PLECS 3.3 Online Help |
Simple model of brushless DC machine excited by permanent magnets
Electrical / Machines
The simplified Brushless DC Machine is a model of a permanent magnet synchronous machine with sinusoidal or 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:
For back EMF shapes other than sinusoidal or trapezoidal, and/or if the stator
inductance is angle dependent please use the sophisticated model of the Brushless
DC Machine. The sophisticated BLDC machine can be configured as a simple BLDC
machine with sinusoidal back EMF if the parameters are converted as follows:
For machines with sinusoidal back EMF you may also consider to use the
Permanent Magnet Synchronous Machine. The parameters can be converted as
follows provided that the stator inductance is independent of the rotor angle: