WOLFRAM SYSTEM MODELER

SM_ElectricalExcited

Electrical excited synchronous machine with optional damper cage

Diagram

Wolfram Language

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SystemModel["Modelica.Magnetic.FundamentalWave.BasicMachines.SynchronousMachines.SM_ElectricalExcited"]
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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
  • 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,

Parameters (36)

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

Lszero

Value: Lssigma

Type: Inductance (H)

Description: Stator zero inductance

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, d-axis

Lmq

Value:

Type: Inductance (H)

Description: Stator main field inductance, 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

sigmae

Value:

Type: Real

Description: Stray fraction of total excitation inductance

brushParameters

Value:

Type: BrushParameters

Description: Brush loss parameter record

Outputs (9)

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: Voltage[m] (V)

Description: Stator instantaneous voltages

is

Default Value: plug_sp.pin.i

Type: Current[m] (A)

Description: Stator instantaneous currents

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 (12)

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

Description: Thermal port of synchronous machine with electrical excitation

internalSupport

Type: Support

Description: Support/housing flange of a one-dimensional rotational shaft

ir

Type: RealOutput[2]

Description: Damper cage currents

irRMS

Type: RealOutput

Description: Damper cage RMS current

pin_ep

Type: PositivePin

Description: Positive pin of excitation

pin_en

Type: NegativePin

Description: Negative pin of excitation

damperCageLossPower

Type: RealOutput

Description: Damper losses

Components (20)

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

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: ThermalAmbientSMEE

Description: Thermal ambient for synchronous machine with electrical excitation

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

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: SinglePhaseWinding

Description: Excitation winding including resistance and stray inductance

brush

Type: Brush

Description: Model considering voltage drop of carbon brushes

Used in Examples (6)

SMEE_Generator_Polyphase

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

Electrical excited polyphase synchronous machine operating as generator

SMEE_DOL

Modelica.Magnetic.FundamentalWave.Examples.BasicMachines.SynchronousMachines

ElectricalExcitedSynchronousMachine starting direct on line

SMEE_Generator

Modelica.Magnetic.FundamentalWave.Examples.BasicMachines.SynchronousMachines

Electrical excited synchronous machine operating as generator

SMEE_LoadDump

Modelica.Magnetic.FundamentalWave.Examples.BasicMachines.SynchronousMachines

Test example: ElectricalExcitedSynchronousMachine with voltage controller

SMEE_Rectifier

Modelica.Magnetic.FundamentalWave.Examples.BasicMachines.SynchronousMachines

Test example: ElectricalExcitedSynchronousMachine with rectifier

SMEE_Generator

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

Electrical excited synchronous machine operating as generator