The fractional PID controllers tuned by genetic algorithms for expansion turbine in the cryogenic air separation process

This paper deals with the design of a new algorithm of PID control based on fractional calculus (FC) in production of technical gases, i.e. in a cryogenic air separation process. Production of low pressure liquid air was first introduced by P. L. Kapica and involved expansion in a gas turbi...

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Main Authors: Bučanović Ljubiša J., Lazarević Mihailo P., Batalov Srećko N.
Format: Article
Language:English
Published: Association of Chemical Engineers of Serbia 2014-01-01
Series:Hemijska Industrija
Subjects:
Online Access:http://www.doiserbia.nb.rs/img/doi/0367-598X/2014/0367-598X1300078B.pdf
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author Bučanović Ljubiša J.
Lazarević Mihailo P.
Batalov Srećko N.
author_facet Bučanović Ljubiša J.
Lazarević Mihailo P.
Batalov Srećko N.
author_sort Bučanović Ljubiša J.
collection DOAJ
description This paper deals with the design of a new algorithm of PID control based on fractional calculus (FC) in production of technical gases, i.e. in a cryogenic air separation process. Production of low pressure liquid air was first introduced by P. L. Kapica and involved expansion in a gas turbine. For application in the synthesis of the control law, for the input temperature and flow of air to the expansion turbine, it is necessary to determine the appropriate differential equations of the cryogenic process of mixing of two gaseous airflows at different temperatures before entrance to the expansion turbine. Thereafter, the model is linearized and decoupled and consequently classical PID and fractional order controllers are taken to assess the quality of the proposed technique. A set of optimal parameters of these controllers are achieved through the genetic algorithm optimization procedure by minimizing a cost function. Our design method focuses on minimizing performance criterion which involves IAE, overshoot, as well as settling time. A time-domain simulation was used to identify the performance of controller with respect to a traditional optimized PID controller. [Projekat Ministarstva nauke Republike Srbije, br. 35006]
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spelling doaj.art-8b8b88afadd64535888ddc3ceb7bed372022-12-22T00:35:21ZengAssociation of Chemical Engineers of SerbiaHemijska Industrija0367-598X2217-74262014-01-0168551952810.2298/HEMIND130717078B0367-598X1300078BThe fractional PID controllers tuned by genetic algorithms for expansion turbine in the cryogenic air separation processBučanović Ljubiša J.0Lazarević Mihailo P.1Batalov Srećko N.2Department of production of technical gases, Messer Tehnogas, BorFaculty of Mechanical Engineering, BelgradeFaculty of Mechanical Engineering, BelgradeThis paper deals with the design of a new algorithm of PID control based on fractional calculus (FC) in production of technical gases, i.e. in a cryogenic air separation process. Production of low pressure liquid air was first introduced by P. L. Kapica and involved expansion in a gas turbine. For application in the synthesis of the control law, for the input temperature and flow of air to the expansion turbine, it is necessary to determine the appropriate differential equations of the cryogenic process of mixing of two gaseous airflows at different temperatures before entrance to the expansion turbine. Thereafter, the model is linearized and decoupled and consequently classical PID and fractional order controllers are taken to assess the quality of the proposed technique. A set of optimal parameters of these controllers are achieved through the genetic algorithm optimization procedure by minimizing a cost function. Our design method focuses on minimizing performance criterion which involves IAE, overshoot, as well as settling time. A time-domain simulation was used to identify the performance of controller with respect to a traditional optimized PID controller. [Projekat Ministarstva nauke Republike Srbije, br. 35006]http://www.doiserbia.nb.rs/img/doi/0367-598X/2014/0367-598X1300078B.pdftechnical gasescryogenic liquidfractional PID controlFOPID optimal tuninggenetic algorithms
spellingShingle Bučanović Ljubiša J.
Lazarević Mihailo P.
Batalov Srećko N.
The fractional PID controllers tuned by genetic algorithms for expansion turbine in the cryogenic air separation process
Hemijska Industrija
technical gases
cryogenic liquid
fractional PID control
FOPID optimal tuning
genetic algorithms
title The fractional PID controllers tuned by genetic algorithms for expansion turbine in the cryogenic air separation process
title_full The fractional PID controllers tuned by genetic algorithms for expansion turbine in the cryogenic air separation process
title_fullStr The fractional PID controllers tuned by genetic algorithms for expansion turbine in the cryogenic air separation process
title_full_unstemmed The fractional PID controllers tuned by genetic algorithms for expansion turbine in the cryogenic air separation process
title_short The fractional PID controllers tuned by genetic algorithms for expansion turbine in the cryogenic air separation process
title_sort fractional pid controllers tuned by genetic algorithms for expansion turbine in the cryogenic air separation process
topic technical gases
cryogenic liquid
fractional PID control
FOPID optimal tuning
genetic algorithms
url http://www.doiserbia.nb.rs/img/doi/0367-598X/2014/0367-598X1300078B.pdf
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