The ring spinning technology is widely used in the textile industry to produce high-quality yarn. One of the challenges for higher productivity is the limited spindle speed due to friction in its conventional ring/traveler twisting system. However, it was recently shown that a superconducting magnetic bearing twisting system might overcome this limitation due to significantly reduced friction, which allows the use of higher spindle speeds and thereby increases productivity.

To analyze the impact of speed increments on the yarn formation, it is crucial to model the yarn balloon dynamics. This is of particular importance as new challenges arise for such high-speed processes, including the increase in yarn tension due to higher centrifugal forces and increased air resistance of the yarn itself.

Therefore, in this work, a model based on a chain of springs and masses as an alternative to traditional continuous models was developed. In the proposed model, each mass corresponds to a yarn segment, while the springs represent the interactions between adjacent segments. This discrete approach allows for a simplified simulation of the three-dimensional yarn balloon dynamics, leading to a reduced computational load, which allows to analyze the yarn path more easily under different conditions.