3DT Equivalent Circuit Model  

Consider a domain composed by Normal Conducting (NC), Superconducting (SC) and Magnetizable (M) materials which do not intersect, placed in empty space. The magnetizable bodies are assumed as having an assigned M-B relation (in the most general case non linear and hysteretic) as constitute law and null electric conductivity. In the SC domain the power law is assumed as the local constitutive relation between vectors E and J. When HTS materials are considered, the power law is utilized only with reference to the directions in the a-b plane of the crystal lattice; on the c-axis direction a linear constitutive equation, with a low value of the conductivity, is utilized. The current distribution inside the NC  regions is denoted with J^ext.

Copper cylindrical wire with AC transport current

SC cylindrical wire with time-varying transport current

¨                Experimental validation of the model in collaboration with CESI (Milano) is going on.