SM_PermanentMagnetPermanent magnet synchronous machine with optional damper cage |
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Diagram
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 and the supply are 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, Magnetic.FundamentalWave.BasicMachines.SM_PermanentMagnet, Magnetic.FundamentalWave.BasicMachines.SM_ElectricalExcited, Magnetic.FundamentalWave.BasicMachines.SM_ReluctanceRotor,
Parameters (30)
| m |
Value: 3 Type: Integer Description: Number of stator phases |
|---|---|
| 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 per phase |
| 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 per phase, d-axis |
| Lmq |
Value: Type: Inductance (H) Description: Stator main field inductance per phase, 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 (10)
| gammas |
Default Value: airGap.gammas Type: Angle (rad) Description: Angle of stator reference frame |
|---|---|
| gammar |
Default Value: airGap.gammar Type: Angle (rad) Description: Angle of stator reference frame |
| gamma |
Default Value: airGap.gamma Type: Angle (rad) Description: Electrical angle between stator and rotor |
| 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: ComplexVoltage[m] Description: Complex stator voltage |
| is |
Default Value: plug_sp.pin.i Type: ComplexCurrent[m] Description: Complex stator current |
Connectors (8)
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flange |
Type: Flange_a Description: Shaft |
|---|---|---|
|
support |
Type: Flange_a Description: Support at which the reaction torque is acting |
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plug_sp |
Type: PositivePlug Description: Positive plug of stator |
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plug_sn |
Type: NegativePlug Description: Negative plug of stator |
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thermalPort |
Type: ThermalPortSMPM Description: Thermal port of induction machines |
|
internalThermalPort |
Type: ThermalPortSMPM |
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internalSupport |
Type: Support |
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ir |
Type: ComplexOutput[2] Description: Damper cage currents |
Components (21)
| L0 |
Type: SalientInductance Description: Salient inductance of an unchorded coil |
|
|---|---|---|
 |
frictionParameters |
Type: FrictionParameters Description: Friction loss parameter record |
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statorCoreParameters |
Type: CoreParameters Description: Stator core loss parameter record; all parameters refer to stator side |
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strayLoadParameters |
Type: StrayLoadParameters Description: Stray load loss parameter record |
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powerBalance |
Type: PowerBalanceSMPM Description: Power balance |
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vs |
Type: ComplexVoltage[m] Description: Complex stator voltage |
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is |
Type: ComplexCurrent[m] Description: Complex stator current |
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inertiaRotor |
Type: Inertia |
|
inertiaStator |
Type: Inertia |
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fixed |
Type: Fixed |
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stator |
Type: SymmetricPolyphaseWinding Description: Symmetric stator winding including resistances, zero and stray inductances and core losses |
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thermalAmbient |
Type: ThermalAmbientSMPM |
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groundS |
Type: Ground Description: Ground of stator magnetic circuit |
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airGap |
Type: RotorSaliencyAirGap |
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groundR |
Type: Ground Description: Ground of rotor magnetic circuit |
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strayLoad |
Type: StrayLoad |
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friction |
Type: Friction |
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permanentMagnetLossParameters |
Type: PermanentMagnetLossParameters Description: Permanent magnet loss parameter record |
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short |
Type: Short Description: Magnetic connection in case the damper cage is not present |
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rotorCage |
Type: SaliencyCageWinding Description: Symmetric rotor cage winding including resistances and stray inductances |
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permanentMagnet |
Type: PermanentMagnet Description: Magnetic potential difference of permanent magnet |
Used in Examples (4)
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Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.SynchronousMachines Test example: PermanentMagnetSynchronousMachine with inverter |
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Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.SynchronousMachines Permanent magnet synchronous machine operated at mains with step torque load |
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Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.SynchronousMachines Test example: PermanentMagnetSynchronousMachine fed by current source |
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Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.SynchronousMachines Test example: PermanentMagnetSynchronousMachine, investigating maximum torque per Amps |