A Two-Step Approach for Multi-topology Identification and Parameter Estimation of Power Distribution Networks

To improve observability in power distribution networks (PDN), a two-step framework of multi-topology identification and parameter estimation is proposed in this paper. Specifically, in the first step, a mixed-integer linear program (MILP) model-based split method is proposed to recognize mixed topologies in a multi-record dataset without a prerequisite on the number of topology categories and values of nodal voltage phase angles. In the second step, line parameters and nodal voltage phase angles are estimated using the Newton-Raphson method based on nodal measurements of real and reactive power injections, as well as voltage magnitudes. Furthermore, a modified estimation model is proposed to apply to the multi-topology dataset. Finally, case studies on an IEEE 33-bus system illustrate the effectiveness of the proposed models in identifying the PDN's topologies, as well as estimating line parameters and voltage phase angles.