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水电厂参与市场竞价问题研究
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摘要
随着我国电力市场体制改革的推进,水电将逐步走向市场成为竞争主体。由于自身的特性,水电厂在参与市场竞争的过程中,必然有诸多不同于火电厂的考虑。在电力市场中,水电站需要统筹安排调度期内各时段的用水量,并最终将这些信息转换为电站的报价策略,从而使水电站获得最大的经济效益。
     国内外关于电力市场下火电厂竟价上网优化运行的研究较多,而针对水电厂的研究较少。本文在分析了国内外电力市场理论研究现状的基础上,围绕水电厂报价方法和策略性竞价等主要问题展开研究,并取得了一些有价值的理论成果。
     首先,针对水电厂自身特性,研究了电力市场下日前市场中水电厂参与市场竞争的分容量段报价方法。建立定水头电站和变水头电站日前市场报价模型,构造增广矩阵,通过数学解析定水头电站水量平衡方程的耦合系数,为分析电价与用水量的关系提供了一种理论分析手段,为各时段的申报容量段与电价段之间建立了优化关系,进而实现以自优化用水计划为基准的容量段报价方法,隐含的考虑了电价的不确定性问题。而后针对水电站耗水微增率不可获取致使耦合系数无法解析的问题,给出了实现容量段报价的方法。从而,实现了水电站的分容量段报价方法,为水电厂完成有限水量在时段上的优化分配和各时段容量段报价实现自身发电效益最大化提供了完整的解决方案,相比单一容量投标的形式,能更好的满足水电厂用水限制,保证实现利润最大化。
     其次,研究了水电厂商作为Price-maker型“理性人”的策略性竞价问题。采用Cournot模型求解水电厂单时段均衡解,进而讨论均衡解关于用水边界的偏移问题和边界约束可置信问题,进而提出了考虑时段间用水相关性的整个用水调度期的策略性竞价方案,为水电厂商的竞价上网提供决策支持。最后,应用演进式博弈理论采用马尔萨斯动力系统微分方程探讨水电厂商在长期竞价过程中的动态均衡问题,试图从动态视角分析发电厂商的报价行为。
     最后,结合物理合同和金融合同两种方式,建立水电厂商考虑合同分解电量的容量段报价和策略性竞价模型。研究了水电厂商以保证合同分解电量为前提,根据负荷预测、机组竞价上网情况、机组性能等约束条件,优化制定日用水计划,并通过市场竞价实现利润最大化的问题。结合算例,分析了不同合同方式下的合同分解电量对于容量段报价方法和策略性报价的影响。
     文末提出了开展水电竞价上网工作需要继续努力的方面。
Along with electricity market reform advancement in China, the hydropower plants will gradually head for the market gradually and become competitive utility. Because of its characteristics, there must be a lot difference from the thermal power plants in consideration of participating in market competition for the hydropower plants. In the electricity market, the hydropower plants need to coordinate water usage during the periods of scheduling and eventually transform the information into the bidding strategy, thereby maximizing their economic benefit.
     Up to now, there are a lot of researches on the electricity market. However, the theoretical and practical validation of the researches was primarily based on thermal systems, and cannot be simply extrapolated to hydrothermal systems. Based on the analysis of present situation with regard to the theoretical research on electricity market, this paper is to develop some methodologies and tools centered on primary issues of bidding strategy and strategic bidding for hydropower plant, and conclude some valuable theoretical results.
     First of all, in consideration of its own characteristic the maximal benefit realization problem is carried out for hydropower plant's piecewise bidding with several bid price/quantity bands when participating in day-ahead market. Then The bidding models for constant water head and variable head hydropower plant are established and augmented matrix is developed, then the coupling coefficient of water balance equation is also mathematical analyzed, which provides a theoretical means of analyzing relation between bidding price and released water and builds an optimal relationship between the bidding quantity and price, to solve the piecewise bidding problem based on self-scheduling implicitly tackling the price uncertainty. The case of unavailable incremental water consumed is also discussed. Therefore, a complete solution for hydropower plant is presented, which has shown better performance of satisfying the hydropower plant water restrictions and ensuring the realization of profit maximization compared with the single bidding.
     Secondly, strategic bidding issues of hydropower plant as price-maker "rational" is studied. And Cournot model is used for solving one-stage equilibrium problem. Equilibrium migration and credibility threat is also discussed. Thereby the strategic bidding solution for the entire period considering temporal correlation is obtained to provide decision support for hydropower plant. Evolutionary game theory is introduced to study the Equilibrium problem for the long-term bidding process, trying to analysis the generation companies bidding behavior from dynamic perspective.
     Finally, combined with the physical contract and the finance contract, bidding models for piecewise bidding strategy and strategic bidding are established. Considering the contract, generation scheduling must be arranged to maximize benefit according to the relevant transaction scheduling and the status of bidding units on the premise of contract quantity decomposed. The different realization approaches are used to realize the optimal problem of different contracts and different bidding methods. Based on theoretical analysis of optimization condition, the piecewise bidding solution is got. Relaxing the contract quantity restraint to get the initial optimal solution and adjust to the satisfied solution. Influence of different contract on different bidding manner is discussed at last.
     At the end of paper, the possible problems and directions for further research are pointed out.
引文
[1]史丹.中国能源工业市场化改革研究报告.北京:经济管理出版社,2006
    [2]叶泽.电力竞争.北京:中国电力出版社,2004
    [3]李厚俊,全宏兴,余有胜,等.电力市场规则及水电竞价浅析.水电自动化大坝监测,2007,31(1):6-9
    [4]赵遵廉,辛耀中.电力市场运营系统.北京:中国电力出版社,2001
    [5]王益民.开创水电调度工作的新局面.水电自动化与大坝监测,2002,26(3):1-3
    [6]姜绍俊,陈小良,孙寿广,等.奥地利、西班牙、意大利、巴西的电网改革,中国电力,2001,34(5):68-72
    [7]曾勇红,王锡凡.电力市场下水电厂竞价综述.电力自动化设备,2006,26(10):101-106
    [8]丁震行,龙三强.电力市场中核电适应的交易方式与竞价方式探讨.核科学与工程,2006,26(1):9-15
    [9]多索.巴西大型水电系统的自动化.水利水电快报,2003,23(16):14-15
    [10] Fosso , Anders.Gjelsvik , Arne.Haugstad , et al. Generation Scheduling in a Deregulated System.The Norwegian case,1999,14(1):75-81
    [11]洛卫东.美国的水电开发(译自英刊《水电与大坝》2003年年刊).水利水电快报,2003,24(23):18-20
    [12]刘奇志,凌玉标,陈建国.挪威水电资源的开发和利用.西北水力发电,2004,24(3):65-68
    [13]范斌.加拿大安大略省的电力市场改革.中国电力企业管理,2005,(3):20-22
    [14]朱军.阿根廷电力改革印象.水力发电,1996,(4):62-64
    [15]戈伊克.克罗地亚的电力市场和水电.水利水电快报,2004,25(20):1-5
    [16] Luis Contesse,Patricio Donoso,Jose Prina.The Value of Information in a Long-term Hydro-thermal Electrical Planning Model.Inernational Transactions in Operational Research,2003,(10):89-100
    [17] Thomas J,Hammons H R,Barroso L A.Latin America:Deregulation in aHydro-Dominated Market.HCI Publications,2002,10(4):1-5
    [18] Scott T J,READ E G.Modelling Hydro Reservoir Operation in a Deregulated Electricity Market.International Transaction in Operational Research,1996,3(3):243-253
    [19]国家电力监管委员会.欧洲、澳洲电力市场.北京:中国电力出版社,2005
    [20] The Marketplace Company Ltd.新西兰电力市场规则.北京出版社,2005
    [21]袁智强,侯志俭,蒋传文,等.水火电系统古诺模型的均衡分析.电力系统自动化,2004,28(4):17-21
    [22]丁军威,胡旸,夏清,等.竞价上网中的水电优化运行.电力系统自动化,2002,26(3):19-23
    [23]尚金成,黄永皓,夏清,等.电力市场理论研究与应用.北京:中国电力出版社,2002
    [24]赵永龙,常晓青.电力市场模式下的水电调度探讨.中国电力,2000,33(11):62-64
    [25]李郁侠.电力市场边际电价预测与水电厂竞价上网模式研究:[博士学位论文].西安理工大学图书馆,2005
    [26] Borichevsky G.Bidding Mechanisms for Realizing Hydro Efficiencies in Market Operations.Power Engineering Society Summer Meeting.Power Engineering Society Summer Meeting,2002,3:1301-1309
    [27]吴东平,杨小谨.水电上网模式的讨论.水电自动化与大坝监测,2002,27(23):7-8
    [28]裴哲义,韩放.水电与电力市场.水电自动化与大坝监测,2002,26(1):1-4
    [29]李晓刚,言茂松,王珺珺.电力市场中水电的当量定价及其收支平衡分析.电力系统自动化,2001,25(9):1-5
    [30]任英敏.电力市场中水火电优化的调度.科技情报开发与经济,2003,13(11):137-138
    [31]蔡兴国,林士颖,马平,等.电力市场中梯级水电优化运行的研究.电网技术,2003,27(9):6-9
    [32]蔡兴国,林士颖,马平.现货交易中梯级水电站竞价上网的研究.中国电机工程学报,2003,23(8):56-59
    [33] Yu Z,Sparrow F T,Bowen B H.A New Long-term Hydro Producation Scheduling Method for Maximizing the Profit of Hydroelectric Systems.IEEE Transactions on Power Systems,1998,13(1):66-71
    [34] Kuo C C,Chen P H.Bi-Objective Hydroelectric Optimal Dispatch under Electricity Deregulated Environment.IEEE/PES Transmission and Distribution Conference and Exhibition,Asia and Pacific,2005.1-5
    [35] Villar J,Rudnick H.Hydrothermal Market Simulator Using Game Theory:Assessment of Market Power.IEEE Transactions on Power Systems,2003,18(1):91-98
    [36] Arroyo J M,Conejo A J.Optimal Response of a Thermal Unit to an Electricity Spot Market.IEEE Transactions on Power Systems,2000,15(3):1098-1104
    [37] Conejo A J,Contreras J,Arroyo J M,et al. Optimal Response of an Oligopolistic Generating Company to a Competitive Pool-based Electric Power Market.IEEE Transactions on Power Systems,2002,17(2):424-430
    [38] Lino P,Barroso L A,Fampa M,et al.Bid-Based Dispatch of Hydrothermal Systems in Competitive Markets.Annals of Operations Research,2003,12(1):81-97
    [39]吴至复,曾鸣,刘宝华,等.电力市场中的水火电优化调度模型及其应用.电网技术,2006,30(15):45-49
    [40] Maceira M.Chain of Optimization Models for Setting the Energy Dispatch and Spot Price in the Brazilian system.14th PSCC,Sevilla,2002.1-7
    [41] Conejo A J.Arroyo M,Contreras J,et al.A Self-Scheduling of a Hydro Producer in a Pool-Based Electricity Market.IEEE Transactions on Power Systems,2002,17(4):1265-1272
    [42] Mielczarski W,Widjaja M.Analysis of Bids and Re-bids of Generators in the Australian National Electricity Market.Power Engineering Society Winter Meeting,1998,13(3):833-838
    [43] Pritchard G , Zakeri G . Market Offering Strategies for Hydroelectric Generators.Operations Research,2003,51(4):602-612
    [44] Shawwash Z K,Siu T K,Russell S O.A Decision Support System for Short Term Hydropower Scheduling and Reservoir Managment in a Competitive Market.ASCE,2004.1-8
    [45] Olsson M,Soder L.Hydropower Planning Iincluding Trade-off Between Eenergy and Rreserve Market.IEEE Bologan Power Tech Conference,Italy,2003.93-100
    [46]马莉,文福拴,倪以信,等.考虑风险约束的发呆公司年报价策略研究.电力系统自动化,2003,27(23):6-11
    [47] Bjerkholt Olav.Uncertainty in Hhydroelectric Ppower Supply Energy Economics,1984,6(3):159-166
    [48]伍永刚,高英.一种基于预测电价的水电站报价方法研究.电工技术学报,2004,19(9):90-95
    [49]文福拴,David A K.电力市场中的投标策略.电力系统自动化,2000,7:1-5.
    [50] Ferro R W,Shahidehpour S M,Ramesh V C.Transaction Analysis in Deregulated Power Systems Using Game Theory.IEEE Transactions on Power Systems,1997,12(3):1340-1347
    [51] Wei J Y,Smeers Y.Spatial Oligopolistic Electicity Models with Cournot Generators and Regulate Transmission Prices.Operations Research,1999,47(1):102-112
    [52] Yu Z,Sparrow F T,Morin T L,et al.A Stackelberg price Leadership Model with Application to Deregulated Elcectricity Markets.Procceedings of IEEE Power Engineer Society,Singapor,2000.1814-1819
    [53] Anderson E J,Xu H.Supply Function Equilibrium in Electricity Spot Markets with Contracts and Pprice Caps.Optimization Theory and Applications,2005,124(2):257-283
    [54] Xiong G,Hashiyama T,Okuma S.An Electricity Supplier Bidding Strategy Through Q-learning.Proceedings of IEEE Power Engineering Society Summer Meeting,Chicago,2002.1516-1521
    [55] Vlachogiannis J G,Hatziargyriou N D.Reinforcement Learning for Reactive Power control.IEEE Transactions on Power Systems,2004,19(3):1317-1325
    [56]武智勇,康重庆,夏清,等.基于博弈论的发电商报价策略.电力系统自动化,2002,26(9):7-11
    [57]尚金成,张维存,刘洪杰,等.一种基于博弈论的发电商竞价策略模型与算法.电力系统自动化,2002 ,26(19):12-15
    [58] Wen FS,AK David.Optimally Coordinated Bidding Strategies in Energy and Ancillary Service Markets.IEE Proceeding of Generation.Transmission Distribution,2002,149(3):331-338
    [59] Borghetti A,Frangioni A,Lacalandra F,et al.Using of a Cost-based Unit Commitment Algorithm to Assist Bidding Strategy Decision . IEEE Bologna PowerTech,Italy,2003.112-118
    [60] Martini A,Pelacchi P,Pellegrini L,et al.A Simulation Tool For Short Term Electricity Markets.PICA,Sidney Australia,2001.1233-1243
    [61] Wen F S,David A K.Optimal Bidding Strategies and Modelling of Imperfect Information Among Competitive Generators.IEEE Transactions on Power Systems,2001,16(1):15-21
    [62] Martin A,Fuente L.New Forcasting Method for the Residual Demand Curves Using Time Series (ARIMA) Models.PMAPS,Naples Italy,2002.323-339
    [63] Emoliev Y.Stochastic Quasi-gradient Methods and Their Applicaiton to Systems Optimization.Stochastics,1983,4:1-37
    [64] Bacaud L,Lemarechal C,Renaud A,et al.Bundle Methods in Stochastic Optimal Power Management.Computational Optimization and Applications,2001,20:227-244
    [65] Batlle C, Barquin J.A Strategic Production Costing Model for Electricity Market Price Analysis.IEEE Transactions on Power Systems,2005,20(1):68-75
    [66] Yu Z,Uluca B.An Oligopoly Electricity Competition Model with Probabilistic Inflow & Demand Representations.8' International Conference on Probabilistic Methods Applied to Power Systems,Iowa,2004.380-385
    [67]黄永皓,尚金成,康重庆,等.电力中长期合约交易市场的运作机制及模型.电力系统自动化,2003,27(4):24-28
    [68]赖菲,于尔铿,韩祯祥.电力市场交易算法研究与实现.电力系统自动化,2002,26(22):16-21
    [69] Shrestha G B,Pokharel B K ,Lie T T,et al.Medium Term Power Planning With Bilateral Contracts.IEEE Transactions on power systems,2005,20(2):627-633
    [70]何莉,伍永刚,张勇传,等.梯级水电站短期调峰运行方式研究.水力发电,2006,32(5):71-74
    [71] ShebléG B,Fahd G N.Unit Commitment Literature Synopsis.IEEE Transactions on Power Systems,1994,9(1):128-135
    [72] Han XS,Gooi H B,Kirschen D S.Dynamic Economic Dispatch:Feasible and Optimal Solutions.IEEE Transactions on Power Systems,2001,16(1):22-28
    [73]胡家声,郭创新,曹一家.一种适合于电力系统机组组合问题的混合粒子群优化算法.中国电机工程学报,2004,24(4):24-28
    [74]倪佳燕.电力市场条件下的水火电联合经济调度研究.[硕士学位论文].福州大学图书馆,2002
    [75] Slobodan R C,Rajakovie N.A Flexible Approach to Short-term Hydro-thermal Coordination Part 1:Problem Formuation and General Solution Procedure.IEEE Transactions on Power Systems.1996,11(3):1564-1571
    [76] Howard R A.Dynamic Programming and Markov Progress.Cambridge:MIT Press,1960
    [77] Huang S J . Hydroelectric Generation Schdulinging an Application of Genetic-embedded Fuzzy System Approach.Electric Power Systems Research,1998,48(1):65-72
    [78] Liang R.H,Hsu YY.Scheduling of Hydroelectric Generation Units Using Articificial Neural Network.IEE Proceedings Generation,Transmission and Drstribution,1994,141(5):452-458
    [79] ShebléG B,Brittig K.Refine genetic algorithm-economic dispatch example.IEEE Transaction on Power Systems,1995,10(1):117-123
    [80] Wong S.Hybrid Simulated Annealing Genetic Algorithm Approach to Short-term Hydro-thermal Scheduling with Multiple Thermal Plants.Electrical power &Energy Systems,2001,23(7):565-575
    [81] Song Y H,Chou C S,Stonham T J.Combined Heat and Power Economic Dispatch by Improved ant Colony Search Algorithm.Electric Power Systems Research,1999,52(3):115-121
    [82] Yu B H,Yuan X H,Wang J W.Short-term Hydro-thermal Scheduling Using Particle Swarm Pptimization Method.Energy Conversion and Management,2007,48(7):1902-1908
    [83] Bai X M,Shahidehpour S.Hydro-thermal Scheduling by Tabu Search and Decomposition Method.IEEE Transaction on Power Systems,1996,11(2):968-974
    [84]王金文,范习辉,张勇传,等.大规模水电系统短期调峰电量最大模型及其求解.电力系统自动化,2003,27(15):29-34
    [85] Mario V F,Campodico N,Rafael K.Long-term Hydro Scheduling based on Stochastic Models,EPSOM 98,Zurich,1998:15-19
    [86]于尔铿.现代电力系统经济调度.(第一版).北京:水利电力出版社,1986.
    [87] Gonzalez J J,Basagoiti P.Spanish Power Exchange Market and Information system:Design Concepts and Operating experience.IEEE 21st International Confenrence Power Industry Compter Application,Sana Clara,1999.245-252
    [88] Kwok W,Shamsollahi C P,Sun D,et al.Energy and Ancillary Service Dispatch for the Interim ISO New England Electricity Market.IEEE Transactions on Power Systems,2000,15(3):968-974
    [89] Fosso O,Gjelsvik A,Haugstad A,et al.Generation Scheduling in a Deregulated System:The Norwegian Case.IEEE Transactions on power systems,1999,14(1):75-80
    [90] Galiana F D,Ren Y.Pay-as-Bid versus Marginal Pricing-Part I:Strategic Generator Offers.IEEE Transactions on Power Systems,2004,19(4):1771-1776
    [91] Ren Y,Galiana F D.Pay-as-Bid versus Marginal Pricing-Part II:Market Behavior Under Strategic Generator Offers.IEEE Transactions on Power Systems,2004,19(4):1777-1783
    [92] Mount T . Market Power and Price Volatility in Restructured Markets for Electricity.Decision Support Systems,2001,30(3):311-325
    [93] Er-nan N I.Forecasting Power Market Clearing Price and Its Discrete PDF Using a Bayesian-based Classification Method.IEEE Power Engineering Society Winter Meeting Columbus,2001.1518-1523
    [94] Schweppe F C,Caramanis M C,Tabors R D,et al.Spot Pricing of Electricity.Kluwer Academic Publishers,1988
    [95] Obradovic Z,Tomsovic K.Time Series Methods for Forecasting Electricity Market Pricing.IEEE PES,1999.1264-1265
    [96] Nogales F J,Contreras J,Conejo A J,et al.Forcasting Next-day Electricity Prices by time Series models.IEEE Transactions on Power Systems,2002,17:342-348
    [97] Angelus A.Electricity Price Forecasting in Deregulated Markets.The Electricity Journal,2001,14(3) :32-41
    [98] Szkuta B R,Sanabria L A,Dillon T S.Electricity Price Short-term Forecasting Using Artificial Neutal Network.IEEE Transactions on Power Systems,1999,14:851-857
    [99] Nilsson O,Sjelvgren D.Variable Splitting Applied to Modeling of Start-up Costs in Short Term Hydro generation Scheduling.IEEE Transactions on Power Systems,1997,12:770-775
    [100] Nilsson O,Sjelvgren D.Hydro Unit Start-up Costs and Their Impact on the Short Term Scheduling Strategies of Swedish Power Producers. IEEE Transactions on Power Systems,1997,12:38-44
    [101]李郁侠,赵军科,王伟.电力市场环境下水电站中长期运行优化调度.西安理工大学学报,2006,22(3):262-264
    [102]Bushnell,J.A Mixed Complementarity Model of Hydrothermal Electricity Competition in the Western United States.Operations Research, 2003,51(1):80-93
    [103]李灿,龚乐年,宋燕敏,等.PowerPool中发电公司的竞价策略.电力系统自动化,2001,25(6):12-15
    [104]施丽萍.电力市场定价方式及发电商投标对策的研究.[硕士学位论文].浙江大学图书馆,2002
    [105] Bright D.Energy and Reserve Coordination in a Decentralised Electricity Market.[PhD thesis],University of Canterbury,Department of Management.1996.
    [106]张维迎.博弈论与信息经济学.上海:三联书店上海人民出版社,2004.
    [107]Kreps M D.Game Theory and Economic Modeling.British:Oxford University Press,1990
    [108]姚建刚,周启亮,张佳启,等.基于期权理论的发电权交易模型.中国电机工程学报,2005,25(21):76-81
    [109]黎灿兵,康重庆,夏清,等.发电权交易及其机理分析.电力系统自动化,2003,27(6):13-18
    [110]Nccumann V.Theory of Games and Economic Behaviour.New Jersey.PrincetonUniversity Press,1999
    [111]Rusunen J.Dynamic Cooperative Electricity Exchange in a Power Pool.IEEE Transactions on SMC,1991,21(4):758-766
    [112]Schelling T.The Strategy of Conflict.Harvard University Press,1960
    [113]Aumann R.Subjectivity and Correlation in Randomized Strategies.Methematical Economics,1974,1:67-96
    [114]Aumann R.Communication Need Not Lead to Nash Equilibrium.Hebrew University of Jerusalem,1990
    [115]Shapley L.Some Topics in Two-person Games.Contributions to the Theory of Games:Princeton Annal of Mathematical Studies,1964,52:52-67
    [116] Drew F,Tirole J.Game Theory.MIT Press,1991
    [117] Montet C,Serra D.Game Theory & Economics.张琦译.北京:经济管理出版社,2005
    [118]张少华,李渝曾,王长军,等.电力市场中的远期合同交易.电力系统自动化,2001:6-11
    [119]Alvarado F.The Stability of Power Markets.IEEE Transactions on Power Systems,1999,14(2):505~511
    [120]张显,王锡凡,陈皓勇,等.电力市场中的双边合同.电力自动化设备,2003,23(11):77-86
    [121]Cheng,D.Economic Analysis of the Electricity Market in England and Wales.IEEE Power Engineering Review,1999,19(4):57-59
    [122]Mielczarski W,Michalik G.Open Electricity Markets in Australia:Contract and Spot Prices.IEEE Power Engineering Review,1999,19(2):49-51
    [123]Siddiqi S N.Project Valuation and Power Portfolio Management In A Competitive Market.IEEE Transactions on Power Systems,2000,15(1):116-121
    [124] Zhang P R,Jin E,Wu D K.Optimal Bidding and Contracting Strategies in the Deregulated Electric Power Market: Part I.Proceeding of International Conference on System Sciences,Hawaii,2001,34(1):1-10
    [125]任震,黄福全,黄雯莹,等.电力市场中的发电厂报价组合策略.电力系统自动化,2002,26(2):14-17
    [126]Yan H M,Yan H Z.Optimal Eenergy Purchases in Deregulated California Energy Markets . IEEE Power Engineering Society Winter Meeting , Singapore ,2000.1249-1254
    [127]Liu Y A,Guan X H.Purchase Allocation and Demand Bidding in Electric Power Markets.IEEE Transactions on Power Systems,2003,18(1):106-112
    [128]李伟,孙电.基于限量竞价的日发电计划编制.电网技术,2004,28(20):76-79
    [129]易俗,王文平,刘应梅,等.一种基于线性规划的交易管理实用算法.电网技术,2003,27(1):57-60
    [130]Xing W G,Wu F F.Genetic Algorithm Based Unit Commitment with Energy Contracts.International Journal of Electrical Power and Energy Systems,2002,24(5):329-336
    [131]王雁凌,张粒子,舒隽,等.合同交易量和竞价交易量在日计划中的经济分配.电力系统自动化,2002,(5):45-47
    [132]蒋东荣,刘学军,李群湛.电力市场环境下电网日发电计划的电量经济分配策略.中国电机工程学报,2004,24(7):90-94
    [133]吕泉,武亚光,王海霞,等.制定电力市场中机组合同交易电量日出力计划的一种经济策略.电网技术,2006,30(14):71-76
    [134]王漪,于继来,柳绰.基于月度竞价空间滚动均衡化的年中标电量分解.电力系统自动化,2006,30(17):24-28
    [135]Wu Y G,Ho C Y,Wang D Y.A Diploid Genetic Approach to Short-Term Scheduling of Hydro-Thermal System.IEEE Transactions on Power Systems,2000,15(2):1268-1274
    [136]伍永刚,Murphy H.遗传算法的群体模式多样性与模式生长方程(Ⅱ).水电能源科学,1999,17(4):5-8
    [137] He L,Wu Y G.Research on Mutation Operator of Diploid Genetic Algorithm and its Dynamic Adaptation Strategy.2006 International Conference on Machine Learning and Cybernetics,Dalian,2006.2117-2122

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