Reluctance

Constant magnetic reluctance: V_m = R_m·Φ.

  • magnetic
  • Modelica Standard Library
  • 2 ports
  • 1 parameter
BlockReluctanceKindreluctanceLibraryMagnetic

Description

A constant magnetic reluctance: the magnetic potential difference across it is proportional to the flux through it. Use it for an air gap or a linear core section in a lumped magnetic circuit.

Example

Magnetic circuits A 100-turn winding drives flux through an air gap and a core, next to magnetic sources and a variable reluctance.

1 VGroundR 1 ΩWinding 100 turnsCore fluxAir gapCoreMagnetic groundGap mmfmmf 100 AGround (mmf)R_m signalVariable reluctanceFlux (variable)Ground (variable)50 ASignal mmfGround (signal)Permeance 1 µWb/AFlux (permeance)Ground (permeance)Flux 1 mWbGround (flux)Reluctance 10⁶mmf acrossGround (reluctance)
In Gradara, select a Reluctance block and press F1, then choose Open example. It opens as a new model in My models, ready to run.

Also in this example:DC voltageStepGroundSine waveResistorPermeanceVariable reluctanceWindingMagnetic groundMMF sourceControlled MMF sourceFlux sourceFlux sensorMMF sensor

Ports

Conserving terminals 2

  • +port_pmagnetic

    Positive magnetic port. Flux entering port_p is counted as positive Φ.

  • −port_nmagnetic

    Negative magnetic port.

Parameters

  • ReluctanceR_m1000000 A/Wb

    ≥ 0

    Reluctance, in A/Wb (1/H). Use a positive value.

Equations

Modelica
V_m = port_p.V_m − port_n.V_m
V_m = R_m · Φ, with Φ = port_p.Φ

Implementation

Modelica Standard Library 4.1.0Modelica.Magnetic.FluxTubes.Basic.ConstantReluctance
MSL documentation

Assumptions and limitations

  • Linear: no saturation, hysteresis, or eddy currents.

Tips

  • An air gap of length l and area A has R_m = l / (μ0 · A).

See also

Select a block in Gradara and press F1 to open its page offline.