A Discreet Mathematical Model Based on the Bilinear Transformation of a Synchronous Electric Machine with a Turn-to-Turn Fault in the Rotor Winding
- Autores: Polishchuk V.I.1, Timoshkin V.V.2, Glazyrin A.S.2, Bolovin E.V.2
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Afiliações:
- Samara State Technical University
- Tomsk National Research Polytechnic University
- Edição: Volume 90, Nº 2 (2019)
- Páginas: 113-120
- Seção: Article
- URL: https://journals.rcsi.science/1068-3712/article/view/231520
- DOI: https://doi.org/10.3103/S1068371219020081
- ID: 231520
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Resumo
A number of requirements are imposed upon the group of promising discrete mathematical models: a small sampling interval, the guaranteed asymptotic (Lyapunov) stability, explicit nature of numerical methods, and program and algorithmic optimization of calculations. The application of bilinear transformation to construct a discrete mathematical model of a synchronous electric machine with a turn-to-turn fault of the rotor winding is considered. This approach makes it possible to tackle a number of problems which arise when standard methods for solving a Cauchy problem are used—namely, nonstationarity of dynamical systems and influence of the integration error on the accuracy. A transfer from a system of differential equations, describing the physics of synchronous generator operation, to difference equations is considered. Based on the difference equations obtained, a structural scheme is composed which allows the mathematical model software to be implemented on the microcontroller without involving additional mathematical functions. The experimental testing of adequacy of the discrete mathematical model of a synchronous generator with a turn-to-turn fault is performed. The proposed approach can be used to solve problems on identification of turn-to-turn faults, where an adequate high-speed and stable model is necessary.
Sobre autores
V. Polishchuk
Samara State Technical University
Autor responsável pela correspondência
Email: journal-elektrotechnika@mail.ru
Rússia, Samara, 443001
V. Timoshkin
Tomsk National Research Polytechnic University
Email: journal-elektrotechnika@mail.ru
Rússia, Tomsk, 634050
A. Glazyrin
Tomsk National Research Polytechnic University
Email: journal-elektrotechnika@mail.ru
Rússia, Tomsk, 634050
E. Bolovin
Tomsk National Research Polytechnic University
Email: journal-elektrotechnika@mail.ru
Rússia, Tomsk, 634050
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