Comparative Study of Integer and Non-Integer Order Models of Synchronous Generator

Szymon Racewicz, Filip Kutt, Michał Michna and Łukasz Sienkiewicz
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Szymon Racewicz: Faculty of Mechatronics and Technical-Computer Sciences Education, University of Warmia and Mazury in Olsztyn, 10–719 Olsztyn, Poland
Filip Kutt: Faculty of Electrical and Control Engineering, Gdańsk University of Technology, 80–233 Gdańsk, Poland
Michał Michna: Faculty of Electrical and Control Engineering, Gdańsk University of Technology, 80–233 Gdańsk, Poland
Łukasz Sienkiewicz: Faculty of Electrical and Control Engineering, Gdańsk University of Technology, 80–233 Gdańsk, Poland

Energies, 2020, vol. 13, issue 17, 1-12

Abstract: This article presents a comparison between integer and non-integer order modelling of a synchronous generator, in the frequency domain as well as in the time domain. The classical integer order model was compared to one containing half-order systems. The half-order systems are represented in a Park d - q axis equivalent circuit as impedances modelled by half-order transmittances. Using a direct method based on the approximation of the half-order derivatives by the Grünwald–Letnikov definition, a state-space equation system was solved. For both models, a computational program written in Matlab ® software was used. For the purpose of time domain simulation, the machine models were connected to an electric load composed of an RL circuit. To validate and compare both models, simulation results of a three-phase short-circuit and a no-load voltage recovery were compared with corresponding measurements performed on a solid salient-pole synchronous generator of 125 kVA.

Keywords: fractional calculus; Grünwald–Letnikov definition; non-integer order modelling; synchronous generator (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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