Tension Control Brake - MapleSim Help
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Tension Control Brake

Tension controller for a Powder Brake component for R2R systems

 

Description

Variables

Connections

Parameters

Description

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+TrefR1RdvwebdtJBrake+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.

Variables

Name

Units

Description

Modelica ID

τFF

Nm

Braking torque of the feed-forward control

tauFF

τFB

Nm

Braking torque of the feedback control

tauFB

Connections

Name

Description

Modelica ID

TRef

Real input; reference tension

TRef

TMeas

Real input; measured tension

TMeas

vweb

Real input; master speed of the webline

v_web

R

Real input; radius of the unwinder

R

τ

Real output; braking torque

tau

Parameters

Web Properties

Name

Default

Description

Modelica ID

Use default properties (WP1)

true

When checked (true), web properties are defined by the closest Web Properties block found

useDefault

Web Properties

WP1

Name of the record containing the web properties [1]

wp

[1] Enabled when Use default properties is false.

Brake

Name

Default

Units

Description

Modelica ID

J

0.001

kgm2

Moment of inertia (Brake)

JBrake

Unwind Drum

Name

Default

Units

Description

Modelica ID

D

0.1

m

Core diameter of the unwinder

D

Use cylindrical geometry

true

 

When checked (true), drum core inertia is calculated assuming a uniform cylindrical geometry

useCylindricalGeometry

Di

0

m

Core inner diameter [1]

Di

ρ

2700

kgm3

Drum core density [1]

rho_roll

L

1.2

m

Drum length [1]

L

J

0.005

kgm2

Drum core rotational inertia [2]

J

[1] Accessible when Use cylindrical geometry is true (checked).

[2] Accessible when Use cylindrical geometry is false (unchecked).

Controller

Name

Default

Units

Description

Modelica ID

Controller Type

PI

 

Type of controller: P, PI, PD, PID

controllerType

k

0.001

 

Gain of controller

k

Ti

0.5

s

Time constant of integrator block [1]

Ti

Ni

0.9

 

NiTi is the time constant of anti-windup compensation [1]

Ni

Td

0.1

s

Time constant of derivative block [2]

Td

Nd

10

 

The higher Nd, the more ideal the derivative block [2]

Nd

wp

1

 

Weight for proportional block

wP

wd

0

 

Weight for derivative block [2]

wd

τmax

100

Nm

Upper limit of output torque

tau_max

τmin

0

Nm

Lower limit of output torque

tau_min

[1] Accessible when controllerTypePI,PID

[2] Accessible when controllerTypePD,PID

Initialization

Name

Default

Description

Modelica ID

Initial Values

NoInit

Type of initialization: NoInit, SteadyState, InitialState, InitialOutput

initType

xi start

0

Initial value for integrator state

xi_start

xd start

0

Initial value for state of differentiator

xd_start

I/O Units

Name

Value

Description

Modelica ID

TUnit

N

Unit selection for the TRef and TMeas inputs

forceUnits

RUnit

m

Unit selection for the R input

lengthUnits

τUnit

Nm

Unit selection for the τ output

torqueUnits

vUnit

ms

Unit selection for the vweb and vlocal inputs

velocityUnits

See Also

Controls

Web Handling Library