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INPE ACTIVITIES IN ADVANCED TOOLS
DEVELOPMENT AND APPLICATION FOR THE
INNOVATIVE FAST REACTORS AND RELATEDFUEL CYCLES COST ASSESSMENTSA. ANDRIANOV, N. AYRAPETOVA, Yu. KOROVIN, V. MUROGOV, E. FEDOROVA
Obninsk Institute for Nuclear Power Engineering
National Nuclear Research University MEPhI
TECHNICAL MEETING ON FAST REACTORS AND RELATED FUEL CYCLE FACILITIES WITH IMPROVED ECONOMIC CHARACTERISTICS
IAEA Headquarters Vienna Austria, 11-13 September 2013
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CONTENT
Introduction
Conceptual framework for efficiency assessment studies
Application of MCDM methods for fast reactors and related
fuel cycles efficiency assessment studies Application of uncertainty analysis methods for fast reactors
and related fuel cycles efficiency assessment studies
Conclusion
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INTRODUCTION
The future nuclear powersystem should meetthe following basic requirements: to be resource-
sufficient and to produce a low amount of wastes in the long run, to be cost effective, to maintain
the necessary level of safety and reliability, to ensure the effective resistance to nuclear weaponsproliferation. In performing an integrated analysis on the design of the future nuclear power
structure, consideration must be given to the full range of system factors and constraints.
There is a growing understanding that the problem of efficiency assessmentand optimizing the
nuclear power system is multi-criteria. The criteria characterizing resource consumption,
economy, the risks of unauthorized proliferation and waste management, are conflicting by
nature. This means that improving the value of one criterion leads to a decrease in the values ofother criteria.
Considering the significant uncertainty specific to the problem field investigated, uncertainty
analysis is an inevitable step expected to provide better grounds for judgments. Uncertainties may
not be ignored in the assessment process and their examination should enable the decision
maker to reach a conclusion regarding the stability of results.
The development and application of state-of-the art multiple criteria decision making (MCDM)
and uncertainty analysis techniques for the innovative fast reactors and related fuel cycles cost
assessments and optimization of the nuclear power structures in multi-objective formulation is
urgently necessary. Based on this techniques decision support tools intend to highlight conflicts
and find compromises in the decision making process related to the innovative fast reactors and
related fuel cycles cost assessments.
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CONCEPTUAL FRAMEWORK FOR EFFICIENCYASSESSMENT STUDIES
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ADVANCED TOOLS DEVELOPMENT AND
APPLICATION IN INPE & NNRU MEPHI
Russian nuclear power prospects:
close NFC with fast reactors
Software developed : SYSTEM
EKONOM
SMAENG
GENESIS
MEDNES
ParSAM
Applications: National, regional and
global levels
Optimization of energy
and nuclear power
structures
International software used: MESSEGE
DESAE
SIMPACT
ENPEP
MAED
Assessment methodologies: sensitivity factors
system dynamics
method of unimprovable
alternatives
GW
INPE specialists have been working in the field of energy
systems forecasting for over 25 years. The working
groups have developed technical approaches to
assessing energy systems efficiency that were realized
as a set of software prognosis tools.
Since 2000 the group has been engaged in a
process of incorporation of certified internationalsoftware on energy planning into national
prognostic practice. The specialists are certified
software users.
The work has been carried out in close cooperation with
authorized international organizations, as well as Russian
and foreign research centers
Small and medium sized reactors for
regional energy supply
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2005 2010 2015 2020 2025 2030
T EN EX E UR OD IF U SE C U RE NC O L ES /N EF
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2005 2010 2015 2020 2025 2030
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106 Advanced global nuclear power systems
A training course for 6Russian institutions was
organized in cooperati-
on with the IAEA.
Energy system issues areconsidered at national,
regional, inter-regional and
global levels
Special training for students and post-graduate students is
a permanent concern. Relevant training materials have
been developed by the group. Our students regularly
participate in national and international workshops andconferences.
Studies provide an in-depth
technical and policy analysis
of various NFC including such
aspects as safety, resources,
waste management, nonpro-
liferation, economics.
Multicriteriality, uncertainty,
dynamics are the key
points for consideration.
Global nuclear fuel market
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FRAMEWORK FOR EFFICIENCY ASSESSMENT
MULTICRITERIALITY
UNCERTAINTYDYNAMICS &EVOLUTION
The main assessment framework standpoints:
multicriteriality, uncertainty, dynamics & evolution
Four areas of concern are determined by material flows anddetermine efficiency of fast reactors and related fuel cycles:
resources, economics, waste management and non-
proliferation.
Different levels for considerations and assessments:
the facility level, the NFC level, the nuclear power level.
EFFICIENCY
ASSESSMENT
Spent fuel
Fresh fuel
Fissile materials
Reprocessingplant
Fuel
Fabrication
Plant
Nuclear
power
plant
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MULTIPLE CRITERIA DECISION MAKING (MCDM)
Criteria identification
Problem formulation, goals, formalization
Formation of alternatives
Criteria assessment
Summary tables
DM/Exp/St-H preferences
Weighting Scoring
Aggregation
Uncertainty analysis
Final Recommendations
E
E
Experts, Stakeholders, Decision
Support Tools (DST)
Experts,
Stakeholders,
KB
Models, Expert- Stakeholders
judgments
DST
Expert Judgments, DST
DST, Expert Judgments
Decision Maker, Experts,
Stakeholders
DST, Models
Experts-Stakeholders for
Decision Maker
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DIALOG SYSTEM OF STOCHASTICMULTIOBJECTIVE OPTIMIZATION INTERACTIVE SYSTEM FOR VISUALANALYSIS OF FEASIBLE SET BORDERS
To perform calculation based on the proposed concept systematic implementation of
MCDM and uncertainty analysis techniques the specialized software was developed
UNCERTANTY CALCULATOR
BASIC TOOLS FOR EFFICIENCY ASSESSMENT
SIMPLE MCDA TOOLBOX
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APPLICATION OF MCDM METHODS FOR FASTREACTORS AND RELATED FUEL CYCLES
EFFICIENCY ASSESSMENT STUDIES
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MODM: base methods
Combinatorial optimization
problems
JMetal GA framework
NSGA-II, MOCHC algorithms
Fuzzy hybrid algorithm
FMOCHC
Neural Net joined with GA
optimization
etc
THE MAIN COMPONENTS OF MCDM TECHNIQUES
MCDA: base methods
MAVT (aggregation)
AHP (pairwise comparison)
TOPSIS (distance to ideal point)
PROMETHEE (pairwise comparison based on
preference functions)
MAUT (uncertain criterion values)
Fuzzy MAVT (MAVT joined with fuzzy theory)
ProMAA (distributed criterion values and
weights)
etc
Multiple criteria decision making (MCDM) techniques are a tool aimed at supporting decision makers
faced with making numerous and conflicting assessments. MCDM techniques intend to highlight conflicts
and find compromises in the decision making process. Multi-Criteria Decision Analysis (MCDA) and
Multi-Objective Decision Making (MODM) are the main components of MCDM.A large number of MCDA techniques have been developed to deal with different kinds of problems
(MAVT, AHP, TOPSIS, PROMETHEE, etc.). At the same time each technique has pros and cons and can
be more or less useful depending on the situation.
The methods of MODM for multi-objective optimization problem solving are various: a priorimethods; a
posteriorimethods; adaptive methods; methods based on the preliminary construction of the Pareto set
approximation.
BASIC TOOL FOR MATERIAL FLOW CALCULATION
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BASIC TOOL FOR MATERIAL FLOW CALCULATION
AND MODM IMPLEMENTATION
MESSAGE (Model for Energy Supply Strategy Alternatives and their GeneralEnvironmental Impacts) is a large-scale dynamic system engineering optimization model
used for medium- and long-term energy planning, energy policy and energy developmentscenarios analysis.
The software was originally developed by the International Institute for Applied SystemsAnalysis. Currently, this software is supported by the IAEA, and is used in the toolbox ofthe INPRO project.
MESSAGE software is a flexible modeling environment that allows the user to formulatea linear programming problem, find the optimal solution and process the calculationresults.
MULTI OBJECTIVE OPTIMIZATION MODULES FOR
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MULTI-OBJECTIVE OPTIMIZATION MODULES FOR
NUCLEAR POWER SYSTEMS STUDIES
ConCriM
implementation of the criteria
constraints method and stochastic LP
ParSAM
implementation of reasonable goals
methods, GRS-methodNESI
module for specification of nuclear
energy systems description
For realization of MODM techniques for energy planning software MESSAGE the following
methods have been implemented as modules (draft version): methods of effective solutionsselection through single criterion optimization (linear direct weighting of criteria and criteria
constraints methods); goal programming method; reasonable goals method (interactive
method of multi-criteria decision-making support).
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MULTI-OBJECTIVE ANALYSIS OF THE DEVELOPING
GLOBAL NUCLEAR POWER SYSTEMFollowing options of global nuclear power with closed NFC were considered:
(1) U-Pu closed NFC with LWR, HWR and their advanced prototypes, FR breeder and burner
(2) U-Pu-Th closed NFC with fast breeders with Th blankets and Pu cores
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STRUCTURES OF DEVELOPING NUCLEAR POWER
The study results have proven that it is difficult, or even impossible with limited set of reactortechnologies, to meet the set of constraints that reflect the system requirements for a nuclear power
system. In respect to this type of system constraints, the nuclear power system structure becomes
extremely sensitive to the reactor technology types and loses its ability to adapt to changing external
conditions, while meeting the set of conflicting system constraints. In such a system, each technology
plays an important role. If one of them is lost, there will be no optimal solution for a given set of
constraints. In this study a compromise could be found in transition to U-Pu-Th NFC.
The step-by-step setting of restrictions (total
amount of natural uranium, SNF, the locations
of FR) have defined the following optimal
nuclear power structures:
once-through uranium NFC with no
restrictions on uranium resources (I);
closed U-Pu NFC with and without
restrictions on the locations of FR and the
limitations on the amount of available natural
uranium (II, III);
closed U-Pu-Th NFC with restrictions on the
location of FR and the amount of available
natural uranium (IV).
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Indicators characterizing the proliferation potential of scenarios:
Potential productivity of fissile materials, SQ/year
Total amount of fissile materials in NFC - Amounts of direct- and indirect-use nuclear materials, SQ
Different structures of developing nuclear power systems are comparable by indicators "total amount of
fissile materials in NFC" and "potential productivity of fissionable materials".
The improvement of one indicator is achieved by worsening another. It is impossible to make definitive
judgments about the prospect of a nuclear power structure and the NFC type from the non-proliferation
viewpoint based on material flow assessment, without a detailed analysis of the proliferation scenarios
and specification of acting national and international systems of nonproliferation regime management.
NUCLEAR POWER STRUCTURE COMPARISON ON
PROLIFERATION RISK INDICATORS
Scenarios Total amount of fissilematerials in NFC, 106SQ
Potential productivity offissionable materials, 106SQ/yr
I 4.1 6.2 33 362
II 2.2 4.3 455 664
III 3.0 5.1 302 370IV 1.9 4.0 420 480
MULTI OBJECTIVE ANALYSIS OF RUSSIAN
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MULTI-OBJECTIVE ANALYSIS OF RUSSIAN
NUCLEAR POWER WITH DIFFERENT FRUsing the reasonable goals method, the studies on Russian nuclear power with FR with
different breeding parameters were carried out to establish a compromise development
strategy on a set of conflicting criteria and to identify cost-effective measures for reductionuranium consumption, risks of proliferation and SNF management.
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3,00x109
3,25x109
3,50x109
3,75x109
4,00x109
4,25x109
4,50x109
4,75x109
5,00x109
1000
1500
2000
2500
3000
3500
4000
4500
5000
cost, 1000$
uranium consumption, kt
COST-EFFECTIVE REDUCTION OF NATURAL
URANIUM CONSUMPTION
Cost-effective reduction of natural uranium consumption and related technological options may be obtained
by means of calculation of trade-off strategies on criteria minimizations of the total discounted costs and the
natural uranium consumption. Trade-off curve identifies additional cost related to reduction of naturaluranium consum tion.
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COST-EFFECTIVE PLUTONIUM MANAGEMENT
STRATEGIES
0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.60.9
1.0
1.1
1.2
1.3
Pu multirecycling and forming of balance ofPu production and consumption
Preventing the accumulation of separated Pu
Consumption of differentaccumulated Pu forms
Increasing nuclear proliferation risk importanceThe
relativein
crease
int
otalcosts
The relative increase of scale of nuclear proliferation risks
Relative attractiveness of
plutonium on different NFC stages
Cost-effective strategy for plutonium management and related technological options may be obtained by
means of trade-off strategies calculation on criteria minimizations of the total discounted costs and the
plutonium risk exposure. Trade-off curve identifies additional cost related to implementation of measures forreduction proliferation risks associated with plutonium.
COST EFFECTIVE COMPLEX SOLUTIONS
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COST-EFFECTIVE COMPLEX SOLUTIONS
Obtained by means of MODM methods the trade-off nuclear power structures specify balanced solutions on
set of conflicting criteria and satisfy the cost-effective condition. These structures are always diversified by
different reactor types. Technological diversity provides effective risk management.
Trade-off surface (in n-dimensional space, n number of criteria) of non-dominated solution allows
identifying additional cost related to implementation of complex measures to reduce uranium consumption,proliferation risks and SNF accumulation.
Value path
1
3 4
2
1
2 3
4
Interactive
decision
map
APPLICATION OF MCDA TECHNIQUES
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APPLICATION OF MCDA TECHNIQUESApplication of the MCDA methods (MAVT, AHP, TOPSIS, PROMETHEE, MAUT, etc) for multi-criteria
assessment of the efficiency of the various nuclear power structures shows that, despite some differences
in the ranking alternatives, the results obtained by using different methods, are well coordinated. The multi-
criteria approach allows providing more detailed differentiation of the alternatives, specifying benefits and
risks associated with alternatives and identifying trade-off solutions.
As recommendations on the use of MCDA method to multi-criteria assessment of the effectiveness of the various
nuclear power structures can be specified following points. Preselection of non-dominated alternatives leads to greater sustainability of alternatives ranking (in comparison
with the consideration of the whole set of alternatives): ranking order, within a set of non-dominated alternatives,
slightly changing the transition to the different methods of assessment.
Despite the fact that on the results of ranking alternatives affect the expert preferences of certain criteria, the
stability regions exist in which a wide range of variation of the preferences, the ranking order is preserved.
Taking into account the results of the sensitivity analysis and the additional analysis of alternatives by using expertjudgment and total set of graphical and attribute information the best alternative may be chosen.
Structure MAVT MAUT TOPSIS PROMETHEE
1 5 5 2 5
2 1 1 1 2
3 6 6 3 6
4 4 4 6 4
5 7 7 7 7
6 3 3 4 3
7 2 2 5 1
Rank of nuclear power structures
INVESTMENT ATTRACTIVENESS OF NPP
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INVESTMENT ATTRACTIVENESS OF NPP
CONSTRUCTION BASED ON SMSR MODULESMODM techniques may be used for assessment of
investment attractiveness of NPP construction
based on small and medium sized reactors and forformulation of recommendations on the ways to
increase it.
NPV - net present value
PV - present value
DPP - discounted payback periodIRR - internal rate of return
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APPLICATION OF UNCERTAINTY ANALYSISMETHODS FOR FAST REACTORS AND RELATED
FUEL CYCLES EFFICIENCY ASSESSMENT STUDIES
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UNCERTAINTY IN COST ESTIMATIONSOne major shortcoming of conventional approach for cost assessments is the requirement to use point
estimates for the technology characteristics and other important parameters.
Considering the significant uncertainty specific to the problem field investigated, uncertainty analysis is
an inevitable step expected to provide better grounds for judgments. Uncertainties may not be ignoredin the assessment process and their examination should enable the decision maker to reach a
conclusion regarding the stability of results.
METHODS OF UNCERTAINTY ANALYSIS
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METHODS OF UNCERTAINTY ANALYSIS
The analytical approach
Fourier Amplitude Sensitivity Test
The Extreme Condition Approach for Uncertainty Propagation
The Statistical Approach for Uncertainty Propagation
Regression Analysis
The SUAM and CSSUAM methods
Uncertainty Calculation System & Method (UCSM)
Law of propagation of error
Fuzzy sets
Interval analysis
The greatest application in assessing efficiency was found by the following uncertainty analysis
methods:
Scenario-based analysis (analysis of developments according to various credible scenarios
following the logic ofwhat-if);
Parametric analysis (with initial data variations over wide ranges of values);
Marginal sensitivity analysis (analysis of the effect made by insignificant changes in the initial
data of a model on the solution.
The uncertainty consideration methods that have been finding increasing application include interval
algebra, fuzzy sets, probabilistic methods, and the Monte Carlo technique.
GRS-method to quantify uncertainties
Response Surface Method (RSM)
Simple random sampling (SRS)
Latin hypercube sampling
Sample size justification
First-order second-moment analysis
Probabilistic uncertainty of input parameters
Analytical-statistical simulation approach (ASSA)
Bayesian Model
etc.
UNCERTAINTY IN LEVELIZED COST
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The structure of nuclear powerLevelized cost,
cents (kWh)
Uranium resources are not limited, two-
component structure of nuclear power1.66 0.185
Uranium resources are limited (1.2 milliontons), two-component structure of nuclear
power
1.76 0.143
UNCERTAINTY IN LEVELIZED COST
12
Nuclear power structures for mean cost values
The quantitative analysis performed shows that the considered scenarios are statistically
indistinguishable (90% confidence intervals of uncertainty of the levelized cost for various scenarios
overlap). This suggests that it is impossible to make definitive judgments about the prospects of one or
other structure on economic indicators, taking into account the existing uncertainties in the unit cost data.
density distribution
20 unit costs were perturb
independently (all NFC andinvestments cost)
Uniform probability distribution
was chosen
100 scenarios were generated
according to Wilks formula
RISK OF UNDERESTIMATING FUTURE
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RISK OF UNDERESTIMATING FUTURE
TECHNOLOGY COSTS - STOCHASTIC APPROACH
Implementation of stochastic approach foroptimization of nuclear power leads to
Diversification of nuclear power structure
Shift to more advanced nuclear technology
(from BN-K-1 and 2 towards BN-K-3)
This result looks more reasonable from expert
viewpoint
The stochastic approach captures the risk
of underestimating future technology costs.
The strategies derived with the stochastic approach
possess the required technological diversity withoutexogenous flexibility constraints. They also have a
more robust structure with respect to present
uncertainties concerning future parameters. The
strategies derived with the stochastic model
extension are less costly than strategies obtained on
the basis of a purely deterministic model.
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Thank youfor attention
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PROPOSALSBased on the understanding that the main activities in the field of fast reactors and related fuel
cycle facilities with improved economic characteristics should be focused on (i) gathering the
best practices on enhancement of economic characteristics (the main issues, technicalfeatures and solutions on different levels, reactor concepts and designs), (ii) formulation of
recommendations on capital and energy production costs reduction, improving the economic
competitiveness and investment attractiveness, (iii) arrangement of conditions for providing
systematic implementation of outcomes in regular R&D practices, following specific proposals
may be put forward: To organize platform for communication and systematic joint activities between technology
developers and experts in efficiency assessment techniques for providing finding of quantitative
proven technical and technological solutions on economic characteristics enhancement.
To review and revise approaches and tools for the cost assessment of fast reactors and
associated nuclear fuel cycles and forming on their base the structured and practical orientedtoolbox with detailed recommendation on its applications for R&D involved parties.
To stimulate development of necessary educational and training resources on issue
(curriculums, textbooks, lecture courses, etc.) for providing effective knowledge transfer to the
next generation technology developers (students of nuclear specialties, researchers, etc.).