Hi again Brian,
In a mechanical system, the amount of back twist has nothing to do with the cable lay as it is nothing more than the relationship between the rotation of the carousel and the axis of rotation of the cradles. Thus there is no effect between the amount of back twist and the final cable lay as long as the components making up the cable cannot change their length of lay and the components cannot flatten by virtue of cradle tension.
In your case however, you are cabling stranded wire and the degree of back twist is also applied to the length of lay of the stranded wires. This in itself could change the diameter of the strands slightly and is the basic reason why telephone cables were always rigidly stranded and cabled left, left, left (Units, Groups, Cables.) Thus the individual components of the telephone cable were always tightening. In those products however, the small change in the diameter of the components and the change in the length of lay was not even noticed in terms of the final and slightly deformable cable diameter.
Again, in your case, the precise nature of your cabling process may show a small but measurable change in the final cable diameter as explained previously. If you are using a single or dual wheel capstan, and length of lay could change and the line speed could change slightly. This then would show as a small change in the application angle. (Wrap angle.) Perhaps this is what you are seeing.
While you can relate the cable diameter, the cable lay, the direction of cable lay, the strand diameter, the direction strand lay and the percentage of back twist together, the amount the strand deforms (Flattens.) when applied to the cable due to the backtwist effect is a true unknown. The tension in each strand also has an effect here.
Thus it would be best to develop a simple, empirically determined table for this cabling process.
Kindest regards,
Peter J. Stewart-Hay
Principal
Stewart-Hay Associates
www.Stewart-Hay.com