.PowerSystems.Utilities.Transforms.j_dq0

Information

The function j_dq0(u) is a projection of u onto the dq-plane and a rotation by +90 degrees around the axis {0,0,1}.

The notation is chosen in analogy to the expression

  j*omega*u

  j: imaginary unit
 (omega: angular frequency)
  u: complex vector (voltage or current).

The matrix expression corresponding to

  j*u

  J_dq0*u = [0,-1,0; 1,0,0; 0,0,0]*u

Note: If the argument u is 2-dimensional, then j_dq0(u) is the restriction of j_dq0(u) to the dq-plane.

up users guide

Interface

function j_dq0
  extends Modelica.Icons.Function;
  input Real[:] u "vector (voltage, current)";
  output Real[size(u, 1)] y "rotated vector (voltage, current)";
end j_dq0;