WOLFRAM SYSTEM MODELER
SynchronousMachineDataComputes machine parameter from usual datasheet |
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Wolfram Language
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SystemModel["Modelica.Electrical.Machines.Utilities.SynchronousMachineData"]
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Information
This information is part of the Modelica Standard Library maintained by the Modelica Association.
The parameters of the synchronous machine model with electrical excitation (and damper) are calculated from parameters normally given in a technical description, according to the standard EN 60034-4:2008 Appendix C.
Parameters (47)
| SNominal |
Value: Type: ApparentPower (V⋅A) Description: Nominal apparent power |
|---|---|
| VsNominal |
Value: Type: Voltage (V) Description: Nominal stator voltage per phase |
| IsNominal |
Value: SNominal / (3 * VsNominal) Type: Current (A) Description: Nominal stator current per phase |
| ZReference |
Value: VsNominal / IsNominal Type: Impedance (Ω) Description: Reference impedance |
| fsNominal |
Value: Type: Frequency (Hz) Description: Nominal stator frequency |
| omega |
Value: 2 * pi * fsNominal Type: AngularVelocity (rad/s) Description: Nominal angular frequency |
| IeOpenCircuit |
Value: Type: Current (A) Description: Open circuit excitation current @ nominal voltage and frequency |
| effectiveStatorTurns |
Value: 1 Type: Real Description: Effective number of stator turns |
| turnsRatio |
Value: sqrt(2) * VsNominal / (omega * Lmd * IeOpenCircuit) Type: Real Description: Stator current / excitation current |
| x0 |
Value: Type: Real Description: Stator stray inductance per phase (approximately zero impedance) [pu] |
| xd |
Value: Type: Real Description: Synchronous reactance per phase, d-axis [pu] |
| xq |
Value: Type: Real Description: Synchronous reactance per phase, q-axis [pu] |
| xdTransient |
Value: Type: Real Description: Transient reactance per phase, d-axis [pu] |
| xdSubtransient |
Value: Type: Real Description: Subtransient reactance per phase, d-axis [pu] |
| xqSubtransient |
Value: Type: Real Description: Subtransient reactance per phase, q-axis [pu] |
| Ta |
Value: Type: Time (s) Description: Armature time constant |
| Td0Transient |
Value: Type: Time (s) Description: Open circuit field time constant Td0' |
| Td0Subtransient |
Value: Type: Time (s) Description: Open circuit subtransient time constant Td0'', d-axis |
| Tq0Subtransient |
Value: Type: Time (s) Description: Open circuit subtransient time constant Tq0'', q-axis |
| TsSpecification |
Value: Type: Temperature (K) Description: Specification temperature of stator resistance |
| 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 |
| TrSpecification |
Value: Type: Temperature (K) Description: Specification temperature of (optional) damper cage |
| 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 |
| TeSpecification |
Value: Type: Temperature (K) Description: Specification excitation temperature |
| TeRef |
Value: Type: Temperature (K) Description: Reference temperature of excitation resistance |
| alpha20e |
Value: Type: LinearTemperatureCoefficient20 (1/K) Description: Temperature coefficient of excitation resistance |
| xmd |
Value: xd - x0 Type: Real Description: Main field reactance per phase, d-axis [pu] |
| xmq |
Value: xq - x0 Type: Real Description: Main field reactance per phase, q-axis [pu] |
| xe |
Value: xmd ^ 2 / (xd - xdTransient) Type: Real Description: Excitation reactance [pu] |
| xrd |
Value: xmd ^ 2 / (xdTransient - xdSubtransient) * (1 - xmd / xe) ^ 2 + xmd ^ 2 / xe Type: Real Description: Damper reactance per phase, d-axis [pu] |
| xrq |
Value: xmq ^ 2 / (xq - xqSubtransient) Type: Real Description: Damper reactance per phase, d-axis [pu] |
| rs |
Value: 2 / (1 / xdSubtransient + 1 / xqSubtransient) / (omega * Ta) Type: Real Description: Stator resistance per phase at specification temperature [pu] |
| rrd |
Value: (xrd - xmd ^ 2 / xe) / (omega * Td0Subtransient) Type: Real Description: Damper resistance per phase at specification temperature, d-axis [pu] |
| rrq |
Value: xrq / (omega * Tq0Subtransient) Type: Real Description: Damper resistance per phase at specification temperature, q-axis [pu] |
| re |
Value: xe / (omega * Td0Transient) Type: Real Description: Excitation resistance per phase at specification temperature [pu] |
| Rs |
Value: Machines.Thermal.convertResistance(rs * ZReference, TsSpecification, alpha20s, TsRef) Type: Resistance (Ω) Description: Stator resistance per phase at TRef |
| Lssigma |
Value: x0 * ZReference / omega Type: Inductance (H) Description: Stator stray inductance per phase |
| Lmd |
Value: xmd * ZReference / omega Type: Inductance (H) Description: Main field inductance per phase in d-axis |
| Lmq |
Value: xmq * ZReference / omega Type: Inductance (H) Description: Main field inductance per phase in q-axis |
| Lrsigmad |
Value: (xrd - xmd) * ZReference / omega Type: Inductance (H) Description: Damper stray inductance in d-axis |
| Lrsigmaq |
Value: (xrq - xmq) * ZReference / omega Type: Inductance (H) Description: Damper stray inductance in q-axis |
| Rrd |
Value: Machines.Thermal.convertResistance(rrd * ZReference, TrSpecification, alpha20r, TrRef) Type: Resistance (Ω) Description: Damper resistance in d-axis at TRef |
| Rrq |
Value: Machines.Thermal.convertResistance(rrq * ZReference, TrSpecification, alpha20r, TrRef) Type: Resistance (Ω) Description: Damper resistance in q-axis at TRef |
| Re |
Value: 3 / 2 * turnsRatio ^ 2 * Machines.Thermal.convertResistance(re * ZReference, TeSpecification, alpha20e, TeRef) Type: Resistance (Ω) Description: Excitation resistance at TRef |
| sigmae |
Value: 1 - xmd / xe Type: Real Description: Stray fraction of total excitation inductance |
Used in Examples (10)
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Modelica.Electrical.Machines.Examples.SynchronousMachines Test example: ElectricalExcitedSynchronousMachine starting direct on line |
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Modelica.Electrical.Machines.Examples.SynchronousMachines Test example: ElectricalExcitedSynchronousMachine as Generator |
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Modelica.Electrical.Machines.Examples.SynchronousMachines Test example: ElectricalExcitedSynchronousMachine with voltage controller |
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Modelica.Electrical.Machines.Examples.SynchronousMachines Test example: ElectricalExcitedSynchronousMachine with rectifier |
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Modelica.Magnetic.FundamentalWave.Examples.BasicMachines.SynchronousMachines.ComparisonPolyphase Electrical excited polyphase synchronous machine operating as generator |
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Modelica.Magnetic.FundamentalWave.Examples.BasicMachines.SynchronousMachines ElectricalExcitedSynchronousMachine starting direct on line |
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Modelica.Magnetic.FundamentalWave.Examples.BasicMachines.SynchronousMachines Electrical excited synchronous machine operating as generator |
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Modelica.Magnetic.FundamentalWave.Examples.BasicMachines.SynchronousMachines Test example: ElectricalExcitedSynchronousMachine with voltage controller |
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Modelica.Magnetic.FundamentalWave.Examples.BasicMachines.SynchronousMachines Test example: ElectricalExcitedSynchronousMachine with rectifier |
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Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.SynchronousMachines Electrical excited synchronous machine operating as generator |