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A stochastic approach to estimate distribution grid state with confidence regions

2024/04/24 by Rasmus Løvenstein Olsen, Olsen, Rasmus L., Sina Hassani +7 · 1 citation
Engineering · #Applications (stat.AP) #Energy Load and Power Forecasting #FOS: Computer and information sciences #Optimal Power Flow Distribution #Power System Reliability and Maintenance

paper · pdf · doi:10.48550/arxiv.2404.15722

openalex publication_date 2024/04/24 · openalex created_date 2024/04/26 · openalex updated_date 2026/07/28

Abstract

Widely available measurement equipment in electrical distribution grids, such as power-quality measurement devices, substation meters, or customer smart meters do not provide phasor measurements due to the lack of high resolution time synchronisation. Instead such measurement devices allow to obtain magnitudes of voltages and currents and the local phase angle between those. In addition, these measurements are subject to measurement errors of up to few percent of the measurand. In order to utilize such measurements for grid monitoring, this paper presents and assesses a stochastic grid calculation approach that allows to derive confidence regions for the resulting current and voltage phasors. Two different metering models are introduced: a PMU model, which is used to validate theoretical properties of the estimator, and an Electric Meter model for which a Gaussian approximation is introduced. The estimator results are compared for the two meter models and case study results for a real Danish distribution grid are presented.

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