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Unformatted text preview: Magnetic Field
Reference: C. R. I. Emson, “Results for a Hollow Sphere in a Uniform Field (Benchmark
Problem 6)”, COMPEL, Vol. 7 Nos. 1 & 2, 1988, pp. 89-101. Analysis Type(s): Full Harmonic Response Analysis (ANTYPE = 3) Element Type(s): 3-D Magnetic Solid Elements (SOLID97)
3-D Magnetic Scalar Solid Elements (SOLID96)
3-D Magnetic Interface Elements (INTER115) Input Listing: vm189.dat Test Case
A hollow aluminum sphere is subjected to a uniform sinusoidally varying magnetic field. Determine the peak
flux density at the center of the sphere and the average power loss within the sphere. ANSYS Verification Manual . ANSYS Release 9.0 . 002114 . © SAS IP, Inc. 1–427 VM189 Figure 189.1 Hollow Sphere Problem Sketch Material Properties
µr = 1 (aluminum)
ρ = 2 x 10-9 ohm-m Geometric Properties
ri = .05 m
ro = .055 m Loading
B = B(y) = Bocos ωt
Bo = 1 T
ω = 50 Hz Analysis Assumptions and Modeling Notes
The problem is symmetric such that an arbitrary circumferential slice (Φ-direction) can be chosen along with a
half-symmetry slice about the Y axis. A circumferential slice of Φ = 20 degrees is arbitrarily selected.
A rectangular exterior boundary is located at a distance of 0.6 m where the external field load is applied. To
maximize efficiency, the model is divided into two regions. Region 1 is the hollow aluminum sphere which is
modeled with the vector potential formulation using the SOLID97 element. Reg...
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This note was uploaded on 12/09/2010 for the course DEPARTMENT E301 taught by Professor Kulasinghe during the Spring '09 term at University of Peradeniya.
- Spring '09
- The Land