A novel technique for time domain partial element equivalent circuits (PEECs) modeling is presented. The PEEC method is a well-known numerical method for creating full-wave models of interconnection structures in the frequency and time domains, which are being used for modeling electromagnetic compatibility (EMC) problems. The time domain solutions by PEEC can show the so-called late-time instabilities. Several attempts to overcome this problem have been made in the literature. The cause for instability has been revealed, and a stable time domain model has been given, however, with a reduced computational efficiency. A stable full-wave PEEC model based on a convolution macromodeling with a faster computation time is developed and tested in this paper