SM_PermanentMagnet

Permanent magnet synchronous machine with optional damper cage

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

Parameters (29)

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)

	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: 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
	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
	vs	Type: ComplexVoltage[m] Description: Complex stator voltage
	is	Type: ComplexCurrent[m] Description: Complex stator current
	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 (4)

	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
	SMPM_MTPA Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.SynchronousMachines Test example: PermanentMagnetSynchronousMachine, investigating maximum torque per Amps