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4hv.org :: Forums :: High Voltage
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E Field calculations for VDG top terminal

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Russ Edmonds
Sun May 31 2015, 10:48PM
Russ Edmonds Registered Member #46264 Joined: Sun May 11 2014, 05:27PM
Location: Tucson, Arizona USA
Posts: 61
Finn, your design sounds close to a half torus on the bottom is that right? The half torus bottom is a shape I want to evaluate. Do you have any observations about were the corona appears on the terminal in the dark?

Thanks
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Finn Hammer
Mon Jun 01 2015, 06:48AM
Finn Hammer Registered Member #205 Joined: Sat Feb 18 2006, 11:59AM
Location: Skørping, Denmark
Posts: 741
Russ,

Yes, a half torus at the bottom.

There is hardly any visible corona, except on small imperfections on the surface, like scratches and such. But even the smallest speck of dust renders the sphere lossy, with audible and visible corona leakage as a result. Heep the terminal clean and free from specks, and it delivers the advertized stand off voltage.
I once calculated it with Antonios software, probably INCA, you can get it here:
Link2
but it is probably around 250kV

Cheers, Finn Hammer
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omegalabs
Mon Jun 01 2015, 11:08AM
omegalabs Registered Member #1521 Joined: Thu Jun 05 2008, 10:46AM
Location: Hungary
Posts: 128
Russ Edmonds wrote ...

omegalabs wrote:
I'm going to build a big VDG some day and will use a big topload like this.

I can't see the picture of this.

omegalabs wrote:
The best (and probably the biggest) topload can be made with 4 half spheres and a plate in this style: Link

This design is great for high current but has some sharp edges limiting the voltage. Currently my E field program can not model this shape because it has no vertical axis of symmetry.

These edges face directly at a same potential, so there is no charge loss. High current can be only archieved with the belt and charging system, not with the topload.
You need to model only a sphere, as the biggest field intensity will be at the sides, where the half spheres are (if the underside is well shaped with flanges, like in the wiki picture).
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Antonio
Mon Jun 01 2015, 02:49PM
Antonio Registered Member #834 Joined: Tue Jun 12 2007, 10:57PM
Location: Brazil
Posts: 644
If you want to check your calculations, here is a simulation with my Inca program of a VDG terminal with the bottom formed as a half torus. This is probably not the best shape. It's better to extend the top terminal as a sphere for a greater angle, but the improvement is small.
1433170121 834 FT171459 Vdg
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Russ Edmonds
Mon Jun 01 2015, 04:05PM
Russ Edmonds Registered Member #46264 Joined: Sun May 11 2014, 05:27PM
Location: Tucson, Arizona USA
Posts: 61
Very nice Antonio, could you tell me the dimensions of your terminal ? I can't pick them out from this graphic. Also are you modeling the ground plane?
Thanks
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Antonio
Mon Jun 01 2015, 05:33PM
Antonio Registered Member #834 Joined: Tue Jun 12 2007, 10:57PM
Location: Brazil
Posts: 644
The diameter is of 10 cm. The ground is at infinity. A sphere with 10 cm of diameter far from other bodies should have a breakdown voltage of 150 kV, assuming a maximum electric field of 30 kV/cm. That shape is reaching 113 kV. The values scale with the diameter.
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Russ Edmonds
Tue Jun 02 2015, 05:57PM
Russ Edmonds Registered Member #46264 Joined: Sun May 11 2014, 05:27PM
Location: Tucson, Arizona USA
Posts: 61
Here is my field plot for a half torus bottom on the terminal. My terminal geometry is different from Antonio's. 20 cm diameter and 10 cm hole. I assume 150 KV on the terminal and the ground (0 V) is 50 cm from the center of the terminal. In order to make a consistent comparison between the different terminal shapes I'm going to assume a 20 cm diameter hemisphere on top and a 10 cm hole on the bottom.


1433267728 46264 FT171459 Field Plot1 Half Torus
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Russ Edmonds
Wed Jun 10 2015, 05:29PM
Russ Edmonds Registered Member #46264 Joined: Sun May 11 2014, 05:27PM
Location: Tucson, Arizona USA
Posts: 61
I improved how the ground plane was modeled by setting the outer boundary conditions of my solution domain with an image solution to a charged 20 cm diameter sphere 50 cm above and infinite conducting plane. Before I was just setting the outer boundary condition to 0 V. Here is the best shape for the terminal I have found so far using the constraint of a 20 cm diameter hemisphere on top and a 10 cm opening on the bottom. Terminal voltage is 150 KV.

a bottom radius of 45 mm going into a 5 mm radius 180 degree bend at the opening edge.


1433956896 46264 FT171459 Field Plot1 45 Mm 10 Cm Hole 5 Mm Bend


Compare this to just a 5 mm 180 degree bend at the opening edge


1433957177 46264 FT171459 Field Plot1 5 Mm Bend


And the half torus


1433957309 46264 FT171459 Field Plot1 Half Torus
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