Development of a generalized steady-state simulation framework for positive displacement compressors and expanders

In this paper, a generalized framework is presented that can be used to simulate the steady-state performance of a wide range of positive displacement compressors and expanders (scroll, piston, screw, rotary, spool, etc.). The complete simulation algorithm is described, and an emphasis is placed on the numerical methods required to obtain robust behavior of the simulation. This formulation has been implemented into an open-source software package entitled PDSim written in the Python language. PDSim is the first open-source generalized compressor and expander simulation package. The source code can be freely obtained on the internet.

[1]  Vincent Lemort,et al.  Analysis of Liquid-Flooded Expansion Using a Scroll Expander , 2008 .

[2]  P. Suter,et al.  Experimental Analysis of an Inverter-Driven Scroll Compressor with Liquid Injection , 1992 .

[3]  Eric W. Lemmon Pseudo-Pure Fluid Equations of State for the Refrigerant Blends R-410A, R-404A, R-507A, and R-407C , 2003 .

[4]  John Boyd,et al.  A Solution for the Finite Journal Bearing and its Application to Analysis and Design: III , 1958 .

[5]  James E. Braun,et al.  A computationally efficient hybrid leakage model for positive displacement compressors and expanders , 2013 .

[6]  Kenji Tojo,et al.  Performance Analysis of Hermetic Scroll Compressors , 1992 .

[7]  James E. Braun,et al.  Mathematical modeling of scroll compressors — part II: overall scroll compressor modeling , 2002 .

[8]  Alan H. Karp,et al.  A variable order Runge-Kutta method for initial value problems with rapidly varying right-hand sides , 1990, TOMS.

[9]  P. J. Singh A Digital Reciprocating Compressor Simulation Program Including Suction and Discharge Piping , 1984 .

[10]  G. C. Patel,et al.  A Generalized Performance Computer Program for Oil Flooded Twin-Screw Compressors , 1984 .

[11]  Steven C. Chapra,et al.  Numerical Methods for Engineers , 1986 .

[12]  C. G. Broyden A Class of Methods for Solving Nonlinear Simultaneous Equations , 1965 .

[13]  V. Gnielinski Neue Gleichungen für den Wärme- und den Stoffübergang in turbulent durchströmten Rohren und Kanälen , 1975 .

[14]  Masato Ikegawa,et al.  Computer Modeling of Scroll Compressor with Self Adjusting Back-Pressure Mechanism , 1984 .

[15]  S. Iwamura,et al.  Refrigerant Leakage Flow Evaluation for Scroll Compressors , 1996 .

[16]  James E. Braun,et al.  Mathematical modeling of scroll compressors. Part I: compression process modeling , 2002 .

[17]  James E. Braun,et al.  Modeling of a Two-Stage Rotary Compressor , 2008 .

[18]  Craig R. Bradshaw,et al.  A Miniature-Scale Linear Compressor for Electronics Cooling. , 2011 .

[19]  Stefan Behnel,et al.  Cython: The Best of Both Worlds , 2011, Computing in Science & Engineering.