# A Probabilistic Approach to Power System State Estimation using a Linear   Algorithm

**Authors:** Martin R. Wagner, Marko Jereminov, Amritanshu Pandey, Larry Pileggi

arXiv: 1905.00329 · 2019-05-02

## TL;DR

This paper introduces a linear, probabilistic power system state estimation method that integrates RTU and PMU measurements within an equivalent circuit framework, enhancing robustness and practical applicability.

## Contribution

It presents a novel fully linear state estimation algorithm combining RTU and PMU data using an equivalent circuit approach, enabling probabilistic analysis.

## Key findings

- The method is practical for real-world applications.
- It improves robustness of power system state estimation.
- The approach effectively integrates different measurement types.

## Abstract

An equivalent circuit formulation for power system analysis was demonstrated to improve robustness of Power Flow and enable more generalized modeling, including that for RTUs (Remote Terminal Units) and PMUs (Phasor Measurement Units). These measurement device models, together with an adjoint circuit based optimization framework, enable an alternative formulation to Power System State Estimation (SE) that can be solved within the equivalent circuit formulation. In this paper, we utilize a linear RTU model to create a fully linear SE algorithm that includes PMU and RTU measurements to enable a probabilistic approach to SE. Results demonstrate that this is a practical approach that is well suited for real-world applications.

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Source: https://tomesphere.com/paper/1905.00329