Dynamic Differential Evolution Algorithm Based on Chaotic Sequences for Dynamic Economic Dispatch Problem of Power System

doi:10.11930/j.issn.1004-9649.2016.06.101.06

Abstract

Abstract: Differential evolution (DE) algorithm is applied to solve dynamic economic dispatch (DED) problem and a dynamic differential evolution based on chaotic sequences (ADDECS) is proposed. Chaotic sequences is used in dynamic parameter settings adjustment in DE to keep population diversity. Dynamic search strategies including both global and local search strategy are used to improve algorithm efficiency. To accelerate convergence and deal with complicated constraints of DED problem, constrained process mechanism based on multi-objective concepts is adopted. A new constraint process approach is proposed to allocate infeasible constraint violation proportionally among units according to their regulatory abilities. At the same time, different mutation strategies and improved random search are used to guide population evolution and to enhance global search ability. The feasibility and effectiveness of proposed method is verified on a 10-unit test system. Compared with other methods, ADDECS can obtain better solutions in shorter computational time along with higher robustness.

Key words: dynamic economic dispatch, chaotic sequences, differential evolution, dynamic search strategy, constraint handle

CLC Number:

TM761

CHEN Guangyu, DING Xiaoqun, BIAN Erman. Dynamic Differential Evolution Algorithm Based on Chaotic Sequences for Dynamic Economic Dispatch Problem of Power System[J]. Electric Power, 2016, 49(6): 101-106.

Add to citation manager EndNote|Ris|BibTeX

URL: https://www.electricpower.com.cn/EN/10.11930/j.issn.1004-9649.2016.06.101.06

https://www.electricpower.com.cn/EN/Y2016/V49/I6/101

References

[1] XIA X, ELAIW A M． Optimal dynamic economic dispatch of generation: A review[J]． Electric Power Systems Research, 2010, 80(8): 975-986．
[2] JABR R A, COONICK A H, CORY B J． A homogeneous linear programming algorithm for the security constrained economic dispatch problem[J]． IEEE Trans on Power System, 2000, 15(3):930-937．
[3] CHEN Chunlung． Non-convex economic dispatch: a direct search approach[J]． Energy Conversion and Management, 2007, 48(1):219-225．
[4] 高亚静，赵开轩，张占龙，等．含风电场与电动汽车充换电站的电力系统经济调度[J]. 中国电力，2013，46(11):84-88．
GAO Yajing, ZHAO Kaixuan, ZHANG Zhanlong, et al. Power system economic dispatch containing wind power and electric vehicle battery swap station [J]. Electric Power, 2013, 46(11): 84-88.
[5] 刘卓，黄纯，郭振华，等．饱和度自适应微分进化算法在电力经济调度中的应用[J]．电网技术，2011，35(2):100-104．
LIU Zhuo, HUANG Chun, GUO Zhenhua, et al． The application of saturation and adaptive differential evolution algorithm in economic dispatching of power grid [J]． Power System Technology, 2011, 35(2): 100-104．
[6] STORN R, PRICE K． Differential evolution-a simple and efficient heuristic for global optimization over continuous spaces[J]． Journal of Global Optimization, 1997, 11(4): 341-359．
[7] ATTAVIRIYANUPAP P, KITA H, TANAKA Eiichi, et al． A hybrid EP and SQP for dynamic economic dispatch with non- smooth fuel cost function[J]． IEEE Trans on Power Systems, 2002, 17(2): 411-416．
[8] VICTOIRE T A A, JEYAKUMAR A E． A modified hybrid EP-SQP approach for dynamic dispatch with valve-point effect[J]．International Journal of Electrical Power and Energy Systems，2005, 27(8): 594-601．
[9] VICTOIRE T A A, JEYAKUMAR A E． Deterministically guided PSO for dynamic dispatch considering valve-point effect[J]．Electric Power Systems Research, 2005, 73(3): 313-322, Mar 2005.
[10] LU Youlin, ZHOU Jianzhong, QIN Hui, et al． An adaptive hybrid differential evolution algorithm for dynamic economic dispatch with valve-point effects[J]． Expert Systems with Applications,2010, 37(7): 4842-4849．
[11] IMMANUEL S A． Enhanced cross-entropy method for dynamic economic dispatch with valve-point effects[J]． International Journal of Electrical Power and Energy Systems, 2011, 33(3):783-790．
[12] CAI Zixing, WANG Yong． A multiobjective optimization-based evolutionary algorithm for constrained optimization [J]． IEEE Trans on Evolutionary Computation, 2006, 10(6): 658-675．
[13] IMMANUEL S A, THANUSHKODI K. A new particle swarm optimization solution to nonconvex economic dispatch problems [J]. IEEE Trans on Power System, 2007, 22(1): 42-51．
[14] WANG Ying, ZHOU Jianzhong, LU Youlin, et al． Chaotic self- adaptive particle swarm optimization algorithm for dynamic economic dispatch problem with valve-point effects[J]． Expert Systems with Applications, 2011, 38(11): 14231-14237．
[15] HEMAMALINI S, SIMON S P． Dynamic economic dispatch using artificial immune system for units with valve-point effect[J]．International Journal of Electrical Power and Energy Systems，2011, 33(4): 868-874．
[16] NIKNAM T, GOLESTANEH F. Enhanced adaptive particle swarm optimization algorithm for dynamic economic dispatch of units considering valve-point effects and ramp rates[J]. IET Generation Transmission & Distribution, 2012, 6(5): 424-435.