Exergy Flows in Product Life Cycles
Analyzing thermodynamic improvement potential of cardboard life cycles
Sarah Herms August 2011
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Exergy Flows in Product Life Cycles
Analyzing thermodynamic improvement potential of cardboard life cycles
Sarah Herms August 2011 MSc Thesis of Industrial Ecology
Delft University of Technology, Leiden University
Graduation committee: Dr. R. Heijungs, Leiden University Dr. ir. G. Korevaar, Delft University of Technology
External advisors: ir. W. van Gerwen, Tebodin Consultants & Engineers ir. R. Holland, Tebodin Consultants & Engineers L. de Goeij, Smurfit Kappa
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Preface
This research project is carried out as a Master thesis within the Master of Science program in Industrial Ecology (IE) at Delft University of Technology and Leiden University. IE combines knowledge in three areas: analyzing material flows, re-designing technological systems and implementing these in organizations. This research can be found at the interface of analyzing material flows by integrating concepts of the domain of technological re-design.
I want to thank my academic supervisor, Reinout Heijungs and Gijsbert Korevaar, for their constructive feedback and support throughout the research, especially in guiding me through the worlds of LCA and exergy. Further I am very thankful for the helpful and inspiring discussions with Wouter van Gerwen and Reinout Holland on seeing the ‘bigger picture’, value creation and translating technical potential into monetary terms. I also wish to thank Lout de Goeij and Henk Hoven from Smurfit Kappa for fully supporting me in collecting data throughout the company.
Another source of inspiration have been long and sometimes challenging discussions with the group of IE friends and classmates.
Last but not least special thanks go to Philipp, my parents as well as my brothers and sisters that have encouraged and supported me along the way.
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Executive Summary
The current industrial system must deal with its sustainability challenges in the production and consumption system. Various tools are available within Industrial Ecology and related disciplines to analyze these sustainability issues and generate solutions. However, so far no clear framework is established to analyze thermodynamic improvement potential in product life cycles and the existing approaches vary considerably among researchers. Consequently only few practical examples and data are structurally available on a life cycle scale.
This research aims at studying product life cycles from a thermodynamic perspective in order to analyze inefficiencies in production chains and propose improvement potential. For this purpose two analytical tools are combined, Exergy Analysis and Life Cycle Assessment (LCA), which allows studying thermodynamic irreversibility and improvement potential on a life cycle scale.
Integration possibilities of these two tools are studied which leads to using exergy consumption as impact category in the established LCA framework. Exergy balances are determined for all unit processes by assigning specific exergy contents to all mass and energy in- and outflows. The exergy contents comprise physical and chemical exergy components. Thereby ‘idealistic’ exergy factors are taken based on the maximum potential work of the specific stream, which is independent of the structural process conditions. This allows including not only the technical inefficiencies of the specific process, but also the structural inefficiencies of the process design. A theoretical improvement potential is obtained that can only be exploited if the process design is changed.
To compare different pathways in a comprehensive way, three indicators are proposed: exergy efficiency, renewable exergy fraction and cycling indicator. In combination with depicting mass, energy and exergy flows along the life cycle, the performance of the life cycle can be evaluated and insights for improvement can be extracted.
The methodology is applied to two cases of cardboard production, one German-based and one Dutch-based chain. It is shown that the power generation within the combined heat and power plant and the board making process are the most exergy consuming steps in the life cycle. The main cumulative exergy input is based on fossil fuels (~95%) and the prevailing exergy loss (~90%) can be traced back to internal irreversibilities. Up to 10% improvement can be achieved by reusing exergy that is currently lost through waste heat and effluents. The exergy consumption can further be reduced by increasing the material efficiency within the board making process: about 20% of cumulative exergy input is lost in ‘scrap’ fibers that are recycled and do not add value to the final product. However to tackle the main losses, structural innovations are needed. Thereby the use of alternative low exergy heat supply, preferably from renewable resources, should be considered. In a best case scenario the cumulative exergy consumption can be reduced by about 40% if solar thermal energy is used for steam generation.
Concluding, the Exergy LCA framework contributes to providing a quantitative structure for designing more sustainable industrial systems according to Industrial Ecology concepts. Applied to the cardboard case it offers insights into thermodynamic improvement potential throughout the life cycle and presents thus a valuable addition to existing initiatives in this industrial branch.
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Table of Contents
Preface ...... 3 Executive Summary ...... 4 List of figures ...... 8 List of tables ...... 9
Chapter 1: Introduction and Research Outline ...... 10
1.1. Problem Background ...... 10 1.2. Problem Definition...... 11 1.2.1. Methodology: Exergy Analysis and LCA ...... 11 1.2.2. Case Study: Cardboard Production ...... 12 1.3. Research Questions and Goal Formulation ...... 13 1.3.1. Research Questions ...... 13 1.3.2. Goal Formulation ...... 14 1.4. Scope and System boundaries ...... 15 1.5. Involved Parties ...... 15 1.6. Structure of the Report ...... 16
Chapter 2: Review of Exergy Analysis and LCA ...... 17
2.1. Exergy Analysis ...... 17 2.1.1. Introducing the Concept Exergy ...... 17 2.1.2. Calculating Exergy Contents ...... 18 2.1.3. Types of Exergy Losses...... 19 2.1.4. Review of Application Fields of Exergy Analysis...... 20 2.2. Life Cycle Assessment ...... 22 2.2.1. LCA Framework ...... 22 2.2.2. LCA Applications ...... 24
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Chapter 3: Methodological Framework Combining Exergy Analysis and LCA ...... 25
3.1. Review of Exergy LCA Approaches ...... 25 3.1.1. Hybrid Frameworks in Literature ...... 25 3.1.2. Present Integration of Exergy within LCA Databases ...... 29 3.1.3. Exergy based Sustainability Indicators ...... 30 3.2. Evaluation of existing Approaches and Choice of Methodology ...... 34 3.2.1. Evaluation of hybrid Methodologies in Literature ...... 34 3.2.2. Exergy LCA Framework adopted ...... 36 3.2.3. Scope and System Boundaries ...... 38
Chapter 4: The Case of Cardboard Production ...... 41
4.1. Pulp & Paper Industry ...... 41 4.1.1. Market and Value Chain Perspective ...... 41 4.1.2. Technology Perspective ...... 43 4.1.3. Environmental Perspective ...... 45 4.2. Exergy LCA of Cardboard Production ...... 47 4.2.1. Goal and Scope Definition ...... 47 4.2.2. Inventory Analysis ...... 48 4.2.3. Impact Assessment and Interpretation ...... 51
Chapter 5: Conclusions & Discussion ...... 59
5.1. Answering the Research Questions ...... 59 5.1.1. Connecting Exergy Analysis and LCA ...... 59 5.1.2. Applying Exergy LCA to Cardboard Life Cycles ...... 63 5.2. Discussion ...... 66 5.3. Recommendations ...... 68
References ...... 69
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Appendices ...... 73
Appendix A: Methodology ...... 73 1) Terms and Symbols used ...... 73 2) Industrial Ecology ...... 74 3) Exergy Analysis within Industrial Ecology Tools ...... 75 4) Literature Review of hybrid Methodologies integrating Exergy Analysis and LCA ...... 77
Appendix B: Pulp & Paper Industry and Case Study ...... 80 1) Functional Use of Paper and Board Grades ...... 80 2) European Pulp and Paper Key Figures ...... 81 3) Sustainability in the Paper and Board Value Chain ...... 83 4) Inventory Template, Example: Board Making ...... 85 5) Assumptions of Calculations used for Case Study...... 86 6) Results of Case Study ...... 91 7) Confirming Mass, Energy and Exergy Balances ...... 93 8) Solar Thermal Energy Calculations ...... 94
Appendix C: Meetings ...... 95 1) Workshop ISPT, January 20th 2011 ...... 95 2) Workshop ISPT, February 15th 2011 ...... 95 3) KCPK Meeting, February 10th 2011 ...... 96 4) KCPK Technology Day, February 17th 2011 ...... 97
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List of figures
Figure 1 Problem Definition and Research Questions ...... 14 Figure 2 Components of exergy of matter ...... 18 Figure 3 Applications of Exergy Analysis (adapted from (Liao, Heijungs et al. 2011)) ...... 21 Figure 4 Research projects using Exergy Analysis on different system levels ...... 21 Figure 5 Life Cycle Assessment framework (based on (ISO 1997)) ...... 22 Figure 6 Calculation framework for “cradle to nature” Exergy Analysis (Valero 1998) ...... 26 Figure 7 Contreras Moya, Rosa Dominguez et al. methodology for Exergy LCA ...... 28 Figure 8 Input and output exergies of a system (Gong and Wall 1997) ...... 30 Figure 9 Relation between exergy and sustainability (Rosen, Dincer et al. 2008) ...... 33 Figure 10 Lessons learned from literature review ...... 36 Figure 11 Inventory Template ...... 37 Figure 12 European paper and board consumption and recycling (CEPI 2010) ...... 42 Figure 13 The paper and board production value chain (McKinney 1995; Suh 2009; CEPI 2010) ...... 43 Figure 14 Board production: waste paper collection and web screen of board machine ...... 44 Figure 15 Finishing: external paper layers, printing and recovery of cutting losses ...... 44 Figure 16 System boundary of cardboard case study ...... 47 Figure 17 Mass flows in the Dutch cardboard production chain ...... 52 Figure 18 Energy flows in the Dutch cardboard production chain ...... 53 Figure 19 Exergy flows in the Dutch cardboard production chain ...... 53 Figure 20 Cumulative exergy consumption, exergy sources and exergy losses in the Dutch chain ... 54 Figure 21 Cumulative exergy consumption, exergy sources and exergy losses in the German chain 55 Figure 22 Energy balances including input and output details in NL and DE ...... 56 Figure 23 Exergy balances including input and output details in NL and DE ...... 56 Figure 24 Comparison of material efficiency DE - NL ...... 57 Figure 25 Comparison of exergy flows in the current situation with a best case solar scenario ...... 65 Figure 26 Key figures 2010 of European pulp and paper market (CEPI 2011) ...... 81 Figure 27 Global trade flows of recovered paper in 2009 (CEPI 2011) ...... 82 Figure 28 Developments on the global pulp and paper market (Carlsson, D'Amours et al. 2006)..... 82 Figure 29 Sustainability issues in the paper and board value chain ...... 83 Figure 30 Sustainability initiatives within the paper and board value chain ...... 84 Figure 31 Inventory template of board making ...... 85 Figure 32 Exergy-entropy diagram for dry air (Szargut 1988) ...... 89 Figure 33 Physical exergy of humid air (Szargut 1988) ...... 90 Figure 34 Mass flows in the German cardboard production chain ...... 91 Figure 35 Energy flows in the German cardboard production chain ...... 92 Figure 36 Exergy flows in the German cardboard production chain ...... 92 Figure 37 Mass and energy balances in Dutch and German power plant, board production and board conversion ...... 93 Figure 38 Mass and exergy balances in Dutch and German power plant, board production and board conversion ...... 93
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List of tables
Table 1 Literature review of hybrid methodologies integrating Exergy Analysis and LCA ...... 29 Table 2 Sustainability issues and initiatives in the pulp and paper value chain ...... 46 Table 3 Exergy indicators applied to the German and Dutch cardboard chains ...... 58 Table 4 Comparison of exergy indicators in the current situation with a best case solar scenario ... 66 Table 5 Literature review on Exergy Analysis and LCA integration ...... 79 Table 6 Functional use of paper and board grades (EU 2010) ...... 80 Table 7 Area requirements for solar collectors per ton of cardboard ...... 94
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Chapter 1
Introduction and Research Outline
With the aim to improve our current industrial system towards a more sustainable one, a multitude of analytical tools have been developed to study its challenges and improvement potential.
This research focuses on combining two of these tools, Exergy Analysis and Life Cycle Assessment, to take advantage of both of their strengths. So far no established framework exists for this hybrid approach leading to little available studies and data. Therefore, in this report integration possibilities are studied and the chosen methodology is applied to a case study – the production of cardboard.
Cardboard is currently produced in a very energy and water intensive manner resulting in a suboptimal sustainable performance. By means of the new hybrid approach, thermodynamic improvement potential is detected along the value chain.
1.1. Problem Background
In the complex domain of sustainability, a multitude of analytical tools are being used individually or in a hybrid form to grasp a productive situation in its complexity.
Life Cycle Assessment (LCA) is a popular analytical tool that aims at compiling and evaluating the environmental impacts of a product from a life cycle perspective. Such a life cycle orientation intends to include direct and indirect supply chain impacts, thus integrating activities from resource extraction, production, distribution and consumption systems to the waste management phase. Introducing the “cradle to grave” idea to the analysis of a certain product pathway allows the identification and prioritization of major environmental issues as well as a complete comparison between different pathways that fulfill the same function (ISO 1997).
The second tool that is crucial to this research is Exergy Analysis. Exergy Analysis is used to study thermodynamic inefficiencies in applications or processes and is thus relevant in revealing improvement potential (Szargut 2005). Exergy indicates the “quality” of energy which is degraded along the production routes. In order to make a process or a system more efficient, this degradation or loss of exergy must be minimized.
Each tool reflects upon a problem from a specific perspective. Whereas LCA focuses on integrating details and environmental impacts of a production system within a life-cycle perspective, Exergy Analysis pays attention to inefficiencies within a process or a system from a thermodynamic perspective. Combining two different perspectives within one combined method has large potential to make use of the strengths while reducing the weaknesses of the individual tools. Thereby the
10 methodological approach for a specific research question can be adapted and improved (Suh 2004). Regarding the combination of LCA and exergy, thematic overlaps can be observed in various areas (Udo de Haes and Heijungs 2007):
1) The environmental impacts of streams studied within a LCA often relate to energy flows and the degradation of exergy throughout an industrial process. However they are not shown as a separate result of the inventory analysis or the impact assessment, but are an integrative part of categories such as depletion of resources and climate change. 2) LCAs can be performed on energy systems in which exergy plays an important role, e.g. by comparing the generation of electricity via different production pathways or by comparing fossil fuels with biofuels. 3) The energetic or exergetic performance within a life cycle of a product can be studied which is the least explored thematic overlap of the ones mentioned here and will be the main connection used in this research project. In the following the challenges of the hybrid approach of LCA and Exergy Analysis are introduced and research questions are deviated.
1.2. Problem Definition
1.2.1. Methodology: Exergy Analysis and LCA Combining the tools LCA and Exergy Analysis generates the advantage of giving a strategic overview of the thermodynamic life cycle performance of a product. Internal and external inefficiencies and improvement potential can be evaluated on a life cycle scale.
However, only few attempts have been made in combining the benefits of both tools and the existing approaches vary considerably among researchers. So far, neither a clear overview of the adopted methods is available, nor are their advantages and disadvantages elaborated upon. Consequently, none of the exploratory approaches can claim to be a validated and accepted methodology.
Given the rather pioneering nature of this hybrid methodology, established structures of the LCA domain have not been expanded considerably into the Exergy Analysis domain and vice versa. For example, traditional life cycle databases such as Ecoinvent do not include data on exergy contents or exergy efficiencies. Also the application range of Exergy Analysis is still focused mainly on the traditional process level. Focusing on only one “piece” of the system conceals the risk that the specific “piece” is optimized while the system as a whole is changed for the worse.
Having no structured exergy data available, e.g. in a database format similar or as integrative part of Ecoinvent, and having only a limited amount of research projects being carried out in the combined area of exergy and systems level approaches, leads to insufficient data availability. Starting new research projects in this hybrid domain requires thus high data gathering activities that are not being effectively shared among the research community yet. Furthermore, the first attempts of combining
11 the exergy and the system level domain need to be evaluated and eventually be confirmed through practical experience.
As a next step, the performance must be evaluated and interpreted from an exergetic life cycle perspective. To achieve this, indicators can be used which present a reasonable approach in communicating performance results to laymen in an objective way. Similar to other analytical tools, such indicators should be defined for this hybrid methodology. Examples of indicator developments within this hybrid domain can already be found in literature, e.g. by (Dewulf and Van Langenhove 2006), (Yang, Hu et al. 2006) and (Connelly and Koshland 2001). These indicator developments are discussed in 3.1.3.
For the above stated reasons researchers such as (Ukidwe and Bakshi 2005), (Dewulf and Van Langenhove 2006), (Gong 2005), (Finnveden and Östlund 1997), (Grubb and Bakshi 2011) call for more practical examples of applying Exergy Analysis on a systems level.
1.2.2. Case Study: Cardboard Production The industrial setting chosen as case study is the pulp and paper industry. Globally it is the fourth largest industrial consumer of energy, consuming 5,9 ExaJoules which represents 6% of the total industrial energy use (IEA 2006).
The high energy intensity puts the industry under pressure from an environmental and from an economic point of view. Although many initiatives and research projects have been aiming at reducing the dependency on fossil fuel input, the industry remains a major energy consumer (Nilsson 1997; Gong 2005).
Moreover, a focus on the paper or board mill can be observed throughout the initiatives and research projects dealing with energy issues in the pulp and paper industry. The Dutch think tank of the paper industry, the Kenniscentrum Papier en Karton, reports many projects aiming at optimizing the energy use of small scale processes and has only recently started to incorporate projects on a supply chain level. It claims that improvement opportunities exist on a broader scale (KCPK 2011).
Another reason for lacking projects that incorporate data of the entire value chain is little data availability. In this highly competitive sector, companies are only rarely willing to share information beyond company borders which increases the difficulty of gathering precise data on a value chain level, e.g. on transport distances and printing services.
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1.3. Research Questions and Goal Formulation
1.3.1. Research Questions Based on the challenges described above two main research questions can be defined that are subdivided in further sub questions.
The first research question dealing with the difficulty of integrating the concept of exergy with life cycle thinking is introduced in the following. To answer this rather broad question, sub questions are used to be able to structure the research approach better.
1. How can Exergy Analysis be integrated in a structured way with life cycle thinking? • Which approaches exist in literature to integrate exergy and life cycle assessments? What are their advantages and disadvantages? • How can databases be adapted to be able to integrate exergy balances of production processes? • Which exergy based indicators can be used to facilitate future chain analysis?
The second research question relates to the case study and the sustainability challenges within the paper industry. As specific case the value chain of cardboard production is being used. By means of the case, the methodological questions as posed above can be illustrated in a practical way and the process of data gathering and method validation can be enhanced.
On the other hand, a new perspective is added to the sustainable improvement potential of a value chain that is embedded in the challenging environment of the paper industry.
The second research question is thus phrased as:
2. What are the biggest energy and exergy consuming steps in the cardboard value chain? How can this knowledge be used to improve the life cycle of cardboard production in a sustainable way?
As an overview the problem definition and the respective research questions are summed up in the following figure.
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Figure 1 Problem Definition and Research Questions
1.3.2. Goal Formulation The goal of this research is to analyze thermodynamic improvement possibilities in industrial systems from a product life cycle perspective. Integration possibilities of Exergy Analysis and LCA are analyzed and evaluated for that purpose. By applying this hybrid methodology to the energy-intensive cardboard production, inefficiencies and improvement potential are to be detected with the aim to develop towards a more sustainable system.
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1.4. Scope and System boundaries
Defining the scope and system boundaries within an industrial ecology research implies to explicitly identify which productive system is to be studied from a spatial and temporal perspective and what elements (processes, flows, actors) are integrated within this productive system.
Detailed scope, spatial and temporal system boundaries of the adopted framework and the case study can be found in 3.2.3. and 4.2.1. respectively.
On a more general level, two limitations need to be discussed. Firstly, it must be considered that the thermodynamic point of view is only one dimension of a multitude of factors influencing the environmental performance of a production chain. Due to time constraints, it is chosen to purposely limit this research project to the thermodynamic dimension. It is clear that other factors, especially those independent of thermodynamic flows such as toxicity or acidification, are not taken into account. Although this might reduce the completeness of the conclusions, various researchers, e.g. (Bakshi and Fiksel 2003) and (Connelly and Koshland 2001), have shown that exergy can be an appropriate measure for sustainability, as will be discussed in greater detail in 3.1.3.. Secondly, it is taken as given that exergy is an appropriate concept to study improvement potential as demonstrated by (Gong and Wall 1997; Rosen, Dincer et al. 2008) or (Sciubba 2005) and that it adds value to a traditional LCA as has discussed by (Arons, Kooi et al. 2004; Grubb and Bakshi 2011). To be able to focus this research on the above stated goal and research questions, these assumptions are not proven at this point but instead it is chosen to reference previous research.
1.5. Involved Parties
The project is carried out with Delft University of Technology and Leiden University as a graduation thesis of the Master in Industrial Ecology. Within Leiden University, the supervising partner is Reinout Heijungs from the Institute of Environmental Sciences and within Delft University of Technology, the supervising partner is Gijsbert Korevaar from the Faculty of Applied Sciences.
Thanks to this combination, expertise in engineering and thermodynamics is joined with knowledge in environmental analysis such as LCAs.
On the practical side, support is given by Tebodin, an engineering consultancy with expertise in the pulp and paper industry. The supervising partner is Wouter van Gerwen, Manager Industrial Projects, and expert in enlarging the engineering perspective on broader system definitions. Thanks to Tebodin’s professional network, input from other institutions such as the Institute for Sustainable Process Technology and the Dutch think tank of the paper industry, the Kenniscentrum Papier en Karton (KCPK) could be integrated.
The case study on cardboard production in Germany and the Netherlands is carried out in cooperation with Smurfit Kappa Specialties Division.
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1.6. Structure of the Report
The report is structured in five chapters. The first one presents the research purpose and its design including problem definition, research questions and goal formulation. In the second chapter the theoretical fields of Exergy Analysis and LCA are reviewed independently and calculation methods and application areas are presented. The third chapter reviews and evaluates existing approaches of incorporating Exergy Analysis and LCA, the integration of exergy in LCA databases and the current application of exergy indicators within industrial ecology tools. Based on this literature review, a framework is built which is then applied to the cardboard case study in the following chapter. Chapter four introduces the paper and pulp industry from a multi-dimensional perspective: the market and its value chains, the production process and its technologies and the sustainability issues and current initiatives are presented. Further, the case study is elaborated upon and results of the applied framework are shown.
The final chapter five is dedicated to discussing the methodology and its practical applicability to the case study. Conclusions are drawn to answer the two main research questions and to provide recommendations for future research.
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Chapter 2
Review of Exergy Analysis and LCA
2.1. Exergy Analysis
2.1.1. Introducing the Concept Exergy Exergy is a thermodynamic concept routed in the first two laws of thermodynamics. While the first law describes the conservation of energy principle, the second law deals with the non-conversation of entropy principles indicating the direction of reactions and their irreversibility. From this, the concept of “usefulness” or quality of energy and material can be derived, i.e. the concept of exergy. In literature different symbols are used for exergy, e.g. B (Szargut 1989), E (Moran and Shapiro 2004), Ex (Woudstra, Woudstra et al. 2010; Liao, Heijungs et al. 2011). In this report the symbol Ex is used to be consistent with the nomenclature within the university faculties although (Tsatsaronis 2007) argues for using a one-letter symbol to prevent confusion with subscripts. All terms and symbols used throughout the report are listed in appendix A.1. In comparison to energy (nominated here as En ), exergy is only conserved in reversible processes but is destroyed in most real processes as they are irreversible (Gong and Wall 1997). Putting this in terms of input-output balances, the energy balance for a whole process must always be zero while the difference of the exergy balance equals the irreversibility of the process (Valero 1998): (2.1) − = 0 (2.2) − > 0 The difference between the input and output exergy is often referred to as irreversibility of a process which is related to its entropy generation. It can be determined by multiplying the entropy increase,
ΔS , with the temperature, T0. This equation is termed the law of exergy loss or the law of Gouy- Stodola (Szargut 1989): (2.3) − = ∆ = ∆ Exergy is thus defined as the “maximum theoretical useful work obtainable as the system is brought into complete thermodynamic equilibrium with the thermodynamic environment while the system interacts with this environment only” (Connelly and Koshland 2001; Kåberger and Månsson 2001). This means it is the available work obtainable from all flows that are different from the reference flows that are found in their environment. Possible in- and outflows to a system include matter, heat (Q) and work (W). (2.4) = + + A flow of matter can differ from its environment and supply work due to its chemical structure, its temperature or pressure, its velocity or height potential. Thus four components of Ex matter can be distinguished: physical exergy consisting of mechanical and thermal exergy, chemical exergy resulting 17 from the system’s chemical composition, kinetic exergy resulting from the system velocity relative to the environment and potential exergy resulting from system height relative to the environment (Tsatsaronis 2007).
Figure 2 Components of exergy of matter
The exergy of a stream of matter, Ex matter , is the sum of the exergy of its components. (2.5) = + + + Respectively the exergy losses of the studied system, e.g. a factory or a value chain, are equal to the sum of exergy losses of its component parts (Szargut 1988).
2.1.2. Calculating Exergy Contents
Exergy of Work Since exergy is defined as the maximum work potential, a work interaction in energy terms is equivalent in exergy terms. This means that to calculate the exergy content of e.g. electricity, a factor of 1 is used based on its energy content (J.J.C. van Lier and Woudstra 2005). (2.6) =
Exergy of Heat The maximum work potential of a heat stream, Q, is limited by the Carnot factor. Its exergy content,
Ex Q, can therefore be calculated by the Carnot factor multiplied with the energy content of the heat stream (Cornelissen 1997).