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Part of the book series: European Consortium for Mathematics in Industry ((XECMI))

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Abstract

The hydro-thermal coordination problem consists in finding a balance between production and consumption for every moment. The aim is to control hydro power in a way such that thermal fuel costs are minimized In this report we preassume the thermal unit commitment to be already established (cf. [2]). The remaining problem is to find an optimal schedule of the load among the generating hydro and thermal units, which is known as the Economic Dispatch problem. Here we concentrate on the hydro part of the system. We introduce the mathematical model of hydraulically coupled systems of storage power plants. As against other authors (cf. [1], [5]) the model contains the full nonlinear dependence of generation from head. For the mathematical solution technique we apply a decomposition — convexification procedure proposed by Gfrerer [3].

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References

  1. Aoki A. et. al. (1987) ‘Unit Commitment in a Large Scale Power System including Fuel Constrained Thermal and Pumped-Storage Hydro’, IEEE Transactions on Power Systems, Vol. PWRS-2, No. 4, pp. 1077–1084.

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  2. Gangl A., Gutenberger J. and Wacker HJ. ‘On the solution of the hydro-thermal coordination problem by decomposition’, P.F. Hodnett (ed.), submitted to the Proceedings of the Sixth conference of ECMI at Limerick, B.G. Teubner Stuttgart and Kluwer Academic Publishers, pp. 1–5.

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  3. Gfrerer H. (1984) ‘Globally convergent decomposition methods for nonconvex optimization problems’, Computing 32, 199–227.

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  4. Gutenberger J., Gangl A. and Wacker HJ. (1991) ‘Decomposition method with superlinear convergence for power plant systems’, M. Heiliö (ed.), Proceedings of the Fifth ECMI, B.G. Teubner Stuttgart and Kluwer Academic Publishers, 95–98.

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  5. Sandell N.R. et al. (1982) ‘Optimal scheduling of large scale hydrothermal power systems’, Proceedings of IEEE Large Scale Syst. Conf., Virginia Beach, VA.

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© 1992 Springer Fachmedien Wiesbaden

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Gutenberger, J., Gangl, A., Wacker, H. (1992). On the Scheduling of Hydro Power Plant Systems in the Frame of the Unit Commitment Problem. In: Hodnett, F. (eds) Proceedings of the Sixth European Conference on Mathematics in Industry August 27–31, 1991 Limerick. European Consortium for Mathematics in Industry. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-09834-8_32

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  • DOI: https://doi.org/10.1007/978-3-663-09834-8_32

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-663-09835-5

  • Online ISBN: 978-3-663-09834-8

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