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Assessment of Zero Power
Critical Experiments and
Needs for a Fission Surface
Power System

James Parry
John Bess
Idaho National Laboratory
Brad Rearden
Oak Ridge National Laboratory
Gary Harms
Sandia National Laboratories

Nuclear and Emerging Technologies for Space
ANS Annual Meeting, Atlanta, GA
June 14-19, 2009
Objective

Assess current computational
 modeling capabilities and
 associated biases for the design
 of the lunar Fission Surface Power
 system to minimize necessary
 nuclear experiments and tests



                                      2
Fission Surface Power (FSP) System

Lunar outpost
 power supply
20 – 50 kW
<8 yr operation
Ready for launch
 by 2020
Provide a power-
 rich mission
 environment


                                     3
Experimental Needs
Non-nuclear performance tests
  ¤ Steady-state, transient, & system response
  ¤ Verify and validate design
  ¤ Use in neutronics calculations
Neutronics
  ¤ Critical mass, fission rate, control drum worth,
    accident scenarios, reactivity effects
  ¤ Validate with existing criticality data
Desire to minimize testing and validate
 system performance within acceptable risk

                                                       4
Evaluation of Benchmark Data
International Handbook of Evaluated
 Criticality Safety Benchmark
 Experiments
Ideal benchmark would be a fast-
 spectrum, NaK-cooled, SS-clad, HEU-
 O2, Be-reflected system
Handbook contains a conglomerate of
 experiments
  ¤ ZPPR-20 – mockup of SP-100
  ¤ 4 configurations


                                       5
MCNP Bias Assessment

Select critical experiments
 modeled in MCNP v.5.1.40
ENDF/B-V.0, -VI.6, -VII.0 cross
 sections
Assess the calculated eigenvalues
 and the expected benchmark
 eigenvalues from the experiments

                                     6
Average Bias ( k)
                                                                                ∆
              HE
                U
                     Fa
                        st




                                                   -0.06
                                                           -0.04
                                                                   -0.02
                                                                           0.00
                                                                                  0.02
                                                                                         0.04
                                                                                                0.06
                                                                                                       0.08
                           S   pe
              IE                  c   tru
                U                        m
                     Fa
                        s   tS
                              pe
        HE                       c
          U                           tru
                                         m
                 M
                  ix
                     ed
        In                   Sp
             ter               ec
                m                     tru
                                         m
                    ed
                      iat
                         e
                                                                                                              ENDF/B-V




                             Sp
                                ec
               Th                  tr   um
                  erm
                        al
                             Sp
                                ec
                                   tru
                                       m
                                                                                                              ENDF/B-VI




Be
   ryll
        ium                 Su
                               bc
              Re                  r   iti
                fl e                      ca
                    cto                        l
                         r/M
                                                                                                              ENDF/B-VII




                              od
                                 er
                                    ato
                    St
                       ee               r
                          lR
                             ef
                                lec
                                    ted
                        B4
                           C
                              Co
                                  ntr
                                      ol
7
Results from MCNP Bias Assessment

Some insight into effects from major
 components
  ¤ Definitive conclusions not possible due to
    mixture of experiment designs
Some improvement with ENDF/B-VII.0
 data, but not for IEU fast-spectrum and
 subcritical experiments
  ¤ Need to reduce uncertainty in subcritical
    experiments for validation of launch
    accident configurations

                                                 8
Beryllium Reflector Bias Assessment

Assessment of worth of beryllium
 using a selection of benchmarks
Evaluated for both fast- and
 mixed-neutron systems
  ¤ HEU-MET-FAST-058
  ¤ HEU-MET-FAST-066
  ¤ MIX-MET-FAST-007

                                      9
10
11
Results from Beryllium Bias Assessment

Bias increases as reflector worth
 increases
  ¤ Up to 0.5% ∆k/k in HEU systems
  ¤ Up to 1.0% ∆k/k in mix-fuel systems
Implies a cross section bias
  ¤ Improvement in cross section data
    for Be should improve analysis
    capabilities of the FSP

                                          12
ZPPR-20 Benchmark Data
 ZPPR-20C(105)
   ¤ HEU-MET-FAST-075
   ¤ Critical Core
 ZPPR-20D(129)
   ¤ HEU-MET-MIXED-012
   ¤ Critical Water Immersion
     Accident
 ZPPR-20D(136)
   ¤ SUB-HEU-MET-MIXED-001
   ¤ Subcritical Water
     Immersion Accident
 ZPPR-20E(160)
   ¤ SUB-HEU-MET-FAST-001
   ¤ Subcritical Earth Burial
     Accident


                                13
TSUNAMI Analysis
Tools for Sensitivity and Uncertainty
 Analysis Methodology Implementation in
 Three Dimensions (TSUNAMI-3D)
  ¤ Comprehensive analysis of relative deviation of
    keff due to cross-section covariance data
TSUNAMI-IP (Indices and Parameters)
  ¤ Comparison of TSUNAMI-3D analyses for
    multiple configurations
  ¤ Compute relational parameters between two
    configurations to assess a degree of simularity
      i.e. proposed designs to existing experimental data



                                                             14
TSUNAMI-3D Results for FSP Model

                Total                          Component
Covariance                    Major
              Uncertainty                      Uncertainty
 Library                    Components
               (%Δk/k)                          (%Δk/k)a
                              235U(n,   γ)   1.9576 0.0006
                               235U(ν-bar)   0.5651 0.0000
                                 Be(n, n)    0.3559 0.0023
 SCALE 6         2.0872        235U(n, n’)   0.2261 0.0009
                            235U(n, fission) 0.1864 0.0000
                              235U(n, n) to
                                235U(n, γ)   -0.1297   0.0003
     a   Negative value represents anticorrelations
         between two reactions in the covariance data      15
Correlation Coefficient, ck

Rigorous uncertainty analysis
  ¤ Propagates tabulated cross-section
    uncertainty information to keff
  ¤ Energy-dependent sensitivity coefficients
Represents estimate of the correlated
 uncertainty between systems
Measures degree of similarity of the
 systems in terms of relative
 uncertainty

                                                16
TSUNAMI-3D Results

                   SCALE 6 Covariance Data
   Model                       Cross-Section
                     ck
                              Uncertainty (%)
ZPPR-20C(105)   0.9753 ± 0.0036    2.0684
ZPPR-20D(129) 0.9453 ± 0.0021      1.7137
ZPPR-20D(136) 0.9327 ± 0.0020      1.6520
ZPPR-20E(160)   0.9323 ± 0.0041    1.5943

                                            17
Penalty Assessment (TSUNAMI-IP)
Determine additional margins of uncertainty
 where experimental information is
 unavailable
Provides added measure of safety where
 validation coverage is lacking
Covariance data uncertainty reduced to 0.29
 %∆k/k, which is mostly from the Be(n,n)
 reaction uncertainty
Can be used to assess bias and bias
 uncertainty for additional margins in
 subcriticality experiments to account for
 lack of experimental coverage for beryllium


                                               18
Future Efforts
Utilize TSUNAMI to analyze the benchmarks
 identified in the MCNP study
Apply advanced bias techniques with
 SCALE 6 TSURFER
Evaluate reactor physics data for the ZPPR-
 20C benchmark
  ¤ Control rod worth, material worth, temperature
    effects, reaction rates
  ¤ MCNP and SCALE 6 TSAR
Perturbation analysis of key reactor
 parameters to reduce uncertainties in
 margin prediction
Improve uranium and beryllium cross
 section data
                                                     19
Conclusions

ENDF/B-VII data reduced
 eigenvalues biases except for
 subcritical and IEU benchmarks
Beryllium reflector has a bias
 trend for increasing reflector
 worth
ZPPR-20 data should preclude the
 necessity of a FSP cold critical
 experiment
                                    20
Acknowledgments

Support and guidance provided by
 NASA Marshall Space Flight
 Center and NE-34.
Technical advice and guidance
 provided by Harold McFarlane, Jim
 Werner, and Steve Aumeier at the
 INL and Paul Turinsky at NCSU.


                                 21
This work was performed under the management of the Department of Energy, Office of Nuclear
   Energy under DOE Idaho Operations Office Contract DE-AC07-05ID14517, for the NASA  22
  Exploration Technology Development Program as part of the Fission Surface Power Project.

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FSP - NETS 2009

  • 1. Assessment of Zero Power Critical Experiments and Needs for a Fission Surface Power System James Parry John Bess Idaho National Laboratory Brad Rearden Oak Ridge National Laboratory Gary Harms Sandia National Laboratories Nuclear and Emerging Technologies for Space ANS Annual Meeting, Atlanta, GA June 14-19, 2009
  • 2. Objective Assess current computational modeling capabilities and associated biases for the design of the lunar Fission Surface Power system to minimize necessary nuclear experiments and tests 2
  • 3. Fission Surface Power (FSP) System Lunar outpost power supply 20 – 50 kW <8 yr operation Ready for launch by 2020 Provide a power- rich mission environment 3
  • 4. Experimental Needs Non-nuclear performance tests ¤ Steady-state, transient, & system response ¤ Verify and validate design ¤ Use in neutronics calculations Neutronics ¤ Critical mass, fission rate, control drum worth, accident scenarios, reactivity effects ¤ Validate with existing criticality data Desire to minimize testing and validate system performance within acceptable risk 4
  • 5. Evaluation of Benchmark Data International Handbook of Evaluated Criticality Safety Benchmark Experiments Ideal benchmark would be a fast- spectrum, NaK-cooled, SS-clad, HEU- O2, Be-reflected system Handbook contains a conglomerate of experiments ¤ ZPPR-20 – mockup of SP-100 ¤ 4 configurations 5
  • 6. MCNP Bias Assessment Select critical experiments modeled in MCNP v.5.1.40 ENDF/B-V.0, -VI.6, -VII.0 cross sections Assess the calculated eigenvalues and the expected benchmark eigenvalues from the experiments 6
  • 7. Average Bias ( k) ∆ HE U Fa st -0.06 -0.04 -0.02 0.00 0.02 0.04 0.06 0.08 S pe IE c tru U m Fa s tS pe HE c U tru m M ix ed In Sp ter ec m tru m ed iat e ENDF/B-V Sp ec Th tr um erm al Sp ec tru m ENDF/B-VI Be ryll ium Su bc Re r iti fl e ca cto l r/M ENDF/B-VII od er ato St ee r lR ef lec ted B4 C Co ntr ol 7
  • 8. Results from MCNP Bias Assessment Some insight into effects from major components ¤ Definitive conclusions not possible due to mixture of experiment designs Some improvement with ENDF/B-VII.0 data, but not for IEU fast-spectrum and subcritical experiments ¤ Need to reduce uncertainty in subcritical experiments for validation of launch accident configurations 8
  • 9. Beryllium Reflector Bias Assessment Assessment of worth of beryllium using a selection of benchmarks Evaluated for both fast- and mixed-neutron systems ¤ HEU-MET-FAST-058 ¤ HEU-MET-FAST-066 ¤ MIX-MET-FAST-007 9
  • 10. 10
  • 11. 11
  • 12. Results from Beryllium Bias Assessment Bias increases as reflector worth increases ¤ Up to 0.5% ∆k/k in HEU systems ¤ Up to 1.0% ∆k/k in mix-fuel systems Implies a cross section bias ¤ Improvement in cross section data for Be should improve analysis capabilities of the FSP 12
  • 13. ZPPR-20 Benchmark Data  ZPPR-20C(105) ¤ HEU-MET-FAST-075 ¤ Critical Core  ZPPR-20D(129) ¤ HEU-MET-MIXED-012 ¤ Critical Water Immersion Accident  ZPPR-20D(136) ¤ SUB-HEU-MET-MIXED-001 ¤ Subcritical Water Immersion Accident  ZPPR-20E(160) ¤ SUB-HEU-MET-FAST-001 ¤ Subcritical Earth Burial Accident 13
  • 14. TSUNAMI Analysis Tools for Sensitivity and Uncertainty Analysis Methodology Implementation in Three Dimensions (TSUNAMI-3D) ¤ Comprehensive analysis of relative deviation of keff due to cross-section covariance data TSUNAMI-IP (Indices and Parameters) ¤ Comparison of TSUNAMI-3D analyses for multiple configurations ¤ Compute relational parameters between two configurations to assess a degree of simularity  i.e. proposed designs to existing experimental data 14
  • 15. TSUNAMI-3D Results for FSP Model Total Component Covariance Major Uncertainty Uncertainty Library Components (%Δk/k) (%Δk/k)a 235U(n, γ) 1.9576 0.0006 235U(ν-bar) 0.5651 0.0000 Be(n, n) 0.3559 0.0023 SCALE 6 2.0872 235U(n, n’) 0.2261 0.0009 235U(n, fission) 0.1864 0.0000 235U(n, n) to 235U(n, γ) -0.1297 0.0003 a Negative value represents anticorrelations between two reactions in the covariance data 15
  • 16. Correlation Coefficient, ck Rigorous uncertainty analysis ¤ Propagates tabulated cross-section uncertainty information to keff ¤ Energy-dependent sensitivity coefficients Represents estimate of the correlated uncertainty between systems Measures degree of similarity of the systems in terms of relative uncertainty 16
  • 17. TSUNAMI-3D Results SCALE 6 Covariance Data Model Cross-Section ck Uncertainty (%) ZPPR-20C(105) 0.9753 ± 0.0036 2.0684 ZPPR-20D(129) 0.9453 ± 0.0021 1.7137 ZPPR-20D(136) 0.9327 ± 0.0020 1.6520 ZPPR-20E(160) 0.9323 ± 0.0041 1.5943 17
  • 18. Penalty Assessment (TSUNAMI-IP) Determine additional margins of uncertainty where experimental information is unavailable Provides added measure of safety where validation coverage is lacking Covariance data uncertainty reduced to 0.29 %∆k/k, which is mostly from the Be(n,n) reaction uncertainty Can be used to assess bias and bias uncertainty for additional margins in subcriticality experiments to account for lack of experimental coverage for beryllium 18
  • 19. Future Efforts Utilize TSUNAMI to analyze the benchmarks identified in the MCNP study Apply advanced bias techniques with SCALE 6 TSURFER Evaluate reactor physics data for the ZPPR- 20C benchmark ¤ Control rod worth, material worth, temperature effects, reaction rates ¤ MCNP and SCALE 6 TSAR Perturbation analysis of key reactor parameters to reduce uncertainties in margin prediction Improve uranium and beryllium cross section data 19
  • 20. Conclusions ENDF/B-VII data reduced eigenvalues biases except for subcritical and IEU benchmarks Beryllium reflector has a bias trend for increasing reflector worth ZPPR-20 data should preclude the necessity of a FSP cold critical experiment 20
  • 21. Acknowledgments Support and guidance provided by NASA Marshall Space Flight Center and NE-34. Technical advice and guidance provided by Harold McFarlane, Jim Werner, and Steve Aumeier at the INL and Paul Turinsky at NCSU. 21
  • 22. This work was performed under the management of the Department of Energy, Office of Nuclear Energy under DOE Idaho Operations Office Contract DE-AC07-05ID14517, for the NASA 22 Exploration Technology Development Program as part of the Fission Surface Power Project.