Controllers for Process Applications_7_edit.pdf

asifjamal7078 19 views 70 slides Sep 06, 2024
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About This Presentation

This presentation provides an overview of control systems, their importance, and applications in various industries. The content covers both open-loop and closed-loop control systems, focusing on feedback mechanisms, system stability, and performance optimization. Key topics include:

Introduction t...


Slide Content

CONTROLLERS
FOR PROCESS APPLICATIONS

What is a Controller??

What is a Controller??

What is a Controller??

What is a Controller??

What is a Controller??

What is a Controller??

What is a Controller??

Pneumatic Actuator
(0-20 mA)

Controllers Modes
•Continuous Controller Action
•Discontinuous Controller Action
Each of the Above Classification can be written as:
•Direct Action and
•Reverse Action

Types of Controllers
✓On-Off or Two Position Controller
✓Multi-Position Controller
✓Floating mode Controller
✓Proportional Controller
✓Integral Controller
✓Derivative Controller
✓PI Controller
✓PD Controller
✓PID Controller

Discontinuous Controller
Modes
TWO POSITION MODE:
Controller Output p is given by
WATER HEATER EXAMPLE………………

Neutral Zone in Two Position Controller Mode

Example:
Setpoint Neutral zone
(323+12) K
(323-12) K

MULTIPOSITION CONTROL MODE
▪An extension of two position controller mode to provide several
intermediate rather than just two settings for the controller output

MULTIPOSITION CONTROL MODE

Relationship between error and three-position controller action, including the
effects of lag due to final control element and controller
Example:

FLOATING CONTROL MODE
▪InthismodethespecificControlleroutputisnotuniquelydeterminedbythe
error.Here,whenerroriszerothecontrolleroutputwillnotchangebutfloats
atthevalueatwhateverSettingitwenttozero.
▪Whenerrormovesoffthezerothecontrolleroutputbeginstochange.

Here, Controller is Reverse Acting
Example:

Multispeed floating mode control:

▪The rate of controller output change has a strong effect on error recovery in a
floating controller.
▪At higher rate of change of Controller output instability or Oscillations may occur
similar to ON-OFF Control
Recovering from Error in a Floating mode Controller

Continuous Controller Modes

Proportional Controller Mode:
▪Thetwo-positionmodehadthecontrolleroutputofeither100%or
0%,dependingontheerrorbeinggreaterorlessthantheneutral
zone.Inmultiple-stepmodes,moredivisionsofcontrolleroutputs
versuserroraredeveloped.
▪Thenaturalextensionofthisconceptistheproportionalmode,
whereasmooth,linearrelationshipexistsbetweenthecontroller
outputandtheerror.Thus,oversomerangeoferrorsaboutthe
setpoint,eachvalueoferrorhasauniquevalueofcontrolleroutput
inone-to-onecorrespondence.
▪Therangeoferrortocoverthe0%to100%controlleroutputiscalled
theproportionalband,becausetheone-to-onecorrespondence
existsonlyforerrorsinthisrange.Thismodecanbeexpressedby:

Proportional Band:

Direct Acting Proportional Controller

Reverse Acting Proportional Controller

Offset in a Proportional Controller: Level Control Example

Which actually means
that you need to change
the nominal value, after
load change: called
“manual reset”

▪Ifatransienterroroccursthesystemrespondsbychangingthe
controlleroutputincorrespondencewiththetransienttoeffecta
returntozeroerror.
▪Anoffseterrormustoccurifaproportionalcontrollerrequiresanew
zero-erroroutputfollowingaloadchange.
Offset in a Proportional Controller:

▪Theoffseterroroftheproportionalmodeoccursbecausethecontroller
cannotadapttochangingexternalconditions—thatis,changingloads.In
otherwords,thezero-erroroutputisafixedvalue.Theintegralmode
eliminatesthisproblembyallowingthecontrollertoadapttochanging
externalconditionsbychangingthezero-erroroutput(alsocalled
automaticresetcontrarytomanualresetintheproportionalcontroller)
▪Integralactionisprovidedbysummingtheerrorovertime,multiplying
thatsumbyagain,andaddingtheresulttothepresentcontrolleroutput.
Youcanseethatiftheerrormakesrandomexcursionsaboveandbelow
zero,thenetsumwillbezero,sotheintegralactionwillnotcontribute.
Butiftheerrorbecomespositiveornegativeforanextendedperiodof
time,theintegralactionwillbegintoaccumulateandmakechangesto
thecontrolleroutput.
Integral Controller Mode:

Integral Controller Mode:

Integral Controller Mode:

Derivative Controller Mode:

Derivative mode of control action where the output 50% has been assumed
for the zero derivative state or the nominal output is 50%

Derivative Controller Mode:

Problem 1 (linear scaling):

Problem 2 (Span error): :

Problem 3 (Controller output in percentage): :

Problem 4 (ON-OFF Controller): :

Problem 5 (Proportional Controller): :

Problem 6 (Integral Controller): :

Problem 7 (Derivative Controller): :

Composite Controller Modes:
Non-Interactive (Parallel):

A set point filter takes a step change in SP, and as shown below, forwards a
smooth transition signal to the controller.

Non-Interactive (Parallel) derivative of Output
Because of possible discontinuity (step change) in reference signal that are
transferred into error signal we use this configuration
Composite Controller Modes:

Composite Controller Modes:
Interactive (series):

Interactive (series):
Composite Controller Modes:

External Filters in Control
Composite Controller Modes:

Composite Controller Modes

PI Controller :

PI Controller :

PD Controller :

PID Controller :

Problem 8 (PI Controller): :

Problem 8 (PD Controller): :
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