Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
skip to main content
10.1145/3208903.3208921acmconferencesArticle/Chapter ViewAbstractPublication Pagese-energyConference Proceedingsconference-collections
research-article

Distributed chance-constrained optimal power flow based on primary frequency control

Published: 12 June 2018 Publication History

Abstract

We propose a fully distributed algorithm to solve the Chance Constrained Optimal Power Flow (CCOPF), with the advantages of ensuring the privacy and autonomy of the different operators and actors of the system. We present, in this paper, a two-step algorithm that, first, carries out a distributed sensitivity analysis to obtain the generalized generation distribution factors. With these sensitivity factors, the second step solves a distributed CCOPF based on an analytical formulation relying on the Primary Frequency Control (PFC) of generators and on wind farms, whose forecast errors are assumed to be Gaussian. This algorithm allows us to schedule margins and reserves to ensure the security of the system regarding wind farms deviation from forecast with probabilistic guarantees, and to assess the cost of this uncertainty. The proposed method has been implemented and tested on a two-bus test system with one wind farm, and on the IEEE 14-bus test system, with two wind farms. Simulation results showed that the proposed algorithm can efficiently solve the CCOPF in a fully distributed manner.

References

[1]
Fabio Bellifemine, Federico Bergenti, Giovanni Caire, and Agostino Poggi. 2005. JADE - A Java Agent Development Framework. In Multi-Agent Programming: Languages, Platforms and Applications. 125--147.
[2]
Daniel Bienstock, Michael Chertkov, and Sean Harnett. 2014. Chance-constrained optimal power flow: Risk-aware network control under uncertainty. SIAM Rev. 56, 3 (2014), 461--495.
[3]
Stephen Boyd, Neal Parikh, Eric Chu, Borja Peleato, and Jonathan Eckstein. 2011. Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers. Foundations and Trends in Machine Learning 3, 1 (2011), 1--122.
[4]
Mircea Eremia and Mohammad Shahidehpour. 2013. Handbook of electrical power system dynamics: modeling, stability, and control. Vol. 92. John Wiley & Sons.
[5]
Michael Grant and Stephen Boyd. 2008. Graph implementations for nonsmooth convex programs. In Recent Advances in Learning and Control, V. Blondel, S. Boyd, and H. Kimura (Eds.). Springer-Verlag Limited, 95--110. http://stanford.edu/~boyd/graph_dcp.html.
[6]
Michael Grant and Stephen Boyd. 2014. CVX: Matlab Software for Disciplined Convex Programming, version 2.1. http://cvxr.com/cvx. (March 2014).
[7]
Ali Hassan, Yury Dvorkin, Deepjyoti Deka, and Michael Chertkov. 2017. Chance-constrained ADMM approach for decentralized control of distributed energy resources. arXiv preprint arXiv:1710.09738 (2017).
[8]
Amin Kargarian, Javad Mohammadi, Junyao Guo, Sambuddha Chakrabarti, Masoud Barati, Gabriela Hug, Soummya Kar, and Ross Baldick. 2016. Toward distributed/decentralized DC optimal power flow implementation in future electric power systems. IEEE Transactions on Smart Grid (2016).
[9]
David Kempe, Alin Dobra, and Johannes Gehrke. 2003. Gossip-based computation of aggregate information. In Foundations of Computer Science, 2003. Proceedings. 44th Annual IEEE Symposium on. IEEE, 482--491.
[10]
Matt Kraning, Eric Chu, Javad Lavaei, and Stephen P. Boyd. 2014. Dynamic Network Energy Management via Proximal Message Passing. Foundations and Trends in Optimization 1, 2 (2014), 73--126.
[11]
Bowen Li and Johanna L Mathieu. 2015. Analytical reformulation of chance-constrained optimal power flow with uncertain load control. In PowerTech, 2015 IEEE Eindhoven. IEEE, 1--6.
[12]
Zhigang Li, Mohammad Shahidehpour, Wenchuan Wu, Bo Zeng, Boming Zhang, and Weiye Zheng. 2015. Decentralized multiarea robust generation unit and tie-line scheduling under wind power uncertainty. IEEE Transactions on Sustainable Energy 6, 4 (2015), 1377--1388.
[13]
Z. Li, W. Wu, B. Zeng, M. Shahidehpour, and B. Zhang. 2016. Decentralized Contingency-Constrained Tie-Line Scheduling for Multi-Area Power Grids. IEEE Transactions on Power Systems (2016), 1--14.
[14]
Kostas Margellos, Paul Goulart, and John Lygeros. 2014. On the Road Between Robust Optimization and the Scenario Approach for Chance Constrained Optimization Problems. IEEE Trans. Automat. Contr. 59, 8 (2014), 2258--2263.
[15]
MATLAB. 2014. version 7.10.0 (R2014a). The MathWorks Inc., Natick, Massachusetts.
[16]
Wai Y Ng. 1981. Generalized generation distribution factors for power system security evaluations. IEEE Transactions on Power Apparatus and Systems 3 (1981), 1001--1005.
[17]
Line Roald, Frauke Oldewurtel, Thilo Krause, and Goran Andersson. 2013. Analytical reformulation of security constrained optimal power flow with probabilistic constraints. PowerTech (POWERTECH) (2013).
[18]
Paul Scott and Sylvie Thiébaux. 2015. Distributed Multi-Period Optimal Power Flow for Demand Response in Microgrids. In Proceedings of the 2015 ACM Sixth International Conference on Future Energy Systems, e-Energy 2015, Bangalore, India, July 14-17, 2015. 17--26.
[19]
Maxime Velay, Meritxell Vinyals, Yvon Besanger, and Nicholas Retière. 2017. Agent-based Security Constrained Optimal Power Flow with primary frequency control. In EUMAS 2017 - Proceedings of the Fiftheen European Workshop on Multi-Agent Systems, Évry, France, December 14-15, 2017. To appear.
[20]
Yamin Wang, Shouxiang Wang, and Lei Wu. 2017. Distributed optimization approaches for emerging power systems operation: A review. Electric Power Systems Research 144 (2017), 127--135.

Index Terms

  1. Distributed chance-constrained optimal power flow based on primary frequency control

    Recommendations

    Comments

    Information & Contributors

    Information

    Published In

    cover image ACM Conferences
    e-Energy '18: Proceedings of the Ninth International Conference on Future Energy Systems
    June 2018
    657 pages
    ISBN:9781450357678
    DOI:10.1145/3208903
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than the author(s) must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected].

    Sponsors

    Publisher

    Association for Computing Machinery

    New York, NY, United States

    Publication History

    Published: 12 June 2018

    Permissions

    Request permissions for this article.

    Check for updates

    Author Tags

    1. ADMM
    2. Chance-constrained
    3. OPF
    4. reserves
    5. uncertainty

    Qualifiers

    • Research-article
    • Research
    • Refereed limited

    Conference

    e-Energy '18
    Sponsor:

    Acceptance Rates

    Overall Acceptance Rate 160 of 446 submissions, 36%

    Upcoming Conference

    E-Energy '25

    Contributors

    Other Metrics

    Bibliometrics & Citations

    Bibliometrics

    Article Metrics

    • 0
      Total Citations
    • 106
      Total Downloads
    • Downloads (Last 12 months)1
    • Downloads (Last 6 weeks)0
    Reflects downloads up to 23 Dec 2024

    Other Metrics

    Citations

    View Options

    Login options

    View options

    PDF

    View or Download as a PDF file.

    PDF

    eReader

    View online with eReader.

    eReader

    Media

    Figures

    Other

    Tables

    Share

    Share

    Share this Publication link

    Share on social media