modelPolynomialVolumetricEfficiency
Extends from PartialVolumetricEfficiency (Based model used by all models describing volumetric efficiencies).
Information
This model contains a calculation procedure for volumetric efficiency models (for more information, please check out AixLib.Fluid.Movers.Compressors.BaseClasses.PartialCompression). The calculation procedures based on a polynomial approach are presented below.
Implemented approaches
Actually, eigtht polynomial approaches are implemented in this
package. To add further calculation procedures, just add its name in
AixLib.Fluid.Movers.Compressors.Utilities.Types
and expand the if-structure.
| Reference | Formula | Refrigerants |
Validity ncompressor
|
Validity Πpressure
|
|---|---|---|---|---|
| DarrAndCrawford1992 |
ηvol = a1 + a2*n -
a3*epsRef*(ρinlIse/ρinl-1) -
a4*n*(ρinlIse/ρinl-1)
|
R134a |
40 - 75
|
3 - 10
|
| Karlsson2007 |
ηvol = a1*Tinl*π + a2*π + a3 +
a4*Tinl + a5*n + a6*n^2
|
R407c |
No information
|
No information
|
| KinarbEtAl2010 |
ηvol = a1 + a2*π
|
Generic model |
Generic model
|
Generic model
|
| ZhouEtAl2010 |
ηvol = 1 + a1 - a2*π^(1/κ)
|
Generic model |
Generic model
|
Generic model
|
| Li2013 |
ηvol = ηvolRef * (a1 +
a2*(n/nref) + a3*(n/nref)^2)
|
R22,R134a |
30 - 120
|
4 - 12
|
| HongtaoLaughmannEtAl2017 |
ηvol = a1 + a2*(n/nref) +
a3*(n/nref)^2 + a4*π + a5*(n/nref)*π +
a6*(n/nref)^2*π + a7*π^2 +
a8*(n/nref)*π^2 + a9*(n/nref)^2*π^2 +
a10*pout + a11*(n/nref)*pout
+ a12*(n/nref)^2*pout -
a13*pinl - a14*(n/nref)*pinl
- a15*(n/nref)^2*pinl +
a16*pinl*pout +
a17*(n/nref)*pinl*pout +
a18*(n/nref)^2*pinl*pout +
a19*(n/nref)^3*pinl*pout +
a20*(n/nref)^4*pinl*pout -
a21*pinl^2 -
a22*(n/nref)*pinl^2 -
a23*(n/nref)^2*pinl^2 -
a24*(n/nref)^3*pinl^2 -
a25*(n/nref)^4*pinl^2
|
Generic model |
Generic model
|
Generic model
|
| Koerner2017 |
ηvol = a1*π^b1
|
R410a |
50 - 120
|
1 - 10
|
| Engelpracht2017 |
ηvol = a1 + a2*((π-c1)/c2) +
a3*((Tinl-c3)/c4)*((π-c1)/c2) +
a4*((Tinl-c3)/c4) + a5*((n-c5)/c6) +
a6*((n-c5)/c6)^2
|
Generic model |
0 - 120
|
1 - 10
|
References
J.H. Darr and R.R. Crawford (1992): Modeling of an Automotive Air Conditioning Compressor Based on Experimental Data: ACRC Technical Report 14. Publisher: Air Conditioning and Refrigeration Center. College of Engineering. University of Illinois at Urbana-Champaign.
F. Karlsson (2007): Capacity Control of Residential Heat Pump Heating Systems. In: PhD thesis
R. Zhou, T. Zhang, J. Catano, J.T. Wen, G.J. Michna, Y. Peles, and M.K. Jensen, M. K. (2010): The steady-state modeling and optimization of a refrigeration system for high heat flux removal. In: Applied Thermal Engineering 30(16), S. 2347–2356
E. Kinab, D. Marchio, P. Rivière and A. Zoughaib (2010): Reversible heat pump model for seasonal performance optimization. In: Energy and Buildings 42(12), S. 2269–2280
W. Li (2013): Simplified steady-state modeling for variable speed compressor. In: Applied Thermal Engineering 50(1), S. 318–326
Q. Hongtao, C.R. Laughman, D.J. Burns and S.A. Bortoff, (2017): Dynamic Characteristics of an R-410A Multi-split Variable Refrigerant Flow Air-conditioning System. In: IEA Heat Pump Conference 2017
D. Körner (2017): Development of dynamic compression heat pump models to evaluate promising refrigerants considering legal regulations. Master Thesis
M. Engelpracht (2017): Development of modular and scalable simulation models for heat pumps and chillers considering various refrigerants. Master Thesis
Parameters
| Type | Name | Default | Description |
|---|---|---|---|
| Modelling approach | |||
| Types.VolumetricPolynomialModels | polyMod | Types.VolumetricPolynomialModels.Karlsson2007 | Chose predefined polynomial model for flow coefficient |
| Real[:] | a | Multiplication factors for each summand | |
| Real[:] | b | Exponents for each summand | |
| Integer | nT | size(a, 1) | Number of terms used for the calculation procedure |
| Real[:] | c | {1} | Coefficients used for correction factors if needed |
| Reference properties | |||
| Modelica.Units.SI.Frequency | rotSpeRef | 9.334 | Reference rotational speed |
Components
| Type | Name | Default | Description |
|---|---|---|---|
| Modelica.Units.SI.Efficiency | epsRef (from PartialEfficiency) | Ratio of the real and the ideal displacement volume | |
| Modelica.Units.SI.Volume | VDis (from PartialEfficiency) | Displacement volume | |
| Real | piPre (from PartialEfficiency) | Ratio of compressor's outlet and inlet pressure | |
| Modelica.Units.SI.Frequency | rotSpe (from PartialEfficiency) | Compressor's current rotational speed | |
| Medium.ThermodynamicState | staInl (from PartialEfficiency) | Thermodynamic state at compressor's inlet | |
| Medium.ThermodynamicState | staOut (from PartialEfficiency) | Thermodynamic state at compressor's outlet | |
| Modelica.Units.SI.Temperature | TAmb (from PartialEfficiency) | Ambient temperature | |
| Modelica.Units.SI.Efficiency | lamH (from PartialVolumetricEfficiency) | Overall volumetric efficiency | |
| Real[nT] | p | Array that contains all coefficients used for the calculation procedure | |
| Real[2] | corFac | Array of correction factors used if efficiency model proposed in literature differs from efficiency model defined in PartialCompressor model |
Revisions
- October 20, 2017, by Mirko Engelpracht:
First implementation (see issue 467).