Olle,
Your case is easy, as the shape is already flat. Just export to DWG as a 3D model, and the origin remains in the same place. Basically, as DWG files go, all are 3D files, there is no separate 2D DWG file format.
So, if, in SU, you draw 2D shapes flat on the ground, and export it as a 3D model, or a 2D drawing viewed from the top in parallel projection, the contents will be essentially the same, except that the 2D export does not contain faces if your model has any, and that the origin is placed in the middle of the viewing plane.
A real 3D model, when exported to a 2D file, however, is exported as a vector image consisting of lines that have been projected on the viewing plane.
Anssi