WOLFRAM SYSTEM MODELER

SM_ReluctanceRotor

Reluctance machine with optional damper cage

Diagram

Wolfram Language

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

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

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

See also

SM_ElectricalExcited, SM_PermanentMagnet,

Parameters (32)

m

Value: 3

Type: Integer

Description: Number of stator phases

Jr

Type: Inertia (kg⋅m²)

Description: Rotor inertia

useSupport

Value: false

Type: Boolean

Description: Enable / disable (=fixed stator) support

Js

Type: Inertia (kg⋅m²)

Description: Stator inertia

useThermalPort

Value: false

Type: Boolean

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

p

Type: Integer

Description: Number of pole pairs (Integer)

fsNominal

Type: Frequency (Hz)

Description: Nominal frequency

TsOperational

Type: Temperature (K)

Description: Operational temperature of stator resistance

Rs

Type: Resistance (Ω)

Description: Stator resistance per phase at TRef

TsRef

Type: Temperature (K)

Description: Reference temperature of stator resistance

alpha20s

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

Type: Inductance (H)

Description: Stator stray inductance

ratioCommonStatorLeakage

Value: 1

Type: Real

Description: Ratio of common stray inductance / total stray inductance of stator winding

Lszero

Value: Lssigma

Type: Inductance (H)

Description: Stator zero inductance

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

Replaceable Component

Type: PowerBalanceSMR

Description: Power balance

thermalAmbient

Replaceable Component

Type: ThermalAmbientSMR

Description: Thermal ambient for synchronous machine with reluctance rotor

thermalPort

Replaceable Component

Type: ThermalPortSMR

Description: Thermal port of induction machines

TrOperational

Type: Temperature (K)

Description: Operational temperature of (optional) damper cage

Lmd

Type: Inductance (H)

Description: Stator main field inductance, d-axis

Lmq

Type: Inductance (H)

Description: Stator main field inductance, q-axis

useDamperCage

Type: Boolean

Description: Enable/disable damper cage

Lrsigmad

Type: Inductance (H)

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

Lrsigmaq

Value: Lrsigmad

Type: Inductance (H)

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

Rrd

Type: Resistance (Ω)

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

Rrq

Value: Rrd

Type: Resistance (Ω)

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

TrRef

Type: Temperature (K)

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

alpha20r

Type: LinearTemperatureCoefficient20 (1/K)

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

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: PowerBalanceSMR

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 (6)

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

ir

Type: RealOutput[2]

Description: Damper cage currents

Components (17)

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

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

Used in Examples (3)

SMR_Inverter_Polyphase

Modelica.Magnetic.FundamentalWave.Examples.BasicMachines.SynchronousMachines.ComparisonPolyphase

Starting of polyphase synchronous reluctance machine with inverter

SMR_Inverter

Modelica.Magnetic.FundamentalWave.Examples.BasicMachines.SynchronousMachines

Starting of synchronous reluctance machine with inverter

SMR_CurrentSource

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

Test example: Synchronous reluctance machine fed by current source