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Basics On Process Control and PIDs
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PROCESSInputs Outputs
Controller
ControlElement
Sensor
DesiredValue(SP)
CAUSE EFFECT
DISTURBANCES
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Seven Control Objectives
SAFETY
ENVIRONMENTAL PROTECTION
EQUIPMENT PROTECTION
SMOOTH OPERATION
PRODUCT QUALITY
PROFIT
MONITORING AND DIAGNOISIS
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SAFETY
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ENVIRONMENTAL PROTECTION
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EQUIPMENT PROTECTION
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SMOOTH OPERATION
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PRODUCT QUALITY
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PROFIT
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MONITORING AND DIAGNOISIS
Failing to achieve any of these objectives will lead to operation that will beunprofitable, unsafe or worse
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Input Variables-Manipulated (or adjustable) Variables
if their values can be adjusted freely by the human operator or a controlmechanism
-Disturbancesif their values are not the result of adjustment by an operator or a control system
Output Variables-Measured O/P Variables
if their values are known by directly measuring them-Unmeasured O/P Variables
if they are not or cannot be measured directly
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Types Of Controllers
On-Off Controller
Proportional Controller
Proportional Integral Controller
Proportional Derivative Controller
Proportional Derivative Integral Controller
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On-Off Controller
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Proportional Controller
WherePout: Proportional outputKp: Proportional Gain, a tuning parametere: Error = SP PV
t: Time or instantaneous time (the present)
M V(t) = Pout
A high proportional gain results in a largechange in the output for a given change inthe error.
In contrast, a small gain results in a smalloutput response to a large input error, and aless responsive (or sensitive) controller.
If the proportional gain is too high, the
system can become unstable.If the proportional gain is too low, the controlaction may be too small when responding tosystem disturbances.
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Proportional Integral Controller
WhereIout: Integral outputKi: Integral Gain, a tuning parameter
e: Error = SP PV: Time in the past contributing to the integral
M V(t) = Pout + Iout
The integral term (when added to theproportional term) accelerates themovement of the process towards setpointand eliminates the residual steady-stateerror that occurs with a proportional onlycontroller.
However, since the integral term isresponding to accumulated errors from the
past, it can cause the present value toovershoot the setpoint value (cross overthe setpoint and then create a deviation inthe other direction).
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Proportional Derivative Controller
WhereDout: Derivative outputKd: Derivative Gain, a tuning parametere: Error = SP PVt: Time or instantaneous time (the present)
M V(t) = Pout + Dout
The derivative term slows the rate of change ofthe controller output and this effect is mostnoticeable close to the controller setpoint.Hence, derivative control is used to reduce themagnitude of the overshoot produced by theintegral/proportional component and to improvethe combined controller-process stability.
However, differentiation of a signal amplifiesnoise in the signal. Hence, this term in thecontroller is highly sensitive to noise in the errorterm. If the noise and the derivative gain aresufficiently large then the process becomesunstable.
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Proportional Derivative Integral Controller
M V(t) = Pout + Dout + Iout
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Proportional Gain - Larger Kp typically means faster response since the larger theerror, the larger the feedback to compensate. An excessively large proportional gain willlead to process instability.
Integral Gain - Larger Ki implies steady state errors are eliminated quicker. The trade-off is larger overshoot: any negative error integrated during transient response must beintegrated away by positive error before we reach steady state.
Derivative Gain - Larger Kddecreases overshoot, but slows down transient responseand may lead to instability.
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Different Types Of ControlSystemsFeedback Control System
Feedforward Control System
Cascade Control System
Ratio Control System
Split Control System
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Feedback Control SystemController acts after the effect of disturbance has been felt by the system
Advantages:
Corrective action occurs regardless of thesource and type of disturbances.
Requires little knowledge about the process (Forexample, a process model is not necessary).
Versatile and robust (Conditions change? May
have to re-tune controller).
Disadvantages:
FB control takes no corrective action until adeviation in the controlled variable occurs.
FB control is incapable of correcting a deviationfrom set point at the time of its detection.
Theoretically not capable of achieving perfect
control.
For frequent and severe disturbances, processmay not settle out.
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Feedforward Control SystemController acts even before the effect of disturbance has been felt by the system
Advantages:
Takes corrective action before the process isupset (cf. FB control.)
Theoretically capable of "perfect control"
Does not affect system stability
Disadvantages:
Disturbance must be measured (capital,operating costs)
Requires more knowledge of the process to becontrolled (process model)
Ideal controllers that result in "perfect control:may be physically unrealizable. Use practicalcontrollers such as lead-lag units
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Feedback Control
Feedforward Control
Comparison
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FF ControlAttempts to eliminate the effects of measurable disturbances.
FB Control
Corrects for unmeasurable disturbances, modeling errors, etc. (FB trim)
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Cascade Control System
Di ti i hi f t
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Distinguishing features:
-Two FB controllers but only a single control valve (or other -final control element).
-Output signal of the "master" controller is the set-point for slave" controller.
-Two FB control loops are "nested" with the "slave" (or "secondary") control loopinside the "master" (or "primary") control loop.
Terminology
-slave vs. master
-secondary vs. primary
-inner vs. outer
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Ratio Control System
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Split Control System
2 Manipulated Vars.:V1 and V2
1 Controlled Var.:Reactor pressure
While V1 opens, V2 should close
3 6 9 15
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