A method and a system of control of power consumption of communications between electrical modules of an electrical infrastructure, including a star-shaped communication network between a central module, or master module, and a set of slave modules, the master module being set up to be connected to the slave modules by non-wireline communications links in a star pattern, and a processing circuit set up to regulate the power levels of communications links at least in a direction of reception by the master module from at least one slave module or by at least one slave module from the master module.