blcpro:
Permanent-magnet synchronous motor (PMSM) is a technical term. Brushless DC (BLDC) motor is a marketing term, and hence not so precise. You will see IEEE technical papers written about PMSMs by engineers for companies who sell BLDC motors and AC servo motors (PMSMs encompass both.)
The term "brushless DC motor" was invented by marketing people to sell the idea that this motor with the appropriate drive could be a drop-in replacement for a brush DC motor and drive. Technically, it's a horrible name, because a BLDC motor is an AC motor. That is, for movement in one direction, you must feed the motor AC voltages and currents. Fundamentally, these were AC synchronous motors, usually with a permanent magnet field, with one or two feedback devices (halls, tach, resolver, encoder) attached to govern the commutation and possibly servo control.
The early systems were square-wave ("six-step" for 3-phase) commutated off the hall sensors for reasons of simplicity. The motors were typically "trapezoidally wound" -- that is, their back-EMF profiles were roughly trapezoid-shaped -- to minimize torque ripple with square-wave commutation.
Starting with high-precision servo systems, these systems increasingly employed sinusoidal commutation working off a high-resolution feedback device such as a resolver or an optical encoder. The motors optimized for this scheme are "sinusoidally wound", with sinusoidal back-EMF profiles, more like the old AC synchronous motors designed to operate off the AC lines. Marketing groups tend to call these "brushless AC" motors, or "AC servo" motors for positioning applications. But these motors really only differ subtly from "brushless DC" motors in their winding patterns.
In servo systems, the pendulum has swung very heavily toward the sinusoidally wound motors with sinusoidal commutation, because you already have the high-resolution position sensor for the servo loop, so the added cost of the sinusoidal commutation algorithm is minimal. In systems without a high-res sensor, six-step commutation off hall sensors with trapezoidally wound motors (which offer higher average torque in the same frame, but higher torque ripple) are still pretty common.
Curt Wilson
Delta Tau Data Systems