WOLFRAM SYSTEMMODELER

SM_ElectricalExcited

Electrical excited synchronous machine with optional damper cage

Diagram

Wolfram Language

In[1]:=
SystemModel["Modelica.Magnetic.QuasiStatic.FundamentalWave.BasicMachines.SynchronousMachines.SM_ElectricalExcited"]
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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
  • heat losses in the temperature dependent excitation winding resistance
  • optional, when enabled: heat losses in the temperature dependent damper cage resistances
  • brush losses in the excitation circuit
  • friction losses
  • core losses (only eddy current losses, no hysteresis losses)
  • stray load losses

See also

SM_PermanentMagnet, SM_ReluctanceRotor, Magnetic.FundamentalWave.BasicMachines.SM_PermanentMagnet, Magnetic.FundamentalWave.BasicMachines.SM_ElectricalExcited, Magnetic.FundamentalWave.BasicMachines.SM_ReluctanceRotor,

Parameters (33)

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

TeOperational

Value:

Type: Temperature (K)

Description: Operational excitation temperature

VsNominal

Value:

Type: Voltage (V)

Description: Nominal stator voltage

IeOpenCircuit

Value:

Type: Current (A)

Description: Open circuit excitation current @ nominal voltage and frequency

Re

Value:

Type: Resistance (Ω)

Description: Warm excitation resistance

TeRef

Value:

Type: Temperature (K)

Description: Reference temperature of excitation resistance

alpha20e

Value:

Type: LinearTemperatureCoefficient20 (¹/K)

Description: Temperature coefficient of excitation resistance

brushParameters

Value:

Type: BrushParameters

Description: Brush loss parameter record

Outputs (12)

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: PowerBalanceSMEE

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

ve

Default Value: pin_ep.v - pin_en.v

Type: Voltage (V)

Description: Excitation voltage

ie

Default Value: pin_ep.i

Type: Current (A)

Description: Excitation current

Connectors (10)

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: ThermalPortSMEE

Description: Thermal port of induction machines

internalThermalPort

Type: ThermalPortSMEE

internalSupport

Type: Support

ir

Type: ComplexOutput[2]

Description: Damper cage currents

pin_ep

Type: PositivePin

Description: Positive pin of excitation

pin_en

Type: NegativePin

Description: Negative pin of excitation

Components (22)

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: PowerBalanceSMEE

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: ThermalAmbientSMEE

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

brushParameters

Type: BrushParameters

Description: Brush 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

excitation

Type: QuasiStaticAnalogWinding

Description: Excitation winding including resistance and stray inductance

brush

Type: Brush

Used in Examples (1)

SMEE_Generator

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

Electrical excited synchronous machine operating as generator