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4hv.org :: Forums :: High Voltage
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Calculating Field Intensity at Edges of Cap Plates.

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2Spoons
Tue Jul 19 2011, 11:06PM
2Spoons Registered Member #2939 Joined: Fri Jun 25 2010, 04:25AM
Location:
Posts: 615
And here's a pretty picture. The mesh should probably be finer for a better result.
1311116781 2939 FT120274 Field
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Proud Mary
Tue Jul 19 2011, 11:18PM
Proud Mary Registered Member #543 Joined: Tue Feb 20 2007, 04:26PM
Location: UK
Posts: 4992
This one's a real cracker, Patrick, and tells you everything you wanted to know about edge-effect, but were afraid to ask:

S. Catalan-Izquierdo, Jose-M. Bueno-Barrachina, César-S. Cañas-Peñuelas, Francisco Cavallé-Sesé CAPACITANCE EVALUATION ON PARALLEL-PLATE CAPACITORS BY MEANS OF FINITE ELEMENT ANALYSIS International Conference on Renewable Energies and Power Quality (ICREPQ’09) Valencia (Spain), 15th to 17th April, 2009

See Fig. 5 here:

Link2

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Patrick
Tue Jul 19 2011, 11:45PM
Patrick Registered Member #2431 Joined: Tue Oct 13 2009, 09:47PM
Location: Chico, CA. USA
Posts: 5639
2Spoons wrote ...

Ran the sim - peak E field is ~2e9 volts/m. Did I get your units wrong in the dxf? I used mm. Switched to inches and got a field peak of 9e7 V/m.
I always use inches.

2Spoons wrote ...

And here's a pretty picture. The mesh should probably be finer for a better result.
1311116781 2939 FT120274 Field

i left one side radiused, and the other at a right angle to see the difference in field intensity.



UPDATE:


pics
1311125342 2431 FT1630 Femm1
Voltage plot. (right side has rounded edges) Upper magenta is 14kV, lower cyan is 0 volts, midpoint of gap is yellow 7 kV as would be expected.


1311125342 2431 FT1630 Femm2
Field density plot, V/m. Left side, right angled edges W/ equipotential lines.


1311125342 2431 FT1630 Femm3
Density plot, Rounded edges, without equipotential lines.


1311125342 2431 FT1630 Femm4
Density plot, Rounded edges, with equipotential lines.



1311125342 2431 FT1630 Femm5
Round edges, Density plot, zoomed in.


1311125342 2431 FT1630 Femm6
Square left end, voltage plot.


1311125342 2431 FT1630 Femm7
Horizontal top plate should be 14kV, lower plate 0V, two circles at right and left should be 7kV, DXF is in inches. I cant figure out how to work this dam software!

]platefemm.zip[/file]( DXF file for FEMM4.2)
(newest)
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jpsmith123
Wed Jul 20 2011, 02:35AM
jpsmith123 Registered Member #1321 Joined: Sat Feb 16 2008, 03:22AM
Location:
Posts: 843
I think if you have a perfectly square edge, you'll have a singularity - meaning that the more refined your mesh is, in the vicinity of the edge, the higher the field will be.
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Patrick
Wed Jul 20 2011, 02:40AM
Patrick Registered Member #2431 Joined: Tue Oct 13 2009, 09:47PM
Location: Chico, CA. USA
Posts: 5639
that newest dxf is the most curretn file i need simulated.
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2Spoons
Wed Jul 20 2011, 04:00AM
2Spoons Registered Member #2939 Joined: Fri Jun 25 2010, 04:25AM
Location:
Posts: 615
Because I'm feeling generous, and because this is way more interesting than generating part numbers for work, here is your dxf turned into a FEMM file ready to simulate. I've found you can define the insides of the conductors as <no mesh>, which saves a bit of compute time. I've added a 7000V conductor (Properties menu- Conductors - Add) and assigned it to the two 'resistor bodies'. (choose 'arcs' button , right click next to the arc of interest, click properties button - the box with a hand on it - select "7k" from the drop down box labelled "in conductor"). I've also refined the mesh in some places by unchecking " choose mesh automatically" and changing the value in the "local segment size " box.

Persevere, look at what I've done, and you'll get the hang of this rather powerful bit of freeware.
]cplates2.zip[/file]
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Mattski
Wed Jul 20 2011, 04:03AM
Mattski Registered Member #1792 Joined: Fri Oct 31 2008, 08:12PM
Location: University of California
Posts: 527
FlexPDE has a student version, I used it a while ago in a class. Link2

I haven't used it in quite a while but as I recall the help files had some tutorials and example problems in EM simulation which will get you to simulating a capacitor pretty easily.
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Patrick
Wed Jul 20 2011, 05:49AM
Patrick Registered Member #2431 Joined: Tue Oct 13 2009, 09:47PM
Location: Chico, CA. USA
Posts: 5639
2Spoons wrote ...

Because I'm feeling generous, and because this is way more interesting than generating part numbers for work, here is your dxf turned into a FEMM file ready to simulate. I've found you can define the insides of the conductors as <no mesh>, which saves a bit of compute time. I've added a 7000V conductor (Properties menu- Conductors - Add) and assigned it to the two 'resistor bodies'. (choose 'arcs' button , right click next to the arc of interest, click properties button - the box with a hand on it - select "7k" from the drop down box labelled "in conductor"). I've also refined the mesh in some places by unchecking " choose mesh automatically" and changing the value in the "local segment size " box.

Persevere, look at what I've done, and you'll get the hang of this rather powerful bit of freeware.

TY, i really needed you to list the steps i need to do something useful so thanks youve helped a lot.

Im trying to change the upper horizontal plate to 14kV, right now there both at 0 volts!
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2Spoons
Wed Jul 20 2011, 05:52AM
2Spoons Registered Member #2939 Joined: Fri Jun 25 2010, 04:25AM
Location:
Posts: 615
You're welcome.
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Patrick
Wed Jul 20 2011, 05:58AM
Patrick Registered Member #2431 Joined: Tue Oct 13 2009, 09:47PM
Location: Chico, CA. USA
Posts: 5639
Im trying to change the upper horizontal plate to 14kV, right now there both at 0 volts!
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