Comparison between the Distributed Entropy Method and Average Cost ‎Theory Method in Exergoeconomic Analysis of Energy Systems

Document Type: Original Article


Department of Mechanical Engineering, Aliabad Katoul Branch, Islamic Azad University, Aliabad Katoul ,‎ Iran


Residues are disposal remaining flows of matter or energy that are produced by energy systems. Residues cost allocation is a complex problem. One of the most important criteria for residues cost allocation is distributed entropy method. In this method, the fuel-product (FP) table (a mathematical representation of the thermoeconomic model) is used as input data. Average cost theory (ACT) method is one of the most important conventional exergoeconomic methods that can be applied to energy systems. In this paper, distributed entropy method and ACT method are applied to a combined cycle and a cogeneration system. Fuel and product costs for each component are obtained and compared with each other. Specific cost of product for each component is calculated, too.


[1] El-Sayed YM, Gaggioli RA. A critical review of second law costing methods – I: background and algebraic procedures. ASME J Energy Resour Technol 1989;111:1–7.

[2] Gaggioli RA, El-Sayed YM. A critical review of second law costing methods – II: calculus procedures. ASME J Energy Resour Technol 1989;111:8–15.

[3] Lozano MA, Valero A. Theory of the exergetic cost. Energy Int J 1993;18(9):939–40.

[4] Bejan A, Tsatsaronis G, Moran M. Thermal design and optimization. New York: Wiley; 1996.

[5] Lazzaretto A, Tsatsaronis G. On the calculation of efficiencies and costs in thermal systems. In: Aceves SM et al. editors. Proceedings of the ASME advanced energy systems division – 1999, AES-vol. 39. New York: ASME; 1999. p. 421–30.

[6] Kim SM, Oh SD, Kwon YH, Kwak HY. Exergoeconomic analysis of thermal systems. Energy 1998;23(5):393–406.

[7] Kwon YH, Kwak HY, Oh SD. Exergoeconomic analysis of gas turbine cogeneration systems. Energy Int J 2001;1(1):31–40.

[8] Frangopoulos CA. Thermoeconomic functional analysis: a method for optimal design or improvement of complex thermal systems. Ph.D. Thesis, Georgia Institute of Technology, Georgia; 1983.

[9] Frangopoulos CA. Thermoeconomic functional analysis and optimization. Energy 1987;12(7):563–71.

[10] von Spakovsky MR. A practical generalized analysis approach to the optimal thermoeconomic design and improvement of real-world thermal systems. Ph.D. Thesis, Georgia Institute of Technology, Georgia; 1986.

[11] Erlach B, Serra L, Valero A. Structural theory as standard for thermoeconomic. Energy Convers Manage 1999;40:1627–49.

[12] Lozano MA, Valero A. Thermoeconomic analysis of a gas turbine cogeneration system. ASME book no. H00874, AES, vol. 30, WAM; 1993. p. 312-20.

[13] Frangopoulos CA. Thermoeconomic functional analysis. from Encyclopedia of Life Support System (EOLSS), developed under the auspices of the UNESCO. In: Frangopoulos CA, editor. Exergy, energy system analysis and optimization. Oxford: EOLSS Publishers; 2004. See also: <>.

[14] Torres C, Valero A, Rangel V, Zaleta A. On the cost formation process of the residues. Energy 2008; 33: 144-52.

[15] Seyyedi  S.M., Ajam H., Farahat S. A new criterion for the allocation of residues cost in exergoeconomic analysis of energy systems, Energy 2010; 35: 3474-82.

[16] Seyyedi  S.M., Exergoeconomic Analysis of a Cogeneration System and Proposal for a New Approach for Optimization Based on the Structural Method, Ph.D. Thesis in Mechanical engineering, the University of Sistan & Baluchestan, 2010.

[17] Valero A, Lozano MA, Serra L, Tsatsaronis G, Pisa J, Frangopoulos CA, et al. CGAM problem: definition and conventional solution. Energy 1994;19(3): 279–86.

[18] Seyyedi  S.M., Ajam H., Farahat S. A new approach for optimization of thermal power plant based on the exergoeconomic analysis and structural optimization method: Application to the CGAM problem. Energy Conversion and Management 2010; 51:  2202–11.