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The 2D and 3D CAD tools for modeling planar microwave devices are developed. The full-wave 2D analysis based on Method of Moments (MoM) is used for calculation of propagation characteristics of slot- and stripmulticonductor lossy lines embedded in multilayer lossy media. The 3D analysis based on MoM allows considering an arbitrary conductor structure embedded in a multilayered anisotropic media. Two examples of simulation are given. The modeling of the structure consisting of four coupled slots in HTS film based on a bilayered substrate with a tunable upper ferroelectric layer was performed by 2D-analysis. The results of simulation are analyzed for estimation of the insertion loss for each propagation mode. The simulation by 3D-analysis of the HTS microstrip resonator based on ferrite-MgO substrate has been done. The comparison of the HTS microstrip line current distribution simulated by 2D and 3D approaches is implemented and a high accuracy of used models is demonstrated.