Control of Short-Wave Length Irregularity of Slivers

Abstract

This article inquires theoretically into the transfer function of the servo draft system and into the influence of fiber length on draft control.
Figure 1 illustrates the existing model roller system. Its differential equation is given by formula (1).
The transfer function of the servo draft system is obtainable thus:
ΔN₁(s)=1/D(1-sT₂/1-sT₁)ΔN₂(s)-N₁/v₁(1/1+sT₁)ΔU₁(s)
This article discusses, with the use of Bode diagrams (Figs. 5, 6, 7, 8 and 9), the influence of fiber length on ΔN₂(s) and ΔU₁(s).