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Figure 1 – NSTX Upper Umbrella Assembly Upgrade Design: Version 4
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Figure 2 – Single Segment 3-Strap Assembly Solid Model: Version 4
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Figure 3 – ANSYS Multiphysics Analysis Block Diagram
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Figure 4 – Single Segment 3-Strap Assembly FEA Model: Mesh
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Figure 5 – Single Segment 3-Strap Assembly Electric Model Results: Voltage
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Fig. 6 – Single Segment 3-Strap Assembly Electric Model Results: Current Density
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Figure 7 – Single Segment 3-Strap Assembly Electric Model Results: Joule Heat
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Fig. 8 – Single Segment 3-Strap Assembly Thermal Model Results: Temperature
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Study: Determine Current Best-Practice to Perform Magnetostatic Analysis in ANSYS 12.0 WorkBench
• New SOLID236/237 magnetic analysis elements – Have both Magnetic Vector Potential (MVP) and Line Edge method capability.
Replaces SOLID97 and SOLID117.– Compatible with WB generated Electric, Thermal, and Static Structural analyses
meshes.
• No 3D MVP or Line Edge contact elements– Requires conformal mesh with shared nodes across the joints, which makes
modeling assemblies including frictional and pressure-dependent electric and thermal contact impossible, or
– Non-conformal/ dissimilar mesh, with duplicate nodes across the joint. Magnetic coupling using CPINTF command requires nearly-matched meshing, which is difficult to achieve in a large assembly.
• Above problems are greatly reduced if modeling the air enclosure, and modeling the magnetic coupling across the joints, are not necessary
– May be valid for materials with a relative magnetic permeablity = 1.– Goal: Prove with a comparison study.
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Outer-most Lamination Arch Segment with Air Enclosure: Solid Model
Merged Volumes
B = 1 T
I = 4074 A
Air
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Outer-most Lamination Arch Segment with Air Enclosure: Mesh
Conformal Mesh:
Nodes shared at Interface(perfect magnetic coupling)
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Arch Segment w/ Air Magnetostatic Model Results: Current Density (A/m^2)
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Arch Segment w/ Air Magnetostatic Model Results: Joule Heat
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SOLID236:LINE EDGE METHOD
Arch Segment w/ Air Magnetostatic Model Results: Magnetic Flux (Metal +Air)
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Arch Segment w/ Air Magnetostatic Model Results: Magnetic Flux (Metal Only)
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Arch Segment w/ Air Magnetostatic Model Results: Current Density
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Arch Segment w/ Air Magnetostatic Model Results: Lorentz Forces (N)
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Arch Segment w/ Air Magnetostatic Model Results: Magnetic Flux (Metal Only)
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Arch Segment w/ Air Magnetostatic Model Results: Lorentz Forces (N)
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Arch Segment w/ Air Static Structural Model Results: von Mises Stress (Pa)
SOLID186
Stress and reaction force results closely agree with hand-calculated values.
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SOLID236LINE EDGE METHOD
Arch Segment _No Air - Magnetostatic Model Results: Magnetic Flux (Tesla)
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Arch Segment _No Air - Magnetostatic Model Results: Current Density (A/m^2)
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Arch Segment _No Air - Magnetostatic Model Results: Lorentz forces (N)
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Arch Segment _No Air - Magnetostatic Model Results: Magnetic Flux (Tesla)
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Arch Segment _No Air - Magnetostatic Model Results: Lorentz Forces (N)
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SOLID186
Stress and reaction force results closely agree with hand-calculated values.
Arch Segment _ No Air - Static Structural Model Results: von Mises Stress (Pa)
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Arch _ No Air - Static Structural WB Model Results: von Mises Stress (psi)
Total Reaction Force:
ANSYS = 262.5 lbfMathCAD = 262.6 lbf
Hoop Stress:
ANSYS = 729.9 psiMathCAD = 729.3 psi
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Arch _ No Air_Neg Az - Magnetostatic Model Results: Magnetic Flux (Tesla)
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Arch _ No Air_Neg Az - Magnetostatic Model Results: Lorentz Forces (N)
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Arch _ NoAir_NegAz - Static Structural WB Model Results: von Mises Stress (psi)
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Arch _NoAir_.3Ty+(-1)Tz - Magnetostatic Model Results: Magnetic Flux (Tesla)IsoView
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Arch _NoAir_.3Ty+(-1)Tz - Magnetostatic Model Results: Magnetic Flux (Tesla)Side View
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Arch _NoAir_.3Ty+(-1)Tz - Magnetostatic Model Results: Lorentz Forces (N)
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Arch _NoAir_.3Ty+(-1)Tz – Static Structural Model Results: von Mises Stress (psi)Iso View
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Arch _NoAir_.3Ty+(-1)Tz – Static Structural Model Results: von Mises Stress (psi)Side View
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Conclusions
• SOLID236 results using line edge method closely agree with hand-calculated classic solution values. – SOLID117 results are not valid
• No difference between results with air enclosure modeled and without. – Modeling without air enclosure is valid only for cases where all materials
have a relative magnetic permeability = 1, and where magnetic coupling across the joint is not required (static analysis, no eddy current calculation).
• Unlike MVP method, negative values of Az are allowed– Combined Fields: Az input as a vector with magnitude and direction
• Use WPRO to rotate WP so that Z-direction is aligned with Az direction, then use CSWP to define coordinate system aligned with WP
• Apply Az = resultant, magnitude of vector • Must change to metric units in WB prior to SOLVE so that the
Lorentz forces in newtons from Magnetostatic analysis scale correctly. – Can switch back to english units after solution.
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Single Lamination Bolted Assembly - Magnetostatic Model: Mesh
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Single Lamination_.3Ty+(-1)Tz - Magnetostatic Results: Magnetic Flux (Tesla)
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Single Lamination_.3Ty+(-1)Tz - Magnetostatic Results: Current Density (A/m^2)
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Single Lamination_.3Ty+(-1)Tz - Magnetostatic Results: Lorentz Forces (N)
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Single Lamination_.3Ty+(-1)Tz - Magnetostatic Results: Magnetic Flux (Tesla)
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Single Lamination_.3Ty+(-1)Tz - Magnetostatic Results: Current Density (A/m^2)
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Single Lamination_.3Ty+(-1)Tz - Magnetostatic Results: Lorentz Forces (N)
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