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WOLFRAM SYSTEM MODELER

SM_ReluctanceRotor

Synchronous reluctance machine with optional damper cage

Diagram

Wolfram Language

In[1]:=

SystemModel["Modelica.Magnetic.QuasiStatic.FundamentalWave.BasicMachines.SynchronousMachines.SM_ReluctanceRotor"]

Out[1]:=

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

Parameters (27)

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
TrOperational	Value: Type: Temperature (K) Description: Operational temperature of (optional) damper cage

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: PowerBalanceSMR 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 (9)

	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: ThermalPortSMR Description: Thermal port of induction machines
	internalThermalPort	Type: ThermalPortSMR Description: Thermal port of synchronous machine with reluctance rotor
	internalSupport	Type: Support Description: Support/housing flange of a one-dimensional rotational shaft
	ir	Type: ComplexOutput[2] Description: Damper cage currents
	damperCageLossPower	Type: RealOutput Description: Damper losses

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: PowerBalanceSMR Description: Power balance
	vs	Type: ComplexVoltage[m] Description: Complex stator voltage
	is	Type: ComplexCurrent[m] Description: Complex stator current
	inertiaRotor	Type: Inertia Description: 1D-rotational component with inertia
	inertiaStator	Type: Inertia Description: 1D-rotational component with inertia
	fixed	Type: Fixed Description: Flange fixed in housing at a given angle
	stator	Type: SymmetricPolyphaseWinding Description: Symmetric stator winding including resistances, zero and stray inductances and core losses
	thermalAmbient	Type: ThermalAmbientSMR Description: Thermal ambient for synchronous machine with reluctance rotor
	groundS	Type: Ground Description: Ground of stator magnetic circuit
	airGap	Type: RotorSaliencyAirGap Description: Air gap model with rotor saliency
	groundR	Type: Ground Description: Ground of rotor magnetic circuit
	strayLoad	Type: StrayLoad Description: Model of stray load losses dependent on current and speed
	friction	Type: Friction Description: Model of angular velocity dependent friction losses
	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