Understand What Factors Influence the Stall Torque of a Brushless DC Motor

Apply sufficient power to a brushless DC (BLDC) motor, and it turns. Remove the power, and it stops. But there is a condition in between where power is applied but the motor is not moving. This is a motor that is at stall. In this state, with power applied, it is very much a live motor; just because it isn’t turning doesn’t mean current isn’t flowing through the windings - actually just the opposite. At stall, an excess of current is flowing, heating up the motor coils; if stall conditions are maintained, or frequently repeated, these stresses can quickly add up to trouble.Graphs_Physical Parameter

The stall torque of a brushless DC motor is dependent upon the torque constant, the stall current and the static friction torque. In most applications we can ignore the static friction torque, as it will be a negligible overall contributor to stall torque. In that case, we can state that the stall torque is given by:  Where Ts is the stall torque, kt is the torque constant, U is the voltage and R is the phase resistance.

The motor supplier will specify the stall torque for a given motor. There are physical parameters that will impact that figure, but also there are significant factors that contribute to the tolerance in the stall torque.

The torque constant itself has a typical tolerance of ±10%. Of this, approximately ±2.5% is caused by variation of the magnetic strength of the permanent magnet, i.e. variation of the magnetic remanence. The specific tolerance of this value depends on the manufacturing process capability of the supplier. The remaining ±7.5% of the torque constant tolerance is mainly due to phase setting.

Graphs_Physical Parameter2The phase resistance of the motor (ohms) also affects the standard tolerance, and its contribution is usually given to be ±8%. It is due to the variation in the length of the wire while winding it. This is inherent to the manufacturing process.

What this all means is that, before we’ve even begun to consider external influences, we must allow for a tolerance of ±18% in the specified stall torque value.

Impact of temperature change

With the uncertainties of the manufacturing process understood, the designer must now consider the physical influences of the application, with temperature being perhaps the most important. Temperature can be an extrinsic factor (environmental temperature) or an intrinsic factor (joule losses of the coil), or both. That is the reason why phase resistance is always given for a certain temperature.

Increased temperature leads to increased phased resistance, in a linear relationship that equates to an increase of about 0.39% per °C. Temperature will also have an impact on the remanence of the magnet. With typical magnets used in brushless DC motors, assuming the temperature remains below the temperature of demagnetization, the temperature increase will result in a drop of the torque constant of roughly 0.11% per °C.

The designer must also consider the influence of the driving method – particularly when the application makes specific use of stall torque, as in our electric gripper example. In a conventional 6-step driver (using hall sensors), there is an associated ripple in the output torque of the motor. The difference to the top and the bottom of this ripple is equal to 13.4% of the maximum torque available. In this 6-step driver, the actual stall torque of the motor will be within this 13.4% tolerance range of the torque ripple.

An alternative method of driving the motor is field oriented control. There is no torque ripple with this method of control – torque is constant no matter the rotor position, and there is no ripple to influence the stall torque value.

We can see that there are many factors that impact the stall torque of a motor in a given application, and designers need to consider all of these influences. There may be a temptation simply to specify more powerful drive electronics, but this can have detrimental impacts in size, cost and power consumption.

Portescap ECSStallTorquehas extensive expertise to help engineers understand all of the factors that influence stall torque and has tested its motors under real-world conditions. Portescap’s engineers are always on hand to help designers select the optimum motor/drive package to meet the requirements of the application, and to provide design and specification support along the way.

To learn more about the factors that influence stall torque, read the complete white paper or contact an engineer.