

FOLLOWUS
Electrical Engineering Department, University of Engineering and Technology, Taxila 47050, Pakistan
†E-mail:tahir.nadeem@uettaxila.edu.pksalman.zafar@ucp.edu.pk
‡Corresponding Author
Received:18 May 2014,
Revised:2015-03-04,
Accepted:22 October 2014,
Published:2015-03
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Malik Nadeem, Zafar Salman, Haroon Saaqib. An improved chaotic hybrid differential evolution for the short-term hydrothermal scheduling problem considering practical constraints[J]. Frontiers of Information Technology & Electronic Engineering, 2015, 16(5): 404-417.
Malik Nadeem, Zafar Salman, Haroon Saaqib. An improved chaotic hybrid differential evolution for the short-term hydrothermal scheduling problem considering practical constraints[J]. Frontiers of Information Technology & Electronic Engineering, 2015, 16(5): 404-417. DOI: 10.1631/FITEE.1400189.
目的
2
短期水-火电系统调度(STHTS)是含有一系列水、火电操作限制的非线性复杂最优化问题。此前,该问题已由许多常规方法解决。由于该问题代价曲线具有非线性和非凸性特点,人工智能方法也开始被应用于STHTS。在考虑现实限制条件的情况下,本文提出一种改进的混沌混合差分计划算法以获取STHTS的最优解。
创新点
2
针对差分进化存在控制参数为常数且获取时间较耗时和早熟收敛的问题,着重处理自调整参数集,通过防止早熟收敛和处理复杂限制提升差分进化的性能。
方法
2
本文方法流程(图1)关键点为:应用混沌理论获得差分进化中的自调整控制参数集;将混沌混合局部搜索机制应用于差分进化以有效防止其陷入早熟收敛;最后,应用不含惩罚因子集的启发式约束处理方解决水-火电的复杂限制。
结论
2
本文方法的优势和有效性在以往文献提出的两个虚拟水-火电测试系统上进行了评估(Lakshminarasimman and Subramanian (2008))。此外,传输线损耗、水电站禁止排放区、火电站斜率限制等因素也被纳入仿真环境。仿真结果表明,与最近提出的其他进化方法相比,本文方法在降低水-火电系统成本和减少计算时间方面有竞争力。
Short-term hydrothermal scheduling (STHTS) is a non-linear and complex optimization problem with a set of operational hydraulic and thermal constraints. Earlier
this problem has been addressed by several classical techniques; however
due to limitations such as non-linearity and non-convexity in cost curves
artificial intelligence tools based techniques are being used to solve the STHTS problem. In this paper an improved chaotic hybrid differential evolution (ICHDE) algorithm is proposed to find an optimal solution to this problem taking into account practical constraints. A self-adjusted parameter setting is obtained in differential evolution (DE) with the application of chaos theory
and a chaotic hybridized local search mechanism is embedded in DE to effectively prevent it from premature convergence. Furthermore
heuristic constraint handling techniques without any penalty factor setting are adopted to handle the complex hydraulic and thermal constraints. The superiority and effectiveness of the developed methodology are evaluated by its application in two illustrated hydrothermal test systems taken from the literature. The transmission line losses
prohibited discharge zones of hydel plants
and ramp rate limits of thermal plants are also taken into account. The simulation results reveal that the proposed technique is competent to produce an encouraging solution as compared with other recently established evolutionary approaches.
N Amjady , HR Soleymanpour . Daily hydrothermal generation scheduling by a new modified adaptive particle swarm optimization technique . Electr Power Syst Res , 2010 . 80 ( 6 ): 723 - 732 . DOI: 10.1016/j.epsr.2009.11.004 http://doi.org/10.1016/j.epsr.2009.11.004 .
M Basu . Improved differential evolution for short-term hydrothermal scheduling . Int J Electr Power Energy Syst , 2014 . 58 91 - 100 . DOI: 10.1016/j.ijepes.2013.12.016 http://doi.org/10.1016/j.ijepes.2013.12.016 .
K Bhattacharjee , A Bhattacharya , S Halder Nee Dey . Oppositional real coded chemical reaction based optimization to solve short-term hydrothermal scheduling problems . Int J Electr Power Energy Syst , 2014 . 63 145 - 157 . DOI: 10.1016/j.ijepes.2014.05.065 http://doi.org/10.1016/j.ijepes.2014.05.065 .
R Caponetto , L Fortuna , S Fazzino , 等 . Chaotic sequences to improve the performance of evolutionary algorithms . IEEE Trans Evol Comput , 2003 . 7 ( 3 ): 289 - 304 . DOI: 10.1109/TEVC.2003.810069 http://doi.org/10.1109/TEVC.2003.810069 .
GW Chang , M Aganagic , JG Waight , 等 . Experiences with mixed integer linear programming based approaches on short-term hydro scheduling . IEEE Trans Power Syst , 2001 . 16 ( 4 ): 743 - 749 . DOI: 10.1109/59.962421 http://doi.org/10.1109/59.962421 .
SC Chang , CH Chen , IK Fong , 等 . Hydro-electric generation scheduling with an effective differential dynamic programming algorithm . IEEE Trans Power Syst , 1990 . 5 ( 3 ): 737 - 743 . DOI: 10.1109/59.65900 http://doi.org/10.1109/59.65900 .
LDS Coelho , CS Lee . Solving economic load dispatch problems in power systems using chaotic and Gaussian particle swarm optimization approaches . Int J Electr Power Energy Syst , 2008 . 30 ( 5 ): 297 - 307 . DOI: 10.1016/j.ijepes.2007.08.001 http://doi.org/10.1016/j.ijepes.2007.08.001 .
N Fang , J Zhou , R Zhang , 等 . A hybrid of real coded genetic algorithm and artificial fish swarm algorithm for short-term optimal hydrothermal scheduling . Int J Electr Power Energy Syst , 2014 . 62 617 - 629 . DOI: 10.1016/j.ijepes.2014.05.017 http://doi.org/10.1016/j.ijepes.2014.05.017 .
E Gil , J Bustos , H Rudnick . Short-term hydro-thermal generation scheduling model using a genetic algorithm . IEEE Trans Power Syst , 2003 . 18 ( 4 ): 1256 - 1264 . DOI: 10.1109/TPWRS.2003.819877 http://doi.org/10.1109/TPWRS.2003.819877 .
P Hota , A Barisal , R Chakrabarti . An improved PSO technique for short-term optimal hydrothermal scheduling . Electr Power Syst Res , 2009 . 79 ( 7 ): 1047 - 1053 . DOI: 10.1016/j.epsr.2009.01.001 http://doi.org/10.1016/j.epsr.2009.01.001 .
FN Kong , JK Wu . Cultural algorithm based short-term scheduling of hydrothermal power systems . 2010 . Int. Conf. on E-Product E-Service and E-Entertainment . 1 - 4 . DOI: 10.1109/ICEEE.2010.5661578 http://doi.org/10.1109/ICEEE.2010.5661578 .
S Kumar , R Naresh . Efficient real coded genetic algorithm to solve the non-convex hydrothermal scheduling problem . Int J Electr Power Energy Syst , 2007 . 29 ( 10 ): 738 - 747 . DOI: 10.1016/j.ijepes.2007.06.001 http://doi.org/10.1016/j.ijepes.2007.06.001 .
L Lakshminarasimman , S Subramanian . Short-term scheduling of hydrothermal power system with cascaded reservoirs by using modified differential evolution . 2006 . IEE Proc.-Gener. Transm. Distr . ( 6 ): 693 - 700 . DOI: 10.1049/ip-gtd:20050407 http://doi.org/10.1049/ip-gtd:20050407 .
L Lakshminarasimman , S Subramanian . A modified hybrid differential evolution for short-term scheduling of hydrothermal power systems with cascaded reservoirs . Energy Conv Manag , 2008 . 49 ( 10 ): 2513 - 2521 . DOI: 10.1016/j.enconman.2008.05.021 http://doi.org/10.1016/j.enconman.2008.05.021 .
CA Li , PJ Jap , DL Streiffert . Implementation of network flow programming to the hydrothermal coordi-nation in an energy management system . IEEE Trans Power Syst , 1993 . 8 ( 3 ): 1045 - 1053 . DOI: 10.1109/59.260895 http://doi.org/10.1109/59.260895 .
X Liao , J Zhou , S Ouyang , 等 . An adaptive chaotic artificial bee colony algorithm for short-term hydrothermal generation scheduling . Int J Electr Power Energy Syst , 2013 . 53 34 - 42 . DOI: 10.1016/j.ijepes.2013.04.004 http://doi.org/10.1016/j.ijepes.2013.04.004 .
S Lu , C Sun , Z Lu . An improved quantum-behaved particle swarm optimization method for short-term combined economic emission hydrothermal scheduling . Energy Conv Manag , 2010 . 51 ( 3 ): 561 - 571 . DOI: 10.1016/j.enconman.2009.10.024 http://doi.org/10.1016/j.enconman.2009.10.024 .
Y Lu , J Zhou , H Qin , 等 . An adaptive chaotic differential evolution for the short-term hydrothermal generation scheduling problem . Energy Conv Manag , 2010 . 51 ( 7 ): 1481 - 1490 . DOI: 10.1016/j.enconman.2010.02.006 http://doi.org/10.1016/j.enconman.2010.02.006 .
R Mallipeddi , PN Suganthan , QK Pan , 等 . Differential evolution algorithm with ensemble of parameters and mutation strategies . Appl Soft Comput , 2011 . 11 ( 2 ): 1679 - 1696 . DOI: 10.1016/j.asoc.2010.04.024 http://doi.org/10.1016/j.asoc.2010.04.024 .
K Mandal , N Chakraborty . Differential evolution technique-based short-term economic generation sche-duling of hydrothermal systems . Electr Power Syst Res , 2008 . 78 ( 11 ): 1972 - 1979 . DOI: 10.1016/j.epsr.2008.04.006 http://doi.org/10.1016/j.epsr.2008.04.006 .
KK Mandal , M Basu , N Chakraborty . Particle swarm optimization technique based short-term hydro-thermal scheduling . Appl Soft Comput , 2008 . 8 ( 4 ): 1392 - 1399 . DOI: 10.1016/j.asoc.2007.10.006 http://doi.org/10.1016/j.asoc.2007.10.006 .
E Mezura-Montes , J Velázquez-Reyes , CA Coello Coello . A comparative study of differential evolution variants for global optimization . 2006 . Proc. 8th Annual Conf. on Genetic and Evolutionary Computation . 485 - 492 . DOI: 10.1145/1143997.1144086 http://doi.org/10.1145/1143997.1144086 .
M Mohan , K Kuppusamy , MA Khan . Optimal short-term hydrothermal scheduling using decomposi-tion approach and linear programming method . Int J Electr Power Energy Syst , 1992 . 14 ( 1 ): 39 - 44 . DOI: 10.1016/0142-0615(92)90007-V http://doi.org/10.1016/0142-0615(92)90007-V .
M Pereira , L Pinto . Application of decomposition techniques to the mid- and short-term scheduling of hydrothermal systems . IEEE Trans Power Appar Syst , 1983 . PAS-102 ( 11 ): 3611 - 3618 . DOI: 10.1109/TPAS.1983.317709 http://doi.org/10.1109/TPAS.1983.317709 .
M Piekutowski , T Litwinowicz , R Frowd . Optimal short-term scheduling for a large-scale cascaded hydro system . IEEE Trans Power Syst , 1994 . 9 ( 2 ): 805 - 811 . DOI: 10.1109/59.317636 http://doi.org/10.1109/59.317636 .
NJ Redondo , A Conejo . Short-term hydro-thermal coordination by Lagrangian relaxation: solution of the dual problem . IEEE Trans Power Syst , 1999 . 14 ( 1 ): 89 - 95 . DOI: 10.1109/59.744490 http://doi.org/10.1109/59.744490 .
PK Roy . Teaching learning based optimization for short-term hydrothermal scheduling problem considering valve point effect and prohibited discharge constraint . Int J Electr Power Energy Syst , 2013 . 53 10 - 19 . DOI: 10.1016/j.ijepes.2013.03.024 http://doi.org/10.1016/j.ijepes.2013.03.024 .
L Shan , H Qiang , J Li , 等 . Chaotic optimization algorithm based on tent map . Contr Dec , 2005 . 20 ( 2 ): 179 - 182 . .
N Sinha , R Chakrabarti , P Chattopadhyay . Fast evolutionary programming techniques for short-term hydrothermal scheduling . Electr Power Syst Res , 2003 . 66 ( 2 ): 97 - 103 . DOI: 10.1016/S0378-7796(03)00016-6 http://doi.org/10.1016/S0378-7796(03)00016-6 .
R Storn , K Price . Differential evolution—a simple and efficient heuristic for global optimization over continuous spaces . J Glob Optim , 1997 . 11 ( 4 ): 341 - 359 . DOI: 10.1023/A:1008202821328 http://doi.org/10.1023/A:1008202821328 .
R Swain , A Barisal , P Hota , 等 . Short-term hydrothermal scheduling using clonal selection algo-rithm . Int J Electr Power Energy Syst , 2011 . 33 ( 3 ): 647 - 656 . DOI: 10.1016/j.ijepes.2010.11.016 http://doi.org/10.1016/j.ijepes.2010.11.016 .
J Tang , PB Luh . Hydrothermal scheduling via extended differential dynamic programming and mixed coordination . IEEE Trans Power Syst , 1995 . 10 ( 4 ): 2021 - 2028 . DOI: 10.1109/59.476071 http://doi.org/10.1109/59.476071 .
A Turgeon . Optimal short-term hydro scheduling from the principle of progressive optimality . Water Resourc Res , 1981 . 17 ( 3 ): 481 - 486 . DOI: 10.1029/WR017i003p00481 http://doi.org/10.1029/WR017i003p00481 .
Y Wang , J Zhou , L Mo , 等 . Short-term hydro-thermal generation scheduling using differential real-coded quantum-inspired evolutionary algorithm . Energy , 2012 . 44 ( 1 ): 657 - 671 . DOI: 10.1016/j.energy.2012.05.026 http://doi.org/10.1016/j.energy.2012.05.026 .
K Wong , Y Wong . Short-term hydrothermal scheduling . 1994 . I. Simulated annealing approach. IEE Proc.-Gener. Transm. Distr . ( 5 ): 497 - 501 . DOI: 10.1049/ip-gtd:19941350 http://doi.org/10.1049/ip-gtd:19941350 .
K Wong , Y Wong . Short-term hydrothermal scheduling . 1994 . II. Parallel simulated annealing approach. IEE Proc.-Gener. Transm. Distr . ( 5 ): 502 - 506 . DOI: 10.1049/ip-gtd:19941351 http://doi.org/10.1049/ip-gtd:19941351 .
JS Yang , N Chen . Short term hydrothermal coordination using multi-pass dynamic programming . IEEE Trans Power Syst , 1989 . 4 ( 3 ): 1050 - 1056 . DOI: 10.1109/59.32598 http://doi.org/10.1109/59.32598 .
PC Yang , HT Yang , CL Huang . Scheduling short-term hydrothermal generation using evolutionary programming techniques . 1996 . IEE Proc.-Gener. Transm. Distr . ( 4 ): 371 - 376 . DOI: 10.1049/ip-gtd:19960463 http://doi.org/10.1049/ip-gtd:19960463 .
X Yuan , Y Yuan . Application of cultural algorithm to generation scheduling of hydrothermal systems . Energy Conv Manag , 2006 . 47 ( 15-16 ): 2192 - 2201 . DOI: 10.1016/j.enconman.2005.12.006 http://doi.org/10.1016/j.enconman.2005.12.006 .
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