Calculator D4

Short-Circuit Withstand Rating: Calculating I²t Let-Through for Cable Protection Coordination

📘 Definition

Selection and sizing of conductors based on load, derating factors, voltage drop, and installation environment.

🎨 Concept Diagram

Load CurrentDerating FactorsVoltage DropCable SizingSelection & SizingBased on load, environment, and protection requirements

AI-generated illustration for visual understanding

⚠️ Common Mistakes

📖 Detailed Explanation

Content for: Short-Circuit Withstand Rating: Calculating I²t Let-Through for Cable Protection Coordination. Selection and sizing of conductors based on load, derating factors, voltage drop, and installation environment.

📋 Real Project Case

Industrial Plant Power Design: 250 MW Steel Mill Substation Upgrade

A 250 MW integrated steel mill in Gary, Indiana, required a complete substation upgrade to support new electric arc furnace (EAF) loads and expanded rolling mill operations. The project involved replacing aging 138 kV GIS switchgear and upgrading the 138/13.8 kV main step-down transformer, necessitating full re-engineering of medium-voltage (13.8 kV) feeder cables from the substation to six critical process buildings.

Challenge: Existing 13.8 kV copper cables were undersized and thermally overloaded during peak EAF cycling (dut...
Industrial Plant Power Design: 250 MW Steel Mill Substation Upgrade CHALLENGE • 13.8 kV Cu cables overloaded • T > 90°C (IEEE limit) • Ambient soil: 35°C • 4 circuits in trench (k=0.15) • No excavation permitted DESIGN APPROACH ✓ Soil ρ = 0.95 K·m/W ✓ SCADA RMS & peak load ✓ Transient EAF thermal model ✓ Cable options evaluated ✓ Harmonic derating (THD=8.2%) RESULT I_adj = 1024 A D_f = 0.87 I_allowed = 978 A n=4 circuits • k=0.15 • τ=1800 s t_on/t_cycle = 12/20 min • θ_max=90°C THD=8.2% → −0.34% derating
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