Skip to main content
SpringerLink
Log in

The Influence of Time Delays on Decentralized Economic Dispatch by Using Incremental Cost Consensus Algorithm

  • Chapter
  • First Online:
Control and Optimization Methods for Electric Smart Grids

Part of the book series: Power Electronics and Power Systems ((PEPS,volume 3))

Abstract

In a smart grid, robust energy management algorithms should have the ability to operate correctly in the presence of unreliable communication capabilities, and often in the absence of a central control mechanism. Effective distributed control algorithms could be embedded in distributed controllers to properly allocate electrical power among connected buses autonomously. By selecting the incremental cost of each generation unit as the consensus variable, the incremental cost consensus (ICC) algorithm is able to solve the conventional centralized economic dispatch problem (EDP) in a distributed manner. However, the communication time-delay may cause instability of the system and should be considered during the design process. The mathematical formulation of the ICC algorithm with time-delay is presented in this chapter. Several case studies are also presented to show the system characteristics of the ICC algorithm with time-delay.

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 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
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. Paudyal S, Canizares C, Bhattacharya K (2011) Optimal operation of distribution feeders in smart grids. IEEE Trans Ind Electron 58(10):4495–4503

    Article  Google Scholar 

  2. Bruno S, Lamonaca S, Rotondo G et al (2011) Unbalanced three-phase optimal power flow for smart grids. IEEE Trans Ind Electron 58(10):4504–4513

    Article  Google Scholar 

  3. Hedman KW, Ferris MC, O’Neill RP et al (2010) Co-optimization of generation unit commitment and transmission switching with N-1 reliability. IEEE Trans Power Syst 25(2):1052–1063

    Article  Google Scholar 

  4. Park J-B, Jeong Y-W, Shin J-R et al (2010) An improved particle swarm optimization for nonconvex economic dispatch problems. IEEE Trans Power Syst 25(1):156–166

    Article  Google Scholar 

  5. Varaiya PP, Wu FF, Bialek JW (2011) Smart operation of smart grid: risk-limiting dispatch. Proc IEEE 99(1):40–57

    Article  Google Scholar 

  6. Chen S, Gooi H (2011) Jump and shift method for multi-objective optimization. IEEE Trans Ind Electron 58(10):4538–4548

    Article  Google Scholar 

  7. Ramachandran B, Srivastava SK, Edrington CS et al (2011) An intelligent auction scheme for smart grid market using a hybrid immune algorithm. IEEE Trans Ind Electron 58(10):4603–4612

    Article  Google Scholar 

  8. Hedman KW, O’Neill RP, Fisher EB et al (2011) Smart flexible just-in-time transmission and flowgate bidding. IEEE Trans Power Syst 26(1):93–102

    Article  Google Scholar 

  9. Gupta RA, Chow M-Y (2010) Networked control system: overview and research trends. IEEE Trans Ind Electron 57(7):2527–2535

    Article  Google Scholar 

  10. D’Andrea R, Dullerud GE (2003) Distributed control design for spatially interconnected systems. IEEE Trans Autom Control 48(9):1478–1495

    Article  MathSciNet  Google Scholar 

  11. Huang AQ, Crow ML, Heydt GT et al (2011) The future renewable electric energy delivery and management (FREEDM) system: the energy internet. Proc IEEE 99(1):133–148

    Article  Google Scholar 

  12. Dimeas AL, Hatziargyriou ND (2007) Agent-based control for microgrids. Power engineering society general meeting, IEEE, 24–28 June 2007

    Google Scholar 

  13. Suryanarayanan S, Mitra J, Biswas S (2010) A conceptual framework of a hierarchically networked agent-based microgrid architecture. Transmission and distribution conference and exposition. IEEE PES, 19–22 April 2010

    Google Scholar 

  14. Olfati-Saber R, Fax JA, Murray RM (2007) Consensus and cooperation in networked multi-agent systems. Proc IEEE 95(1):215–233

    Article  Google Scholar 

  15. Ren W, Beard RW (2008) Distributed consensus in multi-vehicle cooperative control. Springer

    Google Scholar 

  16. Zhang Z, Chow M-Y (2011) Incremental cost consensus algorithm in a smart grid environment. Power and energy society general meeting, IEEE, 24–29 July 2011

    Google Scholar 

  17. Zhang Z, Ying X, Chow M-Y (2011) Decentralizing the economic dispatch problem using a two-level incremental cost consensus algorithm in a smart grid environment. North American power symposium, pp 4–6 August 2011

    Google Scholar 

  18. Zhang Z, Chow M-Y (2011) The leader election criterion for decentralized economic dispatch using incremental cost consensus algorithm. IEEE industrial electronics society annual conference, pp 7–20 November 2011, accepted

    Google Scholar 

  19. Gibbons A (1985) Algorithmic graph theory. Cambridge University Press, Cambridge

    MATH  Google Scholar 

  20. Olfati-Saber R, Murray RM (2004) Consensus problems in networks of agents with switching topology and time-delays. IEEE Trans Autom Control 49(9):1520–1533

    Article  MathSciNet  Google Scholar 

  21. Wang L, Xiao F (2006) A new approach to consensus problems for discrete-time multiagent systems with time-delays. Am Control Conf 2006:14–16

    Google Scholar 

  22. Kingston DB, Beard RW (2006) Discrete-time average-consensus under switching network topologies. Am Control Conf 3551–3556

    Google Scholar 

Download references

Acknowledgements

These works were partially supported by the National Science Foundation (NSF) under Award Number EEC-08212121.

Author information

Authors and Affiliations

  1. Department of Electrical and Computer Engineering, North Carolina State University, Raleigh, NC, 27606, USA

    Ziang Zhang & Mo-Yuen Chow

Authors
  1. Ziang Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Mo-Yuen Chow
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ziang Zhang .

Editor information

Editors and Affiliations

  1. , Electrical and Computer Engineering, North Carolina State University, Keystone Bldg 100-26, Raleigh, 27695, North Carolina, USA

    Aranya Chakrabortty

  2. , Electrical & Computer Engineering, Carnegie Mellon University, Forbes Ave. 5000, Pittsburgh, 15213-3890, Pennsylvania, USA

    Marija D. Ilić

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer Science+Business Media, LLC

About this chapter

Cite this chapter

Zhang, Z., Chow, MY. (2012). The Influence of Time Delays on Decentralized Economic Dispatch by Using Incremental Cost Consensus Algorithm. In: Chakrabortty, A., Ilić, M. (eds) Control and Optimization Methods for Electric Smart Grids. Power Electronics and Power Systems, vol 3. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-1605-0_16

Download citation

  • DOI: https://doi.org/10.1007/978-1-4614-1605-0_16

  • Published:

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-1604-3

  • Online ISBN: 978-1-4614-1605-0

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation