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Application of H&S and UFS models for a parametric analysis of the exergoeconomic variables of an organic Rankine cycle-vapor-compression refrigeration system

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Abstract

Alternative thermoeconomic models that propose novel concepts to solve both dissipative component and waste problems have been published such as H&S Model and UFS Model. These models have been applied to carry out cost and/or environmental impact allocations, and operational diagnosis. Thus, they were not applied to perform cost assessments for systems improvement. In this paper, both H&S and UFS models are concomitantly applied to an Organic Rankine Cycle coupled to a vapor-compression refrigeration cycle, being the H&S applied to the power cycle and the UFS applied to the refrigeration cycle. The objective is to verify whether both thermoeconomic approaches can be applied to obtain the exergoeconomic variables of both cycles. The exergoeconomic variables analyzed in this study are the exergetic efficiency (product-fuel ratio), cost rate of exergy destruction, sum of component investment and exergy destruction cost rates, relative cost difference, and exergoeconomic factor. In addition, a parametric analysis of these variables is done. To better analyze the results from the application of both H&S and UFS models, Specific Exergy Costing is applied as well. The results show that there is a limitation in the boiler exergoeconomic modeling considering both Specific Exergy Costing and H&S Model. This is due to the zero cost of the system’s overall fuel, which can be considered a singularity. In general, both H&S and UFS models can be applied to obtain the exergoeconomic variables of systems that undergo thermodynamic cycles.

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Abbreviations

c :

Unit exergoeconomic cost

f :

Exergoeconomic factor

r :

Relative cost difference

y :

Relative exergy destruction

\(\dot{C}\) :

Cost rate

CRF:

Capital recovery factor

Ė :

Exergy rate

\(\dot{F}\) :

Flow work term

\(\dot{H}\) :

Enthalpic term

IF:

Installation factor

PEC:

Purchase equipment cost

\(\dot{Q}\) :

Heat transfer rate

\(\dot{S}\) :

Entropic term

T :

Temperature

\(\dot{U}\) :

Internal energy term

\(\dot{W}\) :

Power

\(\dot{Y}\) :

Generic productive flow

\({\dot{{Z}}}\) :

Component cost rate

ε:

Exergetic efficiency

η:

Isentropic efficiency

τ:

Hours of operation per year

0:

Environment

blr:

Boiler

cmp:

Compressor

cnd:

Condenser

evp:

Evaporator

in:

Inlet

k:

K-th component

orc:

Organic Rankine Cycle

out:

Outlet

pmp:

Pump

trb:

Turbine

vcr:

Vapor compression refrigeration

vlv:

Valve

C:

Cold thermal reservoir

D:

Exergy destruction

F:

Fuel

H:

Hot thermal reservoir

P:

Product

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Authors and Affiliations

  1. Laboratory of Power Generation (Lagepot), Department of Mechanical Engineering (DEM), Federal University of Espírito Santo (Ufes), Vitória, ES, Brazil

    Atilio B. Lourenço

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Correspondence to Atilio B. Lourenço.

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The author used Engineering Equation Solver software to write a code for modeling.

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Lourenço, A.B. Application of H&S and UFS models for a parametric analysis of the exergoeconomic variables of an organic Rankine cycle-vapor-compression refrigeration system. J Braz. Soc. Mech. Sci. Eng. 43, 518 (2021). https://doi.org/10.1007/s40430-021-03231-x

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