The paper presents a novel mathematical approach for assessing the phase angle displacement of voltages at nods of a power network with respect to a node taken as reference. It is accomplished without the use of a global time-reference signal, like those provided by GPS technology or through wired connections. This study origins from the growing interest of Distribution System Operators (DSOs) to deploy Distributed Synchronized Measurement Systems (DSMS) in their power networks (like, in particular, the Phasor Measurement Units) for enhancing the stability and reliability of the networks. There are circumstances where bringing a time reference signal to remote PMUs is a difficult task. The paper provides an alternative solution to evaluate phasors in Distribution lines with no need of a global time reference.