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Ansys电磁分析官方培训教材


Chapter 4
Section 4

Three Dimensional Electromagnetic Simulation

3D Bar in an AC Field - Application
? Problem Description – 1/8 th symmetric – Outer circular

conductor is a massive conductorcurrent fed – Inner bar is permeable/conductive Analysis objective – Apply the conditions – Perform simulation – Post process ? Calculate power loss ? Show radial power distribution

?

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

4.4-2

?

? ?

Physics Regions – Outer conductor ? μr = 1 ? ρ=.1714E-7 Ω-m – Inner conductor ? μr = 50 ? ρ=1 E-7 Ω-m – Air ? Free space: μr = 1 Excitation: 10,000 A (peak) @ 1,000 Hz Planes of Symmetry – X-Y plane-flux normal – X-Z plane-flux parallel – Y-Z plane-flux parallel

Outer conductor

Inner Conductor

Units: mm
January 30, 1999 ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172) 4.4-3

? To build the model, enter at the command line ac3d ? Model Information – Element types: Edge element Formulation, solid117 ? Conductors- AZ,VOLT dof ? Air-AZ dof – Exciting conductor: conductor is modeled explicitly ? Total current is applied to a Single node at the cross section – Element components: ? Inner conductor: BAR ? Outer conductor: ELEMENT
ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

January 30, 1999

4.4-4

?

The mesh is refined near the BAR outer radius to accommodate the skin effect(two elements in the skin depth (δ)

View of Edge of the BAR

δ = (π μ σ f) -1/2 (m) where μ = permeability = μr μ0 50*1.256E-6 σ = electrical conductivity = 1 / ρ ρ = electrical resistively (Ohm-m) =1E-7 f = frequency of field (Hz)=1000 δ = .77 mm

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

4.4-5

Inner Radius of the Outer Conductor
? The inner radius of the outer conductor is also refined for the skin effect

δ = (π μ σ f) -1/2
where 1.256E-6

(m)

μ = permeability = μr μ0 σ = electrical conductivity = 1 /ρ = 5.83E-8 f = frequency of field (Hz)=1000
ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

δ=2.1 mm
January 30, 1999

4.4-6

? ?

Apply the VOLT constraint at the planes of symmetry for the inner conductor Apply the VOLT constraint Solu>apply>-electric-boundary>on areas

? Select OK
Select the areas at the end of the inner bar at the planes of symmetry

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

4.4-7

?

For the outer conductor at the planes of symmetry: – Apply VOLT coupling at one of the symmetry planes – Apply the amperage at one of the nodes on the plane where coupling was applied – Apply VOLT constraint at all nodes on the opposite plane of symmetry (for the conductor nodes only)

Outer Conductor is energized with 10,000 Amps (peak) @ 1,000 Hz

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

4.4-8

?

Apply VOLT coupling at the plane of symmetry – Select the nodes at the plane of symmetry which are attached to the outer conductor – Generate coupling Preproc>couplin/ceqn>couple dof> Pick All
Make sure this number is unique

? Select OK

Nodes in the Y-Z plane of symmetry for the outer conductor

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

4.4-9

? With the node plot displayed, apply the amperage to a keypoint Preproc>loads>apply>-electric-excitation>impressed currentson keypoints

? Select OK
Select a location of any corner node - this will corresponds to a key point

Symbol for the current

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

4.4-10

?

Apply the VOLT constraint to the nodes on the outer conductor at the other plane of symmetry Solu>apply>-electric-boundary>on areas

? Select OK

Select the area at the end of the outer bar at the Y=0 plane of symmetry

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

4.4-11

?

?

?

Flux parallel condition: – Y-Z plane (X=0) – X-Z plane (Y=0) At the end of the model (maximum Z location)-add flux parallel condition to act as a remote boundary condition. Apply the condition to the areas – make the entire model active – select the exterior areas – un-select the areas at Z=0

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

4.4-12

?

Apply the flux parallel condition Preproc>loads>apply>magnetic-boundary>-flux par’l-on areas

? ?

Pick all The flux normal condition at Z=0 is a natural boundary condition for the Edge formulation-no action is required at the boundary
Constraints on AZ to enforce flux parallel condition (typical)

Exclusion of the areas at Z=0 of the exterior areas
4.4-13

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

?

Perform simulation Solu>new analysis [HARMONIC] Set the frequency to 1,000 Hz Solu>time/frequenc>freq&substps

?

? Select OK

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

4.4-14

? Make sure the entire model is active Utility>select>everything ? Select the solver for AC simulation Solu>analysis options

? Select OK ? Initiate the simulation Solu>current LS ? Select OK

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

4.4-15

? ? ?

Read the imaginary set of results Postproc>by load step [select the imaginary] Select OK The current density in the bars can be observed using a predefined vector plot Postproc>plot results>-vector plots-predefined

Allows the vectors to be appropriately scaled on the geometry

? Select OK
January 30, 1999 ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172) 4.4-16

?

A close up view of the currents in the bars for the imaginary solution

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

4.4-17

? Post process the power loss in the inner bar (material 2) ? Select the inner conductor (the BAR component) Postproc>elec&mag calc>power

? ?

Post process the power loss in the inner bar (material 2) Select the inner conductor (the BAR component) Postproc>elec&mag calc>power

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

4.4-18

? ? ?

Plot the power loss density element item (PLOSSD) Add the BAR components to the active elements Plot the PLOSSD element item Postproc>plot results>

? Select OK

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

4.4-19

? ? ?

To observe the penetration of the power loss, the power loss can be mapped onto a path and displayed Select the nodes attached to the BAR component Define a path at the edge of the bar at the plane of symmetry Postproc>path operations>define path>by nodes Select a node at each corner of the BAR

? Select OK
January 30, 1999 ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172) 4.4-20

? Map the PLOSSD element item onto the path Postproc>path operations>map onto path

? Select OK

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

4.4-21

? Plot the POWER path item Postproc>path operations>-plot path item-on graph

? Select OK

Axis, grid, curve were modified by Utility>plotctrls>style>graph

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

4.4-22

? This can also be plotted on the geometry – Select the BAR component & plot the elements – Enter /noerase in the command window – Plot the POWER path item Postproc>path operations-plot path item-on geometry

Allows the graph to be scaled to better fit onto the plot

? Select OK
January 30, 1999 ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172) 4.4-23

?

The POWER path item plotted on the geometry (BAR)

? To allow the plots to be erased Utility>plotctrls>erase options>erase between plots
January 30, 1999 ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172) 4.4-24


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