🎉 Free launch period — every calculator, every feature unlocked, no account needed, through mid-November 2026. PDF reports carry a watermark for everyone during this period.
Standard short-line approximate voltage-drop formula8 min read

Worked Example: Voltage Regulation on a 5 km, 11 kV Overhead Feeder

Using the conductor's own R and X per kilometre to find how much voltage a rural 11 kV feeder loses over 5 km of overhead line.

Scenario

Sending-end voltage11 kV line-to-line
Load current100 A
Power factor0.85 lagging
Conductor resistance0.4 Ω/km
Conductor reactance0.35 Ω/km
Line length5 km

Step-by-step calculation

Step 1: Scale resistance and reactance to the full line length

R = r x L, X = x x L
R = 0.4 x 5 = 2.0 Ω, X = 0.35 x 5 = 1.75 Ω
R = 2.0 Ω, X = 1.75 Ω

Step 2: Find sin(phi) from the power factor

sin(phi) = √(1 - PF²)
√(1 - 0.85²)
sin(phi) = 0.527

Step 3: Apply the approximate three-phase line-line voltage drop formula

Vdrop = √3 x I x (R x PF + X x sin(phi))
√3 x 100 x (2.0 x 0.85 + 1.75 x 0.527)
Vdrop = 454.1 V

Step 4: Express as a percentage and find the receiving-end voltage

Reg% = Vdrop / Vsending x 100
454.1 / 11,000 x 100
Regulation = 4.13%, receiving-end voltage = 10.546 kV

Result summary

CheckRequirementActualStatus
Voltage regulationTypically ≤5% for a distribution feeder (project-specific)4.13%✓ PASS
Over 5 km, this feeder loses 454 V (4.13%), dropping from 11.000 kV to an effective 10.546 kV at the receiving end — inside a commonly used 5% distribution-feeder guideline, though the actual limit should always come from the relevant utility or grid code.

Key insight: Both resistance and reactance terms matter for overhead lines the way they usually don't for short LV cable runs — X is 1.75 Ω here, not far behind R's 2.0 Ω, because overhead conductors are spaced much further apart than cores in a cable, which increases per-km reactance substantially. Ignoring the reactance term (as some simplified LV-style formulas do) would understate the voltage drop on a line like this.

Try it with your own numbers

Every input in this example is editable in the live calculator — free, no signup.

Open Overhead Line Voltage Regulation calculator →

Frequently asked questions

Where do R and X per km actually come from?

This calculator deliberately doesn't embed an ACSR/AAAC/AAC conductor table, to avoid the transcription risk of hand-copying dozens of conductor geometries — R and X per km are entered from the specific conductor's own datasheet (which itself depends on conductor size, stranding and phase spacing), which is the only way to get a value that's actually correct for the real installation rather than a generic placeholder.

What's the difference between 'voltage drop' and 'regulation' here?

In this calculator they describe the same underlying number from two angles: voltage drop is the absolute loss in volts, and regulation is that same loss expressed as a percentage of the sending-end voltage — regulation is the figure usually compared against a grid code or utility limit, since a fixed volt drop matters differently at 400 V than at 33 kV.

More in Cables & Line Engineering

← Back to all worked examples