Modeling Uniform Field Gap Electrodes, Rogowski or others

[js2020]

Hi,

I am trying to design uniform field gap electrodes using the Rogowski profile. I've read some papers on it, but I'm completely new to this and I am just having a hard time translating what's in the paper to my Matlab code to produce the same results. I'm not sure if this is the right place for this but I've tried for a while now and I'm stuck so wanted to reach out for help.

I am following a paper called "Electrode Design for Testing in Uniform Field Gaps" found at <a href="" rel="noopener"

N. G. Trinh, "Electrode Design for Testing in Uniform Field Gaps," in IEEE Transactions on Power Apparatus and Systems, vol. PAS-99, no. 3, pp. 1235-1242, May 1980, doi: 10.1109/TPAS.1980.319754.

If you cannot access it, just let me know.

- I would like to start off with equation (1) which simplifies to (2) assuming psi=90 degrees. Psi is defined as the equipotential surface, but I'm not completely sure what that is. Is that the angle between the equipotential surface and the field lines?
- A is defined as the characteristic distance separating the plane electrode from the infinite ground plane, but it looks like it is actually the distance from the ground plane to the plane electrode plus 1/2 the thickness (T) of the electrode, correct?
- How to I find Ro? It states that R=Ro+Re where Re=2Re, but I do not see Ro anywhere.

If I can get this, I think I can put it in Matlab to make it work.

 

[eljose79]

Hi there,

I am glad to see that you are working on designing uniform field gap electrodes using the Rogowski profile. It can be a bit challenging to translate the information from a paper into code, but with some guidance, I believe you will be able to achieve your desired results.

To answer your questions:

1. The equipotential surface is a surface where all points have the same potential. In this case, it refers to the surface of the electrode. So, psi=90 degrees means that the surface of the electrode is perpendicular to the electric field lines. It is important to note that this simplification only works for specific electrode geometries, so make sure to check if it applies to your design.

2. You are correct. A is the distance from the ground plane to the plane electrode, plus half the thickness of the electrode. This is because the electrode is modeled as a finite plane, so the characteristic distance is measured from its center.

3. Ro is the radius of the outer electrode. It is not explicitly stated in the paper, but you can calculate it using the information provided. From the paper, we know that R=Ro+Re, and Re=2Re. Therefore, Ro=R-Re=2Re. You can also use the equation for Ro provided in the paper (equation 3) to calculate it.

I hope this helps you with your design. If you have any further questions, please let me know. Good luck with your project!