Abstract
This chapter includes an investigation on a power smart grid with multiple suppliers and consumers. The first section is devoted to the corresponding model description. The power load flow estimation is presented in a form equivalent to a link-flow traffic assignment problem. The second section concentrates on the competition of consumers, while the third section concentrates on the cooperation of suppliers. From mathematical perspectives, both defined models of economic interaction imply bi-level optimization problems. Thus efficient computational algorithms are required. The last section is devoted to pricing mechanisms for transmission networks with multiple suppliers and consumers. Possible techniques for the arising complex problem of transmission cost sharing are proposed.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Duffin R (1947) Nonlinear networks. IIa. Bull Am Math Soc 53, 963–971
Patriksson M (2015) The traffic assignment problem: models and methods. Dover Publications Inc, Mineola
Popov I, Krylatov A, Zakharov V, Ivanov D (2017) Competitive energy consumption under transmission constraints in a multi-supplier power grid system. Int J Syst Sci 48(5):994–1001
Schweppe FC, Caramanis MC, Tabors RD, Bohn RE (1988) Spot pricing of electricity. Kluwer Academic Publishers, Norwell
Hogan WW (1992) Contract networks for electric power transmission. J Regul Econ 4:211–242
O’Neill RP, Helman U, Hobbs BF, Stewart WR, Rothkopf MH (2002) A joint energy and transmission rights auction: proposal and properties. IEEE Trans Power Syst 17(4):1058–1067
Bertsekas DP (1999) Nonlinear programming, 2nd edn. Athena Scientific, Belmont, Massachusetts
Rosen JB (1965) Existence and uniqueness of equilibrium points for concave \(n\)-person games. Econometrica: J Econ Soc 520–534
Roth AE (1988) The Shapley value: essays in honor of Lloyd S. Cambridge University Press, Shapley
Popov I, Krylatov A, Zakharov V (2016) Integrated smart energy system based on production-oriented consumption. IFIP Adv Inf Commun Technol 480:265–273
Veit A, Xu Y, Zheng R, Chakraborty N, Sycara KP (2013) Multiagent coordination for energy consumption scheduling in consumer cooperatives. In: 27th AAAI conference on artificial intelligence, pp 1362–1368
Mohsenian-Rad A-H, Wong VW, Jatskevich J, Schober R, Leon-Garcia A (2010) Autonomous demand-side management based on game-theoretic energy consumption scheduling for the future smart grid. IEEE Trans Smart Grid 1(3):320–331
Popov IV, Krylatov AYu, Lukina AA (2017) Pricing mechanisms for day-ahead demand management in multi-generator power grid. In: 2016 International conference on recent advances and innovations in engineering (ICRAIE)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2020 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Krylatov, A., Zakharov, V., Tuovinen, T. (2020). Load Flow Estimation in a Transmission Network. In: Optimization Models and Methods for Equilibrium Traffic Assignment. Springer Tracts on Transportation and Traffic, vol 15. Springer, Cham. https://doi.org/10.1007/978-3-030-34102-2_9
Download citation
DOI: https://doi.org/10.1007/978-3-030-34102-2_9
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-34101-5
Online ISBN: 978-3-030-34102-2
eBook Packages: EngineeringEngineering (R0)