.PowerSystems.AC1ph_DC.Impedances

Information

Contains lumped impedance models and can also be regarded as a collection of basic formulas. Shunts are part of a separate package.

General relations.

  r = R / R_base                  resistance
  x = 2*pi*f_nom*L/R_base         reactance
  g = G / G_base                  conductance
  b = (2*pi*f_nom*C) / G_base     susceptance
  G_base = 1/R_base

The reactance-matrix is

  x = [x_s, x_m
       x_m, x_s]

with the relations

  x1   = x_s - x_m,         stray reactance
  x0  = x_s + x_m,          zero reactance
  x_s = (x1 + x0)/2,        self reactance single conductor
  x_m = (x0 - x1)/2,        mutual reactance

Coupling.

  -x_s <  x_m <  x_s
  uncoupled limit:          x_m = 0,        x0 = x_s
  fully positive coupled:   x_m = x_s,      x0 = 2*x_s
  fully negative coupled:   x_m = -x_s,     x0 = 0

The resistance matrix is

  r = [r1, 0
       0,  r2]

The susceptance matrix is

  b = [ b_pg + b_pp, -b_pp
       -b_pp,         b_pg + b_pp]

where _pg denotes 'phase-to-ground' and _pp 'phase-to-phase' in analogy to the three-phase notation. More precisely (for a one-phase system) _pp means 'conductor-to-conductor'.

The corresponding conduction matrix is (in analogy to susceptance)

  g = [g_pg + g_pp, -g_pp
      -g_pp,         g_pg + g_pp]

Contents

Name	Description
Resistor	Resistor, 1-phase
Conductor	Conductor, 1-phase
Inductor	Inductor with series resistor, 1-phase
Capacitor	Capacitor with parallel conductor, 1-phase
Impedance	Impedance (inductive) with series resistor, 1-phase
Admittance	Admittance (capacitive) with parallel conductor, 1-phase
Varistor	Varistor, 1-phase
ResistorSym	Symmetrical capacitor with neutral access
CapacitorSym	Symmetrical capacitor with neutral access
DClink	DC-link with filter circuit
DClinkSym	Symmetrical DC-link with filter circuit and neutral access
Partials	Partial models