Winding

Couples an electrical winding of N turns to a magnetic circuit.

  • electrical
  • magnetic
  • Modelica Standard Library
  • 4 ports
  • 1 parameter
BlockWindingKindwindingLibraryMagnetic

Description

Couples an electrical winding of N turns to a magnetic circuit. The current drives a magnetomotive force N · i into the magnetic side, and the rate of change of flux induces the voltage on the electrical side. The coupling is lossless.

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 Winding 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 waveResistorReluctancePermeanceVariable reluctanceMagnetic groundMMF sourceControlled MMF sourceFlux sourceFlux sensorMMF sensor

Ports

Conserving terminals 4

  • +pelectrical

    Positive electrical pin. Current into p is the winding current i.

  • −nelectrical

    Negative electrical pin.

  • m+port_pmagnetic

    Positive magnetic port. Positive i raises port_p above port_n, driving flux out of port_p through the external circuit.

  • m−port_nmagnetic

    Negative magnetic port.

Parameters

  • TurnsN100

    ≥ 1

    Number of turns, ≥ 1.

Equations

Modelica
v = p.v − n.v, V_m = port_p.V_m − port_n.V_m
V_m = N · i
N · dΦ/dt = −v, with Φ = port_p.Φ (flux entering port_p)

Implementation

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

Assumptions and limitations

  • No winding resistance or leakage inductance. Add a Resistor in series for copper loss.

Tips

  • With a reluctance R_m between port_p and port_n, the winding looks like an inductor of N² / R_m from the electrical side.
  • Every magnetic circuit needs a Magnetic ground.

See also

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