Benchmark Experiment for Fast Neutron Spectrum Potassium Worth Validation in Space Power Reactor Design

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Benchmark Experiment for Fast Neutron Spectrum Potassium Worth Validation in Space Power Reactor Design John D. Bess Idaho National Laboratory NETS 2015 Albuquerque, NM February 23-26, 2015 This paper was prepared at Idaho National Laboratory for the U.S. Department of Energy under Contract Number (DE-AC07-05ID14517)

Acknowledgments Experimenter John T. Mihalczo ORNL Reviewers J. Blair Briggs INL o Retired Margaret Marshall CSNR Yevgeniy Rozhikhin IPPE Scientists, engineers, and administrative support from over 24 countries participating in the ICSBEP and IRPhEP 2

Outline Historical Background What is the IRPhEP ORCEF Potassium Worth Measurement Evaluation and Results Path Forward Conclusions 3

HISTORICAL BACKGROUND 4

Oak Ridge Critical Experiments Facility Support criticality safety at Y-12 Storage, casting, and handling Verification of calculation methods and cross section data Support various reactor designs MPRE SNAP Fast Burst Reactors 5

ORCEF Vertical Assembly Machine 6

Medium Power Reactor Experiment (MPRE) Space Reactor Design 1 MW(t), 140 kw(e) Stainless Steel Potassium Cooled Rankine Cycle Experiment Results Validation of Reactor Calculations Validation of Reactor Physics Methods Demonstrated Good Power Distribution, Nuclear Stability, and Control Characteristics ORNL- 4048 7

Previously Evaluated SCCA Experiments Experiments Tight-Pack-Array, Graphite Reflected 1.506-cm-Array, Graphite Reflected 1.506-cm-Array and 7-Tube Clusters, Beryllium Reflected Additional Data 93.2 % 235 UO 2 Type 347 SS Clad Various Reactor Physics Measurements 8

Oralloy Experiments and Benchmarks Bare Cylinders HEU-MET-FAST-051 Beryllium Reflected HEU-MET-FAST-059 HEU-MET-FAST-069 Thin Graphite Reflected HEU-MET-FAST-071 Poly Reflected HEU-MET-FAST-076 GROTESQUE HEU-MET-FAST-081 ORSPHERE HEU-MET-FAST-100 Potassium Worth HEU-MET-FAST-045 Complex Annuli HEU-MET-FAST-083 Bare Annuli HEU-MET-FAST-074 Interacting Cylinders Thick Graphite Reflected 9

Oralloy Measurement Uncertainties Very precise measurement capabilities at Y-12 Dimensions o ±0.0001 in. Mass o ±0.01 g Isotopics o ±1% 234 U o < ±0.02 wt.% 235 U & 236 U Impurities o ~500 ppm average content John T. Mihalczo Experimenter still available for collaboration Further information available ORNL/TM-2012/32 10

THE IRPHEP 11

Purpose of the International Reactor Physics Experiment Evaluation Project (IRPhEP) Collect and evaluate data in support of numerous nuclear energy and technology experiments Represent significant investments of time, infrastructure, expertise, and cost that might not have received adequate documentation Reactivity measurements, reaction rates, buckling, burnup, etc., that are of significant worth for current and future research and development efforts If it is worth measuring, then it is worth evaluating. 12

IRPhEP Handbook March 2014 Edition 20 Contributing Countries Data from 136 Experimental Series performed at 48 Reactor Facilities Data from 3 out of the 136 series are published in DRAFT form http://irphep.inl.gov http://www.oecd-nea.org/science/wprs/irphe/ 13

Benchmark Evaluation Process 14

POTASSIUM 15

Potassium Worth Experiment Oralloy Annuli 7 ID (~18 cm) 13 OD (~33 cm) 5.6 H (~14 cm) SS 304 Cans Empty or 2.4 kg K +10.32 16

Detailed Benchmark Model Development 17

Including Gaps from Imperfections Individual Part Heights Stack Height Unevenness of Parts Small Neutron Streaming Paths Similar Effect Radially 18

Uncertainty Analysis Parameter TABLE 1. Total Experimental Uncertainty in the Potassium Worth Measurement Experiments. Configuration 1 Configuration 2 (Empty Cans) (Potassium-Filled) [Δk eff ] [Δk eff ] Potassium Worth Measurement [Δk eff ] Temperature (K) 0.00004 0.00004 -- Experiment reproducibility ( ) 0.00013 0.00013 0.00004 Measured reactivity worth ( ) 0.00032 0.00032 -- β eff 0.00005 negligible -- Uranium diameter (cm) negligible negligible -- Uranium height (cm) negligible negligible -- Uranium stack height (cm) 0.00006 0.00006 -- Steel can diameter (cm) negligible negligible 0.00001 Steel can radial thickness (cm) 0.00003 negligible 0.00003 Steel can height (cm) negligible negligible 0.00002 Steel can end thickness (cm) negligible negligible 0.00003 Steel can lateral placement (cm) negligible negligible -- Lateral assembly alignment (cm) negligible negligible -- Vertical assembly alignment (cm) negligible negligible -- Gaps between parts (cm) negligible negligible -- Assembly separation (cm) negligible negligible -- Uranium mass (g) negligible negligible -- 234 U content (wt.%) negligible negligible -- 235 U content (wt.%) 0.00010 0.00010 -- 236 U content (wt.%) negligible negligible -- Uranium impurities (ppm) negligible negligible -- Stainless steel mass (g) negligible negligible 0.00002 Stainless steel Cr content (wt.%) negligible negligible -- Stainless steel Ni content (wt.%) negligible negligible -- Stainless steel Mn content (wt.%) negligible negligible -- Stainless steel (C, Si, P, S, & N) content (wt.%) negligible negligible -- Stainless steel impurities (ppm) negligible negligible -- Potassium mass (g) NA negligible <0.00001 Potassium impurities (ppm) NA negligible <0.00001 Potassium bubbles or voiding NA negligible <0.00001 Total Experimental Uncertainty 0.00037 0.00037 0.00006 19

Simple Benchmark Model Development 20

Biases and Measured Corrections Bias/Correction TABLE 2. Calculated Biases for the Potassium Worth Measurement Experiments. Configuration 1 Configuration 2 (Empty Cans) (Potassium-Filled) [Δk eff ] [Δk eff ] Potassium Worth Measurement [Δk eff ] 1. Room Return Effects -0.00093-0.00086 -- 2. Removal of Stainless Steel Diaphragm +0.00054 +0.00054 -- 3. Removal of Support Structure -0.00106-0.00106 -- 4. Temperature Effects negligible negligible -- 5. Removal of Steel Can Impurities negligible negligible -- 6. Removal of Potassium Impurities NA negligible -- Total Bias for Detailed Model (1-6) -00.00145-0.00138 +0.00007 7. Removal of HEU Impurities -0.00021-0.00022 -- 7+8. Removal of HEU Impurities and Homogenization of Annuli -0.00027-0.00023 -- 9. Simplification of Can Geometries +0.00013 +0.00006 -- 7-9. Combined Simplification Calculation -0.00012-0.00015 -- Total Bias for Simple Model (1-9) -0.00157-0.00153 +0.00004 21

Benchmark Values TABLE 3. Experimental and Benchmark Eigenvalues for Critical Configurations. Case Steel Can Experimental Bias Benchmark Experiment Content k eff ± 1σ Δk eff ± 1σ k eff ± 1σ 1 Detailed Void 0.99957 ± 0.00037-0.00145 ± 0.00004 0.9981 ± 0.0004 2 Detailed Potassium 1.00025 ± 0.00037-0.00138 ± 0.00005 0.9989 ± 0.0004 1 Simple Void 0.99957 ± 0.00037-0.00157 ± 0.00005 0.9980 ± 0.0004 2 Simple Potassium 1.00025 ± 0.00037-0.00153 ± 0.00006 0.9987 ± 0.0004 TABLE 4. Experimental and Benchmark Potassium Worth. Case Experimental Bias Benchmark Experiment ρ ± 1σ Δρ ± 1σ ρ ± 1σ Detailed (Δk/k) 0.00068 ± 0.00006 0.00007 ± 0.00003 0.00075 ± 0.00007 Detailed ( ) 10.3 ± 1.1 1.1 ± 0.4 11.4 ± 1.2 Simple (Δk/k) 0.0068 ± 0.00006 0.00004 ± 0.00005 0.00072 ± 0.00008 Simple ( ) 10.3 ± 1.1 0.6 ± 0.7 11.0 ± 1.3 22

WHAT DO WE EXPECT 23

2.0 Calculated Results (Figure) 1.5 1.0 0.5 (C-E)/E % 0.0-0.5-1.0-1.5-2.0 "Lady Godiva" COMET GODIVA IV GODIVA IV VNIITF Sphere VNIITF Cylinder VNIITF Cylinder VNIIEF Sphere TINKERTOY TINKERTOY TINKERTOY 2 TINKERTOY 2 ORCEF Slab ORCEF Slab ORCEF Cylinder ORCEF Cylinder GROTESQUE ORSPHERE ORSPHERE 24

Eigenvalue Results As Expected Case TABLE 5. Comparison of Simple Benchmark and Calculated Eigenvalues. Benchmark Neutron Cross Calculated Code Experiment Section Library CC EE EE % k eff ± 1σ k eff ± 1σ 1 MCNP6 ENDF/B-VII.1 0.99542 ± 0.00002 0.9980 ± 0.0004-0.26 ± 0.04 ENDF/B-VII.0 0.99556 ± 0.00002-0.24 ± 0.04 JEFF-3.1 0.99227 ± 0.00002-0.57 ± 0.04 JENDL-3.3 0.99982 ± 0.00002 0.18 ± 0.04 SERPENT2 ENDF/B-VII.0 0.99558 ± 0.00003-0.24 ± 0.04 KENO-VI ENDF/B-VII.0 0.99528 ± 0.00003-0.27 ± 0.04 2 MCNP6 ENDF/B-VII.1 0.99564 ± 0.00002 0.9987 ± 0.0004-0.31 ± 0.04 ENDF/B-VII.0 0.99577 ± 0.00002-0.30 ± 0.04 JEFF-3.1 0.99242 ± 0.00002-0.63 ± 0.04 JENDL-3.3 0.99996 ± 0.00002 0.12 ± 0.04 SERPENT2 ENDF/B-VII.0 0.99581 ± 0.00003-0.29 ± 0.04 KENO-VI ENDF/B-VII.0 0.99549 ± 0.00003-0.32 ± 0.04 25

Potassium Worth Not Expected TABLE 6. Comparison of Simple Benchmark and Calculated Potassium Worth. Code Benchmark Neutron Cross Calculated CC EE Experiment Section Library EE % ρ( ) ± 1σ ρ( ) ± 1σ MCNP6 ENDF/B-VII.1 3.4 ± 0.4 11.0 ± 1.3-69 ± 5 ENDF/B-VII.0 3.2 ± 0.4-71 ± 5 JEFF-3.1 2.3 ± 0.4-79 ± 4 JENDL-3.3 2.1 ± 0.4-81 ± 4 SERPENT2 ENDF/B-VII.0 3.6 ± 0.6-67 ± 7 KENO-VI ENDF/B-VII.0 3.2 ± 0.6-71 ± 6 Unknown Experimental Error? or Error in Cross Section Data? 26

THE PATH FORWARD 27

SCCA-SPACE-EXP-003 Potassium Calandria 28

Conclusions ORCEF Potassium Worth Experiment Evaluated as Benchmark Calculations of the Worth Appear Incorrect Need to Evaluate Additional Potassium (or NaK) Experiments for Further Validation 29

Questions?

Extra Slides 31

1.0 0.8 ENDF/B-VII.1 JEFF-3.1 Cross Section Library Comparison 0.6 CENDL-3.1 JENDL-3.3 TENDL-2012 ENDF/B-VII.0 JENDL-4.0 0.4 0.2 0.0-0.2-0.4-0.6-0.8-1.0 "Lady Godiva" COMET VNIITF Sphere VNIITF Cylinder VNIITF Cylinder VNIIEF Sphere ORCEF Slab ORCEF Slab ORCEF Cylinder ORCEF Cylinder GROTESQUE ORSPHERE ORSPHERE (C-E)/E % 32