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The integral term
The integral term is an accumulation of RH error over time
multiplied by the integral gain. Every 1/10 second when the
demand is updated, the instantaneous RH error (RH set point –
actual RH) is added to a temporary variable that accumulates the
error. This accumulated error is multiplied by the integral gain
to create the integral term. The integral gain affects how fast the
humidifier corrects a droop condition. The higher the integral gain
(Ki), the faster the reaction. (An integral gain of zero disables this
variable and allows the unit to run on the proportional term only.)
With an integral gain term greater than zero and an actual
humidity below set point, the demand increases slightly with each
update. If the actual humidity is above set point, the demand
decreases slightly. The amount it increases or decreases depends
on the magnitude of the RH error and the integral gain value.
The closer you are to the set point, the smaller the addition or
subtraction.
When looking at this control scheme, an interesting pattern
occurs. The total demand signal for the humidifier is the sum of
the proportional part, the integral part, and the derivative part. As
the actual humidity approaches the set point, the integral portion
makes up the majority of the demand, and the proportional
part makes up very little. Once the set point is reached and the
unit stabilizes, the entire demand is made up of the integral part
because the proportional part is zero.
If the actual humidity goes over the set point, the integral term
starts to decrease. In addition, the proportional term becomes
negative and actually starts to subtract from the total system
demand. These two terms work in conjunction with each other to
bring the humidifier back to set point.
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Operation