In this paper we present the design of several topologies of radial and axial superconducting rotating machines. These topologies are based on the magnetic flux concentration principle. The armature of the studied machines is a copper one and the inductor is made of superconducting wire and bulk superconductors. In fact, using the superconducting wire allow a high magnetic flux density. Thanks to bulk superconductors, the flux density is modulated and variable around the air-gap of the machine. Each bulk superconductor is considered as a perfect diamagnetic. Magnetic calculations are carried out using the Monte Carlo Method which has the specificity to be used in limited regions of the studied magnetic area. Due to this property, the calculations time can be seriously decreased.