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    ENERGY, ENERGY SYSTEM ANALYSIS, AND OPTIMIZATION Application of Thermoeconomics to the Design and

    Synthesis of Energy Plants - G. Tsatsaronis

    APPLICATION OF THERMOECONOMICS TO THE DESIGN AND

    SYNTHESIS OF ENERGY PLANTS

    G. Tsatsaronis

    Technische Universitt Berlin, Germany

    Keywords: Exergy, Thermoeconomics, Exergoeconomics, Costs of Thermodynamic

    Inefficiencies, Design Improvement.

    Contents

    1. Introduction

    2. Principles of exergoeconomics applied to design optimization

    3. Cost balances and auxiliary equations

    4. Optimization with exergoeconomics

    5. Conclusion

    Glossary

    Bibliography

    Biographical Sketch

    To cite this chapter

    Summary

    Thermoeconomics, as an exergy-aided cost-reduction method, provides important

    information for the design of cost-effective energy-conversion plants. The exergy

    costing principle is used to assign monetary values to all material and energy streamswithin a plant as well as to the exergy destruction within each plant component. The

    design evaluation and optimization is based on the trade-offs between exergy

    destruction (exergetic efficiency) and investment cost for the most important plant

    components. The design of an energy-conversion plant may be improved using either an

    exergoeconomic iterative optimization technique or approaches of mathematical

    optimization. Thermoeconomics provides the designer with information about the cost

    formation process, the interactions among thermodynamics and economics and the

    interactions among plant components. This information is very valuable for improving

    the design of energy-conversion plants.

    1. Introduction

    Engineers involved in the design of energy-conversion plants want, after they have

    developed a first workable design, and in order to improve this design, to know the

    answers to the following questions:

    1. Where do thermodynamic inefficiencies in the system occur, how high are they,and what causes them?

    2. What measures or alternative designs would improve the efficiency of theoverall plant?

    3. How high is the required total investment and the purchased equipment costs ofthe most important plant components?

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    ENERGY, ENERGY SYSTEM ANALYSIS, AND OPTIMIZATION Application of Thermoeconomics to the Design and

    Synthesis of Energy Plants - G. Tsatsaronis

    4. How much do the thermodynamic inefficiencies cost the plant operator?5. What measures would improve the cost effectiveness of the overall plant?.

    The answer to the first two questions is provided with the aid of an exergy analysis (see

    Exergy and Thermodynamic Analysis). An economic analysis answers the thirdquestion. The last two questions can be answered with the aid of a thermoeconomic

    analysis. This analysis is called here exergoeconomics, which is a more precise

    characterization of every exergy-aided cost-reduction approach.

    Exergoeconomics applied to design optimization represents a unique combination of

    exergy analysis and cost analysis, to provide the designer of an energy-conversion plant

    with information not available through conventional energy, exergy, or cost analyses,

    but crucial to the design of a cost-effective plant. Design optimization of an energy-

    conversion system means the selection of the structure and the design parameters (the

    decision variables) of the system to minimize the total cost of the system products (over

    the entire lifetime of the system) under boundary conditions associated with availablematerials, financial resources, environmental protection and government regulation as

    well as with the safety, reliability, operability, maintainability, and availability of the

    system. In a truly optimized system, the magnitude of every significant thermodynamic

    inefficiency (exergy destruction and exergy loss) is justified by considerations related to

    investment and operating costs or is imposed by at least one of the above boundary

    conditions.

    A thermodynamic optimization, which aims at minimizing the thermodynamic

    inefficiencies, represents a subcase of the general case of design optimization. An

    appropriate formulation of the optimization problem is always one of the most

    important and sometimes the most difficult task in an optimization study.

    Various names have already been given or could be given to various exergoeconomic

    approaches proposed in the past. These names include the following:

    Exergy Economics Approach (EEA) First Exergoeconomic Approach (FEA) Thermoeconomic Functional Analysis (TFA) Exergetic Cost Theory (ECT) Engineering Functional Analysis (EFA) Last-In-First-Out Approach (LIFOA) Structural Analysis Approach (SAA) SPECO Method (SPECOM)

    The main differences among the approaches refer to the definition of exergetic

    efficiencies, the development of auxiliary costing equations and the productive

    structure.

    2. Principles of Exergoeconomics Applied to Design Optimization

    Exergoeconomics applied to the design and synthesis of energy-conversion plants is

    based on two important principles that represent the fundamental connections between

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    thermodynamics and economics. The first principle is common to all exergoeconomic

    approaches and applications, whereas the second principle refers only to applications in

    which new investment expenditures are needed. These principles are briefly discussed

    in the following.

    2.1. Exergy Costing

    This principle states that exergy is the only rational basis for assigning monetary values

    to the interactions an energy system experiences with its surroundings and to the

    thermodynamic inefficiencies within the system. Mass, energy or entropy should not be

    used for assigning the above mentioned monetary values because their exclusive use

    results in misleading conclusions.

    According to the exergy-costing principle, the cost stream (jC

    ) associated with an

    exergy stream ( jE

    ) is given by

    j jC c E=

    j(1)

    wherej

    c represents the average cost associated with providing each exergy unit of the

    stream jE in the plant being considered. Equation (1) is applied to the exergy

    associated with streams of matter entering or exiting a system as well as to the exergy

    transfers associated with the transfer of work and heat. For the cost ( ) associated with

    the exergy ( ) contained within the k-th component of a system we write

    kC

    kE

    k kC c E= k (2)

    Here is the average cost per unit of exergy supplied to the k-th component.kc

    Exergy costing does not necessarily imply that costs associated with streams of matter

    are related only to the exergy rate of each respective stream. Nonexergy related costs

    can also affect the total cost rate associated with material streams. Examples include the

    cost of (a) treated water leaving a water treatment unit, (b) oxygen and nitrogen

    produced in an air separation unit, (c) limestone supplied to a fluidized-bed reactor, (d)

    iron used in a metallurgical process, and (e) an inorganic chemical fed into chemicalreactors. Therefore, when significant nonexergy-related costs occur in a system, the

    total cost rate associated with the material streamj (denoted by ) is given byTOT

    jC

    TOT NE

    j j jC C C= + (3)

    Herej

    C is the cost rate directly related to the exergy of streamj (see Eq. (1)) andNE

    jC

    is the cost rate due to nonexergetic effects. The term NEj

    C represents a convenient way

    for charging nonexergy-related costs from one component to other system components

    that should bear such costs.

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    2.2. Exergy Destruction Reduces Investment Cost

    The exergy destruction represents in thermodynamics a major inefficiency and a

    quantity to be minimized when the overall plant efficiency should be maximized. In the

    design of a new energy-conversion plant, however, exergy destruction within acomponent represents not only a thermodynamic inefficiency but also an opportunity to

    reduce the investment cost associated with the component being considered and, thus,

    with the overall plant.

    Figure 1 refers to a component (subscript k) of the overall plant and shows that the cost

    rate CIk

    Z associated with capital investment (superscript CI) decreases with increasing

    exergy destruction rate ( ) within the same component. Instead of a single curve, a

    shaded area is presented to denote that the investment cost could vary within a given

    range for each given value of the exergy destruction. The effect of component size is

    taken into consideration in Figure 1 by relating both

    D,kE

    CIkZ and ( ) to the exergy rate

    of the product generated in this component ( ).

    D,kE

    P,kE

    Figure 1: Expected relationship between investment cost and exergy destruction (or

    exergetic efficiency) for the k-th component of an energy conversion system.

    The vast majority of components in energy-conversion plants exhibits qualitatively the

    behavior between CIk

    Z and shown in Figure 1. Should the investment cost increase

    or remain constant with increasing exergy destruction, then the component being

    D,kE

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    ENERGY, ENERGY SYSTEM ANALYSIS, AND OPTIMIZATION Application of Thermoeconomics to the Design and

    Synthesis of Energy Plants - G. Tsatsaronis

    considered can be excluded from optimization considerations because in these cases we

    would always select for this component the design point that has the lowest investment

    cost and, at the same time, the lowest thermodynamic inefficiencies (i.e. the highest

    exergetic efficiency).

    The curves and the shaded area shown in Figure 1 are usually not known. However,

    even then we can estimate the two asymptotic lines that determine the specific

    unavoidable exergy destruction

    UN

    D,

    P,

    k

    k

    E

    E

    and the specific unavoidable investment cost

    UNCI

    P k

    Z

    E

    .

    All design improvement efforts should focus only on the avoidable parts of exergy

    destruction and investment costs. These parts are calculated by subtracting theunavoidable value from the total value of the respective variable.

    3. Cost Balances and Auxiliary Equations

    In exergoeconomics a cost balance is formulated separately for each plant component.

    Such a balance shows that the sum of cost rates associated with all exiting exergy

    streams equals the sum of cost rates of all entering exergy streams plus the appropriate

    charges (cost rate) due to capital investment as well as to operating and maintenance

    expenses. The sum of the last two terms is denoted byk

    Z and is calculated with the aid

    of a detailed economic analysis. Accordingly, for the k-th component receiving a heattransfer and generating power, for example, we write

    ( ) ( )w, q, q,e e k k k k i i k ke i

    c E c W c E c E Z + = + + k

    (4)

    In general, if there are exergy streams exiting the component being considered, we

    need to formulate auxiliary equations. Depending on the exergoeconomic

    method used, the auxiliary equations are formulated explicitly or implicitly (for

    example with the aid of the so-called productive structure). For the explicit formulation

    of the auxiliary equations, the so-called F and P principles (principles referring to thefuel and product, respectively that are used in the definition of exergetic efficiency)

    provide general guidance: The F principle refers to the removal of exergy from an

    exergy stream within the component being considered and states that the average

    specific cost (cost per exergy unit) associated with this removal of exergy (which is part

    of the exergy of fuel) must be equal to the average specific cost at which the removed

    exergy has been supplied to the same stream in upstream components. The P principle

    refers to the supply of exergy to a stream or to the generation of an exergy stream within

    the component being considered and states that each exergy unit is supplied to any

    stream associated with the exergetic product of the component at the same average cost

    ( ). Examples of auxiliary equations are found in every publication dealing with

    eN

    1eN

    Pc

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    ENERGY, ENERGY SYSTEM ANALYSIS, AND OPTIMIZATION Application of Thermoeconomics to the Design and

    Synthesis of Energy Plants - G. Tsatsaronis

    exergoeconomics. It should be noted that the formulation of the auxiliary equations

    should be meaningful from both the exergetic and the economic viewpoints.

    With the aid of the cost balances and the auxiliary equations, the cost rates and the costs

    per unit of exergy are calculated for each exergy stream (i.e. for each material andenergy stream) in the overall plant. In this way we associate with each stream not only

    mass, energy, entropy and exergy but also cost. This is the first step in understanding

    the cost formation process and the real cost sources and, thus, in making a well

    informed decision for improving the cost effectiveness of the design of a new system.

    In the so-called productive structure, the exergetic fuel and product of each component

    are illustrated graphically. A productive structure, which is not necessarily needed for

    every exergoeconomic method, may assist in visualizing and better understanding the

    definitions of fuel and product as well as the auxiliary costing equations obtained from

    the F and P principles. An appropriate development of the productive structure may

    graphically illustrate the exergy balance written in terms of fuel and product as well asin terms of input and output exergy streams.

    4. Optimization with Exergoeconomics

    Principles of exergoeconomics may be effectively used to optimize or improve the cost

    effectiveness of energy-conversion plants. The approaches used in that respect may be

    divided into two groups. In the first one, the designer uses exergoeconomic variables to

    improve his/her understanding of the interactions (a) between thermodynamics and

    economics, and (b) among the most important plant components and to apply these

    findings in an interactive procedure in which the costs of the plant products are reduced.

    To the second group belong all approaches that use mathematical optimization

    techniques to minimize the product costs or to maximize the profit. These two options

    are briefly discussed in the following.

    4.1. Exergoeconomic Variables and Iterative Improvement

    The exergoeconomic evaluation is conducted at the component level with the aid of a

    series of exergoeconomic variables. These include but are not limited to the variables

    presented in the following Eqs. (5) to (10), (12) and (13).

    The rate of exergy destruction is calculated with the aid of an exergy balance, which,after introduction of fuel and product, may be written as

    D, F, P,k kE E E=

    k (5)

    The exergetic efficiency is the ratio between the exergy of fuel and the exergy of

    product:

    P, D,

    F, F,

    1k

    k

    k k

    kE E

    E E = =

    (6)

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    The exergy destruction ratio relates the exergy destruction in the k-th component not to

    the fuel for the same component, as in the exergetic efficiency, but to the fuel of the

    overall plant:

    D,

    D,

    F,tot

    k

    k

    Ey

    E=

    (7)

    The cost rates and associated with the fuel and product, respectively, are

    formed in the same way as the exergy rates and associated with fuel and

    product. Then the average costs per unit of fuel exergy ( ) and product exergy ( )

    are calculated from

    F,kC

    P,kC

    F,kE

    P,kE

    F,kc

    P,kc

    F,

    F,

    F,

    k

    k

    k

    Cc E=

    (8)

    P,

    P,

    P,

    k

    k

    k

    Cc

    E=

    (9)

    The cost rate associated with exergy destruction is estimated as follows:

    D, F, D,k kC c E=

    k

    k

    (10)

    The cost balance can now be written

    P, P, F, F,k k k k c E c E Z = + (11)

    Here we should note that the cost of exergy destruction is hidden in the cost balance and

    does not appear explicitly. The cost increase between and is caused by the cost

    of exergy destruction and the investment related cost (

    F,kc

    P,kc

    kZ ) as the relative cost difference

    ( )shows:kr

    P, F, F, D,

    F, F, P, F, P,

    1k k k k k k kk

    k k k k k

    c c c E Z Zr

    c c E c

    + = = = +

    kE

    (12)

    Finally the exergoeconomic factork

    f compares the two cost sources contributing to the

    cost increase between and and shows the contribution of the investment-related

    cost to the sum of cost of exergy destruction and investment-related cost:

    F,kc

    P,kc

    F, D,

    k

    k

    k k k

    Zf

    c E Z=

    +

    (13)

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    The sum shown in the denominator of the above equation is a measure of the

    importance of the k-th component from the cost viewpoint within the overall system

    being considered.

    The iterative exergoeconomic optimization technique consists of the following steps:

    1. A workable design (i.e. a design that fulfils mass and energy balances) isdeveloped in the first step. Several guidelines presented in the literature may

    assist in developing a workable design that is relatively close to the optimal one.

    2. A detailed exergoeconomic analysis and an evaluation are conducted for thedesign developed in the previous step. The results from the exergoeconomic

    analysis are used to determine design changes (changes in the structure and in

    the process variables) that are expected to improve the design currently being

    considered. In this step we consider only changes that affect both the exergetic

    efficiency and the investment cost: For the most important plant components weask the question whether it is cost effective to reduce the capital investment at

    the expense of component efficiency or whether the component efficiency (and

    the investment cost) should be increased. Any sub-processes that contribute to

    the exergy destruction or exergy loss from the overall plant should be eliminated

    if they do not contribute to the reduction of either capital investment or fuel

    costs for other components.

    3. Based on the results from the previous step, a new design is developed and thevalue of the objective function is calculated for the new design. If in comparison

    with the previous design this value has been improved, we may decide to

    proceed with another iteration that involves step 2. If, however, the value of the

    objective function is not better in the new design than in the previous one, we

    may either revise some design changes and repeat step 2 or proceed with step 4.

    4. In this final step we optimize the decision variables that affect the cost but notthe exergetic efficiency. After obtaining the cost optimal design, it is always

    advisable to conduct a parametric study to investigate the effect on the

    optimization results of some parameters used and/or assumptions made in the

    optimization procedure.

    When applying this methodology, the designer should recognize that the values of allexergoeconomic variables depend on the component type: heat exchanger, compressor,

    turbine, pump, chemical reactor, etc. Accordingly, whether a particular value is judged

    to be high or low can be determined only with reference to a particular class of

    components. In that respect, combining knowledge-based and fuzzy approaches with an

    iterative exergoeconomic optimization technique may be useful for the plant designer.

    4.2. Approaches of Mathematical Optimization

    The objective of these approaches is, as in the iterative exergoeconomic approaches, the

    minimization of the total cost of owning and operating the plant over its entire life time.

    However, the approaches of mathematical optimization use, in addition to the iterative

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    approaches, cost functions that express the variation of investment cost as a function of

    the decision variables used in the optimization problem. This enables the designer to

    formulate a complete cost minimization problem, in which the constraints include the

    plant performance equations and the cost functions for each plant component. One of

    the methods used for the solution of the optimization problem is the method ofLagrange multipliers. This method can lead to the special cases of decomposition and

    thermoeconomic isolation, which may also be applied in conjunction with the

    thermoeconomic functional analysis (TFA) and the engineering functional analysis

    (EFA) approaches that belong to the group of mathematical optimization. Each

    Lagrange multiplier can be considered as the marginal cost associated with the

    corresponding function.

    The analysis and optimization of an energy-conversion plant consists of the following

    steps.

    1. The functions of the overall system and of each component are identified and aso-called functional diagram (corresponding to the productive structure) is

    developed. Where required, the negentropy streams are determined.

    2. The optimization problem including objective function, decision variables, costfunctions and constraint functions is formulated.

    3. The system of optimization equations is solved and a parametric study isconducted.

    For the mathematical optimization to demonstrate its merits, there is a need to express

    the various costs (capital, natural resources, personnel, etc.) as functions of design and

    operation characteristics of the components or of the overall system. These cost

    functions are not always available, usually not accurate, and seldom in the required

    form (a function of the decision variables). Therefore, the approaches of mathematical

    optimization cannot yet be applied to very complex energy-conversion plants. For the

    iterative exergoeconomic approach, however, there are no such limitations related to the

    complexity of the overall plant. These notwithstanding, a systematic effort to develop

    appropriate functions is justified by the very interesting results obtained when

    mathematical optimization methods are successfully applied.

    5. Conclusion

    The design and synthesis of energy-conversion plants requires among others appropriate

    trade-offs between fuel cost and investment expenditures or between cost of

    thermodynamic inefficiencies and investment costs. An exergy analysis complements

    and enhances an energy analysis and identifies the location, magnitude, and causes of

    thermodynamic inefficiencies in each plant component. A detailed cost analysis

    provides the investment cost and the operating and maintenance expenses associated

    with each plant component. The appropriate trade-offs between fuel cost and investment

    expenditures can be realized with the aid of an exergoeconomic approach that calculates

    the costs of thermodynamic inefficiencies and compares them with the required

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    investment cost at the plant component level. Thus, exergoeconomics identifies and

    properly evaluates the real cost sources.

    The exergoeconomic approaches apply the principle of exergy costing to enable the

    objective costing of energy carriers and to provide effective assistance in the decision-making process and the optimization or improvement of energy-intensive plants. In

    addition, exergoeconomics demonstrates that the exergy destruction plays a positive

    role in the design of energy-conversion plants by helping engineers to keep the

    investment costs associated with the plant components at an acceptable level.

    From the thermodynamic viewpoint, the value of each unit of exergy destruction is the

    same. Exergoeconomics demonstrates that the average cost per unit of exergy

    destruction is different for each component and depends on the relative position of the

    component within the plant: Components closer to the supply of exergy to the overall

    plant have, in general, a lower cost per unit of exergy destruction than components

    closer to the point of supply of the product streams from the overall plant.

    By revealing the true connections between thermodynamics and economics in the

    design of an energy-conversion plant, exergoeconomics enhances the knowledge,

    experience, intuition and creativity of design engineers and provides students with the

    appropriate tools to understand the cost interactions involved in design optimization.

    Glossary

    Exergy: Maximum theoretical useful work (shaft work or electric work)

    obtainable from an energy system as this is brought into

    thermodynamic equilibrium with the environment while the

    system interacts only with this environment.

    Exergy destruction: Exergy destroyed due to irreversibilities within a system.

    Exergy loss: Exergy transfer to the system surroundings. This exergy transfer

    is not further used in the installation being considered or in any

    other installation.

    Exergy of product: The desired result (expressed in exergy terms) achieved by the

    system being considered.

    Exergy of fuel: The exergetic resources expended to generate the exergy of

    product.

    Exergeticefficiency: The ratio between exergy of product and exergy of fuel.

    Exergy destruction

    ratio:

    The ratio between the exergy destruction in a component and the

    fuel exergy supplied to the overall system.

    Exergoeconomics: A unique combination of exergy analysis and cost analysis in

    which combination the exergy costing principle is applied.

    Exergy costing

    principle:

    Exergy is the only rational basis for assigning monetary values

    to the interactions an energy system experiences with its

    surroundings and to the thermodynamic inefficiencies occurring

    within the system.

    Unavoidable exergy

    destruction:

    Exergy destruction rate that cannot be reduced due to

    technological limitations (e.g., availability and costs of materials

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    ENERGY, ENERGY SYSTEM ANALYSIS, AND OPTIMIZATION Application of Thermoeconomics to the Design and

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    and manufacturing methods) regardless of the amount of

    investment.

    Unavoidable

    investment cost:

    A minimum cost that will always incur when a component of the

    type being considered is used. This cost is independent of the

    component efficiency.Cost per unit of

    fuel exergy:

    The average cost at which the exergy associated with the fuel is

    supplied to the plant component being considered.

    Cost per unit of

    product exergy:

    The average cost at which the exergy associated with the

    product is supplied by the plant component being considered.

    Exergoeconomic

    factor:

    The contribution of the investment-related cost to the sum of

    costs associated with a plant component. The latter consists of

    the sum of cost of exergy destruction and the investment-related

    cost.

    Productive

    structure:

    A graphical illustration of the fuel, product and auxiliary

    equations for a plant component and the overall plant.

    Negentropy: The negative value of entropy transferred from a condenser tothe productive plant components in which entropy is generated.

    This generated entropy is rejected to the environment through

    the condenser. A negentropy stream flows in the opposite

    direction of an exergy stream.

    Objective function: A mathematical function to be maximized or minimized when

    solving an optimization problem.

    Decision variable: An independent variable whose value is amenable to change

    when solving an optimization problem.

    Nomenclature

    c cost per unit of exergyC cost associated with exergy

    E exergy

    f Exergoeconomic factor

    r relative cost difference

    W power

    y exergy-destruction or exergy-loss ratio

    Z cost rate associated with investment

    Greek Letters

    exergetic efficiency

    Subscripts

    D exergy destructionF fuel exergyk k-th system componentL exergy loss

    P product exergyq exergy or cost associated with heat transfertot overall systemw exergy or cost associated with transfer of work

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    Superscripts

    CI capital investmentUN unavoidable exergy destruction or cost

    Overmarks

    per unit timeBibliography

    Bejan, A., Tsatsaronis, G., and Moran, M. (1996). Thermal Design and Optimization. New York: JohnWiley & Sons. 542 p. [Contains an introduction to the exergy concept and the economic analysis,

    applications, and exergy-aided cost minimization of energy conversion systems.]

    Cziesla, F., Tsatsaronis, G. (2002). Iterative exergoeconomic evaluation and improvement of thermalpower plants using fuzzy inference systems, Energy Conversion and Management 43: 1537-1548.

    [Presents a combination of an iterative exergy-aided cost minimization technique with fuzzy systems. Anapplication of this approach to the optimization of a simple cogeneration plant is discussed.]

    Erlach, B., Tsatsaronis, G., and Cziesla, F. (2001). A new approach for assigning costs and fuels tocogeneration products.International Journal of Applied Thermodynamics; 4: 145-156. [Presents a novelexergy costing approach.]

    Frangopoulos, C.A. (1983), Thermoeconomic functional analysis: a method for optimal design orimprovement of complex thermal systems. PhD Thesis. Georgia Institute of Technology. [Introduces theTFA]

    Frangopoulos C.A. (1987). Thermoeconomic functional analysis and optimization. Energy, 12(7), 563-571. [Describes the TFA.]

    Gaggioli, R.A., Wepfer, W.J. (1980). Exergy economics. Energy The International Journal; 5, 823-38.

    [Presents the EEA.].

    Lazzaretto, A., and Tsatsaronis, G. (2006). SPECO: A systematic and general methodology forcalculating efficiencies and costs in thermal systems. Energy The International Journal, 31:1257-1289.[Discusses the definition and calculation of exergetic efficiencies using various exergy components,

    presents the SPECOM and compares the various approaches.]

    Tsatsaronis, G., Lin, L. (1990). On exergy costing in exergoeconomics. In: Tsatsaronis, G., Bajura, R.A.,Kenney, W.F., Reistad, G.M., editors. Computer-aided energy systems analysis, vol. 21. New York:

    ASME; p. 1-11. [Introduces the LIFOA.]

    Tsatsaronis, G., Penner, S.S. (Editors) (1994). Invited Papers on Exergoeconomics, Energy TheInternational Journal, special issue, 3: 279-381. [Presents the application of four exergoeconomicapproaches to the same problem.]

    Tsatsaronis G, Winhold M. (1985). Exergoeconomic analyses and evaluation of energy conversationplants.Energy The International Journal; 10: 69-94. [Introduces the FEA.]

    Valero, A., Lozano, M.A., Muoz, M. (1986). A general theory of exergy savings, Part I: On the

    exergetic cost, Part II: On the thermoeconomic cost, Part III: Energy savings and thermoeconomics. In:Gaggioli, R., editor. Computer-Aided Engineering of Energy Systems, vol. 2-3. New York: ASME; p. 1-21. [Introduces the ECT.]

    Valero, A., Torres, C., Serra, L. (1992). A general theory of thermoeconomics: Part I: structural analysis.

    In: Valero, A., Tsatsaronis, G., editors. International Symposium on Efficiency, Costs, Optimization andSimulation of Energy Systems, ECOS92. Zaragoza, Spain, June 15-18; p. 137-145. [Introduces theSAA.]

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    ENERGY, ENERGY SYSTEM ANALYSIS, AND OPTIMIZATION Application of Thermoeconomics to the Design and

    Synthesis of Energy Plants - G. Tsatsaronis

    Von Spakowsky, M.R. (1986). A Practical generalized analysis approach to the optimal thermoeconomicdesign and improvement of real-world thermal systems. PhD Thesis, Georgia Institute of Technology..[Introduces the EFA.]

    Von Spakovsky M. R. and Evans R. B. (1993). Engineering functional analysis Parts I, II. ASME J. of

    Energy Resources Technology, 115, 86-99. [Describes the EFA.].

    Biographical Sketch

    Professor George Tsatsaronis is the Bewag Professor of Energy Engineering and Protection of theEnvironment and the past Director of the Institute for Energy Engineering at the Technical University ofBerlin, Germany. He studied mechanical engineering at the National Technical University of Athens,Greece, receiving the Diploma in 1972. He continued at the Technical University of Aachen, Germany,where he received a Masters Degree in business administration in 1976, a Ph.D. in combustion from theDepartment of Mechanical Engineering in 1977, and a Dr. Habilitatus Degree in Thermoeconomics in

    1985.In the last thirty years he has been responsible for numerous research projects and programs related tocombustion, thermoeconomics (exergoeconomics), development, simulation and analysis of various

    energy-conversion processes (coal gasification, electricity generation, hydrogen production, cogeneration,solar energy-conversion, oil production in refineries and also from oil shales, carbon black production,refrigeration processes, etc) as well as optimization of the design and operation of energy systems withemphasis on power plants and cogeneration systems.He is a Fellow of the American Society of Mechanical Engineers (ASME) and a member of the GreekSociety of Engineers. He is a Past Chairman of the Executive Committee of the International Centre for

    Applied Thermodynamics.In 1977 he received for his Ph.D. Thesis the Borchers Award from the Technical University of Aachen,Germany and in 1994 and 1999 the E.F. Obert Best Paper Award from ASME. In 1997 he became aHonorary Professor at the North China Electric Power University and in 1998 he received from ASMEthe James Harry Potter Gold Medal for his work in exergoeconomics. In 2002 he became a guestprofessor at the Zhejiang University of Technology, China, and in 2004 he received a Doctoris Honoris

    Causa from the Polytechnic University of Bucharest, Rumania.

    He currently serves as an associate editor ofEnergy - The International Journal (since 1986), EnergyConversion and Management(since 1995), andInternational Journal of Energy, Technology and Policy(since 2002). He is a honorary editor of the International Journal of Thermodynamics (since 2003). Heco-authored with A. Bejan and M. Moran the book Thermal Design and Optimization and publishedabout 200 papers and scientific reports. He is the co-editor of 21 conference proceedings publications.

    To cite this chapter

    G. Tsatsaronis,(2007),APPLICATION OF THERMOECONOMICS TO THE DESIGN ANDSYNTHESIS OF ENERGY PLANTS , in Exergy,Energy System Analysis, and Optimization, [Ed.Christos A. Frangopoulos], in Encyclopedia of Life Support Systems (EOLSS), Developed under theAuspices of the UNESCO, Eolss Publishers, Oxford ,UK, [http://www.eolss.net]

    Encyclopedia of Life Support Systems (EOLSS)