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Finding Multiple Optimal Solutions to Optimal Load Distribution Problem in Hydropower Plant
State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China
Ven Te Chow Hydrosystems Laboratory, Department of Civil and Environmental Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA
Schools of Mathematics and Management, University of Southampton, Southampton, SO17 1BJ, UK
College of Water Sciences, Beijing Normal University, Beijing 100875, China
* Author to whom correspondence should be addressed.
Received: 29 March 2012; in revised form: 6 May 2012 / Accepted: 8 May 2012 / Published: 15 May 2012
Abstract: Optimal load distribution (OLD) among generator units of a hydropower plant is a vital task for hydropower generation scheduling and management. Traditional optimization methods for solving this problem focus on finding a single optimal solution. However, many practical constraints on hydropower plant operation are very difficult, if not impossible, to be modeled, and the optimal solution found by those models might be of limited practical uses. This motivates us to find multiple optimal solutions to the OLD problem, which can provide more flexible choices for decision-making. Based on a special dynamic programming model, we use a modified shortest path algorithm to produce multiple solutions to the problem. It is shown that multiple optimal solutions exist for the case study of China’s Geheyan hydropower plant, and they are valuable for assessing the stability of generator units, showing the potential of reducing occurrence times of units across vibration areas.
Keywords: hydropower; optimal load distribution; multiple optimal solutions; dynamic programming
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MDPI and ACS Style
Liu, P.; Nguyen, T.-D.; Cai, X.; Jiang, X. Finding Multiple Optimal Solutions to Optimal Load Distribution Problem in Hydropower Plant. Energies 2012, 5, 1413-1432.
Liu P, Nguyen T-D, Cai X, Jiang X. Finding Multiple Optimal Solutions to Optimal Load Distribution Problem in Hydropower Plant. Energies. 2012; 5(5):1413-1432.
Liu, Pan; Nguyen, Tri-Dung; Cai, Ximing; Jiang, Xinhao. 2012. "Finding Multiple Optimal Solutions to Optimal Load Distribution Problem in Hydropower Plant." Energies 5, no. 5: 1413-1432.