further development for criticality safety analysis · general purpose creation and validation of a...
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Further Development for Further Development for Criticality Safety AnalysisCriticality Safety Analysis
Tatiana Tatiana IvanovaIvanova and and YannYann RichetRichet
UACSA Expert Group Kick-off Meeting
IRSN Fontenay-aux-Roses
December 5, 2007
EG UACSA Kick-off Meeting IRSN Fontenay-aux-Roses December 5, 2007 Page 2
General PurposeGeneral Purpose
Creation and validation of a technique to designate the calculational biases and uncertainties for code used for the criticality safety assessment
222tndmndmeff akkk σσσ +++∆+∆=∆
∆keff - computational bias,∆km - bias due to computational method,∆knd - bias due to nuclear data,σm - uncertainty of the bias due to computational method,σnd - uncertainty of the bias due to nuclear data,σt - technological uncertainty,
- a multiplier.a
EG UACSA Kick-off Meeting IRSN Fontenay-aux-Roses December 5, 2007 Page 3
The Tools Function and StatusThe Tools Function and Status
The MACSENS tool is developed and under the validation and modification (Presented by Y. RICHET)
222tndmndmeff akkk σσσ +++∆+∆=∆
The Software tool is to be developed to implement the Generalized Linear Least Square Method (GLLSM) based methodology (Presented by T. IVANOVA)
222tndmndmeff akkk σσσ +++∆+∆=∆
EG UACSA Kick-off Meeting IRSN Fontenay-aux-Roses December 5, 2007 Page 4
Initial Data for the GGLM Based ToolInitial Data for the GGLM Based ToolCrossCross--section Covariance Datasection Covariance Data
S=PtW-1P+(∆k-HP)tU-1(∆k-HP)Wn,m= (δσn/σn)(δσm/σm) ρn,m
δσ - cross-section uncertainties σn,σm
ρn,m- correlation coefficient (n=1,…N, m=1,…M)
Covariance data produced by NJOY/ERROR from ENDF/B-V, -VII, JEF2.2, JEFF3.1 etc files.
Low-fidelity covariance data
“Home made” covariance matrices
EG UACSA Kick-off Meeting IRSN Fontenay-aux-Roses December 5, 2007 Page 5
Initial Data for the GGLM Based ToolInitial Data for the GGLM Based ToolSensitivity CoefficientsSensitivity Coefficients
S=PtW-1P+(∆k-HP)tU-1(∆k-HP)
nn
icicni
kkH
σσ∂∂
= ,,,
APOLLO2 Results (2D Deterministic Method)
TSUNAMI-3D Results (3D Monte Carlo - Joint Based Perturbation Method)
MORET 4 (3D Monte Carlo - Correlated Sampling Method)
Further development of MORET 4 code (3D Monte Carlo)
σn– cross sections
EG UACSA Kick-off Meeting IRSN Fontenay-aux-Roses December 5, 2007 Page 6
Initial Data Set for the GGLM Based ToolInitial Data Set for the GGLM Based ToolUncertainties of ExperimentsUncertainties of Experiments
S=PtW-1P+(∆k-HP)tU-1(∆k-HP)
Benchmark uncertainties from ICSBEP Handbook
Creation of uncertainties covariance matrices for experiments of interest
Use of uncertainty covariance matrices produced within the framework of ISTC 815 (IPPE) for experiments from ICSBEP Handbook
Evaluation of French experiments
Ui,j= δki δkj ρi,jδki , δkj – experimental uncertainties kc,i, ke,iρi,j – correlation coefficients (i=1,…I, j=1,…J)
EG UACSA Kick-off Meeting IRSN Fontenay-aux-Roses December 5, 2007 Page 7
Initial Data Set for the GGLM Based ToolInitial Data Set for the GGLM Based ToolCalculationCalculation--toto--Experiment DifferenceExperiment Difference
S=PtW-1P+(∆k-HP)tU-1(∆k-HP)
∆ki=(kc,i-ke,i)/ ke,i
APOLLO2-MORET 4 Validation Database (1800 experiments): Results obtained with JEF2.2, JEFF3.1, ENDF/B-VI.4 based 172-gr. cross sections
Comparison with MCNP and/or TRIPOLI-4 reference results for validation of calculational scheme
EG UACSA Kick-off Meeting IRSN Fontenay-aux-Roses December 5, 2007 Page 8
The GLLSM Based Tool Validation The GLLSM Based Tool Validation
Use of ISTC 815 results – biases and uncertainties produced by INDECS code (IPPE) for some MOX powder fabrication applications
Benchmarking within the framework of the EG on Uncertainty Analysis for Criticality Safety Validation
Comparison with TSURFER code (ORNL) results