Application of Chaotic Univariate Marginal Distribution Algorithm to Economic Dispatch Control of Cascade Hydropower Plants

Abstract:

The economic dispatch control of cascade hydropower plants is a large scale non-linear constrained optimization problem, which plays an important role in cascade reservoirs daily optimal. This paper proposes a chaotic univariate marginal distribution algorithm (CUMDA) to solve the economic dispatch problem of cascade hydropower plants. In the proposed method, a chaotic search is integrated with univariate marginal distribution algorithm (UMDA) to effectively avoid premature convergence, chaotic sequences combine with adaptive approach are applied to help algorithm escape from local optimal trap. The feasibility of the proposed method is demonstrated for economic dispatch control of a test cascade hydro system. The simulation results show that the proposed method can obtain higher quality solution.

• Periodical: Advanced Materials Research (Volumes 516-517)
• Pages: 1326-1331
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.516-517.1326
• Online since: May 2012
• Authors: Wei Gu, Yong Gang Wu, Jin Cheng Wu
• Keywords: Cascade Hydropower Plants, Chaotic, Economic Dispatch Control, Univariate Marginal Distribution Algorithm

References

[1] Tang J, Peter B. Hydrothermal scheduling via extended differential dynamic programming and mixed coordination. IEEE Trans Power Syst 1995;10(4):2021–8.

DOI: 10.1109/59.476071

[2] Piekutowski M. Optimal short-term scheduling for a large-scale cascaded hydro system. IEEE Trans Power Syst 1994;9(2):805–11.

DOI: 10.1109/59.317636

[3] Yuan Xiaohui, Zhang Yongchuan, Yuan Yanbin. Improved self-adaptive chaotic genetic algorithm for hydrogeneration scheduling. Journal of Water Resources Planning and Management. 2008: 134(4):319-325.

DOI: 10.1061/(asce)0733-9496(2008)134:4(319)

[4] P.K. Hota, A.K. Barisal, R. Chakrabarti. An improved PSO technique for short-term optimal hydrothermal scheduling. Electric Power Systems Research. 2009;79(2):1047-53.

DOI: 10.1016/j.epsr.2009.01.001

[5] Lakshminarasimman L, Subramanian S. A modified hybrid differential volution for short-term scheduling of hydrothermal power systems with cascaded reservoirs. Energy Convers Manage 2008;49(10):2513–21.

DOI: 10.1016/j.enconman.2008.05.021

[6] Zinchenko L, Radecker M, Bisogno F. Application of the univariate marginal distribution algorithm to mixed analogue-digital circuit design and optimization. Applications of Evolutionary Computing Proceedings, Berlin 2007:431-438．

DOI: 10.1007/978-3-540-71805-5_48

[7] Lozada-Chang Li-Vang, Santana Roberto. Univariate marginal distribution algorithm dynamics for a class of parametric functions with unitation constraints. Information Sciences. 2011, 181(11): 2340-55.

DOI: 10.1016/j.ins.2011.01.024

[8] Youlin Lu, Jianzhong Zhou, Hui Qin, Ying Wang, Yongchuan Zhang. An adaptive chaotic differential evolution for the short-term hydrothermal generation scheduling problem. Energy Convers Manage 2010;51(3):1481–90.

DOI: 10.1016/j.enconman.2010.02.006