Main >>
Applications >>
Sample problems >>
Tokamak solenoid simulation

# Coupl4: Tokamak solenoid

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

**Problem Type:**

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:**

Current density in coils *j* = 3·10^{8} A/m^{2};

Magnetic permittivity of plastic, coils and liquid helium inside coils μ = 1.

Copper of coils:

Young's modulus *E* = 7.74·10^{10} N/m^{2};

Poisson's ratio ν = 0.335;

Maximum allowable stress: 2.2·10^{8} N/m^{2}.

Plastic structure:

Young's modulus *E* = 2·10^{11} N/m^{2};

Poisson's ratio ν = 0.35;

Maximum allowable stress: 10^{9} N/m^{2}.

The *Coupl4MS.pbm* is the problem of calculating the magnetic field generated by the solenoid, and *Coupl4SA.pbm* analyzes stresses and deformations in coils and plastic structure due to Lorentz forces acting on the coils.

**Results:**

Magnetic flux density distribution in TOKAMAK solenoid:

Mechanical stress distribution in TOKAMAK solenoid:

Download video.

View simulation report in PDF.

Download simulation files (files may be viewed using any QuickField Edition).