Improved Dynamic Programming for Hydropower Reservoir Operation
Publication: Journal of Water Resources Planning and Management
Volume 140, Issue 3
Abstract
The writers propose a successive improved dynamic programming (SIDP) algorithm for hydropower reservoir operation based on an analysis of concavity, complementarity, and monotonicity of hydropower problems. For single-period hydropower generation, storage and release have diminishing marginal contributions to hydropower generation (i.e., concavity), and there is also a complementary effect between storage and release (i.e., release becomes more productive in accordance with increasing storage). For multiple-period hydropower generation, the complementarity influences the concavity of the objective function and the monotonicity of operation decisions, and is the major cause of complexity in hydropower operation. With mathematical derivations, the writers propose a concave approximation to the hydropower generation function and a SIDP algorithm for hydropower reservoir operation. The efficiency of SIDP is demonstrated with two hypothetical case studies of long-term hydropower scheduling, which shows that the computation time of SIDP increases linearly in accordance with the number of storage intervals [i.e., ], whereas dynamic programming (DP) shows a quadratic increase [i.e., ].
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Acknowledgments
The writers are grateful to the Associate Editor and the two anonymous reviewers for their constructive suggestions, which led to major improvements in this paper. The writers are also grateful to Spencer Schnier for his editorial assistance in this paper. This research was supported by the National Natural Science Foundation of China (Project No. 51179085) and the Ministry of Science and Technology of China (Project No. 2011BAC09B07 and 2013BAB05B03).
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Published In
Journal of Water Resources Planning and Management
Volume 140 • Issue 3 • March 2014
Pages: 365 - 374
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Apr 11, 2012
Accepted: Dec 27, 2012
Published online: Dec 29, 2012
Discussion open until: May 29, 2013
Published in print: Mar 1, 2014
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