SETPOINT
The setpoint is a value for a process variable that is desired to be
maintained. For example, if a process temperature needs to kept
within 5 °C of 100 °C, then the setpoint is 100 °C. A temperature
sensor can be used to help maintain the temperature at setpoint.
The sensor is inserted into the process, and a contoller compares the
temperature reading from the sensor to the setpoint. If the temperature
reading is 110 °C, then the controller determines that the process is
above setpoint and signals the fuel valve of the burner to close slightly
until the process cools to 100 °C. Set points can also be maximum or
minimum values. For example, level in tank cannot exceed 20 feet.
MEASURED VARIABLES, PROCESS VARIABLES, AND
MANIPULATED VARIABLES
In the temperature control loop example, the measured variable is
temperature, which must be held close to 100 °C. In this example and
in most instances, the measured variable is also the process variable.
The measured variable is the condition of the process fluid that must
be kept at the designated setpoint.
Sometimes the measured variable is not the same as the process
variable. For example, a manufacturer may measure flow into and out
of a storage tank to determine tank level. In this scenario, flow is the
measured variable, and the process fluid level is the process variable.
The factor that is changed to keep the measured variable at setpoint is
called the manipulated variable. In the example described, the
manipulated variable would also be flow.
ERROR
Error is the difference between the measured variable and the
setpoint and can be either positive or negative. In the temperature
control loop example, the error is the difference between the 110 °C
measured variable and the 100 °C setpoint—that is, the error is +10
°C.
The objective of any control scheme is to minimize or eliminate error.
Therefore, it is imperative that error be well understood. Any error
can be seen as having three major components. These three
components are shown in the figure on the folowing page
Magnitude
The magnitude of the error is simply the deviation between the values
of the setpoint and the process variable. The magnitude of error at any
point in time compared to the previous error provides the basis for
determining the change in error. The change in error is also an
important value.
Duration
Duration refers to the length of time that an error condition has
existed.
Rate Of Change
The rate of change is shown by the slope of the error plot.
OFFSET
Offset is a sustained deviation of the process variable from the
setpoint. In the temperature control loop example, if the control
system held the process fluid at 100.5 °C consistently, even though
the setpoint is 100 °C, then an offset of 0.5 °C exists.
LOAD DISTURBANCE
A load disturbance is an undesired change in one of the factors that
can affect the process variable. In the temperature control loop
example, adding cold process fluid to the vessel would be a load
disturbance because it would lower the temperature of the process
fluid.
CONTROL ALGORITHM
A control algorithm is a mathematical expression of a control
function. Using the temperature control loop example, V in the
equation below is the fuel valve position, and e is the error. The
relationship in a control algorithm can be expressed as:
The fuel valve position (V) is a function (f) of the sign (positive or
negative) of the error (Figure 7.3).
Algorithm Example
Control algorithms can be used to calculate the requirements of much
more complex control loops than the one described here. In more
complex control loops, questions such as “How far should the valve
be opened or closed in response to a given change in setpoint?” and
“How long should the valve be held in the new position after the
process variable moves back toward setpoint?” need to be answered.
MANUAL AND AUTOMATIC CONTROL
Before process automation, people, rather than machines, performed
many of the process control tasks. For example, a human operator
might have watched a level gauge and closed a valve when the level
reached the setpoint. Control operations that involve human
action to make an adjustment are called manual control systems.
Conversely, control operations in which no human intervention is
required, such as an automatic valve actuator that responds to a level
controller, are called automatic control systems.
V = f(± e)
Control algorithms can be used to calculate the requirements of much
more complex control loops than the one described here. In more
complex control loops, questions such as “How far should the valve
be opened or closed in response to a given change in setpoint?” and
“How long should the valve be held in the new position after the
process variable moves back toward setpoint?” need to be answered.
The setpoint is a value for a process variable that is desired to be
maintained. For example, if a process temperature needs to kept
within 5 °C of 100 °C, then the setpoint is 100 °C. A temperature
sensor can be used to help maintain the temperature at setpoint.
The sensor is inserted into the process, and a contoller compares the
temperature reading from the sensor to the setpoint. If the temperature
reading is 110 °C, then the controller determines that the process is
above setpoint and signals the fuel valve of the burner to close slightly
until the process cools to 100 °C. Set points can also be maximum or
minimum values. For example, level in tank cannot exceed 20 feet.
MEASURED VARIABLES, PROCESS VARIABLES, AND
MANIPULATED VARIABLES
In the temperature control loop example, the measured variable is
temperature, which must be held close to 100 °C. In this example and
in most instances, the measured variable is also the process variable.
The measured variable is the condition of the process fluid that must
be kept at the designated setpoint.
Sometimes the measured variable is not the same as the process
variable. For example, a manufacturer may measure flow into and out
of a storage tank to determine tank level. In this scenario, flow is the
measured variable, and the process fluid level is the process variable.
The factor that is changed to keep the measured variable at setpoint is
called the manipulated variable. In the example described, the
manipulated variable would also be flow.
ERROR
Error is the difference between the measured variable and the
setpoint and can be either positive or negative. In the temperature
control loop example, the error is the difference between the 110 °C
measured variable and the 100 °C setpoint—that is, the error is +10
°C.
The objective of any control scheme is to minimize or eliminate error.
Therefore, it is imperative that error be well understood. Any error
can be seen as having three major components. These three
components are shown in the figure on the folowing page
Magnitude
The magnitude of the error is simply the deviation between the values
of the setpoint and the process variable. The magnitude of error at any
point in time compared to the previous error provides the basis for
determining the change in error. The change in error is also an
important value.
Duration
Duration refers to the length of time that an error condition has
existed.
Rate Of Change
The rate of change is shown by the slope of the error plot.
OFFSET
Offset is a sustained deviation of the process variable from the
setpoint. In the temperature control loop example, if the control
system held the process fluid at 100.5 °C consistently, even though
the setpoint is 100 °C, then an offset of 0.5 °C exists.
LOAD DISTURBANCE
A load disturbance is an undesired change in one of the factors that
can affect the process variable. In the temperature control loop
example, adding cold process fluid to the vessel would be a load
disturbance because it would lower the temperature of the process
fluid.
CONTROL ALGORITHM
A control algorithm is a mathematical expression of a control
function. Using the temperature control loop example, V in the
equation below is the fuel valve position, and e is the error. The
relationship in a control algorithm can be expressed as:
The fuel valve position (V) is a function (f) of the sign (positive or
negative) of the error (Figure 7.3).
Algorithm Example
Control algorithms can be used to calculate the requirements of much
more complex control loops than the one described here. In more
complex control loops, questions such as “How far should the valve
be opened or closed in response to a given change in setpoint?” and
“How long should the valve be held in the new position after the
process variable moves back toward setpoint?” need to be answered.
MANUAL AND AUTOMATIC CONTROL
Before process automation, people, rather than machines, performed
many of the process control tasks. For example, a human operator
might have watched a level gauge and closed a valve when the level
reached the setpoint. Control operations that involve human
action to make an adjustment are called manual control systems.
Conversely, control operations in which no human intervention is
required, such as an automatic valve actuator that responds to a level
controller, are called automatic control systems.
V = f(± e)
Control algorithms can be used to calculate the requirements of much
more complex control loops than the one described here. In more
complex control loops, questions such as “How far should the valve
be opened or closed in response to a given change in setpoint?” and
“How long should the valve be held in the new position after the
process variable moves back toward setpoint?” need to be answered.
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