Table 6 Exergo-economic balance with required auxiliary equations of various system components.

Compressor

\(\mathop C\limits^{ } _{1} - \dot{C}_{2} = - \dot{Z}_{{{\text{com}}}} - {\text{c}}_{{{\text{W}}{\mathrm{ com}}}} \mathop W\limits^{ } _{{{\text{com}}}}\)

\({\text{c}}_{{{\text{W.com}}}} = {\text{ c}}_{{{\text{elec}}}} = 0.115\$ /{\text{kWh}}\)⁸²

Condenser

\(\mathop C\limits^{ } _{2} + \dot{C}_{5} + \dot{Z}_{{{\text{con}}}} = \dot{C}_{3} + \dot{C}_{6}\)

\({\text{ c}}_{{2}} = {\text{c}}_{{3}}\)

Expansion Valve

\(\mathop C\limits^{ } _{3} + \dot{Z}_{{{\text{Ex.V}}}} = \dot{C}_{4}\)

–

Evaporator

\(\mathop Z\limits^{ } _{{{\text{eva}}}} + \dot{C}_{4} + \dot{C}_{9} = \dot{C}_{1} + \dot{C}_{8}\)

\({\text{c}}_{{8}} = {\text{c}}_{{9}}\)

Pump3

\(\mathop C\limits^{ } _{7} + \dot{Z}_{{{\text{Pu3}}}} + {\text{ c}}_{{{\text{W.Pu3}}}} \mathop W\limits^{ } _{{{\text{Pu3}}}} = \dot{C}_{5}\)

\({\text{ c}}_{{{\text{W.Pu3}}}} = {\text{c}}_{{{\text{elec}}}}\)

Cooling tower

\(\mathop C\limits^{ } _{6} + \dot{Z}_{{{\text{WCT}}}} + {\text{ c}}_{{{\text{W}}{\mathrm{ fan}}}} \mathop W\limits^{ } _{{{\text{fan}}{\mathrm{ WCT}}}} + \dot{C}_{{{\text{air}}_{i} }} = \dot{C}_{7} + \dot{C}_{{{\text{air}}_{o} }}\)

\({\text{c}}_{{{\text{air}}{\mathrm{ in}}}} = 0{\text{ c}}_{{{\text{W}}{\mathrm{ fan}}}} = {\text{c}}_{{{\text{elec}}}} {\text{ c}}_{6} = {\text{c}}_{7}\)

Pump 1

–

Pump 2

\(\mathop C\limits^{ } _{{12}} + \dot{Z}_{{{\text{Pu}}2}} + {\text{ c}}_{{{\text{W.Pu}}2}} \mathop W\limits^{ } _{{{\text{Pu}}2}} = \dot{C}_{{13}}\)

\({\text{ c}}_{{{\text{W}}{\mathrm{ P2}}}} = {\text{c}}_{{{\text{elec}}}}\)

Ice storage tank

\(\mathop C\limits^{ } _{8} + \dot{C}_{{13}} + \dot{Z}_{{{\text{ISB}}}} = \dot{C}_{9} + \dot{C}_{{11}} - \dot{C}_{{{\text{Q}}_{{\text{l}}} {\text{,ISB}}}} + \dot{C}_{{{\text{melt}}}} + \dot{C}_{{{\text{freez}}}}\)

\({\text{c}}_{{11}} = {\text{c}}_{{13}} {\text{c}}_{{{\text{q}}{\mathrm{ ISB}}}} = {\text{c}}_{{{\text{melt}}}} = {\text{c}}_{{{\text{freez}}}}\)

Air handling unit

\(\mathop C\limits^{ } _{{14}} + \dot{C}_{{11}} + \dot{Z}_{{{\text{AHU}}}} = \dot{C}_{{12}} + \dot{C}_{{15}}\)

\({\text{ c}}_{{{14}}} { = 0}\)

Wind turbine

\({\text{c}}_{{{\text{WT}}}} {\text{Po}}_{{{\text{us}}}} - \dot{Z}_{{{\text{WT}}}} = \dot{C}_{{{\text{Wi}}_{i} }} - \dot{C}_{{{\text{Wi}}_{o} }}\)

\({\text{c}}_{{{\text{WT}}}} = {\text{c}}_{{{\text{elec}}}} {\text{ c}}_{{{\text{i}}{\mathrm{ Wi}}}} = {\text{c}}_{{{\text{o}}{\mathrm{ Wi}}}}\)