scholarly journals SIMPLIFIED MATHEMATICAL MODEL OF THREE-DIMENSIONAL ELECTROMAGNETIC FIELD OF ARBITRARY CURRENT SYSTEM NEAR CONDUCTING BODY

2020 ◽  
Vol 2020 (3) ◽  
pp. 3-8
Author(s):  
Yu. М. Vasetsky ◽  
Keyword(s):  
Mathematical Model ◽  
Electromagnetic Field ◽  
Current System ◽  
Three Dimensional ◽  
Conducting Body ◽  
Simplified Mathematical Model

scholarly journals Shubnikov–de Haas Oscillations in Semiconductors at the Microwave-Radiation Absorption

2019 ◽  
Vol 2019 ◽  
pp. 1-5
Author(s):  
G. Gulyamov ◽  
U. I. Erkaboev ◽  
A. G. Gulyamov
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Electromagnetic Field ◽  
Microwave Radiation ◽  
Three Dimensional ◽  
Radiation Absorption ◽  
Narrow Gap ◽  
Proposed Model ◽  
Different Temperatures ◽  
Shubnikov De Haas Oscillations

Mathematical models for the Shubnikov-de Haas oscillations in semiconductors are obtained at the microwave-radiation absorption and its temperature dependence. Three-dimensional image of microwave magnetoabsorption oscillations in narrow-gap semiconductors is established. Using a mathematical model, the oscillations of the microwave magnetoabsorption are considered for different values of the electromagnetic field. The results of calculations are compared with experimental data. The proposed model explains the experimental results in HgSe at different temperatures.

Procedures for the Verification and Validation of Working Models for Structural Shells

2005 ◽  
Vol 72 (6) ◽  
pp. 907-915 ◽  
Author(s):  
Barna A. Szabo ◽  
Daniel E. Muntges
Keyword(s):  
Mathematical Model ◽  
Practical Problem ◽  
Expert Knowledge ◽  
Displacement Vector ◽  
Three Dimensional ◽  
Verification And Validation ◽  
Working Models ◽  
Solid Bodies ◽  
Simplified Mathematical Model ◽  
Transverse Variation

Shell-like structures are viewed as fully three-dimensional solid bodies that allow the imposition of restrictions on the transverse variation of displacement vector components in certain regions. An important practical problem is to select a simplified mathematical model for a particular application so that the simplifications do not affect the data of interest significantly. This involves application of expert knowledge aided by virtual and∕or physical experimentation. An example is presented.

Analysis of Two-Dimensional and Three-Dimensional Simulation of the Disc Eddy Current Braking Device

2012 ◽  
Vol 516-517 ◽  
pp. 553-557
Author(s):  
Zhi Ding Ying ◽  
Yu Long Fang ◽  
Xin Fu Xu ◽  
Wei Sun ◽  
Yang Chu
Keyword(s):  
Mathematical Model ◽  
Electromagnetic Field ◽  
Field Distribution ◽  
Eddy Current ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Electromagnetic Field Distribution ◽  
Braking Torque ◽  
Dimensional Simulation

To analyze the variation of electromagnetic field distribution, a mathematical model of the eddy current brake (ECB) is established and the two-dimensional simulation and three-dimensional simulation are comparatively analyzed. Then the curves of the braking torque of the ECB at different speeds are obtained by the simulations. The characteristics of two-dimensional and three-dimensional simulation of the electromagnetic field of the ECB are summarized by contrasted comparative curves between simulation date and test date. The analysis is helpful to optimizing the application of electromagnetism by using software.

scholarly journals EXACT ANALYTICAL AND APPROXIMATE ASYMPTOTIC CALCULATION METHODS TO DETERMINE THREE-DIMENSIONAL ELECTROMAGNETIC FIELD NEAR CONDUCTING BODY WITH FLAT SURFACE

2021 ◽  
Vol 2021 (4) ◽  
pp. 3-13
Author(s):  
Yu.M. Vasetsky ◽  
Keyword(s):  
Electromagnetic Field ◽  
Approximate Solution ◽  
Flat Surface ◽  
Three Dimensional ◽  
Initial Time ◽  
Time Interval ◽  
Field Problem ◽  
Pulsed Field ◽  
Conducting Body ◽  
Sinusoidal Field

The analytical solution of the three-dimensional quasi-stationary electromagnetic field problem for a current located near conducting body with a flat surface is considered. The exact and approximate solution of the problem is presented. The exact solution has no restrictions on the external field configuration, physical properties of the medium, and frequency. The approximate solution is based on an expansion in asymptotic series and has limitations: for sinusoidal field, the solution is limited to frequencies above the lower limit; for pulsed field, the solution is limited by the initial time interval of the current pulse. Based on comparison of the results of exact and approximate calculations for nonuniform sinusoidal field at the interface between the media, the admissible value of the introduced small parameter is determined. For pulsed field the proposed choice of the limited time interval for calculating electomagnetic field using the asymptotic method is justified. References 29, figures 7.

scholarly journals GEODYNAMICS

GEODYNAMICS ◽  
2011 ◽  
Vol 2(11)2011 (2(11)) ◽  
pp. 84-85
Author(s):  
L. M. Zhuravchak ◽  
◽  
Yu. O. Fedoryshyn ◽  
Keyword(s):  
Mathematical Model ◽  
Electromagnetic Field ◽  
Boundary Element Method ◽  
Boundary Element ◽  
Numerical Algorithm ◽  
Numerical Experiments ◽  
Three Dimensional ◽  
Steady Oscillations ◽  
Dimensional Object ◽  
The Mathematical Model

The mathematical model for steady oscillations of electromagnetic field in the three-dimensional object is built. For calculating of the distribution of the electromagnetic field the numerical algorithm based on the boundary element method is developed. Numerical experiments are performed.

scholarly journals The Mathematical Model of Coupling Calculation the Electromagnetic Field and Heats of End Zone Powerful Turbogenerator

2019 ◽  
Vol 62 (1) ◽  
pp. 37-46 ◽  
Author(s):  
O. H. Kensytskyi ◽  
D. I. Hvalin ◽  
K. O. Kobzar
Keyword(s):  
Mathematical Model ◽  
Electromagnetic Field ◽  
Reactive Power ◽  
Three Dimensional ◽  
Central Zone ◽  
Shielding Effect ◽  
Design Stage ◽  
Maximum Temperature ◽  
Two Dimensional ◽  
Stator Core

A quasi-three-dimensional field mathematical model of the electromagnetic field and heat transfer processes in end zone of a powerful turbogenerator has been developed. A model is the intermediate version between two-dimensional and three-dimensional solutions and is based on the numeral calculations in transversal and longitudinal sections of turbogenerator, interconnected by a complex of boundary conditions. On the first stage, a two-dimensional field model of the electromagnetic field in transversal section of central zone of a turbogenerator is considered. Then, taking into account the field distribution in central part, the magnetic field in longitudinal section is simulated. In response to the symmetry of the machine along axial and radial directions, the calculation area of end zone is considered as a half of the rotor section along its axis and the section of the stator core tooth in the tangential direction (circumferentially). Having taken the distribution of electromagnetic parameters obtained in the load mode of the machine as the initial data, the thermal losses in the elements and nodes of the end zone are determined. As a result of solving the joint problem of calculating the electromagnetic field and heat exchange processes, the distribution of heating has been obtained not only on the surface, but also inside the structural parts of the end zone. In particular, it has been found that the maximum temperature of 97.3 °C takes place in the tooth area of the end package of the stator core. This is explained by the combined effect of the main radial field, the axial leakage flux of the frontal portions of the stator and rotor windings, as well as by the “buckling” of a portion of the main flux out of the air gap. In addition, the pressure plate shielding effect is the cause of local field concentration in the toothed zone of the end package. The presented model makes it possible as early as at the design stage to evaluate the efficiency of design solutions for the formation of the end zone of the turbogenerator stator for different load modes of the machine, including the modes of consumption of reactive power.

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