Skip to main content
SpringerLink
Log in

Fixed-Time Consensue-Based Scheme for Economic Dispatch of Smart Grid

  • Conference paper
  • First Online:
Proceedings of 2017 Chinese Intelligent Systems Conference (CISC 2017)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 459))

Included in the following conference series:

Abstract

In this paper, we introduce a new economic dispatch strategy to solve the energy management problem in a smart grid which is a distributed and cooperative method. Different from the existing works, this paper aims to achieve the optimization in a settling time. The balance between supply and demand constraint can be kept during the computing time. Then, it is demonstrated that the total cost can reach it’s minimal value in the settling time with initial values satisfied the balance constraint. Finally, we verify the effectiveness of the theoretical result with a numerical simulation.

This work was partially supported by the National Natural Science Foundation of China under Grants 61673303, 61572208, 61572210, and 61672244.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Attaviriyanupap P, Kita H, Tanaka E, Hasegawa J. A hybrid EP and SQP for dynamic economic dispatch with nonsmooth fuel cost function. IEEE Trans Power Syst. 2002;17(2):411–6.

    Article  Google Scholar 

  2. Gaing ZL. Particle swarm optimization to solving the economic dispatch considering the generator constraints. IEEE Trans Power Syst. 2003;18(3):1187–95.

    Article  Google Scholar 

  3. Park JB, Lee KS, Shin JR, et al. A particle swarm optimization for economic dispatch with nonsmooth cost functions. IEEE Trans Power Syst. 2005;20(1):34–42.

    Article  Google Scholar 

  4. Park JB, Lee KS, Shin JR, et al. Convergence analysis of the incremental cost consensus algorithm under different communication network topologies in a smart grid. IEEE Trans Power Syst. 2012;27(4):1761–8.

    Article  Google Scholar 

  5. Rahbari-Asr N, Ojha U, Zhang Z, et al. Incremental welfare consensus algorithm for cooperative distributed generation/demand response in smart grid. IEEE Trans Power Syst. 2014;5(6):2836–45.

    Google Scholar 

  6. Yang SP, Tan SC, Xu JX. Consensus based approach for economic dispatch problem in a smart grid. IEEE Trans Power Syst. 2013;28(4):4416–26.

    Article  Google Scholar 

  7. Alejandro J, Arce A, Bordons C. Combined environmental and economic dispatch of smart grids using distributed model predictive control. Int J Electr Power Energy Syst. 2014;54(6):65–76.

    Google Scholar 

  8. Tan Z, Yang P, Nehorai A. An optimal and distributed demand response strategy with electric vehicles in the smart grid. IEEE Trans Power Syst. 2014;5(2):861–9.

    Google Scholar 

  9. Bhat SP, Bernstein DS. Continuous finite-time stabilization of the translational and rotational double integrators. IEEE Trans Autom Control. 1998;43(5):678–82.

    Article  MathSciNet  MATH  Google Scholar 

  10. Wang X, Hong Y. Finite-time consensus for multi-agent networks with second-order agent dynamics. Proc IFAC World Congr. 2008;41(2):15185–90.

    Google Scholar 

  11. Polyakov A. Nonlinear feedback design for fixed-time stabilization of linear control systems. IEEE Trans Autom Control. 2012;57(8):2106–10.

    Article  MathSciNet  MATH  Google Scholar 

  12. Zuo ZY. Nonsingular fixed-time consensus tracking for second-order multi-agent networks. Automatica. 2015;54:305–9.

    Article  MathSciNet  MATH  Google Scholar 

  13. Guan ZH, Han GS, Li J, et al. Impulsive multiconsensus of second-order multiagent networks using sampled position data. IEEE Trans Neural Netw Learn Syst. 2015;26(11):2678–88.

    Article  MathSciNet  Google Scholar 

  14. Liu ZW, Yu XH, Guan ZH, et al. Pulse-modulated intermittent control in consensus of multiagent systems. IEEE Trans Syst Man Cybern Syst. 2017;47(5):783–93.

    Article  Google Scholar 

  15. Fax JA, Murray RM. Information flow and cooperative control of vehicle formations. IEEE Trans Autom Control. 2004;49(9):1465–76.

    Article  MathSciNet  MATH  Google Scholar 

  16. Ren W, Atkins E. Distributed multi-vehicle coordinated control via local information exchange. Int J Robust Nonlinear Control. 2007;17(10–11):1002–33.

    Article  MathSciNet  MATH  Google Scholar 

  17. Yu WW, Li CJ, Yu XH, et al. Distributed consensus strategy for economic power dispatch in a smart grid. In: Proceedings of 10th Asian Control Conference;2015, p. 1–6.

    Google Scholar 

  18. Vidyasagar M. Nonlinear systems analysis. Englewood Cliffs, NJ, USA: Prentice-Hall; 1993.

    MATH  Google Scholar 

  19. Zuo ZY, Tie L. Distributed robust finite-time nonlinear consensus protocols for multi-agent systems. Int J Syst Sci. 2016;47(6):1366–75.

    Article  MathSciNet  MATH  Google Scholar 

  20. Wen GH, Yu WW, Yu XH, et al. Designing adaptive consensus-based scheme for economic dispatch of smart grid. In: 2016 eighth international conference on advanced computational intelligence; 2016

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. College of Automation, Huazhong University of Science and Technology, Wuhan, 430074, People’s Republic of China

    Peng Lei, Zhi-Wei Liu, Ming Chi, Ding-Xin He & Zhi-Hong Guan

Authors
  1. Peng Lei
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Zhi-Wei Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Ming Chi
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Ding-Xin He
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Zhi-Hong Guan
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to Ming Chi or Ding-Xin He .

Editor information

Editors and Affiliations

  1. Beihang University , Beijing, China

    Yingmin Jia

  2. Beijing University of Posts and Telecommunications, Beijing, China

    Junping Du

  3. University of Science and Technology Beijing, Beijing, China

    Weicun Zhang

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer Nature Singapore Pte Ltd.

About this paper

Cite this paper

Lei, P., Liu, ZW., Chi, M., He, DX., Guan, ZH. (2018). Fixed-Time Consensue-Based Scheme for Economic Dispatch of Smart Grid. In: Jia, Y., Du, J., Zhang, W. (eds) Proceedings of 2017 Chinese Intelligent Systems Conference. CISC 2017. Lecture Notes in Electrical Engineering, vol 459. Springer, Singapore. https://doi.org/10.1007/978-981-10-6496-8_35

Download citation

  • DOI: https://doi.org/10.1007/978-981-10-6496-8_35

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-6495-1

  • Online ISBN: 978-981-10-6496-8

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation