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SC 002 - Quench - Hello World Demo

Model definition

A superconducting YBCO tape with a 0.2 mm copper coating is considered. In the middle of the YBCO core, an aluminium rod is added to initiate quench. The 3D model is illustrated below.

SC geometry with material names

The center of each component is at the origin, (0, 0, 0). The dimensions of each component are detailed below.

ComponentXYZ dimensions [mm]aligned with
Copper box12 x 1.2 x 50Z axis
YBCO box11.6 x 0.8 x 50Z axis
Componentradius [mm]height [mm]aligned with
Air cylinder4050Z axis
Aluminium cylinder0.411.6X axis

Simulation setup quide

Step 1 - Create the geometry

In the Model section, draw the copper box, YBCO box, air cylinder and aluminium cylinder as detailed above to ready the geometry.

Step 2 - Define regions, materials and shared expressions

Proceed to the Properties section to define the model materials. Pick the Copper, YBCO superconductor, Aluminium and Air materials from the materials database and assign them to the corresponding CAD volumes.

In this example, we need to make slight changes to the YBCO superconductor material properties. The automatically defined YBCO_PowerLaw(j,T) function needs to be changed as below.

YBCO power law function definition

Typically the current density in the YBCO material will be defined as the constant YBCO_Jc, but here it is a function of temperature, JcT(T). Define the function JcT(T) as below.

JcT(T) function definition

Here the constants YBCO_Jc, Tc and Top are automatically defined.

Step 3 - Define the physics and apply boundary conditions

Proceed to the Physics section and add the following physics.

Physics

Under Magnetism, the Constraint target is a top edge point on the air cylinder. The Lump I/V cut target is a loop along the top outer edge of the copper box.

Under Magnetism H, H-φ coupling is enabled.

Under Heat solid, the Joule heating target is the tape volume, with copper box, YBCO box and aluminium cylinder included.

Step 4 - Set up the simulation, run and plot

Proceed to the Simulations section and add a new simulation. Add a new mesh that suits your requirements of accuracy.

Set up the simulation. For reference, see for example step-by-step guide SC 001 - Superconductor AC loss.

Run the simulation, then go to the plotting option. Plot Time step in X axis and max T in YBCO in Y axis to see joule heating results.