Keywords
representative volume element
unit cell
multiphysics modeling
electrical devices
biological and nano-sized systems
action of electromagnetic field многомасштабное моделирование
представительный элемент
элементарная ячейка
мультифизическое моделирование
электротехнические устройства
биологические и наноразмерные системы
воздействие электромагнитного поля
How to Cite
Abstract
The article is a review of research works devoted to compeer multi-scale modeling in the field of electrical engineering. The method of multi-scale modeling is described. The ways of its realization are explained. A number of the most typical classes of problems for using the method are presented. Among the problems are numerical investigation of electric field mid compilation of effective characteristics for composite dielectric materials; investigation of electromagnetic processes and determination of parameters for power transformers at high frequency; study of electromagnetic and thermal processes for induction heating installations; analysis of processes under the action of external electromagnetic field for biological and nano-sized systems. The advantages mid some difficulties in the utilization of the method of multi-scale modeling me noted. References 35, figures 6.
References
The First All-Russian Conference "Multi-scale modeling of processes and structures in nanotechnology" / Sbornik tezisov dokladov MMPSN-2008. - Moskva: Moskovskii inzhenerno-fiziclieskii institute,2008. - 352 p. (Rus.)
The Second All-Russian Conference "Multi-scale modeling of processes and structures in nanotechnology" / Sbornik tezisov dokladov MMPSN-2009. - Moskva: Moskovskii inzhenerno-fizicheskii institute, 2009. - 492 p. (Rus.)
Kirilenko А.V., Chekhun V.F., Podoltsev A.D., Kondratenko I.P., Kucheriavaia I.N., Bondar V.V., Shpilevaia S.I., Todor I.N. Investigation of force action of high-gradient magnetic field on magnetic nanoparticles in flowing liquid /. Dopovidi Natsionalnoi Academii Nauk Ukrainy. - 2010. - № 9. - P. 162-172. (Rus.)
Kucheriavaia I.N. Eddy current and losses in round solid conductors taking into account their interaction and effect of transverse magnetic field // Elektrotekhnika і elektroenergetika. - 2000. - № 2. - P. 68-72. (Rus.)
Podoltsev A.D., Kucheriavaia I.N. Computer investigation of external alternating electric field in human body // Elektronnoe modelirovanie. - 2009. - Vol. 31. - № 3. - P. 91-109. (Rus.)
Podoltsev A.D., Kucheriavaia I.N. Computer modeling of electromagnetic and thermal processes in induction heating installation at two space levels // Elektronnoe modelirovanie. - 2007. - Vol. 29. - № 2.- P. 85-99. (Rus.)
Podoltsev A.D., Kucheriavaia I.N. Application of multi-level modeling for investigation of electromagnetic and thermal processes m induction heating installation // Tekhnichna elektrodynannka. Tematyvhnyi vypusk "Problemy suchasnoi elektrotekhniky". - 2006. - Part 3. - P. 17-20. (Rus.)
Podoltsev A.D., Kucheriavaia I.N. Computation of eddy current and losses in the system of solid conductors with regards for proximity effect and external magnetic field // Tekhnichna elektrodynamika. - 2001. - № 1. - P. 11-16. (Rus.)
Podoltsev A.D., Kucheriavaia I.N. The elements of theory7 and numerical simulation of electromagnetic proc¬esses in conducting media. - Kyiv: Izdatelstvo Institute Elektrodinamiki NAN Ukrainy, 1999. -363 p. (Rus.)
ANSYS Multiphysics Simulation - http://www.ansys.com/
Antropov V.P., Belashchenko K.D. Multiscale modeling of hysteretic phenomena in magnets (invited) // Journal of Applied Physics.- 2003. -№ 10. –Vol. 93. -P. 6438-6443.
Chitarin G., Guarnieri M, Stella A. Transient behavior of thick-walled axisymmetric windings: a lumped parameters approach. ШЕЕ Trans, on Magnetics. - 1988. -№ l.-Vol. 24.-P. 205-208.
Chrisropoulos C. Multi-Scale modelling in time-domain electromagnetics // International Journal of Electronics and Communications. - 2003. - № 2. – Vol. 57. - P. 100-110.
Chrisropoulos C., Sewell P., Biwojno K., Wykes J., Paul J.D., Thomas D.W.P., Ajayi A., de Menezes L. Multi-scale problems and complexity in computational electromagnetics // Computational Electromagnetics Workshop. -2007.- P. 44-48.
COMSOL Multiphysics Modeling and Simulation Software - http://www.cansol.com/ '
E.W., Engquist B. Multiscale modeling and computations // Notices of the AMS. - Vol. 50. -.№ 9. - 2003. -P. 1062-1070.
E.W., Engquist B. The heterogeneous multiscale methods // Comp Math. Sci. - Vol. 1. - № 1. - 2002. - P. 87-132.
E.W., Engquist B., Li X., Ren W., Vanden-Eijnden. The heterogeneous multiscale method: a review. - 2005. - http://www.math.princeton.edu/multiscale.
Ghoniem N.M., Busso E.P, Kioussis N., Huang H. Multiscale modeling of nanomechanics and micromechanics: an overview // Philosophical Magazine. - Nov.-Dec. 2003. - Vol. 83. -№ 31-34. - P. 3475-3528.
International Journal for Multiscale Computational Engineering - http://www.begellhouse.com/journals/'61fd1b191cf7e96f/1b4adbb73e2792e0.html
Jourdan T., Marty A., Lancon F. Multiscale method for Heisenberg spin simulations // Phys. Rev. B. - Vol. 77, 224428. - 2008. - P. 1-10.
Journal of Multiscale Modeling (JMM) - http://www.worldscinet.com/jmm.html
Kwon Y.W.., Allen D.H., Talreja R.R. Multiscale modeling and simulation of composite materials and structures. - Springer Publisher, 2008. - 630 p.
Lee J.K., Chung Y.K., Kwak H.R., Park I.H Local electric field analysis for evaluation of charge transfer system using sequential subwindow technique // ШЕЕ Trans. on Magnetics. - March 2004. - Vol. 40. - № 2. - P. 679-682.
Liu W.K, Karpov E.G., Park H.S. Nano mechanics and materials: theory, multiscale methods and applications. - John Wiley & Sons Publisher, 2006. - 320 p.
Lu G., Kaxiras E. Overview of multiscale simulations of materials // Handbook of Theoretical and Computational Nanotechnology. – Ed. by M. Rieth and W. Schommers. - Vol. X - P. 1-33.
Multiscale modeling and simulation in science. (Series: Lecture Notes in Computational Science and Engineering. Vol. 66) - Ed. by Engquist B.; Lötstedt P.; Runborg O. - Springer Publisher, 2009. - 320 p.
Multiscale modeling of polymer properties (Series: Computer-aided chemical engineering; 22) / Ed. by M. Laso and E.A. Perpete. - Amsterdam: Oxford: Elsevier. 2006. - 424 p.
Podoltsev A.D., Kucheryavaya I.N., Lebedev B.B. Analysis of effective resistance and eddy-current losses in mulh-tum winding of high-frequency magnetic components // IEЕЕ Trans. on Magnetics. - 2003. - Vol. 39 - № 1. - P. 539-548.
Podoltsev A.D., Nilanga K.G., Serdyuk Yu.V., Gubanski S.M. Multiscale computations of parameters of power transformer windings at high frequencies. Part 1: small-scale level // IEЕЕ Trans. on Magnetics. – November, 2007. - № 11. – Vol. 43. - P. 3991-3998; Part II: large-scale level // IEEE Trans. on Magnetics. - December. 2007. - № 12. - Vol. 43. - P. 4076-4082.
Serdyuk Yu.V., Podoltsev A.D., Gubanski S.V. Numerical simulations and experimental study of frequency-dependent dielectric properties of composite material with stochastic structure // IEEE Trans. on Dielectrics and Electrical Insulation. – June, 2004. - № 3. – Vol. 11. - P. 379-392.
Serdyuk YU.V., Podoltsev A.D., Gubanski S.V. Numerical simulations of dielectric properties of composite material with periodic structure // Journal of Electrostatics. - Vol. 6. № 11. - P. 1073-1091.
Tang S., Hou T.Y., Liu W.K. A mathematical framework of the bridging scale method // International Journal for Numerical Methods m Engineering. - 2006. - Vol. 63. - P. 1688-1713.
Vvedensky D.D. Multiscale modeling of nanostructures. Topical review // Journal of Physics: Condensed Matter. - 2004. -Vol. l6. - № 50. - P. R1537-R1576.
Wagner G.J., Liu W.K. Coupling of atomistic and continuum simulations using a bridging scale decomposition // Journal of Computational Physics. - 2003. - Vol. 190. - P. 249-274.
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