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SM Permanent Magnet

Permanent magnet synchronous induction machine

 

Description

Connections

Parameters

Modelica Standard Library

Description

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).

Connections

Name

Description

Modelica ID

flange

Shaft

flange

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

support

thermalPort

Conditional heat port

thermalPort

Parameters

General Parameters

Name

Default

Units

Description

Modelica ID

fs,nom

50

Hz

Nominal frequency

fsNominal

Jr

0.29

kgm2

Rotor moment of inertia

Jr

Js

Jr

kgm2

Stator moment of inertia

Js

p

2

 

Number of pole pairs (Integer)

p

Tr,oper

293.15

K

Operational temperature of (optional) damper cage

TrOperational

Ts,oper

293.15

K

Operational temperature of stator resistance

TsOperational

Vs,oc

293.15

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

false

 

True (checked) means heat port is enabled

useThermalPort

Friction Losses

Name

Default

Units

Description

Modelica ID

Pref

0

W

Reference friction losses

PRef

ωref

ωnom

rads

Reference angular velocity

wRef

pω

2

V

Exponent of friction

power_w

See Friction for details of the friction loss model.

Permanent Magnet Losses

Name

Default

Units

Description

Modelica ID

c

0

 

Part of permanent magnet losses at zero current, independent of current

c

Iref

 

A

Reference stator RMS current

IRef

Pref

0

W

Reference permanent magnet losses at Iref and ωref

PRef

pI

2

 

Exponent of permanent magnet loss torque w.r.t. stator current

power_I

pω

1

 

Exponent of permanent magnet loss torque w.r.t. angular velocity

power_w

ωref

 

rads

Reference angular velocity

wRef

See Permanent Magnet Losses for details on the permanent magnet losses.

Stator Core Losses

Name

Default

Units

Description

Modelica ID

Pref

0

W

Reference rotor core losses

PRef

Vref

 

V

Reference RMS voltage

VRef

ωref

2πfs,nom

rads

Reference angular velocity

wRef

See Core for details of the core loss model.

Stray Load Losses

Name

Default

Units

Description

Modelica ID

Iref

Ianom

W

Reference RMS current

IRef

Pref

0

W

Reference friction losses

PRef

ωref

ωnom

rads

Reference angular velocity

wRef

pω

1

V

Exponent of stray load loss

power_w

See Stray Load for details of the stray load loss model.

Nominal Resistances And Inductances Parameters

Name

Default

Units

Description

Modelica ID

αr

0

1K

Temperature coefficient of damper resistances in d- and q-axis

alpha20r

αs

0

1K

Temperature coefficient of stator resistance at 20 degC

alpha20s

Lmd

0.15πfs,nom

H

Main field inductance in d-axis

Lmd

Lmq

0.15πfs,nom

H

Main field inductance in q-axis

Lmq

Lrσd

0.025πfs,nom

H

Damper stray inductance in d-axis

Lrsigmad

Lrσq

Lrσd

H

Damper stray inductance in q-axis

Lrsigmaq

Lsσ

0.05πfs,nom

H

Stator stray inductance per phase

Lssigma

Ls0

Lsσ

H

Stator zero sequence inductance

Lszero

Rrd

0.04

Ω

Damper resistance in d-axis at TRef

Rrd

Rrq

Rrd

Ω

Damper resistance in q-axis at TRef

Rrq

Rs

0.03

Ω

Warm damper resistance in q-axis

Rs

Tr,ref

293.15

K

Reference temperature of damper resistances in d- and q-axis

TrRef

Ts,ref

293.15

K

Reference temperature of stator resistance

TsRef

Use Damper Cage

false

 

True (checked) means damper cage is enabled

useDamperCage

Modelica Standard Library

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