moteus is able to for many motors automatically determine all the relevant parameters that are necessary for control. That includes phase resistance, phase inductance, torque constant and pole count. The calibration routines have worked pretty well for a wide variety of motors and all the currently available moteus controllers, but when working to expand the supported envelope recently I undertook an effort to make that support even broader, specifically to improve accuracy when measuring resistance and torque constant, and to reduce outliers when measuring inductance.

One of the characteristic metrics of brushless DC motors is the Kv value, which describes the relationship between the angular velocity of the motor and its back EMF. Somewhat unexpectedly, this constant also completely determines the torque constant of the motor, i.e. the relationship between phase current and mechanical torque output (see this Things In Motion post).

Since the very first release of moteus, this Kv constant has been stored in moteus using somewhat non-intuitive units as motor.v_per_hz. That makes a lot of sense internally, as nearly all math the controller has to do can be natively done with those dimensions. However, as a user visible motor constant, it is completely opaque. Further, as a result of my incremental discovery of the math behind BLDC motors, the constant used by moteus had some additional “fudge” factors baked in that were then backed out through other “fudge” factors in the firmware.

Way back in 2019, I documented the approach moteus has used for encoder commutation calibration ever since. In principle, it commands a fixed voltage that is swept through a range of electrical angles. Assuming the voltage is large enough, this will drag the rotor around with it similar to if the motor was a stepper motor. While that is happening, the commutation encoder reading is recorded over time, so that a mapping can be made between commutation encoder and the electrical angle of the motor. When combined with the old dead time compensation technique, it resulted in relatively sinusoidal current waveforms and thus smooth motion of the rotor and a smooth mapping.

Way back in 2021, I wrote up a post detailing a method for improving the linearity of the relationship between applied voltage and current for moteus, particularly during the calibration phase. At the time, this did solve a real problem – during calibration, moteus applied a fixed voltage to the phase terminals, swept the electrical angle of that voltage, and hoped that the mechanical angle as sensed with the on-axis sense magnet matched well. However, as a result of some new work, I’ve found that the premise behind that approach was flawed and it needs some re-thinking. This describes what I found, and what’s being done to resolve it going forward.