ABSTRACT
A power packet distribution network is expected to be one of the advanced power distribution systems, providing high controllability in both energy management and failure management. Regarding network operations, the power packet transmission is governed by switching operation within each of the routers. Here, the power distribution through power packets exhibits consensus-like dynamical behaviors. These features lead to the question of a consensus dynamics on switching topology and routing controls for appropriate power flows. Our approach to the above subjects is based on the dynamical modeling and the emulation of dynamics through the decentralized control of routers. The simulations on a ring-structure network, of the power distribution, reveal that the dynamical solution of the unbiased distribution is feasible via the decentralized control, while in the biased case, the result shows two behavioral fragments, which is quite different from the dynamical solution. In this discussion, we propose a decentralized algorithm that contains only fundamental functions for the packet transmission and is able to be redesigned or extended for further applications.
ACKNOWLEDGMENTS
This work was supported by Council for Science, Technology and Innovation (CSTI), Cross-ministerial Strategic Innovation Promotion Program (SIP), “Next-generation power electronics” (funding agency: NEDO).
- 1. C. E. Shannon and W. Weaver, The Mathematical Theory of Communication (University of Illinois Press, 1963), pp. 31–35. Google Scholar
- 2. R. Takahashi, S. Azuma, M. Hasegawa, H. Ando, and T. Hikihara, “Power processing for advanced power distribution and control,” IEICE Trans. Commun. E100.B, 941–947 (2016). https://doi.org/10.1587/transcom.2016EBN0005, Google ScholarCrossref
- 3. T. Hikihara, “Power processing by packetization and routing,” IEICE Technical Report CCS2015-57 (2015). Google Scholar
- 4. J. Toyoda, “Power transactions and open electric energy network,” J. Inst. Electr. Eng. Jpn. 117, 345–348 (1997) (in Japanese). https://doi.org/10.1541/ieejjournal.117.345, Google ScholarCrossref
- 5. J. M. Barrett, Challenges and Requirements for Tomorrow’s Electrical Power Grid, Future of the Power Grid Series (Lexington Institute, 2016). Google Scholar
- 6. F. R. Yu, P. Zhang, W. Xiao, and P. Choudhury, “Communication systems for grid integration of renewable energy resources,” IEEE Netw. 25, 22–29 (2011). https://doi.org/10.1109/MNET.2011.6033032, Google ScholarCrossref
- 7. N. Fujii, R. Takahashi, and T. Hikihara, “Networked power packet dispatching system for multi-path routing,” in Proceedings of the IEEE/SICE International Symposium on System Integration (IEEE, Tokyo, 2014). Google Scholar
- 8. Y. Zhou, R. Takahashi, and T. Hikihara, “Security of power packet dispatching using differential chaos shift keying,” Nonlinear Theory Appl. IEICE 7, 250–265 (2016). https://doi.org/10.1587/nolta.7.250, Google ScholarCrossref
- 9. S. Mochiyama, R. Takahashi, and T. Hikihara, “Close-loop angle control of stepper motor fed by power packets,” IEICE Trans. Fundam. Electron. Commun. Comput. Sci. E100-A, 1571–1574 (2017). https://doi.org/10.1587/transfun.E100.A.1571, Google ScholarCrossref
- 10. H. Balakrishnan, I. Hwang, J. S. Jang, and C. J. Tomlin, Hybrid Systems: Computation and Control. HSCC 2004 (Springer-Verlag, Berlin, 2004), pp. 64–67. Google Scholar
- 11. S. Baek, H. Ando, and T. Hikihara, “Automata modeling on power packet distribution network for power flow analysis,” in Proceedings of NOLTA’18 (IEICE, Tarragona, 2018). Google Scholar
- 12. S. Baek, H. Ando, and T. Hikihara, “Consensus-based distributed control of power packet distribution network,” in Proceedings of JKCCS’19 (IEICE, Pyeongchang, 2019). Google Scholar
- 13. R. Olfati-Saber, J. A. Fax, and R. M. Murray, “Consensus and cooperation in networked multi-agent systems,” Proc. IEEE 95, 215–233 (2007). https://doi.org/10.1109/JPROC.2006.887293, Google ScholarCrossref
- 14. R. Olfati-Saber and R. M. Murray, “Consensus problems in networks of agents with switching topology and time-delays,” IEEE Trans. Autom. Contr. 49, 1520–1533 (2004). https://doi.org/10.1109/TAC.2004.834113, Google ScholarCrossref
- 15. B.-Y. Kim, K.-K. Oh, and H.-S. Ahn, “Power distribution with consensus,” in Proceedings of 2012 IEEE/ASME International Conference on Mechatronic and Embedded Systems and Applications (IEEE, Suzhou, 2012), pp. 52–56. Google Scholar
- 16. J. Liu, M. Benosman, and A. U. Raghunathan, “Consensus-based distributed optimal power flow algorithm,” in Proceedings of IEEE Power and Energy Society Innovative Smart Grid Technologies Conference (ISGT) (IEEE, Washington, DC, 2015). Google Scholar
- 17. H. Ando, S. Azuma, and R. Takahashi, “Consensus dynamics in switching networks for distributing power packets,” in 6th IFAC Workshop on Distributed Estimation and Control in Networked Systems (NecSys2016) (IFAC, 2016), Vol. 49, pp. 351–354. Google Scholar
- 18. H. Ando and T. Hikihara, “A bio-inspired power sharing model in consensus networks,” in Proceedings of NOLTA’18 (IEICE, Tarragona, 2018). Google Scholar
- 19. S. Nawata, A. Maki, and T. Hikihara, “Power packet transferability via symbol propagation matrix,” Proc. R. Soc. A 474, 20170552 (2018). https://doi.org/10.1098/rspa.2017.0552, Google ScholarCrossref
- 20. T. Hikihara, S. Nawata, and R. Takahashi, “Power packet dispatching and dynamics in network,” in 24th International Congress of Theoretical and Applied Mechanics (ICTAM 2016) (IUTAM, Montreal, 2016), pp. 3171–3172. Google Scholar
- 21. R. Takahashi, K. Tashiro, and T. Hikihara, “Router for power packet distribution network: Design and experimental verification,” IEEE Trans. Smart Grid 6, 618–626 (2015). https://doi.org/10.1109/TSG.2014.2384491, Google ScholarCrossref
- 22. R. Takahashi, S. Azuma, K. Tashiro, and T. Hikihara, “Design and experimental verification of power packet generation system for power packet dispatching system,” in Proceedings of the American Control Conference (IEEE, Washington, DC, 2013), pp. 4368–4373. Google Scholar
- 23. Y. Zhou, R. Takahashi, N. Fujii, and T. Hikihara, “Power packet dispatching with second-order clock synchronization,” Int. J. Circuit Theory Appl. 44, 729–743 (2016). https://doi.org/10.1002/cta.2103, Google ScholarCrossref
- 24. K. Tashiro, R. Takahashi, and T. Hikihara, “Feasibility of power packet dispatching at in-home dc distribution network,” in Proceedings of the 3rd IEEE International Conference on Smart Grids Communications (IEEE, Tainan, 2012), pp. 401–405. Google Scholar
- 25. T. Takuno, M. Koyama, and T. Hikihara, “In-home power distribution systems by circuit switching and power packet dispatching,” in Proceedings of the 1st IEEE International Conference on Smart Grids Communications (IEEE, Gaithersburg, MD, 2010), pp. 427–430. Google Scholar
- 26. P. Jamieson, W. Luk, S. Wilton, and G. A. Constantinides, “An energy and power consumption analysis of fpga routing architectures,” in 2009 International Conference on Field Programmable Technology (IEEE, 2009), pp. 324–327. Google Scholar
- 27. R. Riaza, “Some qualitative problems in network dynamics,” arXiv:1501.01904v1 [math.DS] (2015). Google Scholar
- 28. Y. Zheng, Y. Zhu, and L. Wang, “Consensus of heterogeneous multi-agent systems,” IET Contr. Theor. Appl. 5, 1881–1888 (2011). https://doi.org/10.1049/iet-cta.2011.0033, Google ScholarCrossref
- 29. R. Albert and A.-L. Barabási, “Statistical mechanics of complex networks,” Rev. Mod. Phys. 74, 47–97 (2002). https://doi.org/10.1103/RevModPhys.74.47, Google ScholarCrossref
- 30. A.-L. Barabási and R. Albert, “Emergence of scaling in random networks,” Science 286, 509–512 (1999). https://doi.org/10.1126/science.286.5439.509, Google ScholarCrossref
- 31. S. Patterson and B. Bamieh, “Consensus and coherence in fractal networks,” IEEE Trans. Contr. Netw. Syst. 1, 338–348 (2014). https://doi.org/10.1109/TCNS.2014.2357552, Google ScholarCrossref
- 32. N. Rubido, C. Grebogi, and M. Baptista, “General analytical solutions for DC/AC circuit-network analysis,” Eur. Phys. J. Spec. Top. 226, 1829–1844 (2017). https://doi.org/10.1140/epjst/e2017-70074-2, Google ScholarCrossref
- 33. D. A. Spielman, “Spectral graph theory and its applications,” in 48th Annual IEEE Symposium on Foundations of Computer Science (IEEE, 2007), pp. 29–38. Google Scholar
- 34. E. Gelenbe and Y. Zhang, “Performance optimization with energy packets,” IEEE Syst. J. 13, 1–11 (2019). https://doi.org/10.1109/JSYST.2019.2912013, Google ScholarCrossref
- 35. E. Gelenbe, “Energy packet networks: Adaptive energy management for the cloud,” in Proceedings of the 2nd International Workshop on Cloud Computing Platforms (ACM, Bern, 2012), p. 1. Google Scholar
- 36. S. S. Yang, “Centralized and decentralized methods of efficient resource allocation in cloud computing,” Ph.D. dissertation (Department of Industrial Engineering, School Arizona State University, 2016). Google Scholar
- 37. S. S. Yang and N. Ye, “Heuristics for efficient resource allocation in cloud computing,” Res. J. Comput. Sci. Eng. 1, 1–21 (2019). https://doi.org/10.36811/rjcse.2019.110001, Google ScholarCrossref
Article Metrics
Views
333
Citations
Crossref
0
Web of Science
ISI
0
Altmetric
Please Note: The number of views represents the full text views from December 2016 to date. Article views prior to December 2016 are not included.


