Conference article

Modelling of Heat Pumps with Calibrated Parameters Based on Manufacturer Data

Massimo Cimmino
Department of Mechanical Engineering, Polytechnique Montreal, Montreal QC, Canada,

Michael Wetter
Lawrence Berkeley National Laboratory, Energy Technologies Area, Building Technology and Urban Systems Division, Simulation Research Group, Berkeley CA, USA

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Published in: Proceedings of the 12th International Modelica Conference, Prague, Czech Republic, May 15-17, 2017

Linköping Electronic Conference Proceedings 132:22, p. 219-226

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Published: 2017-07-04

ISBN: 978-91-7685-575-1

ISSN: 1650-3686 (print), 1650-3740 (online)


A Modelica model for the simulation of heat pumps is presented. The model uses a simplified vapor compression cycle with only five refrigerant states. Parameters to the model are evaluated using an optimization procedure to minimize the differences between the model predicted heating capacities and power input and those provided in the manufacturer technical data. The optimization process is done from a Python implementation of the heat pump model.

The model is first tested by verifying that calibration from performance data generated by the heat pump model results in the same parameters as the ones used in the generation of the performance data. In the presented example, calibrated parameters were found close to the original parameters used to generate the data, except for the evaporator heat transfer coefficient for which the model was found not to be very sensitive. In a second example, the model is calibrated against manufacturer data. The heating capacities and power input calculated from the calibrated model are within 2.7% and 4.7% of the manufacturer data, respectively. Finally, the computational performance of the model is tested in a system simulation of a hydronic heating system. The simulation using the presented heat pump model was executed in 152 seconds, compared to 140 seconds for the same system using a simple boiler model.


Heat Pump, Vapor Compression Cycle, Model Calibration


Carbonell, S. D., Cadafalch, R. J., Pärlisch, P., and Consul, S. R. (2012). Numerical analysis of heat pumps models: comparative study between equation-fit and refrigerant cycle based models. in Proc. Int. Conf. on Solar Heating, Cooling and Buildings, EuroSun 2012 (Rijeka, HR).

De Monte, F. (2002). Calculation of thermodynamic properties of R407C and R410A by the Martin–Hou equation of state — part I: theoretical development. International Journal of Refrigeration, 25(3): 306-313.

Domanski, P. A., and McLinden, M. O. (1992). A simplified cycle simulation model for the performance rating of refrigerants and refrigerant mixtures. International Journal of Refrigeration, 15(2): 81-88.

E. I. du Pont de Nemours and Company (2004). Thermodynamic properties of du Pont Suva 410A refrigerant. URL

Jin, H. (2002). Parameter estimation based models of water source heat pumps. Ph.D. Thesis. Oklahoma State University, Stillwater, OK, USA.

Jones, E., Oliphant, T., and Peterson, P. (2001). Open source scientific tools for Python. URL http://www. scipy. org, 73, 86.

Lee, T. S., and Lu, W. C. (2010). An evaluation of empirically-based models for predicting energy performance of vapor-compression water chillers. Applied Energy, 87(11): 3486-3493.

Lemort, V., and Bertagnolio, S. (2010). A Generalized Simulation Model of Chillers and Heat Pumps to be Calibrated on Published Manufacturer’s Data. In Proceedings of the International Symposium on Refrigeration Technology 2010, Zhuhai, China.

Lund, H., Werner, S., Wiltshire, R., Svendsen, S., Thorsen, J. E., Hvelplund, F., and Mathiesen, B. V. (2014). 4th Generation District Heating (4GDH): Integrating smart thermal grids into future sustainable energy systems. Energy, 68: 1-11.

Martin, J. J., and Hou, Y. C. (1955). Development of an equation of state for gases. AIChE Journal, 1(2): 142-151.

Scarpa, M., Emmi, G., and De Carli, M. (2012). Validation of a numerical model aimed at the estimation of performance of vapor compression based heat pumps. Energy and Buildings, 47: 411-420.

Swider, D. J. (2003). A comparison of empirically based steady-state models for vapor-compression liquid chillers. Applied Thermal Engineering, 23(5): 539-556.

Wetter, M., Zuo, W., Nouidui, T. S., and Pang, X. (2014). Modelica Buildings library. Journal of Building Performance Simulation, 7(4): 253-270.

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