Section 4: Calculating Voltage Drop
Introduction
This section explains voltage drop and how to calculate it
for roadway illumination branch circuits.
Voltage drop can be calculated manually, using the methods
described in this section
or by using the NewVolt spreadsheet
calculator, which is available from the TxDOT Traffic Operations
Division (TRF).
Maximum Allowable Voltage Drop
Typical service line voltage for illumination
are
240V or
480 VAC. However, since copper wire has some
amount of resistance, a voltage drop (or loss) will occur in the
wire itself. This energy is lost in the form of heating in the wire.Magnetic regulator ballasts for HPS of the type specified
for roadway lighting (and shown on Roadway Illumination Details)
will operate properly at 10 percent under rated line voltage. (This
is not true for all electrical equipment. For equipment other than
roadway lighting, see the equipment manufacturer’s documentation.)
Good design practice allows the utility company 2 percent variation
from rated line voltage, leaving 8 percent available for voltage
drop in branch circuits. Therefore, the maximum allowable voltage
drops are derived as follows:
- 480V 0.08 = 38.4V
- 240V x 0.08 = 19.2V.
The drivers in LED luminaires operate on a range
of voltages. The typical ranges are 120V-277V and 347V-480V. Although
LED luminaires can operate on larger voltage drops than 8%, TxDOT recommends
designing circuits with a maximum allowable voltage drop at 8% for
LEDs also.
Formula
Voltage (V) is equal to current (I) times resistance (R), expressed as:

Therefore, voltage drop (Vd) in any given run may be calculated as:

Discussions of each of the factors in this formula follow.
Current in the Run
When calculating voltage drop manually, the designer must
determine the current in each run (that is, from the last light
pole to the next-to-last, etc., all the way back to the service
pole). The current depends on the number and type of fixtures. The
following table shows the current required for the various types
of fixtures.
Luminaire Wattage and Type* | — Line Voltage — | |||
---|---|---|---|---|
120 V | 240 V | 480
V | ||
150W HPS | 1.67 A | 0.83 A | 0.42
A | |
250W HPS | 2.50 A | 1.25 A | 0.63
A | |
400W HPS | 3.75 A | 1.88 A | 0.94
A | |
150 W EQ LED | 0.83 A | 0.42 A | 0.21
A | |
250W EQ LED | 1.42 A | 0.71 A | 0.35
A | |
400W EQ LED | 2.08 A | 1.04 A | 0.52
A | |
12-400 W HPS HM | 45.0 A | 22.5 A | 11.3
A | |
6-400W LED HM | 30.0 A | 15.0 A | 7.50
A | |
150 or 165 W IF | 1.4 A | 0.71 A | n/a | |
*HPS
= High Pressure Sodium; LED = Light Emitting Diode; IF = Induction
Fluorescent; HM = High Mast |
Conductor Resistance
To calculate voltage drop, you need to know the resistance
of the conductor (wire) used in the branch circuit. Resistance is
a function of wire size and length. Resistance for both wires going
to the luminaire must be considered.
The following table shows wire resistance for various American
Wire Gauges (AWG). Since both wires are the same size in typical
circuits, the table shows “loop resistance”; thus the designer need only
calculate the distance between luminaire poles.
Wire Size | Loop Wire Resistance* | |
---|---|---|
(AWG) | (ohms/foot) | (ohms/meter) |
12 | 0.003360 | 0.011023 |
10 | 0.002036 | 0.006680 |
8 | 0.001308 | 0.004291 |
6 | 0.000820 | 0.002690 |
4 | 0.000518 | 0.001700 |
2 | 0.000324 | 0.001063 |
0 | 0.000204 | 0.000670 |
00 | 0.000162 | 0.000532 |
* Values shown
are for uncoated copper conductors in conduit at 25°C |
Loop resistance accounts for the wire run in both directions,
requiring the designer to measure only the one-way distance between
luminaire poles.
Larger wire sizes have lower resistances. Using larger wire
is one way to reduce the voltage drop in the circuit.
Length of Run
When using the preceding table to obtain conductor resistance
per meter or foot, the “length of the run” used in the voltage drop
formula will simply be the one-way distance between the poles.
Because of the way luminaires are wired, the height of the
pole is of no consequence in voltage drop calculations. Only at
the last pole would the height be a factor, and then only if the
pole were very tall (high mast, for instance).
Calculation Example
On a 480 volt branch circuit, the run from the last light pole to the next light pole is 200 feet. The twin-arm light pole supports two 400W EQ LED fixtures. The conductor is 8 gauge wire.
Using data from the tables provided in this section, we obtain the following information:
- current in the run = 2 × 0.52 ampsor1.04 amps
- loop resistance of the conductor = 0.001308
Using the formula for calculating voltage drop, we find

and therefore

Total Voltage Drop
Each run of the branch circuit will have a voltage drop. Therefore,
as you work toward the electrical service, the total voltage dropped
in the wiring increases as the drop for each successive run is added.
This total must not exceed 8 percent at the pole farthest from the
electrical service.
Split Branch Circuit
Sometimes a branch circuit splits and runs in two directions.
When this happens, the designer must remember that each run split
off the circuit has a separate voltage drop.