Table 5 PP computation process and its formulation 84.

From: The optimum sizing of zero-emission water-cooled VCR cycle based on exergo-economic-environmental assessment criteria by triple-objective MPSO

Variable

Equation

Salvage value

\({\text{SV = sv}}_{0} \left[ {\frac{{\mathop Z\limits^{ } _{{{\text{total}}.2019.{\text{Capital}}}} + \dot{Z}_{{{\text{WCT}}{\mathrm{ Capital}}}} }}{{{\text{CRF}}_{{{\text{Capital}}}} /{\text{NN}}}}} \right]{\text{ + SV}}_{{{\text{WT}}}} \left[ {\frac{{{\text{1 + r}}}}{{{\text{1 + i}}}}} \right]^{{\text{n}}}\)

\({\text{sv}}_{{0}} { = 0}{\text{ 1}}\)

Total capital expenditure cost

\({\text{TCE}}_{{{\text{total}}{\mathrm{ system}}}} = \left[ {\frac{{\mathop Z\limits^{ } _{{{\text{total}}.2019.{\text{Capital}}}} + \dot{Z}_{{{\text{WCT}}{\mathrm{ Capital}}}} }}{{{\text{CRF}}_{{{\text{Capital}}}} {\text{/NN}}}}} \right] \times {\text{1}}{\mathrm{ 1 + Z}}_{{{\text{WT}}}}\)

Total depreciable expenditure

\({\text{TDE = TCE}}_{{{\text{total}}{\mathrm{ system}}}} - {\text{SV}}\)

Present worth factor

\({\text{PWF = }}\frac{{1}}{{{\text{(1 + i)}}^{{\text{n}}} }}\)

Present factor

\({\text{PW = TCE}}_{{{\text{total}}{\mathrm{ system}}}} {(1 - 0}{\text{ 1}} \times {\text{PWF)}}\)

Annual capital cost

\({\text{ACC}} = {\text{PW}} \times {\text{CRF}}_{{{\text{Capital}}}}\)

Annual book depreciation

\({\text{ABD = }}\frac{{{\text{TDE}}}}{{\text{n}}}\)

Annual Net Cash Flow

\({\text{ANCF}} = {\text{CPW}} \times {\text{Po}}_{{{\text{us}}{\mathrm{ yearly}}}}\)

Average annual profit

\({\text{AAP = ANCF - ABD}}\)

Average rate of return

\({\text{ARR }} = \frac{{{\text{AAP}}}}{{\mathop C\limits^{ } _{{{\text{total}}{\mathrm{ system}}}} \times {\text{NN}}}}\)

Detailed Payback period Ratio

\({\text{DPR}} = \frac{{{\text{TDE}}}}{{{\text{ANCF}}}}\)