Hydroelectric Flow Optimization of a Dam: A Kriging-Based Approach

This paper presents a novel approach for hydroelectric flow optimization. The proposed approach integrates Kriging into the framework of genetic algorithm (GA). This coupling reduces the computational effort associated with conventional GA without affecting the accuracy. The proposed approach has been used for hydroelectric flow optimization. For the model considered, revenue generated is dependent on (a) hourly turbine flow, (b) hourly spill flow, (c) hourly electricity price and (d) storage level of reservoir. Two case studies have been performed by varying the simulation time considered. For the first case, the simulation is run for 50 h. It is observed that the proposed approach yields accurate result at significantly reduced computational cost. On contrary for the second case, the simulation is run for 20 days. Due to huge computational cost involved, it was not possible to generate benchmark solution. Hence, only the results obtained using the proposed approach have been reported. The results obtained are indicative of the fact that the proposed approach can be utilized for optimization of large-scale system from an affordable computational cost.

[1]  A. Olsson,et al.  On Latin hypercube sampling for structural reliability analysis , 2003 .

[2]  Pan Wang,et al.  Efficient structural reliability analysis method based on advanced Kriging model , 2015 .

[3]  Irfan Kaymaz,et al.  Application Of Kriging Method To Structural Reliability Problems , 2005 .

[4]  Â. Teixeira,et al.  Assessment of the efficiency of Kriging surrogate models for structural reliability analysis , 2014 .

[5]  Jerome Sacks,et al.  Designs for Computer Experiments , 1989 .

[6]  Advantages of using the kriging interpolator to estimate the gravity surface, comparison and spatial variability of gravity data in the El Kef-Ouargha region (northern Tunisia) , 2013, Arabian Journal of Geosciences.

[7]  D. Krige A statistical approach to some basic mine valuation problems on the Witwatersrand, by D.G. Krige, published in the Journal, December 1951 : introduction by the author , 1951 .

[8]  Stuart R. Phinn,et al.  Mapping Coral Reef Resilience Indicators Using Field and Remotely Sensed Data , 2013, Remote. Sens..

[9]  N. Cressie The origins of kriging , 1990 .

[10]  Lin Wang,et al.  Optimized linearization of chord and twist angle profiles for fixed-pitch fixed-speed wind turbine blades , 2013 .

[11]  Wei Li,et al.  Multiobjective optimization of multi-cell sections for the crashworthiness design , 2008 .

[12]  G. Matheron Principles of geostatistics , 1963 .

[13]  Sondipon Adhikari,et al.  A Critical Assessment of Kriging Model Variants for High-Fidelity Uncertainty Quantification in Dynamics of composite Shells , 2016, Archives of Computational Methods in Engineering.

[14]  Liping Fu,et al.  Identification of crash hotspots using kernel density estimation and kriging methods: a comparison , 2015 .

[15]  Indrajit Mukherjee,et al.  A review of optimization techniques in metal cutting processes , 2006, Comput. Ind. Eng..