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5 modifications to tuning criteria, Odifications to, Uning – Micromod Micro-DCI: 53SL5100B Single Loop Controller User Manual

Page 85: Riteria, Table 11-3. easy-tune equations

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53SL5100B Single-Loop Controller

INSTRUCTION MANUAL

79

11.5 Modifications to Tuning Criteria

During EASY-TUNE sequence execution, each of the three algorithm variables: Time Constant (T

P

), Process

Gain (K

P

), and Dead-Time (W

P

), are altered by 10% in the conservative direction, (instrument operating

characteristics would be slower response, but less chance of oscillation and instability) before the tuning
parameters are computed using the ITAE equations listed in Table 11-4. (Figure 11-2 illustrates the equation
variables with respect to the response curve.)

The three variables T

P

, K

P

, and W

P

can be increased numerically to compute tuning parameters that are

more conservative, or decreased for less conservative tuning parameter calculations (instrument operating
characteristics would be faster response and greater chance of instability or oscillation). Parameters used to
alter the variables are the EASY-TUNE Modifiers, datapoints C382 (T

P

Modifier), C383 (D

P

Modifier), and

C384 (W

P

Modifier). It is recommended that the values entered in C382, C383, and C384 be between -0.5

and 0.5. The effect on the equation variables is as follows:

T

P

modified = T

P

(1 - C382)

K

P

modified = K

P

(1+ C383)

W

P

modified = W

P

(1+ C384)

Table 11-3. EASY-TUNE Equations

Mode

PB in %

TR (Minutes)

TR* (Minutes)

P 204K

P

(W

P

/T

P

)

1.084

0

0

PI 116.4K

P

(W

P

/T

P

)

0.977

(T

P

/40.44)(W

P

/T

P

)

0.68

0

PID 3.69K

P

(W

P

/T

P

)

0.947

(T

P

/51.02)(W

P

/T

P

)

0.738

(T

P

/157.5)(W

P

/T

P

)

0.995

PD** 54.02K

P

(W

P

/T

P

)

0.947

0

(T

P

/157.5)(W

P

/T

P

)

0.995

i** 0

T

P

[(K

P

/25)(W

P

/T

P

)

0.15

] 0

NOTE: Process characteristics TP, KP, and WP are used to compute the ideal tuning parameters

according to the Minimum Integral of Absolute Error Multiplied by Time Criterion (ITAE) for P, PI, and
PID modes.

*If computed to be < B003/50, then T

D

= 0.

**Empirical estimates, not based on ITAE method.

NOTE: The approximation of a process step response curve by a first order time lag plus dead-

time model is done by equating their values at 0.2835 and 0.6321 fraction of the total excursion.