Abstract
This article presents a novel control scheme for achieving optimal power balancing and congestion control in electrical energy transmission networks via nodal prices. We develop an explicit controller that guarantees economically optimal steady-state operation while respecting all line flow constraints in steady-state. Due to these constraints, the resulting optimal control law has a piecewise affine structure. To optimize the dynamic response of the system and to satisfy line overload constraints during the transient period, the explicit optimal controller is complemented with a hybrid MPC controller. An example illustrates the effectiveness of the proposed hybrid control scheme.
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References
Stoft, S.: Power System Economics: Designing Markets for Electricity. Kluwer Academic Publishers, Dordrecht (2002)
Christie, R.D., Wollenberg, B.F., Wangensteen, I.: Transmission management in the deregulated enviroment. Proceedings of the IEEE 88(2), 170–195 (2000)
Alvarado, F.L., et al.: Stability analysis of interconnected power systems coupled with market dynamics. IEEE Transactions on Power Systems 16(4), 695–701 (2001)
Alvarado, F.: The stability of power system markets. IEEE Transactions on Power Systems 14(2), 505–511 (1999)
Kundur, P.: Power System Stability and Control. McGraw-Hill, New York (1994)
Geyer, T., Larsson, M., Morari, M.: Hybrid emergency voltage control in power systems. In: European Control Conference, Cambridge, UK (2003)
Beccuti, A.G., Geyer, T., Morari, M.: A hybrid system approach to power systems voltage control. In: IEEE Conference on Decision and Control, Seville, Spain, IEEE Computer Society Press, Los Alamitos (2005)
Ferrari-Trecate, G., et al.: Modeling and control of co-generation power plants: A hybrid system approach. IEEE Transactions on Control Systems Technology 12(5), 694–705 (2004)
Bemporad, A., Muñoz de la Peña, D., Piazzesi, P.: Optimal control of investments for quality of supply improvement in electrical energy distribution networks. Automatica 42 (2006)
Saadat, H.: Power System Analysis. McGraw-Hill, New York (1999)
Lazar, M.: Model predictive control of hybrid systems: Stability and robustness. PhD thesis, Eindhoven University of Technology, The Netherlands (2006)
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© 2007 Springer Berlin Heidelberg
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Jokic, A., Lazar, M., Bosch, P.P.J.v.d. (2007). Price-Based Optimal Control of Power Flow in Electrical Energy Transmission Networks. In: Bemporad, A., Bicchi, A., Buttazzo, G. (eds) Hybrid Systems: Computation and Control. HSCC 2007. Lecture Notes in Computer Science, vol 4416. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71493-4_26
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DOI: https://doi.org/10.1007/978-3-540-71493-4_26
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-71492-7
Online ISBN: 978-3-540-71493-4
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