U-Shaped Coil Tokamak: Poloidal Field Control

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Discussion Overview

The discussion revolves around the concept of using U-shaped coils in conjunction with traditional toroidal field coils in a tokamak for poloidal field control. Participants explore the potential benefits and challenges of this approach, including its impact on magnetic field strength and geometry.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant suggests that U-shaped coils could be mounted on the outer side of the toroidal ring to enhance the magnetic field in areas where it is weaker due to geometric constraints.
  • Another participant questions the current return path of the U-shaped coil and whether it would simply replicate the existing poloidal coils.
  • A participant describes the U-shaped coils as forming a toroidal cavity with concentrated fields at the outer parts, contrasting with traditional solenoids.
  • One participant argues that the proposed U-shaped coil would not generate a magnetic field inside if the current return is positioned far outside, referencing the principle that the curl of the magnetic field is zero outside of coils.
  • Another participant acknowledges the previous point and emphasizes that the configuration of the coil circuit is crucial in determining the magnetic field lines' behavior.

Areas of Agreement / Disagreement

Participants express differing views on the effectiveness and feasibility of using U-shaped coils for poloidal field control, with no consensus reached on the validity of the proposed approach.

Contextual Notes

Limitations include assumptions about the current return path and the geometric implications of the coil arrangement, which remain unresolved in the discussion.

artis
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It is long known that the toroidal field alone is not sufficient to achieve toroidal force balance within a tokamak due to the field being bent and geometry restricting the field to be of even strength both within the inner and outer circumference of the ring. Induced current is thus used for poloidal field control as a restoring force.

Speaking about the toroidal field I was wondering , is it not possible to use U shaped coils together with the traditional toroidal field coils where the U shaped coil would be mounted on the outer side of the toroidal ring such that It's open part faces inwards , towards the center of the toroid.
This would strengthen the B field in a asynchronous way at the outer part of the toroid where the field is weaker due to geometry.
What are your thoughts about this, has it been tried is there any literature?
I can't seem to find any.
 
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Where is the current return of that "U"? If you repeat that pattern around the torus, do you just get lines that go around the torus, i.e. the poloidal coils they already use?
 
@mfb see the attached picture, but basically think of it as a toroidal cavity similar to that of the RF cavity where you essentially have a multitude of parallel U shaped coils forming a torus but the middle is empty, Unlike a solenoid, here the field is concentrated at the outer parts instead of the inner parts or middle.

You can also think of them like individual strips of wire filling the geometrical gaps between the toroidal field solenoids/coils since due to geometry the spaces between the coils are not even in the outside vs inside spaces of the toroid chamber.

0D5Ps.jpg
 
That does nothing. The field inside such a coil is zero, assuming your current return is somewhere far outside. Think of the field geometry you want to get, then remember rot B = 0 outside of coils.
 
I think @mfb I get your point, because if the coil is fed externally then it forms a loop on the outside part instead of forming one at the side facing the toroid chamber, so it would have to be fed internally somewhat like an RF cavity is because we know that in a cavity the B field indeed is set up.
So it must be all decided by how the coil circuit is closed which determines where the field lines will be.
 

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