networks (PLNs) based on the physical description of both the conducted and radiated phenomena, with particular emphasis on broad band PLC that uses a frequency spectrum in the range 2-86 MHz and is applied in complex topologies as those found in home PLC networks. Such a model enables the simulation of complex networks so that PLC algorithms that cope with both transmission and radiation losses can be tested. Eventually, it can be used to analyze the interaction of PLC with wireless communication technologies.

In order to characterize the conducted and radiated phenomena that occur along every branch of a PLN, we make use of the transmission line super theory (TLST) [@1325788]. In particular, we first consider the case of a two-wire transmission line (TL) surrounded by an homogeneous dielectric and extend the work of [@ianconescu] including both differential and common mode signaling. We derive an analytic expression of the radiated power and propose an equivalent per-unit-length (PUL) model of the cable including the radiation losses, which we name multiple transmission and radiation line (MTRL) model. This model is applicable to beyond two conductors PLC networks. A scalable representation of a PLN can thereafter be made relying on the microwave network 