.PowerSystems.Utilities.Transforms.j_abc

Information

The function j_abc(u) is a rotation of u by +90 degrees around the axis {1,1,1}.

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_abc*u = ([0,-1,1; 1,0,-1; -1,1,0]/sqrt(3))*u

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Interface

function j_abc
  extends Modelica.Icons.Function;
  input Real[3] u "vector (voltage, current)";
  output Real[3] y "rotated vector (voltage, current)";
end j_abc;