Evaluating Fractional PID Control in a Nonlinear MIMO Model of a Hydroelectric Power Station

In this paper a Fractional PID Control is presented. This control was designed for a hydropower plant with six generation units working in an alternation scheme. The parameters and other features of such a set of hydrogeneration units have been used to perform the respective tuning up. In order to a...

Full description

Bibliographic Details
Main Authors: O. A. Rosas-Jaimes, G. A. Munoz-Hernandez, G. Mino-Aguilar, J. Castaneda-Camacho, C. A. Gracios-Marin
Format: Article
Language:English
Published: Hindawi-Wiley 2019-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2019/9367291
id doaj-aef5a72d0f4a46fa8decc9291fa950b7
record_format Article
spelling doaj-aef5a72d0f4a46fa8decc9291fa950b72020-11-25T00:48:17ZengHindawi-WileyComplexity1076-27871099-05262019-01-01201910.1155/2019/93672919367291Evaluating Fractional PID Control in a Nonlinear MIMO Model of a Hydroelectric Power StationO. A. Rosas-Jaimes0G. A. Munoz-Hernandez1G. Mino-Aguilar2J. Castaneda-Camacho3C. A. Gracios-Marin4Benemerita Universidad Autonoma de Puebla, Av. San Claudio and 18 Sur. Puebla, C.P. 72570, MexicoBenemerita Universidad Autonoma de Puebla, Av. San Claudio and 18 Sur. Puebla, C.P. 72570, MexicoBenemerita Universidad Autonoma de Puebla, Av. San Claudio and 18 Sur. Puebla, C.P. 72570, MexicoBenemerita Universidad Autonoma de Puebla, Av. San Claudio and 18 Sur. Puebla, C.P. 72570, MexicoInstituto Tecnologico de Puebla, Av. Tecnologico 420 Puebla, C.P. 72220, MexicoIn this paper a Fractional PID Control is presented. This control was designed for a hydropower plant with six generation units working in an alternation scheme. The parameters and other features of such a set of hydrogeneration units have been used to perform the respective tuning up. In order to assess the behavior of this controlled system, a model of such nonlinear plant is regulated through a classical PID by classical linearization of its set points, and then a pseudo-derivative part is substituted into a Fractional PID. Both groups of signals contain variations of voltage suggesting some abrupt changes in the supply of electricity fed to the network. Both sets of resulting signals are compared; the simulations show that the Fractional PID has a faster response with respect to those plots obtained from the classical PID used.http://dx.doi.org/10.1155/2019/9367291
collection DOAJ
language English
format Article
sources DOAJ
author O. A. Rosas-Jaimes
G. A. Munoz-Hernandez
G. Mino-Aguilar
J. Castaneda-Camacho
C. A. Gracios-Marin
spellingShingle O. A. Rosas-Jaimes
G. A. Munoz-Hernandez
G. Mino-Aguilar
J. Castaneda-Camacho
C. A. Gracios-Marin
Evaluating Fractional PID Control in a Nonlinear MIMO Model of a Hydroelectric Power Station
Complexity
author_facet O. A. Rosas-Jaimes
G. A. Munoz-Hernandez
G. Mino-Aguilar
J. Castaneda-Camacho
C. A. Gracios-Marin
author_sort O. A. Rosas-Jaimes
title Evaluating Fractional PID Control in a Nonlinear MIMO Model of a Hydroelectric Power Station
title_short Evaluating Fractional PID Control in a Nonlinear MIMO Model of a Hydroelectric Power Station
title_full Evaluating Fractional PID Control in a Nonlinear MIMO Model of a Hydroelectric Power Station
title_fullStr Evaluating Fractional PID Control in a Nonlinear MIMO Model of a Hydroelectric Power Station
title_full_unstemmed Evaluating Fractional PID Control in a Nonlinear MIMO Model of a Hydroelectric Power Station
title_sort evaluating fractional pid control in a nonlinear mimo model of a hydroelectric power station
publisher Hindawi-Wiley
series Complexity
issn 1076-2787
1099-0526
publishDate 2019-01-01
description In this paper a Fractional PID Control is presented. This control was designed for a hydropower plant with six generation units working in an alternation scheme. The parameters and other features of such a set of hydrogeneration units have been used to perform the respective tuning up. In order to assess the behavior of this controlled system, a model of such nonlinear plant is regulated through a classical PID by classical linearization of its set points, and then a pseudo-derivative part is substituted into a Fractional PID. Both groups of signals contain variations of voltage suggesting some abrupt changes in the supply of electricity fed to the network. Both sets of resulting signals are compared; the simulations show that the Fractional PID has a faster response with respect to those plots obtained from the classical PID used.
url http://dx.doi.org/10.1155/2019/9367291
work_keys_str_mv AT oarosasjaimes evaluatingfractionalpidcontrolinanonlinearmimomodelofahydroelectricpowerstation
AT gamunozhernandez evaluatingfractionalpidcontrolinanonlinearmimomodelofahydroelectricpowerstation
AT gminoaguilar evaluatingfractionalpidcontrolinanonlinearmimomodelofahydroelectricpowerstation
AT jcastanedacamacho evaluatingfractionalpidcontrolinanonlinearmimomodelofahydroelectricpowerstation
AT cagraciosmarin evaluatingfractionalpidcontrolinanonlinearmimomodelofahydroelectricpowerstation
_version_ 1725256896984645632