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Winding is an integral operation in almost every web-handling process. Center winding is suitable and a general scheme in winding systems. However, the internal stresses within center-wound rolls can cause damage such as buckling, spoking, cinching, etc. Wound-roll quality and performance are known to be related to distribution of in-roll stresses. It is therefore necessary to analyze the relationships between taper tension in the winding section and internal stress distribution within center-wound roll to prevent winding failure (starring, buckling, telescoping, etc.). In this paper, a new taper-tension-control method for producing high-quality wound roll is developed. The new method is induced from analyzing the winding mechanism by using the stress model in center-wound rolls, taper-tension profile telescoping relationship, and taper-tension-type internal-stress relationship, etc. Auto taper-tension profile making method for avoiding the damage (telescoping, starring, etc.) is presented. The experimental results show that the proposed method is very useful.