Inductance Computed with Flux Linkage and Current - Ansys Maxwell Magnetic Transient
Hello everyone, my name is David Giglio from Ozen Engineering, Inc. In this video, I will demonstrate how to compute the apparent inductance and incremental inductance using the flux linkage and current results from the magnetic transient solver of ANSYS Maxwell.
Mesh Operations
One important step is to apply mesh operations to the core to ensure that the FEM elements in the core have sufficient resolution for accurate results.
Simulation Setup
- Three-phase excitation applied to the windings.
- Current: 1 amp
- Frequency: 1 kilohertz
- Period: 1 millisecond
Example: Phase A
For phase A, the current varies from 0 to 1 amp, with the maximum occurring at 250 microseconds.
Creating the Flux Linkage vs. Current Plot
- Apply flux linkage 1 to 1 on the y-axis.
- Uncheck default and apply input current 1 to 1 on the x-axis.
- Set the time range from 0 to 250 microseconds (a quarter cycle where maximum current occurs).
This plot represents flux linkage versus current, and the derivative of this plot is the incremental or differential inductance.
Computing Inductance
- Apparent Inductance: Computed by determining the slope of the line from the origin to the maximum operating point, which is 20.655 microhenrys.
- Incremental Inductance: Obtained by taking the derivative of the flux linkage versus current.
To compute the incremental inductance:
- Apply the derivative of flux linkage 1 to 1 divided by the derivative of input current on the y-axis.
- Uncheck the default and apply input current on the x-axis.
- Change the time axis from 0 to a quarter cycle.
The average incremental inductance is 20.655 microhenrys, matching the apparent inductance obtained from the flux linkage input current plot.
Conclusion
Thank you for watching. For more details on the theory of inductance, including magnetizing curves, saturation, and other related topics, please refer to the blog linked in the video description. We encourage you to subscribe to our channel for updates on upcoming content. If you have suggestions or need assistance, feel free to leave a comment or contact us. Thank you very much, and I will see you in the next video.
Hello everyone, my name is David Giglio from Ozen Engineering. In this video, I will show you how to compute the apparent inductance and incremental inductance using the flux linkage and current results from ANSYS Maxwell's magnetic transient solver.
Before starting the computation, it is important to apply mesh operations to the core to ensure that the FEM elements in the core have sufficient resolution to obtain accurate results. I have applied three-phase excitation to the windings of 1 amp and a frequency of 1 kilohertz.
The period is 1 millisecond. Here is an example of the current after running the simulation. For phase A, I will use it as an example of where to compute the current. I will use the inductance where the current varies from 0 to 1 amp maximum, occurring at 250 microseconds.
To create the flux linkage versus current plot, apply the flux linkage 1 to 1 in the y-axis, and in the x-axis, uncheck default and apply input current 1 to 1. For the time range, set it to from minimum 0 microseconds to 250 microseconds, which is a quarter cycle where maximum current occurs.
In this plot, it is flux linkage versus current, and the derivative of this plot is the incremental or differential inductance. The apparent inductance is computed by computing the slope of the line from the origin to the maximum operating point, which here is 20.655 micro henrys.
The derivative of this plot, which is the incremental inductance, is obtained by taking the derivative of the flux linkage versus current. This is done over here. Let me show you in the y-axis, apply derivative of flux linkage 1 to 1 divided by a derivative of input current.
Now, DT is cancelled out, and the result is Dλ over DI, which is incremental inductance, change of flux over change in time. In the x-axis, uncheck the default, apply input current, and change the time axis from 0 to quarter cycle.
This is how the incremental inductance versus current applied is obtained. The average of the incremental inductance is 20.655 micro henrys, which matches with the apparent inductance obtained from the flux linkage input current plot. Thank you for watching.
For more details of the theory of inductance, including magnetizing curves and more, check out our next video on the inductance of the flux linkage, saturation, magnetizing curves, different regions, linearized magnetizing curves, and a model computing incremental inductance.
We have provided a link to this blog and the video in the description below. Please subscribe to our channel if you like the video, and don't forget to like it. Contact us if you would like us to help you, and we will provide the service.
Thank you very much, and I will talk to you in the next video.
