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Permanent Magnet Synchronous Machine

Purpose

Synchronous machine excited by permanent magnets.

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Machines

Description

[Picture]

This machine is modeled in the rotor reference frame. The machine operates as a motor or generator; the sign of the mechanical torque determines the mode of operation (positive for motoring, negative for generating). All electrical variables and parameters are viewed from the stator side. In the component icon, phase a is marked with a dot.

Electrical System

pict

pict

Stator flux linkages:

'q = Lqiq

'd = Ld id + '0m

Electromagnetic torque:

     3
Te = -p ('d iq   'qid)
     2

Mechanical System

Mechanical rotor speed !m:

      -1
!m  = J  (Te    F!m    Tm)

m  = !m

Parameters and Dialog Box

[Picture]

Stator resistance
Armature or stator resistance Rs in _O_.
Stator inductance
A two-element vector containing the combined stator leakage and magnetizing inductance. Ld is referred to the d-axis and Lq to the q-axis of the rotor. The values are in henries (H).
Flux induced by magnets
Constant flux linkage 'm0 in Vs induced by the magnets in the stator windings.
Inertia
Combined rotor and load inertia J in Nms2.
Friction coefficient
Viscous friction F in Nms.
Number of pole pairs
Number of pole pairs p.
Initial rotor speed
Initial mechanical rotor speed !m;0 in radians per second (s1).
Initial rotor position
Initial mechanical rotor angle m;0 in radians.
Initial stator currents
A two-element vector containing the initial stator currents is;a;0 and is;b;0 of phase a and b in amperes (A).

Inputs and Outputs

Mechanical torque
The input signal Tm represents the mechanical torque at the rotor shaft, in Nm.

The output vector "m" contains the following 3 signals:

(1) Rotor speed
The rotational speed !m of the rotor in radians per second (s1).
(2) Rotor position
The mechanical rotor angle m in radians.
(3) Electrical torque
The electrical torque Te of the machine in Nm.