modelImpedance

Impedance (inductive) with series resistor, 3-phase dq0

Extends from Partials.ImpedBase (Impedance base, 3-phase dq0).

Information

This model corresponds to ACdq0.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 ACdq0.Impedances.

Parameters

TypeNameDefaultDescription
SIpu.Impedancez_abs1abs value of impedance
Realcos_phi0.1cos-phi of impedance
Realcpl0phase coupling x_m/x_s, -1/2 < cpl < 1
Parameter Scaling
BooleanpuUnits (from Nominal)true= true, if scaled with nom. values (pu), else scaled with 1 (SI)
Nominal
SI.VoltageV_nom (from Nominal)1nominal Voltage (= base for pu)
SI.ApparentPowerS_nom (from Nominal)1nominal Power (= base for pu)
SI.Frequencyf_nom (from NominalAC)system.f_nomnominal frequency
Initialization
Types.DynamicsdynType (from ImpedBase)system.dynTypetransient or steady-state model
PS.Voltagev_start (from ImpedBase)zeros(PS.n)start value of voltage drop
PS.Currenti_start (from ImpedBase)zeros(PS.n)start value of current

Connectors

TypeNameDefaultDescription
Ports.ACdq0_pterm_p (from Port_p_n)positive terminal
Ports.ACdq0_nterm_n (from Port_p_n)negative terminal

Components

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

Contents

NameDescription
acosprotected