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An Improved Statistical Method for Calculating Lightning Overvoltages in HVDC Overhead Line/Cable Systems

Independent Insulation Group Sweden AB, 771 30 Ludvika, Sweden
Engelbrecht Consulting B.V., 6715 KD Ede, The Netherlands
NKT HV Cables AB, 371 60 Lyckeby, Sweden
Engineering Sciences and Mathematics, Luleå University of Technology, 931 87 Skellefteå, Sweden
Author to whom correspondence should be addressed.
Energies 2019, 12(16), 3121;
Received: 31 July 2019 / Revised: 9 August 2019 / Accepted: 13 August 2019 / Published: 14 August 2019
(This article belongs to the Special Issue Overvoltage Protection of Electrical Networks)
PDF [5298 KB, uploaded 14 August 2019]


HVDC cable systems connected to HVDC overhead lines are subject to fast front overvoltages emanating from the line when lightning strikes a shield wire (backflashover) or a pole conductor (shielding failure). Representative fast front overvoltage levels for HVDC cable systems are usually established without considering their statistical characteristics. A statistical method to determine overvoltages related to the acceptable mean time between failure (MTBF) for the cable system was developed previously. The method accounts for the statistical distribution of lightning current magnitudes as well as the attenuation of the overvoltage wave due to corona discharges on the line, since this effect dominates for system voltages up to about ±320 kV. To make the method suitable for higher system voltages as well, this article introduces an improved statistical method which also accounts for surge attenuation through resistive effects, soil ionization, and statistical treatment of overvoltages due to shielding failures. To illustrate the improved method, it is applied to a case study for a ±525 kV DC line. View Full-Text
Keywords: HVDC; cable; overhead line; lightning; overvoltage; MTBF HVDC; cable; overhead line; lightning; overvoltage; MTBF

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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Lennerhag, O.; Lundquist, J.; Engelbrecht, C.; Karmokar, T.; Bollen, M.H.J. An Improved Statistical Method for Calculating Lightning Overvoltages in HVDC Overhead Line/Cable Systems. Energies 2019, 12, 3121.

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