1. Introduction
Today, industrial companies must meet a wide range of requirements. Generally, processes should exhibit maximum economic efficiency alongside high energy efficiency and low emissions. In the medium to long term, rising energy prices and incentive taxes will make it essential that energy-intensive companies increase their energy efficiency in order to remain competitive. In recent years, industry has made great efforts in the field of energy efficiency; however, considerable potential for increasing efficiency remains. One specific approach to help achieve targets is the integration of heat pumps (HPs) in industrial processes. Depending on the emission factor of electric energy, the integration of HPs is a key enabler of decarbonisation of the heating and cooling supply. Furthermore, with the use of HPs, heat recovery (HR) can be increased and the required utilities reduced in turn.
In this work, Pinch Analysis (PA) is used to integrate heat pumps into industrial processes. PA allows for the analysis of heat recovery potential and HP integration. Townsend and Linnhoff [
1] defined the rules for HP integration in PA for continuous processes using the Grand Composite Curve (GCC). Hindmarsh et al. [
2] showed the influence of the evaporating temperature of refrigeration systems on their power consumption by integrating HP across the Pinch. Wallin et al. [
3] developed a method for determining the optimal temperature level and optimal HP size and type using composite curves. Their work was further extended using the GCC [
4]. However, it should be noted that true temperatures have to be used instead of the shifted temperatures in the GCCs when calculating the actual temperature lift of HPs, as this affects the performance of the HP. The graphical approach using GCC for HP integration has been applied to several case studies, including a whiskey production process [
5], a cheese factory [
6], a biomass gasification process [
7], and a confectionery production plant [
8]. Schlosser et al. [
9] developed the Heat Pump Bridge Analysis (HPBA) for the efficient integration of heat pumps using Modified Energy Transfer Diagram [
10]. The Modified Energy Transfer Diagram is an adaption of the GCC to represent existing heat exchangers (HEXs) in the network. Without the assumption that the remaining heat recovery potential is to be exploited (as in the GCC), the HPBA is able to increase heat recovery rate and reduce temperature increase in the HP.
For various reasons (irregular production schedules, high demand for flexibility, product changes, different workloads, interruptions for cleaning, etc.), many industrial processes are non-continuous in nature. In non-continuous processes, direct HR is usually limited due to the different process schedules of the single streams [
11]. On account of temporal variations in the heating and cooling requirements for integration of HPs, their use in non-continuous processes presents particular difficulties in selecting an HP with appropriate operational characteristics (such as feasible evaporation and condensation temperature ranges) as well in their optimal placements across the Pinch Point [
8]. Despite this, such systems have been shown to be economically viable (e.g., waste HR from batch reactor systems [
12]), and a small though growing number of non-continuous process HP integration case studies [
13].
In order to smooth out fluctuations in power consumption, thermal energy storage (TES) is usually integrated in addition to HP. Glembin et al. [
14] demonstrated a methodology for TES integration in a solar thermal power system including an HP. Energy demand can be reduced by increasing the number of temperature levels at which heat is stored or delivered. Another approach for TES integration in HP systems was developed by Floss and Hofmann [
15], where the authors studied the efficiency of an HP based on the arrangement of the TES integration into the HP either in parallel or in series.
The systematic integration of HP and TES into non-continuous processes is a major challenge in terms of conceptual design, layout, and planning, as well as for operation. Multiple challenges faced by the industry in the integration of HP have prevented the widespread adoption of the technology [
16]. Becker et al. [
17] developed a method combining the Time Average Model (TAM) with restricted matches [
18] to optimally integrate HPs in a cheese factory. The same method can be applied including specific process characteristics. Becker and Maréchal [
19] carried out a multi-objective optimisation of operating and capital costs for different combinations of HP configurations implemented in non-continuous processes using the Time Slice Model (TSM) and TES. Schlosser et al. [
20] designed an intelligent HP and TES system using a standby control system to deal with the complicated and highly variable heat sources and sinks in manufacturing systems. By simultaneously combining HP and TES systems with standby control systems, the authors were able to minimise energy demands and maximise waste HR. Prendl et al. [
21] carried out a mathematical optimisation to simultaneously integrate HP and storage into multi-period superstructure formulation. Their work built on the optimisation superstructure [
22] with a convex linearisation of the cost function based on the size and energy consumption of HP [
23], with a continuation to extend the work by introducing additional storage considerations to allow and enhance HR between operating cases. Various approaches from the literature can enable complex analysis of non-continuous processes, although these require a high level of user knowledge as well as substantial computation power and time, leading to optimal though largely impractical results, e.g., a plant design with multiple splits. Stampfli et al. [
24] combined PA with mathematical programming techniques to allow for the practical engineering flexibility to integrate HP in non-continuous processes while avoiding long computation times. The authors restricted the solution space using PA and reduced the complexity of the problem to a nonlinear programming problem involving optimizing the temperature level in the HP system. The work carried out by Stampfli et al. [
24] considered HP integration in a utility system; however, Becker et al. [
17] have shown that direct heat exchange between the process and the HP yields higher efficiency. Integrating the HP system directly into the process can reduce temperature increase in the HP, meaning that less heat is exchanged between the process streams and the HP.
1.1. The Indirect Source Sink Profile
To exploit the indirect heat recovery (IHR) potential of processes, ref. [
25] TAM-based methods are used for analysis. The TAM represents the average heat flow over a repetitive time period of the process, called the streamwise repeated operation period (SROP). As it disregards the scheduling of the process, the TAM provides an upper bound for the direct and IHR potential of a process. In this work, the Indirect Source Sink Profile (ISSP) is used to address the non-continuous nature of industrial processes. The ISSP was introduced by Olsen et al. [
26], and is based on the development of Krummenacher and Favrat [
27] and Walmsley et al. [
28]. Krummenacher and Favrat [
27] developed a methodology for heat integration of batch processes based on TAM. Walmsley et al. [
28] built on this methodology to design HR loops for IHR of semi-continuous processes, where it accounts for shifting of stream temperatures based on the heat transfer coefficients. The ISSP is built based on both these works, with the streams in the ISSP rearranged in priority relative to one another using temperature shifting. This ensures better distribution of capital costs related to the HR HEX. Streams with “high attractiveness for IHR” are shifted less; therefore, streams that have longer duration or have larger film heat transfer coefficient are shifted less in the ISSP, leading to higher IHR utilisation. In addition, the ISSP method ensures that the resulting storage system is technically feasible, the heat balance is guaranteed, and the required amount of storage and HEXes are as low as possible. The latter objective is enabled by the assignment zone (AZ) algorithm for the ISSP, which was introduced by Abdelouadoud et al. [
29]. AZs prescribe the degree of freedom in terms of the enthalpy to be stored within one storage intermediate loop (IL) and the temperatures at which ILs are to be operated. The sizing of the storage volumes is based on the sequence of the loading and unloading phases of the TSM.
Figure 1 illustrates an exemplary ISSP with corresponding storage ILs. The ILs are displayed as black lines, directly showing the extent to which the IHR of each IL is realized and at what temperature levels the storage operates. Furthermore, the Heat Exchanger and Storage Network (HESN) is directly derived from the ISSP, as it matches the hot and cold streams to their respective ILs. While the ISSP method enables IHR, it does not, to date, include any functionality to assist in the integration of HPs.
1.2. Problem Statement and Aims
The systematic integration of a heat pump and thermal energy storage into non-continuous processes is a major challenge in terms of conceptual design, layout, and planning, as well as operation. In addition to the aforementioned literature on HP integration using PA, HP integration in non-continuous processes is usually formulated in mathematical programming as a mixed-integer nonlinear problem (MINLP). Although mathematical programming provides a wide variable solution space and optimal design, it tends to involve high computation times and requires specialised engineers. This means that while mathematical programming may lead to optimal results, it may not always lead to practical results. In order to achieve field deployment of HPs in non-continuous processes, engineers must have tools at hand that help to produce practical system designs with potential for widespread adoption involving an acceptable level of training. The aim of this work is to address the challenges facing HP integration in non-continuous processes using a method that is:
Practice-oriented: solutions that are applicable in industry;
Engineer/user-centric: user-friendly workflow where engineers/users are able to follow through and control the solution;
Easily adoptable: low degree of user specialization conferring widespread adaptability along with acceptably low computation times.
This work aims to extend the ISSP method for the integration of HPs in combination with TES (HPTES system) into non-continuous processes in order to improve energy efficiency. There is currently a gap in the literature in that there is no method to evaluate the integration of HPs combined with IHR systems or separate from them. Theoretically, TES requirements can be reduced in a combined HP and IHR system. However, with a separate HP system the HP is less interconnected with the processes and may be more robust in operation. The novelties introduced in this paper are:
2. Methodology
2.1. Overall Workflow
This paper develops a workflow that enables the practical integration of a heat pump and thermal energy storage system into non-continuous processes. The work provides a structured framework for HP integration with TES into non-continuous processes.
Figure 2 shows an overview of the proposed workflow.
Embedded in the workflow is existing the PA [
30] for direct heat recovery and the extension of the ISSP. The workflow is a variant based approach. A solution variant is composed of an indirect heat recovery overlap selected by the user in the ISSP, a choice of the HP integration pathway in the workflow, and a certain HP-placement. The engineer maintains control of decisions at all stages and can decide which solution variants to evaluate and influence. A crucial element of the analysis and optimisation involves the integration of the HP and associated HESN into the system; the overall problem of HP integration in non-continuous processes may cause changes in the HESN topology, as heat exchanger matches between streams are dependent on many factors including HP placement. One key assumption made in this study is that the HP operates continuously and at fixed evaporator and condenser temperatures.
Illustrations using the results of the analysis of the Demonstration Case (introduced in
Section 3.1) are used to demonstrate the methodology. This is intended to illustrate the difference between the two pathways in the design of the HPTES system. A detailed explanation of the results can be found in
Section 4.1.
2.2. Data Extraction and Direct Heat Recovery (Steps 1 and 2)
For conducting a PA, the heating and cooling demands of the process (known as process requirements) have to be identified. Extracting these data from the physical plant in order to define the heating and cooling requirements of the process is the first step in any PA. The result of data extraction is a listing of the process requirements, including their scheduling; this is called the stream table. To achieve this goal, assumptions and simplifications must be made by the user in order to compile the vast extent of process information into a representative set of process requirements. When analysing the process, an engineer will typically have to first identify the types of processes present, the range of products (different operating cases), and the different production lines (conditions and schedules). Further information on data extraction is available in Klemeš and Varbanov [
31] and in Brunner and Krummenacher [
32].
After the process stream table is defined, the energy targets for direct HR within the individual time slices can be identified using Composite Curves. This allows for quick identification of the potential scope for energy saving at an early stage. With the energy targets defined, the actual design of the heat exchanger network (HEN) can be carried out for direct HR. Direct HR is only realized as an HEN for streams with inherently concurrent schedules, as schedule variations can prevent these measures from operating. The shares of the streams that are heated or cooled with this newly designed direct HR measures are then subtracted from the stream table, and only their remainders are used for further analysis.
2.3. Indirect Heat Recovery (Steps 3 and 4)
The remaining heating and cooling demands for the IHR are then analysed using the ISSP. The streams within the ISSP are already shifted to ensure practicality and improve the distribution of the investment cost according to their attractiveness for IHR. The streams are rearranged by shifting the supply and target temperatures based on the calculated stream-specific
contribution shown in Equation (
1) [
26]
where
is the overall heat transfer coefficient between the IL fluid and the process stream and
is the duration of the stream in the TSM. The variable
is a proportionality constant that is determined beforehand based on a user-specified minimum overall temperature difference,
. The
y-exponent influences the magnitude of temperature shifting. Once an individual stream’s
contribution is determined, it is either subtracted from the stream supply or added to the target temperature. The ISSP can then be constructed in a composite manner using the new shifted stream temperatures. The ISSP identifies the maximum potential of possible IHR and shows the amount of residual heat loads above and below the Pinch present, which may be used for HP integration after the extent of IHR is determined.
Figure 3 shows ISSPs with three different extents of overlap: 0 kWh (i.e., no IHR), IHR of 80 kWh, and IHR of 140 kWh (all with
). The user has to select the extent of overlap as the initial solution for HP integration in Step 4.
In Step 4, possible IHR solutions must be chosen for further evaluation regarding their HP integration potential. These selected IHR solutions are used as the benchmark for evaluation of the final variant in Step 7. This enables the comparison of the economic potential of an HP integrated final system against both the initial situation and the IHR solution alone. After the selection of the initial solution, there are two pathways for integration of HP in the workflow: (i) integration of the HP into its own HESN in addition to the IHR HESN (denominated as a split-system design) and (ii) the integration of the HP into the same HESN used for IHR (denominated as a combined system design). The first pathway leads to the execution of Steps 5a and 5b, while the latter leads to the execution of Step 6. Solution variants for the HP integration must be selected such that the initial IHR solution allows for a low complexity, i.e., low amount of equipment to be installed, as well as less easily quantifiable aspects such as expected unknown schedule variations, etc. This selection is further detailed in Steps 5 and 6.
2.4. Indirect Heat Recovery Solution with Separate Heat Pump System (Step 5)
Using the selected initial solution, Step 5 designs the IHR solution with a separate HPTES system.
Figure 4a shows the placed storage for the selected degree of IHR. The residual heating and cooling demands (the share of streams not included in the IHR) are then extracted to construct a new ISSP where no more IHR overlap is applied (
Figure 4b). The residual heating and cooling demands are to be covered by the HP or utility entirely. In order to dimension the HP, the residual ISSP is converted to the inverted residual ISSP, as shown in
Figure 4c. In
Figure 4c, the source profile (hot composite curve) is inverted in its enthalpy coordinates. This allows the heating and cooling demands to be shown in a similar way as in the GCC, and thus enables users to place the HP as they would with a GCC. The inverted residual ISSP is distinguished from the GCC in that a GCC shows the net heat deficit and surplus after HR, while the inverted residual ISSP shows the gross heat deficit or surplus, i.e., with no further HR implementation.
The HP is placed in Step 5b. The HP is modelled as a Carnot cycle with a constant second law efficiency according to Equation (
2), where
is the second law efficiency of the Carnot cycle,
and
are the ISSP-shifted condensation and evaporation temperature, and
and
are the condensation and evaporation temperature shift for the ISSP. The shift temperatures must be set to typical values of the difference between the medium outlet and the condensation and evaporation temperature, respectively, with
and
being the real condensation and evaporation temperatures, respectively.
Once the HP is placed (temperatures and duty determined) using the inverted residual ISSP, the sizing of the HESN can be carried out using the ISSP and the underlying TSM, enabling the later variant evaluation in Step 7.
2.5. Combined Indirect Heat Recovery and Heat Pump System (Step 6)
As an alternative to the aforementioned pathway in Step 5, it is possible to find solutions where the HP and IHR can be combined within the same HESN (Step 6). In a combined system, IHR is desired and the net heat deficit or surplus after IHR needs to be known for HP placement. For continuous processes, the GCC derived by Townsend and Linnhoff [
33] shows the net heat deficit and surplus of a process. Applying this derivation to the ISSP would, however, lead to very conservative HP placement. The ISSP poses additional challenges for the derivation of a suitable GCC. First, the streams within the ISSP are already shifted. As previously mentioned, it is often not desirable to achieve the maximum IHR overlap for an IHR solution, as this requires a large number of AZs in the ISSP. Furthermore, when there is a small overlap in the ISSP, the temperature difference at the Pinch is large and the temperature shifting of the ISSP would consequently be large as well if the GCC of the ISSP was calculated as it is for continuous processes, ultimately leading to an artificially increased HP temperature and poor HP efficiency.
Because of the aforementioned challenges, we propose the calculation of an adapted GCC of the ISSP. While the CCs are shifted when calculating the GCC for continuous processes, the adapted GCC for the ISSP is calculated without temperature shifting of the ISSP. This is possible because the ISSP is already shifted during its generation.
Figure 5 shows the difference in the potential real HP condensation temperature reduction and evaporation temperature increase between the calculation of the GCC with (red lines) and without (black lines) shifting of the ISSP.
The adapted GCC shows the desired net heat surplus and deficit of the process. This ensures that the HP is not operated at unnecessary high temperature increases while ensuring thermodynamical feasibility thanks to the individual shifting of the streams in the ISSP.
Without the temperature shifting of the ISSP in the adapted GCC calculation, however, it is necessary to impose limits to allow the HP to operate across the Pinch. The evaporator must extract heat from the subsystem below the Pinch and the condenser must add heat to the subsystem above the Pinch. To achieve this, temperature limits on the shifted evaporation and condensation temperatures are required, as illustrated in
Figure 6a. These limits are the temperatures of the source and the sink profile at the Pinch. The temperature limits in the adapted GCC are shown as the shaded area between the minimum condensation and maximum evaporation temperature (
Figure 6b). The evaporator (
) has to be placed below this area, and the condenser (
) above this area.
The integration of the HP often leads to the requirement of additional AZs. Every additional AZ should be understood as an increase in the complexity of the system, as additional volume storage units (VSUs, ref. [
26]) are required. A VSU typically represents a temperature layer in the storage system. This work only considers stratified storage with two layers. As the integration of an HP changes the topology of the system, different placements can lead to different numbers of AZs. To support the placement of the HP, an enumeration of the feasible HP placement options is performed. This enumeration evaluates the resulting number of AZs if an HP is placed in one of the feasible regions in the adapted GCC (
Figure 6b). The AZ algorithm [
29] is applied in a brute force approach. This brute force enumeration evaluates HP placement options starting from the condenser placement. The corresponding feasible evaporation temperatures are evaluated for each condenser placement. The HP characteristics are calculated according to Equation (
2). The result of this procedure is shown in
Figure 7a,b for the 80 kWh IHR overlap and 140 kWh IHR overlap variants, respectively. The adapted GCC includes the restricted area, which, as shown in
Figure 7b, is small due to the small remaining temperature difference between the ISSP at 140 kWh IHR overlap.
The graph shows the condenser range and the minimum required number of AZs for the respective condenser placement. In the evaporator range (below the Pinch), it shows the resulting number of AZs for the corresponding condenser and evaporator placement. The proposed adapted GCC with AZ information shows whether the HP temperatures or duties have an impact on the required number of AZs, and thus on the complexity of the system. The number of AZs shown in the adapted GCC with AZ information must then be compared to the required number of AZs in the IHR initial solution. HP integrated systems should always have more than two AZs, otherwise the HP would be operating with the condenser and evaporator in the same intermediate storage loop.
2.6. Variant Evaluation (Steps 7 and 8)
After the integration of the HPTES system, Step 7 compares the different solution variants. Several factors are considered, including technical feasibility and controllability of the system, investment cost, and resulting energy cost, as well as economic requirements such as payback period. While technical feasibility requires engineering judgment, investment cost and energy cost estimates can be calculated by the ISSP [
26]. The ISSP with the AZ-algorithm provides the boundary conditions for VSU placement. Thereafter, the user has to to select the enthalpy coordinates of each VSU in the ISSP as well as the temperatures of the VSUs. Once these parameters are selected, the investment cost of the solution can be determined. The evaluation of the equipment cost is detailed in Olsen et al. [
26].
5. Discussion
HP integration in industry faces multiple challenges which have prevented widespread adoption of the technology. In particular, the non-continuous nature of many industrial processes poses additional challenges due to different process schedules or changing process requirements. Furthermore, to enhance adoption rates in industry engineers need practical tools that can be applied with an acceptable level of effort. This paper developed a workflow which provides a guideline for engineers to follow in a systematic way when integrating HPs and TES systems into non-continuous processes. The workflow allows the selection of either of two pathways for the integration of HP: (i) an HPTES system separate from the HESN, and (ii) a combined HPTES integrated with an HESN. For the former separate system, an inverted residual ISSP is derived where the source profile (hot composite curve) is inverted in its enthalpy coordinates. In the latter pathway, a novel adapted GCC based on the ISSP is developed to provide information on the impact of HP placement on system complexity. The adapted GCC shows the resulting number of AZs for a corresponding condenser and evaporator placement scheme. Following the developed W+workflow, shown in
Figure 2, the user is guided on how to apply pre-existing and newly-derived graphical tools to evaluate different solution variants. An engineer thus does not require detailed training in the derivation or programming of such tools, and can instead focus on how to best apply them.
The above methodology was applied to two case studies. In addition to the initial demonstration case, a typical Swiss industrial process in the food industry was analysed. By integrating HPTES into the case study system, the HU was eliminated and the CU reduced by approximately 67%. The economic performance results of the variants with HPTES systems were similar, with a reduction in the TAC of approximately 22%. While the number of units required provides an indication of the resulting system complexity, engineering judgment remains important in successfully choosing the right variant. The analysed case studies show that HP integration into non-continuous processes is economically interesting; the energy consumption of the processes can be reduced drastically, with a static payback of averagely 5 year. For the industrial case study based in Switzerland, the static payback is considered economical. As a rule of thumb, an economically viable payback period for energy infrastructure (HPs) can be up to 8 years [
35]. However, future work could include the development of implementation strategies to provide the user with information regarding which to energy infrastructure to implement first, e.g., HP, or TES, as a payback period of 8 years is considered high in other countries. Regarding further research, the manual method of evaluating the investment cost of the resulting systems may be subject of future research. The application of appropriate optimization methods to facilitate and enable larger-scale variant evaluation would be advisable. Furthermore, a trade-off between HP capacity and storage volume could be investigated, as the current assumption of continuous HP operation may lead to larger storage volume requirements than are optimal.