Your Equation

Library / Driveline and transmission / DRV-11

Driveline and transmission

Torque converter efficiency

Efficiency of a torque converter: the torque ratio multiplied by the speed ratio between turbine and pump.

Ref
DRV-11
Rev
v1
Field
Driveline and transmission
Result
ηTC

A torque converter has a torque ratio TR = Tt/Tp (turbine torque over pump torque) and a speed ratio SR = ωt/ωp. Its efficiency is the power out over the power in, which is the product ηTC = TR × SR. At stall the turbine does not turn, so SR = 0 and the efficiency is zero however large the torque multiplication. Stall torque multiplication is a launch aid only; it cannot be counted on during sustained motion. A lock-up clutch or a coupling phase has TR = 1 and efficiency equal to the speed ratio.

Efficiency of a torque converter: the torque ratio multiplied by the speed ratio between turbine and pump. At stall the speed ratio is zero, so the efficiency is zero however large the torque multiplication.

Calculator

Solve for
0.83
01
  • Power loss as a fraction of input0.1
  • Slip, 1 − SR0.4

What drives the result

Each variable is moved across its typical range while the others stay at the values above. The longest bar is the key driver.

Converter efficiency () current value 0.9
SRSpeed ratio, turbine over pumpKey driver
01.5
TRTorque ratio, turbine over pump
0.481.8
  • At a speed ratio of 0.6 and a torque ratio of 1.5 the converter is 90 % efficient. At stall (SR = 0) it is 0 % however large TR is, and all the input power is lost as heat.
  • At the coupling point TR = 1 and the efficiency equals SR, so 90 % at SR = 0.9. A lock-up clutch removes the loss entirely by connecting pump and turbine.
Chart data as tables

Ranked variables

VariableTypical rangeLowest resultHighest resultSwing ()Local stepChange in result
SR Speed ratio, turbine over pump0 to 1 01.51.5+10%+10 %
TR Torque ratio, turbine over pump0.8 to 3 0.481.81.32+10%+10 %

Sweep of Speed ratio, turbine over pump

Speed ratio, turbine over pumpConverter efficiency
00
0.1250.1875
0.250.375
0.3750.5625
0.50.75
0.6250.9375
0.751.125
0.8751.313
11.5

Sweep one variable

Converter efficiency ()Hover, touch, or use the arrow keys on the chart
00.511.5 00.20.40.60.81 Speed ratio, turbine over pump now 0.9

Variables and how each one contributes

ηTC

Converter efficiency

Result ·

What the equation gives you. Everything else feeds it.

TR

Torque ratio, turbine over pump

· typical 0.8 to 3

The torque ratio: turbine torque divided by pump torque. About 2 to 3 at stall, falling to 1 at the coupling point. Raises the efficiency in proportion, at the same speed ratio. Raising it by 10 % (to 1.65) moves the result by +10 %, from 0.9 to 0.99.

SR

Speed ratio, turbine over pump

· typical 0 to 1

The speed ratio: turbine speed divided by pump speed, from 0 (stall) to about 1 (locked). Raises the efficiency in proportion, at the same torque ratio. Raising it by 0.1 (to 0.7) moves the result by +16.7 %, from 0.9 to 1.05.

Worked example with the values above

  1. Multiply the two ratios: TR × SR = 1.5 × 0.6.
  2. ηTC = 0.9.
  3. So 90 % of the input power reaches the turbine and the rest becomes heat.

Assumptions and limits

  • Steady operation at one point on the converter characteristic.
  • Torque ratio and speed ratio measured at that same point.

Common mistakes

  • Assuming stall torque multiplication is available in sustained motion.
  • Reading TR as efficiency. A ratio above 1 does not mean a gain in power.

Statistics and uncertainty

TR and SR come from a measured converter characteristic and vary with the load; ±3 % on each gives about ±4 % on the efficiency. Efficiencies above 1 are not possible, so a calculated value above 1 signals inconsistent inputs.

Where it is used

  • Judging how much engine power a converter passes on at a given speed ratio.
  • Deciding when a lock-up clutch pays off.

Maths you need

  • Torque and power: power equals torque times angular speed
  • Efficiency: output over input

Related formulas

Practise this formula