 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4760 |
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| << Previous article | Volume 44, Issue 2 / 2009 | Next article >> |
| M. Z. Dosaev, V. A. Samsonov, Yu. D. Selyutskii, Wen-Lung Lu, and Ching-Huei Lin, "Bifurcation of operation modes of small wind power stations and optimization of their characteristics," Mech. Solids. 44 (2), 214-221 (2009) |
| Year |
2009 |
Volume |
44 |
Number |
2 |
Pages |
214-221 |
| DOI |
10.3103/S002565440902006X |
| Title |
Bifurcation of operation modes of small wind power stations and optimization of their characteristics |
| Author(s) |
M. Z. Dosaev (Institute of Mechanics, Lomonosov Moscow State University, Michurinskii pr-t 1, Moscow, 119192, Russia, maratdz@mail.ru)
V. A. Samsonov (Institute of Mechanics, Lomonosov Moscow State University, Michurinskii pr-t 1, Moscow, 119192, Russia, samson@imec.msu.ru)
Yu. D. Selyutskii (Institute of Mechanics, Lomonosov Moscow State University, Michurinskii pr-t 1, Moscow, 119192, Russia, seliytski@imec.msu.ru)
Wen-Lung Lu (Ching Yun University, 229 Chien-Hsin Road, Jung-Li, 320, Taiwan, Republic of China)
Ching-Huei Lin (Ching Yun University, 229 Chien-Hsin Road, Jung-Li, 320, Taiwan, Republic of China) |
| Abstract |
Wind stations of small power (small WPS) are intended to ensure the operation of a small number of electric devices. Under these conditions, the connection of even a single additional consumer may result in operation disturbances. In [1, 2], a mathematical model of a small WPS operation was proposed, which allowed a qualitative explanation of the energy output hysteresis phenomenon experimentally observed under variation in the external load. In the present paper, on the basis of this model, we study the problems of existence and stability of steady-state modes and describe their attraction domains. We show that there exist different types of bifurcations of these modes, which result, in particular, in the onset of finite-amplitude periodic motions. For the first time, the performance of a power plant is estimated by the maximal consumption power criterion. The results are compared with the results obtained by other criteria. |
| References |
| 1. | M. Z. Dosaev, V. A. Samsonov, Yu. D. Selyutskii, Wen-Lung Lu, and Ching-Huei Lin, "On a Singularity of Operation of Small Wind Power Stations," Vestnik MEI, No. 1, 147–151 (2007). |
| 2. | M. Z. Dosaev, V. A. Samsonov, and Yu. D. Selyutskii, "On the Dynamics of a Small-Scale Wind Power Generator," Dokl. Akad. Nauk 416(1), 50–53 (2007) [Dokl. Phys. (Engl. Transl.) 52 (9), 493–495 (2007)]. |
| 3. | V. A. Samsonov, "On the Feasibility of Stabilizing Steady Motions of Systems with Pseudo-Ignorable Coordinates," Prikl. Mat. Mekh. 45(3), 512–520 (1981) [J. Appl. Math. Mech. (Engl. Transl.) 45 (3), 374–379 (1981)]. |
| 4. | A. N. Zenkin, V. A. Privalov, and V. A. Samsonov, "Quasi-Static Model of Action of a Medium on an Autorotating Body," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 4, 73–78 (1993) [Mech. Solids (Engl. Transl.) 28 (4), 64–69 (1993)]. |
| 5. | Yu. D. Selyutskii, "On Dynamics of Wind Turbines with Horizontal Axis," in Proceedings of the Conference-Competition of Young Scientists of Institute of Mechanics of Lomonosov Moscow State University (Izdvo MGU, Moscow, 2007), pp. 47–52. |
| 6. | M. Z. Dosaev, L. A. Klimina, B. Ya. Lokshin, et al., "On Stationary Modes of Operation of Wind Turbines," in Proc. IX Intern. Chetaev Conf. "Analytical Mechanics, Stability and Control of Motion," Vol. 2 (Irkutsk, 2007), pp. 69–76. |
| 7. | I. V. Novozhilov, Fractional Analysis (Izd-vo MGU, Moscow, 1995) [in Russian]. |
| 8. | N. N. Bautin and E. A. Leontovich, Methods and Tools for a Qualitative Investigation of Dynamical Systems on Plane (Nauka, Moscow, 1976) [in Russian]. |
| 9. | V. P. Kharitonov, Autonomous Wind-Driven Electric Plants (Izd-vo GNU VIESKh, Moscow, 2006) [in Russian]. |
|
| Received |
21 September 2007 |
| Link to Fulltext |
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