Реджабов Зайлобиддин1, Гуломов Ахмадулло1, Абдурашидов Елдорбек1
1Андижанский машиностроительный институт

EQUATIONS OF MAGNETIC FORCE OF A PHASE ROTOR INDUCTION MOTOR

Rejabov Zaylobitdin1, Gulomov Ahmadullo1, Abdurashidov Eldorbek1
1Andijon machine-building institute

Keywords: asynchronous motor, magnetic force, phase rotor induction motor


Рубрика: 05.00.00 ТЕХНИЧЕСКИЕ НАУКИ

Библиографическая ссылка на статью:
Реджабов З., Гуломов А., Абдурашидов Е. Equations of magnetic force of a phase rotor induction motor // Современные научные исследования и инновации. 2022. № 1 [Электронный ресурс]. URL: https://web.snauka.ru/issues/2022/01/97368 (дата обращения: 21.05.2024).

New methods and tools are being developed for control of the reactive power consumption in asynchronous motors and to expand the capabilities of control system elements and devices. The use of measuring flat measuring windings as sensor elements of system of control and automatization of reactive power consumption in asynchronous motors provides unified values of output current – 100 mA and voltage – 20V [1-2].
The reactive power consumption of an asinchronous motor can be described as follows equation [3-4]

     (1)

where  –salt walking current; Q0 and Qs are the reactive powers in the stand-alone and short-circuit (scattering) modes, the value of Qs depends on the applied load current of the motor.
The reactive power consumption of an asynchronous motor varies from the load-dependent reactive power Qo to the nominal load Qnom, while the reactive power at the motor nominal load varies. It can be seen from the working description that the cosφ value has the smallest value in the regime, with the have highest speed (Fig. 1, b).
The reactive power consumed by an inductionous motor at rated voltage is as follows:

      (2)

where β is the load factor of the asynchronous motor.
According to the reference data, the nominal reactive power of an induction motor can be determined as:

       (3)

where ηnom is the nominal UEC of the engine; tgφnom - a value corresponding to сosφномРnom is the rated active power of the motor at rated voltage.
In asynchronous motors in the single-stroke mode сosφ0=0,1 – 0,2 and the corresponding sinφ0=0,99 – 0,97. Considering the small size of the steel core and mechanical losses during the activity, can be get as sinφ0=1
The of three-phase reactive power consumption determined as follows:

or according to (1.3)

      (4)

The reactive power of the motor scattering currents, depending on the load, is presented as follows:

      (5)

By pouring the quantities Qand QS into (2), will obtained the equation for determining total reactive power consumption by an induction motor:

      (6)

where P, tgφ, and η are the quantities corresponding to the known load of the engine. (6) shows that the reactive power consumption of induction motors depends on its load in the operating mode
Load factor will determined as:

       (7)

The change of reactive power consumption in asynchronous motors depends on the change in stator current (load current). From equation (6) and (7) understanding, that obtaining information about the value of stator current in the supply of reactive power to asynchronous motors through accurate, fast, continuous and uncomplicated changes, expands the capabilities of asynchronous motor reactive power control and control system and energy-resource savings leads. In determining the value of the stator current of an asynchronous motor, mainly the elements of the measuring and control systems are connected to the mains via measuring transformers or electromagnetic current transducers. The criteria such as output values of unified values, errors, and time are minimal size. The use of a measuring element located directly in the stator part of motor and the magnetic system in determining the stator current value for asynchronous motor reactive power control and automation systems satisfies the above criteria [3].
The measuring element between the main stator winding in the stator groove and the dielectric tqin (wedge, which can also be special wood) allows to detect changes in the scattering current Фσ1, which causes the consumption of reactive power.
In this case, as a measuring element is taken flat measuring windings.
The main reason for this is to obtain a magnitude in the form of voltage from the measuring coil transforming to the change of the main magnetic flux Ф1 in the stator part of the asynchronous motor [4].
Derive of the value of voltage obtained from the measuring coil from the value of the stator current.
When the outputs of the asynchronous motor stator winding are connected to a voltage power supply U1, the main current Фand the scattering magnetic currents Фσ are generated by the current I1 in the winding
For the stator circuit, applying Kirchhoff’s second law can be reaseached switching scheme given in Figure 1.a

      (8)

where L1, Lµ - are the inductances of the stator winding and the magnetic field, respectively; U1 - stator winding phase; I1, Iµ - currents of stator windings and magnetizing substations;  stator scattering current and main current.
After some modifications, equation (8) becomes

      (9)

From equation (9) will finded on the basic of magnetic flux.

      (10)

Move from the vector view of the main magnetic flux to the effect value:

      (11).

where Z1=R1+jX1 is the total resistance of the stator winding.
The measuring coil we are proposing is a transformer-like secondary coil relative to the stator coil, from which voltage is formed as a result of the passage of the main magnetic flux Ф1. The value that affects this voltage is as follows

      (12)

w2 –is the number of wraps of the measuring tape
Puting (11) to (12) will get next

      (13)

Where - is the transformation coefficient of the stator winding relative to the measuring windin.
On the basis of using and installing flat measure windings in inside of asynchronous motor and connecting their output voltage to measuring and control devices assumed that, this measuring tape is working properly (Еmeas/=Umeas.) (13) the value of the mains voltage U1 does not change, the Umeas. at the output of the measuring windings. The output voltage value is linearly related to the change in stator current value.


References
  1. Усольцев А.А. Частотное управление асинхронными двигателями/Учебное пособие. СПб: СПбГУ ИТМО, 2006, – 94 с.
  2. Кабышев А.В. Компенсация  реактивной  мощности  в  электроустановках промышленных предприятий: учебное пособие/Томский  политехнический  университет. – Томск:  Изд-во  Томского политехнического университета, 2012. – 234 с.
  3. Siddikov I. Kh., Boikhonov Z. U., Karimjonov D. D. Elements And Devices For Monitoring And Controlof Energy Efficiency. The American Journal of Engineering and Technology (ISSN – 2689-0984) Published: September 29, 2020 | Pages: 136-148.
  4. Siddikov I. Kh., Boikhonov Z. U, Makhsudov M. T., Uzaqov. R. Features productions reactive power onsystems electrical supply with renewable sources energies. Academicia: an international multidisciplinary research journal vol. 10, issue 6, June 2020  Pages: 292-296
  5. I.Kh.Siddikov,  Kh.A,Sattarov.,  A.B.Abubakirov.,  M.A.Anarbaev., I.M.Khonturaev., M.Maxsudov. Research of transforming circuits of electromagnets sensor with distributed parameters, 10th International Symposium  on  intelegent  Manufacturing  and  Service  Systems.9-11 September 2019. Sakarya.Turkey. c. 831-837
  6. I.Kh.Siddikov.  The  Electromagnetic  Transducers  of  Asymmetry  of Three-phases  Electrical  Currents  to  Voltage.  Universal  Journal  of Electrical  and  Electronic  Engineering.  Horizon  Research  Publishing Corporation USA. 2015, Vol.3, N5,-p.146–148. http://www.hrpub.org
  7. I.Kh.Siddikov, M.A.Anarbaev, M.T. Makhsudov. Signal converters of current  magnitude  for  control  systems  of  reactive  power  sources  // Scientific  and  technical  journal  “Engineering  and  Construction Journal  of  the  Prikaspia»  (ISSN:2312-3702).http://агасу.рф/journal/isvp/1-23-2018/informacionnye-sistemy-i-texnologii-3
  8. I.Kh.Siddikov,  Kh.A.Sattarov,  Kh.E.Khujamatov  Modeling  of  the elements and devices of energy control systems // Materials of the XII MNTK  “Prospects  for  the  development  of  the  building  complex: education, science, business” Astrakhan, October 10–11, 2018. 348-349 p.
  9. I.Kh.Siddikov,    Kh.A.Sattarov,  Kh.  Khujamatov.,  I.Xonturaev, Maksudov  M.,  Najmatdinov  K.,  Abubakirov  A.,  Bojanic  Slobodan. Modeling of magnetic circuits of electromagnetic transducers of the three-phases current // Materials of the XII MNTK “Prospects for the development of the building complex: education, science, business”. Astrakhan,  October  10–11.  2018.  331-336p.http://агасу.рф/nauka222/7646-XII-mezhdunarodnaya-nauchno-prakticheskaya-konferentsiya-perspektivy-sotsialno-ekonomicheskogo-razvitiya-stran-i-regionov.html.
  10. И. Х. Сиддиков, Ю. А. Лежнина, И. М. Хонтураев, М. Т. Максудов, А. А. Абдумаликов. Исследование показателей надежности и вероятности  работоспособности    датчиков  контроля    и  управления  энергопотреблением  //  Инженерно-строительный вестник Прикаспия : научно-технический журнал / Астраханский государственный архитектурно-строительный университет. Астрахань : ГАОУ АО ВО «АГАСУ», 2020. № 1 (31). С. 74–78.
  11. I.Kh.Siddikov,  Kh.A.Sattarov,  Kh.E.Khujamatov,  O.R.Dexkhonov, M.R.Agzamova  Modelling  of  Magnet  Circuits  of  Electromagnetic Transducers  of  the  Three-Phases  Current.Collection  of  the materials.14th  International  Scientific  Technical  Conference  On Actual  Problems  Of  Electronic  Instrument  Engineering    (APEIE-2018)”- 44894 Proceedings, V.1, Р.5, 2-6 October, 2018. –p.p. 419-42, https://www.scopus.com/authid/detail.uri?authorId=56230037700
  12. И. Х. Сиддиков, Ю. А. Лежнина, И. М. Хонтураев, М. Т. Максудов, А. А. Абдумаликов. Исследование показателей надежности и вероятности  работоспособности  датчиков  контроля и управления энергопотреблением  //  Инженерно-строительный вестник Прикаспия : научно-технический журнал / Астраханский государственный архитектурно-строительный университет. Астрахань : ГАОУ АО ВО «АГАСУ», 2020. № 1 (31). С. 74–78.
  13. Siddikov, I.Kh. The Electromagnetic Transducers of Asymmetry of Three-phases Electrical Currents to Voltage / I.Kh. Siddikov // Universal Journal of Electrical and Electronic Engineering. Horizon Research Publishing Corporation USA. – 2015. – Vol.3 (N5). – P.146–148.
  14. Махсудов М.Т., Анарбаев М.А., Сиддиков И.Х. Электромагнитные преобразователи тока для управления источниками реактивной мощности // Universum: Технические науки : электрон. научн. журн. 2019. № 3(60). URL: http://7universum.com/ru/tech/archive/item/7095
  15. I.Kh.  Siddikov,  A.B.Abubakirov,  А.А.  Yuldashev,  G.Z.  Babaxova, I.М.  Xonturaev,  N.N.  Mirzoev.  «Мethodology  of  calculation  of techno-economic indices of application of sources of reactive power». European science review, Scientific journal. No 1–2. Austria, Vienna. 2018. 248-251 p.
  16. I.Petrova,  V.  Zaripova,  Yu.  Lezhnina,  I.Kh.Siddikov.  Automated system  for  synthesis  of  sensors  for  smart  cities.  XXII  International Scientific  Conference  on  Advanced  In  Civil  Engineering “CONSTRUCTION  THE  FORMATION  OF  LIVING ENVIRONMENT’,  Tashkent,  Uzbekistan,  18-21  April,  2019  E3S Web  of  Conferences  eISSN:  2267-1242. https://www.scopus.com/record/display.uri?eid=2-s2.085067281218&origin=resultslist
  17. Сиддиков И.Х., Анарбаев М.А., Махсудов М. Т. Преобразователи сигнала величины тока для систем управления источниками реактивной  мощности  // Инженерно-строительный  вестник  Прикаспия  :  научно-технический  журнал  / Астраханский государственный архитектурно-строительный университет. Астрахань : ГАОУ АО ВО «АГАСУ», 2018. № 1 (23). С. 53–56.
  18. Siddikov I. Kh., Khakimov M. Kh., Anarbaev M., Bedritskiy I. M. Research of the electromagnetic transducers of the primary current to secondary voltage // Science and Education. Materials of the II International Research and practice conference. Vol. I, Publishing office of «Vela Verlag Waldkraiburg», Munich. Germany. Decembеr. 18–19. 2012. P. 222–225.
  19. Siddikov I.K., Sattarov Kh.A., Khujamatov Kh.E., Dekhkonov O.R. Agzamova M. Modeling of Magnetic Circuits of Electromagnetic Transducers of the Three-phases Current // 2018 14th International Scientific – Technical Conference On Actual Problems of Electronic Instrument Engineering (Apeie) Proceedings. In 8 Volume Part 5 Novosibirsk 2018;
  20. Azimov R.K., Siddikov I.Kh., Kurbanova M.Zh., Anarbaev M.A., Siddikov O.I., Mamatkulov A.N. Current-to-voltage converter // Patent RUz IAP0490B.I. No. 6,2014
  21. Allaev K.R., Azimov R.K., Kholiddinov I.Kh., Khasanov M.Yu., Akhmedov N.Zh. Electromagnetic converter of asymmetry of three-phase current into voltage // Patent RUz IAP 05383 B.I. No. 4, 2017
  22. Маматкулов А.Н., Сиддиков И.Х. Принципы построения преобразователей тока в напряжение  с расширенными функциональными возможностями//Вестник ТашГТУ. – Ташкент, 2010. – №3. –С.73-76.


Все статьи автора «Режабов Зайлобиддин Маматович»


© Если вы обнаружили нарушение авторских или смежных прав, пожалуйста, незамедлительно сообщите нам об этом по электронной почте или через форму обратной связи.

Связь с автором (комментарии/рецензии к статье)

Оставить комментарий

Вы должны авторизоваться, чтобы оставить комментарий.

Если Вы еще не зарегистрированы на сайте, то Вам необходимо зарегистрироваться:
  • Регистрация