BIZOMAT MAKEOS · Power Transmission

Motor Efficiency Test with a Prony Brake (Torque, Output, Efficiency)

From a brake load test, what torque and output does this motor give, what efficiency does that mean against the measured electrical input, and does it match the nameplate?

Load test of a three-phase motor with a Prony brake or arm-and-scale dynamometer: net scale force, torque and shaft output at the measured speed (as the Prony brake tool), electrical input from line voltage, current and power factor (as the motor power tool), efficiency, load as a share of rated output, and the efficiency check against the nameplate within your tolerance.

Open the calculatorRuns in your browser. No account needed.

How this tool works

Inputs, units and where to find them

InputUnitTypical source
Brake arm lengthmDistance from the shaft centre to the scale contact on the brake arm.
Scale reading under loadNScale reading with the brake loading the motor.
Scale reading with the brake slack (tare)NScale reading with the brake slack (arm weight).
Measured speedrpmShaft speed during the reading.
Line voltageVLine-to-line voltage during the test.
Line currentAAverage line current during the test.
Power factorPower factor during the test (from a power analyser).
Rated outputkWRated output from the nameplate.
Nameplate efficiency%Efficiency on the nameplate at this load.
Allowed shortfall from nameplatepointsHow many percentage points below the nameplate you accept (test accuracy plus standard tolerance).

What each input means

Open an input to see what it is, its units, the worked example and the common mistakes, with a small diagram.

What this means: Brake arm length
Illustration: Brake arm lengthA bar with a dimension line and arrows from one end to the other, marking the length Brake arm length.LExample: 0.5 mBrake arm length
What it is
The distance from the shaft centre to the point where the brake arm presses on the scale: the lever arm for the torque.
Units and format
Enter a number in m: metres. The form accepts 0.000001 m to 10 m. Required: the tool does not calculate until every input is valid.
Example
The form opens with 0.5 m as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Torque and output rise in direct proportion.
What this means: Scale reading under load
Illustration: Scale reading under loadA block with an arrow pushing on it; the arrow is the force Scale reading under load.FExample: 190 NScale reading under load
What it is
The force shown on the scale under the brake arm while the brake is loading the motor at steady speed.
Units and format
Enter a number in N: newtons. The form accepts 0.000001 N to 1000000 N. Required: the tool does not calculate until every input is valid.
Example
The form opens with 190 N as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
What this means: Scale reading with the brake slack (tare)
Illustration: Scale reading with the brake slack (tare)A block with an arrow pushing on it; the arrow is the force Scale reading with the brake slack (tare).FExample: 50 NScale reading with the brake slack (tare)
What it is
The scale reading with the brake slack, mainly the weight of the arm; it is subtracted from the loaded reading.
Units and format
Enter a number in N: newtons. The form accepts 0 N to 1000000 N. Required: the tool does not calculate until every input is valid.
Example
The form opens with 50 N as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
What this means: Measured speed
Illustration: Measured speedA turning disc with a marker; Measured speed is how many full turns it makes in each minute.turns of the shaftper minutenExample: 1460 rpmMeasured speed
What it is
The shaft speed measured with a tachometer during the loaded reading.
Units and format
Enter a number in rpm: revolutions per minute. The form accepts 0.000001 rpm to 100000 rpm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 1460 rpm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Shaft output rises in direct proportion.
What this means: Line voltage
Illustration: Line voltageA simple circuit with a supply and a load; Line voltage is one of its electrical quantities.~loadVExample: 415 VLine voltage
What it is
The line-to-line voltage of the three-phase supply, measured during the test.
Units and format
Enter a number in V: volts. The form accepts 0.000001 V to 15000 V. Required: the tool does not calculate until every input is valid.
Example
The form opens with 415 V as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Line-to-line, not line-to-neutral; the tool uses √3 × V × I × pf.
What this means: Line current
Illustration: Line currentA simple circuit with a supply and a load; Line current is one of its electrical quantities.~loadIExample: 19.5 ALine current
What it is
The average of the three line currents measured during the test.
Units and format
Enter a number in A: amperes. The form accepts 0.000001 A to 100000 A. Required: the tool does not calculate until every input is valid.
Example
The form opens with 19.5 A as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
What this means: Power factor
Illustration: Power factorA simple circuit with a supply and a load; Power factor is one of its electrical quantities.~loadpfExample: 0.85Power factor
What it is
The power factor measured during the test with a power analyser.
Units and format
Enter a plain number with no unit. The form accepts 0.1 to 1. Required: the tool does not calculate until every input is valid.
Example
The form opens with 0.85 as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
The nameplate power factor applies only at rated load, so it gives just an estimate.
What this means: Rated output
Illustration: Rated outputA motor driving a shaft; Rated output is the rate at which it does work, energy per second.PExample: 11 kWRated output
What it is
The rated shaft output on the motor nameplate, used to show the load at which the test ran.
Units and format
Enter a number in kW: kilowatts. The form accepts 0.000001 kW to 100000 kW. Required: the tool does not calculate until every input is valid.
Example
The form opens with 11 kW as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
What this means: Nameplate efficiency
Illustration: Nameplate efficiencyInput on the left and useful output on the right with the loss split off; Nameplate efficiency is output divided by input.inputuseful outputlossηExample: 91%Nameplate efficiency
What it is
The efficiency the nameplate or data sheet gives at the load tested.
Units and format
Enter a number in %: percent: the number is read as a percentage, so type 8 for 8 %. The form accepts 30% to 100%. Required: the tool does not calculate until every input is valid.
Example
The form opens with 91% as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
What this means: Allowed shortfall from nameplate
Illustration: Allowed shortfall from nameplateA bar of 100 parts with the share marked; Allowed shortfall from nameplate is that share out of 100. The bar follows the value you type.0 %100 %Example: 3 pointsAllowed shortfall from nameplate
What it is
How many percentage points the measured efficiency may fall below the nameplate value before the motor is flagged.
Units and format
Enter a number in points: points. The form accepts 0 points to 30 points. Required: the tool does not calculate until every input is valid.
Example
The form opens with 3 points as a worked example. It is an illustration, not a recommended value: replace it with your own figure.

Method and formulas

  1. Net force W = reading − zero; torque T = W L; output P = 2π n T ÷ 60 (as the Prony brake tool).
  2. Electrical input = √3 V I pf (as the motor power tool).
  3. Efficiency = output ÷ input; load = output ÷ rated output.
  4. Example: 70 N·m at 1460 rpm is 10.702 kW out for 11.914 kW in, 89.829% efficient at 97.294% load.

Limitations

  • Power factor must be measured; nameplate power factor gives only an estimate of input.
  • Brake friction heating changes the load during a reading: take readings quickly at steady speed.
  • Example values are illustrations. Replace them with values for your actual task.

Typical uses

  • Check a rebuilt motor’s efficiency
  • Verify a motor’s output under load
  • Teach or demonstrate motor testing

Who it is for

  • Electrical engineers
  • Maintenance engineers
  • Test technicians

What you get

  • Torque and shaft output
  • Electrical input and efficiency
  • Load share and nameplate check

Interpreting the result

  • Efficiency well below the nameplate after a rewind usually points to core damage or wrong winding data.

References

  • Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 2998–2999, 2569–2580. Topic reference; no source tables or recommended settings are reproduced.

BIZOMAT tools are screening and decision-support utilities. Verify important financial, engineering, safety, legal or operational decisions using appropriate professional standards and your organisation’s approved data.

Open the Motor Efficiency Test with a Prony Brake (Torque, Output, Efficiency) calculator