The concept of scalar potential has been used for magnetic field calculation in the USSR during the last decade. It is based on treating the eddy component of the magnetic field separately and calculating the potential field with the help of the scalar potential by introducing imaginary magnetic charges. This method has been developed for digital calculations of magnetic fields in various electromagnetic devices, by solving linear and nonlinear partial-differential equations through mathematical simulation. This paper presents the mathematical formulation of the method. It is advantageous to use the scalar potential method for two-dimensional eddy-current calculations because of the possibility to solve the equations just over the conductor surfaces. The general three-dimensional problem can be formulated in different ways. The scalar potential method is also used for the computer-aided analysis of eddy-current problems of conventional and superconducting electric machines.


Author's manuscript; originally published in IEEE Transactions on Magnetics, Vol. MAG-12, No. 6, pp.1045-46, November 1976


eddy currents, scalar potential method, magnetic charges, linear equations, nonlinear equations, mathematical simulation

Subject Categories

Magnetic fields, Electromagnetic devices


Electromagnetics and photonics



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