| DOI: https://doi.org/10.15407/publishing2018.50.023
ABOUT TENSOR ANALYSIS APPLICATION TO THE STEADY-STATE STABILITY ESTIMATION TASKS OF POWER SYSTEMS WITH DISTRIBUTED GENERATION SOURCES
V. Kozyrskyi1*, I. Tugai2**, F. Tiutiunnyk3***
1,3 – Education and Research Institute of Energetics, Automation and Energy Efficiency of NUBIP,
Heroyiv Oborony Str., 12, Kyiv, 03041, Ukraine
е-mail:
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2 – Institute of Electrodynamics of the National Academy of Sciences of Ukraine,
Peremohy, 56, Kyiv-57, 03680, Ukraine,
е-mail:
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* ORCID ID : http://orcid.org/0000-0001-6780-9750
** ORCID ID : http://orcid.org/0000-0002-7261-4277
*** ORCID ID : http://orcid.org/0000-0001-7411-6776
The aim of this paper is to analyze possibility of tensor methodology application to the stability estimation tasks. This study reviews components of mathematical model, which describes specifics of distributed generation sources. According to trend of share of distributed generation, some of them have an effect on stability. The moment of inertia is quite important value, it was caused by design and generator capacity. Therefore, lack of information is cause necessity of identification models for small capacity generators. Such model obtained by turbogenerator design procedure. Also, this study examines possibility of clarification identifying components of tensor model. References 6, figures 3.
Key words: tensor, stability, power system, distributed generation, inertia moment, turbogenerator, mathematical model.
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2. Kron G. The application of tensors to the analysis of rotating electrical machinery. New York: General Electric Review, 1935.
3. Slootweg J.G. and Kling W.L. Impacts of distributed generation on power system transient stability. IEEE Power Engineering Society Summer Meeting. 2002. Vol. 2. Pp. 862-867. DOI: https://doi.org/10.1109/PESS.2002.1043465
4. Tugai Y., Kozyrskyi V., Prystupa A., Tiutiunnyk F. The study of stability in a local segment of the power system with distributed generation. Vistnyk KhNTUSG. 2017. №187. Pp. 3–5 (Ukr)
5. Tiutiunnyk F., Prystupa A. and Bodunov V. Improving methods for evaluating the stability of electrical systems with distributed generation. II International Young Scientists Forum on Applied Physics and Engineering (YSF). Kharkiv, Ukraine, 2016. Pp. 37–40. DOI: https://doi.org/10.1109/YSF.2016.7753795
6. Khutoretsky G.M., Tokov M.I., Tolvinskaya E.V. Design of turbogenerators. Leningrad: Energoatomizdat, 1987. 256 p. (Rus)
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