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Simple model of a brushless DC machine excited by permanent magnets.
Electrical / Machines
The simplified Brushless DC Machine is a model of a permanent magnet synchronous machine with trapezoidal back EMF.
The machine operates as a motor or generator; if the mechanical torque has the same sign as the rotational speed the machine is operating in motor mode, otherwise in generator mode. In the component icon, phase a of the stator winding is marked with a dot.
The electromagnetic torque is:
Mechanical rotor speed:
Mechanical and electrical rotor angle:
The output vector “m” contains the following 6 signals: