Source attributed DLMP settlement with price anticipating l 2027 Applied Ene

Demand increases at some buses can load a shared distribution network and raise distribution locational marginal prices (DLMPs) at electrically coupled locations. Other users may keep their electricity use unchanged—for example, to maintain routine production or meet basic daily needs—yet face higher local prices and bills. Direct DLMP settlement shows where network charges are borne but does not explicitly allocate baseline-to-realized price changes to individual settlement deviations, creating the exposure–source mismatch studied here. Using regularized LinDistFlow DLMPs, the proposed settlement uses an ex-ante essential-service reference to separate network-component charges into baseline and deviation-related charges and traces changes in loss, voltage, and congestion prices from affected buses to source-bus deviations. Loss-price changes are decomposed analytically, whereas voltage- and congestion-price changes are allocated through baseline-conditioned Aumann–Shapley path integrals. The rule exactly preserves the network-component settlement total; its baseline part is allocated ex ante. Explicit differentiable LinDistFlow functions for the four DLMP components provide the required sensitivities. Flexible loads are modeled as internalizing the resulting marginal responsibility charge. Source-attribution marginal feedback can make the regularized price-anticipating game nonconvex; its smooth first-order conditions are therefore formulated as an effective decision-space var.