We focus on the theoretical modeling and numerical analysis of the mechanical-electro-magnetic behaviors of CICC in superconducting magnets, aiming to discover the effect of the mechanical deformation on the superconducting transport performance, and to provide support/reference for the cabling design. The following presents the main content of this dissertation: 1) We develop an analytical model based on the hierarchical approach of classical wire rope theory, to calculate global displacement-load curve and local axial strain distribution. 2) The spring rod is taken as a more accurate description for strand helix, compared to rectilinear beam in most of previous models.The transport voltage-current curve at cable level is compared to the experimental one and found a good agreement. A certain extent of promotion for CICC performance is suggested to increase the subsequent twist pitch length and reduce the void fraction in a reasonable range. Besides increasing the twist angle with respect to the cable axis properly is helpful for reducing the degradation. 3) Based on the D Ciazynski and A Torre’s formulae, we propose an improved scheme, further revealing the intrinsic mechanism for TARSIS. Especially the obtained transverse transport map well characterizes the inter-filament transfer, showing clearly two pathways of the electric field and the filament twist dependence of the current. Meanwhile, the improved scheme is extended to describe the generalized transport properties, predicting V-I characteristic within a wide resistive range. The V-I curves illustrate the shift from typical power law behavior to less precise power law behavior with loading increasing. 4) We extend the Ginzburg-Landau-Abrikosov-Gor’kov (GLAG) theory to account for the variation of the upper critical field Hc2 with Sn content in A15-type Nb3Sn. Hc2 at the vicinity of the critical temperature Tc is related quantitatively to the electrical resistivity, specific heat capacity coefficient and Tc, with inclusion of the electron-phonon coupling correction, Pauli paramagnetic limiting and martensitic phase transformation of A15 lattices. 5) We introduce a critical-state model incorporating the anisotropy of flux-line pinning to analyze the critical states developing in an anisotropic biaxial superconducting slab exposed to a uniform perpendicular magnetic field and to two crossed in-plane magnetic fields which are applied successively. We find that an enhanced in-plane anisotropy mod...