Abstract— The paper presents quantitative RAM-based
economic models capable of sup-plying early and realistic
information on the envisaged lifespan economic perfor-mance of
energy infrastructure systems during their conceptual designs.
Unlike the conventional cost models which do not take these
RAM characteristics into account, the models in this paper
provide an early trade-off between the RAM attributes the
designer wants to incorporate in the system and the cost of
having them. The economic models thus provide the designer
the ultimate leeway of selecting more intrinsically reliable and
more inherently maintainable components or subsystem of the
infrastructure system at a more affordable investment costs.
The paper focusses on a user friendly formulation for
incorporating the social costs, which are typical for
infrastructures that operate in the public domain, in the cost
structure of infrastructure systems. To demonstrate the
implementation and utility of these economic models, it has been
applied to a District Heating Network (DHN) case study.
I. INTRODUCTION
One of the key aspects of infrastructure systems is their
relatively long life span, e.g., several decades. Over this long
a time span it is not only that the value of money significantly
changes, but also the income from delivered services and
goods can change. Furthermore, in keeping up the
performance of the infrastructure, several re-investments in
new technologies (retrofits) may be necessitated. These
require that a life span perspective must be taken in setting up
the economic model. Therefore, in most of the cost
formulation the discrete lifespan perspective of costs and
benefits is the main mathematical structure of the economic
model. What is being emphasized in this paper is the fact that
the RAM (Reliability, Availability, Maintainability) as well
as the economy of the infrastructure system (as infrastructural
performance indicators) should be consecutively carried
along the length and breadth of the concept and early design
phases as well as in the entire life cycle. The overriding
importance of integrating such economic performance
indicator that takes into account RAM related strategic issues
in these specific phases stems from the fact that a very high
proportion of the potential to influence life cycle cost and
revenue generation of the infrastructure systems is fixed in
these phases. This has been extensively discussed in
[1][2][3]. Apart from the life cycle perspective, a novel cost
formulation that adds the social cost of infrastructure service
outages to the RAM-enriched cost equations is the hallmark
of this paper. The next section briefly introduces the Markov
RAM-based economic models and section III will build upon
this model by introducing cost models that reflect the social
outages. In section IV, the applicability of the models are
demonstrated by means of a case study of a district heating
infrastructure design.
II. MARKOV RAM-BASED ECONOMIC MODEL
By Markov RAM-based economic model, we mean a set of
mathematical relationships between cost and system design
variables, as well as other performance metrics like RAM,
which could realistically predict cost and other economic
indicators from the values of these variables and metrics.
For instance, from the availability models, the downtime at
any given performance level due to failures could be
determined and the associated costs and e orts of having
such availability as well as the revenue loss accruable to it can
be fed into the economic model.
Figure 1 Graphical illustration of the cost and revenue components of a large
scale infrastructure system
In Figure 1, the various cost and revenue components as
well as the stages in the life cycle of the infrastructure system
where such costs and revenues are incurred or accrued are
depicted. These costs, especially those incurred at the
operations and maintenance stage as well as construction and
decommissioning stage, form the major elements of the
economic model that have been developed.
We refer to [3] for detailed derivations of the various
elements of our cost models. The overall stochastic model
comprises the following elements:
- social (user) cost model (see next section)
Integration of societal outage cost into infrastructure design and
maintenance optimisation
Paulien M. Herder, Member, IEEE, Austine N. Ajah, Margot P.C. Weijnen, Member, IEEE
Delft University of Technology / Next Generation Infrastructures Foundation
PO Box 5015, 2600 GA Delft, The Netherlands, p.m.herder@tudelft.nl
Proceedings of the 2009 IEEE International Conference on Systems, Man, and Cybernetics
San Antonio, TX, USA - October 2009
978-1-4244-2794-9/09/$25.00 ©2009 IEEE
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