SKT içeren çok değişkenli bir sürecin matematiksel modellenmesi ve dinamik etkileşim giderme

Yıl 2018, Cilt: 24 Sayı: 2, 219 - 225, 30.04.2018

Tolgay Kara Hazhar Rasul

Öz

Bu makalede, bir sürekli karıştırılan tank (SKT)
içeren sıcaklık ve debi sürecinin matematiksel modeli ve dinamik etkileşim giderici
tasarımı sunulmuştur. İki doğrusal olmayan diferansiyel denklemden oluşan
dinamik matematiksel model geliştirilmiştir. Çok değişkenli (ÇD) sistem modeli,
döngü etkileşimlerini dinamik yöntemle gidermeyi kolaylaştırmak için
doğrusallaştırılarak transfer fonksiyonlarıyla ifade edilmiştir. Dinamik
etkileşim giderme tasarımı elde edilen doğrusallaştırılmış model yardımıyla
gerçekleştirilmiş ve döngülerin etkileşimlerinin ortadan kaldırılarak sürecin
ayrıştırılmış tek döngülü geri beslemeli denetim için uygun hale getirildiği
gösterilmiştir.

Anahtar Kelimeler

Matematiksel modelleme, SKT, Dinamik Etkileşim giderme

Mathematical modeling and dynamic decoupling of a multivariable process with a CST

Öz

In this paper, mathematical modeling and dynamic
decoupler design of a temperature and flow rate process with a continuously
stirred tank (CST) is presented. A dynamic mathematical model of the process
that consists of two nonlinear differential equations is developed. The
multivariable (MV) system model is linearized to make the elimination of loop
interaction easier through dynamic decoupling and expressed in terms of system
transfer functions. Dynamic decoupling is designed using obtained linearized
model and it is shown that loop interactions are eliminated making the process
suitable for decomposed single loop feedback controllers.

Anahtar Kelimeler

Mathematical Modelling, CST, Dynamic Decoupling

Kaynakça

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