Proporsional - Integral -Derivative (PID) controllers are widely use in levell controll syemp to maintaid decred leived levels. Protur tunepe of parimeter is essentiala for optimal performis. Ini article provides nuicuik examples oPiads pimetro parameal.

Parameter Systems Basic

Consider a level controll systemm with te following paremters:

  • Process gain (K 1f; FLT: 0 = 33; Appros gain; p = 1; FLT: 1 = 3;) = 2
  • Proses time constant (constant 1f; FLT: 0: 33; Aver3; p 1; FLT: 1 3; ASA3;) = 50 detik
  • Deadtime (L) = 10 second s

PID Parameteor Calculation

Using the Ziegler-Nichols tuning method, the ultimatte gaiun (K 1,1; FLT: 0; u 3; fLT: 1: 1: 1; 53;) and ultimati period (T 1; 1st; 2: 3333333. s; 333030303.03.03E; subline; R1.3030303.0303030303030303.03.03.03.030303.03.030303030303030303030303030303030303030303:

  • K 1f; WHI1; FLT: 0 Abo3; ANZ3; u JUGA; FLT: 1 FLT: 1 ASA3; = 6
  • T 1f 1; 1f FLT: 0 = 40 detik

PID paremeters are kalkulated as folloves s:

Proporsionala Gain (K 1x1; FLT: 0: 33; Abo3; p 1f; FLT: 1 3; 13;)

K 1; ASA1; FLT: 0 AF3; p 1; 1; FLT: 1 ASA3; = 0.6 × K 1; FLT: 2: 3; u 51; FLT: 3 = 0.6 x 6 = 3.6

Integral Time (T 1f; FLT: 0 113; IVI 1r; FLT: 1 123; 133;)

T 113; ASA1; FLT: 0 = 0 = 33; I 1; FLT: 1: 1: 1 1; 8.3; = 0.5 × T 1; FLT: 2: 3; u 1993; FLT: 3: 33.3; = 0.5 × 40 = 20 detik

Derivative Time (T 1f; FLT: 0: 33; Syari3; D 1r; FLT: 1 13; Aver3;)

T 131; ASA1; FLT: 0 AF3; D 1; D 1; FLT: 1: 1: 133; = 0.155 × T 1f 1; FLT: 2: 3; u az31; FLT: 3: 3 = 0.155 × 40 = 5 detik

Finhal PID Settings

Te tuned PID controller paremeters are:

  • K 1f; WHI1; FLT: 0 AF3; P 1f; WHI1; FLT: 1 ASA3; = 3.6
  • T 1f 1; 1f FLT: 0 133; I 1f; FLT: 1 1f 3; = 20 second s
  • T 1f 1; 1f FLT: 0 133; D 1f; FLT: 1 Aver3; = 5 detik