SM_ElectricalExcitedElectrical excited synchronous machine with optional damper cage |
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Diagram
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
Parameters (35)
| 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 (11)
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flange |
Type: Flange_a Description: Shaft |
|---|---|---|
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support |
Type: Flange_a Description: Support at which the reaction torque is acting |
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plug_sp |
Type: PositivePlug Description: Positive plug of stator |
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plug_sn |
Type: NegativePlug Description: Negative plug of stator |
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thermalPort |
Type: ThermalPortSMEE Description: Thermal port of induction machines |
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internalThermalPort |
Type: ThermalPortSMEE |
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internalSupport |
Type: Support |
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ir |
Type: RealOutput[2] Description: Damper cage currents |
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irRMS |
Type: RealOutput Description: Damper cage RMS current |
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pin_ep |
Type: PositivePin Description: Positive pin of excitation |
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pin_en |
Type: NegativePin Description: Negative pin of excitation |
Components (20)
| L0 |
Type: SalientInductance Description: Salient inductance of an unchorded coil |
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|---|---|---|
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frictionParameters |
Type: FrictionParameters Description: Friction loss parameter record |
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statorCoreParameters |
Type: CoreParameters Description: Stator core loss parameter record; all parameters refer to stator side |
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strayLoadParameters |
Type: StrayLoadParameters Description: Stray load loss parameter record |
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powerBalance |
Type: PowerBalanceSMEE Description: Power balance |
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inertiaRotor |
Type: Inertia |
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inertiaStator |
Type: Inertia |
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fixed |
Type: Fixed |
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stator |
Type: SymmetricMultiPhaseWinding Description: Symmetric stator winding including resistances, zero and stray inductances and core losses |
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thermalAmbient |
Type: ThermalAmbientSMEE |
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groundS |
Type: Ground Description: Ground of stator magnetic circuit |
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airGap |
Type: RotorSaliencyAirGap |
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groundR |
Type: Ground Description: Ground of rotor magnetic circuit |
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strayLoad |
Type: StrayLoad |
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friction |
Type: Friction |
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brushParameters |
Type: BrushParameters Description: Brush loss parameter record |
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short |
Type: Short Description: Magnetic connection in case the damper cage is not present |
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rotorCage |
Type: SaliencyCageWinding Description: Symmetric rotor cage winding including resistances and stray inductances |
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excitation |
Type: SinglePhaseWinding Description: Excitation winding including resistance and stray inductance |
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brush |
Type: Brush |
Used in Examples (6)
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Modelica.Magnetic.FundamentalWave.Examples.BasicMachines ElectricalExcitedSynchronousInductionMachine starting direct on line |
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Modelica.Magnetic.FundamentalWave.Examples.BasicMachines Electrical excited multi phase synchronous machine operating as generator |
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Modelica.Magnetic.FundamentalWave.Examples.BasicMachines Electrical excited synchronous machine operating as generator |
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Modelica.Magnetic.FundamentalWave.Examples.BasicMachines Test example: ElectricalExcitedSynchronousInductionMachine with voltage controller |
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Modelica.Magnetic.FundamentalWave.Examples.BasicMachines Test example: ElectricalExcitedSynchronousInductionMachine with rectifier |
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Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.SynchronousMachines Electrical excited synchronous machine operating as generator |