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The method of scalar magnetic potential using imaginary magnetic charges is employed effectively for the calculation of the electromagnetic fields in superconducting electric machines. The computing model consists of several single layers of magnetic charges. Finite-difference numerical techniques are utilized for the computation. The cylindrical coordinate system has been used for the calculation of the electromagnetic losses inside the electromagnetic shield of the rotor windings. The tangential and axial components of eddy currents have been taken into account. Linear magnetic charges replace rotor and stator currents; and surface magnetic charges replace the eddy currents inside the electromagnetic shield of the rotor windings. Various systems of partial differential equations have been formulated for the computer-aided analysis of this problem.