DESIGN OPTIMIZATION USING EXERGOECONOMICS
G. TSATSARONIS
Institute for Energy Engineering
Technical University of Berlin
Marchstr. 18, 10587 Berlin, Germany
1. Introduction
Exergoeconomics, this common branch of mechanical and chemical engineering, represents
a unique combination of an exergy analysis and a cost analysis, to provide the designer or the
operator of an energy-conversion plant with information not available through conventional
energy, exergy or cost analyses but crucial to the design and operation of a cost-effective
plant. Exergoeconomics may be defined as an exergy-aided cost-reduction method. In
addition, exergoeconomics is a very powerful tool for understanding the interconnections
between thermodynamics and economics, and, thus, the behavior of an energy conversion
plant from the cost viewpoint [1].
Design optimization of a thermal system means the modification of the structure and the
design parameters of a system to minimize the total leveIized cost of the system products
under boundary conditions associated with available materials, financial resources, protection
of the environment, and government regulation, together with the safety, reliability,
operability, availability and maintainability of the system. A truly optimized system is one for
which the magnitude of every significant thermodynamic inefficiency (exergy destruction and
exergy loss) is justified by considerations related to costs or is imposed by at least one of the
above boundary conditions. A thermodynamic optimization, which aims at minimizing the
thermodynamic inefficiencies, may be considered as a subcase of design optimization.
Appropriate formulation of the optimization problem is usually the most important and
sometimes the most difficult step of a successful optimization study. In optimization problems
we distinguish among independent variables, whose values are amenable to change; these are
the decision variables and the parameters whose values are practically fixed by the particular
application. In optimization studies, only the decision variables may be varied. The
parameters are independent variables that are each given one specific and unchanging value
in any particular model statement. The variables whose values are calculated from the
independent variables using a mathematical model are the dependent variables.
We will initially consider an almost ideal case: A complete thermodynamic model and a
complete economic model are available for the optimization of an energy system. In addition,
the structure of the system might be considered as optimal, that is, either there are no
alternative structures or each alternative structure is considered to be inferior to the present
structure. Finally, we assume that an analytical or a numerical optimization technique (e.g.,
[2-4]) may be used to directly optimize the decision variables. Only in this ideal case, the
calculation of exergy-based variables is unnecessary since the optimization can be conducted
directly using the available models and techniques. In practical applications, however,
thermal systems cannot usually be optimized as in this ideal case. The reasons include the
following:
Some of the input data and functions required for the thermodynamic and, particularly, the
economic model might not be available or might not be in the required form. For
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A. Bejan and E. Mamut (eds.), Thermodynamic Optimization of Complex Energy Systems, 101-115.
© 1999 Kluwer Academic Publishers.