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Corona Loss Transmission Line Calculator (Peek Formula)

Corona discharge occurs when the localized electric field gradient around high-voltage conductors exceeds the dielectric breakdown strength of surrounding air.

Operating line-to-line RMS voltage.

AC power frequency.

Outer radius of conductor.

Center-to-center distance between conductors.

Air density correction factor (typically 0.9 to 1.05 based on altitude and temperature).

Surface roughness factor (0.85 to 0.95 for stranded conductors).

Total transmission line length.

Calculated Result
1.23 kW

Total Line Corona Loss

Result Summary

Corona Status: ACTIVE. Critical disruptive voltage Vd = 126.42 kV/phase. Total 3-phase loss: 1.23 kW (0.012 kW/km).

Calculation Breakdown

  1. Step 1: Critical Disruptive VoltageVd = 21.2·m₀·r·δ·ln(D/r) = 126.42 kV rms (Phase voltage = 127.02 kV)
  2. Step 2: Peek Corona Power Loss FormulaP = (242.2/δ)·(f+25)·√(r/D)·(V - Vd)²·10⁻⁵ = 0.0041 kW/km/phase
  3. Step 3: Total Transmission Line DissipationP_total = 3 · P · Length = 1.23 kW

What Is the Corona Loss Transmission Line Calculator (Peek Formula)?

Corona loss is the active electrical power dissipation resulting from air ionization around high-voltage conductors.

How Does the Corona Loss Transmission Line Calculator (Peek Formula) Work?

Determines critical disruptive voltage Vd.

If phase voltage V exceeds Vd, evaluates Peek formula for power loss per phase.

Sums loss over 3 phases and line length.

Corona Loss Transmission Line Calculator (Peek Formula) Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

P = (242.2/δ)·(f + 25)·√(r/D)·(V - Vd)²·10⁻⁵ kW/km/phase, Vd = 21.2·m₀·r·δ·ln(D/r)

Peek empirical equation for disruptive voltage and corona dielectric loss.

How to Use the Corona Loss Transmission Line Calculator (Peek Formula)

  1. Input operating voltage and frequency.
  2. Specify conductor dimensions and atmospheric air density.

Step-by-Step Example Calculation

220 kV Overhead Line in Fair Weather

Input Values:

operatingVoltage:220
frequency:50
conductorRadius:1.2
conductorSpacing:300
airDensityFactor:1
irregularityFactor:0.9
lineLength:100
Worked Steps: 220 kV line with 1.2 cm radius conductors spaced 3 meters apart.

Understanding Your Result

Primary output indicates total line corona loss in kW.

Summary reports critical disruptive voltage and activity status.

Factors That Affect the Result

  • Conductor radius (larger radius or bundled conductors increase Vd and suppress corona).
  • Weather (rain and fog increase corona loss by a factor of 10 or more).

When Should You Use This Calculator?

  • EHV/UHV transmission line design and conductor bundling decisions.

Assumptions & Limitations

  • Fair-weather Peek formula; wet weather requires empirical multipliers.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Peek (1929) classical equation.

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