modelPolyphaseInductance

Polyphase inductance

Extends from Modelica.Icons.Example (Icon for runnable examples).

Information

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

TypeNameDefaultDescription
Integerm3Number of phases
SI.Frequencyf1Supply frequency
SI.VoltageVRMS100RMS supply voltage
SI.ResistanceR0.1Leader cable resistance
RealeffectiveTurns5Effective number of turns
SI.InductanceL1Load inductance
SI.ReluctanceR_mseffectiveTurns^2/LIndividual equivalent magnetic reluctances
SI.ReluctanceR_mmm/2*effectiveTurns^2/LCommon equivalent magnetic reluctance

Components

TypeNameDefaultDescription
Electrical.Analog.Basic.Groundground_e
Electrical.Analog.Basic.Groundground_s
Electrical.Analog.Basic.Groundground_m
Electrical.Polyphase.Basic.Starstar_e
Electrical.Polyphase.Basic.Starstar_s
Electrical.Polyphase.Basic.Starstar_m
Electrical.Polyphase.Sources.SineVoltagevoltageSource_e
Electrical.Polyphase.Sources.SineVoltagevoltageSource_s
Electrical.Polyphase.Sources.SineVoltagevoltageSource_m
Electrical.Polyphase.Basic.Resistorresistor_e
Electrical.Polyphase.Basic.Resistorresistor_s
Electrical.Polyphase.Basic.Resistorresistor_m
Modelica.Electrical.Polyphase.Basic.Inductorinductor_e
Electrical.Polyphase.Basic.PlugToPins_pplugToPins_p
Electrical.Polyphase.Basic.PlugToPins_nplugToPins_n
Modelica.Magnetic.FundamentalWave.Components.SinglePhaseElectroMagneticConverter[m]converter_s
Magnetic.FundamentalWave.Components.PolyphaseElectroMagneticConverterconverter_m
Magnetic.FundamentalWave.Components.Reluctancereluctance_m
Modelica.Magnetic.FundamentalWave.Components.Reluctance[m]reluctance_s
Modelica.Magnetic.FundamentalWave.Components.Ground[m]groundM_s
Magnetic.FundamentalWave.Components.GroundgroundM_m