INPE ACTIVITIES IN ADVANCED TOOLSDEVELOPMENT AND APPLICATION FOR THEINNOVATIVE FAST REACTORS AND...

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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

    0

    10

    20

    30

    40

    50

    60

    70

    80

    90

    2005 2010 2015 2020 2025 2030

    T EN EX E UR OD IF U SE C U RE NC O L ES /N EF

    0

    10

    20

    30

    40

    50

    60

    70

    80

    90

    2005 2010 2015 2020 2025 2030

    12 3

    12

    3

    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.).