张春伟,崔国民,陈上

• 1:上海理工大学 新能源科学与工程研究所，上海 200093

摘要(Abstract)：

针对复杂换热网络混合整数非线性问题，提出了一种由混沌蚁群算法、局部搜索策略和结构进化策略组成的混合算法，同步综合换热网络。首先采用混沌蚁群算法初步优化换热网络，蚂蚁个体根据混沌搜索机制遍历整个求解域。随后引入Powell法作为局部搜索策略，加强蚂蚁个体的局部搜索能力。最后结合结构进化策略，限制算法的搜索空间，优化蚂蚁个体表示的换热网络结构，并将优化后的信息反馈。蚂蚁会根据自身、邻居和反馈的信息作进一步搜索，直到算法收敛于全局最优解。通过算例对算法进行验证，结果表明，混沌搜索机制使混合算法具有很好的全局搜索能力；Powell法加强了算法的局部搜索能力，提高了求解精度；结构进化策略能够有效地缩减搜索区间，提高搜索效率。所以混合算法能够很好地兼顾处理连续变量和整型变量，适用于换热网络综合。

关键词(KeyWords)： 换热网络综合;混沌蚁群算法;局部搜索策略;Powell法

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金（51176125）。

作者(Author): 张春伟,崔国民,陈上

DOI: 10.3969/j.issn.1003-9015.2016.00.035

参考文献(References)：

• [1] Ciric A R,Floudas C A.Heat exchanger network synthesis without decomposition[J].Computers & Chemical Engineering,1991,15(6):385-396.
  [2] Cai J,Ma X,Li Q,et al.A multi-objective chaotic ant swarm optimization for environmental/economic dispatch[J].International Journal of Electrical Power & Energy Systems,2010,32(5):337-344.
  [3] Peng H,Li L,Yang Y,et al.Parameter estimation of dynamical systems via a chaotic ant swarm[J].Physical Review E,2010,81(1):016207.
  [4] Wang J,Tang Z,Wang R.An annealed chaotic maximum neural network for bipartite subgraph problem[J].International Journal of Neural Systems,2004,14(02):107-116.
  [5] Ikeguchi T,Sato K,Hasegawa M,et al.Chaotic optimization for quadratic assignment problems[C]//Circuits and Systems,2002.ISCAS 2002.Scottsdale:IEEE International Symposium on.IEEE,2002,3:Ⅲ-469-Ⅲ-472.
  [6] Yuan Z Q,Huo Z J,Jiang C W.Economic dispatch and optimal power flow based on chaotic optimization[C]//Power System Technology,2002.Proceedings.Kunming:PowerCon 2002.International Conference on.IEEE,2002,4:2313-2317.
  [7] LI Li-xiang(李丽香).An optimization method inspired by ‘chaotic’ ant behavior and its applications(一种新的基于蚂蚁混沌行为的群智能优化算法及其应用研究)[D].Beijing(北京):Beijing University of Posts and Telecommunications(北京邮电大学),2006.
  [8] Yee T F,Grossmann I E.Simultaneous optimization models for heat integration-Ⅱ.Heat exchanger network synthesis[J].Computers & Chemical Engineering,1990,14(10):1165-1184.
  [9] FANG Da-jun(方大俊),CUI Guo-min(崔国民).Global optimization of heat exchanger networks using differential evolution algorithm(微分进化算法应用于换热网络全局最优化)[J].CIESC Journal(化工学报),2013,64(9):3285-3290.
  [10] Furman K C,Sahinidis N V.Computational complexity of heat exchanger network synthesis[J].Computers & Chemical Engineering,2001,25(9):1371-1390.
  [11] Yerramsetty K M,Murty C V S.Synthesis of cost-optimal heat exchanger networks using differential evolution[J].Computers & Chemical Engineering,2008,32(8):1861-1876.
  [12] Solé R V,Miramontes O,Goodwin B C.Oscillations and chaos in ant societies[J].Journal of Theoretical Biology,1993,161(3):343-357.
  [13] Powell M J D.An efficient method for finding the minimum of a function of several variables without calculating derivatives[J].The computer journal,1964,7(2):155-162.
  [14] Ravagnani M,Silva A P,Arroyo P A,et al.Heat exchanger network synthesis and optimization using genetic algorithm[J].Applied Thermal Engineering,2005,25(7):1003-1017.
  [15] Dipama J,Teyssedou A,Sorin M.Synthesis of heat exchanger networks using genetic algorithms[J].Applied Thermal Engineering,2008,28(14):1763-1773.
  [16] Zhu X X,Oneill B K,Roach J R,et al.A method for automated heat-exchanger network synthesis using block decomposition and nonlinear optimization[J].Chemical Engineering Research & Design,1995,73(8):919-930.
  [17] Peng F,Cui G.Efficient simultaneous synthesis for heat exchanger network with simulated annealing algorithm[J].Applied Thermal Engineering,2015,78:136-149.
  [18] Ahmad S.Heat exchanger networks:cost tradeoffs in energy and capital[D].Manchester:University of Manchester Institute of Science and Technology(UMIST),1985.
  [19] Ravagnani M,Silva A P,Arroyo P A,et al.Heat exchanger network synthesis and optimization using genetic algorithm[J].Applied Thermal Engineering,2005,25(7):1003-1017.
  [20] FANG Da-jun(方大俊),CUI Guo-min(崔国民).Optimization of heat exchanger networks with cooperation differential evolution algorithm based on penalty factors(基于罚因子协进化微分算法优化换热网络)[J].Journal of Chemical Engineering of Chinese Universities(高校化学工程学报),2015,29(2):407-412.
  [21] He Q,Cui G.A principle of stream arrangement based on uniformity factor for heat exchanger networks synthesis[J].Applied Thermal Engineering,2013,61(2):93-100.