Tension Control Brake
Tension controller for a Powder Brake component for R2R systems
Description
Variables
Connections
Parameters
The Tension Control for a Brake component is a tension controller for a Powder Brake on an unwinder which calculates the needed braking torque.
Usage
The Tension Control for a Brake component needs a reference tension signal and a measured tension signal which must be controlled. The measured tension can be gotten from the tension output port of a Span component as well as from a Load Cell component. The controller has a feedback controller using a LimPID component and a feedforward controller which considers the influence of the accelerated or decelerated inertia of the unwinder.
τ=τPID+τFF=τPID+Tref⋅R−1R⁢dvwebdt⋅JBrake+JDrum+JWeb
Parameterization
The user has access to all parameters from the LimPID component. For the feedforward controller part, it is necessary to determine the parameters of the Web Properties as well as the Unwind Drum component parameter.
Name
Units
Modelica ID
τFF
N⁢m
Braking torque of the feed-forward control
tauFF
τFB
Braking torque of the feedback control
tauFB
TRef
Real input; reference tension
TMeas
Real input; measured tension
vweb
Real input; master speed of the webline
v_web
R
Real input; radius of the unwinder
τ
Real output; braking torque
tau
Web Properties
Default
Use default properties (WP1)
true
When checked (true), web properties are defined by the closest Web Properties block found
useDefault
WP1
Name of the record containing the web properties [1]
wp
[1] Enabled when Use default properties is false.
Brake
J
0.001
kg⁢m2
Moment of inertia (Brake)
JBrake
Unwind Drum
D
0.1
m
Core diameter of the unwinder
Use cylindrical geometry
When checked (true), drum core inertia is calculated assuming a uniform cylindrical geometry
useCylindricalGeometry
Di
0
Core inner diameter [1]
ρ
2700
kgm3
Drum core density [1]
rho_roll
L
1.2
Drum length [1]
0.005
Drum core rotational inertia [2]
[1] Accessible when Use cylindrical geometry is true (checked).
[2] Accessible when Use cylindrical geometry is false (unchecked).
Controller
Controller Type
PI
Type of controller: P, PI, PD, PID
controllerType
k
Gain of controller
Ti
0.5
s
Time constant of integrator block [1]
Ni
0.9
Ni⁢Ti is the time constant of anti-windup compensation [1]
Td
Time constant of derivative block [2]
Nd
10
The higher Nd, the more ideal the derivative block [2]
1
Weight for proportional block
wP
wd
Weight for derivative block [2]
τmax
100
Upper limit of output torque
tau_max
τmin
Lower limit of output torque
tau_min
[1] Accessible when controllerType∈PI,PID
[2] Accessible when controllerType∈PD,PID
Initialization
Initial Values
NoInit
Type of initialization: NoInit, SteadyState, InitialState, InitialOutput
initType
xi start
Initial value for integrator state
xi_start
xd start
Initial value for state of differentiator
xd_start
I/O Units
Value
TUnit
N
Unit selection for the TRef and TMeas inputs
forceUnits
RUnit
Unit selection for the R input
lengthUnits
τUnit
Unit selection for the τ output
torqueUnits
vUnit
ms
Unit selection for the vweb and vlocal inputs
velocityUnits
See Also
Controls
Web Handling Library
Download Help Document