PolyphaseInductance

Polyphase inductance

Diagram

Information

This information is part of the Modelica Standard Library maintained by the Modelica Association.

This example compares a quasi static electric polyphase inductor with an equivalent quasi static fundamental wave reluctance circuit. The phase inductance L and the magnetic fundamental wave reluctance R_m are related by:

R_m = m * effectiveTurns^2 / 2 / L

The real parts

  • resistor_e.i[1].re
  • resistor_m.i[1].re

and the imaginary parts

  • resistor_e.i[1].im
  • resistor_m.i[1].im

of the two currents show the same result and thus prove the equivalence of the two different modelling approaches.

Parameters (7)

m

Value: 5

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: 1E-5

Type: Resistance (Ω)

Description: Resistance

L

Value: 1

Type: Inductance (H)

Description: Load inductance

effectiveTurns

Value: 5

Type: Real

Description: Effective number of turns

R_m

Value: m * effectiveTurns ^ 2 / 2 / L

Type: Reluctance (H⁻¹)

Description: Equivalent magnetic reluctance

Outputs (2)

Ie

Default Value: resistor_e.i[1]

Type: ComplexCurrent

Description: Current of electric representation

Im

Default Value: resistor_m.i[1]

Type: ComplexCurrent

Description: Current of magnetic representation

Components (14)

Ie

Type: ComplexCurrent

Description: Current of electric representation

Im

Type: ComplexCurrent

Description: Current of magnetic representation

ground_e

Type: Ground

ground_m

Type: Ground

star_e

Type: Star

star_m

Type: Star

voltageSource_e

Type: VoltageSource

voltageSource_m

Type: VoltageSource

resistor_e

Type: Resistor

resistor_m

Type: Resistor

inductor_e

Type: Inductor

converter_m

Type: PolyphaseElectroMagneticConverter

reluctance_m

Type: Reluctance

groundM_m

Type: Ground