35 research outputs found

    Π¦Π•Π›Π•Π’Π«Π• ЀУНКЦИИ Π‘Π ΠΠ’ΠΠ˜Π’Π•Π›Π¬ΠΠžΠ“Πž ΠΠΠΠ›Π˜Π—Π Π­ΠΠ•Π Π“Π•Π’Π˜Π§Π•Π‘ΠšΠžΠ™ Π­Π€Π€Π•ΠšΠ’Π˜Π’ΠΠžΠ‘Π’Π˜ Π­Π›Π•ΠšΠ’Π ΠžΠœΠΠ“ΠΠ˜Π’ΠΠ«Π₯ Π‘Π˜Π‘Π’Π•Πœ АБИНΠ₯РОННЫΠ₯ Π”Π’Π˜Π“ΠΠ’Π•Π›Π•Π™ Π‘ Π’ΠΠ£Π’Π Π•ΠΠΠ˜ΠœΠ˜ И Π’ΠΠ•Π¨ΠΠ˜ΠœΠ˜ РОВОРАМИ

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    The analytical expressions of determining the optimum geometric dimensions by criteria of the basic losses minimum of the structural variants of the electromagnetic system of the induction squirrel-cage motor with inner and outer rotors based on the method of the relative indications of the technical level with relative controlled variables are obtained and the comparative analysis of the losses indications is carried out.На основС ΠΌΠ΅Ρ‚ΠΎΠ΄Π° ΠΎΡ‚Π½ΠΎΡΠΈΡ‚Π΅Π»ΡŒΠ½Ρ‹Ρ… ΠΏΠΎΠΊΠ°Π·Π°Ρ‚Π΅Π»Π΅ΠΉ тСхничСского уровня с ΠΎΡ‚Π½ΠΎΡΠΈΡ‚Π΅Π»ΡŒΠ½Ρ‹ΠΌΠΈ управляСмыми ΠΏΠ΅Ρ€Π΅ΠΌΠ΅Π½Π½Ρ‹ΠΌΠΈ ΠΏΠΎΠ»ΡƒΡ‡Π΅Π½Ρ‹ аналитичСскиС зависимости опрСдСлСния ΠΎΠΏΡ‚ΠΈΠΌΠ°Π»ΡŒΠ½Ρ‹Ρ… гСомСтричСских ΡΠΎΠΎΡ‚Π½ΠΎΡˆΠ΅Π½ΠΈΠΉ структурных Π²Π°Ρ€ΠΈΠ°Π½Ρ‚ΠΎΠ² элСктромагнитной систСмы асинхронного ΠΊΠΎΡ€ΠΎΡ‚ΠΊΠΎΠ·Π°ΠΌΠΊΠ½ΡƒΡ‚ΠΎΠ³ΠΎ двигатСля с Π²Π½ΡƒΡ‚Ρ€Π΅Π½Π½ΠΈΠΌ ΠΈ внСшним Ρ€ΠΎΡ‚ΠΎΡ€Π°ΠΌΠΈ ΠΏΠΎ ΠΊΡ€ΠΈΡ‚Π΅Ρ€ΠΈΡŽ ΠΌΠΈΠ½ΠΈΠΌΡƒΠΌΠ° основных ΠΏΠΎΡ‚Π΅Ρ€ΡŒ ΠΈ Π²Ρ‹ΠΏΠΎΠ»Π½Π΅Π½ ΡΡ€Π°Π²Π½ΠΈΡ‚Π΅Π»ΡŒΠ½Ρ‹ΠΉ Π°Π½Π°Π»ΠΈΠ· ΠΏΠΎΠΊΠ°Π·Π°Ρ‚Π΅Π»Π΅ΠΉ ΠΏΠΎΡ‚Π΅Ρ€ΡŒ Ρ‚Π°ΠΊΠΈΡ… Π²Π°Ρ€ΠΈΠ°Π½Ρ‚ΠΎΠ².На основі ΠΌΠ΅Ρ‚ΠΎΠ΄Ρƒ відносних ΠΏΠΎΠΊΠ°Π·Π½ΠΈΠΊΡ–Π² Ρ‚Π΅Ρ…Π½Ρ–Ρ‡Π½ΠΎΠ³ΠΎ рівня Π· відносними ΠΊΠ΅Ρ€ΠΎΠ²Π°Π½ΠΈΠΌΠΈ Π·ΠΌΡ–Π½Π½ΠΈΠΌΠΈ ΠΎΡ‚Ρ€ΠΈΠΌΠ°Π½Ρ– Π°Π½Π°Π»Ρ–Ρ‚ΠΈΡ‡Π½Ρ– залСТності визначСння ΠΎΠΏΡ‚ΠΈΠΌΠ°Π»ΡŒΠ½ΠΈΡ… Π³Π΅ΠΎΠΌΠ΅Ρ‚Ρ€ΠΈΡ‡Π½ΠΈΡ… ΡΠΏΡ–Π²Π²Ρ–Π΄Π½ΠΎΡˆΠ΅Π½ΡŒ структурних Π²Π°Ρ€Ρ–Π°Π½Ρ‚Ρ–Π² Π΅Π»Π΅ΠΊΡ‚Ρ€ΠΎΠΌΠ°Π³Π½Ρ–Ρ‚Π½ΠΎΡ— систСми асинхронного ΠΊΠΎΡ€ΠΎΡ‚ΠΊΠΎΠ·Π°ΠΌΠΊΠ½Π΅Π½ΠΎΠ³ΠΎ Π΄Π²ΠΈΠ³ΡƒΠ½Π° Π· Π²Π½ΡƒΡ‚Ρ€Ρ–ΡˆΠ½Ρ–ΠΌ Ρ‚Π° Π·ΠΎΠ²Π½Ρ–ΡˆΠ½Ρ–ΠΌ Ρ€ΠΎΡ‚ΠΎΡ€Π°ΠΌΠΈ Π·Π° ΠΊΡ€ΠΈΡ‚Π΅Ρ€Ρ–Ρ”ΠΌ ΠΌΡ–Π½Ρ–ΠΌΡƒΠΌΡƒ основних ΡƒΡ‚Ρ€Π°Ρ‚ Ρ‚Π° Π²ΠΈΠΊΠΎΠ½Π°Π½ΠΎ ΠΏΠΎΡ€Ρ–Π²Π½ΡΠ»ΡŒΠ½ΠΈΠΉ Π°Π½Π°Π»Ρ–Π· ΠΏΠΎΠΊΠ°Π·Π½ΠΈΠΊΡ–Π² Π²Ρ‚Ρ€Π°Ρ‚ Ρ‚Π°ΠΊΠΈΡ… Π²Π°Ρ€Ρ–Π°Π½Ρ‚Ρ–Π²

    Π‘Π ΠΠ’ΠΠ˜Π’Π•Π›Π¬ΠΠ«Π™ ΠΠΠΠ›Π˜Π— ΠŸΠžΠ’Π•Π Π¬ ΠΠšΠ’Π˜Π’ΠΠžΠ™ МОЩНОБВИ АБИНΠ₯РОННЫΠ₯ Π”Π’Π˜Π“ΠΠ’Π•Π›Π•Π™ Π‘ Π¦Π˜Π›Π˜ΠΠ”Π Π˜Π§Π•Π‘ΠšΠ˜Πœ И ΠΠšΠ‘Π˜ΠΠ›Π¬ΠΠ«Πœ Π ΠΠ‘ΠžΠ§Π˜Πœ Π—ΠΠ—ΠžΠ ΠžΠœ

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    Purpose. To find the analytical expressions of determining the optimum geometric dimensions by criteria of the losses minimum of axial field squirrel-cage induction motors and to compare traditional and axial field motors. Methodology. We have applied the method of the relative indications of the technical level with relative controlled variables. We have used the approximation of the experimental dependence of the distribution of the induction in the air gap and the integral averaging of the magnetic flux. Results. We have developed the mathematical model for determining the optimum geometric dimensions by criteria of the losses minimum of the active part of axial field squirrel-cage induction motors taking into account the radial distribution of the induction in the air gap and teeth. We have considered the comparative analysis of the indications of active power losses of traditional and axial designs of electromagnetic equivalent motors. Originality. For the first time we have created the mathematical model of the active power losses of the active part of axial field squirrel-cage induction motors with the uneven distribution of the magnetic flux in the core and investigated the effect of the geometric relationships on the energy efficiency of axial field motors. Practical value. Based on the superior parametric compatibility and the high energy efficiency of axial motors the expediency of replacing traditional induction motors to axial field induction motors has been proved in the special drives, which operates in continuous duty. Also obtained by simulation optimal geometric relationships of the magnetic circuit can be used in the manufacture and design of axial motors by criteria of the losses minimum.На основС ΠΌΠ΅Ρ‚ΠΎΠ΄Π° ΠΏΠΎΠΊΠ°Π·Π°Ρ‚Π΅Π»Π΅ΠΉ тСхничСского уровня с ΠΎΡ‚Π½ΠΎΡΠΈΡ‚Π΅Π»ΡŒΠ½Ρ‹ΠΌΠΈ управляСмыми ΠΏΠ΅Ρ€Π΅ΠΌΠ΅Π½Π½Ρ‹ΠΌΠΈ ΠΏΠΎΠ»ΡƒΡ‡Π΅Π½Ρ‹ аналитичСскиС зависимости опрСдСлСния ΠΎΠΏΡ‚ΠΈΠΌΠ°Π»ΡŒΠ½Ρ‹Ρ… гСомСтричСских ΡΠΎΠΎΡ‚Π½ΠΎΡˆΠ΅Π½ΠΈΠΉ Π°ΠΊΡ‚ΠΈΠ²Π½ΠΎΠΉ части Ρ‚ΠΎΡ€Ρ†Π΅Π²ΠΎΠ³ΠΎ асинхронного двигатСля с ΠΊΠΎΡ€ΠΎΡ‚ΠΊΠΎΠ·Π°ΠΌΠΊΠ½ΡƒΡ‚Ρ‹ΠΌ Ρ€ΠΎΡ‚ΠΎΡ€ΠΎΠΌ ΠΏΠΎ ΠΊΡ€ΠΈΡ‚Π΅Ρ€ΠΈΡŽ ΠΌΠΈΠ½ΠΈΠΌΡƒΠΌΠ° ΠΏΠΎΡ‚Π΅Ρ€ΡŒ ΠΈ Π²Ρ‹ΠΏΠΎΠ»Π½Π΅Π½ ΡΡ€Π°Π²Π½ΠΈΡ‚Π΅Π»ΡŒΠ½Ρ‹ΠΉ Π°Π½Π°Π»ΠΈΠ· ΠΏΠΎΠΊΠ°Π·Π°Ρ‚Π΅Π»Π΅ΠΉ ΠΏΠΎΡ‚Π΅Ρ€ΡŒ Π°ΠΊΡ‚ΠΈΠ²Π½ΠΎΠΉ мощности элСктромагнитно-эквивалСнтных Π΄Π²ΠΈΠ³Π°Ρ‚Π΅Π»Π΅ΠΉ классичСского цилиндричСского ΠΈ аксиального исполнСний.На основі ΠΌΠ΅Ρ‚ΠΎΠ΄Ρƒ ΠΏΠΎΠΊΠ°Π·Π½ΠΈΠΊΡ–Π² Ρ‚Π΅Ρ…Π½Ρ–Ρ‡Π½ΠΎΠ³ΠΎ рівня Π· відносними ΠΊΠ΅Ρ€ΠΎΠ²Π°Π½ΠΈΠΌΠΈ Π·ΠΌΡ–Π½Π½ΠΈΠΌΠΈ ΠΎΡ‚Ρ€ΠΈΠΌΠ°Π½Ρ– Π°Π½Π°Π»Ρ–Ρ‚ΠΈΡ‡Π½Ρ– залСТності визначСння ΠΎΠΏΡ‚ΠΈΠΌΠ°Π»ΡŒΠ½ΠΈΡ… Π³Π΅ΠΎΠΌΠ΅Ρ‚Ρ€ΠΈΡ‡Π½ΠΈΡ… ΡΠΏΡ–Π²Π²Ρ–Π΄Π½ΠΎΡˆΠ΅Π½ΡŒ Π°ΠΊΡ‚ΠΈΠ²Π½ΠΎΡ— частини Ρ‚ΠΎΡ€Ρ†Π΅Π²ΠΎΠ³ΠΎ асинхронного Π΄Π²ΠΈΠ³ΡƒΠ½Π° Π· ΠΊΠΎΡ€ΠΎΡ‚ΠΊΠΎΠ·Π°ΠΌΠΊΠ½Π΅Π½ΠΈΠΌ Ρ€ΠΎΡ‚ΠΎΡ€ΠΎΠΌ Π·Π° ΠΊΡ€ΠΈΡ‚Π΅Ρ€Ρ–Ρ”ΠΌ ΠΌΡ–Π½Ρ–ΠΌΡƒΠΌΡƒ Π²Ρ‚Ρ€Π°Ρ‚ Ρ‚Π° Π²ΠΈΠΊΠΎΠ½Π°Π½ΠΎ ΠΏΠΎΡ€Ρ–Π²Π½ΡΠ»ΡŒΠ½ΠΈΠΉ Π°Π½Π°Π»Ρ–Π· ΠΏΠΎΠΊΠ°Π·Π½ΠΈΠΊΡ–Π² Π²Ρ‚Ρ€Π°Ρ‚ Π°ΠΊΡ‚ΠΈΠ²Π½ΠΎΡ— потуТності Π΅Π»Π΅ΠΊΡ‚Ρ€ΠΎΠΌΠ°Π³Π½Ρ–Ρ‚Π½ΠΎ-Π΅ΠΊΠ²Ρ–Π²Π°Π»Π΅Π½Ρ‚Π½ΠΈΡ… Π΄Π²ΠΈΠ³ΡƒΠ½Ρ–Π² класичного Ρ†ΠΈΠ»Ρ–Π½Π΄Ρ€ΠΈΡ‡Π½ΠΎΠ³ΠΎ Ρ– Π°ΠΊΡΡ–Π°Π»ΡŒΠ½ΠΎΠ³ΠΎ виконань

    Physics Opportunities at ELFE

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    I review some central physics opportunities at the 15 ... 30 GeV continuous beam electron accelerator ELFE, proposed to be built in conjunction with the DESY linear collider. Our present detailed knowledge of single parton distributions in hadrons and nuclei needs to be supplemented by measurements of compact valence quark configurations, accessible through hard exclusive scattering, and of compact multiparton subsystems which contribute to semi-inclusive processes. Cumulative (x>1, x_F>1) processes in nuclei measure short-range correlations between partons belonging to different nucleons in the same nucleus. The same configurations may give rise to subthreshold production of light hadrons and charm.Comment: 16 pages, 3 figures included using epsf. (Misprint in Eq. (8) corrected in revised version.

    Analysis of hadron production in nucleus-nucleus interactions up to and out of kinematical limit of free NN-collisions in the frame of FRITIOF model

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    In the framework of the modified FRITIOF model, the inclusive spectra of the cumulative Ο€0\pi ^0-, Ο€βˆ’\pi ^- -mesons and protons produced in the nucleus-nucleus interactions at 4.5 GeV/c/nucleon and 4.2 GeV/c/nucleon are calculated. It is shown that the model reproduces qualitatively, and in some cases quantitatively the main experimental regularities of Ο€\pi-mesons production, and "soft" part of the proton spectra. According to the model the production of the cumulative particles is connected with the mechanism of the "soft" nucleon-nucleon interaction.Comment: 12 pages, 11 figure

    Light Front Formalism for Composite Systems and Some of Its Applications in Particle and Relativistic Nuclear Physics

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    Light front formalism for composite systems is presented. Derivation of equations for bound state and scattering problems are given. Methods of constructing of elastic form factors and scattering amplitudes of composite particles are reviewed. Elastic form factors in the impulse approximation are calculated. Scattering amplitudes for relativistic bound states are constructed. Some model cases for transition amplitudes are considered. Deep inelastic form factors (structure functions) are expressed through light front wave functions. It is shown that taking into account of transverse motion of partons leads to the violation of Bjorken scaling and structure functions become square of transverse momentum dependent. Possible explanation of the EMC-effect is given. Problem of light front relativization of wave functions of lightest nuclei is considered. Scaling properties of deuteron, 3He{}^3He and 4He{}^4He light front wave functions are checked in a rather wide energy range.Comment: Review paper, Submitted to Phys. Rep., 89 pages, 23 figure

    COMPARATIVE ANALYSIS OF ACTIVE POWER LOSSES OF INDUCTION MOTORS WITH CYLINDRICAL AND AXIAL AIR GAPS

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    Purpose. To find the analytical expressions of determining the optimum geometric dimensions by criteria of the losses minimum of axial field squirrel-cage induction motors and to compare traditional and axial field motors. Methodology. We have applied the method of the relative indications of the technical level with relative controlled variables. We have used the approximation of the experimental dependence of the distribution of the induction in the air gap and the integral averaging of the magnetic flux. Results. We have developed the mathematical model for determining the optimum geometric dimensions by criteria of the losses minimum of the active part of axial field squirrel-cage induction motors taking into account the radial distribution of the induction in the air gap and teeth. We have considered the comparative analysis of the indications of active power losses of traditional and axial designs of electromagnetic equivalent motors. Originality. For the first time we have created the mathematical model of the active power losses of the active part of axial field squirrel-cage induction motors with the uneven distribution of the magnetic flux in the core and investigated the effect of the geometric relationships on the energy efficiency of axial field motors. Practical value. Based on the superior parametric compatibility and the high energy efficiency of axial motors the expediency of replacing traditional induction motors to axial field induction motors has been proved in the special drives, which operates in continuous duty. Also obtained by simulation optimal geometric relationships of the magnetic circuit can be used in the manufacture and design of axial motors by criteria of the losses minimum

    COMPARATIVE ANALYSIS OF WEIGHT AND COST INDICATIONS OF INDUCTION MOTORS WITH CYLINDRICAL AND AXIAL AIR GAPS

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    Purpose. To find the analytical expressions of determining the optimum geometric dimensions by criteria of the weight minimum and the cost minimum of axial field squirrel-cage induction motors and to compare traditional and axial field motors. Methodology. We have applied the adapted method of the relative indications of the technical level with relative controlled variables. We have used the approximation of the experimental dependence of the distribution of the induction in the air gap and the integral averaging of the electromagnetic characteristics. Results. We have developed the mathematical model for determining the optimum geometric dimensions by criteria of the weight minimum and the cost minimum of the active part of axial field squirrel-cage induction motors taking into account the radial distribution of the induction in the air gap and teeth. We have considered the comparative analysis of the indications of the weight and the cost of traditional and axial designs of electromagnetic equivalent motors. Originality. For the first time we have created the relative units mathematical model of the weight and the cost of the active part of axial field squirrel-cage induction motors with the uneven distribution of the magnetic flux in the core and investigated the effect of the geometric relationships on the materials consumption and cost of axial field motors. Practical value. Based on the superior parametric compatibility and the high material savings of axial motors the expediency of replacing traditional induction motors to axial field induction motors has been proved in the special transport drives. Also obtained by simulation optimal geometric relationships of the magnetic circuit can be used in the manufacture and design of axial motors by criteria of the weight minimum and the cost minimum

    Π˜Π‘ΠŸΠžΠ›Π¬Π—ΠžΠ’ΠΠΠ˜Π• ΠœΠ•Π’ΠžΠ”Π ΠžΠ’ΠΠžΠ‘Π˜Π’Π•Π›Π¬ΠΠ«Π₯ ΠšΠžΠ­Π€Π€Π˜Π¦Π˜Π•ΠΠ’ΠžΠ’ ΠŸΠžΠšΠΠ—ΠΠ’Π•Π›Π•Π™ Π’Π•Π₯ΠΠ˜Π§Π•Π‘ΠšΠžΠ“Πž Π£Π ΠžΠ’ΠΠ― Π’ Π Π•Π¨Π•ΠΠ˜Π˜ ЗАДАЧ ΠžΠŸΠ’Π˜ΠœΠ˜Π—ΠΠ¦Π˜Π˜ АБИНΠ₯РОННЫΠ₯ Π”Π’Π˜Π“ΠΠ’Π•Π›Π•Π™

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    On the basis of a method of relative technical level indices with relative geometric controlled variables, analytical expressions are derived to determine the optimum geometric dimensions of the squirrel-cage induction motor active part under criteria of the weight and the cost minimums. Comparative analysis of the mentioned indices for the conventional and the inverted stator and rotor designs is performed.На основС ΠΌΠ΅Ρ‚ΠΎΠ΄Π° ΠΎΡ‚Π½ΠΎΡΠΈΡ‚Π΅Π»ΡŒΠ½Ρ‹Ρ… коэффициСнтов ΠΏΠΎΠΊΠ°Π·Π°Ρ‚Π΅Π»Π΅ΠΉ тСхничСского уровня с ΠΎΡ‚Π½ΠΎΡΠΈΡ‚Π΅Π»ΡŒΠ½Ρ‹ΠΌΠΈ гСомСтричСскими управляСмыми ΠΏΠ΅Ρ€Π΅ΠΌΠ΅Π½Π½Ρ‹ΠΌΠΈ ΠΏΠΎΠ»ΡƒΡ‡Π΅Π½Ρ‹ аналитичСскиС зависимости опрСдСлСния ΠΎΠΏΡ‚ΠΈΠΌΠ°Π»ΡŒΠ½Ρ‹Ρ… гСомСтричСских ΡΠΎΠΎΡ‚Π½ΠΎΡˆΠ΅Π½ΠΈΠΉ ΠΏΠΎ критСриям ΠΌΠΈΠ½ΠΈΠΌΡƒΠΌΠ° массы ΠΈ стоимости Π°ΠΊΡ‚ΠΈΠ²Π½ΠΎΠΉ части асинхронных ΠΊΠΎΡ€ΠΎΡ‚ΠΊΠΎΠ·Π°ΠΌΠΊΠ½ΡƒΡ‚Ρ‹Ρ… Π΄Π²ΠΈΠ³Π°Ρ‚Π΅Π»Π΅ΠΉ ΠΈ Π²Ρ‹ΠΏΠΎΠ»Π½Π΅Π½ ΡΡ€Π°Π²Π½ΠΈΡ‚Π΅Π»ΡŒΠ½Ρ‹ΠΉ Π°Π½Π°Π»ΠΈΠ· ΡƒΠΊΠ°Π·Π°Π½Π½Ρ‹Ρ… ΠΏΠΎΠΊΠ°Π·Π°Ρ‚Π΅Π»Π΅ΠΉ ΠΏΡ€ΠΈ Ρ‚Ρ€Π°Π΄ΠΈΡ†ΠΈΠΎΠ½Π½ΠΎΠΌ ΠΈ ΠΎΠ±Ρ€Π°Ρ‰Π΅Π½Π½ΠΎΠΌ исполнСниях статора ΠΈ Ρ€ΠΎΡ‚ΠΎΡ€Π°.На основі ΠΌΠ΅Ρ‚ΠΎΠ΄Ρƒ відносних ΠΊΠΎΠ΅Ρ„Ρ–Ρ†Ρ–Ρ”Π½Ρ‚Ρ–Π² ΠΏΠΎΠΊΠ°Π·Π½ΠΈΠΊΡ–Π² Ρ‚Π΅Ρ…Π½Ρ–Ρ‡Π½ΠΎΠ³ΠΎ рівня Π· відносними Π³Π΅ΠΎΠΌΠ΅Ρ‚Ρ€ΠΈΡ‡Π½ΠΈΠΌΠΈ ΠΊΠ΅Ρ€ΠΎΠ²Π°Π½ΠΈΠΌΠΈ Π·ΠΌΡ–Π½Π½ΠΈΠΌΠΈ ΠΎΡ‚Ρ€ΠΈΠΌΠ°Π½Ρ– Π°Π½Π°Π»Ρ–Ρ‚ΠΈΡ‡Π½Ρ– залСТності визначСння ΠΎΠΏΡ‚ΠΈΠΌΠ°Π»ΡŒΠ½ΠΈΡ… Π³Π΅ΠΎΠΌΠ΅Ρ‚Ρ€ΠΈΡ‡Π½ΠΈΡ… ΡΠΏΡ–Π²Π²Ρ–Π΄Π½ΠΎΡˆΠ΅Π½ΡŒ Π·Π° критСріями ΠΌΡ–Π½Ρ–ΠΌΡƒΠΌΡ–Π² маси Ρ‚Π° вартості Π°ΠΊΡ‚ΠΈΠ²Π½ΠΎΡ— частини асинхронних ΠΊΠΎΡ€ΠΎΡ‚ΠΊΠΎΠ·Π°ΠΌΠΊΠ½Π΅Π½ΠΈΡ… Π΄Π²ΠΈΠ³ΡƒΠ½Ρ–Π² Ρ‚Π° Π²ΠΈΠΊΠΎΠ½Π°Π½ΠΎ ΠΏΠΎΡ€Ρ–Π²Π½ΡΠ»ΡŒΠ½ΠΈΠΉ Π°Π½Π°Π»Ρ–Π· Π²ΠΊΠ°Π·Π°Π½ΠΈΡ… ΠΏΠΎΠΊΠ°Π·Π½ΠΈΠΊΡ–Π² ΠΏΡ€ΠΈ Ρ‚Ρ€Π°Π΄ΠΈΡ†Ρ–ΠΉΠ½ΠΎΠΌΡƒ Ρ‚Π° ΠΎΠ±Π΅Ρ€Π½Π΅Π½ΠΎΠΌΡƒ виконаннях статора Ρ– Ρ€ΠΎΡ‚ΠΎΡ€Π°

    Π¦Π•Π›Π•Π’Π«Π• ЀУНКЦИИ Π‘Π ΠΠ’ΠΠ˜Π’Π•Π›Π¬ΠΠžΠ“Πž ΠΠΠΠ›Π˜Π—Π Π­ΠΠ•Π Π“Π•Π’Π˜Π§Π•Π‘ΠšΠžΠ™ Π­Π€Π€Π•ΠšΠ’Π˜Π’ΠΠžΠ‘Π’Π˜ Π­Π›Π•ΠšΠ’Π ΠžΠœΠΠ“ΠΠ˜Π’ΠΠ«Π₯ Π‘Π˜Π‘Π’Π•Πœ АБИНΠ₯РОННЫΠ₯ Π”Π’Π˜Π“ΠΠ’Π•Π›Π•Π™ Π‘ Π’ΠΠ£Π’Π Π•ΠΠΠ˜ΠœΠ˜ И Π’ΠΠ•Π¨ΠΠ˜ΠœΠ˜ РОВОРАМИ

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    The analytical expressions of determining the optimum geometric dimensions by criteria of the basic losses minimum of the structural variants of the electromagnetic system of the induction squirrel-cage motor with inner and outer rotors based on the method of the relative indications of the technical level with relative controlled variables are obtained and the comparative analysis of the losses indications is carried out.На основС ΠΌΠ΅Ρ‚ΠΎΠ΄Π° ΠΎΡ‚Π½ΠΎΡΠΈΡ‚Π΅Π»ΡŒΠ½Ρ‹Ρ… ΠΏΠΎΠΊΠ°Π·Π°Ρ‚Π΅Π»Π΅ΠΉ тСхничСского уровня с ΠΎΡ‚Π½ΠΎΡΠΈΡ‚Π΅Π»ΡŒΠ½Ρ‹ΠΌΠΈ управляСмыми ΠΏΠ΅Ρ€Π΅ΠΌΠ΅Π½Π½Ρ‹ΠΌΠΈ ΠΏΠΎΠ»ΡƒΡ‡Π΅Π½Ρ‹ аналитичСскиС зависимости опрСдСлСния ΠΎΠΏΡ‚ΠΈΠΌΠ°Π»ΡŒΠ½Ρ‹Ρ… гСомСтричСских ΡΠΎΠΎΡ‚Π½ΠΎΡˆΠ΅Π½ΠΈΠΉ структурных Π²Π°Ρ€ΠΈΠ°Π½Ρ‚ΠΎΠ² элСктромагнитной систСмы асинхронного ΠΊΠΎΡ€ΠΎΡ‚ΠΊΠΎΠ·Π°ΠΌΠΊΠ½ΡƒΡ‚ΠΎΠ³ΠΎ двигатСля с Π²Π½ΡƒΡ‚Ρ€Π΅Π½Π½ΠΈΠΌ ΠΈ внСшним Ρ€ΠΎΡ‚ΠΎΡ€Π°ΠΌΠΈ ΠΏΠΎ ΠΊΡ€ΠΈΡ‚Π΅Ρ€ΠΈΡŽ ΠΌΠΈΠ½ΠΈΠΌΡƒΠΌΠ° основных ΠΏΠΎΡ‚Π΅Ρ€ΡŒ ΠΈ Π²Ρ‹ΠΏΠΎΠ»Π½Π΅Π½ ΡΡ€Π°Π²Π½ΠΈΡ‚Π΅Π»ΡŒΠ½Ρ‹ΠΉ Π°Π½Π°Π»ΠΈΠ· ΠΏΠΎΠΊΠ°Π·Π°Ρ‚Π΅Π»Π΅ΠΉ ΠΏΠΎΡ‚Π΅Ρ€ΡŒ Ρ‚Π°ΠΊΠΈΡ… Π²Π°Ρ€ΠΈΠ°Π½Ρ‚ΠΎΠ².На основі ΠΌΠ΅Ρ‚ΠΎΠ΄Ρƒ відносних ΠΏΠΎΠΊΠ°Π·Π½ΠΈΠΊΡ–Π² Ρ‚Π΅Ρ…Π½Ρ–Ρ‡Π½ΠΎΠ³ΠΎ рівня Π· відносними ΠΊΠ΅Ρ€ΠΎΠ²Π°Π½ΠΈΠΌΠΈ Π·ΠΌΡ–Π½Π½ΠΈΠΌΠΈ ΠΎΡ‚Ρ€ΠΈΠΌΠ°Π½Ρ– Π°Π½Π°Π»Ρ–Ρ‚ΠΈΡ‡Π½Ρ– залСТності визначСння ΠΎΠΏΡ‚ΠΈΠΌΠ°Π»ΡŒΠ½ΠΈΡ… Π³Π΅ΠΎΠΌΠ΅Ρ‚Ρ€ΠΈΡ‡Π½ΠΈΡ… ΡΠΏΡ–Π²Π²Ρ–Π΄Π½ΠΎΡˆΠ΅Π½ΡŒ структурних Π²Π°Ρ€Ρ–Π°Π½Ρ‚Ρ–Π² Π΅Π»Π΅ΠΊΡ‚Ρ€ΠΎΠΌΠ°Π³Π½Ρ–Ρ‚Π½ΠΎΡ— систСми асинхронного ΠΊΠΎΡ€ΠΎΡ‚ΠΊΠΎΠ·Π°ΠΌΠΊΠ½Π΅Π½ΠΎΠ³ΠΎ Π΄Π²ΠΈΠ³ΡƒΠ½Π° Π· Π²Π½ΡƒΡ‚Ρ€Ρ–ΡˆΠ½Ρ–ΠΌ Ρ‚Π° Π·ΠΎΠ²Π½Ρ–ΡˆΠ½Ρ–ΠΌ Ρ€ΠΎΡ‚ΠΎΡ€Π°ΠΌΠΈ Π·Π° ΠΊΡ€ΠΈΡ‚Π΅Ρ€Ρ–Ρ”ΠΌ ΠΌΡ–Π½Ρ–ΠΌΡƒΠΌΡƒ основних ΡƒΡ‚Ρ€Π°Ρ‚ Ρ‚Π° Π²ΠΈΠΊΠΎΠ½Π°Π½ΠΎ ΠΏΠΎΡ€Ρ–Π²Π½ΡΠ»ΡŒΠ½ΠΈΠΉ Π°Π½Π°Π»Ρ–Π· ΠΏΠΎΠΊΠ°Π·Π½ΠΈΠΊΡ–Π² Π²Ρ‚Ρ€Π°Ρ‚ Ρ‚Π°ΠΊΠΈΡ… Π²Π°Ρ€Ρ–Π°Π½Ρ‚Ρ–Π²

    APPLICATION OF A RELATIVE TECHNICAL LEVEL INDEX METHOD TO INDUCTION MOTOR OPTIMIZATION PROBLEMS

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    На основС ΠΌΠ΅Ρ‚ΠΎΠ΄Π° ΠΎΡ‚Π½ΠΎΡΠΈΡ‚Π΅Π»ΡŒΠ½Ρ‹Ρ… коэффициСнтов ΠΏΠΎΠΊΠ°Π·Π°Ρ‚Π΅Π»Π΅ΠΉ тСхничСского уровня с ΠΎΡ‚Π½ΠΎΡΠΈΡ‚Π΅Π»ΡŒΠ½Ρ‹ΠΌΠΈ гСомСтричСскими управляСмыми ΠΏΠ΅Ρ€Π΅ΠΌΠ΅Π½Π½Ρ‹ΠΌΠΈ ΠΏΠΎΠ»ΡƒΡ‡Π΅Π½Ρ‹ аналитичСскиС зависимости опрСдСлСния ΠΎΠΏΡ‚ΠΈΠΌΠ°Π»ΡŒΠ½Ρ‹Ρ… гСомСтричСских ΡΠΎΠΎΡ‚Π½ΠΎΡˆΠ΅Π½ΠΈΠΉ ΠΏΠΎ критСриям ΠΌΠΈΠ½ΠΈΠΌΡƒΠΌΠ° массы ΠΈ стоимости Π°ΠΊΡ‚ΠΈΠ²Π½ΠΎΠΉ части асинхронных ΠΊΠΎΡ€ΠΎΡ‚ΠΊΠΎΠ·Π°ΠΌΠΊΠ½ΡƒΡ‚Ρ‹Ρ… Π΄Π²ΠΈΠ³Π°Ρ‚Π΅Π»Π΅ΠΉ ΠΈ Π²Ρ‹ΠΏΠΎΠ»Π½Π΅Π½ ΡΡ€Π°Π²Π½ΠΈΡ‚Π΅Π»ΡŒΠ½Ρ‹ΠΉ Π°Π½Π°Π»ΠΈΠ· ΡƒΠΊΠ°Π·Π°Π½Π½Ρ‹Ρ… ΠΏΠΎΠΊΠ°Π·Π°Ρ‚Π΅Π»Π΅ΠΉ ΠΏΡ€ΠΈ Ρ‚Ρ€Π°Π΄ΠΈΡ†ΠΈΠΎΠ½Π½ΠΎΠΌ ΠΈ ΠΎΠ±Ρ€Π°Ρ‰Π΅Π½Π½ΠΎΠΌ исполнСниях статора ΠΈ Ρ€ΠΎΡ‚ΠΎΡ€Π°.На основі ΠΌΠ΅Ρ‚ΠΎΠ΄Ρƒ відносних ΠΊΠΎΠ΅Ρ„Ρ–Ρ†Ρ–Ρ”Π½Ρ‚Ρ–Π² ΠΏΠΎΠΊΠ°Π·Π½ΠΈΠΊΡ–Π² Ρ‚Π΅Ρ…Π½Ρ–Ρ‡Π½ΠΎΠ³ΠΎ рівня Π· відносними Π³Π΅ΠΎΠΌΠ΅Ρ‚Ρ€ΠΈΡ‡Π½ΠΈΠΌΠΈ ΠΊΠ΅Ρ€ΠΎΠ²Π°Π½ΠΈΠΌΠΈ Π·ΠΌΡ–Π½Π½ΠΈΠΌΠΈ ΠΎΡ‚Ρ€ΠΈΠΌΠ°Π½Ρ– Π°Π½Π°Π»Ρ–Ρ‚ΠΈΡ‡Π½Ρ– залСТності визначСння ΠΎΠΏΡ‚ΠΈΠΌΠ°Π»ΡŒΠ½ΠΈΡ… Π³Π΅ΠΎΠΌΠ΅Ρ‚Ρ€ΠΈΡ‡Π½ΠΈΡ… ΡΠΏΡ–Π²Π²Ρ–Π΄Π½ΠΎΡˆΠ΅Π½ΡŒ Π·Π° критСріями ΠΌΡ–Π½Ρ–ΠΌΡƒΠΌΡ–Π² маси Ρ‚Π° вартості Π°ΠΊΡ‚ΠΈΠ²Π½ΠΎΡ— частини асинхронних ΠΊΠΎΡ€ΠΎΡ‚ΠΊΠΎΠ·Π°ΠΌΠΊΠ½Π΅Π½ΠΈΡ… Π΄Π²ΠΈΠ³ΡƒΠ½Ρ–Π² Ρ‚Π° Π²ΠΈΠΊΠΎΠ½Π°Π½ΠΎ ΠΏΠΎΡ€Ρ–Π²Π½ΡΠ»ΡŒΠ½ΠΈΠΉ Π°Π½Π°Π»Ρ–Π· Π²ΠΊΠ°Π·Π°Π½ΠΈΡ… ΠΏΠΎΠΊΠ°Π·Π½ΠΈΠΊΡ–Π² ΠΏΡ€ΠΈ Ρ‚Ρ€Π°Π΄ΠΈΡ†Ρ–ΠΉΠ½ΠΎΠΌΡƒ Ρ‚Π° ΠΎΠ±Π΅Ρ€Π½Π΅Π½ΠΎΠΌΡƒ виконаннях статора Ρ– Ρ€ΠΎΡ‚ΠΎΡ€Π°.On the basis of a method of relative technical level indices with relative geometric controlled variables, analytical expressions are derived to determine the optimum geometric dimensions of the squirrel-cage induction motor active part under criteria of the weight and the cost minimums. Comparative analysis of the mentioned indices for the conventional and the inverted stator and rotor designs is performed
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