Magnetic design of the Fermilab 11 T Nb3Sn short dipole model

High field accelerator magnets for a future Very Large Hadron Collider are being developed at Fermilab in collaboration with LBNL, and KEK, The goal o f this work is to elaborate a Cost-effective Nb3Sn dipole magnet design and technology which provide the nominal field of 11 T, This paper presents a description of the magnetic design of the first short model including cable and strand parameters, coil and yoke cross-section and magnet end geometry . The results of field distribution and field quality calculations includin g geometrical and random harmonics, Coil magnetization and iron saturation effects are also reported.