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Combined Power and Refrigeration System for Low-Grade Heat

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Combined Power and Refrigeration System for Low-Grade Heat ( combined-power-and-refrigeration-system-low-grade-heat )

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Energies 2021, 14, 410 4 of 15 Figure 1. Schematic of the VCC derived from the basic ORC. 3. Mathematical Modeling The thermodynamic analysis of the system was performed according to the laws of conversation of mass and energy. Cycle simulations were performed using MATLAB and fluid properties of each working fluid were computed using REFPROP [27]. MATLAB and REFPROP were coupled using a function available on the REFPROP website. The REFPROP function can compute all the properties with two known independent state properties. For example, enthalpy (h1) at state point 1 is computed known temperature (𝑇1) and pressure (𝑃1) i.e., h1 = 𝑓(𝑇1, 𝑃1). This dynamic property calculations in MATLAB environment become easier energy balance relations for each component of the studied system are section. (1-2) ORC expander The power generated from the ORC expander can be calculated as: 𝒲τ±Ώτ²€τ±™ = π‘šτ²Ώτ³•τ²Ύ(h1βˆ’h2)=π‘šτ²Ώτ³•τ²Ύ(h1βˆ’h2𝑠)πœ‚τ±Ώτ²€τ±™ (2-3) ORC condenser The heat rejected in the ORC condenser can be calculated as: 𝒬τ±œτ±τ²€τ² = π‘šτ²Ώτ³•τ²Ύ (h2 βˆ’ h3) (3-4) ORC pump The power consumed by the pump can be calculated as: 𝒲τ³½ =π‘šτ²Ώτ³•τ²Ύ(h4βˆ’h3)=π‘šτ²Ώτ³•τ²Ύ(h4π‘ βˆ’h3)/πœ‚τ³½ (4-1) Vapor generator The heat to be received in the ORC vapor generator can be calculated as 𝒬τ²Œτ²τ±™ = π‘šτ²Ώτ³•τ²Ύ(h4 βˆ’ h1) = π‘šτ³€(h9 βˆ’ h10) (4) as a function of way the thermo- and quicker. The presented in this (1) (2) (3)

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