Mathematical model of behavior of small wind power generators
Matematičeskoe modelirovanie, Tome 27 (2015) no. 2, pp. 85-95.

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A closed mathematical model of a small wind power generator is proposed where the electromechanical torque applied to the generator shaft is non-linear in current. The manifold of steady regimes is studied depending on parameters of the system. It is shown that increase of wind speed causes qualitative restructuring of this manifold, which leads to considerable change in behavior of the device. The influence of parameter describing the mentioned nonlinearity upon characteristics of the steady regime is studied. The influence of this parameter upon the range of external resistances is analyzed where the hysteresis of the output power takes place.
Keywords: wind power plant, variety of stationary regimes.
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V. A. Samsonov; Yu. D. Selyutskiy. Mathematical model of behavior of small wind power generators. Matematičeskoe modelirovanie, Tome 27 (2015) no. 2, pp. 85-95. http://geodesic.mathdoc.fr/item/MM_2015_27_2_a5/

[1] H. Dumitrescu, V. Cardos, “Predictions of unsteady HAWT aerodynamics by lifting line theory”, Mathematical and Computer Modelling, 33:4–5 (2001), 469–481 | DOI

[2] H. Kim, L. Seoungmin, L. Soogab, “Numerical analysis on the aerodynamics of HAWTs using non-linear vortex strength correction”, Current Applied Physics, 10:2, March, Supplement (2010), S311–S315 | DOI

[3] J. N. Sorensen, C. W. Kock, “A model for unsteady rotor aerodynamics”, Journal of Wind Engineering and Industrial Aerodynamics, 58 (1995), 259–275 | DOI

[4] K. Kishinami, H. Taniguchi, J. Suzuki, H. Ibano, T. Kazunou, M. Turuhami, “Theoretical and experimental study on the aerodynamic characteristics of a horizontal axis wind turbine”, Energy, 30 (2005), 2089–2100 | DOI

[5] M. Z. Dosaev, A. I. Kobrin, V. L. Liu, Ch. Kh. Lin, Iu. D. Seliutskii, “Ob odnoi osobennosti funktsionirovaniia mini-vetroelektrostantsii”, Vestn. MEI, 2007, no. 1, 71–75

[6] M. Z. Dosaev, Ch.-H. Lin, W.-L. Lu, V. A. Samsonov, Yu. D. Selyutskii, “A qualitative analysis of the steady modes of operation of small wind power generators”, J. Applied Mathematics and Mechanics, 73:3 (2009), 259–263 | DOI

[7] V. A. Dievskii, Prilozhenie negolonomnoi mekhaniki k obshchei teorii elektricheskikh mashin, Lan, SPb., 2009, 120 pp.

[8] E. Hau, Wind Turbines: Fundamentals, Technologies, Application, Economics, Springer Verlag, 2006, 783 pp.

[9] A. A. Golovin, M. Z. Dosaev, L. A. Klimina, B. Ia. Lokshin, S. Iu. Mesniankin, Iu. D. Seliutskii, Ob eksperimentalnom issledovanii malogabaritnoi gorizontalno-osevoi BEU, Otchet o NIR No 5148, Nii mekhaniki MGU, 2011, 45 pp.