A fast algorithm for the hourly simulations of ground-source heat pumps using arbitrary response factors

Renewable Energy

Volumn 34, Issue 10, 2009, Pages 2252-2258

  Lamarche, Louis ^a  

^a ÉCOLE DE TECHNOLOGIE SUPÉRIEURE   (Canada)

Author keywords

Ground heat exchanger; Ground source heat pump; Inverse Laplace transforms

Indexed keywords

AGGREGATION SCHEMES; BOREHOLE TEMPERATURE; COMPUTATIONAL TIME; CURRENT MODELS; DESIGN AND ANALYSIS; ENERGY SIMULATION; FAST ALGORITHMS; FLUID TEMPERATURES; GEOTHERMAL HEAT PUMP SYSTEMS; GROUND HEAT EXCHANGER; GROUND SOURCE HEAT PUMP; GROUND SOURCE HEAT PUMP SYSTEMS; HEAT TRANSFER RATE; HOURLY SIMULATION; INVERSE LAPLACE TRANSFORMS; LOAD AGGREGATION; RESPONSE FACTOR; SINGLE BOREHOLES; STEP CHANGES; TIME SIMULATIONS; TIME STEP;

ALGORITHMS; HEAT TRANSFER; LAPLACE TRANSFORMS; PUMPS; SIMULATORS; SPECIFIC HEAT; SPEED CONTROL; STEP RESPONSE;

HEAT PUMP SYSTEMS;

ALGORITHM; BOREHOLE; DESIGN; GEOTHERMAL ENERGY; HEAT TRANSFER; LAPLACE TRANSFORM; NUMERICAL MODEL; PUMP;

EID: 67349142620     PISSN: 09601481     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.renene.2009.02.010     Document Type: Article

References (27)

1. Kavanaugh S.P., and Rafferty K. Ground-source heat pumps: design of geothermal systems for commercial and institutional buildings (1997), American Society of Heating Refrigerating and Air-Conditioning Engineers, Inc., Atlanta
2. Zeng H., Diao N., and Fang Z. Heat transfer analysis of boreholes in vertical ground heat exchangers. Int J Heat Mass Tran 46 23 (2003) 4467-4481
3. Bernier M., Pinel P., Labib R., and Paillot R. A multiple load aggregation for annual hourly simulations of GCHP systems. HVAC&R Res 10 4 (2004) 471-487
4. Xu X, Spitler JD. Modeling of vertical ground loop heat exchangers with variable convective resistance and thermal mass of the fluid. In: Proceedings of the 10th international conference on thermal energy storage - Ecostock, Pomona, NJ; 2006.
5. Hellstrom G. Ground Heat Storage. Thermal Analysis of Duct Storage systems. Part I Theory (1991), University of Lund, Department of Mathematical Physics, Lund, Sweden
6. F. Sheriff. Génération de facteurs de réponse pour champs de puits géothermiques verticaux, Master's thesis. Département de génie mécanique, École Polytechnique de Montréal; April 2007.
7. Ingersoll L., Zobel O., and Ingersoll A. Heat conduction with engineering geological and other applications. 2nd ed. (1954), McGraw-Hill
8. Carslaw H., and Jaeger J. Conduction of heat in solids (1947), Oxford
9. Zeng H., Diao N., and Fang Z. A finite line-source model for boreholes in geothermal heat exchangers. Heat Trans Asian Res 31 7 (2002) 558-567
10. Lamarche L., and Beauchamp B. A new contribution to the finite line-source model for geothermal boreholes. Energ Build 39 (2007) 188-198
11. Eskilson P. Thermal analysis of heat extraction boreholes, doctoral thesis. University of Lund, Department of Mathematical Physics. Lund, Sweden; 1987.
12. Yavusturk C. Modeling of vertical ground loop heat exchangers for ground source heat pump systems, Ph.D. thesis." Oklahoma State University, USA"; 1999
13. Yavusturk C., and Splitter J. A short time step response factor model for vertical ground loop heat exchangers. ASHRAE Trans 105 2 (1999) 475
14. Lamarche L., and Beauchamp B. A fast algorithm for the simulation of GCHP systems. ASHRAE Trans 113 1 (2007) DA-07-050
15. Kavanaugh S. Simulation and experimental verification of vertical ground coupled heat pump systems, Ph.D. thesis. "Oklahoma State University, USA"; 1985.
16. Bernier MA. Review of the cylindrical heat source method for the design and analysis of vertical ground-coupled heat pump systems. In: Fourth international conference on heat pumps in cold climates, Aylmer, Québec, 2000.
17. Gu Y., and O'neal D.L. An analytical solution to transient heat conduction in a composite region with a cylindrical heat source. Asme J Solar Energy Eng 117 (1995) 242-248
18. Sutton M.G., Couvillion R.J., Nutter D.W., and Davis R.K. An algorithm for approximating the performance of vertical bore heat exchangers installed in a stratified geological regime. ASHRAE Trans 108 2 (2002) 177-184
19. Young T. Development, verification, and design analysis of the borehole fluid thermal mass model for approximating short term borehole thermal response, Master's thesis. Oklahoma State University, USA, 2001.
20. Lamarche L., and Beauchamp B. A new contribution to the finite line-source model for geothermal boreholes. Int J Heat Mass Tran 50 (2007) 1408-1419
21. Abate J., and Valko P.P. Multi-precision Laplace transform inversion. Int J Numer Meth Eng 60 (2004) 979-993
22. Stehfest H. Algorithm 368: numerical inversion of Laplace transforms. Commun ACM 13 1 (1970) 47-49
23. Stehfest H. Remarks on Algorithm 368: numerical inversion of Laplace transforms. Commun ACM 13 10 (1970) 624
24. Valko P.P., and Abate J. Comparison of sequence accelerators for the Gaver method of numerical Laplace transform inversion. Comput Math Appl 48 (2004) 629-636
25. Cooper L.Y. Heating of a cylindrical cavity. Comput Math Appl 48 (2004) 629-636
26. Hellstrom G., and B Sanner E.E.D. Earth energy designer user manual version 2.0 (Oct 2000). http://www.buildingphysics.com/earth1.htm
27. Pinel P. Amélioration, validation et implantation d'un algorithme de calcul pour évaluer le transfert thermique dans les puits verticaux de systèmes de pompes à chaleur géothermiques, Master's thesis. Département de génie mécanique, École Polytechnique de Montréal; April 2007.