Page 288 - Design and Operation of Heat Exchangers and their Networks

274 Design and operation of heat exchangers and their networks

Example H2C2_150
This example was used by Zhu (1997) who took the stream data from
Linnhoff and Ahmad (1990, Fig. 6) and cost data from Ahmad et al.
(1990). The problem data are listed in Table 6.10. The best solution
without stream split was found by Pava ˜o et al. (2016), Zhang et al.
(2016a,b), and Wang et al. (2017), with the revised TAC of
1,809,487$/yr. We applied the hybrid genetic algorithm based on the
stagewise superstructure (Luo et al., 2009) to solve this problem. As is
shown in Fig. 6.10, the obtained network has one stream split and four
independent variables, and the minimal TAC is 1,805,242$/yr.

Table 6.10 Problem data for H2C2_150 (Zhu, 1997).
2
_
Stream T in (°C) T out (°C) C (kW/K) α (kW/m K) Cost ($/kWyr)
H1 150 50 200 0.2
H2 170 40 100 0.2
C1 50 120 300 0.2
C2 80 110 500 0.2
HU 180 180 0.2 110
CU 20 40 0.2 10
2
Heat exchanger cost¼0.295260 (30,800+750A 0.81 ) $/yr (A in m )
(Plant lifetime: 6years; rate of interest: 10%; annualization factor: 0.29526)
Total annual cost ($/yr)
Solutions in the literature Reported Revised

Own work – 1,805,242
a
Pava ˜o et al. (2016) 1,814,000 1,809,487
Zhang et al. (2016a,b) a 1,807,805
a
Wang et al. (2017) 1,809,487
Zhu (1997) 1,550,000 1,815,294
Silva et al. (2010) 1,816,470
a
No stream split.
1558
18442. 362
150 50
H1
(200)
8354. 627 1573. 831
170 40
H2
(100)
984 3072
120 50
(300) C1
110 (51.27071) 80 C2
(500)
6645
Fig. 6.10 Optimal solution for Example H2C2_150, TAC¼1,805,242$/yr.