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Geometry of Toroidal Cores Winding

Posted Jan 23, 2018, 12:26 p.m. EST Low-Frequency Electromagnetics, Geometry 6 Replies

Aoi Takaki
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Hi Everyone. I am new to Comsol.

Rencently, I am trying to use Comsol 5.3 to build a toroidal core with 50 turns. However, I don't know how to build the winding geometry and I can't find any tutorials about this. Could anyone can tell me how to build the geometry as attached?

Thank you!

6 Replies Last Post Jan 25, 2018, 10:48 a.m. EST
Edgar J. Kaiser Certified Consultant
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Posted: 7 years ago Jan 23, 2018, 5:35 p.m. EST

This can be done by first defining a parameterized curve and then sweeping the cross section of the wire along the curve.

Cheers Edgar

-------------------
Edgar J. Kaiser
emPhys Physical Technology
www.emphys.com
This can be done by first defining a parameterized curve and then sweeping the cross section of the wire along the curve. Cheers Edgar
Aoi Takaki
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Posted: 7 years ago Jan 24, 2018, 6:34 a.m. EST

This can be done by first defining a parameterized curve and then sweeping the cross section of the wire along the curve.

Cheers Edgar

Many thanks for your answer.

Could you please explain more specificly on how to define such parameterized curve. For example, the core I am going to wind has a outer diameter of 57.2mm, inner diameter of 26.4mm and height of 15.2mm with 50 turns.

Thanks again!

>This can be done by first defining a parameterized curve and then sweeping the cross section of the wire along the curve. > >Cheers >Edgar Many thanks for your answer. Could you please explain more specificly on how to define such parameterized curve. For example, the core I am going to wind has a outer diameter of 57.2mm, inner diameter of 26.4mm and height of 15.2mm with 50 turns. Thanks again!
Edgar J. Kaiser Certified Consultant
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Posted: 7 years ago Jan 24, 2018, 9:16 a.m. EST

I suggest you check this in the documentation and I guess there are examples in the application library. Good luck.

-------------------
Edgar J. Kaiser
emPhys Physical Technology
www.emphys.com
I suggest you check this in the documentation and I guess there are examples in the application library. Good luck.
Edgar J. Kaiser Certified Consultant
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Posted: 7 years ago Jan 24, 2018, 6:18 p.m. EST

The topic made me a little curious and the parameterization is not overcomplicated but not trivial as well. Check there:

http://mathworld.wolfram.com/Torus.html http://demonstrations.wolfram.com/ToroidalHelices/

There is all you need. Wolfram is frequently an excellent source for things like this.

Cheers Edgar

-------------------
Edgar J. Kaiser
emPhys Physical Technology
www.emphys.com
The topic made me a little curious and the parameterization is not overcomplicated but not trivial as well. Check there: http://mathworld.wolfram.com/Torus.html http://demonstrations.wolfram.com/ToroidalHelices/ There is all you need. Wolfram is frequently an excellent source for things like this. Cheers Edgar
Aoi Takaki
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Posted: 7 years ago Jan 25, 2018, 10:13 a.m. EST

The topic made me a little curious and the parameterization is not overcomplicated but not trivial as well. Check there:

http://mathworld.wolfram.com/Torus.html http://demonstrations.wolfram.com/ToroidalHelices/

There is all you need. Wolfram is frequently an excellent source for things like this.

Cheers Edgar

Thank you Edgar, your suggestions are really helpful. The equation of Toroidal Helices is exactly what I need!

However, I found it difficult to define the parameter of angle to fit in the equation. It always comes up with errors.

The equation is showns as following: cos(t)(R-rcos(pi+25t)) sin(t)(R-rcos(pi+25t)) rsin(pi+25t)

How to define 't' in these equations?

Thank you!

Aoi

>The topic made me a little curious and the parameterization is not overcomplicated but not trivial as well. Check there: > >http://mathworld.wolfram.com/Torus.html >http://demonstrations.wolfram.com/ToroidalHelices/ > >There is all you need. Wolfram is frequently an excellent source for things like this. > >Cheers >Edgar Thank you Edgar, your suggestions are really helpful. The equation of Toroidal Helices is exactly what I need! However, I found it difficult to define the parameter of angle to fit in the equation. It always comes up with errors. The equation is showns as following: cos(t)*(R-r*cos(pi+25*t)) sin(t)*(R-r*cos(pi+25*t)) r*sin(pi+25*t) How to define 't' in these equations? Thank you! Aoi
Edgar J. Kaiser Certified Consultant
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Posted: 7 years ago Jan 25, 2018, 10:48 a.m. EST

Aoi,

t is the parameter, running 0 ... 2pi to build up the curve. In the Comsol parametric curve the default parameter is s, don't change it to t, because this will interfere with any time dependent study.

Cheers Edgar

-------------------
Edgar J. Kaiser
emPhys Physical Technology
www.emphys.com
Aoi, t is the parameter, running 0 ... 2pi to build up the curve. In the Comsol parametric curve the default parameter is s, don't change it to t, because this will interfere with any time dependent study. Cheers Edgar

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