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    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

    Energy of eigen-modes in magnetohydrodynamic flows of ideal fluids

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    Analytical expression for energy of eigen-modes in magnetohydrodynamic flows of ideal fluids is obtained. It is shown that the energy of unstable modes is zero, while the energy of stable oscillatory modes (waves) can assume both positive and negative values. Negative energy waves always correspond to non-symmetric eigen-modes -- modes that have a component of wave-vector along the equilibrium velocity. These results suggest that all non-symmetric instabilities in ideal MHD systems with flows are associated with coupling of positive and negative energy waves. As an example the energy of eigen-modes is calculated for incompressible conducting fluid rotating in axial magnetic field.Comment: 10 pages, 3 figure

    The Layout of the photon collider at the ILC

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    One of the interaction regions at the linear colliders should be compatible both with e+e- and gamma-gamma, gamma-electron modes of operation. In this paper, the differences in requirements and possible design solutions are discussed.Comment: Talk at LCWS06, Bangalore, India, March 2006, to be published in Indian Journal of Physics; 3pp, Latex, 1 .eps figur

    Search for Tracker Potentials in Quintessence Theory

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    We report a significant finding in Quintessence theory that the the scalar fields with tracker potentials have a model-independent scaling behaviour in the expanding universe. So far widely discussed exponential,power law or hyperbolic potentials can simply mimic the tracking behaviour over a limited range of redshift. In the small redshift range where the variation of the tracking parameter Ο΅\epsilon may be taken to be negligible, the differential equation of generic potentials leads to hyperbolic sine and hyperbolic cosine potentials which may approximate tracker field in the present day universe. We have plotted the variation of tracker potential and the equation of state of the tracker field as function of the redshift zz for the model-independent relation derived from tracker field theory; we have also plotted the variation of V(Ξ¦)V(\Phi) in terms of the scalar field Ξ¦\Phi for the chosen hyperbolic cosine function and have compared with the curves obtained by reconstruction of V(Ο•)V(\phi) from the real observational data from the supernovae.Comment: 11 pages, 3 figures, late

    The bifurcation phenomena in the resistive state of the narrow superconducting channels

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    We have investigated the properties of the resistive state of the narrow superconducting channel of the length L/\xi=10.88 on the basis of the time-dependent Ginzburg-Landau model. We have demonstrated that the bifurcation points of the time-dependent Ginzburg-Landau equations cause a number of singularities of the current-voltage characteristic of the channel. We have analytically estimated the averaged voltage and the period of the oscillating solution for the relatively small currents. We have also found the range of currents where the system possesses the chaotic behavior

    Propagation of an Acoustic Pulse of Finite Amplitude in a Granular Medium

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    A study of propagation of a wide-band acoustic signal in a granular medium is reported. Experimental data on the propagation of pulses with an amplitude up to 3 MPa and characteristic length about 1 Β΅s through a sample of cobalt-manganese nodules are compared with a computer model of the process. An anomalous sig'rfal absorption in the high-frequency range observed with relatively weak sounding pulses is explained under the assumption of a fractal sample structure on a certain scale. When the signal amplitude increases, the ahsorption assumes a normal power form which is evidence of substance structural changes
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