Method for calculating the conductor path of a superconductor from the coil body to the joint and associated devices

摘要

A method for calculating the shape of a band-shaped superconductor ( 3 ) of a solenoid-shaped coil section of a high-field magnet coil ( 1 ) in a transfer region ( 5 ) is characterized in that the band-shaped superconductor ( 3 ) is changed in the transfer region from a first orientation ( 3 a) tangentially flatly abutting on the surface of a cylindrical coil body ( 2 ) and substantially perpendicular to the longitudinal direction of the cylindrical coil body ( 2 ) to a second orientation ( 3 b) with its narrow side seating on the surface of the cylindrical coil body and parallel to the longitudinal direction (or vice versa). The path z(u) is determined from the integral-differential equation $\frac{z^{\mathrm{\text{'}\text{'}}}\left(u\right)}{{\left(1+{z^{\text{'}}\left(u\right)}^2\right)}^{\frac{3}{2}}}=\frac{\sin \left(\mathrm{tau}{\int }_0^{u}d\hat{u}\sqrt{1+{z^{\text{'}}\left(\hat{u}\right)}^2}\right)}{r_{\min }}$ wherein z: axial coordinate; u: azimuthal coordinate; û: auxiliary coordinate; tau: constant torsion in the transfer region; r_min minimum bending radius of the band-shaped superconductor, and wherein the position z=0, u=0 is associated with a boundary point 4 a, 4 b of the transfer region. This permits conductor guidance of a brittle band-shaped superconductor of a solenoidal coil section in an axial direction in a compact construction without joints.