

Goddard, K.F., Rzempoluch, J., Chaudhary, S., Callender, G. and Lewin, P. (2026) Calculation of positive-sequence and zero-sequence impedances of three-phase submarine cables. IEEE Transactions on Power Delivery. (doi:10.1109/TPWRD.2026.3657673).

Record type: Article

Abstract

This paper describes semi-analytical calculation methods for the positive-sequence and zero-sequence impedances of 3-phase armored cables with solid sheaths and a single armor layer. Separate equivalent circuits are defined for these two impedances. Subsequently, circuit component values are calculated based on 2D field equations, with some 3D effects modeled. The existing approach for calculating zero-sequence impedance is corrected and expanded by inclusion of additional inductances due to solenoidal fields and magnetic armor effects. 3D finite-element models of cables with magnetic and non magnetic armor are used to assess the accuracy of our circuit models; discrepancies are less than 3% at frequencies between 50 Hz and 5 kHz. Python code with the implementation of the method is provided for accessibility.

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Sequence_Impedance_Paper_Review_1_Submission_Final_Formatting - Accepted Manuscript
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e-pub ahead of print date: 28 January 2026
Keywords: Armored Cables, Sequence Impedance Calculation

Identifiers

Local EPrints ID: 510062
URI: http://eprints.soton.ac.uk/id/eprint/510062
ISSN: 0885-8977
PURE UUID: 675953f4-6fc3-4b8b-8f97-7b9e6fc7544e
ORCID for J. Rzempoluch: ORCID iD orcid.org/0009-0003-4810-8627
ORCID for S. Chaudhary: ORCID iD orcid.org/0000-0003-2664-7083
ORCID for P. Lewin: ORCID iD orcid.org/0000-0002-3299-2556

Catalogue record

Date deposited: 16 Mar 2026 17:55
Last modified: 17 Mar 2026 03:09

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Contributors

Author: K.F. Goddard
Author: J. Rzempoluch ORCID iD
Author: S. Chaudhary ORCID iD
Author: G. Callender
Author: P. Lewin ORCID iD

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