AC/DC Currents flowing through air region

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I'm pretty new to COMSOL but have been required to use it for an assignment, so I'm not fully aware of how to problem solve when I get strange things happening like this!

I am building a model using the AC/DC module with frequency domain analysis. I have a homogenised coil with many turns situated above a 1.5mm layer of CFRP, then underneath that there is a 3mm layer of Aluminium. The aluminium layer has a cuboid region cut out of it, which one half of the coil is located above. The cuboid region was created by subtracting a cuboid from the plate, which then leaves a region that isn't allocated as aluminium and therefore defaults to air. I have double checked and the region is indeed air and is not overriden by any other material.

However, the Eddy currents produced in the Al layer are clearly just flowing straight through this air region as if it wasn't there and it was all just part of the Al sample. In the screenshot attached, the slice runs directly through the centre of the coil and air region, which is the square directly under one half of the coil. It clearly shows the current just flowing straight through it, which isn't physical. The "n-shaped" object to the left of the air region is a Ti rivet, which should also have some impact on the current, but it doesn't seem to.

It looks like COMSOL is considering the entire sample to just be one solid block of conductive material, but I've checked and double checked my material assignment and I can't see why this should be the case. Can anyone offer a possible solution please? Thanks in advance!

The COMSOL version I'm running is V6.2.



6 Replies Last Post 2024年9月2日 GMT+2 10:31
Edgar J. Kaiser Certified Consultant

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Posted: 2 weeks ago 2024年8月22日 GMT+2 18:25

Hi Luke,

that is indeed a little mysterious.

I added an Ampere's Law node that overrides all the Free Space assignments and set the conductivity for air and the dielectric to 1 S/m for solver stability. Now the result looks realistic.

I think the Free Space thing is relatively new and I never used it. I always use Ampere's law with suitable material assignments. Free space is essentially equivalent to air. The Free Space node should actually just add the stabilization conductivity that is needed to get the solver to converge. But maybe I am missing something.

I would be curious about comments from other people.

Cheers Edgar

-------------------
Edgar J. Kaiser
emPhys Physical Technology
www.emphys.com
Hi Luke, that is indeed a little mysterious. I added an Ampere's Law node that overrides all the Free Space assignments and set the conductivity for air and the dielectric to 1 S/m for solver stability. Now the result looks realistic. I think the Free Space thing is relatively new and I never used it. I always use Ampere's law with suitable material assignments. Free space is essentially equivalent to air. The Free Space node should actually just add the stabilization conductivity that is needed to get the solver to converge. But maybe I am missing something. I would be curious about comments from other people. Cheers Edgar

Durk de Vries COMSOL Employee

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Posted: 2 weeks ago 2024年8月23日 GMT+2 09:47
Updated: 2 weeks ago 2024年8月23日 GMT+2 10:02

Hi Luke, Thanks for reaching out!

The reason for the lack of material contrast, is that everything is free space. Adding materials to the model gives COMSOL access to the necessary material data, but it does not specify how to treat the domains. In the physics, the default node is "Free Space" (vacuum/air), this node serves as a canvas. You can add an "Ampère's Law in Solids" node to indicate that your metals are solid (basically; what Edgar says -- see attached).

The reason for this design is that for electromagnetical phenomena (in particular related to anisotropic material properties and eddy currents) the behavior of liquids and solids is conceptually different. Since making everything liquid or solid by default would result in models that are wrong in one way or another, we decided to start with empty space and encourage the end user to make a decision.

On top of this, the free space node comes with built-in stabilization. That is the reason why you got some current in your initial model (although a very small amount). On the forum you may have seen the general advice to use "1 S/m in the air". The free space feature determines an appropriate amount of stabilization conductivity automatically, by looking at the local skin depth.

We've been experimenting with this design for about one release now and your feedback shows that for some use cases this can lead to confusion. We will look into this and improve the usability in this regard.

Thanks for reporting! Kind regards, Durk

Hi Luke, Thanks for reaching out! The reason for the lack of material contrast, is that everything is free space. Adding materials to the model gives COMSOL access to the necessary material data, but it does not specify how to treat the domains. In the physics, the default node is "Free Space" (vacuum/air), this node serves as a canvas. You can add an "Ampère's Law in Solids" node to indicate that your metals are solid (basically; what Edgar says -- see attached). The reason for this design is that for electromagnetical phenomena (in particular related to anisotropic material properties and eddy currents) the behavior of liquids and solids is conceptually different. Since making everything liquid or solid by default would result in models that are wrong in one way or another, we decided to start with empty space and encourage the end user to make a decision. On top of this, the free space node comes with built-in stabilization. That is the reason why you got some current in your initial model (although a very small amount). On the forum you may have seen the general advice to use "1 S/m in the air". The free space feature determines an appropriate amount of stabilization conductivity automatically, by looking at the local skin depth. We've been experimenting with this design for about one release now and your feedback shows that for some use cases this can lead to confusion. We will look into this and improve the usability in this regard. Thanks for reporting! Kind regards, Durk


Magnus Olsson COMSOL Employee

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Posted: 2 weeks ago 2024年8月23日 GMT+2 10:15
Updated: 2 weeks ago 2024年8月23日 GMT+2 10:17

Hi Luke,

The Free Space is the default domain feature in the Magnetic Fields interface since version 6.2. It is there to automate the modeling of free space (non-conducting media with relative permittivity and relative permeability of unity). Depending on the frequency, some artificial conductivity is needed in such domains and the Free Space feature is there to automate that.

The Free Space feature must be overridden by the user in domains having a (non-free space) material by adding Ampère's Law in Solids or Ampère's Law in Fluids - otherwise the entire simulation domain will be treated as free space.

The reason for having two flavors of the Ampère's Law feature is to be able to correctly handle models with moving parts/mesh as then solids and fluids must be treated differently.

When adding Ampère's Law in Solids to your non-air domains (above the Coil as the Coil also overrides Free Space and is overridden by Ampère's Law in Solids), the solver warned for some missing material properties in the CFRP_homogenised material (permittivity and conductivity) so I added, hopefully intelligent, guesses for those see the attached version.

I hope this helps.

-------------------
Magnus
Hi Luke, The Free Space is the default domain feature in the Magnetic Fields interface since version 6.2. It is there to automate the modeling of free space (non-conducting media with relative permittivity and relative permeability of unity). Depending on the frequency, some artificial conductivity is needed in such domains and the Free Space feature is there to automate that. The Free Space feature must be overridden by the user in domains having a (non-free space) material by adding Ampère's Law in Solids or Ampère's Law in Fluids - otherwise the entire simulation domain will be treated as free space. The reason for having two flavors of the Ampère's Law feature is to be able to correctly handle models with moving parts/mesh as then solids and fluids must be treated differently. When adding Ampère's Law in Solids to your non-air domains (above the Coil as the Coil also overrides Free Space and is overridden by Ampère's Law in Solids), the solver warned for some missing material properties in the CFRP_homogenised material (permittivity and conductivity) so I added, hopefully intelligent, guesses for those see the attached version. I hope this helps.


Edgar J. Kaiser Certified Consultant

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Posted: 2 weeks ago 2024年8月23日 GMT+2 11:23

Durk and Magnus,

thanks for your comments. In earlier versions the default node was Ampere's Law and all domains were treated according to their material settings. Now we need additional Ampere's law nodes for everything that is not free space. That is fine for me. Is the automatic stabilization conductivity in the Free Space node available in the model variables? I didn't find it in the equation view. And I guess I need to do some reading about the differences of solid and fluid Ampere's law nodes.

Cheers Edgar

-------------------
Edgar J. Kaiser
emPhys Physical Technology
www.emphys.com
Durk and Magnus, thanks for your comments. In earlier versions the default node was Ampere's Law and all domains were treated according to their material settings. Now we need additional Ampere's law nodes for everything that is not free space. That is fine for me. Is the automatic stabilization conductivity in the Free Space node available in the model variables? I didn't find it in the equation view. And I guess I need to do some reading about the differences of solid and fluid Ampere's law nodes. Cheers Edgar

Magnus Olsson COMSOL Employee

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Posted: 5 days ago 2024年8月29日 GMT+2 09:52

Hi Edgar,

It shows up in equation view in the regular tensor conductivity variables, e.g: mf.sigmaxx The equivalent skin depth that is aimed for in the frequency domain when using "Automatic" is 100 times the linear size of the geometry.

From the manual: "A suitable rule of thumb for choosing the stabilization conductivity is given by the skin depth, as compared to the overall geometry size. The assumption is that if the skin depth in Free Space is around one hundred times the device size, the resulting loss and the impact on lumped device properties are insignificant. At the same time, the model will still be sufficiently stable. What is considered a good value will differ per model, though. It is therefore recommended to double-check the free space loss as compared to other loss terms in the model. If the stabilization conductivity has a negative impact on the overall model accuracy, consider lowering it."

Best regards,

-------------------
Magnus
Hi Edgar, It shows up in equation view in the regular tensor conductivity variables, e.g: mf.sigmaxx The equivalent skin depth that is aimed for in the frequency domain when using "Automatic" is 100 times the linear size of the geometry. From the manual: "A suitable rule of thumb for choosing the stabilization conductivity is given by the skin depth, as compared to the overall geometry size. The assumption is that if the skin depth in Free Space is around one hundred times the device size, the resulting loss and the impact on lumped device properties are insignificant. At the same time, the model will still be sufficiently stable. What is considered a good value will differ per model, though. It is therefore recommended to double-check the free space loss as compared to other loss terms in the model. If the stabilization conductivity has a negative impact on the overall model accuracy, consider lowering it." Best regards,

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Posted: 24 hours ago 2024年9月2日 GMT+2 10:31

Thank you all so much for your help and explanations - makes perfect sense now that I know what the problem was.

Thank you all so much for your help and explanations - makes perfect sense now that I know what the problem was.

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