DSVM41

Brooks Coil with Winding for Periodic Symmetry

Overview

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Reference:W. Boast, Principles of Electric and Magnetic Fields, 1948 Harpers Brothers, Page 242, Equation 12.05.
Analysis Type(s):Electromagnetic Analysis
Element Type(s):Solid

Test Case

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The winding body is enclosed in an Air Body. The radius of Coil is 30 mm and cross section is 20 mm X 20 mm. The number of turns is 200 and current is 0.5 A. "Flux Parallel" is applied on all the 7 outer surfaces. Periodic Symmetry is applied on two faces. The dimensions of the air body are such that it encloses the coil. Find the Total Flux Density and also in all Directions.

Figure 41.1  Dimensions of Body

Figure 41.2  Schematic Diagram

Material Properties
 Young's Modulus (Pa)Poisson's RatioDensity (kg/m3)Relative PermeabilityElectric Resistivity (ohm-m)
DSVM41_MAT1 (Emag Part)1e7 0010
DSVM41_MAT2 (Winding Body)1.1e110.34830012e-7

Analysis

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where:

N = number of turns (1)
I = current per turn (100)
mu = (4 x π x 10-7)
S = width of coil (20e-3m)
R = radius to midspan of coil (3*S/2)

Results Comparison

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ResultsTargetDSError (%)
Total Flux Density (T)1.99e-31.9788e-3-0.563
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