Abstract
The unit commitment problem in power plant operation planning is addressed. For a real power system comprising coal- and gas-fired thermal and pumped-storage hydro plants a large-scale mixed integer optimization model for unit commitment is developed. Then primal and dual approaches to solving the optimization problem are presented and results of test runs are reported.
This research is supported by a grant of the German Federal Ministry of Education, Science, Research and Technology (BMBF).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Aoki, K.; Itoh, M.; Satoh, T.; Nara, K.; Kanezashi, M.: Optimal Long-Term Unit Commitment in Large Scale Systems Including Fuel Constrained Thermal and Pumped-Storage Hydro. IEEE Transactions on Power Systems 4 (1989), 1065 - 1073.
Bertsekas, D.P.: Constrained Optimization and Lagrange Multiplier Methods. Academic Press, New York, 1982.
Bertsekas, D.P.; Lauer, G.S.; Sandell, N.R.; Posbergh, T.A.: Optimal Short-Term Scheduling of Large-Scale Power Systems. IEEE Transactions on Automatic Control, AC-28(1983), 1-11.
Using the CPLEX Callable Library. CPLEX Optimization, Inc. 1994.
Feltenmark, S.; Kiwiel, K.C.; Lindberg, P.-O.: Solving Unit Commitment Problems in Power Production Planning Working Paper, 1996.
Guddat, J.; Römisch, W.; Schultz, R.: Some Applications of Mathematical Programming Techniques in Optimal Power Dispatch. Computing 49 (1992), 193 - 200.
Kiwiel, K.C.: Proximity Control in Bundle Methods for Convex Nondifferentiable Minimization. Mathematical Programming 46 (1990), 105 - 122.
Kiwiel, K.C.: User’s Guide for NOA 2.0/3.0: A Fortran Package for Convex Non-differentiable Optimization. Polish Academy of Science, System Research Institute, Warsaw, 1993/1994.
Lemaréchal, C.; Pellegrino, F.; Renaud, A.; Sagastizâbal, C.: Bundle Methods Applied to the Unit Commitment Problem. Proceedings of the 17th IFIP-Conference on System Modelling and Optimization, Prague, July 10-14, 1995. (to appear)
Möller, A.: Über die Lösung des Blockauswahlproblems mittels Lagrangescher Relaxation. Diplomarbeit, Humboldt-Universität Berlin, Institut für Mathematik, 1994.
Möller, A.; Römisch, W.: A Dual Method for the Unit Commitment Problem. Humboldt-Universität Berlin, Institut für Mathematik, Preprint Nr. 95 - 1, 1995.
Muckstadt, J.A.; Koenig, S.A.: An Application of Lagrangian Relaxation to Scheduling in Thermal Power-Generation Systems. Operations Research, 25 (1977), 387 - 403.
Nowak, M.: A Fast Descent Method for the Hydro Storage Subproblem in Power Generation. Working Paper, WP-96-109, IIASA, Laxenburg, 1996.
van Roy, T.; Wolsey, L.A.: Valid Inequalities for Mixed 0-1 Programs. Discrete Applied Mathematics 14 (1986), 199 - 213.
Sheble, G.B.; Fand, G.N.: Unit Commitment Literature Synopsis. IEEE Transactions on Power Systems 9 (1994), 128 - 135.
Takriti, S.; Birge, J.R.; Long, E.: A Stochastic Model for the Unit Commitment Problem. IEEE Transactions on Power Systems 11 (1996), 1497 - 1508.
Zhuang, F.; Galiana, F.D.: Towards a More Rigorous and Practical Unit Commitment by Lagrangian Relaxation. IEEE Transactions on Power Systems 3 (1988), 763 - 773.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1997 B. G. Teubner Stuttgart
About this chapter
Cite this chapter
Dentcheva, D., Gollmer, R., Möller, A., Römisch, W., Schultz, R. (1997). Solving the Unit Commitment Problem in Power Generation by Primal and Dual Methods. In: Brøns, M., Bendsøe, M.P., Sørensen, M.P. (eds) Progress in Industrial Mathematics at ECMI 96. European Consortium for Mathematics in Industry, vol 9. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-96688-9_38
Download citation
DOI: https://doi.org/10.1007/978-3-322-96688-9_38
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-322-96689-6
Online ISBN: 978-3-322-96688-9
eBook Packages: Springer Book Archive