Rewinding machine and a winding method for a web of absorbent substrate

A rewinding machine arranged to wind a web of absorbent substrate into multiple logs comprising a perforating module, a cutting module, a winding module and a control module, the web of absorbent substrate travelling into said modules according to a machine direction,

• wherein the perforating module is arranged to provide the web of absorbent substrate with regularly spaced perforation lines substantially transversally orientated relatively to the machine direction,
• wherein the cutting module is arranged to sever the web of absorbent substrate substantially transversally relatively to the machine direction,
• wherein the winding module is arranged to wind the web of absorbent substrate so as to produce logs of web of absorbent substrate, and
• wherein the control module is coupled to the perforating module and to the cutting module and controls said modules operations such that:
• at the transition phase between two consecutive logs, the control module is arranged to deactivate the perforating module and activate the cutting module from a first time corresponding to a log production cycle completed between 99.8% and 95% to a second time corresponding to a subsequent log production cycle completed between 0.2% and 5%, and
• out of transition phases, the control module activate the perforating module and deactivate the cutting module.