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Recently, the particle swarm optimization evolutionary approach has been successfully utilized in field computation for devices involving nonlinear magnetic media. The purpose of this paper is to extend the aforementioned approach toward the solution of time-harmonic field problems. More specifically, unknown time-step vector magnetic potentials leading to the minimization of the energy functional are computed in an evolutionary mechanism to determine instantaneous field components. The proposed approach has been implemented and utilized for different supply frequencies, field amplitudes, and media characteristics. Details of the approach as well as comparisons with finite-element computations demonstrating the accuracy of the approach are given in the paper.