Competitive energy consumption under transmission constraints in a multi-supplier power grid system

References

• Alam, M., Ramchurn, S.D., & Rogers, A. (2013). Cooperative energy exchange for the efficient use of energy and resources in remote communities. In Proceedings of the 2013 International Conference on Autonomous Agents and Multi-agent Systems (pp. 731–738). Richland, SC: International Foundation for Autonomous Agents and Multiagent Systems.
   Google Scholar
• Altman, E., Basar, T., Jimenez, T., & Shimkin, N. (2002). Competitive routing in networks with polynomial costs. IEEE Transactions on Automatic Control, 47(1), 92–96.
   Web of Science ®Google Scholar
• Altman, E., Combes, R., Altman, Z., & Sorin, S. (2011). Routing games in the many players regime. In Proceedings of the 5th International ICST Conference on Performance Evaluation Methodologies and Tools (pp. 525–527). Brussels, Belgium: ICST (Institute for Computer Sciences, Social-Informatics and Telecommunications Engineering).
   Google Scholar
• Altman, E., & Kameda, H. (2005). Equilibria for multiclass routing problems in multi-agent networks. Advances in Dynamic Games, 7, 343–367.
   Google Scholar
• Atzeni, I., Ordóñez, L.G., Scutari, G., Palomar, D.P., & Fonollosa, J.R. (2013a). Demand-side management via distributed energy generation and storage optimization. Smart Grid, IEEE Transactions on, 4(2), 866–876.
   Web of Science ®Google Scholar
• Atzeni, I., Ordóñez, L.G., Scutari, G., Palomar, D.P., & Fonollosa, J.R. (2013b). Noncooperative and cooperative optimization of distributed energy generation and storage in the demand-side of the smart grid. Signal Processing, IEEE Transactions on, 61(10), 2454–2472.
   Web of Science ®Google Scholar
• Bohn, R.E., Caramanis, M.C., & Schweppe, F.C. (1984). Optimal pricing in electrical networks over space and time. The Rand Journal of Economics, 15(3), 360–376.
   Web of Science ®Google Scholar
• Carpentier, J. (1979). Optimal power flows. International Journal of Electrical Power and Energy Systems, 1(1), 3–15.
   Web of Science ®Google Scholar
• Chao, H.P., & Peck, S. (1996). A market mechanism for electric power transmission. Journal of Regulatory Economics, 10(1), 25–59.
   Web of Science ®Google Scholar
• Chowdhury, B.H., & Rahman, S. (1990). A review of recent advances in economic dispatch. IEEE Transactions on Power Systems, 5(4), 1248–1259.
   Web of Science ®Google Scholar
• Crew, M.A., & Kleindorfer, P.R. (1979). Public utility economics. New York, NY: St. Martins Press.
   Google Scholar
• Dolmatova, M. (2015). Optimal nodal capacity procurement. Advances in Intelligent Systems and Computing, 360, 415–423.
   Google Scholar
• Duffin, R. (1947). Nonlinear networks. IIa. Bulletin of the American Mathematical Society, 53, 963–971.
   Web of Science ®Google Scholar
• Hogan, W.W. (1992). Contract networks for electric power transmission. Journal of Regulatory Economics, 4, 211–242.
   Web of Science ®Google Scholar
• Hogan, W.W. (1999). Market-based transmission investments and competitive electricity markets. Technical Report. John F. Kennedy School of Government, Harvard University, Cambridge, MA.
   Google Scholar
• Kirchhoff, G. (1847). Ueber die Aufloesung der Gleichungen, auf welche man bei der Untersuchung der linearen Vertheilung galvanischer Stroeme gefuehrt wird., Annalen der Physik und Chemie, 72, 497–508.
   Google Scholar
• Kok, J. (2013). The powermatcher: Smart coordination for the smart electricity grid. Amsterdam: Vrije Universiteit.
   Google Scholar
• Maxwell, J.C. (1873). A treatise on electricity and magnetism, Oxford: The Clarendon Press.
   Google Scholar
• Mihailescu, R.C., Vasirani, M., & Ossowski, S. (2011). Dynamic coalition adaptation for efficient agent-based virtual power plants. In Multiagent System Technologies (pp. 101–112). Berlin Heildelberg: Springer-Verlag.
   Google Scholar
• Mohsenian-Rad, A.H., Wong, V.W., Jatskevich, J., Schober, R., & Leon-Garcia, A. (2010). Autonomous demand-side management based on game-theoretic energy consumption scheduling for the future smart grid. Smart Grid, IEEE Transactions on, 1(3), 320–331.
   Web of Science ®Google Scholar
• Nie, P.y. (2007). Discrete time dynamic multi-leader-follower games with feedback perfect information. International journal of systems science, 38(3), 247–255.
   Web of Science ®Google Scholar
• Nie, P.y. (2011). Dynamic discrete-time multi-leader–follower games with leaders in turn. Computers & Mathematics with Applications, 61(8), 2039–2043.
   Web of Science ®Google Scholar
• O’Neill, R.P., Baldick, R., Helman, U., Rothkopf, M.H., & Stewart, W.R. (2005). Dispatchable transmission in RTO markets. IEEE Transactions on Power Systems, 20(1), 171–179.
   Web of Science ®Google Scholar
• O’Neill, R.P., Helman, U., Hobbs, B.F., Stewart, W.R., & Rothkopf, M.H. (2002). A joint energy and transmission rights auction: Proposal and properties. IEEE Transactions on Power Systems, 17(4), 1058–1067.
   Web of Science ®Google Scholar
• Pang, J.S., & Fukushima, M. (2005). Quasi-variational inequalities, generalized Nash equilibria, and multi-leader-follower games. Computational Management Science, 2(1), 21–56.
   Google Scholar
• Patriksson, M. (1994). The traffic assignment problem: Models and methods. Utrecht: VSP.
   Google Scholar
• Rosen, J.B. (1965). Existence and uniqueness of equilibrium points for concave n-person games. Econometrica: Journal of the Econometric Society, 33(3), 520–534.
   Web of Science ®Google Scholar
• Saishu, K., and Moriwaki, Y. (1972). Optimal assignment of traffic flows. Electrical Engineering in Japan, 92, 113–120.
   Web of Science ®Google Scholar
• Sasaki, T., & Inouye, H. (1974 ). Traffic assignment by analogy to electric circuits. In Transportation and Traffic Theory, Proceedings of the 6th International Symposium on Transportation and Traffic Theory (pp. 495–518). New York, NY: Elsevier.
   Google Scholar
• Schweppe, F.C., Caramanis, M.C., Tabors, R.D., & Bohn, R.E. (1988). Spot pricing of electricity. Norwell: Kluwer Academic Publishers.
   Google Scholar
• Veit, A., Xu, Y., Zheng, R., Chakraborty, N., & Sycara, K.P. (2013). Multiagent coordination for energy consumption scheduling in consumer cooperatives. In Proceedings of the 27th AAAI Conference on Artificial Intelligence (pp. 1362–1368). Association for the Advancement of Artificial Intelligence.
   Google Scholar
• Wood, A.J., & Wollenberg, B.F. (1984). Power generation, control, and operation. New York, NY: John Wiley and Sons.
   Google Scholar
• Yang, J., Zhang, G., & Ma, K. (2015). Hierarchical dispatch using two-stage optimisationfor electricity markets in smart grid. International Journal of Systems Science, 47(15), 1–8.
   Web of Science ®Google Scholar
• Zakharov, V.V., & Krylatov, A.Y. (2014). Equilibrium assignments in competitive and cooperative traffic flow routing. IFIP Advances in Information and Communication Technology, 434, 641–648.
   Google Scholar
• Zakharov, V.V., & Krylatov, A.Y. (2015). Transit network design for green vehicles routing. Advances in Intelligent Systems and Computing, 360, 449–458.
   Google Scholar
• Zakharov, V.V., & Krylatov, A.Y. (2016). Competitive routing of traffic flows by navigation providers. Automation and Remote Control, 77(1), 179–189.
   Web of Science ®Google Scholar
• Zakharov, V.V., Krylatov, A.Y., & Ivanov, D.A. (2013). Equilibrium traffic flow assignment in case of two navigation providers. IFIP Advances in Information and Communication Technology, 408, 156–163.
   Google Scholar
• Ziser, C.J., Dong, Z., & Wong, K. (2012). Incorporating weather uncertainty in demand forecasts for electricity market planning. International Journal of Systems Science, 43(7), 1336–1346.
   Web of Science ®Google Scholar