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