Magnetic equivalent circuit for a UU-core inductor

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Discussion Overview

The discussion revolves around developing a magnetic equivalent circuit for a UU-core inductor with two parallel bus bars. Participants explore how to model the magnetomotive force (MMF) in this context, considering the effects of the bus bars on the magnetic field and the implications of their current flow.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant suggests modeling the MMF with two current sources representing the fields of each bus bar, assuming that their fields cancel in the middle.
  • Another participant notes that when the UU cores are assembled, they form a closed magnetic circuit, questioning whether the bus bars pass through that loop and suggesting that equal circuit currents would cancel, resulting in zero field in the UU core.
  • A later reply emphasizes that if the currents are equal and opposite, there will be no MMF due to the balanced circuit current.
  • Another participant asserts that the assumption is that the currents are not equal, describing the system as a common-mode choke and suggesting a four-terminal, two-winding transformer model for simulation.
  • One participant proposes that knowing the maximum and minimum currents in the bus bars can help size the magnetic circuit by using the resultant of these currents.

Areas of Agreement / Disagreement

Participants express differing views on the behavior of the magnetic fields generated by the bus bars, particularly regarding the cancellation of MMF and the conditions under which it occurs. The discussion remains unresolved, with multiple competing perspectives on how to model the system.

Contextual Notes

There are assumptions regarding the equality of currents in the bus bars and their impact on the magnetic field that are not fully explored. The discussion also highlights the need for a diagram to clarify the proposed models.

user2539
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Hello, I am trying to develop a magnetic equivalent circuit for a UU-core inductor with two parallel bus bars in the middle of the slot. I am not sure as to how to model the MMF in such problem.
The logical way in my mind is to have two current sources to represent the fields of each bus bar since it is a positive and negative bars it is fair to assume that the fields in the middle would cancel out meaning the rest of the field can be modeled by two current sources in the directions of the each field as the MMF in the equivalent circuit.
Any ideas?
 
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Welcome to PF.

user2539 said:
Any ideas?
When the UU cores are assembled, they will form a closed magnetic circuit.
UU = O

Will the two bus bars pass together through that loop ?
If so, the equal circuit currents will cancel, resulting in zero field in the UU core.
Between the bus bars, there will be double the magnetic field. The magnetic fields of a return circuit, only cancel at a far distance from both conductors.

Maybe we need a diagram to see what you are considering.
 
Baluncore said:
Maybe we need a diagram to see what you are considering.
Agreed!
 
1717277225478.png
 
That looks like an earth leakage detector or a common-mode choke.

If the currents are equal and opposite, there will be no MMF due to the balanced circuit current.
 
It is a common-mode choke, the assumption used is that the currents are not equal.
 
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user2539 said:
It is a common-mode choke, the assumption used is that the currents are not equal.
Then the simulation model would be a four terminal, two winding transformer, oriented for common mode current. The primary and secondary in that mode are indistinguishable.
 
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If you know the maximum and minimum currents in the two buss bars and their polarity, you can subtract the minimum from the maximum and use that resultant to size the magnetic circuit.

Cheers,
Tom
 
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