WOLFRAM SYSTEMMODELER

SM_PermanentMagnet

Permanent magnet synchronous machine with optional damper cage

Diagram

Wolfram Language

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SystemModel["Modelica.Magnetic.FundamentalWave.BasicMachines.SynchronousInductionMachines.SM_PermanentMagnet"]
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Information

This information is part of the Modelica Standard Library maintained by the Modelica Association.

Resistances and stray inductances of the machine refer to an m phase stator. The symmetry of the stator is assumed. For rotor asymmetries can be taken into account by different resistances and stray inductances in the d- and q-axis. The machine models take the following loss effects into account:

  • 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

See also

SM_ElectricalExcited, SM_ReluctanceRotor,

Parameters (30)

Jr

Value:

Type: Inertia (kg·m²)

Description: Rotor inertia

useSupport

Value: false

Type: Boolean

Description: Enable / disable (=fixed stator) support

Js

Value:

Type: Inertia (kg·m²)

Description: Stator inertia

useThermalPort

Value: false

Type: Boolean

Description: Enable / disable (=fixed temperatures) thermal port

p

Value:

Type: Integer

Description: Number of pole pairs (Integer)

fsNominal

Value:

Type: Frequency (Hz)

Description: Nominal frequency

TsOperational

Value:

Type: Temperature (K)

Description: Operational temperature of stator resistance

Rs

Value:

Type: Resistance (Ω)

Description: Stator resistance per phase at TRef

TsRef

Value:

Type: Temperature (K)

Description: Reference temperature of stator resistance

alpha20s

Value:

Type: LinearTemperatureCoefficient20 (¹/K)

Description: Temperature coefficient of stator resistance at 20 degC

effectiveStatorTurns

Value: 1

Type: Real

Description: Effective number of stator turns

Lssigma

Value:

Type: Inductance (H)

Description: Stator stray inductance

Lszero

Value: Lssigma

Type: Inductance (H)

Description: Stator zero inductance

L0

Value:

Type: SalientInductance

Description: Salient inductance of an unchorded coil

frictionParameters

Value:

Type: FrictionParameters

Description: Friction loss parameter record

statorCoreParameters

Value:

Type: CoreParameters

Description: Stator core loss parameter record; all parameters refer to stator side

strayLoadParameters

Value:

Type: StrayLoadParameters

Description: Stray load loss parameter record

Lmd

Value:

Type: Inductance (H)

Description: Stator main field inductance, d-axis

Lmq

Value:

Type: Inductance (H)

Description: Stator main field inductance, q-axis

useDamperCage

Value:

Type: Boolean

Description: Enable/disable damper cage

Lrsigmad

Value:

Type: Inductance (H)

Description: Rotor leakage inductance, d-axis, w.r.t. stator side

Lrsigmaq

Value: Lrsigmad

Type: Inductance (H)

Description: Rotor leakage inductance, q-axis, w.r.t. stator side

Rrd

Value:

Type: Resistance (Ω)

Description: Rotor resistance, d-axis, w.r.t. stator side

Rrq

Value: Rrd

Type: Resistance (Ω)

Description: Rotor resistance , q-axis, w.r.t. stator side

TrRef

Value:

Type: Temperature (K)

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

alpha20r

Value:

Type: LinearTemperatureCoefficient20 (¹/K)

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

TpmOperational

Value: 293.15

Type: Temperature (K)

Description: Operational temperature of permanent magnet

TrOperational

Value:

Type: Temperature (K)

Description: Operational temperature of (optional) damper cage

VsOpenCircuit

Value:

Type: Voltage (V)

Description: Open circuit RMS voltage per phase @ fsNominal

permanentMagnetLossParameters

Value:

Type: PermanentMagnetLossParameters

Description: Permanent magnet loss parameter record

Outputs (7)

phiMechanical

Default Value: flange.phi - internalSupport.phi

Type: Angle (rad)

Description: Mechanical angle of rotor against stator

wMechanical

Default Value: der(phiMechanical)

Type: AngularVelocity (rad/s)

Description: Mechanical angular velocity of rotor against stator

tauElectrical

Default Value: inertiaRotor.flange_a.tau

Type: Torque (N·m)

Description: Electromagnetic torque

tauShaft

Default Value: -flange.tau

Type: Torque (N·m)

Description: Shaft torque

powerBalance

Type: PowerBalanceSMPM

Description: Power balance

vs

Default Value: plug_sp.pin.v - plug_sn.pin.v

Type: Voltage[m] (V)

Description: Stator instantaneous voltages

is

Default Value: plug_sp.pin.i

Type: Current[m] (A)

Description: Stator instantaneous currents

Connectors (8)

flange

Type: Flange_a

Description: Shaft

support

Type: Flange_a

Description: Support at which the reaction torque is acting

plug_sp

Type: PositivePlug

Description: Positive plug of stator

plug_sn

Type: NegativePlug

Description: Negative plug of stator

thermalPort

Type: ThermalPortSMPM

Description: Thermal port of induction machines

internalThermalPort

Type: ThermalPortSMPM

internalSupport

Type: Support

ir

Type: RealOutput[2]

Description: Damper cage currents

Components (19)

L0

Type: SalientInductance

Description: Salient inductance of an unchorded coil

frictionParameters

Type: FrictionParameters

Description: Friction loss parameter record

statorCoreParameters

Type: CoreParameters

Description: Stator core loss parameter record; all parameters refer to stator side

strayLoadParameters

Type: StrayLoadParameters

Description: Stray load loss parameter record

powerBalance

Type: PowerBalanceSMPM

Description: Power balance

inertiaRotor

Type: Inertia

inertiaStator

Type: Inertia

fixed

Type: Fixed

stator

Type: SymmetricMultiPhaseWinding

Description: Symmetric stator winding including resistances, zero and stray inductances and core losses

thermalAmbient

Type: ThermalAmbientSMPM

groundS

Type: Ground

Description: Ground of stator magnetic circuit

airGap

Type: RotorSaliencyAirGap

groundR

Type: Ground

Description: Ground of rotor magnetic circuit

strayLoad

Type: StrayLoad

friction

Type: Friction

permanentMagnetLossParameters

Type: PermanentMagnetLossParameters

Description: Permanent magnet loss parameter record

short

Type: Short

Description: Magnetic connection in case the damper cage is not present

rotorCage

Type: SaliencyCageWinding

Description: Symmetric rotor cage winding including resistances and stray inductances

permanentMagnet

Type: PermanentMagnet

Description: Magnetic potential difference of permanent magnet

Used in Examples (8)

SMPM_Inverter

Modelica.Magnetic.FundamentalWave.Examples.BasicMachines

Starting of permanent magnet synchronous machine with inverter

SMPM_Inverter_MultiPhase

Modelica.Magnetic.FundamentalWave.Examples.BasicMachines

Starting of multi phase permanent magnet synchronous machine with inverter

SMPM_CurrentSource

Modelica.Magnetic.FundamentalWave.Examples.BasicMachines

Test example: PermanentMagnetSynchronousInductionMachine fed by current source

SMPM_VoltageSource

Modelica.Magnetic.FundamentalWave.Examples.BasicMachines

Test example: PermanentMagnetSynchronousInductionMachine fed by FOC

SMPM_Braking

Modelica.Magnetic.FundamentalWave.Examples.BasicMachines

Test example: PermanentMagnetSynchronousInductionMachine acting as brake

SMPM_OpenCircuit

Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.SynchronousMachines

Test example: PermanentMagnetSynchronousMachine with inverter

SMPM_Mains

Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.SynchronousMachines

Permanent magnet synchronous machine operated at mains with step torque load

SMPM_CurrentSource

Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.SynchronousMachines

Test example: PermanentMagnetSynchronousMachine fed by current source