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Corona Discharge Inception Voltage Calculator (Peek's Formula)

Peek's empirical formula calculates the electric field breakdown threshold where air ionizes around high-voltage conductors, triggering acoustic noise and power loss.

Calculated Result
218.96 kV rms

Critical Disruptive Voltage (L-L)

Disruptive Phase-Neutral (Vd)

126.42 kV

Visual Corona Voltage (L-L)

223.14 kV rms

Visual Phase-Neutral (Vv)

128.83 kV

Geometric ln(D/r) Ratio

5.521

Calculation Breakdown

  1. Calculate Peek's critical disruptive gradient and voltageV_d = m0 * g0 * δ * r * ln(D/r) = 0.9 * 21.2 * 1 * 1.2 * 5.521 = 126.42 kV
  2. Convert phase-to-neutral threshold to 3-phase line-to-line rmsV_{d,LL} = √3 * V_d = √3 * 126.42 = 218.96 kV

Corona Inception Thresholds (kV Line-Line)

Interactive visualization based on your current inputs

Threshold
0.065130195260Disruptive (Vd,LL)Visual (Vv,LL)Nominal LineThresholdVoltage (kV rms)

What Is the Corona Discharge Inception Voltage Calculator (Peek's Formula)?

Peek's empirical formula calculates the electric field breakdown threshold where air ionizes around high-voltage conductors, triggering acoustic noise and power loss.

How Does the Corona Discharge Inception Voltage Calculator (Peek's Formula) Work?

The calculation evaluates user-provided measurements using recognized domain equations, converts between measurement units, and adjusts for real-world efficiency factors.

Corona Discharge Inception Voltage Calculator (Peek's Formula) Formula & Variables

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

V_d = m_0 \cdot g_0 \cdot \delta \cdot r \cdot \ln\left(\frac{D}{r}\right), \quad g_0 = 21.2 \text{ kV/cm (rms)}

Vd is the disruptive critical voltage line-to-neutral, scaled by wire roughness m0 and atmospheric relative air density factor δ.

How to Use the Corona Discharge Inception Voltage Calculator (Peek's Formula)

  1. Enter your primary measurements in the input fields above.
  2. Select your preferred units (e.g. metric or imperial) if applicable.
  3. Review or adjust operational assumptions such as field efficiency.
  4. Click Calculate to instantly generate the full results breakdown and visual chart.
  5. Use the Reset button at any time to clear the form and test a new scenario.

Step-by-Step Example Calculation

400kV Conductor Sizing

Input Values:

conductorRadiusCm:1.2
spacingCm:300
airDensityFactorDelta:1
surfaceIrregularityM0:0.9

Understanding Your Result

Your calculated result represents the realistic operational capacity or baseline output under the specified conditions. Comparing theoretical and effective outputs reveals the direct impact of turns, overlap, and practical downtime.

Factors That Affect the Result

Field terrain, operator experience, equipment maintenance, overlap margin, and weather conditions can significantly influence real-world output.

When Should You Use This Calculator?

Use this calculator whenever you need quick, verified estimates for job planning, budgeting, equipment sizing, or project timelines.

Assumptions & Limitations

  • Ensure consistent unit dimensions when specifying engineering input parameters.

Frequently Asked Questions

Calculation Accuracy & Reference Note

This calculator implements verified, deterministic mathematical equations based on published standards. Results should be treated as professional engineering estimates; always verify critical operations with local equipment manuals and site inspections.

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