低温发电有机朗肯循环优化及辐流式汽轮机性能研究
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摘要
开发及回收低温热能资源,不仅能够为人类提供宝贵的能源,且有利于保护环境,具有促进人类社会可持续发展的重要意义。有机朗肯循环(Organic RankineCycle,ORC)技术在低温热能转换利用领域具有显著优势,辐流式汽轮机(Radialflow turbine)是低温热能资源驱动ORC系统的适宜膨胀部件。本文围绕低温发电ORC系统性能的优化,开展了ORC工质和循环参数的优化研究、辐流式汽轮机性能研究,旨在为低温发电ORC系统的优化设计和变工况条件下的优化调节提供参考依据。
     基于90oC的热水型低温热能和30oC的冷凝温度,以比净功(单位热源水质量流量对应的净输出功率P n et/m water,H)为目标函数,采用基于指定窄点温差值的循环性能分析方法,对亚临界ORC、近临界ORC(蒸发压力或超临界加热压力接近临界压力)、跨临界ORC开展了工质和循环参数优化研究。考察工质范围涉及33种有机工质。注意到近临界ORC蒸发器中传热窄点位置前移到工质泡点之前,以计算热源水放热过程温度曲线和工质吸热过程曲线的方式,确定窄点位置。结果表明:(1)循环参数对系统性能有重要影响,存在最优循环参数使得各个特定循环特定工质系统的比净功最大;(2)工质的性质对系统性能有重要影响,存在最优工质使得特定循环系统的比净功最大;(3)循环选择对低温发电系统的性能有重要影响,亚临界ORC系统给出的比净功最小(最优工质为HFC32、其在最优循环参数下的最大比净功为8.83kJ/kg),跨临界ORC系统给出比净功最大(最优工质为HFC41、其在最优循环参数下的最大比净功为9.98kJ/kg),近临界ORC系统的比净功介于亚临界ORC系统与跨临界ORC系统之间。
     近临界ORC系统一方面具有比净功优于亚临界ORC系统,而压力水平低于跨临界ORC系统、吸热过程中工质的换热性能优于跨临界ORC系统的优点,另一方面由于工质物性在近临界区域剧烈变化,可能会影响系统的工作稳定性,对近临界ORC系统进行了工作稳定性分析研究。考虑到近临界ORC的优缺点,开展了近临界ORC性能及稳定性研究。首先,对于既可用于亚临界ORC、亦可用于跨临界ORC的3种有机工质HFC125、HFC143a、FC218,考察了其从亚临界ORC向跨临界ORC过渡过程中循环性能的变化特性。结果表明,比净功、工质质量流量和循环热效率均连续过渡,但最大比净功对应的循环参数可能位于近临界ORC的亚临界工况、也可能位于近临界ORC的跨临界工况,因工质而异。HFC125、FC218的最大比净功均出现在跨临界工况,分别为9.76kJ/kg、9.20kJ/kg;HFC143a最大比净功出现在亚临界工况,为8.96kJ/kg。其次,基于蒸发器或超临界加热器换热面积,探讨了近临界ORC系统循环工作稳定性。结果表明,随着蒸发压力或超临界加热压力逼近临界压力,蒸发器或超临界加热器的换热面积对工况的敏感度越来越大。因此,为保证循环系统工作稳定性,不建议采用近临界ORC系统。
     为低温发电系统优化热力设计辐流式汽轮机,依据一元流动理论及工质膨胀规律,开展了辐流式汽轮机变工况性能及相关调节方法的研究。结果表明,对于辐流式汽轮机出口背压的变化,可采用调节汽轮机转速和更换适当喷嘴等调节方法进行调节;对于辐流式汽轮机工质质量流量的变化,采用部分进气调节法和变化喷嘴角度调节法可以获得较好的调节效果;对于辐流式汽轮机进口压力的变化,可采用调节汽轮机转速和更换适当喷嘴调节方法进行调节。
     针对课题组现有辐流式汽轮机喷嘴设计缺陷,以辐流式汽轮机变工况调节为方向,为辐流式汽轮机自制可调换喷嘴。以HFC245fa和HCFC123为工质,研究渐缩喷嘴汽轮机和缩放喷嘴汽轮机性能随汽轮机进口压力和汽轮机转速的变化特性。结果表明:(1)汽轮机等熵效率随转速存在极大值(如工质为HFC245fa,汽轮机进口压力为0.3MPa,汽轮机进口温度为85oC,汽轮机出口压力为0.165MPa时,最优转速约为5000rpm);(2)渐缩喷嘴汽轮机在低汽轮机进口压力的工况中具有优势,而缩放喷嘴汽轮机在高汽轮机进口压力下具有优势;(3)HCFC123的汽轮机等熵效率高于HFC245fa的汽轮机等熵效率。在课题组现有低温发电ORC实验系统基础上,搭建辐流式汽轮机发电系统部分。基于90oC的热水型低温热能和30oC的冷凝温度,分别以HFC245fa和HCFC123为工质,以比电功(单位热源水质量流量对应的发电功率,P g e/m water,H)最大优化循环蒸发温度。结果表明,渐缩喷嘴汽轮机采用HFC245fa时,蒸发温度为69.16oC时比电功最大值为1.278kJ/kg。基于90oC的热水型低温热能和75oC的蒸发温度,分别以HFC245fa和HCFC123为工质,以比电功最大优化循环冷凝温度。结果表明,缩放喷嘴汽轮机采用HFC245fa时,冷凝温度为29.07oC时比电功最大值为0.893kJ/kg。HFC245fa的循环性能优于HCFC123的循环性能。基于实验数据,开展了负载电阻对汽轮机转速控制规律和发电机效率变化规律的研究。结果表明,汽轮机转速随负载电阻的增大而增大;传动-发电效率随转速存在极大值;转速一定时发电机效率随负载电阻的增大而减小。
Exploiting and recovering low grade energy can supply precious energy tohuman and be propitious to protecting environment. In a word, it is significant tosustainable development of human society. Organic Rankine cycle (ORC) technologyis advantaged in conversion and usage of low grade energy. Radial flow turbine isfeasible in ORC system with low grade energy. In order to give reference onoptimization design of ORC power generation system with low grade energy andoptimization regulation in varies conditions, this dissertation investigated onoptimization of ORC working fluids and cycle parameters and performance analysison radial flow turbine with paying attention to performance optimization of ORCsystem.
     Based on90°C low grade energy source with type of hot water, with condensingtemperature of30°C, with specific net power (net power with unit mass flow rate ofhot water,P n et/m water,H) as objective function, using cycle performance analysismethod with specified pinch point temperature difference, optimization of workingfluids and cycle parameters for subcritical ORC, near-critical ORC (with evaporatingpressure or supercritical heating pressure being closed to critical pressure) andtranscritical ORC was executed.33organic fluids were considered. With attention tothat pinch point position in evaporator shifts to the front of bubble point fornear-critical ORC, pinch point position was specified by calculating the twotemperature curves of hot water and working fluid. The results showed that:(1) cycleparameters were of importance to cycle performance and there were optimal cycleparameters for maximum specific net power for each specified cycle and workingfluid;(2) fluid property was of importance to cycle performance and there wasoptimal working fluid for maximum specific net power for specified cycle;(3)selection of cycle was of importance to cycle performance, subcritical ORC gave theleast specific net power (the optimal fluid is HFC32with the maximum value of8.83kJ/kg), transcritical ORC gave the largest specific net power (the optimal fluid isHFC41with the maximum value of9.98kJ/kg) and near-critical ORC gave mediumcycle performance between subcritical ORC and transcritical ORC.
     Near-critical ORC gave larger specific net power than subcritical ORC and hadlower cycle pressure than transcritical ORC, on the other side fluid property variedstrongly in near-critical region, which may influence the system stability. Withattention to the advantage and disadvantage, performance and stability of near-criticalORC were investigated on. Firstly, for HFC125, HFC143a and FC218which could beused in both subcritical and transcritical ORC, the transition process from subcriticalORC to transcritical ORC was studied on. The results showed that: specific net power,mass flow rate of working fluid and thermal efficiency varies continually fromsubcritical ORC and transcritical ORC; the maximum specific net power appeared insubcritical condition or in transcritical condition, which is specified by fluid (HFC125and FC218gave the maximum values of9.76kJ/kg and9.20kJ/kg in transcriticalcondition while HFC143a gave the maximum value of8.96kJ/kg in subcriticalcondition). Secondly, based on area of evaporator or supercritical heater, stability ofnear-critical ORC system was studied on. The results showed that sensitivity ofevaporator (or supercritical heater) area increased with evaporating (or supercriticalheating) pressure approaching to critical pressure. Therefore, in order to keep systemstable, near-critical ORC was not suggested in system.
     A radial flow turbine was optimally thermal designed for generation system withlow grade energy. Based on specified geometry dimension of the optimal radial flowturbine, according to one dimension flow theory and fluid expansion law,performance of radial flow turbine in variable conditions and regulation methods forvariable conditions were studied on. The results showed that: variable rotational speedmethod and changeable nozzle method could be used to regulate radial flow turbinewhen back pressure varied; patial admission method and variable nozzle angle couldbe used to regulate radial flow turbine when mass flow rate varied; variable rotationalspeed method and changeable nozzle method could be used to regulate radial flowturbine when inlet pressure varied.
     Considering the design defect of the radial flow turbine in our research group,several new nozzles were designed and produced with the aim of regulatingconditions of turbine. HFC245fa and HCFC123were selected as working fluid tostudy performance of tapered nozzle turbine and Laval nozzle turbine. The resultsshowed that:(1) there was maximum isentropic efficiency of radial flow turbine,(forexample, with HFC245fa as working fluid, turbine inlet pressure of0.3MPa, turbineinlet temperature of85°C, turbine outlet pressure of0.165MPa, the optimal rotational speed was about5000rpm);(2) tapered nozzle turbine was advantaged with lowturbine inlet pressure while Laval nozzle turbine was advantaged with high turbineinlet pressure; HCFC123gave higher turbine isentropic efficiency than HFC245fa.Based on existing ORC power generation system with low grade energy, powergeneration part based on radial flow turbine was established to study systemperformance. Based on90°C low grade energy, with condensing temperature of30°C,with specific electric power (electric power with unit mass flow rate of hot water,P g e/m water,H) as objective function, optimization of evaporating temperature wasexecuted. The results showed that with tapered nozzle turbine and HFC245fa, optimalevaporating temperature was69.16°C with specific electric power of1.278kJ/kg.Based on90°C low grade energy, with evaporating temperature of75°C, with specificelectric power as objective function, optimization of condensing temperature wasexecuted. The results showed that with Laval nozzle turbine and HFC245fa, optimalcondensing temperature was29.07°C with specific electric power of0.893kJ/kg.HFC245fa gave better cycle performance than HCFC123. Based on analysis ofexperimental data, variation of turbine rotational speed and generator efficiency withload resistance was studied on. The results showed that: turbine rotational speedincreased with load resistance; there was maximum comprehensive efficiency oftransmission and generation with generator rotational speed; generator efficiencydecreased with the increase of load resistance.
引文
[1] Zhang N, Lior N, Jin HG. The energy situation and its sustainable developmentstrategy in China. Energy,2011,36:3639–3649.
    [2] Zhang M, Wang W. Analysis of China’s energy utilization for2007. EnergyPolicy,2011,39:1612–1616.
    [3] Zhao ZY, Zuo J, Feng TT, et al. International cooperation on renewable energydevelopment in China-A critical analysis. Renewable Energy,2011,36:1105–1110Energy Policy Research6,2009.
    [4] Zhao XG, Feng TT, Liu L, et al. International cooperation mechanism onrenewable energy development in China-A critical analysis. Renewable Energy,2011,36:3229–3237.
    [5] Zhang XL, Wang RS, Huo M, et al. A study of the role played by renewableenergies in China’s sustainable energy supply. Energy,2010,35:4392–4399.
    [6] Tchanche BF, Lambrinos G, Frangoudakis A, et al. Low-grade heat conversioninto power using organic Rankine cycles-A review of various applications.Renewable and Sustainable Energy Reviews,2011,15:3963–3979.
    [7] Franco A. Power production from a moderate temperature geothermal resourcewith regenerative Organic Rankine Cycles. Energy for Sustainable Development,2011,15:411–419.
    [8] Pan LS, Wang HX, Chen QY, et al. Theoretical and experimental study onseveral refrigerants of moderately high temperature heat pump. Applied ThermalEngineering,2011,31:1886–1893.
    [9] Zhang SJ, Wang HX, Guo T. Experimental investigation of moderately hightemperature water source heat pump with non-azeotropic refrigerant mixtures.Applied Energy,2010,87:1554–1561.
    [10]张圣君,基于R134a常温热泵系统的中高温热泵工质的研究:[硕士学位论文],天津:天津大学,2009.
    [11]郭涛,中高温热泵工质理论与实验循环性能研究:[硕士学位论文],天津:天津大学,2008.
    [12] Shi L, Zan C. Research methods and performance analysis for the moderatelyhigh temperature refrigerant. Science in China Series E: Technological Science,2008,51(8):1087–1095.
    [13] Liu NX, Shi L, Han LZ, et al. Moderately high temperature water sourceheat-pumps using a near-azeotropic refrigerant mixture. Applied Energy,2005,80:435–447.
    [14] Kim M, Baik YJ, Park SR, et al. Design of a high temperature production heatpump system using geothermal water at moderate temperature. Current AppliedPhysics,2010,10: S117–S122.
    [15] Liu BT, Chien KH, Wang CC. Effect of working fluids on organic Rankinecycle for waste heat recovery. Energy,2004,29:1207–1217.
    [16] Tchanche BF, Papadakis G, Lambrinos G, et al. Fluid selection for alow-temperature solar organic Rankine cycle. Applied Thermal Engineering,2009,29:2468–2476.
    [17] Madhawa Hettiarachchi HD, Golubovic M, Worek WM, et al. Optimum designcriteria for an Organic Rankine cycle using low-temperature geothermal heatsources. Energy,2007,32:1698–1706.
    [18] Wang EH, Zhang HG, Fan BY, et al. Study of working fluid selection of organicRankine cycle (ORC) for engine waste heat recovery. Energy,2011,36:3406–3418.
    [19] Sauret E, Rowlands AS. Candidate radial-inflow turbines and high-densityworking fluids for geothermal power systems. Energy,2011,36(7):4460–4467.
    [20] Rayegan R, Tao YX. A procedure to select working fluids for Solar OrganicRankine Cycles (ORCs). Renewable Energy,2011,36:659–670.
    [21] Chen HJ, Goswami DY, Stefanakos EK. A review of thermodynamic cycles andworking fluids for the conversion of low-grade heat. Renewable and SustainableEnergy Reviews,2010,14:3059–3067.
    [22] Hung TC, Wang SK, Kuo CH, et al. A study of organic working fluids onsystem efficiency of an ORC using low-grade energy sources. Energy,2010,35:1403–1411.
    [23] Mikielewicz D, Mikielwicz J. A thermodynamic criterion for selection ofworking fluid for subcritical and supercritical domestic micro CHP. AppliedThermal Engineering,2010,30:2357–2362.
    [24] Dai YP, Wang JF, Gao L. Parametric optimization and comparative study oforganic Rankine cycle (ORC) for low grade waste heat recovery. EnergyConversion and Management,2009,50:576–582.
    [25] Roy JP, Mishra MK, Misra A. Performance analysis of an Organic RankineCycle with superheating under different heat source temperature conditions.Applied Energy,2011,88:2995–3004.
    [26] Lakew AA, Bolland O. Working fluids for low-temperature heat source. AppliedThermal Engineering,2010,30:1262–1268.
    [27] Lai NA, Wendland M, Fischer J. Working fluids for high-temperature organicRankine cycles. Energy,2011,36:199–211.
    [28] Papadopoulos AI, Stijepovic M, Linke P. On the systematic design and selectionof optimal working fluids for Organic Rankine Cycles. Applied ThermalEngineering,2010,30:760–769.
    [29] Maizza V, Maizza A. Unconventional working fluids in organic rankine cyclesfor waste energy recovery systems. Applied Thermal Engineering,2001,21(3):381–390.
    [30] Stine WB, Geyer M, Power from the sun,2001,.
    [31] Mohanraj M, Jayaraj S, Muraleedharan C, Environment friendly alternatives tohalogenated refrigerants–a review, International Journal of Greenhouse GasControl,2009,3(1):108–119.
    [32] Yamamoto T, Furuhata T, Arai N, et al. Design and testing of the organicRankine cycle. Energy,2001,26(3):239–251.
    [33] Guo T, Wang HX, Zhang SJ, Comparative analysis of CO2-based transcriticalRankine cycle and HFC245fa-based subcritical organic Rankine cycle (ORC)using low-temperature geothermal source. Science in China Series E:Technological Sciences,2010,53(6):1869–1900.
    [34] Guo T, Wang HX, Zhang SJ, Comparative analysis of natural and conventionalworking fluids for use in transcritical Rankine cycle using low-temperaturegeothermal source. International Journal of Energy Research,2011,35(6):530–544.
    [35] Guo T, Wang HX, Zhang SJ, Fluids and parameters optimization for a novelcogeneration system driven by low-temperature geothermal sources. Energy,2011,36(5):2639–2649.
    [36] Guo T, Wang HX, Zhang SJ. Selection of working fluids for a novellow-temperature geothermal-powered ORC based cogeneration system. EnergyConversion and Management,2011,52(6):2348–2391.
    [37] Guo T, Wang HX, Zhang SJ. Working fluids of a low-temperaturegeothermally-powered Rankine cycle for combined power and heat generationsystem. SCIENCE CHINA Technological Sciences,2010,53(11):3072–3078.
    [38] Zhang SJ, Wang HX, Guo T. Performance comparison and parametricoptimization of subcritical Organic Rankine Cycle (ORC) and transcritical powercycle system for low-temperature geothermal power generation. Applied Energy,2011,88(8):2740–2754.
    [39] Pan LS, Wang HX, Shi WX. Performance analysis in near-critical conditions oforganic Rankine cycle. Energy,2012,37(1):281–286.
    [40] Wang XD, Zhao L, Analysis of zeotropic mixtures used in low-temperaturesolar Rankine cycles for power generation. Solar Energy,2009,83(5):605–613.
    [41] Wang XD, Zhao L, Wang JL, Experimental investigation on thelow-temperature solar Rankine cycle system using R245fa. Energy Conversionand Management,2011,52(2):946–952.
    [42] Wang XD, Zhao L, Wang JL, et al, Performance evaluation of alow-temperature solar Rankine cycle system utilizing R245fa. Solar Energy,2010,84(3):353–364.
    [43] Wang JL, Zhao L, Wang XD, A comparative study of pure and zeotropicmixtures in low-temperature solar Rankine cycle. Applied Energy,2010,87(11):3366-3373.
    [44] Wang JL, Zhao L, Wang XD. An experiment study on the recuperative lowtemperature solar Rankine cycle using R245fa. Applied Energy,2012,94:34–40.
    [45] Desideri U, Bidini G. Study of possible optimization criteria for geothermalpower plants. Energy Conversion and Management,1997,38(16–17):1681–1691.
    [46] Bombarda P, Invernizzi CM, Pietra C. Heat recovery from Diesel engines: Athermodynamic comparison between Kalina and ORC cycles. Applied ThermalEngineering,2010,30(2-3):212–219.
    [47] Chen Y, Lundqvist P, Johansson A, et al. A comparative study of the carbondioxide transcritical power cycle compared with an organic rankine cycle withR123as working fluid in waste heat recovery. Applied Thermal Engineering,2006,26(17-18):2142–2147.
    [48] Drescher U, Brüggemann D. Fluid selection for the Organic Rankine Cycle(ORC) in biomass power and heat plants. Applied Thermal Engineering,2007,27(1):223–228.
    [49] Delgado-Torres AM, García-Rodríguez L. Double cascade organic Rankinecycle for solar-driven reverse osmosis desalination. Desalination,2007,216(1-3):306–313.
    [50] Miller EW, Hendricks TJ, Peterson RB. Modeling energy recovery usingthermoelectric conversion integrated with an organic Rankine bottoming cycle.Journal of Electronic materials,2009,38(7):1206–1213.
    [51] Srinivasan KK, Mago PJ, Zdaniuk GJ, et al. Improving the efficiency of theadvanced injection low pilot ignited natural gas engine using organic rankinecycles. Journal of Energy Resources Technology,2008,130(2):0222011–0222017.
    [52] Srinivasan KK, Mago PJ, Krishnan SR. Analysis of exhaust waste heat recoveryfrom a dual fuel low temperature combustion engine using an Organic RankineCycle. Energy,2010,35(6):2387–2399.
    [53] Schoenmaker J, Rey JFQ, Pirota KR. Buoyancy organic Rankine cycle.Renewable Energy,2011,36(3):999–1002.
    [54] Li J, Pei G, Ji J. Optimization of low temperature solar thermal electricgeneration with Organic Rankine Cycle in different areas. Applied Energy,2010,87(11):3355–3365.
    [55] Chen HJ, Goswami DY, Rahman MM, et al. A supercritical Rankine Cycleusing zeotropic mixture working fluids for the conversion of low-grade heat intopower. Energy,2011,36(1):549–555.
    [56] Borsukiewicz-Gozdur A. Dual-fluid-hybrid power plant co-powered bylow-temperature geothermal water. Geothermics,2010,39(2):170–176.
    [57] Al-Sulaiman FA, Dincer I, Hamdullahpur F. Energy analysis of a trigenerationplant based on solid oxide fuel cell and organic Rankine cycle. InternationalJournal of Hydrogen Energy,2010,35(10):5104–5113.
    [58] Schuster A, Karellas S, Aumann R. Efficiency optimization potential insupercritical Organic Rankine Cycles. Energy,2010,35(2):1033–1039.
    [59] Balje OE. Turbomachines: aguide to design, selection and theory. John Wiley&Sons,1981.
    [60] Quoilin S, Lemort V, Lebrun J. Experimental study and modeling of an OrganicRankine Cycle using scroll expander, Applied Energy,2010,87(4):1260–1268.
    [61] Quoilin S. Experimental study and modeling of a low temperature rankine cyclefor small scale cogeneration.[Thesis of Master], Liege, University of Liege,2007.
    [62] Lemort V, Quoilin S, Cuevas C, Lebrun J. Testing and modeling a scrollexpander integrated into an Organic Rankine Cycle. Applied ThermalEngineering,2009,29(14-15):3094–3102.
    [63]郭涛,中低温地热热电耦合利用系统优化研究:[博士学位论文],天津:天津大学,2011.
    [64]顾伟,低品位热能有机朗肯动力循环机理研究和实验验证:[博士学位论文],上海:上海交通大学,2009.
    [65] Palfreyman D, Martinez-Botas RF. The Pulsating flow field in a mixed flowturbocharger turbine: an experimental and computational study. Transactions ofthe ASME,2005,127:144–155.
    [66] Marelli S, Capobianco M. Steady and pulsating flow efficiency of a waste-gatedturbocharger radial flow turbine for automotive application. Energy,2011,36:459–465.
    [67] Dambach R, Hodson HP, Huntsman I. An experimental study of tip clearanceflow in a radial inflow turbine. Thansactions of the ASME,1998, Paper number:98–GT–467.
    [68] Cho CH, Cho SY, Ahn KY. A study of partial admission characteristics on asmall-scale radial-inflow turbine. Journal of Power and Energy,2010,224(5):737–748.
    [69] Hamel M, Hamidou MK, Cherif HT, et al. Design and flow analysis of radialand mixed flow turbine volutes. ASME Turbo Expo,2008: Power for Land, Sea,and Air, Paper number: GT2008–50503,2329–2338.
    [70] Harinck J, Turunen-Saaresti T, Colonna P, et al. Computational study of ahigh-expansion ratio radial Organic Rankine Cycle turbine stator. Journal ofEngineering for Gas Turbines and Power,2010,132(5):0545011–0545016.
    [71] Barr L, Spence S, Thornhill D, et al. Computational study of a high-expansionratio radial Organic Rankine Cycle turbine stator. ASME, Paper number:GT2009–59366.
    [72] Schobeiri MT, ztürk B, Ashpis DE. On the physics of flow separation along alow pressure turbine blade under unsteady flow conditions. Journal of FluidsEngineering,2005,127:503–513.
    [73]73.Agahi R, Spadacini C. Comparison between variable and fixed geometry ingeothermal power plants. Proceedings World Geothermal Congress2010, Bali,Indonesia,25–29April2010.
    [74] Takao M, Fujioka Y, Setoguchi T. Effect of pitch-controlled guide vanes on theperformance of a radial turbine for wave energy conversion. Ocean Engineering,2005,32:2079–2087.
    [75] Welch P, Boyle P. New turbines to enable efficient geothermal power plants.GRC Transactions,2009,33:765–772.
    [76] Fabris G. Two-phase flow turbine for cogeneration, geothermal, solar and otherapplications. Feasibility Analysis and Final EISG Report,2005.
    [77] Pei G, Li YZ, Li J, et al. An experimental study of a micro high-speed turbinethat applied in Organic Rankine Cycle. IEEE, Paper number:978-1-4244-4813-5.
    [78]78.Pei G, Li J, Li YZ, et al. Construction and dynamic test of a small-scaleorganic Rankine cycle. Energy,2011,36(5):3215–3223.
    [79] Li J, Pei G, Li YZ, et al. Evaluation of external heat loss from a small-scaleexpander used in organic Rankine cycle. Applied Thermal Engineering,2011,31(14-15):2694–2701.
    [80] Casarsa L, Mucignat C, Reini M. Comparison of Rankine Cycles for micro-CHPgeneration based on inward flow radial turbine or scroll expander. ASME, Papernumber: IMECE2009–10444.
    [81] Colonna P, Ghidoni A, Harinck J, et al.3D simulation of a radial ORC turbinestator nozzle using accurate thermodynamic models.5th. European Congress onComputational Methods in Applied Sciences and Engineering,2008, Venice,Italy.
    [82] Colonna P, Rebay S, Harinck J, et al. Real-gas effects in ORC turbine flowsimulations: influence of thermodynamic models on flow fields and performanceparameters. European Conference on Computational Fluid Dynamics,2006, Delft,The Netherlands.
    [83] Luján JM, Serrano. JR, Dolz V, et al. Model of the expansion process forR245fa in an Organic Rankine Cycle (ORC). Applied Thermal Engineering,2012,40:248–257.
    [84] Lemmon EW, Span R. Short Fundamental Equations of State for20IndustrialFluids. Journal of Chemical&Engineering Data,2006,51(3):785–850.
    [85] Tillner-Roth R, Yokozeki A. An international standard equation of state fordifluoromethane (R-32) for temperatures from the triple point at136.34K to435K and pressures up to70MPa. Journal of Physical and Chemical Reference Data,1997,26(6):1273–1328.
    [86] Lemmon EW, Jacobsen RT. A New Functional Form and New FittingTechniques for Equations of State with Application to Pentafluoroethane(HFC-125). Journal of Physical and Chemical Reference Data,2005,34(1):69–108.
    [87] Angus S, Armstrong B, De Reuck KM. International Thermodynamic Tables ofthe Fluid State-7Propylene. International Union of Pure and Applied Chemistry,Oxford: Pergamon Press,1980.
    [88] Lemmon EW, Jacobsen RT. An International Standard Formulation for theThermodynamic Properties of1,1,1-Trifluoroethane (HFC-143a) forTemperatures from161to450K and Pressures to50MPa. Journal of Physicaland Chemical Reference Data,2000,29(4):521–552.
    [89] Lemmon EW, McLinden MO, Wagner W. Thermodynamic Properties ofPropane, III. A Reference Equation of State for Temperatures from the MeltingLine to650K and Pressures up to1000MPa. Journal of Chemical&EngineeringData,2009,54:3141–3180.
    [90] Kamei A, Beyerlein SW, Jacobsen RT. Application of nonlinear regression inthe development of a wide range formulation for HCFC-22. International Journalof Thermophysics,1995,16:1155–1164.
    [91] Polt A, Platzer B, Maurer G. Parameter der thermischen Zustandsgleichung vonBender fuer14mehratomige reine Stoffe. Chemische Technik,1992,44(6):216–224.
    [92] Akasaka R, Tanaka K, Higashi Y. Thermodynamic property modeling for2,3,3,3-tetrafluoropropene (HFO-1234yf). International Journal of Refrigeration,2010,33(1):52–60.
    [93] Tillner-Roth R, Baehr HD. An international standard formulation of thethermodynamic properties of1,1,1,2-tetrafluoroethane (HFC-134a) coveringtemperatures from170K to455K at pressures up to70MPa. Journal of Physicaland Chemical Reference Data,1994,23:657–729.
    [94] Wu JT, Zhou Y, Lemmon EW. An equation of state for the thermodynamicproperties of dimethylether. Journal of Physical and Chemical Reference Data,2011,40, Paper number:23104.
    [95] Outcalt SL, McLinden MO. A modified Benedict-Webb-Rubin equation of statefor the thermodynamic properties of R152a (1,1-difluoroethane). Journal ofPhysical and Chemical Reference Data,1996,25(2):605–636.
    [96] McLinden MO, Thol M, Lemmon EW. Thermodynamic Properties oftrans-1,3,3,3-Tetrafluoropropene [R1234ze(E)]: Measurements of Density andVapor Pressure and a Comprehensive Equation of State. In: Proceedings ofInternational Refrigeration and Air Conditioning Conference, Purdue:2010.
    [97] Platzer B, Polt A, Maurer G. Thermophysical properties of refrigerants. Berlin:Springer-Verlag,1990.
    [98] Vries B, Tillner-Roth R, Baehr HD. Thermodynamic Properties of HCFC124.In: Proceedings of19th International Congress of Refrigeration, Hague,Netherlands:1995,582–589.
    [99] Buecker D, Wagner W. Reference Equations of State for the ThermodynamicProperties of Fluid Phase n-Butane and Isobutane. Journal of Physical andChemical Reference Data,2006,35(2):929–1019.
    [100]Outcalt SL, McLinden MO. An equation of state for the thermodynamicproperties of R236fa. NIST report to sponsor (U.S. Navy, David Taylor ModelBasin) No. N61533–94–F–0152,1995.
    [101]Lemmon EW, Ihmels EC. Thermodynamic Properties of the Butenes: Part II.Short Fundamental Equations of State. Fluid Phase Equilibria,2005,228-229C:173–187.
    [102]Huber ML, Ely JF. A predictive extended corresponding states model for pureand mixed refrigerants including an equation of state for R134a. InternationalJournal of Refrigeration,1994,17:18–31.
    [103]Younglove BA, McLinden MO. An international standard equation-of-stateformulation of the thermodynamic properties of refrigerant123(2,2-dichloro-1,1,1-trifluoroethane). Journal of Physical and Chemical ReferenceData,1994,23(5):731–779.
    [104]Fr ba AP, Krzeminski K, Leipertz A, Thermophysical Properties of1,1,1,3,3-Pentafluorobutane (R365mfc). International Journal of Thermophysics,2004,25(4):987–1004.
    [105]Lemmon EW, Huber ML, McLinden MO. NIST Standard Reference Database23, Reference Fluid Thermodynamic and Transport Properties (REFPROP),version9.0. National Institute of Standards and Technology,2010.
    [106]Bell KJ, Delaware method for shell side design. in Heat Exchangers-ThermalHydraulic Fundamentals and Design, Hemisphere/McGraw-Hill, Washington,D.C.,1981,581–618.
    [107]Bell KJ, Delaware method for shell side design. in Heat Transfer EquipmentDesign, Hemisphere, Washington D.C.,1988,145–166.
    [108]沙拉,塞库利克,换热器设计技术(程林译),北京:机械工业出版社,2010,510–610.
    [109]库潘,换热器设计手册(钱颂文等译),北京:中国石化出版社,2003,188–245.
    [110]史美中,王中铮,热交换器原理与设计,南京:东南大学出版社,2003,40–113.
    [111]Lima RJ, QuilbéJM, Thome JR. Flow boiling in horizontal smooth tubes: Newheat transfer results for R-134a at three saturation temperatures. Applied ThermalEngineering,2009,29:1289–1298.
    [112]Hajal JE, Thome JR, Cavallini A. Condensation in horizontal tubes, part1:two-phase flow pattern map. Heat and Mass Transfer,2003,46:3349–3363.
    [113]Thome JR, Hajal JE. Cavallini A. Condensation in horizontal tubes, part2: newheat transfer model based on flow regimes. Heat and Mass Transfer,2003,46:3365–3387.
    [114]Kattan N, Thome JR, Favrat D. Flow boiling in horizontal tubes: part1—development of a diabatic Two-phase flow pattern map. Journal of HeatTransfer,1998,120:140–147.
    [115]Kattan N, Thome JR, Favrat D. Flow boiling in horizontal tubes: part2—newheat transfer data for five refrigerants. Journal of Heat Transfer,1998,120:148–155.
    [116]Kattan N, Thome JR, Favrat D. Flow boiling in horizontal tubes: part1—development of a new heat transfer model based on flow pattern. Journal ofHeat Transfer,1998,120:156–165.
    [117]QuibéJM, Cheng LX, Lima RJ et al. Flow boiling in horizontal flattened tubes:part II—flow boiling heat transfer results and model. International Journal ofHeat and Mass Transfer,2009,52:3645–3653.
    [118]Collier JG, Thome JR. Convective boiling and condensation. Oxford, OxfordUniversity Press,1994.
    [119]Kang KH, Chang SH. Experimental study on the heat transfer characteristicsduring the pressure transients under supercritical pressures. International Journalof Heat and Mass Transfer,2009,52:4946–4955.
    [120]Rodgers C. Mainline performance prediction for radial inflow turbines. VonKarman Inst. for Fluid Dynamics, Small High Pressure Ratio Turbines, Belgium,1987.
    [121]Wasserbauer CA, Glassman AJ. FORTRAN program for predicting off-designperformance of radial-inflow turbines. NASA technical note, NASA TN D–8063.
    [122]Bridle EA, Boulter RA. A simple theory for the prediction of losses in the rotorsof inward radial flow turbines. Proceedings of the Institution of MechanicalEngineers, Conference Proceedings1964–1970,182/1967:393–405.
    [123]Wallace FJ. Theoretical assessment of the performance characteristics of inwardradial flow turbines. Proceedings of the Institution of Mechanical Engineers1947–1982,172/1958:931–952.
    [124]计光华,透平膨胀机,北京:机械工业出版社,1982.
    [125]天津大学热能工程系,江西温汤地热试验电站低沸点工质辐流式汽轮机研试的初步报告,热工问题讨论集,1975,2:49–60.