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 CCHHEEMMIICCAALL  EENNGGIINNEEEERRIINNGG  TTRRAANNSSAACCTTIIOONNSS  
 

VOL. 39, 2014 

A publication of 

 
The Italian Association 

of Chemical Engineering 

www.aidic.it/cet 
Guest Editors: Petar Sabev Varbanov, Jiří Jaromír Klemeš, Peng Yen Liew, Jun Yow Yong  

Copyright © 2014, AIDIC Servizi S.r.l., 

ISBN 978-88-95608-30-3; ISSN 2283-9216 DOI: 10.3303/CET1439002 

 

Please cite this article as: Liew P.Y., Wan Alwi S.R., Klemeš J.J., Varbanov P.S., Manan Z.A., 2014, Utility-heat exchanger 

grid diagram: a tool for designing the total site heat exchanger network, Chemical Engineering Transactions, 39, 7-12  

DOI:10.3303/CET1439002 

7 

Utility-Heat Exchanger Grid Diagram: A Tool for Designing the 

Total Site Heat Exchanger Network 

Peng Yen Liew
a
, Sharifah Rafidah Wan Alwi*

a
, Jiří Jaromír Klemeš

b
, 

Petar Sabev Varbanov
b
, Zainuddin Abdul Manan

a
 

a
Process Systems Engineering Center (PROSPECT), Faculty of Chemical Engineering, Universiti Teknologi Malaysia, 

81310 UTM Johor Bahru, Johor, Malaysia 
b
Centre for Process Integration and Intensification – CPI

2
, Research Institute of Chemical and Process Engineering - 

MŰKKI, Faculty of Information Technology, University of Pannonia, Egyetem u.10, H-8200 Veszprém, Hungary. 

shasha@cheme.utm.my 

The world industrial energy consumptions have gained the focus from the sustainability experts. Industrial 

Energy Efficiency is one of the important aspects that contributed to the energy consumptions. Process 

Integration using Pinch Analysis is a very well established tool for energy conservation through systematic 

design methodology of Heat Exchanger Network – HEN. The HEN for heat recovery within a single process is 

design using the Grid Diagram. The streams temperature and heat duty are the main aspect in design a HEN 

through Grid Diagram. The hot utility at above Pinch region is typically placed at the highest temperature, 

while cold utility at below Pinch is located at lowest temperature. Heat Integration is extended for covering 

multiple processes heat recovery via utility system, known as Total Site Heat Integration. There is a lot of 

research done on graphical and numerical targeting of the minimum utility requirement for a Total Site (TS) 

system. Some mathematical models of the TS utility system have been introduced to optimise the TS utility 

consumption. However, these methodologies have not discussed the heat exchanger arrangements in the TS 

HEN. The heat exchangers arrangement in a TS system should be able to produce steam at the high 

temperature, while the hot utility consumption should be placed as low temperature as possible. This design 

requirement is not the same as the design terminology for Grid Diagram in single process heat integration. In 

this paper, the Utility-HEN Grid Diagram is introduced for assisting the HEN design for a TS system to 

maximise the heat recovery using indirect heat transfer. This tool is able to visualise the heat transfer between 

processes in the TS system. The Utility-HEN Grid Diagram allows the heat exchangers to be designed 

according to utility temperature. The design process would be very much beneficiated by the Multiple Utility 

Problem Table Algorithm (MU-PTA) and the Total Site Utility Distribution (TSUD) Table. The methodology is 

demonstrated by an illustrative case study. 

1. Introduction 

Heat Integration (HI) is introduced to enhance energy efficiency in chemical processing industry. Pinch 

analysis is a well-established concept, which is widely used for targeting energy consumption, designing the 

Heat Exchanger Network (HEN) and identifying process integration opportunities (Klemeš, 2013). The HI 

concept has been extended from individual process level to a Total Site (TS) level, which comprises of several 

processes or industrial clusters (Dhole and Linnhoff, 1993). The TS HI methodologies are well developed 

using the graphical (Fodor et al., 2012) and numerical (Liew et al., 2012) methodology. The methodologies are 

proposed for targeting the minimum energy requirement of TS system. A lot of efforts are used to optimise the 

utility system and cogeneration system in TS context (Velasco-Garcia et al., 2011).  

Grid Diagram (GD) is the most common used methodology for designing the HEN in the single processing 

plant integration (Linnhoff et al., 1982). There are other tools proposed for designing the HEN. Wan Alwi and 

Manan (2010) proposed a novel methodology for simultaneous targeting and designing HEN. Mizutani et al. 

(2003) performed a HEN synthesis using mathematical programming model based on trade-off between 

piping cost and heat transfer area. Soršak and Kravanja (2002) introduced MINLP model for HEN synthesis 



 
8 

 
based on different heat exchanger type selection. Pejpichestakul and Siemanond (2013) perform a process 

retrofit ensuring cost-effective HEN using mathematical optimisation methodology. Morrison et al. (2012) 

proposed a mathematical model extension to design HEN for non-continuous processes.  

Liew et al. (2014) proposed the TS retrofit framework. Appropriate utility placement at heat sink and heat 

sources are identified as an important factor for improving utility consumption in TS. It is important to ensure 

that the utility is placed correctly in the design stage. Individual process HEN design typically does not 

consider steam generations by process streams for indirect heat transfer between processes. The HEN 

design in TS Heat Integration is indeed important to ensure steam consumption and generation take place at 

the appropriate utility levels. The Utility-HEN Grid Diagram is proposed in this work for designing TS HEN, 

steam boilers and steam consumers according to the utility temperature. The TS energy targeting method 

considering water sensible heat (Liew et al., 2014) is used in this methodology in order to include the boiler 

feed water preheat, evaporation and superheat in the HEN design.  

2. Methodology 

The overall HEN synthesis methodology aided by Utility-HEN Grid Diagram is described as below: 

2.1 Step 1: Extract stream data 

The process stream data is extracted from the process design flow sheet, which are mass flow rate (ṁ), heat 

capacity (Cp), supply temperature (Ts), target temperature (Tt) and heat duty (∆H). 

2.2 Step 2: Target utility consumption 
Multiple utility requirement of single process is first determined using Multiple Utility - Problem Table Algorithm 

(Liew et al., 2012). The TS utility consumption considering energy consumption for water sensible heat is then 

targeted using the modified TS- Problem Table Algorithm proposed in Liew et al. (2014). The amount of 

energy determined for steam preheat and superheat in the proposed methodology are identified as the heat 

duty for preheater and superheater. The energy flow between processes and utility system is then able to be 

illustrated in the modified Total Site Utility Distribution (TSUD) Table. The energy consumptions for preheater 

and superheater, as well as steam produced via condensate recovery, are recorded in the TSUD table. These 

tools aids the process of HEN synthesis for a TS together with preheater, evaporator and superheater 

included. 

2.3 Step 3: Construct Utility-HEN Grid Diagram 
The Utility-HEN Grid Diagram is an extension of the Grid diagram for HEN design in conventional Pinch 

Analysis.  The heat exchangers are represented according to the temperature profile in the Utility-HEN Grid 

Diagram. This would actually eliminate the step for checking minimum temperature using temperature -

enthalpy diagram for counter flow heat exchangers. The steps and heuristics are summarised as following: 

(1) Draw the utilities temperature and stream lines according to its respective normal temperature. Shifted 

utility temperature is added for hot streams at utility below pinch temperature with minimum allowable 

temperature difference between utility and processes (ΔTminu,p) added to the utility temperature (Eq.1). Utility 

temperature at below Pinch temperature is added for cold stream by deducting ΔTminu,p from utility 

temperature (Eq.2). 

Hot streams at below Pinch Region:  

Shifted utility temperature = Utility temperature + ΔTminu,p (1) 

Cold streams at above Pinch Region:   

Shifted utility temperature = Utility temperature - ΔTminu,p (2) 

(2) Design the network together with preheater (PH), evaporator (EV) and superheater (SH) for all the 

processes based on Multiple Utility – Problem Table Algorithm or TSUD table. The design should be done 

according to temperature interval between utility temperature and Pinch temperature.  

Heuristic 1: Start the network design with the interval which is immediately above and immediately below 

Pinch temperature. 

Heuristic 2: If steam generation is required in the temperature interval, assign process-to-process heat 

exchangers, before steam generation equipment. For process-to-process heat exchangers, use CP 

rules (Eq.3) to determine stream pairs for process-to-process heat exchange, which heat capacity flow 

rate (CP) flowing outwards the Pinch temperature should be larger or equal to the CP flowing towards 

the Pinch temperature.  

CPout ≥ CPin (3) 



 
9 

Heuristic 3: Cross utility process-to-process heat exchange is allowed for utilising heat sources from higher 

temperature to lower temperature interval. Cross-process Pinch heat transfer is strictly not permissible. 

Heuristic 4: If steam generation is required in the temperature interval, preheater should be placed nearest 

to the low boundary in respective temperature interval, while superheater should be allocated close to 

high boundary.  

Heuristic 5: Stream splitting is considered when the energy consumption higher than the targeted energy 

requirement in Step 2. 

Heuristic 6: Use heat loop or heat path terminology (Klemeš, 2013) to minimise the number of heat 

exchangers use in the network design.  

3. Case Study 

An illustrative case study is used to demonstrate the methodology proposed in this work. This case study 

consist of two processes with four utility types serving the plant, which are High Pressure Steam (HPS – 270 

°C), Low Pressure Steam (LPS – 133.5 °C) and Cooling Water (CW – 25 °C). Table 1 shows the streams data 

together with minimum allowable temperature difference between processes (∆Tmin,pp) and between process 

and utility (∆Tmin,up). 

Table 1: Stream data for Illustrative Case Study 

Stream Ts (°C) Tt (°C) ∆H (MW) ṁCP (kW/°C) Stream Ts (°C) Tt (°C) ∆H (MW) ṁCP (kW/°C) 

Process A (∆Tmin,pp = 20 °C; ∆Tmin,up = 10 °C) Process B (∆Tmin,pp = ∆Tmin,up =  10 °C) 

H1A 200 100 20.0 200 H1B 200 50 04.50 30 

H2A  150 60 36.0 400 H2B 240 100 02.10 15 

C1A 50 120 49.0 700 H3B 200 119 18.63 230 

C2A 50 220 25.5 150 C1B 30 200 06.80 40 

 
    

C2B 50 250 04.00 20 

 

The data is analysed using the modified TS-PTA methodology (Liew et al., 2014) for determining the utility 

requirement at different level, the amount of energy consumed by BFW preheat, as well as steam superheat. 

The amount of energy recovered from condensate is also targeted in this step. A total of 10,778 kW of energy 

from boiler is consumed at the LPS (3,778 kW) and HPS (7,000 kW) heaters, while total cooling requirement 

of the TS is 7,283 kW. Based on the targeting result using modified TS - Problem Table Algorithm, energy 

consumption on water sensible heat, a total of 2,147 kW of energy is consumed for producing 4.623 kg/s of 

MPS. In order to produce this amount of MPS, 2,044 kW of heat source are used to preheat the boiler feed 

water and 103 kW of energy is consumed for superheating saturated steam. HPS condensate is flashed to 

LPS, which recovers 2,721 kW of LPS for process usage. The amount of energy consumptions are recorded 

in the Total Site Utility Distribution - TSUD table (Table 2). The energy flows between processes and utilities 

are clearly illustrated by using this tool.  

Table 2: Modified Total Site Utility Distribution (TSUD) table  

 
Heat Sources (kW) Heat Sinks (kW) 

 
Process Utility Process Utility 

 
A B Recovery Heaters A B Preheaters Superheaters Coolers 

   
    

 

     HPS 0 0 - 7,000 6,000 1,000 - - - 

  
  

 

      LPS 0 12,148 2,721 3,778 16,500 0 2,044 103 - 

 

 

   

       CW 4,000 3,283 - - 0 0 - - 7,283 

The streams, Pinch and utility temperature are first plotted in the Utility-HEN Grid Diagram as Figure 1. For 

Process A, the ∆Tmin,up is added to utility temperature at below Pinch region for hot streams, which the 

effective CW temperature for hot streams is shifted to 25 °C. In above Pinch region, the ∆Tmin,up is deducted 

from the utility temperature for cold stream. For example, LPS temperature shifted to 123.5 °C for cold 

streams in Process A. In Process B, LPS is below Pinch temperature. The LPS temperature is added with 

∆Tmin,up to 143.5 °C. The temperature intervals for HEN design are identified in Figure 1.  



 
10 

 

100°C
H1A

200°C

150°C60°C
H2A

120°C
C1A

220°C
C2A

H2B

H3B

PINCH 

200°C

30°C
C1B

250°C50°C
C2B

190°C

H1B

123.5°C

25°C

260°C

260°

C

LPS

133.5°C

HPS

270°C

CW

15°C

25°C

PINCH 

70°C

50°C

143.5°C

200°C

Process A

Process B

∆Tmin,up 

∆Tmin,pp 

∆Tmin,up 

∆Tmin,up ∆Tmin,pp 

∆Tmin,up 

100°C

119°C

240°C

50°C∆Tmin,up 

∆Tmin,up 

Interval 1 Interval 2 Interval 3

Interval 4 Interval 5 Interval 6

70°C

Interval 2

100°C

133.5°C

50°C 123.5°C

6,700 kW

6,700 kW

25,400 kW

25,400 kW
120°C

23,600 kW

4,325 kW

 200°C143.5°C

2,260 kW

1,130 kW

190°C133.5°C

10,735 kW

848 kW

1,130 kW565

Interval 5
 

Figure 1: Utility-HEN Grid Diagram  Figure 2: Example of preliminary 

HEN design for Interval 2 & 5 

According to “Heuristic 1”, the HEN design should start from the Pinch temperature, which means Interval 2 

should be design before Interval 3. The HEN for Interval 5 should be designed before Interval 4. HEN design 

for Interval 2 and 5 are used to demonstrate “Heuristics 2 - 4”. 
 

100°C
H1A

HE3

200°C

150°C

60°C

C1 H2A

120°C

96.4°C

86.3°C

C1A HE6

HE3
220°C

C2A H2

87.8°C 160.2°C

EV1HE8C2

240°C100°C
HE9EV2C3

193.1°C

H2B

H3B

125.5°C
181.9°C

HE11

152.4°C

EV3
HE10C4

PH2

200°C

30°C

H3HE10HE11C1B

250°C225°C50°C
HE9 H4HE7HE8C2B

190°C

H1B

119°C

123.5°C

25°C

260°C

260°C

LPS

133.5°C

180°C

HPS

270°C

CW

15°C

25°C

70°C

50°C

143.5°C

200°C

Process A

Process B

HE4

HE4

HE7

SH1

50°C

HE1

HE2 HE1

157.6°C

HE2

HE5

94.7°C

HE6

H1

 

Figure 3: HEN design with Utility-HEN Grid Diagram  

In the preliminary HEN design for Interval 2, process-to-process heat exchangers are designed at the first 

place (Heuristic 2). There are remaining 29,725 kW (25,400 + 4,325 kW) of unsatisfied cooling demands in 

this temperature interval. These demands need to be heated by process heat sources or steam at LPS level. 

However, the Modified TSUD table (Table 2) shows Process A consists 16,500 kW of process heat sinks, 

which means that there is excess cooling demand in this design. Cross-utility heat transfer without crossing 

process Pinch is allowed in TS HEN design (Heuristic 3). The excess cooling demand is allowed to be heated 



 
11 

by process heat sources at Interval 3. The cooling demands of C1A and C2A are partially heated by excess 

heat sources at Interval 3, which are shown as HE2 and HE3 in Figure 3.  

Similar to Interval 2, Interval 5 should be designed before Interval 4 (Heuristic 1). According to “Heuristic 2”, 

process-to-process heat exchange opportunities are first identified for the preliminary HEN design for Interval 

5 as shown in Figure 2. After considering heat recovery within temperature interval is considered, there are 

12,148 kW of heat sources in excess for steam generation (Heuristic 4) or process-to-process heat exchange 

(Heuristic 3). This amount of excess energy tally with Table 2, in which 2,044 kW, 10,001 kW and 103 kW of 

energy is consumed by preheater, evaporator and superheater for generating LPS. “Heuristic 4” is used for 

assigning steam generation equipment in Interval 5. Superheater should be allocated at the higher boundary 

of the temperature interval. The 103 kW superheater (SH1) is placed at stream H2B, due to the high 

temperature heat sources in another two streams are consumed for heat recovery within process. A preheater 

is assigned at the stream H3B due to energy content remained in other streams are insufficient to satisfy the 

requirement. Lastly, evaporators are allocated to utilise the heat sources in all the streams for generating LPS. 

The new utility system and HEN is designed according to temperature intervals and shown in Figure 3. 

Split streams (Heuristic 5) are not required to be performed in this case study, because the network design 

achieved the maximum heat recovery as suggested in the targeting step. The HEN design in Figure 2 can be 

evolved by heat loop and path (Heuristic 6). HE1, HE2 and HE4 are exchanging energy between H1A and 

C2A. These heat exchangers could be combined for reducing the capital cost involved, if the heat load of HE3 

moved to lowest temperature. HE5 and HE6 could also be combined for reducing the number of heat 

exchangers. The final HEN design is shown in Figure 4, while the equipment heat duties are listed in Table 4. 

 

197.5°C100°C
H1A

HE2 200°C

150°C

60°C

C1 H2A

120°C

96.4°C95.7°C

C1A HE3

HE1

H1

220°C

C2A H2

87.8°C 160.2°C

EV1HE5C2

240°C100°C
HE6EV2C3

193.1°C

H2B

H3B

125.5°C
190.1°C

HE8

152.4°C

EV3
HE7C4

PH2

200°C

30°C

H3HE7HE8C1B

250°C225°C50°C
HE6 H4HE4HE5C2B

190°C

H1B

119°C

123.5°C

25°C

260°C

260°C

LPS

133.5°C

180°C

HPS

270°C

CW

15°C

25°C

70°C

50°C

143.5°C

200°C

Process A

Process B

HE1

HE1

HE4

SH1

∆Tmin,up 

∆Tmin,pp 

∆Tmin,up 

∆Tmin,up ∆Tmin,pp 

∆Tmin,up 

50°C

HE3

 

Figure 4: Final HEN design with Utility-HEN Grid Diagram after evolution with heat loops 

4. Conclusion 

The Utility-HEN Grid Diagram is proposed in this work to design a TS HEN. The proposed methodology is an 

extension for Grid Diagram in conventional Pinch Analysis. The equipment’s’ temperature profile are illustrated 

in the Utility-HEN Grid Diagram. This feature replaced the temperature profile checking using enthalpy-

temperature profile. Heuristics for Grid Diagram are enhanced for the HEN design considering steam  



 
12 

 
Table 4: Equipment heat duties for the HEN design in Utility-HEN Grid Diagram 

Equipment Duty (kW) Equipment Duty (kW) Equipment Duty (kW) Equipment Duty (kW) 

HE1 19,500 HE7 2,260 SH1 103 H1 16,500 

HE2 500 HE8 4,140 C1 4,000 H2 6,000 

HE3 32,000       EV1 565 C2 1,134 H3 400 

HE4 1,130 EV2 744 C3 652.5 H4 600 

HE5 1,670 EV3 8,691 C4 1,495   

HE6 600 PH1 2,044     

generation using process hot streams. The proposed methodology is able to design HEN with targeted energy 

requirement using Modified TS - Problem Table Algorithm and illustration on Modified TS Utility Distribution 

table. The proposed methodology is ensuring that the TS utility consumption take place at correct utility level. 

In TS HEN design, high temperature heat sources are properly utilised and energy consumption consequently 

reduced in TS context. The Utility-HEN Grid Diagram is drawn according to heat exchanger’s inlet/outlet 

stream temperature. This reduced the effort to perform temperature check using temperature - enthalpy 

diagram. 

Acknowledgement 

The authors would like to thank the Universiti Teknologi Malaysia (UTM) in providing the research fund (Vote 

No Q.J130000.2509.07H35) and the Ministry of Education Malaysia for offering PhD scholarship to the first 

author. This work also received the support from the EC project Energy - ENER/FP7/296003/EFENIS and the 

Hungarian project Tarsadalmi  Megujulas Operativ Program - TAMOP – 4.2.2.A-11/1/KONV-2012- 0072, which 

are highly appreciated by the authors. 

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