.Spot.ACdqo.Impedances.Impedance

Information

This model corresponds to ACdqo.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.

  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 ACdqo.Impedances.