modelImpedance

Impedance (inductive) with series resistor, 3-phase abc

Extends from Partials.ImpedBase (Impedance base, 3-phase abc).

Information

This model corresponds to ACabc.Inductor, but uses a different determination of the coefficients.
Instead of x_s, x_m, and r the parameters z_abs, cos(phi), and x_o are used.

Relations:

  z = Z / R_base
  z_abs = |z|
  r = real(z) = |z|*cos(phi)           resistance
  x = imag(z) = |z|*sin(phi)           inductance dq-components

With

  cpl = x_m/x_s, -1/2 <  cpl <  1      coupling coefficient

we have

  x0 = x*(1 + 2*cpl)/(1 - cpl)         inductance o-component

and

  x_s = (2*x + x0)/3 = x/(1 - cpl)     self inductance
  x_m = -(x - x0)/3 = x*cpl/(1 - cpl)  mutual inductance

Coupling:

  cpl = x_m/x_s     coupling coefficient, -1/2 <  cpl <  1
  cpl >  0        positive coupling (example lines)
  cpl <  0        negative coupling (example machine windings)
  cpl = (x0/x - 1)/(x0/x + 2)

More info see package ACabc.Impedances.

Parameters

TypeNameDefaultDescription
BooleanstIni_en (from ImpedBase)trueenable steady-state initial equation
SIpu.Impedancez_abs1abs value of impedance
Realcos_phi0.1cos-phi of impedance
Realcpl0phase coupling x_m/x_s, -1/2 < cpl < 1
Nominal
Base.Types.Unitsunits (from Nominal)Types.puSI | pu
SI.VoltageV_nom (from Nominal)1nom Voltage (= base if pu)
SI.ApparentPowerS_nom (from Nominal)1nom Power (= base if pu)
SI.Frequencyf_nom (from NominalAC)system.f_nomnom frequency

Connectors

TypeNameDefaultDescription
Base.Interfaces.ACabc_pterm_p (from Port_p_n)positive terminal
Base.Interfaces.ACabc_nterm_n (from Port_p_n)negative terminal

Components

TypeNameDefaultDescription
SI.Voltagev (from ImpedBase)
SI.Currenti (from ImpedBase)

Contents

NameDescription
acosprotected