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Intelligent Distributed Economic Dispatch in Smart Grids

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Intelligent Systems Technologies and Applications

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 385))

Abstract

This paper considers the optimal economic dispatch of power generators in a smart electric grid for allocating power between generators to meet load requirements at a minimum total cost. We present a decentralized algorithm where, each generator independently adjusts its power output using only a measurement of the frequency deviation of the grid and minimal information exchange with its neighbors. Existing algorithms assume that frequency deviation is proportional to the load imbalance. In practice this is seldom exactly correct. We assume here that the only thing known about this relationship is that it is an unknown, odd, strictly increasing function. We provide a proof of convergence and simulations verifying the efficacy of the algorithm.

Supported in part by US NSF grants CCF-0830747 and EPS-1101284 and a grant from the Roy J. Carver Charitable Trust.

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References

  1. Chowdhury, B., Rahman, S.: A review of recent advances in economic dispatch. IEEE Transactions on Power Systems 5, 1248–1259 (1990)

    Article  Google Scholar 

  2. Mudumbai, R., Dasgupta, S., Cho, B.: Distributed control for optimal economic dispatch of power generators: the heterogenous case. In: Proc. of the IEEE CDC (2011)

    Google Scholar 

  3. Mudumbai, R., Dasgupta, S., Cho, B.: Distributed control for optimal economic dispatch of a network of heterogeneous power generators. IEEE Trans. on Power Systems, 1750–1760 (2012)

    Google Scholar 

  4. Mudumbai, R., Dasgupta, S., Mahboob, R.: A distributed consensus based algorithm for optimal dispatch in smart power grids. In: Proceedings of the 32nd IASTED International Conference on Modeling, Identification and Control (MIC), February 2013

    Google Scholar 

  5. Marvin, S., Chappells, H., Guy, S.: Pathways of smart metering development: shaping environmental innovation. Computers, Environment and Urban Systems 23(2), 109–126 (1999)

    Article  Google Scholar 

  6. Milborrow, D.: Penalties for intermittent sources of energy, p. 17. Cabinet Office, London (2001)

    Google Scholar 

  7. Dugan, R., McDermott, T.: Distributed generation. IEEE Industry Applications Magazine 8, 19–25 (2002)

    Article  Google Scholar 

  8. Rebours, Y.G., Kirschen, D.S., Trotignon, M., Rossignol, S.: A survey of frequency and voltage control ancillary services part i: Technical features. IEEE Transactions on Power Systems 22, 350–357 (2007)

    Article  Google Scholar 

  9. Wu, F., Moslehi, K., Bose, A.: Power system control centers: past, present, and future. Proceedings of the IEEE 93(11), 1890–1908 (2005)

    Article  Google Scholar 

  10. U.S.D. of Energy. Economic dispatch of electric generation capacity. A Report to Congress and the States (2007)

    Google Scholar 

  11. Vargas, L., Quintana, V., Vannelli, A.: A tutorial description of an interior point method and its applications to security-constrained economic dispatch. IEEE Transactions on Power Systems 8(3), 1315–1324 (2002)

    Article  Google Scholar 

  12. Lopes, J., Moreira, C., Madureira, A., Resende, F., Wu, X., Jayawarna, N., Zhang, Y., Jenkins, N., Kanellos, F., Hatziargyriou, N.: Control strategies for microgrids emergency operation. In: International Conference on Future Power Systems, Amsterdam, Netherlands (2005)

    Google Scholar 

  13. Amin, M., Wollenberg, B.: Toward a smart grid: power delivery for the 21st century. IEEE Power and Energy Magazine 3(5), 34–41 (2005)

    Article  Google Scholar 

  14. Saadat, H.: Power system analysis. WCB/McGraw-Hill, Boston (1999)

    Google Scholar 

  15. Mohammadi, A., Varahram, M., Kheirizad, I.: Online solving of economic dispatch problem using neural network approach and comparing it with classical method. In: International Conference on Emerging Technologies. ICET 2006, pp. 581–586. IEEE (2007)

    Google Scholar 

  16. Chen, C.: Economic dispatch using simplified personal best oriented particle swarm optimizer. In: Third International Conference on Electric Utility Deregulation and Restructuring and Power Technologies. DRPT 2008, pp. 572–576. IEEE (2008)

    Google Scholar 

  17. Yang, S., Tan, S., Xu, J.-X.: Consensus based approach for economic dispatch problem in a smart grid. IEEE Transactions on Power Systems (2013)

    Google Scholar 

  18. Bidram, A., Davoudi, A., Lewis, F., Qu, Z.: Secondary control of microgrids based on distributed cooperative control of multi-agent systems. IET Generation, Transmission Distribution 7(8) (2013)

    Google Scholar 

  19. Fathi, M., Bevrani, H.: Adaptive energy consumption scheduling for connected microgrids under demand uncertainty. IEEE Transactions on Power Delivery 28(3), 1576–1583 (2013)

    Article  Google Scholar 

  20. Dall’Anese, E., Zhu, H., Giannakis, G.: Distributed optimal power flow for smart microgrids. IEEE Transactions on Smart Grid 4(3), 1464–1475 (2013)

    Article  Google Scholar 

  21. Kraning, M., Chu, E., Lavaei, J., Boyd, S.: Dynamic network energy management via proximal message passing. Optimization 1(2), 1–54 (2013)

    Google Scholar 

  22. Aganagic, M., Mokhtari, S.: Security constrained economic dispatch using nonlinear dantzig-wolfe decomposition. IEEE Transactions on Power Systems 12, 105–112 (1997)

    Article  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  24. Ren, W., Beard, R.W.: Consensus seeking in multi-agent systems under dynamically changing interaction topologies. IEEE Trans. Autom. Control 50(5), 655–661 (2005)

    Article  MathSciNet  Google Scholar 

  25. Rahman, M.M., Mudumbai, R., Dasgupta, S.: Consensus based carrier synchronization in a two node network. In: Proceedings of IFAC World Congress 2011, Milan, Italy (2011)

    Google Scholar 

  26. Khan, U.A., Kar, S., Moura, J.M.F.: Distributed Sensor Localization in Random Environments Using Minimal Number of Anchor Nodes. IEEE Transactions on Signal Processing, 2000–2016 (2009)

    Google Scholar 

  27. Moreau, L.: Stability of multi-agent systems with time-dependent communication links. IEEE Trans. Autom. Control 50(2), 169–182 (2005)

    Article  MathSciNet  Google Scholar 

  28. Christie, R.D., Bose, A.: Load frequency control issues in power system operations after deregulation. IEEE Transactions on Power Systems, 1191–1200 (1996)

    Google Scholar 

  29. Jaleeli, N., VanSlyck, L., Ewart, D., Fink, L., Hoffmann, A.: Understanding automatic generation control. IEEE Transactions on Power Systems 7(3), 1106–1122 (1992)

    Article  Google Scholar 

  30. Clough, F.: Stability of large power systems. Journal of the Institution of Electrical Engineers 65(367), 653–659 (1927)

    Article  Google Scholar 

  31. Dobakhshari, A., Azizi, S., Ranjbar, A.: Control of microgrids: aspects and prospects. In: IEEE International Conference on Networking, Sensing and Control (ICNSC), pp. 38–43, April 2011

    Google Scholar 

  32. Sundarapandian, V.: An invariance principle of discrete-time nonlinear systems. Applied Mathematics Letters, 85–91 (2003)

    Google Scholar 

  33. Hahn, W.: Stability of motion. Springer (1967)

    Google Scholar 

  34. Mohammadi, A., Varahram, M., Kheirizad, I.: Online solving of economic dispatch problem using neural network approach and comparing it with classical method. In: International Conference on Emerging Technologies. ICET 2006, pp. 581–586. IEEE (2007). in Proc. 2003 Am. Control Conf., 2003, pp. 951956

    Google Scholar 

  35. Jadbabaie, A., Lin, J., Morse, A.S.: Coordination of groups of mobile autonomous agents using nearest neighbor rules. IEEE Trans. Autom. Control 48(6), 988–1001 (2003)

    Article  MathSciNet  Google Scholar 

  36. Lin, W., Zhixin, L., Guo, L.: Robust consensus of multi-agent systems with noise. In: Proceedings of the Chinese Control Conference (2007)

    Google Scholar 

  37. Aganagic, M., Mokhtari, S.: Security constrained economic dispatch using nonlinear Dantzig-Wolfe decomposition. IEEE Transactions on Power Systems, 105–112 (1997)

    Google Scholar 

  38. Happ, H.H.: Optimal power dispatch: A comprehensive survey. IEEE Transactions on Power Apparatus and Systems, 841–854, May 1977

    Google Scholar 

  39. Anderson, B.D.O., Bitmead, R.R., Johnson Jr., C.R., Kokotovic, P.V., Kosut, R.L., Mareels, I.M.Y., Praly, L., Riedle, B.D.: Stability of Adaptive Systems: Passivity and Averaging Analysis. M.I.T. Press, Cambridge (1986)

    Google Scholar 

  40. Khalil, H.K.: Nonlinear Systems, 3rd edn. Prentice Hall (2002)

    Google Scholar 

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Authors and Affiliations

  1. Department of Electrical and Computer Engineering, University of Iowa, Iowa City, IA, 52242, USA

    Meheli Basu, Raghuraman Mudumbai & Soura Dasgupta

Authors
  1. Meheli Basu
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  2. Raghuraman Mudumbai
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  3. Soura Dasgupta
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Corresponding author

Correspondence to Meheli Basu .

Editor information

Editors and Affiliations

  1. Dipartimento di Ingegneria dell’ Informazione (DINFO) , Universita degli Studi di Firenze, Firenze, Italy

    Stefano Berretti

  2. School of CS/IT, Indian Institute of Information Tech. and Management – Kerala (IIITM-K), Trivandrum, India

    Sabu M. Thampi

  3. Electrical and Computer Engineering, The University of Iowa College of Engineering, Iowa, Iowa, USA

    Soura Dasgupta

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Basu, M., Mudumbai, R., Dasgupta, S. (2016). Intelligent Distributed Economic Dispatch in Smart Grids. In: Berretti, S., Thampi, S., Dasgupta, S. (eds) Intelligent Systems Technologies and Applications. Advances in Intelligent Systems and Computing, vol 385. Springer, Cham. https://doi.org/10.1007/978-3-319-23258-4_25

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  • DOI: https://doi.org/10.1007/978-3-319-23258-4_25

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-23257-7

  • Online ISBN: 978-3-319-23258-4

  • eBook Packages: EngineeringEngineering (R0)

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