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Broadcast Gossip Algorithm-Based Economic Dispatch in Smart Grid with Transmission Losses

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Proceedings of 2021 Chinese Intelligent Systems Conference

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 803))

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Abstract

The economic dispatch problem (EDP) in smart grid mainly is investigated in this paper. The transmission losses of power produced by generator will be taken into account, which introduces nonlinear constraints in the EDP. By viewing the losses as a quadratic function, a broadcast gossip economic dispatch algorithm is proposed to work out the EDP. This distributed algorithm makes all neighbors of the node update the information of each iteration through broadcast. The convergence of the algorithm will be certified by the approximation as well as matrix perturbation theory. Three simulation experiments show the distributed algorithm’s availability as well as plug-and-play capability, and a comparison with the algorithm in which the transmission loss is not considered is further given.

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References

  1. Wood, A.J., Wollenberg, B.F.: Power Generation Operation and Control. Wiley, New York (1996)

    Google Scholar 

  2. Nunna, H.K., Doolla, S.: Multiagent-based distributed-energy-resource management for intelligent microgrids. IEEE Trans. Ind. Electron. 60(4), 1678–1687 (2013). https://doi.org/10.1109/TIE.2012.2193857

    Article  Google Scholar 

  3. Xiao, L., Boyd, S.: Optimal scaling of a gradient method for distributed resource allocation. J. Optim. Theory Appl. 129(3), 469–488 (2006). https://doi.org/10.1007/s10957-006-9080-1

    Article  MathSciNet  MATH  Google Scholar 

  4. Zhao, C., He, J., Cheng, P., Chen, J.: Consensus-based energy management in smart grid with transmission losses and directed communication. IEEE Trans. Smart Grid 8(5), 2049–2061 (2017). https://doi.org/10.1109/TSG.2015.2513772

    Article  Google Scholar 

  5. Binetti, G., Davoudi, A., Lewis, F.L., Naso, D., Turchiano, B.: Distributed consensus-based economic dispatch with transmission losses. IEEE Trans. Power Syst. 29(4), 1711–1720 (2014). https://doi.org/10.1109/TPWRS.2014.2299436

    Article  Google Scholar 

  6. Wang, R., Li, Q.Q., Shi, Y., Wang, L.H.: A gossip-based asynchronous distributed algorithm for economic dispatch problem with transmission losses. In: 2019 IEEE Innovative Smart Grid Technologies - Asia (ISGT Asia), pp. 770–775 (2019). https://doi.org/10.1109/ISGT-Asia.2019.8881641

  7. Boyd, S., Ghosh, A., Prabhakar, B., Shah, D.: Randomized gossip algorithms. IEEE Trans. Inf. Theory 52(6), 2508–2530 (2006). https://doi.org/10.1109/TIT.2006.874516

    Article  MathSciNet  MATH  Google Scholar 

  8. Zhang, Z.A., Rahhari-Asr, N., Chow, M.Y.: Asynchronous distributed cooperative energy management through gossip-based incremental cost consensus algorithm. In: 2013 North American Power Symposium (NAPS), pp. 1–6 (2013). https://doi.org/10.1109/NAPS.2013.6666854

  9. Wang, D.W., Huang, W.C., Huang, Y.W., Chen, S.B.: Distributed economic dispatch based on broadcast gossip consensus algorithm in smart grid. In: 2020 Chinese Automation Congress (CAC), pp. 5130–5136 (2020). https://doi.org/10.1109/CAC51589.2020.9327413

  10. Silvestre, D., Hespanha, J.P., Silvestre, C.: Broadcast and gossip stochastic average consensus algorithms in directed topologies. IEEE Trans. Control Netw. Syst. 6(2), 474–486 (2019). https://doi.org/10.1109/TCNS.2018.2839341

    Article  MathSciNet  MATH  Google Scholar 

  11. Wu, S.C., Rabbat, M.G.: Broadcast gossip algorithms for consensus on strongly connected digraphs. IEEE Trans. Signal Process. 61(16), 3959–3971 (2013). https://doi.org/10.1109/TSP.2013.2264056

    Article  MathSciNet  MATH  Google Scholar 

  12. Abraham, B., Plemmons, R.J.: Nonnegative matrices. In: The Mathematical Sciences, Classics in Applied Mathematics, p. 9 (1979)

    Google Scholar 

  13. Der, V.A., Morsche, T.H.G., Mattheij, R.R.M.: Computation of eigenvalue and eigenvector derivatives for a general complex-valued eigensystem. Electron. J. Linear Algebra 16, 300–314 (2007)

    MathSciNet  MATH  Google Scholar 

  14. Bauer, F.L., Fike, C.T.: Norms and exclusion theorems. Numerische mathematik 2, 137–141 (1960)

    Article  MathSciNet  Google Scholar 

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Correspondence to Wenchao Huang .

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Xiao, Y., Huang, W., Huang, Y., Chen, S. (2022). Broadcast Gossip Algorithm-Based Economic Dispatch in Smart Grid with Transmission Losses. In: Jia, Y., Zhang, W., Fu, Y., Yu, Z., Zheng, S. (eds) Proceedings of 2021 Chinese Intelligent Systems Conference. Lecture Notes in Electrical Engineering, vol 803. Springer, Singapore. https://doi.org/10.1007/978-981-16-6328-4_70

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