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Guidelines to develop software for thermoeconomic analysis of energy systems

Guidelines to develop software for thermoeconomic analysis of energy systems. César Torres , Antonio Valero and Erika Perez Centro de Investigación de Recursos y Consumos Energéticos University of Zaragoza (SPAIN). Objectives.

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Guidelines to develop software for thermoeconomic analysis of energy systems

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  1. Guidelines to develop software for thermoeconomic analysis of energy systems César Torres, Antonio Valero and Erika Perez Centro de Investigación de Recursos y Consumos Energéticos University of Zaragoza (SPAIN)

  2. Objectives The main objective of this paper is to show the guidelines to develop a software for the thermoeconomic analysis of energy systems, making special emphasis on: • The thermoeconomic data model • The cost formation process of products and residues • The application to thermoeconomic diagnosis Guidelines to develop software for thermoeconomic analysis

  3. Productive Structure Flow plant: String flows: Collection <flow> devices: Collection <device> … Id: Number fromDevice: Device toDevice: Device type: TypeOfFlow … Thermodynamic Model Economic Model Device plant: ProductiveStructure … plant: ProductiveStructure … Id: Number name: String type: TypeOfDevice Fuel: Collection<Flow> Product:Collection<Flow> … getExergy(flow) : float …. getDeviceCost(device) : float getResourceCost(flow): float …. Thermoeconomic Model 1..m 1..n Guidelines to develop software for thermoeconomic analysis

  4. Productive and Dissipative Components • An energy system has two types of components: • Productive components • Dissipative components • Productive components provide: • Functional Products • Resources (Fuel) to other process • Residues and waste disposals • Dissipative components are required to: • Reduce or eliminate the environment impact of residues and wastes • Maintain the operation conditions of the system, from a physical and/or a legal point of view • Improve the efficiency of the system Guidelines to develop software for thermoeconomic analysis

  5. Productive Structure Guidelines to develop software for thermoeconomic analysis

  6. The Fuel-Product Table • The productive diagram is a graphic representation of the thermoeconomic model of the plant. • The inputs of a component are its resources • The outputs of a component are its products • The Fuel Product table is the adjacency matrix of the productive graph Represents the external resources Represents the system outputs Represents the production of the i-th component becomes fuel of the j-th component Guidelines to develop software for thermoeconomic analysis

  7. The Fuel Product Table (II) • The productive graph and its Fuel Product table can be applied to: • Thermoeconomic Optimization (TFA) • Thermoeconomic Diagnosis • Identify the cost formation process of product and residues • Analyze different aggregation level of a system • The FP table can be built automatically from the information provided by the productive structure of the system. Valero and Torres proposed in 1988 an algorithm based on the Exergy Cost Theory. Guidelines to develop software for thermoeconomic analysis

  8. FP Table Builder Build Incidence Matrices Compute Productive Structure Compute FP Table Compute Build Incidence Matrices Compute Flow Exergy Values Compute Guidelines to develop software for thermoeconomic analysis

  9. TAESS Intro Pannel Guidelines to develop software for thermoeconomic analysis

  10. TAESS Data Input Guidelines to develop software for thermoeconomic analysis

  11. TAESS General data 1 Guidelines to develop software for thermoeconomic analysis

  12. TAESS FP Table Guidelines to develop software for thermoeconomic analysis

  13. TAESS FP Diagram Guidelines to develop software for thermoeconomic analysis

  14. Objectives The main objective of this paper is to show the guidelines to develop a software for the thermoeconomic analysis of energy systems, making special emphasis on: • The thermoeconomic data model • The cost formation process of products and residues • The application to thermoeconomic diagnosis Guidelines to develop software for thermoeconomic analysis

  15. The Cost Model The exergy costing rules can be written as: • The cost of product is equal to the cost of the resources required to obtain it, plus the cost of the residues generated: • The cost of the external resources is known: [exergy cost (kW)] [exergoeconomic cost (€/h)] • The cost of each flow making up the product is proportional to its exergy: Guidelines to develop software for thermoeconomic analysis

  16. The cost of a residue must be allocated to one or several productive components: i r j r i s Residue Cost Distribution The Residue Cost Distribution ratios represent the portion of the cost of the residue dissipated in the r-thcomponent which has been generated in the i-th productive component. • To determine the values of Cri we must define the distribution cost ratios (RCD) as: • Therefore, the cost of the residues allocated to each productive unit, is given by: Guidelines to develop software for thermoeconomic analysis

  17. Costing Equations • The unit production cost could be obtained by solving the following system of lineal equations: is a (n x n) matrix whose elements are the unit consumption values, defined as: is a (n x n) matrix whose elements are the ratios of the residues generated per production unit: is a (n x 1) vector whose elements are the cost of the external resources consumed in each component per production unit: Guidelines to develop software for thermoeconomic analysis

  18. Cost Decomposition • The unit exergy cost of the product could be decomposed into two parts: represents the unit production cost due to irreversibilities of the components: represents the unit production cost due to the residues: Guidelines to develop software for thermoeconomic analysis

  19. Cost Decomposition Activity Diagram Build Compute FP Table Compute Compute Residue Cost Distribution Ratios Build Compute Compute Compute Compute Guidelines to develop software for thermoeconomic analysis

  20. Themoeconomic Analysis Sequence Diagram Thermoeconomic Analysis FPR model FP Builder Productive Structure Thermodynamic Model Economic Model buildFP(state) getStructure() productive structure FP table getExergies(state) exergies getResourcesCost() resource cost Guidelines to develop software for thermoeconomic analysis

  21. TAESS Matrix RP Guidelines to develop software for thermoeconomic analysis

  22. TAESS Cost Analysis Report Guidelines to develop software for thermoeconomic analysis

  23. TAESS Cost Formation Graph Guidelines to develop software for thermoeconomic analysis

  24. Objectives The main objective of this paper is to show the guidelines to develop a software for the thermoeconomic analysis of energy systems, making special emphasis on: • The thermoeconomic data model • The cost formation process of products and residues • The application to thermoeconomic diagnosis Guidelines to develop software for thermoeconomic analysis

  25. Thermoeconomic Diagnosis • It is based on the comparison of two thermodynamic states • Obtains a set of common indexes for every component of the system, whose could be used in combination with other parameters to provide useful information for the plant operation. • Relates the variation of the irreversibilities and resources consumption to the variation of the efficiency of each component. The objective of the thermoeconomic diagnosis is the location and quantification of the anomalies causing the reduction of the system efficiency. Guidelines to develop software for thermoeconomic analysis

  26. Malfunction and Dysfunction • The irreversibility increase of a component could be decomposed into two contributions: • The irreversibility increase due to a variation of the efficiency of the component itself (MALFUNCTION). • The variation of the production objective of the component due to the malfunctions of others components (DYSFUNCTION) DFk0 represents the irreversibility increase of the component k-th caused by a variation of the outputs (final products or residues) • The sum of the malfunctions caused by a component is called MALFUNCTION COST: DFji represents the irreversibility increase of the component j-th caused by a malfunction in the i-th component Guidelines to develop software for thermoeconomic analysis

  27. The Fuel Impact Formula There are two approaches to allocate the fuel impact of a system • The costs of the internal malfunctions are valuated by the production cost due only to irreversibilities. The cost of the residues variation is considered as another contribution to the fuel impact. • The cost of the internal malfunctions are valuated by the production cost and they include the residues variation effect. Guidelines to develop software for thermoeconomic analysis

  28. Thermoeconomic Diagnosis Activity Diagram FPR Model for Reference State Compute Build Compute Compute FPR Model for Current State Guidelines to develop software for thermoeconomic analysis

  29. TAESS Diagnosis Guidelines to develop software for thermoeconomic analysis

  30. TAESS Diagnosis Report Guidelines to develop software for thermoeconomic analysis

  31. TAESS Irreversibility Analysis Graph Guidelines to develop software for thermoeconomic analysis

  32. TAESS Fuel Impact Analysis Graph Guidelines to develop software for thermoeconomic analysis

  33. Productive and Dissipative Structures • It has been shown there is not only a productive structure but a dissipative structure • The dissipative structure describes how the process of residues and wastes formation is. It could be as complex as the productive one. • The productive and dissipative structures are not independent but they are interrelated. A malfunction in a component cause both an increase of the irreversibilities of the components and an increase of the residues. • Therefore, to make a correct thermoeconomic diagnosis we must define both good productive and dissipative structures. Guidelines to develop software for thermoeconomic analysis

  34. Conclusions • This paper should be understood as a functional description for developing software for thermoeconomic analysis of energy systems. • It includes the following new contributions: • A FP table builder algorithm. • A cost decomposition methodology. • Fuel Impact analysis of residues and wastes • From now on the problem of thermoeconomic diagnosis should not be to compute cost indexes but analyzing the results. • A demo program, called TAESS, is available from the authors at http://www.exergoecology.com to illustrate the ideas presented in the paper. Guidelines to develop software for thermoeconomic analysis

  35. Exergoeconomics web page Guidelines to develop software for thermoeconomic analysis

  36. Thank you very much for your attention

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