functionrotation_dq

Rotation matrix dq

Extends from Icons.Function (Function icon).

Information

The function rotation_dq calculates the matrix R_dq that is the restriction of R_dqo from dqo to dq.

The matrix R_dqo rotates dqo variables around the o-axis in dqo-space with arbitrary angle theta.

It takes the form

                 [cos(theta), -sin(theta), 0]
  R_dqo(theta) = [sin(theta),  cos(theta), 0]
                 [  0,           0,        1]

and has the real eigenvector

  {0, 0, 1}

in the dqo reference-frame.

Coefficient matrices of the form (symmetrical systems)

      [x, 0, 0 ]
  X = [0, x, 0 ]
      [0, 0, xo]

are invariant under transformations R_dqo

The connection between R_dqo and R_abc is the following

  R_dqo = P0*R_abc*P0'.

with P0 the orthogonal transform 'Transforms.P0'.

Type	Name	Default	Description
SI.Angle	theta		rotation angle

Type	Name	Default	Description
Real	R_dq		rotation matrix