# MATHEMATICAL SIMULATION OF AUTONOMOUS WIND INSTALLATION WITH SYNCHRONOUS MAGNETO-ELECTRIC TYPE GENERATOR

• V. Golovko Institute of Renewable Energy of NAS of Ukraine, 02094, 20A, Hnat Khotkevich Str., Kyiv, Ukraine
• M. Kovalenko National Technical University of Ukraine «Igor Sikorsky Kyiv Polytechnic Institute», 03056, 37 Peremohy Av., Kyiv, Ukraine.
• I Kovalenko National Technical University of Ukraine «Igor Sikorsky Kyiv Polytechnic Institute», 03056, 37 Peremohy Av., Kyiv, Ukraine
• I. Halasun Institute of Renewable Energy of the National Academy of Sciences of Ukraine, 02094, 20A Hnata Khotkevycha St., Kyiv, Ukraine. National Technical University of Ukraine «Igor Sikorsky Kyiv Polytechnic Institute», 03056, 37 Peremohy Av., Kyiv, Ukraine.
Keywords: wind turbine, synchronous generator, energy characteristics of wind turbine.

### Abstract

One of the ways to increase the efficiency of wind energy conversion is to improve the design of known generators or the development of fundamentally new types of generators. The nature of wind is variable, so the urgent task is to use the maximum possible wind potential in electromechanical energy conversion. The rigid dependence of the power on the rotor shaft of the wind turbine on the aerodynamic characteristics of the blades is known and implemented in engineering solutions, but the coordination of the obtained power with the power of the electric machine connected to the rotor requires additional research. A numerical mathematical model has been developed to study the parameters and characteristics of a synchronous generator with permanent magnets, which takes into account the two-sided stator core and the aerodynamic parameters of the wind turbine rotor. At low wind speeds (3-5 m / s) the generator voltage is at half its maximum, which is explained by the aerodynamic parameters of the rotor and the parameters of the generator. At higher values of wind speed (6-7 m / s) the minimum value of the voltage at the output of the generator is reaching its maximum at 18 V and 26 V with increasing speed of the generator, due to increasing EMF rotation, followed by voltage drops to 6 V and 16 V i n відповідно до зростання аеродинамічних втрат в роторі вітрогенератора. Відповідні максимуми на кривих напруги відповідають максимумам вихідної активної потужності 45 Вт .

Результати моделювання механічних характеристик вітрогенератора та генератора підтверджують адекватність розробленої моделі та надійність результатів, що дозволяє використовувати цю модель для подальших досліджень та оцінки методів та засобів підвищення ефективності перетворення енергії вітру. Ref . 6, табл. 1, рис. 8.

### Author Biographies

V. Golovko, Institute of Renewable Energy of NAS of Ukraine, 02094, 20A, Hnat Khotkevich Str., Kyiv, Ukraine

Author information: chief researcher at Institute of Renewable Energy, National Academy of Sciences of Ukraine.
Education: graduated from the Ukrainian Agricultural Academy in 1977 with the degree of "Electrification of Agriculture".
Research area: renewable sources of energy, wind power systems, small capacity wind units, autonomous power systems.
Publications: 168

M. Kovalenko, National Technical University of Ukraine «Igor Sikorsky Kyiv Polytechnic Institute», 03056, 37 Peremohy Av., Kyiv, Ukraine.

Author information: candidate of technical sciences, associate professor of Electromechanics, National Technical University of Ukraine «Kyiv Polytechnic Institute named after Igor Sikorsky», associate professor.
Education: National Technical University of Ukraine «Kyiv Polytechnic Institute named after Igor Sikorsky». Specialty - electric machines and devices.
Research area: electric machines.
Publications: 67.

I Kovalenko, National Technical University of Ukraine «Igor Sikorsky Kyiv Polytechnic Institute», 03056, 37 Peremohy Av., Kyiv, Ukraine

Author information: Postgraduate student of the Department of Renewable Energy of National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”
Education: graduated from the National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute” in 2010 with the specialization “ Renewable sources of energy ”.
Research area: renewable sources of energy, wind power systems, electric generator
Publications: 4.

I. Halasun, Institute of Renewable Energy of the National Academy of Sciences of Ukraine, 02094, 20A Hnata Khotkevycha St., Kyiv, Ukraine. National Technical University of Ukraine «Igor Sikorsky Kyiv Polytechnic Institute», 03056, 37 Peremohy Av., Kyiv, Ukraine.

Author information: Engineer of the II category of the Institute of Renewable Energy of the National Academy of Sciences of Ukraine.
Education: Bachelor , National Technical University of Ukraine “Kyiv  Polytechnic Institute”, Faculty of Electric Power Engineering and Automation, Department of Renewable Sources of Energy.
Research area: renewable energy sources, wind energy.
Publications: 2.

### References

1. Holovko V.M., Monakhov Ye.A., Ponomarov O.I., Kovalenko I.Ya. Porivnyannya tradytsiynoho heneratora iz postiynymy mahnitamy z tortsevym heneratorom iz dvostoronnoyu aktyvnoyu poverkhneyu dlya vitroustanovok.
[Comparison of a traditional generator with permanent magnets with an end generator with a double-sided active surface for wind turbines]. Vidnovluvana energetika. 2018. No. 2(53). Pp. 29-37. [in Ukrainian].
2. Kovalenko M.A., Vaskovskyy Yu.M., Haydenko Yu.A. Matematychne modelyuvannya elektrychnykh mashyn z postiynymy mahnitamy. [Mathematical modeling of electric machines with permanent magnets.]. National Technical University of Ukraine. 2017. 193 p. [in Ukrainian].
3. Chumak V.V., Kovalenko M.A., Kovalenko I.Ya. Analitychnyy ohlyad elektromekhanichnykh peretvoryuvachiv enerhiyi dlya vitrovoyi enerhetyky. [Analytical review of electromechanical energy converters for wind energy]. Ekolohichni nauky. 2018. No. 2(21). Pp. 25-35. [in Ukrainian].
4. Chumak V.V., Kovalenko M.A. Tsyvinskyy S.S., Tkachuk I.V., Ponomarov O.I. Mathemathical modeling of a Synchronous generator with combined excitation. Eastern-European Journal of Enterprise Technologies. 2020. No. 1/5 (103). C. 30-36. [in English].
5. Chumak V.V., Kovalenko M.A., Ponomarov O.Y. Trekhmernaya matematycheskaya model mahnytoélektrycheskoho synkhronnoho heneratora s postoyannymy mahnytamy. [Three-dimensional mathematical model of a magnetoelectric synchronous generator with permanent magnets]. Hidroenerhetyka Ukrayiny. 2016. No. 3-4. Pp. 36-39. [in Ukrainian].
6. Chumak V.V., Petrenko A.V., Kovalenko M.A., Ponomarev A.Y. Upravlyaemyy avtonomnyy synkhronnyy mahnytoelektrycheskyy henerator s mahnytnym shuntom dlya enerhosnabzhenyya selskokhozyaystvennoho kompleksa. [Controlled stand-alone synchronous magnetoelectric generator with magnetic shunt for power supply of agricultural complex]. Naukovyy visnyk NUBiP Ukrayiny. Seriya: Tekhnika ta enerhetyka APK. 2017. No. 242. Pp. 18-24. [in Ukrainian].

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