Identification and non-integer order modelling of synchronous machines operating as generator

This paper presents an original mathematical model of a synchronous generator using derivatives of fractional order. In contrast to classical models composed of a large number of R-L ladders, it comprises half-order impedances, which enable the accurate description of the electromagnetic induction p...

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Main Author: Szymon Racewicz
Format: Article
Language:English
Published: ENERGA SA 2012-09-01
Series:Acta Energetica
Subjects:
Online Access:http://actaenergetica.org/en/articles/acta-energetica-032012/identification-and-non-integer-order-model-ling-of-synchronous-machines-operating-as-generator/
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author Szymon Racewicz
author_facet Szymon Racewicz
author_sort Szymon Racewicz
collection DOAJ
description This paper presents an original mathematical model of a synchronous generator using derivatives of fractional order. In contrast to classical models composed of a large number of R-L ladders, it comprises half-order impedances, which enable the accurate description of the electromagnetic induction phenomena in a wide frequency range, while minimizing the order and number of model parameters. The proposed model takes into account the skin eff ect in damper cage bars, the eff ects of eddy currents in rotor solid parts, and the saturation of the machine magnetic circuit. The half-order transfer functions used for modelling these phenomena were verifi ed by simulation of ferromagnetic sheet impedance using the fi nite elements method. The analysed machine’s parameters were identified on the basis of SSFR (StandStill Frequency Response) characteristics measured on a gradually magnetised synchronous machine.
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spelling doaj.art-29ce9b8e64b243d5bb43ca48f0eb0bc22022-12-21T19:39:41ZengENERGA SAActa Energetica2300-30222012-09-011237580Identification and non-integer order modelling of synchronous machines operating as generatorSzymon Racewicz0Gdańsk University of TechnologyThis paper presents an original mathematical model of a synchronous generator using derivatives of fractional order. In contrast to classical models composed of a large number of R-L ladders, it comprises half-order impedances, which enable the accurate description of the electromagnetic induction phenomena in a wide frequency range, while minimizing the order and number of model parameters. The proposed model takes into account the skin eff ect in damper cage bars, the eff ects of eddy currents in rotor solid parts, and the saturation of the machine magnetic circuit. The half-order transfer functions used for modelling these phenomena were verifi ed by simulation of ferromagnetic sheet impedance using the fi nite elements method. The analysed machine’s parameters were identified on the basis of SSFR (StandStill Frequency Response) characteristics measured on a gradually magnetised synchronous machine.http://actaenergetica.org/en/articles/acta-energetica-032012/identification-and-non-integer-order-model-ling-of-synchronous-machines-operating-as-generator/synchronous machinenon-integer order modellingparameter identifi cationSSFR
spellingShingle Szymon Racewicz
Identification and non-integer order modelling of synchronous machines operating as generator
Acta Energetica
synchronous machine
non-integer order modelling
parameter identifi cation
SSFR
title Identification and non-integer order modelling of synchronous machines operating as generator
title_full Identification and non-integer order modelling of synchronous machines operating as generator
title_fullStr Identification and non-integer order modelling of synchronous machines operating as generator
title_full_unstemmed Identification and non-integer order modelling of synchronous machines operating as generator
title_short Identification and non-integer order modelling of synchronous machines operating as generator
title_sort identification and non integer order modelling of synchronous machines operating as generator
topic synchronous machine
non-integer order modelling
parameter identifi cation
SSFR
url http://actaenergetica.org/en/articles/acta-energetica-032012/identification-and-non-integer-order-model-ling-of-synchronous-machines-operating-as-generator/
work_keys_str_mv AT szymonracewicz identificationandnonintegerordermodellingofsynchronousmachinesoperatingasgenerator