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Admissible I2t Calculator for Cables – k2S2 for Copper and Aluminum Conductors

Description

Calculate the maximum admissible let-through energy (I2t = k2S2) for copper or aluminum cables based on IEC 60364 standards. Ensure your protective devices can clear faults before cables overheat.

How It Works

This tool computes the highest I²t (in A²·s or kA²·s) a cable can safely withstand during a short circuit, using the formula:

I²t max = k² × S²

Where:
S = conductor cross-sectional area (mm²)
k = material & insulation constant per IEC 60364-5-54

Input Parameters

  • Conductor Type: Phase, single-core PE, or multi-core PE
  • Wire Size: Cross-section in mm² (e.g., 2.5, 10, 95)
  • Material: Copper (Cu) or Aluminum (Al)
  • Insulation Type:
    • Thermoplastic (PVC)
    • Thermosetting (XLPE / EPR)
    • Mineral-insulated (bare or PVC-covered, various conditions)

Output Results

  • Admissible let-through energy (I²t) in kA²·s
  • Reference to IEC 60364-4-43 & IEC 60364-5-54
  • Guidance for comparing with protective device’s I²t rating

Frequently Asked Questions (FAQ)

What is admissible I2t for a cable?

It’s the maximum fault energy (I²t) a cable can absorb during a short circuit without damaging its insulation or conductor—calculated as k²S² per IEC standards.

How is the k factor determined?

The k value depends on conductor material (Cu/Al), insulation type, and initial/final temperatures. Standard values are defined in IEC 60364-5-54 Table 43A.

Why does insulation type affect I2t?

Different insulations tolerate different final temperatures during a fault (e.g., PVC: 160°C, XLPE: 250°C). Higher temperature limits → higher k → greater I²t capacity.

Can I use this for DC systems?

This calculator follows IEC AC standards. For DC, thermal withstand is similar, but verify protection coordination separately as DC arcs behave differently.

How do I check if my breaker is compatible?

Compare the cable’s admissible I²t (from this tool) with the breaker’s actual let-through I²t (from its datasheet). The breaker’s I²t must be lower than the cable’s value.

Applications

  • Cable Sizing Verification: Confirm selected cables meet thermal withstand requirements during short circuits.
  • Protection Coordination: Ensure fuses or circuit breakers operate fast enough to protect conductors.
  • Compliance with IEC 60364: Demonstrate adherence to international electrical installation standards.
  • Design Review: Validate existing installations during upgrades or safety audits.
  • Training & Education: Teach electrical safety principles using real-world I²t calculations.

Who Should Use This Tool?

  • Electrical design engineers
  • Project engineers in industrial & commercial buildings
  • Electrical inspectors and safety auditors
  • Contractors and installers working to IEC standards
  • Students of electrical engineering or power systems

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This tool calculates the maximum cable length that can be used without exceeding the allowable voltage drop and without degrading insulation, based on IEC and NEC standards. It supports DC, single-phase, two-phase, and three-phase systems, including parallel conductors and various temperature ratings. Input Parameters Current Type: Direct Current (DC), Single-phase AC, Two-phase, or Three-phase (3-wire/4-wire) Voltage (V): Enter phase-to-neutral voltage for single-phase, or phase-to-phase for polyphase Load Power (kW or VA): Rated power of the connected equipment Power Factor (cos φ): Ratio of active to apparent power, between 0 and 1 (default: 0.8) Wire Size (mm²): Cross-sectional area of the conductor Parallel Phase Conductors: Conductors with same size, length, and material can be used in parallel; total permissible current is sum of individual core ratings Voltage Drop (% or V): Maximum allowable voltage drop (e.g., 3% for lighting, 5% for motors) Conductor Material: Copper (Cu) or Aluminum (Al), affecting resistivity Cable Type: Unipolar: 1 conductor Bipolar: 2 conductors Tripolar: 3 conductors Quadrupolar: 4 conductors Pentapolar: 5 conductors Multipolar: 2 or more conductors Operating Temperature (°C): Based on insulation type: IEC/CEI: 70°C (PVC), 90°C (XLPE/EPR), 105°C (Mineral Insulation) NEC: 60°C (TW, UF), 75°C (RHW, THHN, etc.), 90°C (TBS, XHHW, etc.) Output Results Maximum allowable cable length (meters) Actual voltage drop (% and V) Conductor resistance (Ω/km) Total circuit resistance (Ω) Reference Standards: IEC 60364, NEC Article 215 Designed for electrical engineers and installers to plan wiring layouts and ensure acceptable voltage levels at the load end.
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