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The analysis of electric fields in insulation systems containing conductive materials such as surface contaminations or grading tapes requires the solution of the complex Laplace equation. This paper presents two techniques of modeling thin conductive layers on the insulation of high voltage electric machines with electrodynamic finite element simulations. Case studies are performed to illustrate the benefits of employing finite element techniques to resolve failures due to contaminated conditions of high voltage windings and to optimize the grading systems to achieve minimum stress concentrations.