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Corona Discharge & Disruptive Critical Voltage Calculator

Corona discharge occurs when electric field intensity around high-voltage conductors ionizes ambient air, causing audible hissing, ozone generation, and power loss.

Nominal 3-phase line-to-line operating voltage.

Overall outer radius of stranded phase conductor.

Center-to-center geometric distance between phases.

Correction factor for ambient atmospheric temperature and barometric pressure.

Calculated Result
2.15 kW/km

Corona Power Loss

Disruptive Critical Voltage

261.7 kV

Visual Corona Voltage

326.4 kV

Corona Active?

Yes (Hissing/Losses)

Calculation Breakdown

  1. Critical Disruptive Voltage (V_d, line-line)√3 · [21.2·m0·δ·r·ln(D/r)] = 261.7 kV
  2. Visual Corona Inception Voltage (V_v)√3 · V_v,phase = 326.4 kV
  3. Fair-Weather Corona Power LossPeek loss = 2.15 kW/km

What Is the Corona Discharge & Disruptive Critical Voltage Calculator?

Corona is partial electrical breakdown of air surrounding energized conductors when the local surface gradient exceeds dielectric breakdown strength (~30 kV/cm peak).

How Does the Corona Discharge & Disruptive Critical Voltage Calculator Work?

Calculates dielectric surface gradient as a function of conductor radius and spacing; if operating phase voltage exceeds Vd, ions dissipate energy as Peek loss.

Corona Discharge & Disruptive Critical Voltage Calculator Formula & Variables

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

V_d = 21.2 m_0 delta r lnleft( rac{D}{r} ight) quad [ ext{kV/phase}], quad P = rac{242.2}{delta}(f + 25)sqrt{ rac{r}{D}}(V - V_d)^2 imes 10^{-5}

Peek empirical equations for critical disruptive voltage and corona power loss in high-voltage transmission lines.

How to Use the Corona Discharge & Disruptive Critical Voltage Calculator

  1. Input nominal line-to-line voltage in kV, conductor radius in cm, inter-phase spacing in cm, and relative air density factor.

Step-by-Step Example Calculation

275 kV Overhead Transmission Line

Input Values:

operatingVoltageKv:275
conductorRadiusCm:1.5
spacingCm:450
airDensityDelta:0.98
Worked Steps: Disruptive critical voltage Vd = 259.4 kV (line-to-line), Corona active with 1.84 kW/km power loss.

Understanding Your Result

Displays disruptive critical voltage Vd, visual corona voltage Vv, and total 3-phase corona power loss in kW/km.

Factors That Affect the Result

  • Wet weather, rain, and surface stranding irregularities drastically depress critical voltage, multiplying corona losses by 10x to 50x.

When Should You Use This Calculator?

  • EHV and UHV transmission line design (bundling sub-conductors), radio interference mitigation, and line loss assessment.

Assumptions & Limitations

  • Applies to symmetrical 3-phase overhead configurations under fair-weather conditions.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Standard classical Peek empirical high-voltage formulation.

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