Pid Control Explanations; Proportional Band; Integral Time - Omega CN63100 Series User Manual

PID CONTROL EXPLANATIONS

Proportional Band

Proportional band is defined as the "band" (range) the process changes to
cause the percent output power to change from 0% to 100%. The band may or
may not be centered about the setpoint value depending upon the steady state
requirements of the process. The band is shifted by manual offset or integral
action (automatic reset) to maintain zero error. Proportional band is
expressed as percent of input sensor range.
For CN63100, the ranges are fixed for the thermocouple and RTD types.
For CN63300, the range is set by the difference between "dSP2 and dSP1".
Figure 29, Proportional Band
Example: Thermocouple type T with a temperature range of 600°C is used
and is indicated in degrees Celsius with a proportional band of 5%. This
yields a band of 600°C X 5% = 30°C.
The proportional band should be set to obtain the best response to a
disturbance while minimizing overshoot. Low proportional band settings (high
gain) result in quick controller response at expense of stability and increased
overshoot. Settings that are excessively low produce continuous oscillations at
setpoint. High proportional band settings (low gain) result in a sluggish
response with long periods of process "droop". A proportional band of 0.0%
forces the controller into ON/OFF control mode with its characteristic cycling
at setpoint (See ON/OFF Control, page 47, for more information).

Integral Time

Integral time is defined as the time, in seconds, in which the output due to
integral action alone equals the output due to proportional action with a
constant process error. As long as a constant error exists, integral action
repeats the proportional action each integral time. Integral action shifts the
center point position of the proportional band to eliminate error in the steady
state. The units of integral time are seconds per repeat.
Integral action (also known as "automatic reset") changes the output power
to bring the process to setpoint. Integral times that are too fast (small times) do
not allow the process to respond to the new output value. This causes
over-compensation and leads to an unstable process with excessive overshoot.
Integral times that are too slow (large times) cause a slow response to steady
state errors. Integral action may be disabled by setting the time to zero. If time is
set to zero, the previous integral output power value is maintained.
If integral action is disabled, manual reset is available by modifying the
output power offset ("OPOF" initially set to zero) to eliminate steady state
errors. This parameter appears in unprotected parameter mode when integral
time is set to zero. The controller has the feature to prevent integral action
when operating outside the proportional band. This prevents "reset
wind-up".
Figure 30, Integral Time
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