Modelling and analysis of transformers considering ultra‐wide band frequency‐dependent parameters for high altitude electromagnetic pulse

Abstract Transformers are widely distributed and extremely important energy conversion equipment in the power system. However, the high altitude electromagnetic pulse (HEMP) can induce a steep pulse voltage with a peak value of up to thousands of kilovolts on the overhead line, and the frequency is...

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Main Authors: Han Wu, Nan Zhang, Jinhua Du, Junna Li, Shuai Dong, Zitao Lv
Format: Article
Language:English
Published: Wiley 2025-04-01
Series:High Voltage
Online Access:https://doi.org/10.1049/hve2.12517
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author Han Wu
Nan Zhang
Jinhua Du
Junna Li
Shuai Dong
Zitao Lv
author_facet Han Wu
Nan Zhang
Jinhua Du
Junna Li
Shuai Dong
Zitao Lv
author_sort Han Wu
collection DOAJ
description Abstract Transformers are widely distributed and extremely important energy conversion equipment in the power system. However, the high altitude electromagnetic pulse (HEMP) can induce a steep pulse voltage with a peak value of up to thousands of kilovolts on the overhead line, and the frequency is up to 100 MHz, which is easy to damage the transformer and seriously threaten the safe and stable operation of the power system. Therefore, to protect the safety of the power system, analysing the transformer wave process under the action of HEMP is necessary. Accordingly, there is a need for an ultra‐wide band model of the transformer. In this paper, the skin effect of winding is analysed, the dielectric response of oil‐paper is fitted with the double relaxation Cole–Cole model, and the frequency dependent models of distribution parameters are established. Fractional order terms are introduced into the traditional multi‐conductor transmission line (MTL) integer order model to describe the characteristics of these distribution parameters so that the frequency application range of the MTL model is extended to 100 MHz. The proposed MTL model is solved by the finite‐difference time‐domain algorithm and verified by the finite element method and experiment. The error is less than 5%, which verifies its accuracy and effectiveness.
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institution OA Journals
issn 2397-7264
language English
publishDate 2025-04-01
publisher Wiley
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series High Voltage
spelling doaj-art-d2e95462dc814e45b8199a3c94b176f22025-08-20T01:55:41ZengWileyHigh Voltage2397-72642025-04-0110237438410.1049/hve2.12517Modelling and analysis of transformers considering ultra‐wide band frequency‐dependent parameters for high altitude electromagnetic pulseHan Wu0Nan Zhang1Jinhua Du2Junna Li3Shuai Dong4Zitao Lv5The State Key Laboratory of Electrical Insulation and Power Equipment Xi'an Jiaotong University Xi'an ChinaYuncheng Power Supply Company of State Grid Shanxi Electric Power Company Yuncheng ChinaThe State Key Laboratory of Electrical Insulation and Power Equipment Xi'an Jiaotong University Xi'an ChinaThe State Key Laboratory of Electrical Insulation and Power Equipment Xi'an Jiaotong University Xi'an ChinaHuaneng Yimin Coal Electricity CO., LTD Hulun Buir ChinaHuaneng Yimin Coal Electricity CO., LTD Hulun Buir ChinaAbstract Transformers are widely distributed and extremely important energy conversion equipment in the power system. However, the high altitude electromagnetic pulse (HEMP) can induce a steep pulse voltage with a peak value of up to thousands of kilovolts on the overhead line, and the frequency is up to 100 MHz, which is easy to damage the transformer and seriously threaten the safe and stable operation of the power system. Therefore, to protect the safety of the power system, analysing the transformer wave process under the action of HEMP is necessary. Accordingly, there is a need for an ultra‐wide band model of the transformer. In this paper, the skin effect of winding is analysed, the dielectric response of oil‐paper is fitted with the double relaxation Cole–Cole model, and the frequency dependent models of distribution parameters are established. Fractional order terms are introduced into the traditional multi‐conductor transmission line (MTL) integer order model to describe the characteristics of these distribution parameters so that the frequency application range of the MTL model is extended to 100 MHz. The proposed MTL model is solved by the finite‐difference time‐domain algorithm and verified by the finite element method and experiment. The error is less than 5%, which verifies its accuracy and effectiveness.https://doi.org/10.1049/hve2.12517
spellingShingle Han Wu
Nan Zhang
Jinhua Du
Junna Li
Shuai Dong
Zitao Lv
Modelling and analysis of transformers considering ultra‐wide band frequency‐dependent parameters for high altitude electromagnetic pulse
High Voltage
title Modelling and analysis of transformers considering ultra‐wide band frequency‐dependent parameters for high altitude electromagnetic pulse
title_full Modelling and analysis of transformers considering ultra‐wide band frequency‐dependent parameters for high altitude electromagnetic pulse
title_fullStr Modelling and analysis of transformers considering ultra‐wide band frequency‐dependent parameters for high altitude electromagnetic pulse
title_full_unstemmed Modelling and analysis of transformers considering ultra‐wide band frequency‐dependent parameters for high altitude electromagnetic pulse
title_short Modelling and analysis of transformers considering ultra‐wide band frequency‐dependent parameters for high altitude electromagnetic pulse
title_sort modelling and analysis of transformers considering ultra wide band frequency dependent parameters for high altitude electromagnetic pulse
url https://doi.org/10.1049/hve2.12517
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AT nanzhang modellingandanalysisoftransformersconsideringultrawidebandfrequencydependentparametersforhighaltitudeelectromagneticpulse
AT jinhuadu modellingandanalysisoftransformersconsideringultrawidebandfrequencydependentparametersforhighaltitudeelectromagneticpulse
AT junnali modellingandanalysisoftransformersconsideringultrawidebandfrequencydependentparametersforhighaltitudeelectromagneticpulse
AT shuaidong modellingandanalysisoftransformersconsideringultrawidebandfrequencydependentparametersforhighaltitudeelectromagneticpulse
AT zitaolv modellingandanalysisoftransformersconsideringultrawidebandfrequencydependentparametersforhighaltitudeelectromagneticpulse