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Dynaflow, User manual - operation, Derivative action (kd) – Ransburg DynaFlow User Manual User Manual

Page 61: Putting it all together, Deadband, Proportional action (kp), Integral action (ki)

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LN-9400-00.9

DynaFlow

TM

User Manual - Operation

57

Derivative Action (Kd)

Derivative action is proportional to the rate of

change of the error. The derivative term dampens,

or slows down process overshoot and improves

the response to changes in the process being

controlled. Another way to view this term is that

it "anticipates" or leads what is happening with

the actual flow.

Derivative action provides a sudden shift in the

control output as a result of a quick change in the

actual flow (transient) or set point. If the actual flow

drops quickly, the derivative term will provide a

large change in the output in an attempt to correct

the perturbation before it goes too far.

Derivative action should be associated more with

transient response control and less with overshoot

inhibition such as during start-up, or trigger ON.

Oscillation due to derivative action is typically a

cyclic "wander" away from the set point.

Putting It All Together

The optimum PID controller settings are deter-

mined based on the application. Types of applica-

tions that will effect PID considerations are:

Dynamic control of flow rate while spraying

parts - robot mounted,

Short GUN trigger times

Long trigger times - constant flow rate re-

quested during entire part

Precise 2K mixing ratio required at all times

Low flow rate applications

Applicators mounted on oscillators or re-

ciprocators that may produce cyclic back

pressures within the fluid lines

Systems with piston pump type supplies

Long pilot line lengths from fluid regulator

to transducer

General Guidelines

1. The type of fluid regulator represents the

larg-est overall impact on system response. The

following table lists control settings for various

fluid regulators that should result in stable con-

trol. The determination of these parameters was

based upon worst case conditions and therefore

constitutes "conservative" control response. It is

Deadband

This represents a flow range above and below

the set point value in which the PID control is

suspended. This keeps the control output from

continually changing and produces stability when

close to the requested value.

Proportional Action (Kp)

Proportional action simply means that the con-

troller output changes in proportion to the error

between the set point and the actual flow. It is

also commonly referred to as gain, proportional

gain and proportional band to name a few. If the

proportional gain is set too high, the system will

oscillate. If set too low, the fluid flow will "wonder"

due to a lack of responsiveness.

Integral Action (Ki)

The Integral element of the PID controller forces

the actual output (flow) to match the desired by

utilizing the sum of the error in flow rate.

Integral action is proportional to the sum of the

error. This term is needed to remove long term,

or steady-state error that cannot be removed by

the proportional term.

Integral action is the most important factor gov-

erning control near the set point. The integral

term changes the control output as a result of a

continuing error between set point and actual. The

integral term will continue to shift the output until

the actual flow rate falls within the Deadband value.

Integral action will also effect transition response

times. The greater the change in requested flow

rate, the more the integral action will effect the

response time.

The integral gain, Ki, must be chosen such that

oscillations do not occur. Increased integral gain

will cause faster response times, but can lead to

process instability and uncontrolled oscillations.