Improving multi-objective reservoir operation optimization with sensitivity-informed dimension reduction

This study investigates the effectiveness of a sensitivity-informed method for multi-objective operation of reservoir systems, which uses global sensitivity analysis as a screening tool to reduce computational demands. Sobol's method is used to screen insensitive decision variables and guide the formulation of the optimization problems with a significantly reduced number of decision variables. This sensitivity-informed method dramatically reduces the computational demands required for attaining high-quality approximations of optimal trade-off relationships between conflicting design objectives. The search results obtained from the reduced complexity multi-objective reservoir operation problems are then used to pre-condition the full search of the original optimization problem. In two case studies, the Dahuofang reservoir and the inter-basin multi-reservoir system in Liaoning province, China, sensitivity analysis results show that reservoir performance is strongly controlled by a small proportion of decision variables. Sensitivity-informed dimension reduction and pre-conditioning are evaluated in their ability to improve the efficiency and effectiveness of multi-objective evolutionary optimization. Overall, this study illustrates the efficiency and effectiveness of the sensitivity-informed method and the use of global sensitivity analysis to inform dimension reduction of optimization problems when solving complex multi-objective reservoir operation problems.

[1]  Patrick M. Reed,et al.  Computational Scaling Analysis of Multiobjective Evolutionary Algorithms in Long-Term Groundwater Monitoring Applications , 2006 .

[2]  Amruthur S. Ramamurthy,et al.  Optimal design of multi-reservoir systems for water supply , 2000 .

[3]  Jhih-Shyang Shih,et al.  Water supply operations during drought: A discrete hedging rule , 1995 .

[4]  Patrick M. Reed,et al.  Comparing state-of-the-art evolutionary multi-objective algorithms for long-term groundwater monitoring design , 2005 .

[5]  Alcigeimes B. Celeste,et al.  Evaluation of stochastic reservoir operation optimization models , 2009 .

[6]  Ralph A. Wurbs.  Reservoir‐System Simulation and Optimization Models , 1993 .

[7]  Najmeh Mahjouri,et al.  Optimal Inter-Basin Water Allocation Using Crisp and Fuzzy Shapley Games , 2010 .

[8]  Li Chen,et al.  REAL CODED GENETIC ALGORITHM OPTIMIZATION OF LONG TERM RESERVOIR OPERATION 1 , 2003 .

[9]  P. Reed,et al.  Hydrology and Earth System Sciences Discussions Comparing Sensitivity Analysis Methods to Advance Lumped Watershed Model Identification and Evaluation , 2022 .

[10]  G. K. Young.  Finding Reservoir Operating Rules , 1967 .

[11]  John W. Labadie,et al.  Optimal Operation of Multireservoir Systems: State-of-the-Art Review , 2004 .

[12]  Sh. Momtahen,et al.  Direct Search Approaches Using Genetic Algorithms for Optimization of Water Reservoir Operating Policies , 2007 .

[13]  Pan Liu,et al.  Derivation of Aggregation-Based Joint Operating Rule Curves for Cascade Hydropower Reservoirs , 2011 .

[14]  Jenq-Tzong Shiau.  Analytical optimal hedging with explicit incorporation of reservoir release and carryover storage targets , 2011 .

[15]  Warren B. Powell,et al.  Approximate Dynamic Programming - Solving the Curses of Dimensionality , 2007 .

[16]  Marco Laumanns,et al.  Performance assessment of multiobjective optimizers: an analysis and review , 2003, IEEE Trans. Evol. Comput..

[17]  G. Fu,et al.  Sobol′’s sensitivity analysis for a distributed hydrological model of Yichun River Basin, China , 2013 .

[18]  P. Reed,et al.  A computational scaling analysis of multiobjective evolutionary algorithms in long-term groundwater monitoring applications , 2007 .

[19]  Pan Liu,et al.  Deriving multiple near‐optimal solutions to deterministic reservoir operation problems , 2011 .

[20]  Andrea Castelletti,et al.  Assessing water reservoirs management and development in Northern Vietnam , 2011 .

[21]  R. P. Oliveira,et al.  Operating rules for multireservoir systems , 1997 .

[22]  Laureano F. Escudero,et al.  Optimization in Water Resources , 2009, Encyclopedia of Optimization.

[23]  Demetris Koutsoyiannis,et al.  A parametric rule for planning and management of multiple‐reservoir systems , 1997 .

[24]  Reza Kerachian,et al.  A simplified model for reservoir operation considering the water quality issues: Application of the Young conflict resolution theory , 2008, Environmental monitoring and assessment.

[25]  Huifeng Zhang,et al.  An efficient multi-objective adaptive differential evolution with chaotic neuron network and its application on long-term hydropower operation with considering ecological environment problem , 2013 .

[26]  Slobodan P. Simonovic,et al.  Reservoir Systems Analysis: Closing Gap between Theory and Practice , 1992 .

[27]  J. Lund,et al.  Optimal Hedging and Carryover Storage Value , 2004 .

[28]  Avi Ostfeld,et al.  State of the Art for Genetic Algorithms and Beyond in Water Resources Planning and Management , 2010 .

[29]  Jianshi Zhao,et al.  Improved Dynamic Programming for Hydropower Reservoir Operation , 2014 .

[30]  Demetris Koutsoyiannis,et al.  Evaluation of the parameterization‐simulation‐optimization approach for the control of reservoir systems , 2003 .

[31]  Jasper A Vrugt,et al.  Improved evolutionary optimization from genetically adaptive multimethod search , 2007, Proceedings of the National Academy of Sciences.

[32]  Wei Xu,et al.  A two stage Bayesian stochastic optimization model for cascaded hydropower systems considering varying uncertainty of flow forecasts , 2014 .

[33]  D. G. Fontane,et al.  Multiobjective Analysis of Service-Water-Transmission Systems , 1997 .

[34]  Zoran Kapelan,et al.  Reducing the Complexity of Multiobjective Water Distribution System Optimization through Global Sensitivity Analysis , 2012 .

[35]  Patrick M. Reed,et al.  How effective and efficient are multiobjective evolutionary algorithms at hydrologic model calibration , 2005 .

[36]  William W.-G. Yeh,et al.  Reservoir Management and Operations Models: A State‐of‐the‐Art Review , 1985 .

[37]  M. Karamouz,et al.  Annual and monthly reservoir operating rules generated by deterministic optimization , 1982 .

[38]  Slobodan P. Simonovic,et al.  Optimal operation of water resource systems: trade-offs between modelling and practical solutions , 2001 .

[39]  Benoit Hingray,et al.  Seasonal patterns of water storage as signatures of the climatological equilibrium between resource and demand , 2014 .

[40]  Jian-xia Chang,et al.  Optimization of Water Resources Utilization by PSO-GA , 2013, Water resources management.

[41]  Jenq-Tzong Shiau,et al.  Derivation of Optimal Hedging Rules for a Water-supply Reservoir through Compromise Programming , 2005 .

[42]  Li Chen,et al.  Optimizing the reservoir operating rule curves by genetic algorithms , 2005 .

[43]  Patrick M. Reed,et al.  Advancing the identification and evaluation of distributed rainfall‐runoff models using global sensitivity analysis , 2007 .

[44]  Guangtao Fu,et al.  Improving multi-objective reservoir operation optimization with sensitivity-informed problem decomposition , 2015 .

[45]  J. Wayland Eheart,et al.  Reservoir management to balance ecosystem and human needs: Incorporating the paradigm of the ecological flow regime , 2006 .

[46]  J. J. Bogardi,et al.  Testing Stochastic Dynamic Programming Models Conditioned on Observed or Forecasted Inflows , 1991 .

[47]  David A. Van Veldhuizen,et al.  Evolutionary Computation and Convergence to a Pareto Front , 1998 .

[48]  K. Srinivasan,et al.  Effect of Hedging on Over-Year Reservoir Performance , 1998 .

[49]  Panos M. Pardalos,et al.  Approximate dynamic programming: solving the curses of dimensionality , 2009, Optim. Methods Softw..

[50]  Sharon A. Johnson,et al.  The Value of Hydrologic Information in Stochastic Dynamic Programming Models of a Multireservoir System , 1995 .

[51]  Frank T.-C. Tsai,et al.  Optimization of Hedging Rules for Reservoir Operations , 2008 .

[52]  Nien-Sheng Hsu,et al.  Optimization of Reservoir Management and Operation with Hedging Rules , 2003 .

[53]  Y. Mohamed,et al.  Optimal operation of a multipurpose multireservoir system in the Eastern Nile River Basin , 2010 .

[54]  Lothar Thiele,et al.  Multiobjective Optimization Using Evolutionary Algorithms - A Comparative Case Study , 1998, PPSN.