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Criticality Benchmark
Analysis of the HTTR
Annular Startup Core
Configurations
John Darrell Bess
R&D Engineer – Reactor Physics

ANS Winter Meeting
November 19, 2009
Objective
• The benchmark assessment of Japan’s High
  Temperature Engineering Test Reactor (HTTR) is
  one of the high priority activities for the Next
  Generation Nuclear Plant (NGNP) Project and Very
  High Temperature Reactor (VHTR) Program.

• Current efforts at the Idaho National Laboratory
  (INL) involve development of reactor physics
  benchmark models in conjunction with the
  International Reactor Physics Experiment
  Evaluation Project (IRPhEP) for use with verification
  and validation (V&V) methods.


                           2
IRPhEP Process (for the HTTR)




                3
HTTR Primary Design Specifications - I
Thermal Power                     30 MW
Outlet Coolant Temperature        850/950 ºC
Inlet Coolant Temperature         395 ºC
Primary Coolant Pressure          4 MPa
Core Structure                    Graphite
Equivalent Core Diameter          2.3 m
Effective Core Height             2.9 m                                                                       Air cooler
                                             3                                 Crane
Average Power Density             2.5 W/cm                                                                          Refueling
                                                                                                                    machine
Fuel                              UO2
   Enrichment                     3 to 10 wt. %
                                                                                                                       Spent fuel
                                  6 wt. % (average)                                                                    storage pool
   Fuel Type                      Pin-in-Block Type
                                  Coated Fuel Particles
   Burn-Up Period (EFPD)          660 days                           Reactor
                                                                    pressure
   Fuel Block                     Graphite Block                      vessel
Coolant Material                  Helium Gas                    Intermediate
Flow of Direction in Core         Downward                    heat exchanger
Reflector Thickness                                             Pressurized
                                                                water cooler
   Top                            1.16 m
   Side                           0.99 m
   Bottom                         1.16 m
Number of Fuel Assemblies         150                                                  Reactor containment vessel
Number of Fuel Columns            30
Number of Pairs of Control Rods
   In Core                        7
   In Reflector
Plant Lifetime
                                  9
                                  20 years
                                                                        JAEA’s HTTR Facility at
                                                                         the Oarai Research and
                                                                          Development Center
                                                          4
HTTR Primary Design Specifications - II




                   5
Fuel Specifications of the HTTR - II




                  6
Fuel and Burnable Poison Loading


  The top                   The bottom
 number of                    number
 each block                represents the
 represents                boron content
the uranium               in the burnable
enrichment.               poison pellets.




                7
Fully-Loaded Core Configuration




                8
Dummy Fuel Columns

IG-11 graphite
blocks with higher
impurity content
than the IG-110 fuel
blocks were
initially placed in
the core




                       9
HTTR
Fuel Loading




               10
Thin Annular 19-Fuel-Column Core




                     Central Pattern
                11
Thin Annular 21-Fuel-Column Core




                     Flat-Standard Pattern
                12
Thick Annular 24-Fuel-Column Core




                     Flat-Standard Pattern
                13
Thick Annular 24-Fuel-Column Core




                     Radial Reflectors Pattern
                14
Thick Annular 27-Fuel-Column Core




                     Flat-Standard Pattern
                15
Uncertainty Analysis - I
• The uncertainty                 • All random
  analysis consisted of             uncertainties are
  the perturbation of the           treated as 25%
  benchmark model                   systematic
  parameters and a                   – The large number of
  comparison of the                    components in the
  computed eigenvalues                 reactor tend to reduce
  to determine the                     random uncertainties
  effective uncertainty in             to negligible quantities
  the model.                         – This preserves some
                                       of the uncertainty in
                                       the HTTR model




                             16
Uncertainty Analysis - II
•   Experimental measurements               •   Computational analyses
     – Isothermal temperature                   – Room return effects
     – Control rod positions                    – Stochastic modeling of
                                                  TRISO particles
•   Geometric properties
                                                – Instrumentation bias
     –   Diameter
     –   Height
     –   Thickness
     –   Pitch
•   Compositional variations
     –   Fuel enrichment
     –   Material density
     –   Impurity content
     –   Boron absorber content
     –   Isotopic abundance of boron
     –   Clad composition
     –   Fuel Mass



                                       17
Uncertainty Results
• The most significant contributions to the overall uncertainty
  include the following:
   – Impurities in the IG-110 graphite blocks,
   – Impurities in the PGX graphite reflector blocks, and
   – Impurities in the IG-11 graphite dummy blocks.
• Other ICSBEP/IRPhEP benchmarks demonstrate similar
  sensitivities to graphite impurities.
• The influence of random uncertainty is negligible: <0.0005 Δkeff
   – Dominant uncertainties are systematic in nature.
   – Better characterization of these parameters will reduce the
     overall uncertainty.
• A calculation bias of +2-3% still exists




                                18
Eigenvalue Results
                       Benchmark         Calculated
         Fuel             (B)               (K)
Core           CRs                                    (K-B)/B%
       Columns
                      keff   ±    σ         keff

 1       19    C     1.0048 ± 0.0103      1.0283        2.33

 2       21    FS    1.0040 ± 0.0099      1.0304        2.63

 3       24    FS    1.0035 ± 0.0085      1.0260        2.24

 4       24    RR    1.0032 ± 0.0081      1.0296        2.63

 5       27    FS    1.0029 ± 0.0078      1.0225        1.96

 6       30    FS    1.0025 ± 0.0073      1.0248        2.13


                                      MCNP5 + ENDF/B-VII.0
                             19
Annular Core Benchmarking Effort
              1.0350
                                                         Benchmark    Calculated
              1.0300

              1.0250

              1.0200
keff (± 1σ)




              1.0150

              1.0100

              1.0050

              1.0000

              0.9950

              0.9900
                       19   21           24         24           27          30
                                 Number of Loaded Fuel Columns

                                              20
Points of Interest
• Calculated eigenvalues are within 1% of the
  expected benchmark experiment values but the
  uncertainties are on the order of 0.75 to 1% (1σ).
   – This model is based on available public HTTR data;
     much of the HTTR data is proprietary and
     unpublished because the reactor is currently in
     operation.
   – The inclusion of more detailed HTTR data should
     reduce the uncertainty in the benchmark.
      • Equivalent boron content in graphite
      • Measured uncertainties vs. manufacturing tolerances




                             21
Current and Future Benchmark Analyses

• Reactivity measurements from the initial start-up core physics
  tests
   – Isothermal temperature coefficient
   – Axial reaction rate distribution
   – Kinetics measurements
   – Shutdown margin
   – Control rod worth
   – Excess reactivity
• Hot zero-power critical
• Rise-to-power tests
• Irradiation tests
• Radiation shielding
• Safety demonstration tests



                               22
Acknowledgments
• Funding for the HTTR benchmark was provided by
  the INL VHTR Program.
• Work was performed at the INL for th US DOE under
  contract number DE-AC07-05ID14517.
• The author would like to acknowledge the time and
  expertise provided by N. Fujimoto from the Japan
  Atomic Energy Agency; Luka Snoj from the Jožef
  Stefan Institute; Atsushi Zukeran, acting as Senior
  Reactor Physics Consultant; and Blair Briggs,
  Barbara Dolphin, Dave Nigg, Jim Sterbentz, and
  Chris White from the INL, for review, preparation,
  and presentation of the HTTR benchmarks.
• Complete benchmarks available in the March 2010
  Edition of the IRPhEP Handbook:
   – HTTR-GCR-RESR-001 and -002.

                          23
Questions?




             24
25
Extra Slides




               26
Primary References
• N. Fujimoto, K. Yamashita, N. Nojiri, M. Takeuchi, and S.
  Fujisaki, “Annular Core Experiments in HTTR’s Start-Up Core
  Physics Tests,” Nucl. Sci. Eng., 150, 310-321 (2005).
• “Evaluation of high temperature gas cooled reactor
  performance: Benchmark analysis related to initial testing of
  the HTTR and HTR-10,” IAEA-TECDOC-1382, International
  Atomic Energy Agency, Vienna, November 2003.
• S. Shiozawa, S. Fujikawa, T. Iyoku, K. Kunitomi, and Y.
  Tachibana, “Overview of HTTR Design Features,” Nucl. Eng.
  Des., 233:11-21 (2004).
• N. Nojiri, S. Shimakawa, N. Fujimoto, and M. Goto,
  “Characteristic Test of Initial HTTR Core,” Nucl. Eng. Des., 233:
  283-290 (2004).




                                27
IRPhEP Handbook – 2009 Edition
• 15 Contributing Countries
• Data from 36 Experimental
  Series – 21 Reactor Facilities
• Data from 7 reactor types – Up
  to 8 types of measurements
• Data from 33 out of the 36
  series are published as
  approved benchmarks
• Data from 3 out of the 36 series
  are published in draft form
• http://nuclear.inl.gov/irphep/




                               28
Fully-Loaded Control Rod Positions




                29
HTTR Instrumentation




                30
Fuel Specifications of the HTTR - I
Fuel Kernel
                                                                         Fuel Rod
  Material                                        UO2
                                                                           Outer Diameter (cm)                                      3.4
  Diameter (µm)                                   600
                                                                           Sleeve Thickness (mm)                                   3.75
  Density (g/cm3)                                10.41                     Length (cm)                                             54.6

Coated Fuel Particle                                                       Number of Fuel Compacts                                  14

  Type / Material                               TRISO                      Number of Rods in a Block                              31 / 33

  Diameter (µm)                                   920                      Graphite Sleeve

  Impurity (ppm)                         <3 (Boron Equivalent)                Type                                               Cylinder
                                                                              Material                                        IG-110 Graphite
Fuel Compact
                                                                              Impurity (ppm)                               <1 (Boron Equivalent)
  Type                                      Hollow Cylinder
                                                                              Length (cm)                                           58
  Material                             CFPs, Binder, and Graphite
                                                                              Gap Width between Compact and Sleeve (mm)            0.25
  Outer / Inner Diameter (m)                    2.6 / 1.0
  Length (cm)                                     3.9                    Graphite Block

  Packing Fraction of CFPs (vol. %)                30                      Type / Configuration                           Pin-in-Block / Hexagonal

  Density of Graphite Matrix (g/cm3)              1.7                      Material                                           IG-110 graphite

  Impurity in Graphite Matrix (ppm)     <1.2 (Boron Equivalent)            Width across Flats (cm)                                  36
                                                                           Height (cm)                                              58
                                                                           Fuel Hole Diameter (cm)                                  4.1
                                                                                          3
                                                                           Density (g/cm )                                         1.75
                                                                           Impurity (ppm)                                  <1 (Boron Equivalent)




                                                                    31
TRISO Particle




                 32
Fuel Element




               33
Burnable Poisons




               34
Fuel Blocks




              35
Dummy Blocks




               36
Control Rods




               37
Control Rod Column




               38
Instrumentation
Column




                  39
Replaceable
Reflectors




              40
MCNP View




            41
Possible Fix: HTTR Fuel Loading
• The benchmark model was adjusted to conserve UO2 fuel
  mass.
   – Initially thought to be U metal mass. It is U metal mass.
• TRISO fuel parameter over specified:
   – Kernel diameter, density, packing fraction, etc.
• The number of TRISO particles was reduced from ~13,000 to
  ~11,500 per compact (14 per fuel rod)
   – Reduced the nominal packing fraction.
       • (~30  26.4%)
   – Preserved all other specified parameters.
   – Conserved nominal fuel mass per rod.
       • 188.58 g
       • Reduced a computational bias of ~ +2% ∆keff


                                 42

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HTTR - ANSWM 2009

  • 1. Criticality Benchmark Analysis of the HTTR Annular Startup Core Configurations John Darrell Bess R&D Engineer – Reactor Physics ANS Winter Meeting November 19, 2009
  • 2. Objective • The benchmark assessment of Japan’s High Temperature Engineering Test Reactor (HTTR) is one of the high priority activities for the Next Generation Nuclear Plant (NGNP) Project and Very High Temperature Reactor (VHTR) Program. • Current efforts at the Idaho National Laboratory (INL) involve development of reactor physics benchmark models in conjunction with the International Reactor Physics Experiment Evaluation Project (IRPhEP) for use with verification and validation (V&V) methods. 2
  • 3. IRPhEP Process (for the HTTR) 3
  • 4. HTTR Primary Design Specifications - I Thermal Power 30 MW Outlet Coolant Temperature 850/950 ºC Inlet Coolant Temperature 395 ºC Primary Coolant Pressure 4 MPa Core Structure Graphite Equivalent Core Diameter 2.3 m Effective Core Height 2.9 m Air cooler 3 Crane Average Power Density 2.5 W/cm Refueling machine Fuel UO2 Enrichment 3 to 10 wt. % Spent fuel 6 wt. % (average) storage pool Fuel Type Pin-in-Block Type Coated Fuel Particles Burn-Up Period (EFPD) 660 days Reactor pressure Fuel Block Graphite Block vessel Coolant Material Helium Gas Intermediate Flow of Direction in Core Downward heat exchanger Reflector Thickness Pressurized water cooler Top 1.16 m Side 0.99 m Bottom 1.16 m Number of Fuel Assemblies 150 Reactor containment vessel Number of Fuel Columns 30 Number of Pairs of Control Rods In Core 7 In Reflector Plant Lifetime 9 20 years JAEA’s HTTR Facility at the Oarai Research and Development Center 4
  • 5. HTTR Primary Design Specifications - II 5
  • 6. Fuel Specifications of the HTTR - II 6
  • 7. Fuel and Burnable Poison Loading The top The bottom number of number each block represents the represents boron content the uranium in the burnable enrichment. poison pellets. 7
  • 9. Dummy Fuel Columns IG-11 graphite blocks with higher impurity content than the IG-110 fuel blocks were initially placed in the core 9
  • 11. Thin Annular 19-Fuel-Column Core Central Pattern 11
  • 12. Thin Annular 21-Fuel-Column Core Flat-Standard Pattern 12
  • 13. Thick Annular 24-Fuel-Column Core Flat-Standard Pattern 13
  • 14. Thick Annular 24-Fuel-Column Core Radial Reflectors Pattern 14
  • 15. Thick Annular 27-Fuel-Column Core Flat-Standard Pattern 15
  • 16. Uncertainty Analysis - I • The uncertainty • All random analysis consisted of uncertainties are the perturbation of the treated as 25% benchmark model systematic parameters and a – The large number of comparison of the components in the computed eigenvalues reactor tend to reduce to determine the random uncertainties effective uncertainty in to negligible quantities the model. – This preserves some of the uncertainty in the HTTR model 16
  • 17. Uncertainty Analysis - II • Experimental measurements • Computational analyses – Isothermal temperature – Room return effects – Control rod positions – Stochastic modeling of TRISO particles • Geometric properties – Instrumentation bias – Diameter – Height – Thickness – Pitch • Compositional variations – Fuel enrichment – Material density – Impurity content – Boron absorber content – Isotopic abundance of boron – Clad composition – Fuel Mass 17
  • 18. Uncertainty Results • The most significant contributions to the overall uncertainty include the following: – Impurities in the IG-110 graphite blocks, – Impurities in the PGX graphite reflector blocks, and – Impurities in the IG-11 graphite dummy blocks. • Other ICSBEP/IRPhEP benchmarks demonstrate similar sensitivities to graphite impurities. • The influence of random uncertainty is negligible: <0.0005 Δkeff – Dominant uncertainties are systematic in nature. – Better characterization of these parameters will reduce the overall uncertainty. • A calculation bias of +2-3% still exists 18
  • 19. Eigenvalue Results Benchmark Calculated Fuel (B) (K) Core CRs (K-B)/B% Columns keff ± σ keff 1 19 C 1.0048 ± 0.0103 1.0283 2.33 2 21 FS 1.0040 ± 0.0099 1.0304 2.63 3 24 FS 1.0035 ± 0.0085 1.0260 2.24 4 24 RR 1.0032 ± 0.0081 1.0296 2.63 5 27 FS 1.0029 ± 0.0078 1.0225 1.96 6 30 FS 1.0025 ± 0.0073 1.0248 2.13 MCNP5 + ENDF/B-VII.0 19
  • 20. Annular Core Benchmarking Effort 1.0350 Benchmark Calculated 1.0300 1.0250 1.0200 keff (± 1σ) 1.0150 1.0100 1.0050 1.0000 0.9950 0.9900 19 21 24 24 27 30 Number of Loaded Fuel Columns 20
  • 21. Points of Interest • Calculated eigenvalues are within 1% of the expected benchmark experiment values but the uncertainties are on the order of 0.75 to 1% (1σ). – This model is based on available public HTTR data; much of the HTTR data is proprietary and unpublished because the reactor is currently in operation. – The inclusion of more detailed HTTR data should reduce the uncertainty in the benchmark. • Equivalent boron content in graphite • Measured uncertainties vs. manufacturing tolerances 21
  • 22. Current and Future Benchmark Analyses • Reactivity measurements from the initial start-up core physics tests – Isothermal temperature coefficient – Axial reaction rate distribution – Kinetics measurements – Shutdown margin – Control rod worth – Excess reactivity • Hot zero-power critical • Rise-to-power tests • Irradiation tests • Radiation shielding • Safety demonstration tests 22
  • 23. Acknowledgments • Funding for the HTTR benchmark was provided by the INL VHTR Program. • Work was performed at the INL for th US DOE under contract number DE-AC07-05ID14517. • The author would like to acknowledge the time and expertise provided by N. Fujimoto from the Japan Atomic Energy Agency; Luka Snoj from the Jožef Stefan Institute; Atsushi Zukeran, acting as Senior Reactor Physics Consultant; and Blair Briggs, Barbara Dolphin, Dave Nigg, Jim Sterbentz, and Chris White from the INL, for review, preparation, and presentation of the HTTR benchmarks. • Complete benchmarks available in the March 2010 Edition of the IRPhEP Handbook: – HTTR-GCR-RESR-001 and -002. 23
  • 25. 25
  • 27. Primary References • N. Fujimoto, K. Yamashita, N. Nojiri, M. Takeuchi, and S. Fujisaki, “Annular Core Experiments in HTTR’s Start-Up Core Physics Tests,” Nucl. Sci. Eng., 150, 310-321 (2005). • “Evaluation of high temperature gas cooled reactor performance: Benchmark analysis related to initial testing of the HTTR and HTR-10,” IAEA-TECDOC-1382, International Atomic Energy Agency, Vienna, November 2003. • S. Shiozawa, S. Fujikawa, T. Iyoku, K. Kunitomi, and Y. Tachibana, “Overview of HTTR Design Features,” Nucl. Eng. Des., 233:11-21 (2004). • N. Nojiri, S. Shimakawa, N. Fujimoto, and M. Goto, “Characteristic Test of Initial HTTR Core,” Nucl. Eng. Des., 233: 283-290 (2004). 27
  • 28. IRPhEP Handbook – 2009 Edition • 15 Contributing Countries • Data from 36 Experimental Series – 21 Reactor Facilities • Data from 7 reactor types – Up to 8 types of measurements • Data from 33 out of the 36 series are published as approved benchmarks • Data from 3 out of the 36 series are published in draft form • http://nuclear.inl.gov/irphep/ 28
  • 29. Fully-Loaded Control Rod Positions 29
  • 31. Fuel Specifications of the HTTR - I Fuel Kernel Fuel Rod Material UO2 Outer Diameter (cm) 3.4 Diameter (µm) 600 Sleeve Thickness (mm) 3.75 Density (g/cm3) 10.41 Length (cm) 54.6 Coated Fuel Particle Number of Fuel Compacts 14 Type / Material TRISO Number of Rods in a Block 31 / 33 Diameter (µm) 920 Graphite Sleeve Impurity (ppm) <3 (Boron Equivalent) Type Cylinder Material IG-110 Graphite Fuel Compact Impurity (ppm) <1 (Boron Equivalent) Type Hollow Cylinder Length (cm) 58 Material CFPs, Binder, and Graphite Gap Width between Compact and Sleeve (mm) 0.25 Outer / Inner Diameter (m) 2.6 / 1.0 Length (cm) 3.9 Graphite Block Packing Fraction of CFPs (vol. %) 30 Type / Configuration Pin-in-Block / Hexagonal Density of Graphite Matrix (g/cm3) 1.7 Material IG-110 graphite Impurity in Graphite Matrix (ppm) <1.2 (Boron Equivalent) Width across Flats (cm) 36 Height (cm) 58 Fuel Hole Diameter (cm) 4.1 3 Density (g/cm ) 1.75 Impurity (ppm) <1 (Boron Equivalent) 31
  • 41. MCNP View 41
  • 42. Possible Fix: HTTR Fuel Loading • The benchmark model was adjusted to conserve UO2 fuel mass. – Initially thought to be U metal mass. It is U metal mass. • TRISO fuel parameter over specified: – Kernel diameter, density, packing fraction, etc. • The number of TRISO particles was reduced from ~13,000 to ~11,500 per compact (14 per fuel rod) – Reduced the nominal packing fraction. • (~30  26.4%) – Preserved all other specified parameters. – Conserved nominal fuel mass per rod. • 188.58 g • Reduced a computational bias of ~ +2% ∆keff 42