Second-order boundary conditions are used to simulate a three-layer coating on perfectly conducting cylindrical structures. Both E and H polarizations are considered, and integral equations are presented based on the derived conditions. A moment-method implementation of the resulting integral equations is given, and results are presented for various coatings in order to illustrate the accuracy of the higher-order conditions. The improvement that can be achieved with the proposed second-order generalized impedance boundary conditions over the standard boundary conditions is shown.