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Distributed Lagrangian Method for Tie-Line Scheduling in Power Grids under Uncertainty

Published: 11 October 2017 Publication History

Abstract

System operators (SOs) manage the grid and its assets in different parts (areas) of an interconnected power network. One would ideally seek to co-optimize the grid assets across multiple areas by solving a centralized optimization problem. Gathering the dispatch cost structures and the network constraints from all areas for a centralized solution remains difficult due to technical, historical, and sometimes legal barriers. Motivated by the need for a distributed solution architecture for multi-area power systems, we propose a distributed Lagrangian algorithm in this paper.We establish convergence rates for our algorithm that solves the deterministic tie-line scheduling problem as well as its robust variant (with policy space approximations). Our algorithm does not need any form of central coordination. We illustrate its efficacy on IEEE test systems.

References

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Cited By

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  • (2023)Reconstruction Optimization of Economic Operation of Distribution Network Based on Data Mining Algorithm2023 IEEE 4th Annual Flagship India Council International Subsections Conference (INDISCON)10.1109/INDISCON58499.2023.10269804(01-06)Online publication date: 5-Aug-2023
  • (2021)Distributed Resource Allocation Over Dynamic Networks With UncertaintyIEEE Transactions on Automatic Control10.1109/TAC.2020.304124866:9(4378-4384)Online publication date: Sep-2021
  • (2019)Convergence of the Iterates in Mirror Descent MethodsIEEE Control Systems Letters10.1109/LCSYS.2018.28548893:1(114-119)Online publication date: Jan-2019
  • Show More Cited By
  1. Distributed Lagrangian Method for Tie-Line Scheduling in Power Grids under Uncertainty

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    Information & Contributors

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    Published In

    cover image ACM SIGMETRICS Performance Evaluation Review
    ACM SIGMETRICS Performance Evaluation Review  Volume 45, Issue 2
    Setember 2017
    131 pages
    ISSN:0163-5999
    DOI:10.1145/3152042
    Issue’s Table of Contents

    Publisher

    Association for Computing Machinery

    New York, NY, United States

    Publication History

    Published: 11 October 2017
    Published in SIGMETRICS Volume 45, Issue 2

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    View all
    • (2023)Reconstruction Optimization of Economic Operation of Distribution Network Based on Data Mining Algorithm2023 IEEE 4th Annual Flagship India Council International Subsections Conference (INDISCON)10.1109/INDISCON58499.2023.10269804(01-06)Online publication date: 5-Aug-2023
    • (2021)Distributed Resource Allocation Over Dynamic Networks With UncertaintyIEEE Transactions on Automatic Control10.1109/TAC.2020.304124866:9(4378-4384)Online publication date: Sep-2021
    • (2019)Convergence of the Iterates in Mirror Descent MethodsIEEE Control Systems Letters10.1109/LCSYS.2018.28548893:1(114-119)Online publication date: Jan-2019
    • (2018)Convergence Rate of Distributed Consensus with Nonuniform Delays2018 52nd Asilomar Conference on Signals, Systems, and Computers10.1109/ACSSC.2018.8645450(1294-1298)Online publication date: Oct-2018

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