System and method of linear state estimation of a distribution network from synchronous smart meter and line sensor

A method for determining a linear state estimation of a power distribution network, wherein the power distribution network includes a plurality of metering devices;

• a plurality of power sources, wherein each one of the plurality of power sources is coupled to a respective metering device of the plurality of metering devices;
• a plurality of collection devices, wherein each of the plurality of collection devices is in electronic communication with a respective metering device of the plurality of metering devices;
• and a host device in electronic communication with the plurality of collection devices, the host device including a memory and an electronic processor, the method comprising:
• measuring, via the plurality of collection devices, an Advanced Metering Infrastructure (AMI) dataset of the power source coupled to the metering device;
• calculating, via the plurality of collection devices, a phase angle of the power source coupled to the metering device;
• receiving, via the host device, the AMI dataset and the phase angle of at least one of the plurality of metering devices;
• determining, via the host device, the linear state estimation of the power distribution network based on the phase angle and the AMI dataset;
• and
• identifying, via the host device, information associated with the power distribution network based on the linear state estimation.