Comparative analysis of mass and cost indicators of single-phase transformers and reactors with rectangular and hexagranium cross sections of armored rods twisted magnetic core

UDC 621.314

А. Sadovuy, assistant
А. Cherepovskaya, 4th year student
Mykolaiv National Agrarian University

Goal.To implement new technical solutions to improve the configuration of magnetic circuits of active elements. To develop mathematical models of optimization comparative analysis of electromagnetic system variants of single-phase transformers with a twisted magnetic core.
Methodology.To solve the problems of practical use of new designs of the active part of single-phase EMC, it is necessary to carry out an optimization comparative analysis of mass and cost indicators. ISС optimization is performed on the basis of mathematical models with partial or integral optimization criteria, while observing the identity of power, electromagnetic load and voltage of the windings, taking into account a set of independent and dependent control variables.
Results.The main technical solutions of electromagnetic systems of single-phase transformers are proposed, and also mathematical models of quadrilateral and hexagonal EMC of the compared variants are given. It is shown that existing twisted single-phase induction static devices do not sufficiently satisfy the requirements of compactness and reliability of electrical engineering and radio electronic devices. Improvement of reliability and mass and cost indexes are achieved on the basis of the use of “wasteless” technology for the production of twisted magnetic cores.
Originality.The structural transformation of single-phase induction static devices with a twisted magnetic core is considered for the first time in order to reduce resource intensity and increase reliability. The transformation of structures is based on the use of combined twisted elements of a trapezoidal cross-section of hexagonal sections of rods. Thus, the longevity of the insulation increases depending on the change in the bending of coil turns in the angular zones from 90 ° to 120 °, and the material capacity decreases by 6-6.9%.
Practical value.The proposed solutions and the method of structural optimization will allow to reduce the indices of the mass and the loss of active power of the ISU based on the twisted magnetic circuit for electrical equipment of various equipment. References – 8, figures – 1, tables.

Keyword: single-phase transformer and reactor, twisted magnetic core, mass-index indicators, optimization, controlled variables.

Comparative analysis of mass and cost indicators of single-phase transformers and reactors with rectangular and hexagranium cross sections of armored rods twisted magnetic core.

References:
1. Stavinskiy A.A. Genezis struktur i predposyilki usovershenstvovaniya transformatorov i reaktorov preobrazovaniem konturov elektromagnitnyih sistem (sistemyi s shihtovannyimi i vityimi magnitoprovodami) / A.A. Stavinskiy // Elektrotehnіka і elektromehanіka. –2011.– #6 – s.33–38.
2. Balyan R.H. Transformatoryi dlya radioelektriki. – M.: Sov. Radio, 1971.-720s.
3. Tihomirov P.M. Raschet transformatorov: Uchebnoe posobie dlya vuzov. – 5-e izd. Pererab. i dop. – M.: Energoatomizdat, 1986 – 528s.
4. Flanagan W.M. Handbook of transformers desing and application / W.M. Flanagan. – Boston : Mc Graw Hill, 1993. – 232 p.
5. Sadovoy A.S. Variantyi i preobrazovanie struktur odnofaznyih transformatorov i reaktorov s vityimi magnitoprovodami / A.S. Sadovoy – Visnik Kremenchutskogo natsіonalnogo unіversitetu Imenі Mihayla Оstrogradskogo. – Kremenchuk : KrNU, 2017. – Vip. 2/2017(103). – S.15- 20.
6. Patent na korisnu model #65005. Ukraina. Magnіtoprovіd іnduktsіynogo statichnogo pristroyu. [Tekst] / Stavinskiy A.A., Stavinskiy R.A., Avdeeva O.A., Sadoviy O.S., Tsiganov O.M. – #u201104986; zayav. 20.04.11 ; opub. 25.11.11, Byul. #22. – 3 s. : il.
7. Stavinskiy R.A. Netraditsionnyie tehnicheskie resheniya, postanovka zadachi i metod strukturnoy optimizatsii induktsionnyih staticheskih ustroystv // Vіsnik KDU. – Kremenchuk: KDU, 2010. – Vip 4 / 2010(63), ch.2. – S.91-94.
8. Stavinskiy A.A. Metod sravnitelnogo analiza staticheskih elektromagnitnyih sistem, otlichayuschihsya strukturoy i konfiguratsiey elementov / A.A. Stavinskiy R.A. Stavinskiy, E.A. Avdeeva // Electrotechnic and computer systems. : Scientific and Technical Journal. – #14 (90) – Odessa, 2014.– S.53-60.

Issue 3 (95), 2017

Comparative analysis weight-and-cost indicators singlephase transformers and reactors with rectangular and hexagonal crosssections of rods of twisted magnetic core

UDC 621.3.042

A. Sadovoy

At this time, single-phase transformers and reactors are widely used in various fields of electrical engineering and one of the main metal elements of electrical engineering complexes. Therefore there are requirements to reduce material consumption and losses. The improvement of static induction devices leads to increasing the technical level of complexes in general. One of the most common designs of electromagnetic systems of single-phase induction static devices is a planar rod with twisted or laminated magnetic cores.
Solving the problem of comparative structural analysis it is used the method of optimizing the objective function which contains the technical conditions of the dimensionless parameters, and also the relative geometric controlled variables. Extremum relative components of the objective function is a function of the winding box winding conductive material and three universal identical geometric controlled variables are applied to any of the existing options of electromagnetic systems.
In these embodiments, according to the principle of equivalence of electromagnetic the same materials are used and the average numbers of the amplitudes of the magnetic induction flux in the rods and yokes are used. The filling factor of magnetic by steel is important, as well as methods of cooling performance and static induction devices.
The results of the comparative analysis of mathematical models have shown that the design of a twisted magnetic rod with hexagonal rods provides a significant reduction in the average weight and cost of a single-phase electromagnetic systems, according to equivalents with rectangular cross-section rods.

Key words: magnetic core, single-phase transformer, weight-and-cost indicator, controllable geometric variables.

Comparative analysis weight-and-cost indicators singlephase transformers and reactors with rectangular and hexagonal crosssections of rods of twisted magnetic core.

References:
1. Bal’jan R.H. Transformatory dlja radiojelektriki. – M.: Sov. Radio, 1971.-720s.
2. Tihomirov P.M. Raschet transformatorov: Uchebnoe posobie dlja vuzov. – 5-e izd. Pererab. i dop. – M.: Jenergoatomizdat, 1986 – 528s.
3. Majorec A.M. Magnitoprovody silovyh transformatorov (tehnologija i oborudovanie) / A.M. Majorec, G.I. Pshenichnyj, Ja.Z. Checheljuk i dr. : – M. : Jenergija, 1973 –272 s.
4. Patent na korisnu model’ №65005. Ukraїna. Magnіtoprovіd іndukcіjnogo statichnogo pristroju. [Tekst] / Stavins’kij A.A., Stavins’kij R.A., Stavins’ka O.A., Sadovij O.S.,Ciganov O.M. – №u201104986; zajav. 20.04.11 ; opub. 25.11.11, Bjul. №22. – 3 s. : il.
5. Stavinskij R.A. Netradicionnye tehnicheskie reshenija, postanovka zadachi i metod strukturnoj optimizacii indukcionnyh staticheskih ustrojstv // Vіsnik KDU. – Kremenchuk: KDU, 2010. – Vip 4 / 2010(63), ch.2. – S.91-94.
6. Stavins’kij A.A. Metod sravnitel’nogo analiza staticheskih jelektromagnitnyh sistem, otlichajushhihsja strukturoj i konfiguraciej jelementov / A.A. Stavins’kij R.A. Stavins’kij, E.A. Avdeeva // Jelektrotehnicheskie i komp’juternye sistemy. : Nauchno-tehnicheskij zhurnal. – №14 (90) – Odessa, 2014.– S.53-60
7. Blincov V. S. Transformatory dlja vstraivanija v obolochki ogranichennogo diametra ob#ektov special’noj tehniki i postanovka zadachi ih usovershenstvovanija / V. S. Blincov, R. A. Stavinskij, E. A. Avdeeva, A. S. Sadovoj // Elektrotehnіka і elektromehanіka : naukovo-praktichnij zhurnal. – № 2 – Harkіv, 2012. – S. 16–21.

Issue 4 (92), 2016