Influence of the Maximum Flow Ramping Rates on the Water Value
Autor: | José R. Wilhelmi, Ignacio Guisández, Juan I. Pérez-Díaz |
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Rok vydání: | 2016 |
Předmět: |
Hydrology
Mathematical optimization Engineering business.industry Maximum ramping rates 020209 energy Energía Eléctrica Maximum flow problem 02 engineering and technology Inflow 7. Clean energy 6. Clean water Stochastic programming Piecewise linear function Electricity generation Energy(all) Volume (thermodynamics) Mixed integer linear programming Stochastic dynamic programming Water value 0202 electrical engineering electronic engineering information engineering business Integer programming Hydropower |
Zdroj: | Energy Procedia, ISSN 1876-6102, 2016-01, Vol. 87 Archivo Digital UPM instname |
ISSN: | 1876-6102 |
DOI: | 10.1016/j.egypro.2015.12.363 |
Popis: | This paper presents a study on the influence of maximum ramping rates (ρ) on the water values of a real hydropower plant. For this purpose, a master-slave algorithm, based on stochastic dynamic programming (SDP) and mixed integer linear programming (MILP), is used. The master module, based on SDP, has a 1-year planning period with weekly time steps and considers 3 state variables: stored volume of water in the reservoir at the beginning of each week; weekly water inflow; and average weekly energy price. The slave module, based on MILP, has a 1-week planning period with hourly time steps and considers: maximum legal and minimum technical storage capacities; maximum and minimum technical stored volumes for power generation; maximum and minimum flows released through the hydro units, the bottom outlets and the spillways according to the stored volume; one different power-discharge piecewise linear non-concave curve, as a function of the initial and estimated final stored volumes; start-up and shut-down costs of the hydro units; wear and tear costs of the hydro units caused by power variations; hourly evaporation losses according to the stored volume; hourly water inflows and energy prices; and up and down ρ. The results indicate that the water values of the hydropower plant are very sensitive to the presence of ρ; especially during the months with low water inflows. Water values decrease quadratically when increasing ρ. |
Databáze: | OpenAIRE |
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