Parker 590+ series - Taper Calc

Programming D-47
DC590+ Series DC Digital Drive
Core Diameter (d)
Line Speed (S)
Reel Diameter

r
(D)
TAPER CALC
Use this to profile the tension demand with diameter.
The function uses two inputs, tension setpoint and taper setpoint, to create the tension demand. The operator usually controls these setpoints.
Taper is a common requirement for winders. It reduces the tension as the roll diameter increases.
A profiler adjusts the tension using the equation:
 






 DiameterMin Diameter
Diameter
Taper
100%SptTension Demand Tapered
to yield a hyperbolic taper output. The taper tension characteristics are shown below:
Tension
Min
Diameter
100%
Diameter
-100% Taper
100% Taper
0% Taper
Torque
Min
Diameter
100%
Diameter
-100% Taper
0% Taper
100% Taper
The result is multiplied by TENSION SPT. to get TAPER DEMAND. When the taper setpoint is at 100%, the motor produces constant torque. That is,
a constant torque from core to full roll, and the tension falls off as the roll builds.
TENSION TRIM allows the tension demand to be adjusted, for example, when using closed loop trim. The result is TOT. TENS DEMAND.
Circumference = D or Line Speed (S) = Reel Speed (r) x D
Thus D = S
r
i.e. D  Line Speed (S)
Reel Speed (r )
Therefore with the web intact we can calculate the diameter from the two speeds.