Coupl4: Tokamak solenoid

The central solenoid of the ohmic heating system for a tokamak fusion device.

Problem Type:
An axisymmetric problem of magneto-structural coupling.

Geometry:

The solenoid consists of 80 superconducting coils fixed in common plastic structure. Due to mirror symmetry one half of the structure is modeled.

Given:

• Magnetic data:
  Current density in coils j = 300·10⁶ A/m²;
  Magnetic permittivity of plastic, coils and liquid helium inside coils μ = 1.
• Stress analysis data:

  Copper of coils:
  Young's modulus E = 7.74·10¹⁰ N/m²;
  Poisson's ratio ν = 0.335;
  Maximum allowable stress: 2.2·10⁸ N/m².

  Plastic structure:
  Young's modulus E = 2·10¹¹ N/m²;
  Poisson's ratio ν = 0.35;
  Maximum allowable stress: 1·10⁹ N/m².

See the Coupl4MS.pbm and Coupl4SA.pbm problems in the Examples folder for the corresponding DC magnetics and stresses analysis parts of this problem.