{"id":1239,"date":"2026-07-22T05:33:04","date_gmt":"2026-07-22T05:33:04","guid":{"rendered":"https:\/\/lstransformer.com\/how-to-prevent-transformer-sudden-short-circuit-failure-analyzing-short-circuit-resistance-verification-and-structural-reinforcement-solutions\/"},"modified":"2026-09-27T08:07:34","modified_gmt":"2026-09-27T08:07:34","slug":"how-to-prevent-transformer-sudden-short-circuit-failure-analyzing-short-circuit-resistance-verification-and-structural-reinforcement-solutions","status":"publish","type":"post","link":"https:\/\/www.lstransformer.com\/fr\/how-to-prevent-transformer-sudden-short-circuit-failure-analyzing-short-circuit-resistance-verification-and-structural-reinforcement-solutions\/","title":{"rendered":"How to prevent Transformer Sudden Short-Circuit Failure?  \u2014Analyzing Short-Circuit Resistance Verification and Structural Reinforcement Solutions"},"content":{"rendered":"<h1 style=\"text-align: left;\">How to prevent Transformer Sudden Short-Circuit Failure?<b><\/b><\/h1>\n<h4 style=\"text-align: left;\">\u2014Analyzing Short-Circuit Resistance Verification and Structural Reinforcement Solutions<b><\/b><\/h4>\n<p>In power grid systems and industrial distribution, &#8220;transformer sudden short-circuit leading to winding deformation and insulation breakdown&#8221; has become a global challenge for electrical equipment reliability. According toIEEE C57.12.00\u00a0statistics, short-circuit current impacts can subject windings to electromagnetic forces exceeding 100 kN, causing 40% of transformers to fail after their first short-circuit event. This article systematically explains short-circuit resistance verification processes and structural reinforcement technologies based on international standards likeIEC 60076-5\u00a0and\u00a0IEEE C57.12.90, supported by cross-regional engineering validation data.<\/p>\n<h2><b><span style=\"font-family: Arial;\">Contenu<\/span><\/b><\/h2>\n<h3><em>1. Destruction Mechanism and Risk Quantification of Short-Circuit Current<\/em><b><\/b><\/h3>\n<h4 style=\"padding-left: 40px;\"><strong>1.1 <\/strong><strong>Electromagnetic Force Impact of Short-Circuit Current<\/strong><\/h4>\n<h5 style=\"padding-left: 80px;\"><strong>1.1.1 Short-Circuit Current Calculation and Electromagnetic<\/strong><\/h5>\n<p style=\"padding-left: 80px;\">Force Generation When a short-circuit occurs on the transformer\u2019s secondary side, the primary current surges to 10\u201325 times its rated value, determined by the transformer\u2019s impedance voltage percentage (%).<\/p>\n<h6 style=\"padding-left: 120px;\"><strong>(1) Formula:<\/strong><\/h6>\n<p><img decoding=\"async\" class=\"aligncenter\" title=\"wps7\" src=\"https:\/\/manage.lstransformer.com\/upload\/news\/1758944775774176.png\" alt=\"wps7\" \/><\/p>\n<h6 style=\"padding-left: 120px;\"><strong>(2) Variable Definitions:<\/strong><\/h6>\n<p style=\"padding-left: 120px;\"><img decoding=\"async\" title=\"wps8\" src=\"https:\/\/manage.lstransformer.com\/upload\/news\/1758944785921596.png\" alt=\"wps8\" \/>: System rated voltage<\/p>\n<p style=\"padding-left: 120px;\"><img decoding=\"async\" title=\"wps9\" src=\"https:\/\/manage.lstransformer.com\/upload\/news\/1758944796793458.png\" alt=\"wps9\" \/>: Impedance voltage percentage (typical range: 4%\u201312%)<\/p>\n<p style=\"padding-left: 120px;\"><img decoding=\"async\" title=\"wps10\" src=\"https:\/\/manage.lstransformer.com\/upload\/news\/1758944804716656.png\" alt=\"wps10\" \/>: Transformer rated current<\/p>\n<h6 style=\"padding-left: 120px;\"><strong>(3) Example:\u00a0A 1000 kVA transformer with\u00a0Z%=6% and Irated\u00a0=\u00a01443A has a short-circuit current of:<\/strong><\/h6>\n<p><img decoding=\"async\" class=\"aligncenter\" title=\"wps11\" src=\"https:\/\/manage.lstransformer.com\/upload\/news\/1758944819136060.png\" alt=\"wps11\" \/><\/p>\n<p><a title=\"Transformateur, de Gros Transformateurs de Fournitures et de Fabricants,Sp\u00e9cialis\u00e9e dans les Transformateurs de 50 ans\" href=\"https:\/\/www.lstransformer.com\/fr\/Dry-power-transformerthree-phase\/\" target=\"_blank\" rel=\"noopener\"><img fetchpriority=\"high\" decoding=\"async\" class=\"aligncenter\" title=\"4\" src=\"https:\/\/manage.lstransformer.com\/upload\/news\/1750727423273888.png\" alt=\"4\" width=\"400\" height=\"345\" border=\"0\" vspace=\"0\" \/><\/a><\/p>\n<h5 style=\"padding-left: 80px;\"><strong>1.1.2 Direct Mechanical Damage from Electromagnetic<\/strong><\/h5>\n<p style=\"padding-left: 80px;\">Forces Per the Lorentz force formula, electromagnetic forces between adjacent winding conductors are:<\/p>\n<p><img decoding=\"async\" class=\"aligncenter\" title=\"wps12\" src=\"https:\/\/manage.lstransformer.com\/upload\/news\/1758945116154642.png\" alt=\"wps12\" \/><\/p>\n<h6 style=\"padding-left: 120px;\"><strong>(1) Variable Definitions:<\/strong><\/h6>\n<p style=\"padding-left: 120px;\"><img decoding=\"async\" title=\"wps13\" src=\"https:\/\/manage.lstransformer.com\/upload\/news\/1758945129245957.png\" alt=\"wps13\" \/>: Leakage flux density (0.5\u20131.2 T, determined by winding spacing and current)<\/p>\n<p style=\"padding-left: 120px;\"><img decoding=\"async\" title=\"wps14\" src=\"https:\/\/manage.lstransformer.com\/upload\/news\/1758945138163116.png\" alt=\"wps14\" \/>:Short-circuit current<\/p>\n<p style=\"padding-left: 120px;\"><img decoding=\"async\" title=\"wps15\" src=\"https:\/\/manage.lstransformer.com\/upload\/news\/1758945149324650.png\" alt=\"wps15\" \/>: Conductor effective length<\/p>\n<h6 style=\"padding-left: 120px;\"><strong>(2) Example:If B=0.8T and L=2m, the force is: F=0.8\u00d724,050\u00d72=38,480N(\u224838.5kN)<\/strong><\/h6>\n<h6 style=\"padding-left: 120px;\"><strong>(3) Failure Modes:<\/strong><\/h6>\n<p style=\"padding-left: 120px;\">Axial Compression:\u00a0High-voltage windings experience inward pressure, leading to inter-turn insulation crushing.<\/p>\n<p style=\"padding-left: 120px;\">Radial Expansion:\u00a0Low-voltage windings expand outward, causing support strut fractures and eventual collapse.<\/p>\n<h4 style=\"padding-left: 40px;\"><strong>1.2 <\/strong><strong>Thermal Effects and Insulation Degradation<\/strong><i><\/i><\/h4>\n<h5 style=\"padding-left: 80px;\"><b>1.2.1 Joule Heating Mechanism:<\/b><b><\/b><\/h5>\n<p style=\"padding-left: 80px;\">Short-circuit current generates heat via winding resistance:<\/p>\n<p><img decoding=\"async\" class=\"aligncenter\" title=\"wps10\" src=\"https:\/\/manage.lstransformer.com\/upload\/news\/1750727113568776.jpg\" alt=\"wps10\" \/><\/p>\n<p>&nbsp;<\/p>\n<h6 style=\"padding-left: 120px;\"><strong>(1) Variable Definitions:<\/strong><i><\/i><\/h6>\n<p style=\"padding-left: 120px;\"><b>R<\/b>: Winding resistance (\u03a9)<\/p>\n<p style=\"padding-left: 120px;\"><b>t<\/b>: Short-circuit duration (typically \u22642 seconds)<\/p>\n<p style=\"padding-left: 120px;\"><b>c<\/b>: Specific heat capacity (copper: 385 J\/kg\u00b7K)<\/p>\n<p style=\"padding-left: 120px;\"><b>m<\/b>: Conductor mass<\/p>\n<h6 style=\"padding-left: 120px;\"><strong>(2) Example:\u00a0For a 50 kg copper conductor with\u00a0AIsc\u00a0=24kA\u00a0and t=1s:<\/strong><\/h6>\n<p><img decoding=\"async\" class=\"aligncenter\" title=\"wps11\" src=\"https:\/\/manage.lstransformer.com\/upload\/news\/1750727124251918.jpg\" alt=\"wps11\" \/><\/p>\n<h5 style=\"padding-left: 80px;\"><strong>1.2.2 <\/strong><strong>Insulation Failure Process:<\/strong><b><\/b><\/h5>\n<h6 style=\"padding-left: 120px;\"><strong>(1) Thermal Decomposition:\u00a0Epoxy resin carbonizes when temperatures exceed 105\u00b0C (Class A insulation limit).<\/strong><\/h6>\n<h6 style=\"padding-left: 120px;\"><strong>(2) Dielectric Strength Reduction:\u00a0Insulation paper breakdown voltage drops 5%\u20138% per 10\u00b0C rise (IEC 60076-5).<\/strong><\/h6>\n<h6 style=\"padding-left: 120px;\"><strong>(3) Inter-Turn Short Circuits:\u00a0Partial discharge inception voltage falls from 15 kV to below 6 kV, causing permanent damage.<\/strong><\/h6>\n<h3><em>2.International Standards for Short-Circuit Resistance Verification<\/em><b><\/b><\/h3>\n<h4 style=\"padding-left: 40px;\"><strong>2.1 IEC 60076-5:Dynamic Stability Testing Core standard for transformers \u226435 kV.<\/strong><\/h4>\n<h5 style=\"padding-left: 80px;\"><strong>2.1.1 <\/strong><strong>Test Procedure:<\/strong><i><\/i><\/h5>\n<h6 style=\"padding-left: 120px;\"><strong>(1) Pre-short-circuit state:Apply rated current; monitor temperature and\u00a0 \u00a0vibration.<\/strong><\/h6>\n<h6 style=\"padding-left: 120px;\"><strong>(2) Short-circuit impulse:Apply symmetrical current at 75% tap position for 0.25 seconds.<\/strong><\/h6>\n<h6 style=\"padding-left: 120px;\"><strong>(3) Repeat three times to assess cumulative damage.<\/strong><\/h6>\n<h5 style=\"padding-left: 80px;\"><strong>2.1.2 <\/strong><strong>Pass Criteria:<\/strong><i><\/i><\/h5>\n<h6 style=\"padding-left: 120px;\"><strong>(1) Reactance change \u22642%<\/strong><\/h6>\n<h6 style=\"padding-left: 120px;\"><strong>(2) Winding deformation \u22641.5 mm (measured via laser displacement sensors).<\/strong><\/h6>\n<h4 style=\"padding-left: 40px;\"><strong>2.2<\/strong><strong>\u00a0IEEE C57.12.90:Mechanical Strength Validation Key standard for large-capacity transformers in North America.<\/strong><\/h4>\n<h5 style=\"padding-left: 80px;\"><strong>2.2.1 <\/strong><strong>Requirements:<\/strong><i><\/i><\/h5>\n<table width=\"612\" cellspacing=\"0\">\n<tbody>\n<tr>\n<td valign=\"center\" nowrap=\"nowrap\" width=\"171\"><b>Capacity (kVA)<\/b><b><\/b><\/td>\n<td valign=\"center\" nowrap=\"nowrap\" width=\"209\"><b>Short-Circuit Cycles<\/b><b><\/b><\/td>\n<td valign=\"center\" nowrap=\"nowrap\" width=\"232\"><b>Axial Force Limit (kN)<\/b><b><\/b><\/td>\n<\/tr>\n<tr>\n<td valign=\"center\" width=\"171\">\u22642500<\/td>\n<td valign=\"center\" width=\"209\">3<\/td>\n<td valign=\"center\" width=\"232\">80<\/td>\n<\/tr>\n<tr>\n<td valign=\"center\" width=\"171\">2501\u201310,000<\/td>\n<td valign=\"center\" width=\"209\">2<\/td>\n<td valign=\"center\" width=\"232\">150<\/td>\n<\/tr>\n<tr>\n<td valign=\"center\" width=\"171\">&gt;10,000<\/td>\n<td valign=\"center\" width=\"209\">1<\/td>\n<td valign=\"center\" width=\"232\">300<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h5 style=\"padding-left: 80px;\"><strong>2.2.2 <\/strong><strong>Test Methods:<\/strong><i><\/i><\/h5>\n<h6 style=\"padding-left: 120px;\"><strong>(1) Static pressure simulation using hydraulic cylinders (60-second hold).<\/strong><\/h6>\n<h6 style=\"padding-left: 120px;\"><strong>(2) Vibration frequency sweep (10\u20132000 Hz); natural frequency shift \u22645%.<\/strong><\/h6>\n<h3><em>3. Structural Reinforcement Solutions for Enhanced Short-Circuit Resistance<\/em><b><\/b><\/h3>\n<h4 style=\"padding-left: 40px;\"><strong>3.1 <\/strong><strong>Optimized Winding Support Systems<\/strong><i><\/i><\/h4>\n<h5 style=\"padding-left: 80px;\"><strong>3.1.1 <\/strong><strong>Reinforcement Techniques:<\/strong><i><\/i><\/h5>\n<h6 style=\"padding-left: 120px;\"><strong>(1) <\/strong><strong>Epoxy-Resin Impregnated Struts:<\/strong><\/h6>\n<p style=\"padding-left: 120px;\">Glass-fiber-reinforced epoxy (bending strength \u2265350 MPa, 4\u00d7 stronger than wood) reduces radial deformation from 3.2 mm to 0.8 mm.<\/p>\n<p><a href=\"https:\/\/www.lstransformer.com\/fr\/Single-phase-transformer\/\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-2996\" src=\"https:\/\/lstransformer.com\/wp-content\/uploads\/2026\/07\/17507275006341441.png\" alt=\"\" width=\"472\" height=\"453\" srcset=\"https:\/\/www.lstransformer.com\/wp-content\/uploads\/2026\/07\/17507275006341441.png 472w, https:\/\/www.lstransformer.com\/wp-content\/uploads\/2026\/07\/17507275006341441-300x288.png 300w\" sizes=\"(max-width: 472px) 100vw, 472px\" \/><\/a><\/p>\n<h6 style=\"padding-left: 120px;\"><b>(2) <\/b><b>Axial Compression Systems:\u00a0<\/b><b><\/b><\/h6>\n<p style=\"padding-left: 120px;\">Disk spring assemblies (preload \u226550 kN) mitigate\u00a0\u00a0axial compression, increasing withstand cycles from 1 to 3 (per IEC 60076-5).<\/p>\n<h5 style=\"padding-left: 80px;\"><strong>3.1.2 <\/strong><strong>Performance Comparison:<\/strong><i><\/i><\/h5>\n<table cellspacing=\"0\">\n<tbody>\n<tr>\n<td valign=\"center\" nowrap=\"nowrap\" width=\"210\"><b>Param\u00e8tre<\/b><b><\/b><\/td>\n<td valign=\"center\" nowrap=\"nowrap\" width=\"141\"><b>Traditional<\/b><b><\/b><\/td>\n<td valign=\"center\" nowrap=\"nowrap\" width=\"153\"><b>Reinforced<\/b><b><\/b><\/td>\n<\/tr>\n<tr>\n<td valign=\"center\" width=\"210\"><b>Axial Deformation (mm)<\/b><b><\/b><\/td>\n<td valign=\"center\" width=\"141\">3.2<\/td>\n<td valign=\"center\" width=\"153\">0.8<\/td>\n<\/tr>\n<tr>\n<td valign=\"center\" width=\"210\"><b>Short-Circuit Cycles<\/b><b><\/b><\/td>\n<td valign=\"center\" width=\"141\">1<\/td>\n<td valign=\"center\" width=\"153\">3<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h4 style=\"padding-left: 40px;\"><strong>3.2<\/strong><strong>\u00a0Core and Clamping Structure Enhancements<\/strong><i><\/i><\/h4>\n<h5 style=\"padding-left: 80px;\"><strong>3.2.1 <\/strong><strong>Reinforcement Techniques:<\/strong><i><\/i><\/h5>\n<h6 style=\"padding-left: 120px;\"><strong>(1) Low-Hysteresis Silicon Steel:\u00a023ZDKH90 steel reduces core vibration energy transfer by 40%, avoiding resonance (ISO 10816-3 compliant).<\/strong><\/h6>\n<h6 style=\"padding-left: 120px;\"><strong>(2) Multi-Layer Welded Clamps:\u00a0Q345B steel (yield strength 345 MPa, 47% higher than Q235) absorbs 300 kN axial forces (meets IEEE C57.12.90).<\/strong><\/h6>\n<h5 style=\"padding-left: 80px;\"><strong>3.2.2 <\/strong><strong>Mechanical Properties:<\/strong><i><\/i><\/h5>\n<table cellspacing=\"0\">\n<tbody>\n<tr>\n<td valign=\"center\" nowrap=\"nowrap\"><b>Material<\/b><b><\/b><\/td>\n<td valign=\"center\" nowrap=\"nowrap\"><b>Yield Strength (MPa)<\/b><b><\/b><\/td>\n<td valign=\"center\" nowrap=\"nowrap\"><b>Damping Ratio (\u03be)<\/b><b><\/b><\/td>\n<\/tr>\n<tr>\n<td valign=\"center\">Q235 Steel<\/td>\n<td valign=\"center\">235<\/td>\n<td valign=\"center\">0.02<\/td>\n<\/tr>\n<tr>\n<td valign=\"center\">Q345B Steel<\/td>\n<td valign=\"center\">345<\/td>\n<td valign=\"center\">0.05<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2><b><span style=\"font-family: Arial;\">En R\u00e9sum\u00e9<\/span><\/b><\/h2>\n<p>Conclusion Modern transformers reinforced viaIEC 60076-5\u00a0andIEEE C57.12.90\u00a0standards can withstand\u00a0\u226550 kA short-circuit currents (IEC Level 4). Global cases show a 70% reduction in annual failure rates (ABB 2023 Whitepaper). For customized solutions, contact our technical team for simulation, testing, and validation services.<\/p>\n<h2 style=\"font-weight: bold;\">Contact<\/h2>\n<p>LuShan, heure de l'est. 1975, est un fabricant professionnel Chinois sp\u00e9cialis\u00e9 dans les transformateurs de puissance et des r\u00e9acteurs de plus de 50 ans. Les produits de pointe sont <a href=\"https:\/\/www.lstransformer.com\/fr\/\">transformateur monophas\u00e9, triphas\u00e9 transformateurs d'isolement, transformateur \u00e9lectrique, transformateur de distribution, l'\u00e9tape vers le bas et d'intensifier le transformateur de basse tension du transformateur, transformateur \u00e0 haute tension, contr\u00f4le de transformateur toro\u00efdal transformateur, transformateur R-core; inductances DC, AC r\u00e9acteurs, le filtrage du r\u00e9acteur, de ligne et de charge du r\u00e9acteur, des bobines, le filtrage du r\u00e9acteur, et interm\u00e9diaire, \u00e0 haute fr\u00e9quence produits<\/a>.<\/p>\n<p>Nos transformateurs de puissance et les r\u00e9acteurs sont largement utilis\u00e9s dans les 10 domaines d'application: transport en commun rapide, les machines de construction, les \u00e9nergies renouvelables, intelligents de fabrication, des \u00e9quipements m\u00e9dicaux, de la mine de charbon de l'explosion de la pr\u00e9vention, de l'excitation du syst\u00e8me, frittage sous vide(four), d'une climatisation centrale.<\/p>\n<p>En savoir plus sur transformateur de puissance et le r\u00e9acteur: <a href=\"https:\/\/www.lstransformer.com\/fr\/\">www.lstransformer.com<\/a>.<\/p>\n<p>Si vous souhaitez obtenir des solutions personnalis\u00e9es pour les transformateurs ou des r\u00e9acteurs, veuillez nous contacter.<br \/>\nWhatsApp\uff1a+86 13787095096<br \/>\nE-mail: marketing@hnlsdz.com<\/p>","protected":false},"excerpt":{"rendered":"<p>How to prevent Transformer Sudden Short-Circuit Failure? \u2014Analyzing Short-Circuit Resistance Verification and Structural Reinforcement Solutions In power grid systems and industrial distribution, &#8220;transformer sudden short-circuit leading to winding deformation and insulation breakdown&#8221; has become a global challenge for electrical equipment reliability. According toIEEE C57.12.00\u00a0statistics, short-circuit current impacts can subject windings to electromagnetic forces exceeding 100 [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":2998,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"set","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[48],"tags":[],"class_list":["post-1239","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-faq"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>How to prevent Transformer Sudden Short-Circuit Failure? \u2014Analyzing Short-Circuit Resistance Verification and Structural Reinforcement Solutions - LS power transformer, Line reactor, High-voltage transformer, Oil-immersed transformer-CHANGSHA LUSHAN ELECTRONIC TECHNOLOGY CO.,LTD<\/title>\n<meta name=\"description\" content=\"In power grid systems and industrial distribution, &quot;transformer sudden short-circuit leading to winding deformation and insulation breakdown&quot; has become a global challenge for electrical equipment reliability. According toIEEE C57.12.00\u00a0statistics, short-circuit current impacts can subject windings to electromagnetic forces exceeding 100 kN, causing 40% of transformers to fail after their first short-circuit event. 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