modelSM_PermanentMagnet

Permanent magnet synchronous machine with optional damper cage

Extends from Magnetic.FundamentalWave.BaseClasses.Machine (Base model of machines).

Information

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

TypeNameDefaultDescription
SI.Anglepi (from Machine)Modelica.Constants.pi
Integerm (from Machine)3Number of stator phases
SI.InertiaJr (from Machine)Rotor inertia
BooleanuseSupport (from Machine)falseEnable / disable (=fixed stator) support
SI.InertiaJs (from Machine)Stator inertia
BooleanuseThermalPort (from Machine)falseEnable / disable (=fixed temperatures) thermal port
Integerp (from Machine)Number of pole pairs (Integer)
SI.FrequencyfsNominal (from Machine)Nominal frequency
BooleanuseZeroSystem (from Machine)true= true, if zero current is explicitely computed
RealeffectiveStatorTurns (from Machine)1Effective number of stator turns
SI.VoltageVsOpenCircuitOpen circuit RMS voltage per phase @ fsNominal
Operational temperatures
SI.TemperatureTsOperational (from Machine)Operational temperature of stator resistance
SI.TemperatureTpmOperational293.15Operational temperature of permanent magnet
SI.TemperatureTrOperationalOperational temperature of (optional) damper cage
Nominal resistances and inductances
SI.ResistanceRs (from Machine)Stator resistance per phase at TRef
SI.TemperatureTsRef (from Machine)Reference temperature of stator resistance
Modelica.Electrical.Machines.Thermal.LinearTemperatureCoefficient20alpha20s (from Machine)Temperature coefficient of stator resistance at 20 degC
SI.InductanceLssigma (from Machine)Stator stray inductance
RealratioCommonStatorLeakage (from Machine)1Ratio of common stray inductance / total stray inductance of stator winding
SI.InductanceLszero (from Machine)LssigmaStator zero inductance
Magnetic.FundamentalWave.Types.SalientInductanceL0 (from Machine)Salient inductance of an unchorded coil
SI.InductanceLmdStator main field inductance, d-axis
SI.InductanceLmqStator main field inductance, q-axis
Losses
Modelica.Electrical.Machines.Losses.FrictionParametersfrictionParameters (from Machine)Friction loss parameter record
Modelica.Electrical.Machines.Losses.CoreParametersstatorCoreParameters (from Machine)Stator core loss parameter record; all parameters refer to stator side
Modelica.Electrical.Machines.Losses.StrayLoadParametersstrayLoadParameters (from Machine)Stray load loss parameter record
Modelica.Electrical.Machines.Losses.PermanentMagnetLossParameterspermanentMagnetLossParametersPermanent magnet loss parameter record
Nominal resistances and inductances › Damper cage
BooleanuseDamperCageEnable/disable damper cage
SI.InductanceLrsigmadRotor damper cage leakage inductance, d-axis, w.r.t. stator side
SI.InductanceLrsigmaqLrsigmadRotor damper cage leakage inductance, q-axis, w.r.t. stator side
SI.ResistanceRrdRotor damper cage resistance, d-axis, w.r.t. stator side
SI.ResistanceRrqRrdRotor damper cage resistance, q-axis, w.r.t. stator side
SI.TemperatureTrRefReference temperature of damper resistances in d- and q-axis
Modelica.Electrical.Machines.Thermal.LinearTemperatureCoefficient20alpha20rTemperature coefficient of damper resistances in d- and q-axis

Connectors

TypeNameDefaultDescription
Modelica.Mechanics.Rotational.Interfaces.Flange_aflange (from Machine)Shaft
Modelica.Mechanics.Rotational.Interfaces.Flange_asupport (from Machine)Support at which the reaction torque is acting
Modelica.Electrical.Polyphase.Interfaces.PositivePlugplug_sp (from Machine)Positive plug of stator
Modelica.Electrical.Polyphase.Interfaces.NegativePlugplug_sn (from Machine)Negative plug of stator
Modelica.Electrical.Machines.Interfaces.InductionMachines.PartialThermalPortInductionMachinesthermalPort (from Machine)Thermal port of induction machines
Modelica.Blocks.Interfaces.RealOutput[2]irDamper cage currents

Components

TypeNameDefaultDescription
SI.AnglephiMechanical (from Machine)flange.phi - internalSupport.phiMechanical angle of rotor against stator
SI.AngularVelocitywMechanical (from Machine)der(phiMechanical)Mechanical angular velocity of rotor against stator
SI.TorquetauElectrical (from Machine)inertiaRotor.flange_a.tauElectromagnetic torque
SI.TorquetauShaft (from Machine)-flange.tauShaft torque
Modelica.Electrical.Machines.Interfaces.InductionMachines.PartialPowerBalanceInductionMachinespowerBalance (from Machine)Power balance
SI.Voltage[m]vs (from Machine)plug_sp.pin.v - plug_sn.pin.vStator instantaneous voltages
SI.Current[m]is (from Machine)plug_sp.pin.iStator instantaneous currents
Modelica.Mechanics.Rotational.Components.InertiainertiaRotor (from Machine)
Modelica.Mechanics.Rotational.Components.InertiainertiaStator (from Machine)
Modelica.Mechanics.Rotational.Components.Fixedfixed (from Machine)
BasicMachines.Components.SymmetricPolyphaseWindingstator (from Machine)Symmetric stator winding including resistances, zero and stray inductances and core losses
Modelica.Electrical.Machines.Interfaces.InductionMachines.PartialThermalAmbientInductionMachinesthermalAmbient (from Machine)
Magnetic.FundamentalWave.Components.GroundgroundS (from Machine)Ground of stator magnetic circuit
Magnetic.FundamentalWave.BasicMachines.Components.RotorSaliencyAirGapairGap (from Machine)
Magnetic.FundamentalWave.Components.GroundgroundR (from Machine)Ground of rotor magnetic circuit
Modelica.Electrical.Machines.Losses.InductionMachines.StrayLoadstrayLoad (from Machine)
Modelica.Electrical.Machines.Losses.Frictionfriction (from Machine)
Magnetic.FundamentalWave.Components.ShortshortMagnetic connection in case the damper cage is not present
Magnetic.FundamentalWave.BasicMachines.Components.SaliencyCageWindingrotorCageSymmetric rotor cage winding including resistances and stray inductances
Components.PermanentMagnetpermanentMagnetMagnetic potential difference of permanent magnet