System level modeling of a transcritical vapor compression system for bistability analysis
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This study seeks to understand the multiplicity of stable solutions in a transcritical hot water heat pump as it has been observed in prototype units that two steady states exist (very efficient and inefficient). Reduced order dynamic modeling highlights the state-dependent heat transfer coefficient in the evaporator dynamics as a contributing cause to this bistable phenomena. Specifically, the bilinear nature of the controlled gas cooler and its coupling to the dynamic nonlinearity in the evaporator induces a system-wide bifurcation in the equilibrium conditions with regard to system efficiency. Model results are presented to illustrate this, along with steady-state and dynamic data to confirm the accuracy of the model. Finally, the bifurcation behavior is presented which is comparable to the behavior found in the experiment. The contribution of this paper is a presentation of a dynamic phenomena in a real world application that has previously been unpublished. In addition to this, this paper motivates a reason for this phenomena from first principles. This is a preliminary step to gaining control over unwanted dynamics in this application by either nonlinear control or component redesign.
KeywordsCO2 refrigerant Heat pump efficiency Multiple equilibria Heat-exchanger modeling Dynamical analysis
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- 3.Dhar, M., Soedel, W.: Transient analysis of a vapor compression refrigeration system: Part: I and II. In: Int. Inst. Refrig., Paris, France, by Organ and Sci. Comm. of the 15th Int. Congr. of Refrig., Padova, Italy, pp. 1049–1067 (1980) Google Scholar
- 4.Yasuda, H., Touber, S., Machielsen, C.H.M.: Simulation model of a vapor compression refrigeration system. ASHRAE Trans. 89(2), 408–425 (1983) Google Scholar
- 6.Rasmussen, B., et al.: Control-oriented modeling and analysis of automotive transcritical AC system dynamics. Proc. Am. Control Conf. 4, 3111–3116 (2002) Google Scholar
- 10.Robinson, D.M., Groll, E.A.: Theoretical performance comparison of CO2 transcritical cycle technology vs. HCFC-22. HVAC&R Res. 6(4) (2000) Google Scholar
- 11.Bauer, O.: Modelling of two-phase flows with modelica. Masters Thesis, Department of Automatic Control, Lund Institute of Technology, ISSN 0280-5316 (1999) Google Scholar
- 13.Broersen, P., van der Jagt, M.: Hunting of evaporators controlled by a thermostatic expansion valve. ASME J. Dyn. Syst. Meas. Control 102 (1980) Google Scholar
- 14.Nyers, J., Stoyan, G.: A dynamical model adequate for controlling the evaporator of a heat pump. Int. J. Refrig. 17(2) (1994) Google Scholar
- 18.Hwang, Y.: Comprehensive investigation of carbon dioxide refrigeration cycle. PhD Thesis, University of Maryland (1997) Google Scholar
- 19.Thomas, P.: Simulation of Industrial Processes. Butterworth-Heinemann, Oxford (1999) Google Scholar