Data-Driven Flow and Injection Estimation in PMU-Unobservable Transmission Systems

Fuente: arXiv
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Main Authors: Sahoo, Satyaprajna, Sifat, Anwarul Islam, Pal, Anamitra
Format: Preprint
Published: 2022
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author Sahoo, Satyaprajna
Sifat, Anwarul Islam
Pal, Anamitra
author_facet Sahoo, Satyaprajna
Sifat, Anwarul Islam
Pal, Anamitra
contents Fast and accurate knowledge of power flows and power injections is needed for a variety of applications in the electric grid. Phasor measurement units (PMUs) can be used to directly compute them at high speeds; however, a large number of PMUs will be needed for computing all the flows and injections. Similarly, if they are calculated from the outputs of a linear state estimator, then their accuracy will deteriorate due to the quadratic relationship between voltage and power. This paper employs machine learning to perform fast and accurate flow and injection estimation in power systems that are sparsely observed by PMUs. We train a deep neural network (DNN) to learn the mapping function between PMU measurements and power flows/injections. The relation between power flows and injections is incorporated into the DNN by adding a linear constraint to its loss function. The results obtained using the IEEE 118-bus system indicate that the proposed approach performs more accurate flow/injection estimation in severely unobservable power systems compared to other data-driven methods.
format Preprint
id arxiv_https___arxiv_org_abs_2212_04560
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Data-Driven Flow and Injection Estimation in PMU-Unobservable Transmission Systems
Sahoo, Satyaprajna
Sifat, Anwarul Islam
Pal, Anamitra
Systems and Control
Fast and accurate knowledge of power flows and power injections is needed for a variety of applications in the electric grid. Phasor measurement units (PMUs) can be used to directly compute them at high speeds; however, a large number of PMUs will be needed for computing all the flows and injections. Similarly, if they are calculated from the outputs of a linear state estimator, then their accuracy will deteriorate due to the quadratic relationship between voltage and power. This paper employs machine learning to perform fast and accurate flow and injection estimation in power systems that are sparsely observed by PMUs. We train a deep neural network (DNN) to learn the mapping function between PMU measurements and power flows/injections. The relation between power flows and injections is incorporated into the DNN by adding a linear constraint to its loss function. The results obtained using the IEEE 118-bus system indicate that the proposed approach performs more accurate flow/injection estimation in severely unobservable power systems compared to other data-driven methods.
title Data-Driven Flow and Injection Estimation in PMU-Unobservable Transmission Systems
topic Systems and Control
url https://arxiv.org/abs/2212.04560