The medium voltage power line carrier channel exhibits strong frequency selectivity. In order to analyze and predict this selectivity

this paper proposes a channel model for power line carrier communication based on the BLT equation. Combining the common BLT equation describing a single load voltage response

the channel model is deduced by analyzing the propagation characteristics of the carrier signal in the complex network. Without the limitation of specific network topology

this model can express the voltage response characteristic at each node in the network as a function of the pipe propagation matrix and the node scattering matrix. It has the advantages of simple form

strong versatility

and easy analysis and calculation. Finally

taking the medium-voltage distribution network consisting of overhead lines as an example

the voltage amplitude-frequency and phase-frequency characteristics at each node are calculated by using the proposed method. And the correctness of the model is verified by simulation with lumped parameter component in PSpice.