Abstract
This paper presents an investigation on the utilization of waste heat from a gas turbine-modular helium reactor (GT-MHR) using different arrangements of organic Rankine cycles (ORCs) for power production. The considered organic Rankine cycles were: simple organic Rankine cycle (SORC), ORC with internal heat exchanger (HORC) and regenerative organic Rankine cycle (RORC). The performances of the combined cycles were studied from the point of view of first and second-laws of thermodynamics. Individual models were developed for each component and the effects of some important parameters such as compressor pressure ratio, turbine inlet temperature, and evaporator and environment temperatures on the efficiencies and on the exergy destruction rate were studied. Finally the combined cycles were optimized thermodynamically using the EES (Engineering Equation Solver) software. Based on the identical operating conditions for the GT-MHR cycle, a comparison between the three combined cycles and a simple GT-MHR cycle is also were made. This comparison was also carried out from the point of view of economics. The GT-MHR/SORC combined cycle proved to be the best among all the cycles from the point of view of both thermodynamics and economics. The efficiency of this cycle was about 10% higher than that of GT-MHR alone.
Abbreviations
- cond:
-
Condenser
- c:
-
Compressor
- C:
-
Fluid capacity (kJ/kg K)
- CoE:
-
Cost of electricity ($/MWh)
- \( {\dot{\text E}} \) :
-
Exergy rate (kW)
- GT:
-
Gas turbine
- h:
-
Specific enthalpy (kJ/kg)
- Hp:
-
High pressure
- HORC:
-
Organic Rankine cycle with internal heat exchanger
- i:
-
Discant rate, –
- IC:
-
Intercooler
- IHE:
-
Internal heat exchanger
- Lp:
-
Low pressure
- MED:
-
Multiple effect distillation
- MHR:
-
Modular helium cooled reactor
- \( {\dot{\text m}} \) :
-
Mass flow rate (kg/s)
- N:
-
Life time (year)
- OFOH:
-
Open feed-organic fluid
- ORC:
-
Organic Rankine cycle
- P:
-
Pressure (kPa)
- PEC:
-
Purchased-equipment cost
- PBMR:
-
Pellet bed modular reactor
- q:
-
Specific heat rate (kJ/kg)
- \( {\dot{\text Q}} \) :
-
Heat transfer rate (kW)
- R:
-
Ideal gas constant (kJ/kg K)
- RORC:
-
Regenerative organic Rankine cycle
- s:
-
Specific entropy (kJ/kg k)
- SORC:
-
Simple organic Rankine cycle
- T:
-
Temperature (°C)
- TCI:
-
Total capital investment ($)
- Te:
-
Evaporative temperature (°C)
- Teq :
-
Operating hours (h)
- \( {\bar{\text T}} \) :
-
Thermodynamic mean temperature (K)
- uvar :
-
Variable O&M cost ($/MWh)
- Ufixed :
-
Fixed O&M cost ($)
- v:
-
Specific volume (m3/kg)
- \( {\dot{\text w}} \) :
-
Power generation (kW)
- x:
-
Quality (%)
- Y:
-
Exergy destruction ratio
- YF :
-
Fuel cost ($/MWh)
- ηI :
-
First-law efficiency (%)
- ηII :
-
Second-law efficiency (%)
- ηP :
-
Polytropic efficiency (%)
- ɛ:
-
Effectiveness (%)
- ΔPcore :
-
P7 − P1 (kPa)
- ΔPE :
-
P3 − P4 (kPa)
- ΔPPre :
-
P4 − P5 (kPa)
- ΔPrec,HP :
-
P6 − P7 (kPa)
- ΔPrec,LP :
-
P2 − P3 (kPa)
- ΔTE :
-
Minimum temperature difference in evaporator (Tpp = Te + ΔTE) (K)
- ΔTsup :
-
Superheat degree in ORC turbine inlet (T10 = Te + ΔTsup) (K)
- 0:
-
Dead state
- 1, 2, 3, …..:
-
Cycle locations
- c:
-
Condenser
- CW:
-
Cooling water
- D:
-
Destruction
- E:
-
Evaporator
- H:
-
High
- I:
-
First law
- II:
-
Second law
- L:
-
Low
- p:
-
Pump
- pc:
-
Pre-cooler
- pp:
-
Pinch point
- rec:
-
Recuperator
- s:
-
Isentropic
- sup:
-
Superheating
- T:
-
Turbine
- th:
-
Thermal
References
El-Genk MS, Tournier J-M (2008) On the use of noble gases and binary mixtures as reactor coolants and CBC working fluids. Energy Convers Manage 49:1882–1891
El-Genk MS, Tournier J-M (2008) Noble gas binary mixtures for gas-cooled reactor power plants. Nucl Eng Des/Fusion 238:1353–1372
Tournier J-M, El-Genk MS (2008) Properties of noble gases and binary mixtures for closed Brayton Cycle applications. Energy Convers Manage 49:469–492
Dardoura S, Nisan S, Charbit F (2007) Utilization of waste heat from GT-MHR and PBMR reactors for nuclear desalination. Desalination 205:254–268
Yari M, Mahmoudi SMS (2010) Utilization of waste heat from GT-MHR for power generation in organic Rankine cycles. Appl Therm Eng 30:366–375
Yari M (2009) Waste heat recovery from closed Brayton cycle using organic Rankine cycle: thermodynamic analysis. In: Proceedings of ASME turbo expo 2009 power for land, sea and air, World Marriott Resort, Orlando, FL USA, 8–12 June 2009
Bruno JC, Lo′pez-Villad J, Letelier E, Romera S, Coronas A (2008) Modeling and optimization of solar organic rankine cycle engines for reverse osmosis desalination. Appl Therm Eng 28:2212–2226
Drescher U, Bruggemann D (2007) Fluid selection for the organic Rankine cycle (ORC) in biomass power and heat plants. Appl Therm Eng 27:223–228
Kanoglu M, Bolatturk A (2008) Performance and parametric investigation of a binary geothermal power plant by exergy. Renew Energy 33:2366–2374
Yari M, Zarin A, Shaker H (2008) Exergetic performance comparison of various type geothermal power plants. In: Proceedings of global conference on global warming, GCGW08, Istanbul, Turkey, 6–10 July 2008
Invernizzi C, Iora P, Silva P (2007) Bottoming micro-Rankine cycles for micro-gas turbines. Appl Therm Eng 27:100–110
Yari M (2008) Thermodynamic study of the micro-turbine/regenerative Rankine cycle. In: Proceedings of 21st international conference on efficiency, cost, optimization, simulation and environmental impact of energy systems, ECOS 2008, Krakow, Poland, 24–27 June 2008
Srinivasan KK, Mago PJ, Zdaniuk GJ, Chamra LM, Midkiff KC (2008) Improving the efficiency of the advanced injection low pilot ignited natural gas engine using organic Rankine cycles. J Energy Resour Technol 130:1–7
Verda V (2008) Solid oxide fuel cell system configurations for distributed generation. J Fuel Cell Sci Technol 5:1–7
Schuster A, Karellas S, Kakaras E, Spliethoff H (2009) Energetic and economic investigation of organic Rankine cycle applications. Appl Therm Eng 29:1809–1817
Vaja I, Gambarotta A (2010) Internal combustion engine (ICE) bottoming with organic Rankine cycles (ORCs). Energy 35:1084–1093
Bombarda P, Invernizzi CM, Pietra C (2010) Heat recovery from diesel engines: a thermodynamic comparison between Kalina and ORC cycles. Appl Therm Eng 30:212–219
Kosmadakis G, Manolakos D, Papadakis G (2010) Parametric theoretical study of a two-stage solar organic Rankine cycle for RO desalination. Renew Energy 35:989–996
Al-Sulaiman FA, Dincer I, Hamdullahpur F (2010) Exergy analysis of an integrated solid oxide fuel cell and organic Rankine cycle for cooling, heating and power production. J Power Sources 195:2346–2354
Wang XD, Zhao L, Wang JL, Zhang WZ, Zhao XZ, Wu W (2010) Performance evaluation of a low-temperature solar Rankine cycle system utilizing R245fa. Sol Energy 84:353–364
Yari M (2009) Performance analysis of the different organic Rankine cycles (ORCs) using dry fluids. Int J Exergy 6(3):323–342
Yari M (2010) Exergetic analysis of various types of geothermal power plants. Renew Energy 35:112–121
Mago PJ, Chamra LM, Somayaji C (2007) Performance analysis of different working fluids for use in organic Rankine cycles. Proc Imeche A J Power Energy 221:255–264
Saleh B, Koglbauer G, Wendland M, Fischer J (2007) Working fluids for low-temperature organic Rankine cycles. Energy 32:1210–1221
Dai Y, Wang J, Gao L (2009) Parametric optimization and comparative study of organic Rankine cycle (ORC) for low grade waste heat recovery. Energy Convers Manage 50:576–582
Tchanche BF, Lambrinos G, Frangoudakis A, Papadakis G (2010) Exergy analysis of micro-organic Rankine power cycles for a small scale solar driven reverse osmosis desalination system. Appl Energy 87:1295–1306
Mago PJ, Chamra LM, Srinivasan K, Somayaji C (2008) An examination of regenerative organic Rankine cycles using dry fluids. Appl Therm Eng 28:998–1007
Mohanraj M, Jayaraj S, Muraleedharan C (2009) Environment friendly alternatives to halogenated refrigerants—a review. Int J Greenhouse Gas Control 3:108–119
Klein S, Alvarda F (2007) Engineering Equation Solver (EES). F-chart software, Middleton
Dincer I, Rosen MA (2007) Exergy: energy. environment and sustainable development, Elsevier, Amsterdam
Sayyaadi H, Sabzaligol T (2009) Various approaches in optimization of a typical pressurized water reactor power plant. Appl Energy 86:1301–1310
Sayyaadi H, Sabzaligol T (2009) Exergoeconomic optimization of a 1000 MW light water reactor power generation system. Int J Energy Res 33:378–395
El-Genk MS, Tournier J-M (2009) Performance analyses of VHTR plants with direct and indirect closed Brayton cycles and different working fluids. Prog Nucl Energy 51:556–572
Baxi CB, Shenoy A, Kostin VI, Kodochigov NG, Vasyaev AV, Belov SE, Golovko VF (2008) Evaluation of alternate power conversion unit designs for the GT-MHR. Nucl Eng Des/Fusion 238:2995–3001
Chen F, Dong Y, Zhang Z, Zheng Y, Shi L, Hu S (2009) Post-test analysis of helium circulator trip without scram at 3 MW power level on the HTR-10. Nucl Eng Des/Fusion 239:1010–1018
Herranz LE, Linares JI, Moratilla BY (2009) Power cycle assessment of nuclear high temperature gas-cooled reactors. Appl Therm Eng 29:1759–1765
Kehlhofer R, Bachmann R, Nielsen H, Warner J (1999) Combined-cycle gas and steam turbine power plants, Second edition. PennEwll Publishing Company, Tulsa
Horlock JH (2003) Advanced gas turbine cycles. Elsevier Science, New York
Bejan A, Tsatsaronis G, Moran M (1996) Thermal design and optimization. Wiley, New York
Jonsson M (2003) Advanced power cycles with mixtures as the working fluid, Stockholm, Sweden: Department of Chemical Engineering and Technology, Division of Energy Processes, Royal Institute of Technology. Doctoral Thesis. ISRN KTH/KET/R–173–SE
Bartlett M (2002) Developing humidified gas turbine cycles. Doctoral Thesis, Dept. Chem. Eng. Tech., Royal Institute of Technology, Stockholm, Sweden. ISSN 1104-3466
Nisan S, Dardoura S (2007) Economic evaluation of nuclear desalination systems. Desalination 205:231–242
Darwish MA, Al Awadhi FM, Bin Amer AO (2010) Combining the nuclear power plant steam cycle with gas turbines. Energy. doi:10.1016/j.energy.2010.04.031
Ishiyama S, Muto Y, Kato Y, Nishio S, Hayashi T, Nomoto Y (2008) Study of steam, helium and supercritical CO2 turbine power generations in prototype fusion power reactor. Prog Nucl Energy 50:325–332
Chacartegui R, Sunchez D, Muoz JM, Sunchez T (2009) Alternative ORC bottoming cycles FOR combined cycle power plants. Appl Energy 86:2162–2170
Hance CN (2005) Factors affecting costs of geothermal power development. Geothermal Energy Association, Washington
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Yari, M., Mahmoudi, S.M.S. A thermodynamic study of waste heat recovery from GT-MHR using organic Rankine cycles. Heat Mass Transfer 47, 181–196 (2011). https://doi.org/10.1007/s00231-010-0698-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00231-010-0698-z