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

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

Abstract

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.

Keywords

• Mathematical Modelling,CST,Dynamic Decoupling

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