SM Permanent Magnet
Permanent magnet synchronous induction machine
Description
Connections
Parameters
Modelica Standard Library
The SM Permanent Magnet component models a three phase permanent magnet synchronous induction machine. The resistance and stray inductance of the stator is modeled directly in stator phases, then using space phasor transformation and a rotor-fixed Air Gap model. The resistance and stray inductance of the rotor's squirrel cage is modeled in two axis of the rotor-fixed coordinate system. Permanent magnet excitation is modeled by a constant equivalent excitation current feeding the d-axis.
The following losses are modeled:
heat losses in the temperature dependent stator winding resistances
optional, when enabled: heat losses in the temperature dependent damper cage resistances
friction losses
core losses (only eddy current losses, no hysteresis losses)
stray load losses
permanent magnet losses
Whether a damper cage is present or not, can be selected with Boolean parameter useDamperCage (default = true).
Name
Modelica ID
flange
Shaft
i
Damper cage currents
ir
idqdr
Damper space phasor current / rotor fixed frame
idq_dr
plugsn
Negative stator plug
plug_sn
plugsp
Positive stator plug
plug_sp
support
Support at which the reaction torque is acting
thermalPort
Conditional heat port
General Parameters
Default
Units
fs,nom
50
Hz
Nominal frequency
fsNominal
Jr
0.29
kg⁢m2
Rotor moment of inertia
Js
Stator moment of inertia
p
2
Number of pole pairs (Integer)
Tr,oper
293.15
K
Operational temperature of (optional) damper cage
TrOperational
Ts,oper
Operational temperature of stator resistance
TsOperational
Vs,oc
V
Open circuit RMS voltage per phase at nominal frequency
VsOpenCircuit
Use Support Flange
false
True (checked) means stator support is enabled
useSupport
Use Thermal Port
True (checked) means heat port is enabled
useThermalPort
Friction Losses
Pref
0
W
Reference friction losses
PRef
ωref
ωnom
rads
Reference angular velocity
wRef
pω
Exponent of friction
power_w
See Friction for details of the friction loss model.
Permanent Magnet Losses
c
Part of permanent magnet losses at zero current, independent of current
Iref
A
Reference stator RMS current
IRef
Reference permanent magnet losses at Iref and ωref
pI
Exponent of permanent magnet loss torque w.r.t. stator current
power_I
1
Exponent of permanent magnet loss torque w.r.t. angular velocity
See Permanent Magnet Losses for details on the permanent magnet losses.
Stator Core Losses
Reference rotor core losses
Vref
Reference RMS voltage
VRef
2⁢π⁢fs,nom
See Core for details of the core loss model.
Stray Load Losses
Ianom
Reference RMS current
Exponent of stray load loss
See Stray Load for details of the stray load loss model.
Nominal Resistances And Inductances Parameters
αr
1K
Temperature coefficient of damper resistances in d- and q-axis
alpha20r
αs
Temperature coefficient of stator resistance at 20 degC
alpha20s
Lmd
0.15⁢πfs,nom
H
Main field inductance in d-axis
Lmq
Main field inductance in q-axis
Lrσd
0.025⁢πfs,nom
Damper stray inductance in d-axis
Lrsigmad
Lrσq
Damper stray inductance in q-axis
Lrsigmaq
Lsσ
0.05⁢πfs,nom
Stator stray inductance per phase
Lssigma
Ls0
Stator zero sequence inductance
Lszero
Rrd
0.04
Ω
Damper resistance in d-axis at TRef
Rrq
Damper resistance in q-axis at TRef
Rs
0.03
Warm damper resistance in q-axis
Tr,ref
Reference temperature of damper resistances in d- and q-axis
TrRef
Ts,ref
Reference temperature of stator resistance
TsRef
Use Damper Cage
True (checked) means damper cage is enabled
useDamperCage
The component described in this topic is from the Modelica Standard Library. To view the original documentation, which includes author and copyright information, click here.
See Also
Electrical Library
Electrical Machines
Synchronous Induction Machines
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