Tools and applications for core design and shielding in fast reactors

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Technical Meeting on Liquid Metal Reactor Concepts: Core Design and Structural Materials, June 12-14, 2013 Tools and applications for core design and shielding in fast reactors Presented by: Reuven Rachamin

Outline Modeling of SFR cores using the Serpent-DYN3D code sequence Core shielding assessment for the design of FASTEF-MYRRHA Neutron shielding studies on an advanced Molten Salt Fast Reactor (MSFR) design

Modeling of SFR cores using the Serpent-DYN3D code sequence Reuven Rachamin, Emil Fridman

Introduction DYN3D nodal code Developed at HZDR for LWR application 3D full core steady-state and transient calculations Multi-group diffusion and SP3 solvers Square and hexagonal geometries Is being extended for SFR analysis Important tasks Selection of appropriate lattice code Establishment of a few-group XS generation procedure Candidate lattice codes Serpent Monte Carlo transport code HELIOS deterministic lattice transport code

Objectives To establish few-group XS generation procedure For SFR cores analysis with DYN3D Using Serpent To investigate the performance of Serpent-DYN3D sequence Via 2D full core modeling of SFR core

Reference SFR core Working horse MOX ESFR core design Proposed in the frame of the Collaborative Project on European Sodium Fast Reactor (CP ESFR) Control and Shutdown Device (CSD) Diverse Shutdown Device (DSD) Outer fuel sub-assembly 17.0 wt% Pu MOX Radial reflector Inner fuel sub-assembly 14.5 wt% Pu MOX Power density = 206 W/cm 3

Selection of few-group energy structure 0.16 100 Rel. STDEV - 33 energy groups Normalized neutron flux spectrum 0.12 0.08 0.04 large statistical uncertainties Neutron spectrum 10 1 0.1 Relative standard deviation, % 0.00 33 31 29 27 25 23 21 19 17 15 13 Energy group 11 9 7 5 3 1 0.01 33 group structure is not appropriate Very poor statistics in thermal energy groups 24 group structure is selected Groups 24 to 33 collapsed into a single thermal group

Few-group XS Generation - Super-cell Models Inner Fuel Sub-Assembly 14.5 wt% Pu MOX Outer Fuel Sub-Assembly 17.0 wt% Pu MOX CSD, DSD Model Radial Reflector Model

Results: k-eff Full Core 1.119 1.118 Serpent DYN3D (Serpent XS) ρ 40 30 1.117 20 1.116 10 k-eff 1.115 0 ρ, pcm 1.114-10 1.113-20 1.112-30 1.111-40 0 10 20 30 40 50 60 70 80 90 100 Burnup, GWd/T Max. rel. diff. = 32 pcm Ave. STDEV Serpent = 6 pcm

Core integral parameters Parameter Stage Serpent DYN3D k D, pcm Diff., pcm Serpent vs. DYN3D BOL -1062-1072 -10 EOL -723-723 0 CVR, pcm BOL 2821 2850 29 EOL 3654 3702 47 Total CDS worth, pcm BOL -4678-4629 49 Ave. STDEV k-eff (Serpent) = 6 pcm

Results: Power Distribution at BOC Control Rods Out 1.5 2.2 1.3 2.0 1.2 1.7 1.0 1.5 0.8 1.2 0.7 1.0 0.5 0.7 0.3 0.5 0.2 0.2 Serpent 0.0 Rel. diff., % Serpent vs. DYN3D 0.0 Ave. STDEV = 1.3 % Max. rel. diff. = 2.1 % Ave. rel. diff. = 0.6 %

Results: Power Distribution at EOC Control Rods Out 1.5 4.5 1.3 4.0 1.2 3.5 1.0 3.0 0.8 2.5 0.7 2.0 0.5 1.5 0.3 1.0 0.2 0.5 Serpent 0.0 Rel. diff., % Serpent vs. DYN3D 0.0 Ave. STDEV = 1.5 % Max. rel. diff. = 4.5 % Ave. rel. diff. = 1.4 %

Results: Power Distribution at BOC Control Rods In 2.2 5.3 2.0 4.7 1.7 4.1 1.5 3.5 1.2 2.9 1.0 2.4 0.7 1.8 0.5 1.2 0.2 0.6 Serpent 0.0 Rel. diff., % Serpent vs. DYN3D 0.0 Ave. STDEV = 2.1 % Max. rel. diff. = 5.2 % Ave. rel. diff. = 1.2 %

Outlook Serpent based few-group XS were used by DYN3D 2D full core nodal diffusion calculations of ESFR core DYN3D results were verified against full core Serpent MC solution Very good agreement between the codes was obtained DYN3D-SFR - required modifications Updating thermal-hydraulic module Development of thermal-mechanical module Validation and Verification Benchmarks on EBR and Phoenix experiments

Core shielding assessment for the design of FASTEF-MYRRHA Anna Ferrari Work done in the frame of the FP7 European Central Design Team (CDT) Project, which worked to design the FAst Spectrum Transmutation Experimental Facility (FASTEF), to support the construction of MYRRHA

Introduction The MYRRHA research facility (SCK CEN - Mol, Belgium): lead-bismuth eutectic (LBE) cooled reactor working both in critical and in sub-critical operation modes One of the many challenges of the MYRRHA design is: shielding of the accelerator tunnel and the reactor building

Shielding and activation analysis Objectives & Methodology Main goal: To develop a reliable methodology based on Monte Carlo method for the assessment of the main shielding and activation Analysis methodology: MCNPX CDT models of the MYRRHA critical and subcritical core characterize the neutron radiation fields on suitable surfaces around the core barrel build a complex source terms as an input for the FLUKA simulations FLUKA simulations detailed model for shielding and activation analysis using the MCNPX evaluated spectra as a source terms

Shielding and activation analysis The FLUKA detailed model Lateral shielding analysis: FLUKA detailed model from the core barrel to the shielding walls and the reactor cover conservative source term: critical operation mode Vertical shielding analysis: FLUKA detailed model from the core barrel to the reactor cover and the final wall beyond the last magnet of the proton beam line conservative source term: sub-critical operation mode

Results: Ambient dose equivalent rate Critical operation mode Sub-critical operation mode The results demonstrated a sufficient lateral radiation containment

Outlook A methodology based on combined use of two MC codes (MCNPX and FLUKA) has been developed a powerful tools for shielding optimization of the MYRRHA facility The developed methodology can address the following key points: optimization of the cover design of the reactor vessel optimization of the upper vertical part of the reactor building choice of structural materials close to the spallation target

Neutron shielding studies on an advanced Molten Salt Fast Reactor (MSFR) design Bruno Merk, Jörg Konheiser

Introduction Advantages of MSFR: online reprocessing and refueling no solid fuel production always negative feedback draining of the fuel Material damage in the MSFR is significantly high high neutron flux level in the core high share of neutrons above 1MeV fast neutron are born directly at the core vessel walls The neutron fluence in the core and outer vessels should be evaluated

Advanced MSFR model Modeling of a 2D advanced MSFR using the HELIOS unstructured mesh neutron transport code 1. Core region: mixed fuel-fertile salt 2. Blanket region: pure fertile salt 3. 20 mm-thick core vessel 4. 30 mm-thick outer vessel (safety related vessel) 5. 20 cm-thick graphite reflector poisoned with 5% natural boron 3000 MWth reactor based on the Thorium fuel cycle

Neutron flux distribution In the core and blanket regions n/cm 2 sec n/cm 2 sec Epithermal neutron flux (< 0.1 MeV) Fast neutron flux (> 0.1 MeV) Fast neutron flux: strongly bound to the core vessel Epithermal neutron flux: small change at the boundary between the core and blanket

Neutron flux distribution In the core vessel walls n/cm 2 sec n/cm 2 sec Fast neutron flux (> 1 MeV) Very high neutron flux leads to a very short time to reach the fluence limit value for materials under irradiation (10 20 n/cm 2 ) A failure of the core vessel has to be taken into account

Shielding optimization of the outer vessel The outer vessel has to fulfill a safety function Optimization strategy: stepwise increasing of the blanket region n/cm 2 sec

Optimized geometry Ferro Boron (FeB) shielding with improved transport approx. optimized thicker sleeve 60 cm+60 cm ferro boron+sleeve 60 cm+60 cm ferro boron 90 cm+30 cm ferro boron 120 cm 60 cm 30 cm 0 10 20 30 40 50 60 70 80 time [y] 320 cm 230 cm n/cm 2 sec ø330 cm ø522 cm Nickel based alloy sleeve (10 cm-thick) Fast neutron flux (> 1 MeV)

Outlook A 2D advanced MSFR model was analyzed Using the HELIOS deterministic lattice transport code High neutron flux was demonstrated in the core vessel walls The core vessel cannot carry any safety related function The outer vessel has to fulfill the safety function The outer vessel can be shielded by a well blanketed system keep the fluence within the limit of 10 20 neutrons/cm 2 for a reasonable operation of 80 years.

Thank you for your attention!