Abstract: A system for determining a linear state estimation of a power distribution network. The system includes a plurality of metering devices, a plurality of power sources, each of the plurality of power sources coupled to a respective metering device, and a plurality of collection devices, each of the plurality of collection devices in electronic communication with a respective metering device. The plurality of collection devices measure an Advanced Metering Infrastructure (AMI) dataset and calculate a phase angle of the power source coupled to the metering device. The system includes a host device in electronic communication with the plurality of collection devices. An electronic processor of the host device receives the AMI dataset and the phase angle of the plurality of metering devices, determines the linear state estimation of the power distribution network based on the phase angle and the AMI dataset, and identifies information associated with the power distribution network.