Table 3.

Cost balance and auxiliary equations of ORC configurations.

Components	Cost Balance	Auxiliary equation
Basic ORC
Pump	$c_1\dot{{Ex}_1}+c_p\dot{W_p}+{\dot{Z}}_p=c_2\dot{{Ex}_2}$	$c_p=c_{\mathit{exp}}$
Evaporator	$c_2\dot{{Ex}_2}+c_5\dot{{Ex}_5}+{\dot{Z}}_{ev}=c_3\dot{{Ex}_3}+c_6\dot{{Ex}_6}$	$c_5=c_6$
Expander	$c_3\dot{{Ex}_3}+{\dot{Z}}_{\mathit{exp}}=c_4\dot{{Ex}_4}+c_{\mathit{exp}}{\dot{W}}_{\mathit{exp}}$	$c_3=c_4$
Condenser	$c_4{\dot{Ex}}_4+c_7{\dot{Ex}}_7+{\dot{Z}}_c=c_1{\dot{Ex}}_1+c_8{\dot{Ex}}_8$	$c_4=c_1,c_7=0$
IHE-ORC
IHE	$c_2\dot{{Ex}_2}+c_5\dot{{Ex}_5}+{\dot{Z}}_{IHE}=c_3\dot{{Ex}_3}+c_6\dot{{Ex}_6}$	$c_5=c_6$
Pump	$c_1\dot{{Ex}_1}+c_p\dot{W_p}+{\dot{Z}}_p=c_2\dot{{Ex}_2}$	$c_p=c_{\mathit{exp}}$
Evaporator	$c_3\dot{{Ex}_3}+c_7\dot{{Ex}_7}+{\dot{Z}}_{ev}=c_4\dot{{Ex}_4}+c_8\dot{{Ex}_8}$	$c_7=c_8$
Expander	$c_4\dot{{Ex}_4}+{\dot{Z}}_{\mathit{exp}}=c_5\dot{{Ex}_5}+c_{\mathit{exp}}{\dot{W}}_{\mathit{exp}}$	$c_4=c_5$
Condenser	$c_6{\dot{Ex}}_6+c_9{\dot{Ex}}_9+{\dot{Z}}_c=c_1{\dot{Ex}}_1+c_{10}{\dot{Ex}}_{10}$	$c_6=c_1,c_9=0$
FFH-ORC
FFH	$c_6\dot{{Ex}_6}+c_2\dot{{Ex}_2}+{\dot{Z}}_{FFH}=c_3\dot{{Ex}_3}$
Pump-I	$c_1\dot{{Ex}_1}+c_{pI}{\dot{W}}_{pI}+{\dot{Z}}_{pI}=c_2\dot{{Ex}_2}$	$c_{pI}=c_{\mathit{exp}}$
Pump-II	$c_3\dot{{Ex}_3}+c_{pII}{\dot{W}}_{pII}+{\dot{Z}}_{pII}=c_4\dot{{Ex}_4}$	$c_{pII}=c_{\mathit{exp}}$
Evaporator	$c_4\dot{{Ex}_4}+c_8\dot{{Ex}_8}+{\dot{Z}}_{ev}=c_5\dot{{Ex}_5}+c_9\dot{{Ex}_9}$	$c_8=c_9$
Expander	$c_5\dot{{Ex}_5}+{\dot{Z}}_{\mathit{exp}}=c_6\dot{{Ex}_6}+c_7\dot{{Ex}_7}+c_{\mathit{exp}}{\dot{W}}_{\mathit{exp}}$	$c_6=c_5,c_7=c_5$
Condenser	$c_7{\dot{Ex}}_7+c_{10}{\dot{Ex}}_{10}+{\dot{Z}}_c=c_1{\dot{Ex}}_1+c_{11}{\dot{Ex}}_{11}$	$c_7=c_1,c_{10}=0$
IHE–FFH–ORC
Pump-I	$c_1{\dot{Ex}}_1+c_{pI}{\dot{W}}_{pI}+{\dot{Z}}_{pI}=c_2{\dot{Ex}}_2$	$c_{pI}=c_{hpe}$
IHE	$c_{10}{\dot{Ex}}_{10}+c_2{\dot{Ex}}_2+{\dot{Z}}_{IHE}=c_{11}{\dot{Ex}}_{11}+c_3{\dot{Ex}}_3$	$c_{10}=c_{11}$
FFH	$c_3{\dot{Ex}}_3+c_9{\dot{Ex}}_9+{\dot{Z}}_{FFH}=c_4{\dot{Ex}}_4$
Pump-II	$c_4{\dot{Ex}}_4+c_{pII}{\dot{W}}_{pII}+{\dot{Z}}_{pII}=c_5{\dot{Ex}}_5$	$c_{pII}=c_{lpe}$
Evaporator	$c_5{\dot{Ex}}_5+c_{12}{\dot{Ex}}_{12}+{\dot{Z}}_{ev}=c_6{\dot{Ex}}_6+c_{13}{\dot{Ex}}_{13}$	$c_{12}=c_{13}$
High-pressure expander	$c_6{\dot{Ex}}_6+{\dot{Z}}_{hpe}=c_7{\dot{Ex}}_7+c_{hpe}{\dot{W}}_{hpe}$	$c_6=c_7,c_7=c_8,c_7=c_9$
Low-pressure expander	$c_8{\dot{Ex}}_8+{\dot{Z}}_{lpe}=c_{10}{\dot{Ex}}_{10}+c_{lpe}{\dot{W}}_{lpe}$	$c_{10}=c_8$
Condenser	$c_{11}{\dot{Ex}}_{11}+c_{14}{\dot{Ex}}_{14}+{\dot{Z}}_c=c_1{\dot{Ex}}_1+c_{15}{\dot{Ex}}_{15}$	$c_{11}=c_1,c_{14}=0$