Single-source surface integral equations for modelling eddy currents and skin effects

An integral equation, satisfied by a single unknown surface current density is formulated for the two-dimensional analysis of the quasistationary time-harmonic fields in the presence of induced solid conductors.; This is an alternative to the coupled boundary integral equations formulated in terms of two unknowns, the magnetic vector potential and its normal derivative over each conductor surface.; The accuracy of the results computed by the proposed solution method is demonstrated by comparison with results from the exact analytical method and those obtained from the existing boundary integral equation solutions. Significant reductions in the computation time are achieved.; A new surface integral formulation for quasistationary electromagnetic fields in systems of multiply connected and/or layered solid conductors leads to an equation satisfied by a single unknown function defined only over one of the conductor interfaces. The amount of computation needed for the field solution is substantially smaller than that required by existent coupled boundary integral techniques where two unknown functions over all the conductor interfaces are used. For systems of identical hollow and/or layered conductors, the method is extremely efficient due to the fact that the reduction algorithm needs to be performed only for one of the conductors.; A single-source surface integral equation for eddy current problems is also constructed for axisymmetric conductors. Due to the axisymmetry, the dimensionality of the problem is reduced by one.