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Short Transmission Line Voltage Regulation Calculator

Voltage regulation measures the percentage change in receiving-end voltage between no-load and full-load conditions.

Line-to-line receiving-end voltage.

Total three-phase active load.

Power factor (0.1 to 1.0).

Nature of reactive load.

Total series resistance per phase.

Total series inductive reactance per phase.

Calculated Result
5.05 %

Voltage Regulation

Result Summary

Sending voltage: 34.67 kV, Regulation: 5.05%, Efficiency: 96.54%, Losses: 358.7 kW.

Calculation Breakdown

  1. Step 1: Load CurrentI = P / (√3·V_LL·pf) = 218.7 A
  2. Step 2: Sending End VoltageVs(phase) = Vr + I·(R·cosφ ± X·sinφ) => Vs(line) = 34.67 kV
  3. Step 3: Regulation & EfficiencyVR% = (5.05%), Losses = 358.7 kW, η = 96.54%

What Is the Short Transmission Line Voltage Regulation Calculator?

Voltage regulation is the normalized voltage drop across a transmission line from sending end to receiving end under full load.

How Does the Short Transmission Line Voltage Regulation Calculator Work?

Calculates load current I = P / (√3 · V · pf).

Determines sending-end voltage through phasor projection.

Computes transmission losses 3·I²·R and line efficiency.

Short Transmission Line Voltage Regulation Calculator Formula & Variables

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

VR% = [(Vs - Vr) / Vr] · 100%, Vs ≈ Vr + I·(R·cosφ ± X·sinφ)

Short transmission line phasor drop formula and percentage regulation.

How to Use the Short Transmission Line Voltage Regulation Calculator

  1. Input receiving voltage, power, and power factor.
  2. Enter total line series resistance and reactance.

Step-by-Step Example Calculation

33 kV Sub-transmission Feeder

Input Values:

receivingVoltage:33
loadPower:10
powerFactor:0.8
powerFactorType:lagging
resistance:2.5
reactance:4
Worked Steps: 33 kV sub-transmission feeder carrying 10 MW at 0.8 lagging.

Understanding Your Result

Primary output indicates voltage regulation percentage.

Summary displays sending voltage, losses, and efficiency.

Factors That Affect the Result

  • Load power factor (leading power factor can produce negative regulation / voltage rise).
  • Conductor gauge and spacing.

When Should You Use This Calculator?

  • Sub-transmission and distribution feeder design and voltage regulator tap sizing.

Assumptions & Limitations

  • Applicable to lines shorter than ~80 km where shunt capacitance is negligible.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Standard short-line phasor approximation.

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