987 research outputs found

    Features of political orientations of youth (on the example of student's youth of the Republic Of Tatarstan)

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    Today Russia in in conditions of modernization process that assigns a special role to capacity of society to self-organization and self-regulation, that leads to high level of socialpolitical activity of all social strata of population. Respectively, especial actuality in this situation is achieved by study of political orientations of youth, and in particular - student youth as more informed and intellectual swath of society. In this case a student youth is determined not so much by age characteristics as by socially-psychological and creative ability of way of thoughts. Namely studentship became a major sources of formation of world view not only of youth, but also of other social groups, In article are shown and interpreted data of sociological research conducted by chair of public relations and engineering political science of Kazan (Privolzhskii) federal university in the Republic of Tatarstan in 2014, dedicated to social general state of student youth. The conclusion is made about political apathy of modern studentship, although is specified that this situations has no total nature. Interest of youth in political events and also capacity to estimate a formed political situation is noted, At this is acknowledged that, in spite of possibility of active participation in political process, student youth is obviously limiting its political activity

    Active shielding of magnetic field with circular space-time characteristic

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    Aim. The synthesis of two degree of freedom robust two circuit system of active shielding of magnetic field with circular spacetime characteristic, generated by overhead power lines with "triangle" type of phase conductors arrangements for reducing the magnetic flux density to the sanitary standards level and to reducing the sensitivity of the system to plant parameters uncertainty. Methodology. The synthesis is based on the multi-criteria game decision, in which the payoff vector is calculated on the basis of the Maxwell equations quasi-stationary approximation solutions. The game decision is based on the stochastic particles multiswarm optimization algorithms. The initial parameters for the synthesis by system of active shielding are the location of the overhead power lines with respect to the shielding space, geometry and number of shielding coils, operating currents, as well as the size of the shielding space and magnetic flux density normative value, which should be achieved as a result of shielding. The objective of the synthesis is to determine their number, configuration, spatial arrangementand and shielding coils currents, setting algorithm of the control systems as well as the resulting of the magnetic flux density value at the shielding space. Results. Computer simulation and field experimental research results of two degree of freedom robust two circuit system of active shielding of magnetic field, generated by overhead power lines with Β«triangleΒ» type of phase conductors arrangements are given. The possibility of initial magnetic flux density level reducing and system sensitivity reducing to the plant parameters uncertainty is shown. Originality. For the first time the synthesis, theoretical and experimental research of two degree of freedom robust two -circuit t system of active shielding of magnetic field generated by single-circuit overhead power line with phase conductors triangular arrangements carried out. Practical value. Practical recommendations from the point of view of the practical implementation on reasonable choice of the spatial arrangement of two shielding coils of robust two -circuit system of active shielding of the magnetic field with circular space-time characteristic generated by single-circuit overhead power line with phase conductors triangular arrangements are given.ЦСль. Π‘ΠΈΠ½Ρ‚Π΅Π· ΠΊΠΎΠΌΠ±ΠΈΠ½ΠΈΡ€ΠΎΠ²Π°Π½Π½ΠΎΠΉ робастной Π΄Π²ΡƒΡ…ΠΊΠΎΠ½Ρ‚ΡƒΡ€Π½ΠΎΠΉ систСмы Π°ΠΊΡ‚ΠΈΠ²Π½ΠΎΠ³ΠΎ экранирования ΠΌΠ°Π³Π½ΠΈΡ‚Π½ΠΎΠ³ΠΎ поля с ΠΊΡ€ΡƒΠ³ΠΎΠ²ΠΎΠΉ пространствСнно-Π²Ρ€Π΅ΠΌΠ΅Π½Π½ΠΎΠΉ характСристикой, Π³Π΅Π½Π΅Ρ€ΠΈΡ€ΡƒΠ΅ΠΌΠΎΠ³ΠΎ ΠΎΠ΄Π½ΠΎΠΊΠΎΠ½Ρ‚ΡƒΡ€Π½ΠΎΠΉ Π²ΠΎΠ·Π΄ΡƒΡˆΠ½ΠΎΠΉ Π»ΠΈΠ½ΠΈΠ΅ΠΉ элСктропСрСдачи с Ρ‚Ρ€Π΅ΡƒΠ³ΠΎΠ»ΡŒΠ½Ρ‹ΠΌ подвСсом ΠΏΡ€ΠΎΠ²ΠΎΠ΄ΠΎΠ² для сниТСния ΠΈΠ½Π΄ΡƒΠΊΡ†ΠΈΠΈ ΠΌΠ°Π³Π½ΠΈΡ‚Π½ΠΎΠ³ΠΎ поля Π΄ΠΎ уровня санитарных Π½ΠΎΡ€ΠΌ ΠΈ для сниТСния Ρ‡ΡƒΠ²ΡΡ‚Π²ΠΈΡ‚Π΅Π»ΡŒΠ½ΠΎΡΡ‚ΠΈ систСмы ΠΊ нСопрСдСлСнности ΠΏΠ°Ρ€Π°ΠΌΠ΅Ρ‚Ρ€ΠΎΠ² ΠΎΠ±ΡŠΠ΅ΠΊΡ‚Π° управлСния. ΠœΠ΅Ρ‚ΠΎΠ΄ΠΎΠ»ΠΎΠ³ΠΈΡ. Π‘ΠΈΠ½Ρ‚Π΅Π· основан Π½Π° Ρ€Π΅ΡˆΠ΅Π½ΠΈΠΈ ΠΌΠ½ΠΎΠ³ΠΎΠΊΡ€ΠΈΡ‚Π΅Ρ€ΠΈΠ°Π»ΡŒΠ½ΠΎΠΉ стохастичСской ΠΈΠ³Ρ€Ρ‹, Π² ΠΊΠΎΡ‚ΠΎΡ€ΠΎΠΉ Π²Π΅ΠΊΡ‚ΠΎΡ€Π½Ρ‹ΠΉ Π²Ρ‹ΠΈΠ³Ρ€Ρ‹Ρˆ вычисляСтся Π½Π° основании Ρ€Π΅ΡˆΠ΅Π½ΠΈΠΉ ΡƒΡ€Π°Π²Π½Π΅Π½ΠΈΠΉ МаксвСлла Π² квазистационарном ΠΏΡ€ΠΈΠ±Π»ΠΈΠΆΠ΅Π½ΠΈΠΈ. РСшСниС ΠΈΠ³Ρ€Ρ‹ находится Π½Π° основС Π°Π»Π³ΠΎΡ€ΠΈΡ‚ΠΌΠΎΠ² стохастичСской ΠΌΡƒΠ»ΡŒΡ‚ΠΈΠ°Π³Π΅Π½Ρ‚Π½ΠΎΠΉ ΠΎΠΏΡ‚ΠΈΠΌΠΈΠ·Π°Ρ†ΠΈΠΈ ΠΌΡƒΠ»ΡŒΡ‚ΠΈΡ€ΠΎΠ΅ΠΌ частиц. Π˜ΡΡ…ΠΎΠ΄Π½Ρ‹ΠΌΠΈ ΠΏΠ°Ρ€Π°ΠΌΠ΅Ρ‚Ρ€Π°ΠΌΠΈ для синтСза систСмы Π°ΠΊΡ‚ΠΈΠ²Π½ΠΎΠ³ΠΎ экранирования ΡΠ²Π»ΡΡŽΡ‚ΡΡ располоТСниС Π²Ρ‹ΡΠΎΠΊΠΎΠ²ΠΎΠ»ΡŒΡ‚Π½ΠΎΠΉ Π»ΠΈΠ½ΠΈΠΉ элСктропСрСдачи ΠΏΠΎ ΠΎΡ‚Π½ΠΎΡˆΠ΅Π½ΠΈΡŽ ΠΊ экранируСмому пространству, гСомСтричСскиС Ρ€Π°Π·ΠΌΠ΅Ρ€Ρ‹, количСство ΠΏΡ€ΠΎΠ²ΠΎΠ΄ΠΎΠ² ΠΈ Ρ€Π°Π±ΠΎΡ‡ΠΈΠ΅ Ρ‚ΠΎΠΊΠΈ Π»ΠΈΠ½ΠΈΠΈ элСктропСрСдачи, Π° Ρ‚Π°ΠΊΠΆΠ΅ Ρ€Π°Π·ΠΌΠ΅Ρ€Ρ‹ экранируСмого пространства ΠΈ Π½ΠΎΡ€ΠΌΠ°Ρ‚ΠΈΠ²Π½ΠΎΠ΅ Π·Π½Π°Ρ‡Π΅Π½ΠΈΠ΅ ΠΈΠ½Π΄ΡƒΠΊΡ†ΠΈΠΈ ΠΌΠ°Π³Π½ΠΈΡ‚Π½ΠΎΠ³ΠΎ поля, ΠΊΠΎΡ‚ΠΎΡ€ΠΎΠ΅ Π΄ΠΎΠ»ΠΆΠ½ΠΎ Π±Ρ‹Ρ‚ΡŒ достигнуто Π² Ρ€Π΅Π·ΡƒΠ»ΡŒΡ‚Π°Ρ‚Π΅ экранирования. Π—Π°Π΄Π°Ρ‡Π΅ΠΉ синтСза являСтся ΠΎΠΏΡ€Π΅Π΄Π΅Π»Π΅Π½ΠΈΠ΅ количСства, ΠΊΠΎΠ½Ρ„ΠΈΠ³ΡƒΡ€Π°Ρ†ΠΈΠΈ, пространствСнного располоТСния ΠΈ Ρ‚ΠΎΠΊΠΎΠ² ΡΠΊΡ€Π°Π½ΠΈΡ€ΡƒΡŽΡ‰ΠΈΡ… ΠΎΠ±ΠΌΠΎΡ‚ΠΎΠΊ, Π°Π»Π³ΠΎΡ€ΠΈΡ‚ΠΌΠ° Ρ€Π°Π±ΠΎΡ‚Ρ‹ систСмы управлСния, Π° Ρ‚Π°ΠΊΠΆΠ΅ Ρ€Π΅Π·ΡƒΠ»ΡŒΡ‚ΠΈΡ€ΡƒΡŽΡ‰Π΅Π³ΠΎ значСния ΠΈΠ½Π΄ΡƒΠΊΡ†ΠΈΠΈ ΠΌΠ°Π³Π½ΠΈΡ‚Π½ΠΎΠ³ΠΎ поля Π² экранируСмом пространствС. Π Π΅Π·ΡƒΠ»ΡŒΡ‚Π°Ρ‚Ρ‹. ΠŸΡ€ΠΈΠ²ΠΎΠ΄ΡΡ‚ΡΡ Ρ€Π΅Π·ΡƒΠ»ΡŒΡ‚Π°Ρ‚Ρ‹ тСорСтичСских ΠΈ ΠΏΠΎΠ»Π΅Π²Ρ‹Ρ… ΡΠΊΡΠΏΠ΅Ρ€ΠΈΠΌΠ΅Π½Ρ‚Π°Π»ΡŒΠ½Ρ‹Ρ… исслСдований ΠΊΠΎΠΌΠ±ΠΈΠ½ΠΈΡ€ΠΎΠ²Π°Π½Π½ΠΎΠΉ робастной Π΄Π²ΡƒΡ…ΠΊΠΎΠ½Ρ‚ΡƒΡ€Π½ΠΎΠΉ систСмы Π°ΠΊΡ‚ΠΈΠ²Π½ΠΎΠ³ΠΎ экранирования ΠΌΠ°Π³Π½ΠΈΡ‚Π½ΠΎΠ³ΠΎ поля, Π³Π΅Π½Π΅Ρ€ΠΈΡ€ΡƒΠ΅ΠΌΠΎΠ³ΠΎ Π²ΠΎΠ·Π΄ΡƒΡˆΠ½ΠΎΠΉ Π»ΠΈΠ½ΠΈΠ΅ΠΉ элСктропСрСдачи с Ρ‚Ρ€Π΅ΡƒΠ³ΠΎΠ»ΡŒΠ½Ρ‹ΠΌ подвСсом ΠΏΡ€ΠΎΠ²ΠΎΠ΄ΠΎΠ². Показана Π²ΠΎΠ·ΠΌΠΎΠΆΠ½ΠΎΡΡ‚ΡŒ сниТСния уровня ΠΈΠ½Π΄ΡƒΠΊΡ†ΠΈΠΈ исходного ΠΌΠ°Π³Π½ΠΈΡ‚Π½ΠΎΠ³ΠΎ поля Π²Π½ΡƒΡ‚Ρ€ΠΈ экранируСмого пространства ΠΈ сниТСния Ρ‡ΡƒΠ²ΡΡ‚Π²ΠΈΡ‚Π΅Π»ΡŒΠ½ΠΎΡΡ‚ΠΈ систСмы ΠΊ нСопрСдСлСнностям ΠΏΠ°Ρ€Π°ΠΌΠ΅Ρ‚Ρ€ΠΎΠ² ΠΎΠ±ΡŠΠ΅ΠΊΡ‚Π° управлСния. ΠžΡ€ΠΈΠ³ΠΈΠ½Π°Π»ΡŒΠ½ΠΎΡΡ‚ΡŒ. Π’ΠΏΠ΅Ρ€Π²Ρ‹Π΅ ΠΏΡ€ΠΎΠ²Π΅Π΄Π΅Π½Ρ‹ синтСз, тСорСтичСскиС ΠΈ ΡΠΊΡΠΏΠ΅Ρ€ΠΈΠΌΠ΅Π½Ρ‚Π°Π»ΡŒΠ½Ρ‹Π΅ исслСдования ΠΊΠΎΠΌΠ±ΠΈΠ½ΠΈΡ€ΠΎΠ²Π°Π½Π½ΠΎΠΉ робастной Π΄Π²ΡƒΡ…ΠΊΠΎΠ½Ρ‚ΡƒΡ€Π½ΠΎΠΉ систСмы Π°ΠΊΡ‚ΠΈΠ²Π½ΠΎΠ³ΠΎ экранирования ΠΌΠ°Π³Π½ΠΈΡ‚Π½ΠΎΠ³ΠΎ поля, Π³Π΅Π½Π΅Ρ€ΠΈΡ€ΡƒΠ΅ΠΌΠΎΠ³ΠΎ ΠΎΠ΄Π½ΠΎΠΊΠΎΠ½Ρ‚ΡƒΡ€Π½ΠΎΠΉ Π²ΠΎΠ·Π΄ΡƒΡˆΠ½ΠΎΠΉ Π»ΠΈΠ½ΠΈΠ΅ΠΉ элСктропСрСдачи с Ρ‚Ρ€Π΅ΡƒΠ³ΠΎΠ»ΡŒΠ½Ρ‹ΠΌ подвСсом ΠΏΡ€ΠΎΠ²ΠΎΠ΄ΠΎΠ². ΠŸΡ€Π°ΠΊΡ‚ΠΈΡ‡Π΅ΡΠΊΠ°Ρ Ρ†Π΅Π½Π½ΠΎΡΡ‚ΡŒ. ΠŸΡ€ΠΈΠ²ΠΎΠ΄ΡΡ‚ΡΡ практичСскиС Ρ€Π΅ΠΊΠΎΠΌΠ΅Π½Π΄Π°Ρ†ΠΈΠΈ ΠΏΠΎ обоснованному Π²Ρ‹Π±ΠΎΡ€Ρƒ с Ρ‚ΠΎΡ‡ΠΊΠΈ зрСния практичСской Ρ€Π΅Π°Π»ΠΈΠ·Π°Ρ†ΠΈΠΈ пространствСнного располоТСния Π΄Π²ΡƒΡ… ΡΠΊΡ€Π°Π½ΠΈΡ€ΡƒΡŽΡ‰ΠΈΡ… ΠΎΠ±ΠΌΠΎΡ‚ΠΎΠΊ Π΄Π²ΡƒΡ…ΠΊΠΎΠ½Ρ‚ΡƒΡ€Π½ΠΎΠΉ робастной систСмы Π°ΠΊΡ‚ΠΈΠ²Π½ΠΎΠ³ΠΎ экранирования ΠΌΠ°Π³Π½ΠΈΡ‚Π½ΠΎΠ³ΠΎ поля с ΠΊΡ€ΡƒΠ³ΠΎΠ²ΠΎΠΉ пространствСнно-Π²Ρ€Π΅ΠΌΠ΅Π½Π½ΠΎΠΉ характСристикой, создаваСмого ΠΎΠ΄Π½ΠΎΠΊΠΎΠ½Ρ‚ΡƒΡ€Π½ΠΎΠΉ Π²ΠΎΠ·Π΄ΡƒΡˆΠ½ΠΎΠΉ Π»ΠΈΠ½ΠΈΠ΅ΠΉ элСктропСрСдачи с Ρ‚Ρ€Π΅ΡƒΠ³ΠΎΠ»ΡŒΠ½Ρ‹ΠΌ подвСсом ΠΏΡ€ΠΎΠ²ΠΎΠ΄ΠΎΠ²

    High voltage power lines magnetic field system of active shielding with compensation coildifferent spatial arrangement

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    Aim. The synthesis of single-circuit system of active shielding of magnetic field, generated by group of high voltage power lines, with different spatial arrangement of shielding coil. Methodology. The synthesis isbased on the decisionof a multi-criteria stochastic game, in which the vector payoff is calculated on the basis of the Maxwell equations solutions in the quasi-stationary approximation. The game decision is based on the stochastic multiagent optimization algorithms by multiswarm particles. The initial parameters for the synthesis of active shielding system are the location of the high voltage power lines with respect to the shielding space, geometry and number of shielding coils, operating currents, as well as the size of the shielding space and normative value magnetic flux density, which should be achieved as a result of shielding. The objective of the synthesis of the active shielding system is to determine their number, configuration, spatial arrangement, wiring diagrams and shielding coils currents, setting algorithm of the control systems as well as the resulting of the magnetic flux density value at the points ofthe shielding space. Results. Three variant of single-circuit robust system of active shielding with different spatial arrangement of shielding coil synthesis results for reduction of a magnetic field generated by group of high voltagepower lines is given. The possibility of a significant reduction in the level of magnetic flux density of the magnetic field source within and reducing the sensitivity of the system to uncertainty ofthe plant parameters is given. Originality. For the first time carried out the synthesis, theoretical and experimentalresearch of the robust system of active shielding of magnetic field generated by group of high voltage power lines with differentspatial arrangement of compensation coil. Practical value. Practical recommendations from the point of view of the practical implementation on reasonable choice of the spatial arrangement of shielding coil of robust single-circuit system of active shielding of the magnetic field generated by the group of high voltage power lines is given.ЦСль. Π‘ΠΈΠ½Ρ‚Π΅Π· ΠΎΠ΄Π½ΠΎΠΊΠΎΠ½Ρ‚ΡƒΡ€Π½ΠΎΠΉ робастной систСмы Π°ΠΊΡ‚ΠΈΠ²Π½ΠΎΠ³ΠΎ экранирования ΠΌΠ°Π³Π½ΠΈΡ‚Π½ΠΎΠ³ΠΎ поля, создаваСмого Π³Ρ€ΡƒΠΏΠΏΠΎΠΉ Π²Ρ‹ΡΠΎΠΊΠΎΠ²ΠΎΠ»ΡŒΡ‚Π½Ρ‹Ρ… Π»ΠΈΠ½ΠΈΠΉ элСктропСрСдачи, с Ρ€Π°Π·Π»ΠΈΡ‡Π½Ρ‹ΠΌ пространствСнным располоТСниСм ΡΠΊΡ€Π°Π½ΠΈΡ€ΡƒΡŽΡ‰Π΅ΠΉ ΠΎΠ±ΠΌΠΎΡ‚ΠΊΠΈ. ΠœΠ΅Ρ‚ΠΎΠ΄ΠΎΠ»ΠΎΠ³ΠΈΡ. Π‘ΠΈΠ½Ρ‚Π΅Π· основан Π½Π° Ρ€Π΅ΡˆΠ΅Π½ΠΈΠΈ ΠΌΠ½ΠΎΠ³ΠΎΠΊΡ€ΠΈΡ‚Π΅Ρ€ΠΈΠ°Π»ΡŒΠ½ΠΎΠΉ стохастичСской ΠΈΠ³Ρ€Ρ‹, Π² ΠΊΠΎΡ‚ΠΎΡ€ΠΎΠΉ Π²Π΅ΠΊΡ‚ΠΎΡ€Π½Ρ‹ΠΉ Π²Ρ‹ΠΈΠ³Ρ€Ρ‹Ρˆ вычисляСтся Π½Π° основании Ρ€Π΅ΡˆΠ΅Π½ΠΈΠΉ ΡƒΡ€Π°Π²Π½Π΅Π½ΠΈΠΉ МаксвСлла Π² квазистационарном ΠΏΡ€ΠΈΠ±Π»ΠΈΠΆΠ΅Π½ΠΈΠΈ. РСшСниС ΠΈΠ³Ρ€Ρ‹ находится Π½Π° основС Π°Π»Π³ΠΎΡ€ΠΈΡ‚ΠΌΠΎΠ² стохастичСской ΠΌΡƒΠ»ΡŒΡ‚ΠΈΠ°Π³Π΅Π½Ρ‚Π½ΠΎΠΉ ΠΎΠΏΡ‚ΠΈΠΌΠΈΠ·Π°Ρ†ΠΈΠΈ ΠΌΡƒΠ»ΡŒΡ‚ΠΈΡ€ΠΎΠ΅ΠΌ частиц. Π˜ΡΡ…ΠΎΠ΄Π½Ρ‹ΠΌΠΈ ΠΏΠ°Ρ€Π°ΠΌΠ΅Ρ‚Ρ€Π°ΠΌΠΈ для синтСза систСмы Π°ΠΊΡ‚ΠΈΠ²Π½ΠΎΠ³ΠΎ экранирования ΡΠ²Π»ΡΡŽΡ‚ΡΡ располоТСниС Π²Ρ‹ΡΠΎΠΊΠΎΠ²ΠΎΠ»ΡŒΡ‚Π½Ρ‹Ρ… Π»ΠΈΠ½ΠΈΠΉ элСктропСрСдачи ΠΏΠΎ ΠΎΡ‚Π½ΠΎΡˆΠ΅Π½ΠΈΡŽ ΠΊ Π·Π°Ρ‰ΠΈΡ‰Π°Π΅ΠΌΠΎΠΌΡƒ пространству, гСомСтричСскиС Ρ€Π°Π·ΠΌΠ΅Ρ€Ρ‹, количСство ΠΏΡ€ΠΎΠ²ΠΎΠ΄ΠΎΠ² ΠΈ Ρ€Π°Π±ΠΎΡ‡ΠΈΠ΅ Ρ‚ΠΎΠΊΠΈ Π»ΠΈΠ½ΠΈΠΈ элСктропСрСдачи, Π° Ρ‚Π°ΠΊΠΆΠ΅ Ρ€Π°Π·ΠΌΠ΅Ρ€Ρ‹ экранируСмого пространства ΠΈ Π½ΠΎΡ€ΠΌΠ°Ρ‚ΠΈΠ²Π½ΠΎΠ΅ Π·Π½Π°Ρ‡Π΅Π½ΠΈΠ΅ ΠΈΠ½Π΄ΡƒΠΊΡ†ΠΈΠΈ ΠΌΠ°Π³Π½ΠΈΡ‚Π½ΠΎΠ³ΠΎ поля, ΠΊΠΎΡ‚ΠΎΡ€ΠΎΠ΅ Π΄ΠΎΠ»ΠΆΠ½ΠΎ Π±Ρ‹Ρ‚ΡŒ достигнуто Π² Ρ€Π΅Π·ΡƒΠ»ΡŒΡ‚Π°Ρ‚Π΅ экранирования. ЦСлью синтСза систСмы Π°ΠΊΡ‚ΠΈΠ²Π½ΠΎΠ³ΠΎ экранирования являСтся ΠΎΠΏΡ€Π΅Π΄Π΅Π»Π΅Π½ΠΈΠ΅ количСства, ΠΊΠΎΠ½Ρ„ΠΈΠ³ΡƒΡ€Π°Ρ†ΠΈΠΈ, пространствСнного располоТСния, схСм элСктропитания ΠΈ Ρ‚ΠΎΠΊΠΎΠ² ΡΠΊΡ€Π°Π½ΠΈΡ€ΡƒΡŽΡ‰Π΅ΠΉ ΠΎΠ±ΠΌΠΎΡ‚ΠΎΠΊ, Π°Π»Π³ΠΎΡ€ΠΈΡ‚ΠΌΠ° Ρ€Π°Π±ΠΎΡ‚Ρ‹ систСмы управлСния, Π° Ρ‚Π°ΠΊΠΆΠ΅ Ρ€Π΅Π·ΡƒΠ»ΡŒΡ‚ΠΈΡ€ΡƒΡŽΡ‰Π΅Π³ΠΎ значСния ΠΈΠ½Π΄ΡƒΠΊΡ†ΠΈΠΎΠ½Π½ΠΎΠ³ΠΎ ΠΌΠ°Π³Π½ΠΈΡ‚Π½ΠΎΠ³ΠΎ поля Π² Ρ‚ΠΎΡ‡ΠΊΠ°Ρ… экранируСмого пространства. Π Π΅Π·ΡƒΠ»ΡŒΡ‚Π°Ρ‚Ρ‹. ΠŸΡ€ΠΈΠ²ΠΎΠ΄ΡΡ‚ΡΡ Ρ€Π΅Π·ΡƒΠ»ΡŒΡ‚Π°Ρ‚Ρ‹ Ρ‚Ρ€Π΅Ρ… Π²Π°Ρ€ΠΈΠ°Π½Ρ‚ΠΎΠ² синтСза ΠΎΠ΄Π½ΠΎΠΊΠΎΠ½Ρ‚ΡƒΡ€Π½ΠΎΠΉ робастной систСмы Π°ΠΊΡ‚ΠΈΠ²Π½ΠΎΠ³ΠΎ экранирования с Ρ€Π°Π·Π»ΠΈΡ‡Π½Ρ‹ΠΌ пространствСнным располоТСниСм ΡΠΊΡ€Π°Π½ΠΈΡ€ΡƒΡŽΡ‰Π΅ΠΉ ΠΎΠ±ΠΌΠΎΡ‚ΠΊΠΈ для ΡƒΠΌΠ΅Π½ΡŒΡˆΠ΅Π½ΠΈΡ ΠΌΠ°Π³Π½ΠΈΡ‚Π½ΠΎΠ³ΠΎ поля, создаваСмого Π³Ρ€ΡƒΠΏΠΏΠΎΠΉ Π²Ρ‹ΡΠΎΠΊΠΎΠ²ΠΎΠ»ΡŒΡ‚Π½Ρ‹Ρ… Π»ΠΈΠ½ΠΈΠΉ элСктропСрСдачи. Показана Π²ΠΎΠ·ΠΌΠΎΠΆΠ½ΠΎΡΡ‚ΡŒ сущСствСнного сниТСния уровня ΠΈΠ½Π΄ΡƒΠΊΡ†ΠΈΠΈ исходного ΠΌΠ°Π³Π½ΠΈΡ‚Π½ΠΎΠ³ΠΎ поля Π²Π½ΡƒΡ‚Ρ€ΠΈ экранируСмого пространства ΠΈ сниТСния Ρ‡ΡƒΠ²ΡΡ‚Π²ΠΈΡ‚Π΅Π»ΡŒΠ½ΠΎΡΡ‚ΠΈ систСмы ΠΊ нСопрСдСлСнности ΠΏΠ°Ρ€Π°ΠΌΠ΅Ρ‚Ρ€ΠΎΠ² систСмы. ΠžΡ€ΠΈΠ³ΠΈΠ½Π°Π»ΡŒΠ½ΠΎΡΡ‚ΡŒ. Π’ΠΏΠ΅Ρ€Π²Ρ‹Π΅ ΠΏΡ€ΠΎΠ²Π΅Π΄Π΅Π½Ρ‹ синтСз, тСорСтичСскиС ΠΈ ΡΠΊΡΠΏΠ΅Ρ€ΠΈΠΌΠ΅Π½Ρ‚Π°Π»ΡŒΠ½Ρ‹Π΅ исслСдования ΠΎΠ΄Π½ΠΎΠΊΠΎΠ½Ρ‚ΡƒΡ€Π½ΠΎΠΉ робастной систСмы Π°ΠΊΡ‚ΠΈΠ²Π½ΠΎΠ³ΠΎ экранирования ΠΌΠ°Π³Π½ΠΈΡ‚Π½ΠΎΠ³ΠΎ поля, создаваСмых Π³Ρ€ΡƒΠΏΠΏΠΎΠΉ Π²Ρ‹ΡΠΎΠΊΠΎΠ²ΠΎΠ»ΡŒΡ‚Π½Ρ‹ΠΌΠΈ линиями элСктропСрСдач Π² области экранируСмого пространства, с Ρ€Π°Π·Π»ΠΈΡ‡Π½Ρ‹ΠΌ пространствСнным располоТСниСм ΡΠΊΡ€Π°Π½ΠΈΡ€ΡƒΡŽΡ‰Π΅ΠΉ ΠΎΠ±ΠΌΠΎΡ‚ΠΊΠΈ. ΠŸΡ€Π°ΠΊΡ‚ΠΈΡ‡Π΅ΡΠΊΠ°Ρ Ρ†Π΅Π½Π½ΠΎΡΡ‚ΡŒ. ΠŸΡ€ΠΈΠ²ΠΎΠ΄ΡΡ‚ΡΡ практичСскиС Ρ€Π΅ΠΊΠΎΠΌΠ΅Π½Π΄Π°Ρ†ΠΈΠΈ ΠΏΠΎ обоснованному Π²Ρ‹Π±ΠΎΡ€Ρƒ с Ρ‚ΠΎΡ‡ΠΊΠΈ зрСния практичСской Ρ€Π΅Π°Π»ΠΈΠ·Π°Ρ†ΠΈΠΈ пространствСнного располоТСния ΡΠΊΡ€Π°Π½ΠΈΡ€ΡƒΡŽΡ‰Π΅ΠΉ ΠΎΠ±ΠΌΠΎΡ‚ΠΊΠΈ ΠΎΠ΄Π½ΠΎΠΊΠΎΠ½Ρ‚ΡƒΡ€Π½ΠΎΠΉ робастной систСмы Π°ΠΊΡ‚ΠΈΠ²Π½ΠΎΠ³ΠΎ экранирования ΠΌΠ°Π³Π½ΠΈΡ‚Π½ΠΎΠ³ΠΎ поля, создаваСмого Π³Ρ€ΡƒΠΏΠΏΠΎΠΉ Π²Ρ‹ΡΠΎΠΊΠΎΠ²ΠΎΠ»ΡŒΡ‚Π½Ρ‹Ρ… Π»ΠΈΠ½ΠΈΠΉ элСктропСрСдач

    STRUCTURAL-PARAMETRIC SYNTHESIS OF ROLLING MILLS MULTI-MOTOR ELECTRIC DRIVES

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    Aim. Improving of control accuracy by rolling strip thickness and tension and reducing of sensitivity to changes of plant parameters based on structural-parametric synthesis of robust control by rolling mills multi-motor electric drives with parametric uncertainty. Methodology. The method of structural-parametric synthesis of robust control by rolling mills multi-motor electric drives with parametric uncertainty which improves control accuracy by rolling strip thickness and tension and reducing of sensitivity to changes of plant parameters is developed. The method based on the multi-criteria game decision in which payoff vectors are dispersions of longitudinal thickness and tension of the rolled. The calculation of the payoff vector associated with modeling of the synthesized system with different input signals and for various values of the plant parameters for various modes of operation of the system. The multi criterion game solution is calculated based on particles multiswarm optimization algorithms. Results. The results of the structural-parametric synthesis of robust control by 740 three-stand cold rolling mills multi-motor electric drives are presented. Comparisons of the strip thickness and tension accuracy of the synthesized robust system with the existing system are completed. It is showed that the use of synthesized robust controllers allowed to improve strip thickness and tension accuracy and reduce the sensitivity of the system to changes of plant parameters in comparison with the existing system. Originality. For the first time the method of structural-parametric synthesis of robust control by rolling mills multi-motor electric drives with parametric uncertainty based on multi-criteria game decision and particles multiswarm optimization algorithms to improve the control accuracy by rolling strip thickness and tension and to reduce of sensitivity to changes of plant parameters is developed. Practical value. Practical recommendations on reasonable choice of the structure and parameters of robust control by 740 three-stand cold rolling mills multi-motor electric drives to improving of control accuracy by rolling strip thickness and tension and reducing of sensitivity to changes of plant parameters are given. ЦСль. ΠŸΠΎΠ²Ρ‹ΡˆΠ΅Π½ΠΈΠ΅ точности рСгулирования Ρ‚ΠΎΠ»Ρ‰ΠΈΠ½Ρ‹ ΠΈ натяТСния ΠΏΡ€ΠΎΠΊΠ°Ρ‚Ρ‹Π²Π°Π΅ΠΌΠΎΠΉ полосы ΠΈ сниТСниС Ρ‡ΡƒΠ²ΡΡ‚Π²ΠΈΡ‚Π΅Π»ΡŒΠ½ΠΎΡΡ‚ΠΈ ΠΊ измСнСниям ΠΏΠ°Ρ€Π°ΠΌΠ΅Ρ‚Ρ€ΠΎΠ² ΠΎΠ±ΡŠΠ΅ΠΊΡ‚Π° управлСния Π½Π° основС структурно-парамСтричСского синтСза робастного управлСния ΠΌΠ½ΠΎΠ³ΠΎΠ΄Π²ΠΈΠ³Π°Ρ‚Π΅Π»ΡŒΠ½Ρ‹ΠΌΠΈ элСктроприводами ΠΏΡ€ΠΎΠΊΠ°Ρ‚Π½Ρ‹Ρ… станов с парамСтричСской Π½Π΅ΠΎΠΏΡ€Π΅Π΄Π΅Π»Π΅Π½Π½ΠΎΡΡ‚ΡŒΡŽ. ΠœΠ΅Ρ‚ΠΎΠ΄ΠΎΠ»ΠΎΠ³ΠΈΡ. Π Π°Π·Ρ€Π°Π±ΠΎΡ‚Π°Π½ ΠΌΠ΅Ρ‚ΠΎΠ΄ структурно-парамСтричСского синтСза робастного управлСния ΠΌΠ½ΠΎΠ³ΠΎΠ΄Π²ΠΈΠ³Π°Ρ‚Π΅Π»ΡŒΠ½Ρ‹ΠΌΠΈ элСктроприводами ΠΏΡ€ΠΎΠΊΠ°Ρ‚Π½Ρ‹Ρ… станов с парамСтричСской Π½Π΅ΠΎΠΏΡ€Π΅Π΄Π΅Π»Π΅Π½Π½ΠΎΡΡ‚ΡŒΡŽ, ΠΊΠΎΡ‚ΠΎΡ€Ρ‹ΠΉ позволяСт ΠΏΠΎΠ²Ρ‹ΡΠΈΡ‚ΡŒ Ρ‚ΠΎΡ‡Π½ΠΎΡΡ‚ΡŒ рСгулирования Ρ‚ΠΎΠ»Ρ‰ΠΈΠ½Ρ‹ ΠΈ натяТСния ΠΏΡ€ΠΎΠΊΠ°Ρ‚Ρ‹Π²Π°Π΅ΠΌΠΎΠΉ полосы ΠΈ ΡΠ½ΠΈΠ·ΠΈΡ‚ΡŒ Ρ‡ΡƒΠ²ΡΡ‚Π²ΠΈΡ‚Π΅Π»ΡŒΠ½ΠΎΡΡ‚ΡŒ ΠΊ измСнСниям ΠΏΠ°Ρ€Π°ΠΌΠ΅Ρ‚Ρ€ΠΎΠ² ΠΎΠ±ΡŠΠ΅ΠΊΡ‚Π° управлСния. ΠœΠ΅Ρ‚ΠΎΠ΄ основан Π½Π° Ρ€Π΅ΡˆΠ΅Π½ΠΈΠΈ ΠΌΠ½ΠΎΠ³ΠΎΠΊΡ€ΠΈΡ‚Π΅Ρ€ΠΈΠ°Π»ΡŒΠ½ΠΎΠΉ ΠΈΠ³Ρ€Ρ‹, Π² ΠΊΠΎΡ‚ΠΎΡ€ΠΎΠΉ Π²Π΅ΠΊΡ‚ΠΎΡ€ΠΎΠΌ Π²Ρ‹ΠΈΠ³Ρ€Ρ‹ΡˆΠ° ΡΠ²Π»ΡΡŽΡ‚ΡΡ диспСрсии ΠΏΡ€ΠΎΠ΄ΠΎΠ»ΡŒΠ½ΠΎΠΉ Ρ‚ΠΎΠ»Ρ‰ΠΈΠ½Ρ‹ ΠΈ натяТСния ΠΏΡ€ΠΎΠΊΠ°Ρ‚Ρ‹Π²Π°Π΅ΠΌΠΎΠΉ полосы. ВычислСниС Π²Π΅ΠΊΡ‚ΠΎΡ€Π° Π²Ρ‹ΠΈΠ³Ρ€Ρ‹ΡˆΠ° связано с ΠΌΠΎΠ΄Π΅Π»ΠΈΡ€ΠΎΠ²Π°Π½ΠΈΠ΅ΠΌ синтСзированной систСмы ΠΏΡ€ΠΈ Ρ€Π°Π·Π»ΠΈΡ‡Π½Ρ‹Ρ… Π²Ρ…ΠΎΠ΄Π½Ρ‹Ρ… сигналах, для Ρ€Π°Π·Π»ΠΈΡ‡Π½Ρ‹Ρ… Π·Π½Π°Ρ‡Π΅Π½ΠΈΠΉ ΠΏΠ°Ρ€Π°ΠΌΠ΅Ρ‚Ρ€ΠΎΠ² ΠΎΠ±ΡŠΠ΅ΠΊΡ‚Π° управлСния ΠΈ Π² Ρ€Π°Π·Π»ΠΈΡ‡Π½Ρ‹Ρ… Ρ€Π΅ΠΆΠΈΠΌΠ°Ρ… Ρ€Π°Π±ΠΎΡ‚Ρ‹. РСшСниС ΠΌΠ½ΠΎΠ³ΠΎΠΊΡ€ΠΈΡ‚Π΅Ρ€ΠΈΠ°Π»ΡŒΠ½ΠΎΠΉ ΠΈΠ³Ρ€Ρ‹ основано Π½Π° Π°Π»Π³ΠΎΡ€ΠΈΡ‚ΠΌΠ°Ρ… ΠΎΠΏΡ‚ΠΈΠΌΠΈΠ·Π°Ρ†ΠΈΠΈ Ρ€ΠΎΠ΅ΠΌ частиц. Π Π΅Π·ΡƒΠ»ΡŒΡ‚Π°Ρ‚Ρ‹. ΠŸΡ€ΠΈΠ²ΠΎΠ΄ΡΡ‚ΡΡ Ρ€Π΅Π·ΡƒΠ»ΡŒΡ‚Π°Ρ‚Ρ‹ структурно-парамСтричСского синтСза робастного управлСния ΠΌΠ½ΠΎΠ³ΠΎΠ΄Π²ΠΈΠ³Π°Ρ‚Π΅Π»ΡŒΠ½Ρ‹ΠΌ элСктроприводом Ρ‚Ρ€Π΅Ρ…ΠΊΠ»Π΅Ρ‚ΡŒΠ΅Π²ΠΎΠ³ΠΎ стана Ρ…ΠΎΠ»ΠΎΠ΄Π½ΠΎΠΉ ΠΏΡ€ΠΎΠΊΠ°Ρ‚ΠΊΠΈ 740. ΠŸΡ€ΠΎΠ²Π΅Π΄Π΅Π½ΠΎ сравнСниС точности рСгулирования Ρ‚ΠΎΠ»Ρ‰ΠΈΠ½Ρ‹ ΠΈ натяТСния полосы Π² синтСзированной робастной ΠΈ Π² ΡΡƒΡ‰Π΅ΡΡ‚Π²ΡƒΡŽΡ‰Π΅ΠΉ систСмах. Показано, Ρ‡Ρ‚ΠΎ ΠΏΡ€ΠΈΠΌΠ΅Π½Π΅Π½ΠΈΠ΅ синтСзированного робастного рСгулятора ΠΏΠΎΠ·Π²ΠΎΠ»ΠΈΠ»ΠΎ ΠΏΠΎΠ²Ρ‹ΡΠΈΡ‚ΡŒ Ρ‚ΠΎΡ‡Π½ΠΎΡΡ‚ΡŒ рСгулирования Ρ‚ΠΎΠ»Ρ‰ΠΈΠ½Ρ‹ ΠΈ натяТСния полосы ΠΈ ΡΠ½ΠΈΠ·ΠΈΡ‚ΡŒ Ρ‡ΡƒΠ²ΡΡ‚Π²ΠΈΡ‚Π΅Π»ΡŒΠ½ΠΎΡΡ‚ΡŒ систСмы ΠΊ измСнСниям ΠΏΠ°Ρ€Π°ΠΌΠ΅Ρ‚Ρ€ΠΎΠ² ΠΎΠ±ΡŠΠ΅ΠΊΡ‚Π° управлСния ΠΏΠΎ ΡΡ€Π°Π²Π½Π΅Π½ΠΈΡŽ с ΡΡƒΡ‰Π΅ΡΡ‚Π²ΡƒΡŽΡ‰Π΅ΠΉ систСмой. ΠžΡ€ΠΈΠ³ΠΈΠ½Π°Π»ΡŒΠ½ΠΎΡΡ‚ΡŒ. Π’ΠΏΠ΅Ρ€Π²Ρ‹Π΅ Ρ€Π°Π·Ρ€Π°Π±ΠΎΡ‚Π°Π½ ΠΌΠ΅Ρ‚ΠΎΠ΄ структурно-парамСтричСского синтСза робастного управлСния ΠΌΠ½ΠΎΠ³ΠΎΠ΄Π²ΠΈΠ³Π°Ρ‚Π΅Π»ΡŒΠ½Ρ‹ΠΌΠΈ элСктроприводами ΠΏΡ€ΠΎΠΊΠ°Ρ‚Π½Ρ‹Ρ… станов с парамСтричСской Π½Π΅ΠΎΠΏΡ€Π΅Π΄Π΅Π»Π΅Π½Π½ΠΎΡΡ‚ΡŒΡŽ Π½Π° основС Ρ€Π΅ΡˆΠ΅Π½ΠΈΡ ΠΌΠ½ΠΎΠ³ΠΎΠΊΡ€ΠΈΡ‚Π΅Ρ€ΠΈΠ°Π»ΡŒΠ½ΠΎΠΉ ΠΈΠ³Ρ€Ρ‹ ΠΈ Π°Π»Π³ΠΎΡ€ΠΈΡ‚ΠΌΠΎΠ² ΠΎΠΏΡ‚ΠΈΠΌΠΈΠ·Π°Ρ†ΠΈΠΈ Ρ€ΠΎΠ΅ΠΌ частиц для ΠΏΠΎΠ²Ρ‹ΡˆΠ΅Π½ΠΈΡ точности рСгулирования Ρ‚ΠΎΠ»Ρ‰ΠΈΠ½Ρ‹ ΠΈ натяТСния ΠΏΡ€ΠΎΠΊΠ°Ρ‚Ρ‹Π²Π°Π΅ΠΌΠΎΠΉ полосы ΠΈ сниТСния Ρ‡ΡƒΠ²ΡΡ‚Π²ΠΈΡ‚Π΅Π»ΡŒΠ½ΠΎΡΡ‚ΠΈ ΠΊ измСнСниям ΠΏΠ°Ρ€Π°ΠΌΠ΅Ρ‚Ρ€ΠΎΠ² ΠΎΠ±ΡŠΠ΅ΠΊΡ‚Π° управлСния. ΠŸΡ€Π°ΠΊΡ‚ΠΈΡ‡Π΅ΡΠΊΠ°Ρ Ρ†Π΅Π½Π½ΠΎΡΡ‚ΡŒ. Π”Π°Π½Ρ‹ практичСскиС Ρ€Π΅ΠΊΠΎΠΌΠ΅Π½Π΄Π°Ρ†ΠΈΠΈ ΠΏΠΎ обоснованному Π²Ρ‹Π±ΠΎΡ€Ρƒ структуры ΠΈ ΠΏΠ°Ρ€Π°ΠΌΠ΅Ρ‚Ρ€ΠΎΠ² робастного управлСния Ρ‚Ρ€Π΅Ρ…ΠΊΠ»Π΅Ρ‚ΡŒΠ΅Π²Ρ‹ΠΌ станом Ρ…ΠΎΠ»ΠΎΠ΄Π½ΠΎΠΉ ΠΏΡ€ΠΎΠΊΠ°Ρ‚ΠΊΠΈ 740 для ΠΏΠΎΠ²Ρ‹ΡˆΠ΅Π½ΠΈΡ точности рСгулирования Ρ‚ΠΎΠ»Ρ‰ΠΈΠ½Ρ‹ ΠΈ натяТСния ΠΏΡ€ΠΎΠΊΠ°Ρ‚Ρ‹Π²Π°Π΅ΠΌΠΎΠΉ полосы ΠΈ сниТСниС Ρ‡ΡƒΠ²ΡΡ‚Π²ΠΈΡ‚Π΅Π»ΡŒΠ½ΠΎΡΡ‚ΠΈ ΠΊ измСнСниям ΠΏΠ°Ρ€Π°ΠΌΠ΅Ρ‚Ρ€ΠΎΠ² ΠΎΠ±ΡŠΠ΅ΠΊΡ‚Π° управлСния.

    SIMPLIFIED MATHEMATICAL MODEL OF GROUP OF OVERHEAD POWER LINES MAGNETIC FIELD

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    Aim. The method for design of simplified mathematical model of the group of overhead power lines magnetic field allowing to reduce the number of conductors which are taken into account in the model and field and allowing to reduce the sensitivity of the model to plant parameters uncertainty is developed. Methodology. The method based on the multi-criteria game decision, in which the payoff vector is calculated on the basis of the Maxwell equations quasi-stationary approximation solutions. The game decision based on the stochastic particles multiswarm optimization algorithms. The implementation of the method is carried out when determining the number, configuration, spatial arrangement and currents in conductors based on simplified mathematical model of the group of overhead power line magnetic field in a given space area. Results. Computer simulation and field experimental research results of simplified mathematical model on the example of the group of four overhead power lines magnetic field including 21 conductors where based on the developed simplified mathematical model of the magnetic field, the number of conductors taken into account in the model is reduced to 6, and the modeling error does not exceed 4 %. Originality. For the first time the method for design of simplified mathematical model of the group of overhead power lines magnetic field based on the stochastic particles multiswarm optimization algorithms, which allows to significantly simplify the simulation by reducing the number of conductors that are taken into account in the model and to reduce the sensitivity of the model to plant parameters uncertainty, and at the same time limit the modeling error at the engineering level to 5-10 %. Practical value. Practical recommendations on reasonable choice of the minimal number, configuration, spatial arrangement and currents in conductors for the simplified mathematical model of the group of overhead power line magnetic field. ЦСль. Π Π°Π·Ρ€Π°Π±ΠΎΡ‚Π°Π½ ΠΌΠ΅Ρ‚ΠΎΠ΄ построСния ΡƒΠΏΡ€ΠΎΡ‰Π΅Π½Π½ΠΎΠΉ матСматичСской ΠΌΠΎΠ΄Π΅Π»ΠΈ ΠΌΠ°Π³Π½ΠΈΡ‚Π½ΠΎΠ³ΠΎ поля Π³Ρ€ΡƒΠΏΠΏΡ‹ Π²ΠΎΠ·Π΄ΡƒΡˆΠ½Ρ‹Ρ… Π»ΠΈΠ½ΠΈΠΉ элСктропСрСдачи, ΠΏΠΎΠ·Π²ΠΎΠ»ΡΡŽΡ‰ΠΈΠΉ ΡƒΠΌΠ΅Π½ΡŒΡˆΠΈΡ‚ΡŒ количСство ΠΏΡ€ΠΎΠ²ΠΎΠ΄Π½ΠΈΠΊΠΎΠ², ΠΊΠΎΡ‚ΠΎΡ€Ρ‹Π΅ ΡƒΡ‡ΠΈΡ‚Ρ‹Π²Π°ΡŽΡ‚ΡΡ Π² ΠΌΠΎΠ΄Π΅Π»ΠΈ для сниТСния Ρ‡ΡƒΠ²ΡΡ‚Π²ΠΈΡ‚Π΅Π»ΡŒΠ½ΠΎΡΡ‚ΠΈ ΠΌΠΎΠ΄Π΅Π»ΠΈ ΠΊ нСопрСдСлСнности ΠΏΠ°Ρ€Π°ΠΌΠ΅Ρ‚Ρ€ΠΎΠ² ΠΎΠ±ΡŠΠ΅ΠΊΡ‚Π° управлСния. ΠœΠ΅Ρ‚ΠΎΠ΄ΠΎΠ»ΠΎΠ³ΠΈΡ. ΠœΠ΅Ρ‚ΠΎΠ΄ основан Π½Π° Ρ€Π΅ΡˆΠ΅Π½ΠΈΠΈ ΠΌΠ½ΠΎΠ³ΠΎΠΊΡ€ΠΈΡ‚Π΅Ρ€ΠΈΠ°Π»ΡŒΠ½ΠΎΠΉ стохастичСской ΠΈΠ³Ρ€Ρ‹, Π² ΠΊΠΎΡ‚ΠΎΡ€ΠΎΠΉ Π²Π΅ΠΊΡ‚ΠΎΡ€Π½Ρ‹ΠΉ Π²Ρ‹ΠΈΠ³Ρ€Ρ‹Ρˆ вычисляСтся Π½Π° основании Ρ€Π΅ΡˆΠ΅Π½ΠΈΠΉ ΡƒΡ€Π°Π²Π½Π΅Π½ΠΈΠΉ МаксвСлла Π² квазистационарном ΠΏΡ€ΠΈΠ±Π»ΠΈΠΆΠ΅Π½ΠΈΠΈ. РСшСниС ΠΈΠ³Ρ€Ρ‹ находится Π½Π° основС Π°Π»Π³ΠΎΡ€ΠΈΡ‚ΠΌΠΎΠ² стохастичСской ΠΌΡƒΠ»ΡŒΡ‚ΠΈΠ°Π³Π΅Π½Ρ‚Π½ΠΎΠΉ ΠΎΠΏΡ‚ΠΈΠΌΠΈΠ·Π°Ρ†ΠΈΠΈ ΠΌΡƒΠ»ΡŒΡ‚ΠΈΡ€ΠΎΠ΅ΠΌ частиц. РСализация ΠΌΠ΅Ρ‚ΠΎΠ΄Π° осущСствляСтся ΠΏΡ€ΠΈ ΠΎΠΏΡ€Π΅Π΄Π΅Π»Π΅Π½ΠΈΠΈ количСства, ΠΊΠΎΠ½Ρ„ΠΈΠ³ΡƒΡ€Π°Ρ†ΠΈΠΈ, пространствСнного располоТСния ΠΈ Ρ‚ΠΎΠΊΠΎΠ² Π² ΠΏΡ€ΠΎΠ²ΠΎΠ΄Π½ΠΈΠΊΠ°Ρ… Π½Π° основС ΡƒΠΏΡ€ΠΎΡ‰Π΅Π½Π½ΠΎΠΉ матСматичСской ΠΌΠΎΠ΄Π΅Π»ΠΈ ΠΌΠ°Π³Π½ΠΈΡ‚Π½ΠΎΠ³ΠΎ поля Π³Ρ€ΡƒΠΏΠΏΡ‹ Π²ΠΎΠ·Π΄ΡƒΡˆΠ½Ρ‹Ρ… Π»ΠΈΠ½ΠΈΠΉ элСктропСрСдачи Π² Π·Π°Π΄Π°Π½Π½ΠΎΠΉ области пространства. Π Π΅Π·ΡƒΠ»ΡŒΡ‚Π°Ρ‚Ρ‹. ΠŸΡ€ΠΈΠ²ΠΎΠ΄ΡΡ‚ΡΡ Ρ€Π΅Π·ΡƒΠ»ΡŒΡ‚Π°Ρ‚Ρ‹ ΠΊΠΎΠΌΠΏΡŒΡŽΡ‚Π΅Ρ€Π½ΠΎΠ³ΠΎ модСлирования ΠΈ ΠΏΠΎΠ»Π΅Π²Ρ‹Ρ… ΡΠΊΡΠΏΠ΅Ρ€ΠΈΠΌΠ΅Π½Ρ‚Π°Π»ΡŒΠ½Ρ‹Ρ… исслСдований Π½Π° ΠΏΡ€ΠΈΠΌΠ΅Ρ€Π΅ Π³Ρ€ΡƒΠΏΠΏΡ‹ ΠΈΠ· Ρ‡Π΅Ρ‚Ρ‹Ρ€Π΅Ρ… Π²ΠΎΠ·Π΄ΡƒΡˆΠ½Ρ‹Ρ… Π»ΠΈΠ½ΠΈΠΉ элСктропСрСдачи, содСрТащСй 21ΠΏΡ€ΠΎΠ²ΠΎΠ΄Π½ΠΈΠΊ, Π³Π΄Π΅ Π½Π° основС Ρ€Π°Π·Ρ€Π°Π±ΠΎΡ‚Π°Π½Π½ΠΎΠΉ ΡƒΠΏΡ€ΠΎΡ‰Π΅Π½Π½ΠΎΠΉ матСматичСской ΠΌΠΎΠ΄Π΅Π»ΠΈ ΠΌΠ°Π³Π½ΠΈΡ‚Π½ΠΎΠ³ΠΎ поля количСство ΡƒΡ‡ΠΈΡ‚Ρ‹Π²Π°Π΅ΠΌΡ‹Ρ… Π² ΠΌΠΎΠ΄Π΅Π»ΠΈ ΠΏΡ€ΠΎΠ²ΠΎΠ΄Π½ΠΈΠΊΠΎΠ² ΡƒΠΌΠ΅Π½ΡŒΡˆΠ΅Π½ΠΎ Π΄ΠΎ 6, Π° ΠΏΠΎΠ³Ρ€Π΅ΡˆΠ½ΠΎΡΡ‚ΡŒ модСлирования ΠΏΡ€ΠΈ этом Π½Π΅ ΠΏΡ€Π΅Π²Ρ‹ΡˆΠ°Π΅Ρ‚ 4 %. ΠžΡ€ΠΈΠ³ΠΈΠ½Π°Π»ΡŒΠ½ΠΎΡΡ‚ΡŒ. Π’ΠΏΠ΅Ρ€Π²Ρ‹Π΅ Ρ€Π°Π·Ρ€Π°Π±ΠΎΡ‚Π°Π½ ΠΌΠ΅Ρ‚ΠΎΠ΄ построСния ΡƒΠΏΡ€ΠΎΡ‰Π΅Π½Π½ΠΎΠΉ матСматичСской ΠΌΠΎΠ΄Π΅Π»ΠΈ ΠΌΠ°Π³Π½ΠΈΡ‚Π½ΠΎΠ³ΠΎ поля Π³Ρ€ΡƒΠΏΠΏΡ‹ Π²ΠΎΠ·Π΄ΡƒΡˆΠ½Ρ‹Ρ… Π»ΠΈΠ½ΠΈΠΉ элСктропСрСдачи Π½Π° основС Π°Π»Π³ΠΎΡ€ΠΈΡ‚ΠΌΠΎΠ² стохастичСской ΠΌΡƒΠ»ΡŒΡ‚ΠΈΠ°Π³Π΅Π½Ρ‚Π½ΠΎΠΉ ΠΎΠΏΡ‚ΠΈΠΌΠΈΠ·Π°Ρ†ΠΈΠΈ ΠΌΡƒΠ»ΡŒΡ‚ΠΈΡ€ΠΎΠ΅ΠΌ частиц, ΠΏΠΎΠ·Π²ΠΎΠ»ΡΡŽΡ‰ΠΈΠΉ сущСствСнно ΡƒΠΏΡ€ΠΎΡΡ‚ΠΈΡ‚ΡŒ ΠΌΠΎΠ΄Π΅Π»ΠΈΡ€ΠΎΠ²Π°Π½ΠΈΠ΅ Π·Π° счСт ΡƒΠΌΠ΅Π½ΡŒΡˆΠ΅Π½ΠΈΡ количСства ΠΏΡ€ΠΎΠ²ΠΎΠ΄Π½ΠΈΠΊΠΎΠ², ΠΊΠΎΡ‚ΠΎΡ€Ρ‹Π΅ ΡƒΡ‡ΠΈΡ‚Ρ‹Π²Π°ΡŽΡ‚ΡΡ Π² ΠΌΠΎΠ΄Π΅Π»ΠΈ для сниТСния Ρ‡ΡƒΠ²ΡΡ‚Π²ΠΈΡ‚Π΅Π»ΡŒΠ½ΠΎΡΡ‚ΠΈ ΠΌΠΎΠ΄Π΅Π»ΠΈ ΠΊ нСопрСдСлСнности ΠΏΠ°Ρ€Π°ΠΌΠ΅Ρ‚Ρ€ΠΎΠ² ΠΎΠ±ΡŠΠ΅ΠΊΡ‚Π° управлСния, ΠΈ ΠΏΡ€ΠΈ этом ΠΎΠ³Ρ€Π°Π½ΠΈΡ‡ΠΈΡ‚ΡŒ ΠΏΠΎΠ³Ρ€Π΅ΡˆΠ½ΠΎΡΡ‚ΡŒ модСлирования Π½Π° ΠΈΠ½ΠΆΠ΅Π½Π΅Ρ€Π½ΠΎΠΌ ΡƒΡ€ΠΎΠ²Π½Π΅ 5-10 %. ΠŸΡ€Π°ΠΊΡ‚ΠΈΡ‡Π΅ΡΠΊΠ°Ρ Ρ†Π΅Π½Π½ΠΎΡΡ‚ΡŒ. ΠŸΡ€ΠΈΠ²ΠΎΠ΄ΡΡ‚ΡΡ практичСскиС Ρ€Π΅ΠΊΠΎΠΌΠ΅Π½Π΄Π°Ρ†ΠΈΠΈ ΠΏΠΎ обоснованному Π²Ρ‹Π±ΠΎΡ€Ρƒ минимального количСства, ΠΊΠΎΠ½Ρ„ΠΈΠ³ΡƒΡ€Π°Ρ†ΠΈΠΈ, пространствСнного располоТСния ΠΈ Ρ‚ΠΎΠΊΠΎΠ² Π² ΠΏΡ€ΠΎΠ²ΠΎΠ΄Π½ΠΈΠΊΠ°Ρ… ΡƒΠΏΡ€ΠΎΡ‰Π΅Π½Π½ΠΎΠΉ матСматичСской ΠΌΠΎΠ΄Π΅Π»ΠΈ ΠΌΠ°Π³Π½ΠΈΡ‚Π½ΠΎΠ³ΠΎ поля, создаваСмого Π³Ρ€ΡƒΠΏΠΏΠΎΠΉ Π²ΠΎΠ·Π΄ΡƒΡˆΠ½Ρ‹Ρ… Π»ΠΈΠ½ΠΈΠΉ элСктропСрСдачи

    Regional Specificity of Proverbs and Sayings: Opportunities of Representation in Synoptic Phraseological Dictionary

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    The article presents the possibilities of the representation of the regional specificity of phraseology in the synoptic dictionary on a broad all-Russian and inter-regional background. The main provisions of the concept of such dictionary developed by lexicographers of Saint Petersburg and Pskov universities are formulated. The research urgency is caused by necessity of improvement of the system of dictionary description of regional phraseological material. The novelty of the study is to identify the optimal lexicographic techniques to show the features of the component composition of dialect proverbs and sayings, phraseological activity and metaphorical potential of their core components, to reveal the mechanism of development of phraseological meaning and to explicate its regional component. It is proved that the complex description of national proverbs and their regional variants in one dictionary article will allow to reveal universal and specific figurative motives and structural-semantic models of phraseological units. Particular attention is paid to the construction of linguistic and cultural commentary in a separate parametric zone of the dictionary entry and the inclusion of cultural and historical information in the definition of the headline. The expediency of attracting foreign-language phraseological parallels in the etymologization of dialect phraseological units functioning in the areas of cross-border interlanguage contacts is shown. The author’s approach to the dictionary representation of the transformations of proverbs and sayings in folk dialects, modern speech of citizens and media texts is innovative, it gives the opportunity to see the results of the linguistic creative activity of the national linguistic consciousness in various socio-cultural conditions

    ΠŸΠΠ Π•Π’Πž-ΠžΠŸΠ’Π˜ΠœΠΠ›Π¬ΠΠžΠ• Π Π•Π¨Π•ΠΠ˜Π• ΠœΠΠžΠ“ΠžΠšΠ Π˜Π’Π•Π Π˜ΠΠ›Π¬ΠΠžΠ™ Π—ΠΠ”ΠΠ§Π˜ Π‘Π˜ΠΠ’Π•Π—Π Π ΠžΠ‘ΠΠ‘Π’ΠΠ«Π₯ Π Π•Π“Π£Π›Π―Π’ΠžΠ ΠžΠ’ ΠœΠΠžΠ“ΠžΠœΠΠ‘Π‘ΠžΠ’Π«Π₯ Π­Π›Π•ΠšΠ’Π ΠžΠœΠ•Π₯ΠΠΠ˜Π§Π•Π‘ΠšΠ˜Π₯ Π‘Π˜Π‘Π’Π•Πœ НА ΠžΠ‘ΠΠžΠ’Π• ΠœΠΠžΠ“ΠžΠ ΠžΠ•Π’ΠžΠ™ БВОΠ₯ΠΠ‘Π’Π˜Π§Π•Π‘ΠšΠžΠ™ ΠœΠ£Π›Π¬Π’Π˜ΠΠ“Π•ΠΠ’ΠΠžΠ™ ΠžΠŸΠ’Π˜ΠœΠ˜Π—ΠΠ¦Π˜Π˜

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    Purpose. Developed the method for solving the problem of multiobjective synthesis of robust control by multimass electromechanical systems based on the construction of the Pareto optimal solutions using multiswarm stochastic multi-agent optimization of particles swarm, which reduces the time of determining the parameters of robust controls multimass electromechanical systems and satisfy a variety of requirements that apply to the work of such systems in different modes. Methodology. Multiobjective synthesis of robust control of multimass electromechanical systems is reduced to the solution of solving the problem of multiobjective optimization. To correct the above problem solving multiobjective optimization in addition to the vector optimization criteria and constraints must also be aware of the binary preference relations of local solutions against each other. The basis for such a formal approach is to build areas of Pareto-optimal solutions. This approach can significantly narrow down the range of possible solutions of the problem of optimal initial multiobjective optimization and, consequently, reduce the complexity of the person making the decision on the selection of a single version of the optimal solution. Results. The results of the synthesis of multi-criteria electromechanical servo system and a comparison of dynamic characteristics, and it is shown that the use of synthesized robust controllers reduced the error guidance working mechanism and reduced the system sensitivity to changes in the control parameters of the object compared to the existing system with standard controls. Originality. For the first time, based on the construction of the Pareto optimal solutions using a multiswarm stochastic multi-agent optimization particle algorithms improved method for solving formulated multiobjective multiextremal nonlinear programming problem with constraints, to which the problem of multiobjective synthesis of robust controls by multimass electromechanical systems that can significantly reduce the time to solve problems and meet a variety of requirements that apply to the multimass electromechanical systems in different modes. Practical value. Practical recommendations on reasonable selection of the target vector of robust control by multimass electromechanical systems. Results of synthesis of electromechanical servo system shown that the use of synthesized robust controllers reduced the error guidance of working mechanism and reduce the system sensitivity to changes of plant parameters compared to a system with standard controls.Π£ΡΠΎΠ²Π΅Ρ€ΡˆΠ΅Π½ΡΡ‚Π²ΠΎΠ²Π°Π½ ΠΌΠ΅Ρ‚ΠΎΠ΄ ΠΌΠ½ΠΎΠ³ΠΎΠΊΡ€ΠΈΡ‚Π΅Ρ€ΠΈΠ°Π»ΡŒΠ½ΠΎΠ³ΠΎ синтСза робастного управлСния многомассовыми элСктромСханичСскими систСмами Π½Π° основС построСния ΠŸΠ°Ρ€Π΅Ρ‚ΠΎ-ΠΎΠΏΡ‚ΠΈΠΌΠ°Π»ΡŒΠ½Ρ‹Ρ… Ρ€Π΅ΡˆΠ΅Π½ΠΈΠΉ ΠΈ с ΡƒΡ‡Π΅Ρ‚ΠΎΠΌ Π±ΠΈΠ½Π°Ρ€Π½Ρ‹Ρ… ΠΎΡ‚Π½ΠΎΡˆΠ΅Π½ΠΈΠΉ прСдпочтСния Π»ΠΎΠΊΠ°Π»ΡŒΠ½Ρ‹Ρ… ΠΊΡ€ΠΈΡ‚Π΅Ρ€ΠΈΠ΅Π² с ΠΏΠΎΠΌΠΎΡ‰ΡŒΡŽ Π°Π»Π³ΠΎΡ€ΠΈΡ‚ΠΌΠΎΠ² ΠΌΠ½ΠΎΠ³ΠΎΡ€ΠΎΠ΅Π²ΠΎΠΉ стохастичСской ΠΌΡƒΠ»ΡŒΡ‚ΠΈΠ°Π³Π΅Π½Ρ‚Π½ΠΎΠΉ ΠΎΠΏΡ‚ΠΈΠΌΠΈΠ·Π°Ρ†ΠΈΠΈ, Ρ‡Ρ‚ΠΎ позволяСт сущСствСнно ΡΠΎΠΊΡ€Π°Ρ‚ΠΈΡ‚ΡŒ врСмя Ρ€Π΅ΡˆΠ΅Π½ΠΈΡ Π·Π°Π΄Π°Ρ‡ΠΈ ΠΈ ΡƒΠ΄ΠΎΠ²Π»Π΅Ρ‚Π²ΠΎΡ€ΠΈΡ‚ΡŒ Ρ€Π°Π·Π½ΠΎΠΎΠ±Ρ€Π°Π·Π½Ρ‹ΠΌ трСбованиям, ΠΊΠΎΡ‚ΠΎΡ€Ρ‹Π΅ ΠΏΡ€Π΅Π΄ΡŠΡΠ²Π»ΡΡŽΡ‚ΡΡ ΠΊ Ρ€Π°Π±ΠΎΡ‚Π΅ систСм Π² Ρ€Π°Π·Π»ΠΈΡ‡Π½Ρ‹Ρ… Ρ€Π΅ΠΆΠΈΠΌΠ°Ρ…. ΠŸΡ€ΠΈΠ²Π΅Π΄Π΅Π½Ρ‹ Ρ€Π΅Π·ΡƒΠ»ΡŒΡ‚Π°Ρ‚Ρ‹ сравнСний динамичСских характСристик элСктромСханичСских систСм с синтСзированными рСгуляторами

    Specific features of magnetic structure formation in orbitally degenerate BiMnO3 manganite

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    The orbital structure and magnetic ordering of the Jahn-Teller multiferroic BiMnO3 manganite have been theoretically studied. It is shown that the orbital structure depends not only on the nearest-neighbor oxygen environment of manganese ions, but also on their next-to-nearest neighbors. The orbital structure significantly influences the magnetic order that forms as a result of competition between ferromagnetic and antiferromagnetic exchange interactions. Β© 2013 Pleiades Publishing, Ltd

    The effectiveness of active shielding of magnetic field with circular spacetime characteristic and with different shielding coils spatial positions

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    Computer simulation and field experimental research results of two degree of freedom robust two circuit system of active shielding of magnetic field, generated by overhead power lines with Β«triangleΒ» type of phase conductors arrangements and with different shielding coils spatial positions are given. The possibility of initial magnetic flux density level reducing and system sensitivity to the plant parameters uncertainty reducing is shown.ΠŸΡ€ΠΈΠ²ΠΎΠ΄ΡΡ‚ΡΡ Ρ€Π΅Π·ΡƒΠ»ΡŒΡ‚Π°Ρ‚Ρ‹ ΠΊΠΎΠΌΠΏΡŒΡŽΡ‚Π΅Ρ€Π½ΠΎΠ³ΠΎ модСлирования ΠΈ ΠΏΠΎΠ»Π΅Π²Ρ‹Ρ… ΡΠΊΡΠΏΠ΅Ρ€ΠΈΠΌΠ΅Π½Ρ‚Π°Π»ΡŒΠ½Ρ‹Ρ… исслСдований ΠΊΠΎΠΌΠ±ΠΈΠ½ΠΈΡ€ΠΎΠ²Π°Π½Π½ΠΎΠΉ робастной Π΄Π²ΡƒΡ…ΠΊΠΎΠ½Ρ‚ΡƒΡ€Π½ΠΎΠΉ систСмы Π°ΠΊΡ‚ΠΈΠ²Π½ΠΎΠ³ΠΎ экранирования ΠΌΠ°Π³Π½ΠΈΡ‚Π½ΠΎΠ³ΠΎ поля, Π³Π΅Π½Π΅Ρ€ΠΈΡ€ΡƒΠ΅ΠΌΠΎΠ³ΠΎ Π²ΠΎΠ·Π΄ΡƒΡˆΠ½ΠΎΠΉ Π»ΠΈΠ½ΠΈΠ΅ΠΉ элСктропСрСдачи с Ρ‚Ρ€Π΅ΡƒΠ³ΠΎΠ»ΡŒΠ½Ρ‹ΠΌ подвСсом ΠΏΡ€ΠΎΠ²ΠΎΠ΄ΠΎΠ², ΠΈ с Ρ€Π°Π·Π»ΠΈΡ‡Π½Ρ‹ΠΌ пространствСнным располоТСниСм ΡΠΊΡ€Π°Π½ΠΈΡ€ΡƒΡŽΡ‰ΠΈΡ… ΠΎΠ±ΠΌΠΎΡ‚ΠΎΠΊ. Показана Π²ΠΎΠ·ΠΌΠΎΠΆΠ½ΠΎΡΡ‚ΡŒ сниТСния уровня ΠΈΠ½Π΄ΡƒΠΊΡ†ΠΈΠΈ исходного ΠΌΠ°Π³Π½ΠΈΡ‚Π½ΠΎΠ³ΠΎ поля Π²Π½ΡƒΡ‚Ρ€ΠΈ экранируСмого пространства ΠΈ сниТСния Ρ‡ΡƒΠ²ΡΡ‚Π²ΠΈΡ‚Π΅Π»ΡŒΠ½ΠΎΡΡ‚ΠΈ систСмы ΠΊ нСопрСдСлСнностям ΠΏΠ°Ρ€Π°ΠΌΠ΅Ρ‚Ρ€ΠΎΠ² ΠΎΠ±ΡŠΠ΅ΠΊΡ‚Π° управлСния
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