Power System Loss Divider

Abstract

This letter presents an analytical closed-form expression that quantifies the contributions of nodal active- and reactive-power injections to total loss in a power system operating at sinusoidal steady state. We term this as the loss divider , since it is derived by leveraging the ubiquitous current divider law. The proposed loss divider innately embeds the dependence of system loss on both the network topology and the operating point, i.e., voltage profile. The derivation does not rely on any simplifying assumptions, and so the resulting expression delineates the exact quadratic relationship between the system loss and nodal active- and reactive-power injections.