WOLFRAM SYSTEM MODELER
PolyphaseInductancePolyphase inductance |
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Diagram
Wolfram Language
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SystemModel["Modelica.Magnetic.FundamentalWave.Examples.Components.PolyphaseInductance"]
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Information
This information is part of the Modelica Standard Library maintained by the Modelica Association.
This example compares an electric polyphase inductor with equivalent fundamental wave reluctance circuits,
one with reluctances individual for each phase (s) and the other with a common reluctance for all phases (m).
The phase inductance L and the magnetic fundamental wave reluctance R_m
for reluctances individual to the phases (s) and for a reluctance common to all phases (m) are related by:
R_ms = effectiveTurns^2 / L R_mm = effectiveTurns^2 / L * m / 2
The currents
resistor_e.i[1]resistor_s.i[1]resistor_m.i[1]
show the same waveforms and thus prove the equivalence of the different modelling approaches.
Note that the number of initial equations (which depends on the number of phases m, too) depends on either individual or common implementation of the reluctance.
Parameters (8)
| m |
Value: 3 Type: Integer Description: Number of phases |
|---|---|
| f |
Value: 1 Type: Frequency (Hz) Description: Supply frequency |
| VRMS |
Value: 100 Type: Voltage (V) Description: RMS supply voltage |
| R |
Value: 0.1 Type: Resistance (Ω) Description: Leader cable resistance |
| effectiveTurns |
Value: 5 Type: Real Description: Effective number of turns |
| L |
Value: 1 Type: Inductance (H) Description: Load inductance |
| R_ms |
Value: effectiveTurns ^ 2 / L Type: Reluctance (H⁻¹) Description: Individual equivalent magnetic reluctances |
| R_mm |
Value: m / 2 * effectiveTurns ^ 2 / L Type: Reluctance (H⁻¹) Description: Common equivalent magnetic reluctance |
Components (21)
 |
ground_e |
Type: Ground Description: Ground node |
|---|---|---|
|
ground_s |
Type: Ground Description: Ground node |
|
ground_m |
Type: Ground Description: Ground node |
 |
star_e |
Type: Star Description: Star-connection |
|
star_s |
Type: Star Description: Star-connection |
|
star_m |
Type: Star Description: Star-connection |
 |
voltageSource_e |
Type: SineVoltage Description: Polyphase sine voltage source |
|
voltageSource_s |
Type: SineVoltage Description: Polyphase sine voltage source |
|
voltageSource_m |
Type: SineVoltage Description: Polyphase sine voltage source |
 |
resistor_e |
Type: Resistor Description: Ideal linear electrical resistors |
|
resistor_s |
Type: Resistor Description: Ideal linear electrical resistors |
|
resistor_m |
Type: Resistor Description: Ideal linear electrical resistors |
 |
inductor_e |
Type: Inductor Description: Ideal linear electrical inductors |
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plugToPins_p |
Type: PlugToPins_p Description: Connect all (positive) Pins |
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plugToPins_n |
Type: PlugToPins_n Description: Connect all (negative) Pins |
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converter_s |
Type: SinglePhaseElectroMagneticConverter[m] Description: Single-phase electromagnetic converter |
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converter_m |
Type: PolyphaseElectroMagneticConverter Description: Polyphase electromagnetic converter |
 |
reluctance_m |
Type: Reluctance Description: Salient reluctance |
|
reluctance_s |
Type: Reluctance[m] Description: Salient reluctance |
 |
groundM_s |
Type: Ground[m] Description: Magnetic ground |
|
groundM_m |
Type: Ground Description: Magnetic ground |