Distributed newton method for computing real decoupled power flow in lossy electric energy networks

This work presents a distributed method for calculating real decoupled power flow problems by drawing on the distributed Newton method for optimization in transportation problems. Transmission lines with non-zero resistance, and therefore, real power line losses, create two different flow values at each end of the line, which becomes inconsistent with the model presented for transportation type problems. However, modeling a lossy line as a lossless line with shunts allows the model to treat a transmission line as having one flow variable and one loss variable. This is critical to extending these types of algorithms to AC power flow, where reactive power loss is not as negligible as resistive loss. A simple two bus example is presented to demonstrate how to use the algorithm, while an example on the IEEE 14 bus system is presented to show generalizable results.