Ansys Maxwell: Ampere's Law Applied to Operating Points on a BH Curve
Hello everyone, David Giglio here with Ozen Engineering, Inc.. In this video, I will demonstrate how to apply Ampere's Law to a BH curve using two operating points: one in the linear region and one in the saturation region. This will help us understand how the flux density behaves in the magnetic core material based on these operating points.
Overview
We will examine the material AK Steel H0 and its BH curve. The data has been exported to an Excel sheet for analysis. Here's a breakdown of the process:
- Apply excitation current corresponding to H = 10.0233 A/m in the linear region.
- Integrate around the Ampere's contour to determine the current needed to achieve a maximum B value of 0.818015 T.
Model Setup
The model consists of a magnetic core with the following characteristics:
- Inner radius or diameter is where maximum B and H occur.
- A single, long conductor runs through the center of the cylindrical core.
According to Ampere's Law, the line integral of H around the Ampere's contour equals the total current enclosed. In this example, the total current is enclosed by the circumference 2πRC, where RC is the radius of the contour, equivalent to the inner radius of the magnetic core.
Results
After applying the excitation, we observe the following:
- In the linear region, H = 10.0233 A/m corresponds to a B value of 0.818015 T, with a model result of 0.801 T (less than 3% difference).
- In the saturation region, H = 101,500 A/m is expected to yield a maximum B value close to 2.088 T, with a model result of 2.035 T (again, less than 3% difference).
These results confirm that Ampere's Law is effectively applied to the operating points on the BH curve. The B value decreases as we move away from the conductor, illustrating how the magnetic field lines weaken towards the outer radius of the core.
Conclusion
In this demonstration, we have successfully applied Ampere's Law to both linear and saturation regions of a BH curve, achieving the expected maximum B values. For more information on our simulation capabilities, or to request a demonstration, please contact us. We offer training on ANSYS tools and consulting services.
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Hello everyone, David Giglio here with Ozen Engineering. In this video, I show how to apply Ampere's law to a BH curve using two operating points, one in the linear region and one in the saturation region, to see how the flux density is in the magnetic core material based on the operating points.
Let's look at the material AK steel H 0. We can see the BH curve here.
I exported this data to this Excel sheet, and we see that if we apply an excitation current corresponding to H equal to this value 10.0233 amps per meter, and if we integrate around the amperium contour, we determine how much current we need to apply to obtain a maximum B value of 0. 818015. This is in the linear region.
If we look at our model, I have a magnetic core set up. In this view, the inner radius or the inner diameter is where maximum B and maximum H will occur, based on Ampere's law. If we look at this equation here, the line integral of H around the amperium contour equals the total current enclosed.
In this simple example, I'll have one conductor, a straight long conductor going through the center of the cylindrical core. This excitation will widen.
The total current encloses lightning with H times the total distance around the pyron contour, which is the circumference, 2π times Rc, the radius of the contour, which is the inner radius of the magnetic core. This gives the total current close, and this is a magnetic transient solver.
The current excitation and flux density will be sinusoidal. After applying this excitation, which I define here, I'll show you H in the linear region. H corresponding to a B value of 0.818015, and in the model, I got 0.801, which I believe is less than three percent difference.
This is what we expect. Similarly, if I do the same thing but now pick a point, an operating point, in the saturation region, I choose here, an operating point in the saturation region, H equal to 101,500 amps per meter.
I apply Ampere's law to determine the total current enclosed, and then we expect to get a maximum B value close to 2. 088. This is what we expect. The B value decreases moving away from the conductor. The magnetic field lines get weaker and weaker as we move away to the outer radius of the core.
I've shown how Ampere's law is applied to operating points on the BH curve. I've put a point on the saturation region, one on the linear region, and showed that we do obtain the expected maximum B values.
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