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Real-Time Line Parameter Estimation Method for Multi-Phase Unbalanced Distribution Networks

Sakirat Wolly, Xiaozhe Wang

TL;DR

This work introduces a real-time, two-stage line parameter estimation framework for multiphase unbalanced distribution networks using a multivariate Ornstein-Uhlenbeck (OU) process and a Broyden diagonal updates scheme. It leverages PMU measurements and a dynamic load model to first recover initial line parameters $G_{ij}^*$ and $B_{ij}^*$ via $ abla A$ estimation and WLS, then refines them with a Broyden-based update using power injection sensitivities. validated on an IEEE 13-bus network with real load and PV data, the method achieves accurate parameter estimates while delivering 1–2 orders of magnitude faster computation than Lasso-based alternatives, enabling online monitoring and control for grids with high DER penetration. The approach thus offers a scalable, data-driven avenue for real-time grid identification and operational decision support.

Abstract

An accurate distribution network model is crucial for monitoring, state estimation and energy management. However, existing data-driven methods often struggle with scalability or impose a heavy computational burden on large distribution networks. In this paper, leveraging natural load dynamics, we propose a two-stage line estimation method for multiphase unbalanced distribution networks. Simulation results using real-life load and PV data show that the proposed method reduces computational time by one to two orders of magnitude compared to existing methods.

Real-Time Line Parameter Estimation Method for Multi-Phase Unbalanced Distribution Networks

TL;DR

This work introduces a real-time, two-stage line parameter estimation framework for multiphase unbalanced distribution networks using a multivariate Ornstein-Uhlenbeck (OU) process and a Broyden diagonal updates scheme. It leverages PMU measurements and a dynamic load model to first recover initial line parameters and via estimation and WLS, then refines them with a Broyden-based update using power injection sensitivities. validated on an IEEE 13-bus network with real load and PV data, the method achieves accurate parameter estimates while delivering 1–2 orders of magnitude faster computation than Lasso-based alternatives, enabling online monitoring and control for grids with high DER penetration. The approach thus offers a scalable, data-driven avenue for real-time grid identification and operational decision support.

Abstract

An accurate distribution network model is crucial for monitoring, state estimation and energy management. However, existing data-driven methods often struggle with scalability or impose a heavy computational burden on large distribution networks. In this paper, leveraging natural load dynamics, we propose a two-stage line estimation method for multiphase unbalanced distribution networks. Simulation results using real-life load and PV data show that the proposed method reduces computational time by one to two orders of magnitude compared to existing methods.

Paper Structure

This paper contains 13 sections, 20 equations, 5 figures, 2 tables, 1 algorithm.

Figures (5)

  • Figure 1: IEEE $13$-bus Test Feeder (Number of slashes = Number of phases connecting two nodes.)
  • Figure 2: Estimation Error for Conductance: Case I
  • Figure 3: Estimation Error for Susceptance: Case I
  • Figure 4: Estimation Error for Conductance: Case II
  • Figure 5: Estimation Error for Susceptance: Case II