functionj_abc
Rotation(pi/2) of vector around {1,1,1} and projection on orth plane
Extends from Modelica.Icons.Function (Icon for functions).
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*uused in complex plane with
j: imaginary unit (omega: angular frequency) u: complex vector (voltage or current).
The matrix expression corresponding to
j*uis
J_abc*u = ([0,-1,1; 1,0,-1; -1,1,0]/sqrt(3))*u
Inputs
| Type | Name | Default | Description |
|---|---|---|---|
| Real | u | vector (voltage, current) |
Outputs
| Type | Name | Default | Description |
|---|---|---|---|
| Real | y | rotated vector (voltage, current) |