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Hysteresis Losses on synchron motor

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Hi All,

i desperately try to evaluating hysteresis loss in comsol way. there are a few commonly used formulas.

i think, the easiest is to measure the area enclosed by the hysteresis loop in a cycle Ahyst

Ph= f * integral [ H * dB ] --> but how about sekundare Loop ? see the attachment (hysteresis on the stator tooth)

there are two most common models Jiles-Atherton (JA) and Preisach model (PM)

to use JA parameters alpha, M, a, k and c should be identified for example bei conduct an experiment

PM is mathematical model of hystereses (very mathematic). i have difficulty to understand it and implement it in comsol.

-Steinmetz-Model (SM)

Phy/V = k * f^alpha * B^ß

this SM is more for pure periodich flux. k and ß can be calculate using PM. see B-curve (green line)

I have non-lin HB-Curve of the Softiron.

What is the best (accuracy, simple) way to evaluate hysteresis loss?

thank you in advance!

regards
akmal



13 Replies Last Post 23 ago 2016, 10:21 GMT-4

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Posted: 1 decade ago 7 giu 2011, 07:58 GMT-4
Hi All,

i got the curve of one periode of magnetizing in B vs H.

The BH Area could be caculated in primitiv way. comsol has rmm.Wm calculated. by using photoshop i can evaluate the relation (c=Ahyst/Amax) between closed loop area and the maximal area of B*H (instead of rmm.Wm).

Whyst [J/m³] = c * Wmax

Physt [W]= Whys * freq * Volume

any comments are welcome.

regards
akmal






Hi All, i got the curve of one periode of magnetizing in B vs H. The BH Area could be caculated in primitiv way. comsol has rmm.Wm calculated. by using photoshop i can evaluate the relation (c=Ahyst/Amax) between closed loop area and the maximal area of B*H (instead of rmm.Wm). Whyst [J/m³] = c * Wmax Physt [W]= Whys * freq * Volume any comments are welcome. regards akmal

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Posted: 1 decade ago 8 giu 2011, 18:19 GMT-4
Hi Akmal,

I do not know a lot about hysteresis models, but wouldn't it be possible to determine the the hysteresis losses by first doing an analysis using a material model without hysteresis, for instance by using a constant mur. And then using a material model that uses the HB curve and does model hysteresis.

If you use the coil current and the coil voltage to calculate the electrical power in both cases the difference between the analyses should be the hysteresis losses, right?

Regards,
Floris
Hi Akmal, I do not know a lot about hysteresis models, but wouldn't it be possible to determine the the hysteresis losses by first doing an analysis using a material model without hysteresis, for instance by using a constant mur. And then using a material model that uses the HB curve and does model hysteresis. If you use the coil current and the coil voltage to calculate the electrical power in both cases the difference between the analyses should be the hysteresis losses, right? Regards, Floris

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Posted: 1 decade ago 22 giu 2011, 00:16 GMT-4
Akmal,

I am also very interested in modeling hysteresis losses in magnetic materials. I had read that many people have successfully implemented the Preisach model in COMSOL, for example, they mention it in this paper:

www.comsol.com/papers/2604/download/Sergeant.pdf

I also am having trouble understanding how to model hysteresis losses in the simplest manner possble.
Any help is much appreciated!


Thanks,
Daniel
Akmal, I am also very interested in modeling hysteresis losses in magnetic materials. I had read that many people have successfully implemented the Preisach model in COMSOL, for example, they mention it in this paper: http://www.comsol.com/papers/2604/download/Sergeant.pdf I also am having trouble understanding how to model hysteresis losses in the simplest manner possble. Any help is much appreciated! Thanks, Daniel

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Posted: 1 decade ago 27 giu 2011, 05:40 GMT-4
Hi All,

thx for your suggestion. have also consider separate modell only to evaluate hysteresis loss. B and H curve on stator tooth can be applied in model also. i'll try to share the modell only for hysteresis losses soon.

"If you use the coil current and the coil voltage to calculate the electrical power in both cases the difference between the analyses should be the hysteresis losses, right?"
No, the difference is not only hysteresis loss but also eddy current loss (induced current in the soft iron).

To Daniel Harburg, tell me about your model. it is a rotating machine or something else?

regards
akmal
Hi All, thx for your suggestion. have also consider separate modell only to evaluate hysteresis loss. B and H curve on stator tooth can be applied in model also. i'll try to share the modell only for hysteresis losses soon. "If you use the coil current and the coil voltage to calculate the electrical power in both cases the difference between the analyses should be the hysteresis losses, right?" No, the difference is not only hysteresis loss but also eddy current loss (induced current in the soft iron). To Daniel Harburg, tell me about your model. it is a rotating machine or something else? regards akmal

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Posted: 1 decade ago 27 giu 2011, 12:33 GMT-4
Akmal,

Thanks for the reply. I am trying to model hysteresis losses in a laminated magnetic material layers which are separated by epoxy. I have attached the model that I have built so far. This model is of a small section of a toroidal inductor, so there are copper turns both above and below the magnetic material. We are trying to look at eddy current and hysteresis losses in the magnetic layers (which right now I am modeling just as soft iron).

I have implemented the BH curve in my model, but that does not produce any hysteresis loss since there is no coercivity information for the BH curve (or no BH loop with a lossy area).

I would be very interested to see your model which models hysteresis loss because I don't understand how I can model this type of loss for this model. Do I need to use the real and imaginary parts of permeability, or is there another way?


Thanks for all the help.

Daniel
Akmal, Thanks for the reply. I am trying to model hysteresis losses in a laminated magnetic material layers which are separated by epoxy. I have attached the model that I have built so far. This model is of a small section of a toroidal inductor, so there are copper turns both above and below the magnetic material. We are trying to look at eddy current and hysteresis losses in the magnetic layers (which right now I am modeling just as soft iron). I have implemented the BH curve in my model, but that does not produce any hysteresis loss since there is no coercivity information for the BH curve (or no BH loop with a lossy area). I would be very interested to see your model which models hysteresis loss because I don't understand how I can model this type of loss for this model. Do I need to use the real and imaginary parts of permeability, or is there another way? Thanks for all the help. Daniel


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Posted: 1 decade ago 8 lug 2011, 06:49 GMT-4
Hi Daniel,

attached is hysteresis model using Jiles Atherton Method JAM.

regards
akmal
Hi Daniel, attached is hysteresis model using Jiles Atherton Method JAM. regards akmal


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Posted: 1 decade ago 16 ott 2011, 04:42 GMT-4
Hi Akmal,
Thanks for posting your model. I don't understand the expression for dMirrdt though. Could you explain it or give a reference?
Thank you!
Patrick
Hi Akmal, Thanks for posting your model. I don't understand the expression for dMirrdt though. Could you explain it or give a reference? Thank you! Patrick

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Posted: 1 decade ago 19 ott 2011, 06:35 GMT-4
Hi Akmal,

Don't bother. I found A.J.Bergquist, IEEE trans. of Magnetics, vol 32. No5 1996, that explains it.

Thanks again for your instructive model.

Patrick
Hi Akmal, Don't bother. I found A.J.Bergquist, IEEE trans. of Magnetics, vol 32. No5 1996, that explains it. Thanks again for your instructive model. Patrick

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Posted: 1 decade ago 3 nov 2011, 03:38 GMT-4
Hi Patrick,
Can you share that paper? I also need to study this.

Tung
Hi Patrick, Can you share that paper? I also need to study this. Tung

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Posted: 1 decade ago 16 dic 2011, 14:05 GMT-5
Hello Tung,
There are lots of available documents on the web that cover the Jiles-Atherton Model. But one of the better papers is “An Inverse Jiles-Atherton Model to take into Account Hysteresis in Time-Stepping Finite-Element Calculations” by N. Sadowski, et. Al., IEEE Transactions on Magnetics, Vol. 38, No. 2, March 2002. With this document you can easily follow the hysteresis example attached above. I also modified the example to make it fully 2-D. I hope COMSOL will officially incorporate this type of scheme in their AC/DC Module.
Trevor
Hello Tung, There are lots of available documents on the web that cover the Jiles-Atherton Model. But one of the better papers is “An Inverse Jiles-Atherton Model to take into Account Hysteresis in Time-Stepping Finite-Element Calculations” by N. Sadowski, et. Al., IEEE Transactions on Magnetics, Vol. 38, No. 2, March 2002. With this document you can easily follow the hysteresis example attached above. I also modified the example to make it fully 2-D. I hope COMSOL will officially incorporate this type of scheme in their AC/DC Module. Trevor


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Posted: 1 decade ago 20 apr 2012, 10:18 GMT-4
Hi,

I am working on an academic project, and trying to simulate magnetic hysteresis loss with the Jiles-Atherton method. I am using the model hysteresis_example_2D.mph as a basis. It's running fine with default parameters on Comsol 4.2a :
freq = 50Hz
1A<I<5A
a 560 A/m
Ms 1.6e6 A/m
k 1200
c 0.1
alpha 0.0007

But I get convergence problems (unsolvable system) when I modify parameters such as frequency and current amplitude.

I change frequency to 50kHz in parameters definition. I0_Coil is now defined with :
1[A]+2[A]*(t>0.04e-3)+2[A]*(t>0.08e-3)
I also adjust the time interval used for simulation like this.
range(0,5.0e-7,1.2e-4)
Now simulation is still ok. It runs fine.

But if I change current amplitude like that:
I0_Coil is now defined with : 1[A]+10[A]*(t>0.04e-3)+10[A]*(t>0.08e-3)
I assumed, no smoothing of signal was necessary because its a sine wave...

I got error :

Repeated error test failures. May have reached a singularity.
Time : 4.336672761686902e-005
Undefined value found.
Undefined value found in the stiffness matrix..
There are 6 equations giving NaN/Inf in the matrix rows for the variable mod1.H1x.
at coordinates: (-0.005,0.00885346), (-0.005,0.00942673), (-0.005,0.01), (-0.00461831,0.00963079), (-0.00423662,0.00926159), ...
There are 6 equations giving NaN/Inf in the matrix rows for the variable mod1.H1y.
at coordinates: (-0.005,0.00885346), (-0.005,0.00942673), (-0.005,0.01), (-0.00461831,0.00963079), (-0.00423662,0.00926159), ...
and similarly for the degrees of freedom, NaN/Inf in the matrix columns.
Last time step is not converged.

What can be done to solve this ? I tried reducing maximum time step in time-dependent solver but no success.

Thanks in advance.

D. Barthélémy
Hi, I am working on an academic project, and trying to simulate magnetic hysteresis loss with the Jiles-Atherton method. I am using the model hysteresis_example_2D.mph as a basis. It's running fine with default parameters on Comsol 4.2a : freq = 50Hz 1A0.08e-3) I also adjust the time interval used for simulation like this. range(0,5.0e-7,1.2e-4) Now simulation is still ok. It runs fine. But if I change current amplitude like that: I0_Coil is now defined with : 1[A]+10[A]*(t>0.04e-3)+10[A]*(t>0.08e-3) I assumed, no smoothing of signal was necessary because its a sine wave... I got error : Repeated error test failures. May have reached a singularity. Time : 4.336672761686902e-005 Undefined value found. Undefined value found in the stiffness matrix.. There are 6 equations giving NaN/Inf in the matrix rows for the variable mod1.H1x. at coordinates: (-0.005,0.00885346), (-0.005,0.00942673), (-0.005,0.01), (-0.00461831,0.00963079), (-0.00423662,0.00926159), ... There are 6 equations giving NaN/Inf in the matrix rows for the variable mod1.H1y. at coordinates: (-0.005,0.00885346), (-0.005,0.00942673), (-0.005,0.01), (-0.00461831,0.00963079), (-0.00423662,0.00926159), ... and similarly for the degrees of freedom, NaN/Inf in the matrix columns. Last time step is not converged. What can be done to solve this ? I tried reducing maximum time step in time-dependent solver but no success. Thanks in advance. D. Barthélémy

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Posted: 1 decade ago 18 ago 2012, 11:20 GMT-4
Hi, everyone. I am working in my PH degree and I need your help to implement the Jiles-Atherton model in Comsol.
I am trying to model ferromagnetic materials using the "hysteresis_example_2D.mph" example posted here, but I obtain "funny" results. My model is only a rectangle (ferromagnetic plate) and three circles (three copper conductors with balanced currents). I say I have "funny" results because is something strange that for balanced currents (shifted 0º, -120º and 120º) I obtain a "Failed to find consistent initial valaues" error, but if they are not shifted (0º, 0º and 0º) I have a correct solution. Please, any suggestions?

Thanks in advance.
Hi, everyone. I am working in my PH degree and I need your help to implement the Jiles-Atherton model in Comsol. I am trying to model ferromagnetic materials using the "hysteresis_example_2D.mph" example posted here, but I obtain "funny" results. My model is only a rectangle (ferromagnetic plate) and three circles (three copper conductors with balanced currents). I say I have "funny" results because is something strange that for balanced currents (shifted 0º, -120º and 120º) I obtain a "Failed to find consistent initial valaues" error, but if they are not shifted (0º, 0º and 0º) I have a correct solution. Please, any suggestions? Thanks in advance.

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Posted: 8 years ago 23 ago 2016, 10:21 GMT-4
Hi Trevor,

I am also trying to solve loss problem. I am going through your model. I have got few doubts,

1> Can you please elaborate the use of flshms and the expression
smoothRamp(Mrevx*d(Hex,t)+Mrevy*d(Hey,t),delta)/(c*k)*if(normMrev>0,Mrevy/normMrev,0)
2> When I see the ode expression it is being differentiated with respect to t,
d(mf.Mx,t)-(1-c)*dMirrxdt-c*d(Manx,t)

However In the Sadowski paper it is differentiated with respect to Be.

Can you please explain it for me.

With best regards,
Gaurav
Hi Trevor, I am also trying to solve loss problem. I am going through your model. I have got few doubts, 1> Can you please elaborate the use of flshms and the expression smoothRamp(Mrevx*d(Hex,t)+Mrevy*d(Hey,t),delta)/(c*k)*if(normMrev>0,Mrevy/normMrev,0) 2> When I see the ode expression it is being differentiated with respect to t, d(mf.Mx,t)-(1-c)*dMirrxdt-c*d(Manx,t) However In the Sadowski paper it is differentiated with respect to Be. Can you please explain it for me. With best regards, Gaurav

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