Path: Electrical/Motor
% Permanent magnet machine model in ABC coordinates with 6 switches.
The switches connect the 3 phases to a resistor and capactor in
parallel.
Assumes a 3 phase machine in a Y connection. Control is by setting
the switch positions.
The permanent magnet flux distribution is assumed sinusoidal.
The switch state has six possibilities. For a six switch inverter we"
define
v
|
s1
|- Phase A ----------
s4
|
ground
v
|
s3
|- Phase B ----------
s6
|
ground
v
|
s5
|- Phase C ----------
s2
|
ground
The switch states are
uA uB uC
1 S5,S6,S1 closed 1/3 -2/3 1/3
2 S6,S1,S2 closed 2/3 -1/3 -1/3
3 S1,S2,S3 closed 1/3 1/3 -2/3
4 S2,S3,S4 closed -1/3 2/3 -1/3
5 S3,S4,S5 closed -2/3 1/3 1/3
6 S4,S5,S6 closed -1/3 -1/3 2/3
--------------------------------------------------------------------------
Form:
d = PMABCMachineSwitchedRHS;
xDot = PMABCMachineSwitchedRHS( x, t, d )
--------------------------------------------------------------------------
------
Inputs
------
x (6,1) The state vector [iA;iB;iC;omegaM;thetaM;u]
t (1,1) Time
d (1,1) Data structure
.lM (1,1) Mutual inductance
.psiM (1,1) Permanent magnet flux
.lSS (1,1) Stator self inductance
.rS (1,1) Stator resistance
.p (1,1) Number of poles (1/2 pole pairs)
.s (1,1) Switch state
.tL (1,1) Load torque
.bM (1,1) Viscous damping (Nm/rad/s)
.j (1,1) Inertia
.cL (1,1) Load capacitance
.rL (1,1) Load resistance
-------
Outputs
-------
x (6,1) The state vector derivative
--------------------------------------------------------------------------
Reference: Lyshevski, S. E., "Electromechanical Systems, Electric
Machines, and Applied Mechatronics," CRC Press, 2000,
--------------------------------------------------------------------------
Electrical: Motor/PMABCMachineRHS
Back to the Electrical Module page