LOW ORDER DYNAMIC MODEL of A VAPOR COMPRESSION CYCLE FOR PROCESS CONTROL DESIGN

Control of food processes involving vapor compression cycles as actuators is often a difficult task: indeed this particular device is itself a complex process including coupled unit operations as evaporation, compression, condensation and expansion. Nevertheless, an accurate control of heat transfer rate is often essential for global quality of product and stability of flow in exchangers. Moreover a number of vapor compression systems are already equipped with variable speed-compressors and fans. However, due to lack of knowledge about the dynamic behavior of these systems, the industry has not taken full advantage of these variable devices to get substantial control performance improvement. This paper presents a lumped-parameter model for describing the dynamics of vapor compression cycles. Based on moving-boundary approach for the description of two-phase/single phase interface inside the heat exchangers, this low-order model composed of only ordinary differential equations can be highly useful for design of control strategies. This model has been validated on an experimental device and a good agreement between measurements and computed data has been found. Use of this model in food process control design is discussed.

[1]  P. Sørensen,et al.  Simulation Model of a Transient , 2005 .

[2]  P. Haberschill,et al.  Masse du fluide frigorigène dans un évaporateur en fonctionnement permanent ou transitoire , 1998 .

[3]  H. Harry Asada,et al.  Multivariable control of vapor compression systems , 1998 .

[4]  D. Leducq,et al.  Computer subroutines for rapid evaluation of natural refrigerants thermodynamic properties. , 1998 .

[5]  Ioan-Cristian Trelea,et al.  Nonlinear predictive optimal control of a batch refrigeration process , 1998 .

[6]  H. Harry Asada,et al.  Modeling of Vapor Compression Cycles for Multivariable Feedback Control of HVAC Systems , 1997 .

[7]  Sheng Liu,et al.  Modeling of vapor compression cycles for advanced controls in HVAC systems , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[8]  G. Trystram,et al.  Design of a new strategy for the control of the refrigeration process: fruit and vegetables conditioned in a pallet , 1995 .

[9]  Eric W. Grald,et al.  A moving-boundary formulation for modeling time-dependent two-phase flows , 1992 .

[10]  J. Taborek,et al.  Flow Boiling Heat Transfer in Vertical Tubes Correlated by an Asymptotic Model , 1992 .

[11]  E. W. Grald,et al.  Prediction of cyclic heat pump performance with a fully distributed model and a comparison with experimental data , 1987 .

[12]  A. C Cleland,et al.  Computer subroutines for rapid evaluation of refrigerant thermodynamic properties , 1986 .

[13]  R. Isermann,et al.  Modeling and Control of a Refrigerant Evaporator , 1985, 1985 American Control Conference.

[14]  M. Cooper SATURATION NUCLEATE POOL BOILING - A SIMPLE CORRELATION , 1984 .

[15]  G. M. Lazarek,et al.  Evaporative heat transfer, pressure drop and critical heat flux in a small vertical tube with R-113 , 1982 .

[16]  D. Didion,et al.  A simulation model of the transient performance of a heat pump , 1982 .

[17]  M. Shah A general correlation for heat transfer during film condensation inside pipes , 1979 .

[18]  B. L. Bhatt,et al.  A system mean void fraction model for predicting various transient phenomena associated with two-phase evaporating and condensing flows , 1978 .

[19]  H. Gurney Heat Transmission , 1909, Nature.