AixLib.Fluid.Movers.Compressors.Utilities.VolumetricEfficiency.PolynomialVolumetricEfficiency

# .AixLib.Fluid.Movers.Compressors.Utilities.VolumetricEfficiency.PolynomialVolumetricEfficiency

Model describing volumetric efficiency based on polynomial approach

## 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`.

"Polynomial approaches" border="1" cellspacing="0" cellpadding="2" style="border-collapse:collapse;">

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

## Revisions

- October 20, 2017, by Mirko Engelpracht:
  First implementation (see issue 467).

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