ML11236A134

Westinghouse WCAP-17400-NP, Rev. 0, Prairie Island, Units 1 and 2 Spent Fuel Pool Criticality Safety Analysis, Enclosure 4

ML11236A134
Person / Time
Site:	Prairie Island
Issue date:	07/31/2011
From:	Bishop T C, Blanco A J Westinghouse
To:	Office of Nuclear Reactor Regulation
References
L-PI-11-075 WCAP-17400-NP, Rev. 0
Download: ML11236A134 (150)

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Enclosure 4 Westinghouse WCAP-1 7400-NP Prairie Island Units 1 and 2 Spent Fuel Pool Criticality Analysis Non-Proprietary 149 pages follow Westinghouse Non-Proprietary Class 3 WCAP-17400-NP Revision 0 Prairie Island Units 1 and 2 Spent Fuel Pool Criticality Safety Analysis Westinghouse July 2011 WESTINGHOUSE NON-PROPRIETARY CLASS 3 WCAP-17400-NP Revision 0 Prairie Island Units 1 and 2 Spent Fuel Pool Criticality Safety Analysis Tracy C. Bishop*Andrew J. Blanco*U.S. BWR & Criticality July 2011 Reviewer:

Justin B. Clarity*U.S. BWR & Criticality Approved:

Edmond J. Mercier*, Manager U.S. BWR & Criticality

• Electronically approved records are authenticated in the electronic document management system.Westinghouse Electric Company LLC 1000 Westinghouse Drive Cranberry Township, PA 16066, USA© 2011 Westinghouse Electric Company LLC All Rights Reserved ii REVISION HISTORY Revision Description and Impact of the Change Date 0 Original Issue 07/2011 WCAP- 17400-NP July 2011 Revision 0 iii TABLE OF CONTENTS L IS T O F T A B L E S ........................................................................................................................................

v L IS T O F F IG U R E S ....................................................................................................................................

v ii LIST OF ACRONYMS, INITIALISMS, AND TRADEMARKS

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viii I IN T R O D U C T IO N ........................................................................................................................

1 -1 2 O V E R V IE W .................................................................................................................................

2-1 2.1 ACCEPTANCE CRITERIA .......................................................................................

2-1 2.2 D ESIG N A PPR O A C H ....................................................................................................

2-1 2.3 C O M PU TER C O D ES ......................................................................................................

2-2 2.3.1 Two-Dimensional Transport Code PARAGON ...............................................

2-2 2.3.2 SC A LE C ode Package .....................................................................................

2-3 3 ANALYSIS INPUT SELECTION

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3-1 3.1 FUEL ASSEMBLY SELECTION

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3-1 3.1.1 Fuel Assembly Modeling Assumptions

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3-6 3.2 FUEL STORAGE CELL & RACK DESCRIPTION

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3-7 3.2.1 Fuel Storage Cell & Rack Modeling Assumptions

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3-8 3.3 FUEL DEPLETION PARAMETER SELECTION

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3-8 3.3.1 Fuel Isotopic G eneration

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3-8 3.3.2 Reactor Operation Parameters

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3-9 3.3.3 Axial Profile Selection

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3-11 3.3.4 Burnable Poison Usage ................................................................................

3-14 3.3.5 Fuel Depletion Modeling Assumptions

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3-16 3.4 RODDED OPERATION

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3-17 3.5 CREDIT FOR RCCAS ..................................................................................................

3-17 3.6 NORMAL CONDITION DESCRIPTION

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3-18 3.6.1 Type I Normal Conditions

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3-18 3.6.2 Type 2 Normal Conditions

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3-18 3.6.3 Type 3 Normal Conditions

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3-18 3.6.4 Type 4 Normal Conditions

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3-25 3.6.5 Type 5 Normal Conditions

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3-25 3.7 KENO MODELING ASSUMPTIONS

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3-25 3.7.1 A rray D escriptions

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3-26 3.8 ACCIDENT DESCRIPTION

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3-28 4 ANALYSIS DESCRIPTION

& CALCULATIONS

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4-1 4.1 BURNUP LIMIT GENERATION

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4-1 4.1.1 Target keff Calculation Description

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4-1 4.1.2 Biases & Uncertainties Calculations

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4-1 4.2 SOLUBLE BORON CREDIT .......................................................................................

4-18 4.3 RODDED OPERATION

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4-19 4.4 NORMAL CONDITIONS

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4-20 4.4.1 Type I Normal Conditions

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4-20 4.4.2 Type 2 Normal Conditions

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4-20 4.4.3 Type 3 Normal Conditions

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4-21 WCAP- 17400-NP July 2011 Revision 0 iv 4.4.4 Type 4 N orm al Conditions

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4-23 4.4.5 Type 5 N orm al Conditions

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4-23 4.5 A CCIDEN TS .................................................................................................................

4-24 4.5.1 A ssem bly M isload into the Storage Racks ....................................................

4-24 4.5.2 Inadvertent Rem oval of an RCCA .................................................................

4-24 4.5.3 Spent Fuel Tem perature O utside O perating Range .......................................

4-24 4.5.4 Dropped & M isplaced Fresh A ssem bly .........................................................

4-24 5 AN A LY SIS RESULTS .................................................................................................................

5-1 5.1. BURNUP LIMITS & RESTRICTIONS ON STORAGE ARRAYS ...........................

5-1 5.1.1 Requirem ents for Fuel N ot O perated D uring Cycles 1-4 ................................

5-2 5.1.2 Burnup Requirements for Fuel Operated during Cycles 1-4 ...........................

5-7 5.1.3 Decay Tim e Interpolation

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5-9 5.2 RO D D ED O PERA TION ..................................................................................................

5-9 5.3 IN TER FA CE CO N D ITIO N S ........................................................................................

5-10 5.4 N O RM A L CON DITION S .............................................................................................

5-10 5.4.1 Type 1 N orm al Conditions

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5-10 5.4.2 Type 2 N orm al Conditions

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5-10 5.4.3 Type 3 N orm al Conditions

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5-11 5.4.4 Type 4 N orm al Conditions

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5-11 5.4.5 Type 5 N orm al Conditions

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5-11 5.5 SO LU BLE BO RON C RED IT ...................................................................................

5-11 6 REFEREN CES .............................................................................................................................

6-1 A PPEN D IX A VA LIDATION O F SCA LE 5.1 ..................................................................................

A -I WCAP- 17400-NP July 2011 Revision 0 v LIST OF TABLES Table 2-1 Fuel Categories Ranked by Reactivity

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2-2 Table 3-1 O FA Fuel A ssem bly Specifications

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3-2 Table 3-2 Standard Fuel Assembly Specifications

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3-3 Table 3-3 Westinghouse Fuel Design Comparison

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3-4 Table 3-4 ENC Fuel Assembly Specifications

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3-5 Table 3-5 Westinghouse

-Exxon Fuel Design Comparison

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3-5 Table 3-6 Design Basis Fuel Assembly Design Specifications

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3-7 Table 3-7 Fuel R ack Specifications

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3-8 Table 3-8 Cycle Average Soluble Boron Concentrations

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3-10 Table 3-9 Axial Burnup and Temperature Profiles ...................................................................................

3-14 Table 3-10 BPR Specifications

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3-15 Table 3-11 Parameters Used in Depletion Analysis .................................................................................

3-16 Table 3-12 RC C A Specifications

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3-18 Table 3-13 Consolidated Rod Storage Canister Analysis .........................................................................

3-21 Table 3-14 Failed Fuel Pin Basket Specifications

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3-22 Table 3-15 Fuel Rod Storage Canister Specifications

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3-25 Table 4-1 Biases & Uncertainties for Array A: Fuel Not Operated During Cycles 1-4 .............................

4-7 Table 4-2 Biases & Uncertainties for Array B: Fuel Not Operated During Cycles 1-4 .............................

4-8 Table 4-3 B iases & U ncertainties for A rray C ...........................................................................................

4-9 Table 4-4 Biases & Uncertainties for Array D: Fuel Not Operated During Cycles 1-4 ...........................

4-10 Table 4-5 Biases & Uncertainties for Array E: Fuel Not Operated During Cycles 1-4 .......................

4-11 Table 4-6 Biases & Uncertainties for Array G: Fuel Not Operated During Cycles 1-4 ...........................

4-12 Table 4-7 Biases & Uncertainties for Array A: Fuel Operated During Cycles 1-4 ..................................

4-13 Table 4-8 Biases & Uncertainties for Array B: Fuel Operated During Cycles 1-4 ..................................

4-14 Table 4-9 Biases & Uncertainties for Array D: Fuel Operated During Cycles 1-4 ..................................

4-15 Table 4-10 Biases & Uncertainties for Array G: Fuel Operated During Cycles 1-4 ................................

4-16 Table 4-11 Biases & U ncertainties for A rray F ........................................................................................

4-17 Table 4-12 [ ]a ...............

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4-19 Table 4-13 Failed Fuel Pin Basket A nalysis ............................................................................................

4-22 WCAP- 17400-NP July 2011 WCAP-17400-NP July 2011 Revision 0 vi Table 4-14 Fuel Rod Storage C anister A nalysis ......................................................................................

4-22 Table 4-15 Results of the Accident Calculations at 887 ppm ..................................................................

4-25 Table 5-1 Fuel Categories Ranked by Reactivity

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5-1 Table 5-2 Fuel Category 2: Burnup Requirement Coefficients, Fuel Not Operated During Cycles 1-4 ...5-2 Table 5-3 Fuel Category 2: Burnup Requirements (GWd/MTU), Fuel Not Operated During Cycles 1-4 5-2 Table 5-4 Fuel Category 3: Burnup Requirement Coefficients, Fuel Not Operated During Cycles 1-4 ...5-3 Table 5-5 Fuel Category 3: Burnup Requirements (GWd/MTU), Fuel Not Operated During Cycles 1-4 5-3 Table 5-6 Fuel Category 4: Burnup Requirement Coefficients, Fuel Not Operated During Cycles 1-4 ...5-4 Table 5-7 Fuel Category 4: Burnup Requirements (GWd/MTU), Fuel Not Operated During Cycles 1-4 5-4 Table 5-8 Fuel Category 5: Burnup Requirement Coefficients, Fuel Not Operated During Cycles 1-4 ...5-5 Table 5-9 Fuel Category 5: Burnup Requirements (GWd/MTU), Fuel Not Operated During Cycles 1-4 5-5 Table 5-10 Fuel Category 6: Burnup Requirement Coefficients, Fuel Not Operated During Cycles 1-4..5-6 Table 5-11 Fuel Category 6: Burnup Requirements (GWd/MTU), Fuel Not Operated During Cycles 1-4 5-6 Table 5-12 Fuel Category 3: Burnup Requirement Coefficients., Fuel Operated During Cycles 1-4 ........ 5-7 Table 5-13 Fuel Category 3: Burnup Requirements (GWd/MTU), Fuel Operated During Cycles 1-4 ..... 5-7 Table 5-14 Fuel Category 5: Burnup Requirement Coefficients, Fuel Operated During Cycles 1-4 ........ 5-8 Table 5-15 Fuel Category 5: Burnup Requirements (GWd/MTU), Fuel Operated during Cycles 1-4 ..... 5-8 Table 5-16 Fuel Category 6: Burnup Requirement Coefficients, Fuel Operated During Cycles 1-4 ........ 5-9 Table 5-17 Fuel Category 6: Burnup Requirements (GWd/MTU), Fuel Operated during Cycles 1-4 ..... 5-9 WCAP- 17400-NP July 2011 Revision 0 vii LIST OF FIGURES Figure 3-1 Consolidated Rod Storage Canister ........................................................................................

3-20 Figure 3-2 Failed Fuel Pin Basket ............................................................................................................

3-22 Figure 3-3 Fuel Rod Storage Canister ......................................................................................................

3-23 Figure 3-4 Fuel Rod Storage Canister Cross Section ...............................................................................

3-24 Figure 3-5 Allowable Storage Arrays .......................................................................................................

3-27 Figure 4-1 Fuel Assembly Eccentric Positioning

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4-5 WCAP-17400-NP July 2011 Revision 0 viii 2-D 3-D 400V+422V+AEG AOA at%B&W BOL DR EALF ECT En ENC ENDF/B EOL EPU FA FP FRSB GT GWd HTC HVFD ID IFBA IFM ISG IT keff KENO LEU LV LWR MOX MTU MWd MWt NFR OD OECD OFA Optimized ZIRLO ORNL LIST OF ACRONYMS, INITIALISMS, AND TRADEMARKS Two-Dimensional Three-Dimensional 400 Vantage +422 Vantage +Average Energy Group of Neutrons Causing Fission Area of Applicability Atom Percent The Babcock & Wilcox Company Beginning of Life Debris Resistant Energy of Average Lethargy causing Fission Eddy Current Testing Enrichment Exxon Nuclear Fuel Evaluated Nuclear Data File End of Life Extended Power Uprate Fuel Assembly Fission Products Fuel Rod Storage Basket Guide Tube Gigawatt days Haut Taux de Combustion Hafnium Vessel Flux Depression Inner Diameter Integral Fuel Burnable Absorber Intermediate Flow Mixing Interim Staff Guidance Instrumentation Tube Effective neutron multiplication factor SCALE Module KENO.V.a Low Enriched Uranium Limiting Value Light Water Reactor Mixed Oxide Fuel Metric Ton Uranium Megawatt-day Megawatts thermal New Fuel Storage Rack Outer Diameter Organization for Economic Co-operation and Development Optimized Fuel Assembly Optimized ZIRLOOak Ridge National Lab WCAP- 17400-NP July 2011 Revision 0 ix LIST OF ACRONYMS, INITIALISMS, AND TRADEMARKS (cont.)Plexiglas PNL ppm Prairie Island psia PWR RCCA SER SFP Ss STD TD UT WABA Westinghouse wt%Zirlo PlexiglasTM Pacific Northwest National Lab parts per million Prairie Island Nuclear Generating Plant Pounds Per Square Inch Absolute Pressurized Water Reactor Rod Cluster Control Assemblies Safety Evaluation Report Spent Fuel Pool Stainless Steel Standard Fuel Assembly Theoretical Density Ultrasonic Testing Wet Annular Burnable Absorber Westinghouse Electric Co. LLC Weight Percent ZirloWCAP-17400-NP July 2011 Revision 0 I-I 1 INTRODUCTION The purpose of this report is to document the criticality safety analysis performed to support the proposed Extended Power Uprate (EPU) at Prairie Island Nuclear Generating Plant Units I and 2 (Prairie Island)and to address non-conservatisms in the previous analysis.

The EPU impacts the criticality analysis because fuel depleted at EPU conditions is more reactive than fuel depleted under pre-EPU conditions at the same burnup. This is due to the higher fuel and moderator temperatures that harden the neutron spectrum, resulting in more plutonium production.

WCAP-17400-NP July 2011 Revision 0 2-1 2 OVERVIEW The existing racks are evaluated for the placement of fuel within new allowable storage arrays. This evaluation does not credit any Boraflex neutron absorber that might remain in the racks. Credit is taken for the negative reactivity associated with burnup and post-irradiation cooling time (decay time).Additionally, credit is taken for the presence of soluble boron in the Spent Fuel Pool (SFP) and for the presence of full-length Rod Cluster Control Assemblies (RCCAs) placed in selected fuel assemblies.

2.1 ACCEPTANCE CRITERIA The objective of this SFP criticality safety analysis is to ensure that the pool operates within the bounds discussed here.I. All calculations of the effective neutron multiplication factor (kerr) performed for perinissible storage arrangements at a soluble boron concentration of 0 ppm yield results less than 1.0 including margin for all applicable biases and uncertainties with 95% probability at a 95%confidence level.2. All calculations of the effective neutron multiplication factor (ken') performed for permissible storage arrangements at a soluble boron concentration of 400' ppm yield results less than 0.95 including margin for all applicable biases and uncertainties with 95% probability at a 95%confidence level.3. The analysis demonstrates that keff is less than 0.95 under all postulated accident conditions with a soluble boron concentration of less than 1800 ppm. This criterion shall also be met including margin for all applicable biases and uncertainties with 95% probability at a 95%confidence level.2.2 DESIGN APPROACH This document assures compliance with the acceptance criteria in Section 2.1 by establishing limits on the minimum allowable burnup as a function of enrichment and decay time for each fuel storage array. A conservative combination of best estimate and bounding values have been selected to model the fuel in this analysis to ensure that fuiel represented by the proposed Prairie Island Technical Specifications is less reactive than the fuel modeled in this analysis.

Therefore, burnup limits generated here will conservatively bound all fuel to be stored in the Prairie Island SFP. Input selection is discussed in Section 3 of this analysis.The acceptability of the storage arrays developed in this analysis is ensured by controlling the assemblies that can be stored in each array. In this analysis, assemblies are divided into Fuel Categories I through 6 based on assembly reactivity (burnup, enrichment, and decay time). An assembly's fuel category determines which storage arrays are acceptable for the assembly in question.

Fuel Category I defines the The limiting configuration requires a minimum soluble boron concentration of 350 ppm; however, to provide margin, the associated Technical Specifications (TS 4.3.1) may require any value between 350 ppm and the boron dilution endpoint.

400 ppm has been chosen as that value.WCAP-17400-NP July 2011 Revision 0 2-2 most reactive assemblies, i.e. representing a firesh 5.0 wt% 2 3 5 U assembly and Fuel Category 6 defines the least reactive assemblies, i.e. representing assemblies that can be stored in Array A (see Section 3.7.1).Fuel Category 7 is applicable solely to consolidated fuel (see Section 3.6.3. 1 ).Table 2-1 Fuel Categories Ranked by Reactivity Fuel Category 1 High Reactivity Fuel Category 2 Fuel Category 3 Fuel Category 4 Fuel Category 5 Fuel Category 6 Low Reactivity Fuel Category 7 Consolidated Rod Storage Canister Category Notes: 1. Fuel categories are ranked in order of decreasing reactivity, e.g., Fuel Category 2 is less reactive than Fuel Category I, etc.2. Fuel Category I is fuel up to 5.0 wt% 2 3 5 U; no burnup is required.3. Fuel Categories 2 through 6 are determined from the coefficients provided in Section 5-1.4. Fuel Category 7 applies only to consolidated rod storage canisters and is not ranked relative to the other fuiel categories.

Fuel Category 7 fuel may not be substituted for other fuel categories.

2.3 COMPUTER CODES The analysis methodology employs the following computer codes and cross-section libraries:

(1) the two-dimensional (2-D) transport lattice code PARAGON, as documented in Reference 1, and its cross-section library based on Evaluated Nuclear Data File (ENDF/B) Version VI.3, and (2) SCALE Version 5.1, as documented in Reference 3, with the 44-group cross-section library based on ENDF/B-V.2.3.1 Two-Dimensional Transport Code PARAGON PARAGON is used for simulation of in-reactor fuel assembly depletion to generate isotopics for burnup credit applications in the SFP.PARAGON is Westinghouse's state-of-the-art 2-D lattice transport code. It is part of Westinghouse's core design package and provides lattice cell data for three-dimensional (3-D) core simulator codes. This data includes macroscopic cross sections, microscopic cross sections for feedback adjustments, pin factors for pin power reconstruction calculations, and discontinuity factors for 3-D nodal method solution of the diffusion equation.

PARAGON uses the collision probability theory within the interface current method to solve the integral transport equation.

Throughout the calculation, PARAGON uses the exact heterogeneous geometry of the assembly and the same energy groups as in the cross-section library to compute the multi-group fluxes for each micro-region location of the assembly.

In order to generate the multi-group data, PARAGON goes through four steps of calculations:

resonance self-shielding, flux solution, burnup calculation and homogenization.

The 70-group PARAGON cross-section library is based on the ENDF/B-VI.3 basic nuclear data. It includes explicit multigroup cross-sections and other WCAP- 17400-NP July 2011 Revision 0 2-3 nuclear data for 174 isotopes, without any lumped fission products or pseudo cross sections.

PARAGON and its 70-group cross-section library are benchmarked, qualified, and licensed both as a-standalone transport code and as a nuclear data source for a core simulator in a complete nuclear design code system for core design, safety, and operational calculations.

PARAGON is generically approved for depletion calculations (Reference 1). PARAGON has been chosen for this spent fuel criticality analysis because of its improvements (e.g., no lumped fission products) relative to the historically used PHOENIX-P (Reference

4) and because it has all the attributes needed for burnup credit applications.

There are no SER limitations for the use of PARAGON in U0 2 criticality analysis.2.3.1.1 PARAGON Cross-Section Library The current PARAGON cross section library uses ENDF/B as the basic evaluated nuclear data files.Currently the library has 70 neutron energy groups and 48 gamma energy groups. This library has been generated using the NJOY processing code (Reference 2). To account for the resonance self-shielding effect, the group cross-sections are tabulated as a function of both temperature and background scattering cross-section (dilution).

The resonance self-shielding module of the code uses these resonance self-shielding tables to compute the isotopic self-shielded cross-section in the real heterogeneous situation.

The library contains energy group cross-sections and transport-corrected P 0 scattering matrices as a function of temperature.

The P 0 scattering matrices contain diagonal corrections for anisotropic scattering.

The library also has temperature-dependent Pl scattering matrices for all major moderator materials.

2.3.2 SCALE Code Package The SCALE system was developed for the NRC to standardize the method of analysis for evaluation of nuclear fuel facilities and shipping package designs. In this SFP criticality analysis, the SCALE code package is used to calculate the reactivity of fissile systems in SFP conditions.

Specifically, the SCALE package is used to analyze infinite arrays for all storage arrays in pool, as well as finite rack module and pool representations to evaluate soluble boron requirements and postulated accident scenarios.

The SCALE package includes the control module CSAS25 and the following functional modules: BONAMI, NITAWL-II (NITAWL), and KENO V.a (KENO). A brief description of each module is provided below: " The BONAMI module utilizes Dancoff approximations to perform Bondarenko unresolved resonance self-shielding calculations.

BONAMI solves problems in a one-dimensional multizone slab, cylindrical, or spherical geometry.

Heterogeneous effects are accounted for through the use of the Dancoff factors evaluated for the geometry of the problem, defined as separate regions of fuel, cladding and moderator." The NITAWL module performs problem-dependent resonance shielding by applying the Nordheim Integral Treatment.

The infinite-dilute multi-group cross sections are adjusted by a correction value determined by NITAWL. The correction is calculated by first determining the infinite dilute contribution of each resonance to the group cross section and then by calculating what the contribution would be if the resonance was shielded for the specific problem. The geometry type, materials, characteristic dimensions, and Dancoff factor are all passed to NITAWL for determining the details of the approximations used to self-shield the cross sections.WCAP- 17400-NP July 2011 Revision 0 2-4 Additionally, NITAWL produces a problem-dependent working cross-section library that is used in the subsequent multigroup Monte Carlo simulations.

The KENO module is a multigroup Monte Carlo criticality program used to calculate the keff of 3-D models. Flexible geometry features and the availability of various boundary condition prescriptions in KENO allows for accurate and detailed modeling of fuel assemblies in storage racks, either as infinite arrays or in actual pool models. Anisotropic scattering is treated by using discrete scattering angles through the use of Pn Legendre polynomials.

KENO uses problem-specific cross-section libraries, processed for resonance self-shielding and for the thermal characteristics of the problem.]apc 2.3.2.1 SCALE 44-Group Cross-Section Library The 44-group ENDF/B-V library included in the SCALE package was developed for use in the analysis of fresh and spent fuel and radioactive waste systems. Collapsed from the finegroup 238-group ENDF/B-V cross-section library, this broad-group library contains all nuclides (more than 300) from the ENDF/B-V data files. Broad-group boundaries (22 fast and 22 thermal energy groups) were chosen as a subset of the parent 238-group ENDF/B-V boundaries, emphasizing the key spectral aspects of a typical light water reactor (LWR) fuel package. The finegroup 238-group ENDF/B-V cross sections were collapsed into this broad-group structure using a fuel-cell spectrum calculated based on a 17 x 17 Westinghouse pressurized-water reactor (PWR) assembly.

Thus, the 44-group library performs well for LWR lattices and is the recommended SCALE library for criticality safety analysis of arrays of light-water-reactor-type fuel assemblies, as would be encountered in fresh or spent fuel transportation or storage environments (Reference 5).WCAP- 17400-NP July 2011 Revision 0 3-1 3 ANALYSIS INPUT SELECTION This section describes the methods used to determine the appropriate inputs for the generation of isotopic number densities and the Monte Carlo simulations to conservatively bound fuel depletion and storage at Prairie Island. Unless otherwise stated, all calculations assumed nominal characteristics for the fuel and the fuel storage cells. Tile effect of manufacturing tolerances is accounted for by combining the reactivity effects associated with manufacturing tolerances (rack, fuel, etc) with the other uncertainties as discussed in Section 4.1.2.As discussed in Section 2.3.2, KENO is the criticality code used for the Prairie Island Monte Carlo calculations.

KENO is used to determine the absolute reactivity of burned and fresh fuel assemblies.

Additionally KENO is used to calculate the reactivity sensitivity to manufacturing tolerances and to perform the calculations needed to account for eccentric fuel positioning, the allowable temperature range of the SFP., and accident analyses.All Monte Carlo calculations are performed using an explicit model of the fuel and storage cell geometry and employ periodic or reflective boundary conditions as appropriate.

Modeling assumptions are described in the appropriate section below.3.1 FUEL ASSEMBLY SELECTION Prairie Island has operated using several different fuel assembly designs manufactured by Westinghouse Electric Co. LLC (Westinghouse) as well as fuel assembly designs manufactured by Exxon Nuclear Fuel 2 (ENC). The different fuel designs used at Prairie Island were analyzed to determine the limiting fuel assembly design with respect to criticality safety. The limiting fuel assembly design was used to develop the isotopic number densities and develop burnup limits.The fuel assemblies for Prairie Island incorporate a 14x14 square array of 179 fuel rods with 16 control rod guide tubes (GT) and one instrumentation tube (IT). The fuel rod cladding is Zircaloy or ZIRLOincluding Optimized ZIRLO and other variants.

Each standard fuel rod contains a column of enriched UO 2 fuel pellets. The pellets are pressed and sintered and are dished on both ends. Gadolinia bearing fuel rods, when part of the fuel assembly design, contain UO 2-Gd 2 O 3 fuel pellets (Burnable absorber usage is discussed in Section 3.3.4).Westinghouse manufactured the fuel assemblies for Cycles I through 4 for both units. The fuel assembly design was Westinghouse 14X14 STANDARD (STD).ENC supplied fuel assemblies for Cycles 5 through 10 using three different designs. The ENC fuel designs are the ENC STANDARD, ENC HIGH BURNUP, and ENC TOPROD fuel designs.Beginning with Cycle 11 for both units, the Westinghouse Optimized Fuel Assembly (OFA) design was used. Since then, Prairie Island has also incorporated the Westinghouse HIGH BURNUP-OFA, 400 VANTAGE + (400V+) and 422 VANTAGE + (422V+) fuel designs. The 422V+ fuel design is the current fuel design and there are no plans to transition to another fuel type in the foreseeable future.2 Exxon Nuclear Fuel has been acquired by AREVA and so the Exxon designs discussed here are the proprietary property of AREVA.WCAP-17400-NP July 2011 Revision 0 3-2 For the purposes of SFP criticality safety analyses, the Westinghouse fuel designs fall into two general categories:

OFA and Standard.

The OFA category consists of the Westinghouse OFA, HIGHBURNUP-OFA, and 400V+ fuel designs. The Standard category consists of the Westinghouse STD and 422V+ fuel designs. The differences between the OFA designs are based on changes in cladding and grid material.T pa ' Table 3-1 Summarizes the different OFA assemblies.

Table 3-1 OFA Fuel Assembly Specifications Parameter Value Assembly type OFA HIGHBURNUP-400V+OFA Rod array size 14x14 14x14 14x14 Rod pitch, inch 0.556 0.556 0.556 Active fuel length, inch 144 144 144 Stack density, % TD [ ]apc [ ]a~c [ ]apc Maximum enrichment, wt% 2 3"U 5.0 5.0 5.0 Total number of fuel rods 179 179 179 Fuel cladding OD, inch 0.400 0.400 0.400 Fuel cladding ID, inch 0.3514 0.3514 0.3514 Fuel cladding thickness, inch 0.0243 0.0243 0.0243 Pellet diameter, inch 0.3444 0.3444 0.3444 Number of guide/instrument tubes 16 / 1 16/1 16/1 Guide/instrument tube OD, inch 0.5260 / 0.399 0.5260 / 0.400 0.5260 / 0.400 Guide/instrument tube ID, inch 0.4920 /0.3520 0.4920 / 0.3520 0.4920 / 0.3520 Guide/instrument tube thickness, inch 0.0170 /0.0235 0.0170 /0.0235 0.0170 /0.0235 The Standard category consists of the Westinghouse Standard and 422V+ fuiel types. The fuel designs in this category contain fuel pellets and fuel rods with the same diameter; the differences between designs include changes to cladding and grid material, and instrumentation and guide tube dimensions.

[]aC Table 3-2 contains descriptions of the STD and 422V+ fuel designs.WCAP- 17400-NP July 2011 Revision 0 3-3 Table 3-2 Standard Fuel Assembly Specifications Parameter Value Assembly type STD 422V+Rod array size 14x14 14xl4 Rod pitch, inch 0.556 0.556 Active fuel length, inch 144 143.25 Stack density, % TD [ ]a.c [ ]a.c Maximum enrichment, wt% 2 3 5 U 5.0 5.0 Total number of fuel rods 179 179 Fuel cladding OD, inch 0.4220 0.4220 Fuel cladding ID, inch 0.3734 0.3734 Fuel cladding thickness, inch 0.0243 0.0243 Pellet diameter, inch 0.3659 0.3659 Number of guide/instrument tubes 16/1 16 / 1 Guide/instrument tube OD, inch 0.5390 / 0.4220 0.5260 / 0.4220 Guide/instrument tube ID, inch 0.5050 / 0.3740 0.4920 / 0.3740 Guide/instrument tube thickness, inch 0.0170 / 0.0240 0.0170 / 0.0240 II Ia,c WCAP- 17400-NP July 2011 WCAP- 17400-N P July 2011 Revision 0 3-4-Table 3-3 Westinghouse Fuel Design Comparison The ENC fuel assemblies that have been used at Prairie Island were also reviewed to determine whether an ENC fuel design may be more limiting.

The three ENC fuel types used by Prairie Island (STANDARD, HIGHBURNUP and TOPROD) are summarized in Table 3-4. []a,c 3 When performing a fuel design reactivity comparison, any reasonable burnup profile is acceptable for use so long as all the designs being compared contain the same profile. For example, it would be misleading to compare the OFA fuel in Table 3-3 to the ENC fuel in Table 3-5.1 a,c WCAP-17400-NP July 2011 Revision 0 3-5 Table 3-4 ENC Fuel Assembly Specifications a,c Table 3-5 Westinghouse

-Exxon Fuel Design Comparison a,c WCAP- 17400-NP July 2011 WCAP- 17400-N P July 2011 Revision 0 3-6 3.1.1 Fuel Assembly Modeling Assumptions Fuel assemblies used in this analysis were modeled in PARAGON for depletion calculations and in KENO for reactivity calculations.

PARAGON performs heterogeneous, 2-D transport calculations to develop the spent fuel isotopic number densities.

The calculations use the exact fuel assembly geometry and material composition from a cross-sectional slice of an assembly.

[]a,c KENO is used to perform 3-D Monte Carlo calculations to determine reactivity as discussed in Section 2.3 .2 In KENO, the following assumptions have been made with regard to the fuel assembly.]a,c WCAP-17400-NP July 2011 Revision 0 3-7 Table 3-6 Design Basis Fuel Assembly Design Specifications Parameter Value (422V+) Value (Analyzed)

Assembly type 14x14 422 Vantage + 14x14 422 Vantage +Rod array size 14x14 14x14 Rod pitch, inch 0.556 [ ]a1ý 0.556 [ ]al Active fuel length, inch 143.25 144 Stack density, % TD [ ]a,c[ ].C Maximum enrichment, wt% 2 3 5 U 4.95 5.0 Enrichment tolerance, wt% 2 3 5 U [ ]axc [ ]axc Total number of fuel rods 179 179 Fuel cladding OD, inch 0.422 [3S 0.422 []ax Fuel cladding ID, inch 0.3734 [c 0.3734 []ac Fuel cladding thickness, inch 0.0243 [ ]a.c 0.0243 [ p Pellet diameter, inch 0.3659 [ ]ac 0.3659 [ ]ac Number of guide/instrument tubes 16/1 16/ I Instrument tube OD, inch 0.4220 [ ]a~c 0.4220 [ ]ac Instrument tube ID, inch 0.3740 [ ],c 0.3740 [ ]a'c Instrument tube thickness, inch 0.0240 [ ]ac 0.0240 [ ]a, Guide tube OD, inch 0.5260 [ ]ax 0.5260 [ Guide tube ID, inch 0.4920 [ laxc 0.4920 [ ]ax Guide tube thickness., inch 0.017 [ ]a.C 0.017 [ ]a*c 3.2 FUEL STORAGE CELL & RACK DESCRIPTION The storage racks utilized at Prairie Island are high density flux trap racks that were designed with Boraflex neutron absorber inserts. Any remaining Boraflex neutron absorber material is not credited in the criticality analysis.

The fuel storage cell characteristics that are used in the criticality analysis are summarized in Table 3-7.WCAP- 17400-NP July 2011 Revision 0 3-8 Table 3-7 Fuel Rack Specifications Parameter Value Rack material & density SS304 7.94 g/cc Cell inner dimension, inch 8.27 [Cell wall thickness, inch 0.09 [Cell pitch, inch 9.50 [ ]ac Poison cavity thickness, inch 0.125 [ ]a~c Poison cavity width, inch 8.20 [ ]a~c Sheathing thickness, inch 0.024 [ ]`3.2.1 Fuel Storage Cell & Rack Modeling Assumptions

]a,c 3.3 FUEL DEPLETION PARAMETER SELECTION 3.3.1 Fuel Isotopic Generation This section outlines how parameters are selected for use in the fuel depletion calculations to generate isotopic number densities.

For the purposes of this analysis, the isotopic number densities generated are differentiated by fuel enrichment, decay time after discharge, and whether the fuel was operated in Cycles 1-4 of either unit. Note that the presence of Burnable Poison Rod Assemblies (BPRs) (only present in Cycles 1-4) is accounted for in the burnup requirements provided for fuel operated during Cycles 1-4.Section 3.3.4 discusses BPRs in more detail.The methodology for generating isotopic number densities to support burnup credit in this analysis is based on in-reactor operation at bounding operating conditions.

This is done through the depletion of 2-D axial nodes in infinite reactor geometry at the bounding core conditions discussed in Section 3.3.2. Once the fuel has been depleted to a desired burnup, it is allowed to decay to its most reactive state (100 hours0.00116 days <br />0.0278 hours <br />1.653439e-4 weeks <br />3.805e-5 months <br />)and any residual xenon is removed. The isotopic inventory from PARAGON is then brought to cold conditions, 68 'F and 14.7 psia. Credit is taken for the decay of 2 4 1 pu to 2 4 1 Am.]a,c WCAP-17400-NP July 2011 Revision 0 3-9 Based on Prairie Island fuel management, the fuel exposed to BP.Rs has isotopic number densities which are calculated at enrichments of 2.5, 3.0, and 3.4 wt% 2 3 5 U and at decay times of 0 and 20 years. Isotopic number densities have been generated for fuel that has not been exposed to BPRs at enrichments of 3.4, 4.0, 4.5, and 5.0 wt% 2 3 5 U and decay times of 0, 5, 10, 15, and 20 years.3.3.2 Reactor Operation Parameters The reactivity of the depleted fuel in the SFP is determined by the in-reactor depletion conditions.

The conditions experienced in the reactor impact the isotopic composition of fuel being discharged to the pool.Reference 7 provides discussion on the core operation parameters important to SFP criticality.

This section outlines the parameters used in generating the fuel isotopics and why they are appropriate for use in this analysis.The nominal operating parameters for Prairie Island are given in Table 3-11.3.3.2.1 Soluble Boron Concentration The soluble boron concentration in the reactor during operation impacts the reactivity of fuel being discharged to the pool. Boron is a strong thermal neutron absorber and so its presence hardens the neutron energy spectrum in the core, creating more plutonium.

To adequately incorporate the impact of soluble boron into the generation of isotopics, it is important to account for reactor operation with respect to soluble boron.a,c WCAP- 17400-NP July 2011 Revision 0 3-10 Table 3-8 Cycle Average Soluble Boron Concentrations Cycle Soluble Boron (ppm) Cycle Soluble Boron (ppm)Unit I Cycle 19 697 Unit 2 Cycle 19 723 Unit I Cycle 20 804 Unit 2 Cycle 20 749 Unit I Cycle 21 816 Unit 2 Cycle 21 740 Unit I Cycle 22 825 Unit 2 Cycle 22 773 Unit I Cycle 23 770 Unit 2 Cycle 23 735 Unit I Cycle 24 804 Unit 2 Cycle 24 845 Unit I Cycle 25 713 Unit 2 Cycle 25 732 Unit I Cycle 26 698 Unit 2 Cycle 26 747 EPU Cycle 28 781 EPU Cycle X 4 802 EPU Cycle 29 779 EPU Cycle y 4 811 EPU Cycle 30 795 EPU Cycle Z 4 826 3.3.2.2 Fuel Temperature The fuel temperature during operation impacts the reactivity of fuel being discharged to the pool.Increasing fuel temperature increases resonance absorption in 2 3 8 U due to Doppler broadening which leads to increased plutonium production, increasing the reactivity of the fuel. Therefore, utilizing a higher fuel temperature is more conservative.

The parameters important to determining fuel temperature are power level, moderator temperature, and coolant flow rate.la,c 4 EPU Cycles X, Y, and Z are possible future equilibrium fuel cycles created during EPU fuel management representing several different lifetime/feed fuel assumptions.

Therefore these are included as representative of what soluble boron concentrations might look like after the EPU transition cycles (Cycles 28-30).WCAP-1 7400-NP July 2011 Revision 0 3-11 3.3.2.3 Operating History and Specific Power]a.c 3.3.3 Axial Profile Selection This section discusses the selection of bounding axial burnup and moderator temperature profiles. 3.3.3.1 Axial Burnup Profile Selection This section describes the methods used to determine the limiting distributed axial burnup profiles.

These profiles will be used along with the uniform axial buMup profile to calculate the burnup limits provided in Section 5.1.As discussed in Reference 11, as fuel is operated in the reactor, the center of each assembly generates more power than the ends. This leads to the burnup of each assembly varying along its length. Since the middle of each assembly carries most of the power, the burnup in the middle of the assembly is greater than the assembly average. At the same time, the ends of the assembly are less burned than the assembly average. When the burnup difference between the middle and end of an assembly is large enough, reactivity becomes driven by the end of the assembly rather than the middle as the under depletion of the ends overcomes the reactivity loss due to the neutron leakage.Without considering neutron leakage, a uniformly enriched assembly's reactivity will be driven by the lowest burnup section of the fuel. At the beginning of life, there is no axial burnup variation (fresh fuel)and as such the fuel is axially isoreactive unless neutron leakage is considered.

When neutron leakage is considered, the axial location which has the least leakage will be most reactive and so the center of the assembly drives reactivity.

As the burnup of the assembly becomes more distributed, the impact of neutron leakage decreases and the assembly's reactivity is increasingly driven by the under-depleted ends WCAP- 17400-NP July 2011 Revision 0 3-12 of the fuel. Therefore, as a general rule, with increasing burnup the axial location driving assembly reactivity moves from the center towards the top of an assembly.pac 3.3.3.2 Axial Moderator Temperature Profile Selection This section describes the methods used to determine the limiting axial moderator temperature profiles.These profiles will be used together with axial distributed and uniform burnup profiles to calculate the isotopics used in generating the bumup limits provided in Section 5. 1.Selecting an appropriate moderator temperature profile is important as it impacts the moderator density and therefore the neutron spectrum during depletion as discussed in Reference

7. An appropriate WCAP- 17400-NP July 2011 Revision 0 3-13 moderator temperature ensures the impact of moderator density on the neutron spectral effects is bounded, building in a conservative amount of plutonium.

]ac 3.3.3.3 Axial Burnup and Temperature Profiles I]a.c WCAP- 17400-NP July 2011 Revision 0 3-14 Table 3-9 Axial Burnup and Temperature Profiles 3.3.4 Burnable Poison Usage Burnable poison usage at Prairie Island has been considered for this analysis and conservative assumptions have been utilized to bound the effects of burnable poisons on fuel isotopics.

The burnable poisons that have seen use at Prairie Island include Burnable Poison Rod Assemblies (BPRs) and Gd 2 03 Gadolinia (gad) integrated into fuel pins.BPRs are boron-impregnated glass inserts that are inserted into assembly guide tubes to control power distribution by suppressing an assembly's reactivity during operation.

BPRs can impact assembly reactivity after discharge.

These inserts contain boron, which is a strong thermal neutron absorber, hardening the neutron spectrum of the assembly the BPR has been placed in. Additionally, BPRs displace 5 Note that the 0-18 GWd/MTU shape normalizes to less than 1.0, providing additional conservatism.

a,c 7 WCAP- 17400-NP July 2011 Revision 0 3-15 moderator that would normally be in the guide tubes of an assembly.

The moderator displacement also acts to harden the neutron spectrum of the fuel assembly.

These two phenomena cause increased plutonium production in the assembly, leading to the assembly being more reactive when discharged to the SFP. BPR parameters are shown in Table 3-10.Table 3-10 BPR Specifications Parameter BPR Burnable poison material Borosilicate Glass Burnable poison ID, inch 0.2440 Burnable poison OD, inch 0.3890 Burnable poison clad material SS Burnable poison inner clad thickness, inch 0.0065 Burnable poison inner clad OD, inch 0.2365 Burnable poison outer clad thickness, inch 0.0188 Burnable poison outer clad OD, inch 0.4310 Burnable poison length, inch 142.7 At Prairie Island, BPRs were only used in the first four cycles of each unit when the plant operated using lower enrichment fuel. A review of past fuel management shows that the maximum enrichment of any assembly that contained a BPR is 3.4 wt% 2 3 5 U.pac Prairie Island has transitioned from using BPRs to using gadolinia for power distribution control. As discussed in Reference 9, gadolinia is loaded as an integral part of the fuel matrix, forming rods containing UO,-Gd 2 O 3.The weight percent or loading of Gd2O3 in each gadolinia-bearing rod and the number of gadolinia rods within an assembly are both variable.[Iac WCAP- I 7400-NP July 2011 Revision 0 3-16 3.3.5 Fuel Depletion Modeling Assumptions The PARAGON code (Section 2.3.1) was used to develop the depleted fuel isotopics used in this analysis.To perform the depletion calculations, PARAGON used the depletion parameters and axial profiles discussed above to ensure that the isotopic number densities generated would be more conservative (reactive) than that of the fuel being discharged from the reactors at Prairie Island. Table 3-11 gives the nominal operating parameters for the Prairie Island reactors both pre and post proposed EPU 6 as well as the values assumed for the depletion calculations supporting this analysis.Table 3-11 Parameters Used in Depletion Analysis Nominal Core Parameters Depletion Analysis Value Value (Analyzed)

Parameter Value (Pre-EPU) (proposed EPU)Maximum soluble boron concentration, 845 826 [ ]a~c ppm Rated thermal power, MWt 1683 1811 1811 Average assembly power, MWt 13.91 14.97 p c, Core outlet moderator temperature, OF 61]aAc 602.8 610.6 As described in Section 3.3.3.3 Core inlet moderator temperature, OF 5 d a,c 535.5 541.2 As described in Section 3.3.3.3 Minimum RCS flow rate (Thermal Design 178,000 187,000 ]ax Flow), gpm Westinghouse STD, Fuel designs OFA & ENC STD, 422V+ ]ac TOPROD &HIGHBURNUP Burnable Poison 7 BPR or gadolinia gadolinia

[]a.6 Note that in addition to the EPU, Prairie Island has instituted a measurement uncertainty recapture (MUR) uprate.The MUR uprate is bounded by the EPU conditions and so is not shown in the table.Two sets of isotopics were developed, one set included a 16 finger BPR and the other did not, all other depletion parameters are the same between the two sets of isotopics.

The BPR isotopics are used to represent the fuel operated in Cycles 1-4.WCAP- 17400-NP July 2011 Revision 0 3-17 3.4 RODDED OPERATION 8[.]ac As part of this analysis, past rodded operation at Prairie Island was considered.

Past cycles were reviewed and the impact of rodded operation on both shape and neutron spectrum were studied. The conclusions of this analysis can be found in Section 5.2.3.5 CREDIT FOR RCCAS Array G is the only array where a poison insert is being credited to reduce burnup limits. Table 3-12 lists dimensions for the full length RCCA control insert. []a,c pac WCAP- 17400-NP July 2011 Revision 0 3-18 Table 3-12 RCCA Specifications Parameter Value Material Silver-Indium-Cadmium Silver content., wt% 80 [ ]a~ c Indium content, wt% 15 [ ]a~ c Cadmium content, wt% 5[ ]ac Poison OD, inch 0.3905 [Clad ID, inch 0.3934 []a Clad OD, inch 0.4310 [ ]ac Clad material SS Poison density, gm/cm 3 10.17 3.6 NORMAL CONDITION DESCRIPTION This section discusses normal conditions within the SFP besides the steady-state storage of fresh and spent assemblies.

During normal operation, the SFP has a soluble boron concentration of greater than 1800 ppm and a moderator temperature

S 150 'F. Beyond the storage of fuel assemblies, there are five major types of normal conditions covered in this analysis.

These five conditions are: 3.6.1 Type 1 Normal Conditions Type 1 conditions involve placement of components in or near the intact fuel assemblies while normally stored in the storage racks. This also includes removal and reinsertion of these components into the fuel when stored in the rack positions using specifically designed tooling. Examples of these evolutions include: control rods, thimble plugging devices, and BPRs.3.6.2 Type 2 Normal Conditions Type 2 conditions involve evolutions where the fuel assembly is removed from the normal storage rack location for a specific procedure and reinserted after the procedure's completion.

Examples of these procedures include fuel assembly cleaning, inspection, reconstitution, and sipping.3.6.3 Type 3 Normal Conditions Type 3 conditions involve insertion of components that are not intact fuel assemblies, into the fuel storage rack cells. Examples include failed and damaged fuel rod baskets, fuel rod consolidation storage canisters, movable in-core detectors, and miscellaneous maintenance equipment.

Further descriptions of both consolidated and failed fuel storage are given below.WCAP- 17400-NP July 2011 Revision 0 3-19 3.6.3.1 Consolidated Rod Storage Description Rod consolidation is a process in which the fuel rods are removed from the fuel assembly structural material and packed into a storage can. Typically two assemblies worth of fuel rods are packed in a storage can in a close-packed triangular rod pitch as shown in Figure 3-1. The storage can is approximately the size of the fuel assembly and is placed in a fuel rack storage cell. The fuel assembly structural material is sheared into small pieces after the nozzles have been removed.To optimize fuel storage at Prairie Island, consolidated rod storage was implemented as a trial. These consolidated rod storage canisters have been stored in a 2x2 array as shown in Section 3.7.1. The cells face-adjacent to the consolidated rod storage canisters contain the assembly structural components from the consolidation process.WCAP- 17400-NP July 2011 WCAP- I17400-NP July 2011 Revision 0 3-20 0.050" I Figure 3-1 Consolidated Rod Storage Canister I]a,c WCAP- 17400-NP July 2011 WCAP-17400-NP July 2011 Revision 0 3-21 Ii]a,c-1 Table 3-13 Consolidated Rod Storage Canister Analysis--, a.c 3.6.3.2 Failed Fuel Basket Description This section of the analysis discusses the assumptions made with regard to modeling the failed fuel baskets and analysis of the acceptable storage locations of these baskets. There are two different designs of failed fuel basket; failed fuel pin basket and fuel rod storage canister are shown as Figure 3-2 and Figure 3-3. Table 3-14 and Table 3-15 provide the nominal and analyzed parameters.

Note if a statement applies to only one of these two baskets, the name of the individual basket will be used. When referring to both the failed fuel pin basket and the fuel rod storage canister at the same time, the term failed fuel basket will be used.9 Not using burnable poison is conservative because the analysis is performed with fresh fuel so there are no competing effects (spectral hardening, etc) which mitigate the poison's reactivity suppression.

WCAP- 17400-NP July 2011 Revision 0 a,c 3-23 a,c Figure 3-3 Fuel Rod Storage Canister WCAP-17400-NP July 2011 Revision 0 3-24 Sa,c Figure 3-4 Fuel Rod Storage Canister Cross Section WCAP- 17400-NP July 2011 Revision 0 3-25 Table 3-15 Fuel Rod Storage Canister Specifications Parameter Value Small rod sleeve array size 8x8 -4x4 Rod pitch, inch .875 Small fuel rod sleeve OD, inch 0.755 Small fuiel rod sleeve ID, inch 0.625 Total number of fuel rods in the small fuel rod sleeves 48 Large rod sleeve array size 3x3 Rod pitch, inch 1.00 Large fuel rod sleeve OD, inch 0.880 Large fuel rod sleeve ID, inch 0.750 Total number of fuel rods in the large fuel rod sleeves 9 Fuel rod storage canister inner dimension, inch 7.625 Active fuel length, inch 144 Stack density, % TD [ ]apc Maximum enrichment, wt% 2 3 5 U 5.011 3.6.4 Type 4 Normal Conditions Type 4 conditions involve temporary installation of components on the rack periphery.

Examples include fuel assembly inspection and maintenance platforms, fuel sipping cans, and dry fuel storage casks.3.6.5 Type 5 Normal Conditions Type 5 conditions involve miscellaneous conditions that do not fit into the first four normal condition types. Examples include usage of fuel handling tools for their intended purpose, miscellaneous debris under the storage racks, and damaged storage cells.3.7 KENO MODELING ASSUMPTIONS pc, 11 Ia,c WCAP- 17400-NP July 2011 Revision 0 3-26 The methods used to model the fuel, consolidated fuel, and failed fuel basket storage arrays, as well as accident scenarios are discussed in the following sections.Discussion of the fuel assembly and storage array assumptions can be found in Sections 3.1.1 and 3.2.1 respectively.

[]a,c 3.7.1 Array Descriptions Descriptions of the fuel storage arrays allowable for use at Prairie Island are outlined below. Each storage array was modeled in KENO as an infinite series of arrays so that an infinite array was modeled.The restrictions associated with arrays can be found in Section 5.1.Array A Fuel Category 6 assembly in every cell.Array B Fuel Category 3 assembly in three of every four cells; one of every four cells is empty (water filled).Array C Checkerboard pattern of Fuel Category I assemblies and empty (water-filled) cells.6 6 6 6 3 3 3 x X X 1 5 5 X 1 Array D Two Fuel Category 5 assemblies, one Fuel Category I assembly, and one empty cell in every four cells. The Fuel Category I and empty cell shall be face-adjacent.

WCAP- 17400-NP July 2011 Revision 0 3-27 Array E Two Fuel Category 2 assemblies, one Fuel Category 4 assembly, and one empty cell in every four cells. The Fuel Category 4 assembly shall be diagonal to the empty cell.Array F Checkerboard pattern of Fuel Category 7 consolidated rod storage canisters and non-fuel cells.2 4 X 2 7 NF NF 7 Array G Nine Fuel Category 5 assemblies in every nine cells with a full length RCCA loaded in the center assembly.51 L 5ý5 5 5R 5 5 5 Notes: 1. In all arrays, an assembly of lower reactivity may replace an assembly of higher reactivity.

2. Fuel Category 1 is fuel up to 5.0 wt% 2 3 5 U; no burnup is required.3. Fuel Categories 2 through 6 are determined from the coefficients provided in Section 5.1.4. Fuel Category 7 is fuel stored in the consolidated rod storage canisters.

Fuel Category 7 fuel may not be substituted for other fuel categories.

5. An X indicates an empty (water-filled) cell.6. An R indicates the assembly must contain a full length RCCA.7. Attributes for each array are as stated in the definition.

Diagram is for illustrative purposes only.8. An empty (water-filled) cell may be substituted for any fuel containing cell in any storage array.9. An NF indicates a non-fuel cell. These cells may contain assembly structural materials, nozzles, grids, or other non-fuel components.

Figure 3-5 Allowable Storage Arrays WCAP- 17400-NP July 2011 Revision 0 3-28 3.8 ACCIDENT DESCRIPTION The following reactivity increasing accidents are considered in this analysis:* Misloaded fresh fuiel assembly into incorrect storage rack location* Inadvertent removal of an RCCA" SFP temperature greater than normal operating range (150 OF)* Dropped & misplaced firesh fuel assembly The inputs to the accident analysis are the results of the burnup limit calculations discussed in Section 4.3.WCAP-17400-NP July 2011 Revision 0 4-1 4 ANALYSIS DESCRIPTION

& CALCULATIONS This section describes the calculations that were doneto support the results and conclusions provided in Section 5. This section discusses the methods used to determine the target keff, evaluate the impact of soluble boron on the analyzed configurations, and evaluate the impact of accidents in the SFP.4.1 BURNUP LIMIT GENERATION To ensure the safe operation of the Prairie Island SFP, this analysis defines fuel storage arrays which dictate where assemblies can be placed in the SFP based on each assembly's enrichment (wt% 2 3 5 U), assembly average burnup (MWd/MTU), and decay time (years) since discharge.

Each assembly in the reactor core depletes under slightly different conditions and therefore can have a different reactivity at the same burnup. This is accounted for in the analysis by using a combination of depletion parameters that together produce a bounding isotopic inventory throughout life (see Section 3.3). Additionally, while fuel manufacturing is a very tightly controlled process, assemblies are not identical.

Reactivity margin is added to the KENO reactivity calculations for the generation of burnup limits as discussed in Section 4.1.1 to account for manufacturing deviations.

4.1.1 Target kff Calculation Description a,c 4.1.2 Biases & Uncertainties Calculations Reactivity biases are known variations between the real and analyzed system and their reactivity impact is added directly to the calculated keff. Examples include the pool temperature and code validation biases.Uncertainties account for allowable variations within the real model whether they are physical (manufacturing tolerances), analytical (depletion and fission product uncertainties) or measurement related (burnup measurement uncertainty).

WCAP- 17400-NP July 2011 Revision 0 4-2 4.1.2.1 Bias & Uncertainty Descriptions The following sections describe the biases and uncertainties that are accounted for in this analysis.4.1.2.1.1 Manufacturing Tolerances aC WCAP-17400-NP July 2011 Revision 0 4-3 I I]a~C 4.1.2.1.2 Burnup Measurement Uncertainty I]ac 4.1.2.1.3 Depletion Uncertainty I]f.WCAP-1 7400-NP July 2011 Revision 0 4-4 4.1.2.1.4 Fission Product Worth Uncertainty I]a~c 4.1.2.1.5 Operational Uncertainty The operational uncertainty included in the rackup tables accounts for the uncertainty in specific power histories from reactor operation as discussed in Section 3.3.2.3 and Reference 7.4.1.2.1.6 Eccentric Fuel Assembly Positioning I]ac WCAP-1 7400-NP July 2011 WCAP-17400-NP July 2011 Revision 0 4-5 I a,c Figure 4-1 Fuel Assembly Eccentric Positioning 4.1.2.1.7 Other Uncertainties An uncertainty in the predictive capability of SCALE 5.1 and the associated cross section library is considered in the analysis.

The uncertainty from the validation of the calculational methodology is discussed in detail in Appendix A.4.1.2.1.8 Pool Temperature Bias]a,c 4.1.2.1.9 Borated and Unborated Biases and Uncertainties I]ac WCAP- 17400-NP July 2011 Revision 0 4-6]a,c 4.1.2.2 Storage Array Biases & Uncertainties Results]ac The biases and uncertainties for each fuel storage array are given in Section 4.1.2.2.1 and Section 4.1.2.2.2 for fuel not operated during Cycles 1-4 and fuel operated during Cycles 1-4 respectively.

WCAP- 17400-NP July 2011 Revision 0 4-7 4.1.2.2.1 Storage Array Biases & Uncertainties for Fuel Not Operated During Cycles 1-4 II a,c Table 4-1 Biases & Uncertainties for Array A: Fuel Not Operated During Cycles 1-4[]ac WCAP-17400-NP July 2011 Revision 0 4-8-Table 4-2 Biases & Uncertainties for Array B: Fuel Not Operated During Cycles 1-4 ax[j]a~c WCAP-17400-NP July 2011 Revision 0 4-9 Table 4-3 Biases & Uncertainties for Array C ax WCAP- 17400-NP July 2011 Revision 0 4-10 Table 4-4 Biases & Uncertainties for Array D: Fuel Not Operated During Cycles 1-4 a,c pac WCAP-17400-NP July 2011 Revision 0 4-11]aa~c--ITable 4-5 Biases & Uncertainties for Array E: Fuel Not Operated During Cycles 1-4 a --WCAP- 17400-NP July 2011 Revision 0 4-12-Table 4-6 Biases & Uncertainties for Array G: Fuel Not Operated During Cycles 1-4 a,c a~c WCAP-17400-NP July 2011 Revision 0 4-13 4.1.2.2.2 Biases & Uncertainties for Fuel Operated During Cycles 1-4 j Table 4-7 Biases & Uncertainties for Array A: Fuel Operated During Cycles 1-4 a,c]a.c WCAP- 17400-NP July 2011 Revision 0 4-14 Table 4-8 Biases & Uncertainties for Array B: Fuel Operated During Cycles 1-4 a,c]aac WCAP- 17400-NP July 2011 Revision 0 4-15 Table 4-9 Biases & Uncertainties for Array D: Fuel Operated During Cycles 1-4 ac]aa~c WCAP-17400-NP July 2011 Revision 0 4-16 Table 4-10 Biases & Uncertainties for Array G: Fuel Operated During Cycles 1-4 a,c III]a,c WCAP-17400-NP July 2011 Revision 0 4-17 4.1.2.3 Consolidated Rod Storage Canister Biases & Uncertainties Results The consolidated rod storage canister array has had explicit biases & uncertainties calculated for it.]a.c Table 4-11 Biases & Uncertainties for Array F a,c WCAP-17400-NP July 2011 Revision 0 4-18]a.c 4.1.2.4 Failed Fuel Basket Biases & Uncertainties No biases and uncertainties were calculated for the failed fuel baskets. The failed fuel baskets are significantly less reactive than a fuel assembly.

Incorporating specifically calculated biases and uncertainties for the failed fuel baskets will not impact the results discussed in Section 5.4.3.4.2 SOLUBLE BORON CREDIT In this analysis, boron credit calculations assume natural boron, which is 19.9 at% "'B. However, because the isotopic concentration of boron can vary, this analysis also accounts for boron isotopic concentrations as low as 19.4 at% 0 1B.The minimum soluble boron concentration in the Prairie Island SFP is assumed in this analysis to be 400 ppm, the value in proposed Technical Specification 4.3.1 associated with achieving keff 0.95 for the limiting normal condition including biases, uncertainties, and administrative margin. For conservatism, this analysis ensures that a keff of 0.95 will be maintained assuming 400 ppm of soluble boron at 19.4 at%'°B (389 ppm at 19.9 at% '°1).Table 4-12 presents the maximum keff values for normal conditions including biases and uncertainties at a boron concentration of 389 ppm at 19.9 at% 1 0 B (400 ppm at 19.4 at% I 0 B). It is demonstrated that 389 ppm at 19.9 at% I 0 B (400 ppm at 19.4 at% '0 B) is sufficient to comply with the acceptance criterion of kenf 0.95 under all normal conditions (see Table 4-12). Additionally, Table 4-12 identifies the limiting storage array and the soluble boron concentration required to meet a keff < 0.95.WCAP-17400-NP July 2011 Revision 0 4-19_ Table 4-12 1 ac la,C 1 4.3 RODDED OPERATION Calculations were performed at 389 ppm at 19.9 at% I0B which equates to 400 ppm at 19.4 at% '0 B.2 The kfrs provided in Table 4-12 should be compared to 0.945, as 0.005 Ak administrative margin is not included.3 Review of historical operation shows that for fuel not operated in Cycles 1-4, the maximum amount of rodded operation is less than 600 MWd/MTU of core average operation.

WCAP-17400-NP July 2011 Revision 0 4-20 4.4. NORMAL CONDITIONS 4.4.1 Type 1 Normal Conditions asc Therefore, any components designed to be inserted into an assembly may be stored in a fuel assembly in the SFP.4.4.2 Type 2 Normal Conditions The Type 2 normal conditions include removal of an assembly from a storage location to perform fuel assembly cleaning, inspection, reconstitution, or sipping. Descriptions of each of these items are given below along with the evaluation of the impact on this criticality safety analysis.Fuel assembly cleaning is defined as placing cleaning equipment adjacent to a single assembly and either jetting water from or into a nozzle. The cleaning equipment will displace water adjacent to the assembly and can use demineralized (unborated) water to clean assemblies.

The demineralized water used in this process is not confined to a particular volume, but would be readily dispersed into the bulk water of the SFP. In all cases, only one fuel assembly will be manipulated at a time and all manipulations will occur outside the storage cell and not within one assembly pitch of other assemblies.

The large delta between the Technical Specification required boron concentration and the boron concentration credited in this analysis and the relatively small volume of demineralized Water used for this operations guarantees that the addition of unborated water does not constitute a significant dilution event.Fuel assembly inspection is defined as placing non-destructive examination equipment against at least one face of an assembly.

Periscopes and underwater cameras can be placed against all four faces of the assembly simultaneously and will displace water. In all cases, only one fuel assembly will be manipulated at a time and all manipulations will occur outside the storage cell and not within one assembly pitch of other assemblies.

Fuel assembly reconstitution is defined as either pulling damaged fuel rods out of an assembly and reinserting intact rods with less reactivity compared to the damaged rod or removing of undamaged rods from a damaged assembly for insertion in a new assembly.

In most cases, damaged rods will be replaced with stainless steel rods, but natural uranium rods may also be used. In all cases, only one fuel assembly will be manipulated at a time and all manipulations will occur outside the storage cell and not within one assembly pitch of other assemblies.

WCAP- 17400-NP July 2011 Revision 0 4-21 Fuel assembly sipping is defined as placing up to two fuel assemblies in the sipping equipment.

The fuel assemblies are separated by at least one assembly pitch via equipment design. While the sipping equipment can be placed within one assembly pitch adjacent to a storage rack loaded with fuel, the fuel assemblies loaded into the sipping equipment are more than one assembly pitch removed from the fuel located in the storage racks. During this operation, demineralized water may be introduced to the sipping container, exposing the assembly(s) to an unborated environment.

Fuel assembly cleaning, inspection, reconstitution, and sipping are bounded by this criticality analysis.]a~c 4.4.3 Type 3 Normal Conditions Type 3 normal conditions include the insertion of components other than intact fuel assemblies into storage cells. Any components that do not contain fissile materials can replace a fuel assembly of any fuel category in one of the approved storage configurations described in Section 3.6.3.1. Items containing fissile material and items without fissile material which can be stored differently than a fuel assembly are described below.The consolidated fuel storage canister has been evaluated as Fuel Category 7 fuel in Array F (see Section 3.7.1). A target keff was calculated based on the biases and uncertainties given in Section 4.1.2.3. Array F was shown to meet the required target keff and therefore consolidated fuel storage canisters can be stored in this array. Additionally, an interface-specific analysis was performed which confirmed the acceptability of an interface between Array A and Array F.]a,c In addition to the consolidated fuel storage canisters, Array F includes non-fuel cells that contain damaged or compacted fuel structural components.

These have been analyzed as a part of Array F as described in Section 3.6.3.1. This analysis allows for the structural material (excluding top and bottom nozzles) of up to three assemblies to be stored within a non-fuel cell for Array F. Additionally, in Array F, it is acceptable to stack any number of top or bottom nozzles in the non-fuel cell.Failed fuel baskets, unlike fuel assemblies, are not designed to maximize reactivity.

Therefore, the baskets are significantly less reactive than a fuel assembly and as a result can be stored in any cell location where a fuel assembly is permitted.

]a.c 4[]a'c WCAP-17400-NP July 2011 Revision 0 4-22 I]a,c Table 4-13 Failed Fuel Pin Basket Analysis a,c a,c Table 4-14 Fuel Rod Storage Canister Analysis 11 WCAP- 17400-NP July 2011 Revision 0 4-23 As shown in Table 4-13 and Table 4-14, the failed fuel baskets are significantly less reactive than the least reactive fuel assemblies credited in this analysis (assemblies that meet the requirements of Fuel Category 6).A damaged fuel rod storage basket is a consolidated rod storage canister containing up to 10 fuel rods too damaged to be inserted into either failed fuel basket.]a,c The storage of a canister with movable incore detectors has been evaluated for storage in the SFP at Prairie Island. This canister holds both the movable incore detectors and the associated thimble tubes.Together these detectors do not possess enough fissile material to impact reactivity significantly and can be placed in any location where a fuel assembly of any fuel category may be stored.A filter assembly is defined as a single storage cell up to completely full of cotton or polyester fibers and minor steel and plastic structural components.

These filters may contain very small discrete particles of fissile material in the filter media. A filter assembly cannot contain enough fissile material to go critical and can be stored in any location where a fuel assembly of any fuel category may be stored.4.4.4 Type 4 Normal Conditions Type 4 normal conditions include temporary installation of non-fissile components on the rack periphery.

Analysis of the storage arrays contained within this criticality analysis assume an infinite array of storage cells. This assumption bounds the installation of components on the periphery of racks.4.4.5 Type 5 Normal Conditions Type 5 normal conditions include miscellaneous activities not fully aligned with the first four types of normal operations.

A damaged storage cell is defined as a cell where the cell liner is out of tolerance or the entry channel has been damaged. These cells should not be used to store fuel assemblies but they may be used to store items that needed to be stored as a fuel assembly (i.e. failed fuel basket, etc) or credited as an empty cell.Insertion of handling tools into the top of fuel assemblies or other components occurs frequently in the SFP environment.

The insertion of handling tools into the top of an assembly is bounded by the storage of inserts in fuel assemblies and therefore, from a criticality prospective, all fuel handling tools are acceptable for their intended purpose.WCAP-1 7400-NP July 2011 Revision 0 4-24 4.5 ACCIDENTS 4.5.1 Assembly Misload into the Storage Racks The misloaded fresh fuel accident scenario is analyzed by placing a 5.0 wt% 2 3 5 U fresh fuel assembly into the water-filled cell required in Arrays B, C, D, and E. A 6x6 model is utilized with periodic boundary conditions containing one misloaded fresh fuel assembly.

Each array that credits a water-filled cell was analyzed; a misload into Array D is the most limiting.

This accident requires 887 ppm of boron to maintain keff less than 0.95, (910 ppm assuming 19.4 at% '0 B) including biases and uncertainties.

The results of Array D calculation is presented in Table 4-15.4.5.2 Inadvertent Removal of an RCCA This accident accounts for the removal of an RCCA from Array G. This accident has not been explicitly analyzed because it is bounded by the assembly misload accident discussed in Section 4.5.1. The insertion of a fresh 5.0 wt% 2 3 5 U assembly into Array D is the limiting misload. This creates an accident condition with two fresh 5 wt% 2 3 5 U assemblies, and two Fuel Category 5 assemblies in a 2x2 storage array. This condition is clearly bounding of the withdrawn of an RCCA from Array G, which creates an array containing solely Fuel Category 5 assemblies.

4.5.3 Spent Fuel Temperature Outside Operating Range The SFP is to be operated at less than 150 'F. However, under accident conditions this temperature could be higher. Due to the large volume of water in the SFP, boiling off of the pool water before remediation is not credible; therefore the lowest density of the water is the water density at boiling and atmospheric pressure, 0.96 gm/cm 3.Calculations are run with voiding and 887 ppm of soluble boron. To demonstrate conservatism, an additional case with a moderator density of 0.75 gm/cm 3 is performed.

The results for these calculations are presented in Table 4-15.4.5.4 Dropped & Misplaced Fresh Assembly During placement of the fuel assemblies in the racks, it is possible to drop the fuel assembly from the fuel handling machine. The dropped assembly could land horizontally on top of the other fuel assemblies in the rack. In this case, there is significant separation between the dropped fuel assembly and the active regions of the rest of the fuel assemblies due to the top nozzle, fuel rod plenum, fuel rod end plug, and the separation between the fuel rod and the top nozzle. Due to the large physical separation between the active region of the fuel and the dropped assembly it is clear that the misloaded fresh fuel assembly described above is more limiting than a single assembly lying horizontally on top of other assemblies in the rack.It is possible to misplace a fuel assembly in a location not intended for fuel. Any assembly placed outside of the racks is surrounded by water on at least two sides. The misloaded fresh assembly discussed above is surrounded by fuel on all four sides. The additional neutron leakage of the two sides not facing fuel ensures that this condition is bounded by the misload event.WCAP- 17400-NP July 2011 Revision 0 4-25 4.5.4.1.1 Accident Results Table 4-15 Results of the Accident Calculations at 887 ppm_a,c' The kfrs provided in Table 4-15 should be compared to 0.945, as 0.005 Ak administrative margin is not included WCAP-17400-NP July 2011 Revision 0 5-1 5 ANALYSIS RESULTS This section documents the results of the Prairie Island criticality safety analysis.

Included in this section are the burnup requirements for the fuel storage arrays documented in this analysis.

This section also contains the restrictions placed on the various storage arrays such as placement of non-fuel items and an evaluation of normal SFP activities which are bounded by this analysis.5.1 BURNUP LIMITS & RESTRICTIONS ON STORAGE ARRAYS Assembly storage is controlled through the storage arrays defined in Section 3.7.1. An array can only be populated by assemblies of the fuel category defined in the array definition or a lower reactivity array.Fuel categories are defined by assembly burnup, enrichment and decay time as provided by Table 5-2 through Table 5-17.Table 5-1 Fuel Categories Ranked by Reactivity Fuel Category I High Reactivity Fuel Category 2 Fuel Category 3 Fuel Category 4 Fuel Category 5 Fuel Category 6 Low Reactivity Fuel Category 7 J Consolidated Rod Storage Canister Category Notes: 1. Fuel categories are ranked in order of decreasing reactivity, e.g., Fuel Category 2 is less reactive than Fuel Category 1, etc.2. Fuel Category I is fuel up to 5.0 wt% 2 3 5 U; no burnup is required.3. Fuel Categories 2 through 6 are detemlined from the coefficients provided.4. Fuel Category 7 applies only to consolidated rod storage canisters and is not ranked relative to the other fuel categories.

Fuel Category 7 fuel may not be substituted for other fuel categories.

WCAP- 17400-NP July 2011 Revision 0 5-2 5.1.1 Requirements for Fuel Not Operated During Cycles 1-4 Table 5-2 Fuel Category 2: Burnup Requirement Coefficients, Fuel Not Operated During Cycles 1-4 Coefficients Decay Time (yr) A, A 2 A 3 A 4 0 -0.669 9.018 -32.080 33.507 Notes: 1. All relevant uncertainties are explicitly included in the criticality analysis.

For instance, no additional allowance for burnup uncertainty or enrichment uncertainty is required.

For a fuel assembly to meet the requirements of a Fuel Category, the assembly burnup must exceed the "minimum burnup" (GWd/MTU)given by the curve fit for the assembly "decay time" and "initial enrichment." The specific minimum burnup required for each fuel assembly is calculated from the following equation: BU = A,

• En 3 + A,

• En- + A 3

• En + A 4 2. Initial enrichment, En, is the nominal 2 3 5 U enrichment.

Any enrichment between 2.9 wt% 2 3"U and 5.0 wt%231U may be used.Table 5-3 Fuel Category 2: Burnup Requirements (GWd/MTU), Fuel Not Operated During Cycles 1-4 Wt% '3 5 UJ Decay Time (yr) 2.90 3.40 4.00 4.50 5.00 0 0 2.389 6.659 10.799 14.932 Notes: 1. This table is included as an example, the bumup limits will be calculated using the coefficients provided.WCAP-17400-NP July 2011 Revision 0 5-3 Table 5-4 Fuel Category 3: Burnup Requirement Coefficients, Fuel Not Operated During Cycles 1-4 Coefficients Decay Time (yr) A, A 2 A 3 A 4 0 -0.120 1.300 5.006 -18.765 5 -0.167 1.766 3.085 -16.141 10 -0.218 2.249 1.405 -14.163 15 -0.281 2.949 -1.267 -10.873 20 -0.401 4.237 -5.881 -5.513 Notes: I. All relevant uncertainties are explicitly included in the criticality analysis.

For instance, no additional allowance for burnup uncertainty or enrichment uncertainty is required.

For a fuel assembly to meet the requirements of a Fuel Category, the assembly burnup must exceed the "minimum burnup" (GWd/MTU)given by the curve fit for the assembly "decay time" and "initial enrichment." The specific minimum burnup required for each fuel assembly is calculated from the following equation: BU =A,

• En3 +A,

• En2 +A 3

• En +A, 2. Initial enrichment, En, is the nominal 2 11 5 U enrichment.

Any enrichment between 2.5 wt% 2 3 5 U and 5.0 wt%235U may be used.3. Linear interpolation between decay times is permitted.

However, an assembly with a decay time greater than 20 years must use the 20 years limits.Table 5-5 Fuel Category 3: Burnup Requirements (GWd/MTU), Fuel Not Operated During Cycles 1-4 Wt% 2 3 1U Decay Time (yr) 2.50 3.40 4.00 4.50 5.00 0 0 8.567 14.379 19.152 23.765 5 0 8.199 13.767 18.285 22.559 10 0 8.044 13.489 17.837 21.837 15 0 7.865 13.259 17.537 21.392 20 0 7.710 13.091 17.281 20.882 Notes: 1. This table is included as an example, the burnup limits will be calculated using the coefficients provided.WCAP-17400-NP July 2011 Revision 0 5-4 Table 5-6 Fuel Category 4: Burnup Requirement Coefficients, Fuel Not Operated During Cycles 1-4 Coefficients Decay Time (yr) A, A 2 A 3 A 4 0 1.355 -14.866 62.715 -72.624 Notes: 1. All relevant uncertainties are explicitly included in the criticality analysis.

For instance, no additional allowance for burnup uncertainty or enrichment uncertainty is required.

For a fuel assembly to meet the requirements of a Fuel Category, the assembly burnup must exceed the "minimum burnup" (GWd/MTU)given by the curve fit for the assembly "decay time" and "initial enrichment." The specific minimum burnup required for each fuel assembly is calculated from the following equation: BU =A,

• En 3+ A 2* En2 +A 3

• En +A 4 2. Initial enrichment, En, is the nominal 235U enrichment.

Any enrichment between 1.8 wt% 2" 5 U and 5.0 wt%235U may be used.WCAP- 17400-NP July 2011 Revision 0 5-5 Table 5-8 Fuel Category 5: Burnup Requirement Coefficients, Fuel Not Operated During Cycles 1-4 Coefficients Decay Time (yr) A, A 2 A 3 A 4 0 0.569 -6.563 37.088 -47.854 5 0.302 -3.795 27.410 -37.964 10 0.151 -2.248 21.874 -32.204 15 -0.198 1.133 11.031 -21.713 20 -0.427 3.424 3.614 -14.522 Notes: I. All relevant uncertainties are explicitly included in the criticality analysis.

For instance, no additional allowance for burnup uncertainty or enrichment uncertainty is required.

For a fuel assembly to meet the requirements of a Fuel Category, the assembly burnup must exceed the "minimum bumup" (GWd/MTU)given by the curve' fit for the assembly "decay time" and "initial enrichment." The specific minimum bumup required for each fuel assembly is calculated from the following equation: BU =A 1

• En 3 +A 2* En2 +A 3

• En +A 4 2. Initial enrichment, En, is the nominal 2 3 5 U enrichment.

Any enrichment between 1.75 wt% 2 3'U and 5.0 wt%235U may be used.3. Linear interpolation between decay times is permitted.

However, an assembly with a decay time greater than 20 years must use the 20 years limits.Table 5-9 Fuel Category 5: Burnup Requirements (GWd/MTU), Fuel Not Operated During Cycles 1-4 Wt% 2 3 1U Decay Time (yr) 1.75 3.40 4.00 4.50 5.00 0 0 24.741 31.906 37.991 44.636 5 0 23.230 30.284 36.052 41.961 10 0 22.116 28.988 34.467 39.841 15 0 21.108 27.867 32.827 37.017 20 0 20.564 27.390 32.167 35.773 Notes: 1. This table is included as an example, the burnup limits will be calculated using the coefficients provided.WCAP-17400-NP July 2011 Revision 0 5-6 Table 5-10 Fuel Category 6: Burnup Requirement Coefficients, Fuel Not Operated During Cycles 1-4 Coefficients Decay Time (yr) A, A 2 A, A 4 0 0.567 -6.205 35.936 -45.944 5 0.923 -9.720 45.538 -53.858 10 0.728 -7.992 40.264 -48.929 15 0.343 -4.016 27.236 -36.380 20 0.283 -3.391 24.925 -33.963 Notes: 1. All relevant uncertainties are explicitly included in the criticality analysis.

For instance, no additional allowance for burnup uncertainty or enrichment uncertainty is required.

For a fuel assembly to meet the requirements of a Fuel Category, the assembly burnup must exceed the "minimum burnup" (GWd/MTU)given by the curve fit for the assembly "decay time" and "initial enrichment." The specific minimum burnup required for each fuel assembly is calculated from the following equation: BU=A,

• En 3 +A,* En2 +A 3

• En+A, 2. Initial enrichment, En, is the nominal 2 3 5 U enrichment.

Any enrichment between 1.7 wt% 2 3 5 U and 5.0 wt%235U may be used.3. Linear interpolation between decay times is permitted.

However, an assembly with a decay time greater than 20 years must use the 20 years limits.Table 5-11 Fuel Category 6: Burnup Requirements (GWd/MTU), Fuel Not Operated During Cycles 1-4 Wt% 2 3 5 U Decay Time (yr) 1.70 3.40 4.00 4.50 5.00 0 0 26.794 34.808 41.785 49.486 5 0 24.886 31.846 38.341 46.207 10 0 24.194 30.847 36.760 43.591 15 0 23.279 30.260 36.114 42.275 20 0 22.705 29.593 35.320 41.262 Notes: 1. This table is included as an example, the burnup limits will be calculated using the coefficients provided.WCAP- 17400-NP July 2011 Revision 0 5-7 5.1.2 Burnup Requirements for Fuel Operated during Cycles 1-4 Table 5-12 Fuel Category 3: Burnup Requirement Coefficients, Fuel Operated During Cycles 1-4 Coefficients Decay Time (yr) A, A 2 A 3 A 4 0 0.000 -0.722 14.272 -31.167 20 0.000 -1.944 20.494 -39.085 Notes: 1. All relevant uncertainties are explicitly included in the criticality analysis.

For instance, no additional allowance for burnup uncertainty or enrichment uncertainty is required.

For a fuel assembly to meet the requirements of a Fuel Category, the assembly burnup must exceed the "minimum burnup" (GWd/MTU)given by the curve fit for the assembly "decay time" and "initial enrichment." The specific minimum burnup required for each ftiel assembly is calculated from the following equation: BU =A,

• En 3+ A 2* En 2 +A 3

• En +A 4 2. Initial enrichment, En, is the nominal 2 3 5 U enrichment.

Any enrichment between 2.5 wt% 2 3 5 U and 3.4 wt%235U may be used.3. An assembly with a decay time greater than 20 years must use the 20 years limits.1 Table 5-13 Fuel Category 3: Burnup Requirements (GWd/MTU), Fuel Operated During Cycles 1-4 Wt% 2 3 5 U Decay Time (yr) 2.50 3.00 3.40 0 0 5.151 9.011 20 0 4.901 8.122 Notes: I. This table is included as an example, the burnup limits will be calculated using the coefficients provided.WCAP- 17400-NP July 2011 WCAP- 17400-NP July 2011 Revision 0 5-8 Table 5-14 Fuel Category 5: Burnup Requirement Coefficients, Fuel Operated During Cycles 1-4 Coefficients Decay Time (yr) A, A 2 A 3 A 4 0 0.673 -8.242 44.607 -56.428 20 1.784 -16.297 60.035 -64.713 Notes: 1. All relevant uncertainties are explicitly included in the criticality analysis.

For instance, no additional allowance for burnup uncertainty or enrichment uncertainty is required.

For a fuel assembly to meet the requirements of a Fuel Category, the assembly burnup must exceed the "minimum burnup" (GWd/MTU)given by the curve fit for the assembly "decay time" and "initial enrichment." The specific minimum burnup required for each fuel assembly is calculated from the following equation: BU =A

• En 3 + A 2

• En 2 +A 3

• En +A 4 2. Initial enrichment, En, is the nominal 2 3 U enrichment.

Any enrichment between 1.75 wt% 2 3 5 U and 3.4 wt%235U may be used.3. An assembly with a decay time greater than 20 years must use the 20 years limits.Table 5-15 Fuel Category 5: Burnup Requirements (GWd/MTU), Fuel Operated during Cycles 1-4 Wt% 2 3 5U Decay Time (yr) 1.75 2.50 3.00 3.40 0 0 14.093 21.386 26.410 20 0 11.393 16.887 21.131 Notes: 1. This table is included as an example, the burnup limits will be calculated using the coefficients provided.WCAP-17400-NP July 2011 Revision 0 5-9 Table 5-16 Fuel Category 6: Burnup Requirement Coefficients, Fuel Operated During Cycles 1-4 Coefficients Decay Time (yr) A, A 2 A 3 A 4 0 1.097 -10.246 47.457 -56.456 20 1.820 -15.656 56.856 -60.351 Notes: I. All relevant uncertainties are explicitly included in the criticality analysis.

For instance, no additional allowance for burnup uncertainty or enrichment uncertainty is required.

For a fuel assembly to meet the requirements of a Fuel Category, the assembly bUrnup must exceed the "minimum burnup" (GWd/MTU)given by the curve fit for the assembly "decay time" and "initial enrichment." The specific minimum burnup required for each fuel assembly is calculated from the following equation: BU -A,

• En 3 +A,

• En 2 +A 3

• En +.A 4 2. Initial enrichment, En, is the nominal 2 3 5 U enrichment.

Any enrichment between 1.7 wt% 2 3 1 5 U and 3.4 wt%235U may be used.3. An assembly with a decay time greater than 20 years must use the 20 years limits.Table 5-17 Fuel Category 6: Burnup Requirements (GWd/MTU) , Fuel Operated during Cycles 1-4 Wt% 2 3"U Decay Time (yr) 1.70 2.50 3.00 3.40 0 0 15.290 23.320 29.571 20 0 12.377 18.453 23.509 Notes: 1. This table is included as an example, the burnup limits will be calculated using the coefficients provided.5.1.3 Decay Time Interpolation This analysis has provided burnup requirements at discrete decay times however, it is acceptable to interpolate between these decay times to determine burnup limits at alternate decay times. Using linear interpolation between two already analyzed decay times will give a conservative burnup requirement for the decay time in question.

This is acceptable because isotopic decay is an exponential function which means assembly reactivity will decay faster than calculations using linear interpolation would predict.5.2 RODDED OPERATION Prairie Island has experienced load follow operation in the past as evaluated in Section 4.3. The study of past rodded operation has shown that those fuiel assemblies which experienced rodded operation are bounded by the design basis assemblies used to develop the burnup requirements defined in Section 5.1.WCAP- 17400-NP July 2011 Revision 0 5-10 For fuel not operated during Cycles 1-4, an assembly in a rodded location can be stored utilizing the burnup requirements provided in Section 5.1, provided that the assembly has been exposed to rodded operation for no more than I GWd/MTU of core average burnup. If an assembly experiences more than I GWd/MTU of core average rodded operation, the assembly shall either be treated as Fuel Category I or evaluated to determine which Fuel Category is appropriate for safe storage of the assembly.5.3 INTERFACE CONDITIONS The Prairie Island SFP uses racks that are all of the same physical configuration.

Therefore, the only interface conditions that need to be addressed in this analysis are those between different fuel storage arrays. To ensure that the interface between fuel storage arrays is bounded by this analysis, a restriction requiring that each fuel assembly loaded in the SFP meets the requirements of a storage array, is placed upon fuel loading.The requirement to check all possible arrays considers each storage cell as part of up to four arrays; one each where the cell is the top left, top right, bottom left and bottom right cell of the array. All four of these arrangements must match one of the acceptable storage arrays, but all arrangements will not necessarily match the same storage array. The application of this requirement will automatically establish rows or columns of boundary cells at the interface, if required.

These boundary cells conservatively fulfill the requirements of cells on each side of the interface.

Following these rules ensures that every assembly is loaded in arrays that match an analyzed condition, and therefore no interface-specific analyses are required except for the Array A -Array F interface discussed in Section 4.4.3. Gaps between rack modules are conservatively neglected, i.e., cells located across a rack-to-rack gap are considered the same as cells directly facing each other within a rack.5.4 NORMAL CONDITIONS The purpose of this section is to summarize the conclusions of the evaluation of normal SFP operations performed in Section 4.3.5.4.1 Type 1 Normal Conditions Any component designed to reside in the guide tubes of a fuel assembly can be stored in an assembly's guide tubes in the SFP.5.4.2 Type 2 Normal Conditions Fuel assembly evolutions (fuel cleaning, inspection, reconstitution, and sipping) occurring outside of the storage racks is acceptable while there is at least one assembly pitch of water between the assembly in question, other assemblies and the storage racks. It is also acceptable to perform these actions above the top of the storage racks.WCAP-17400-NP July 2011 Revision 0 5-11 5.4.3 Type 3 Normal Conditions Components in the spent fuel pool which do not contain any fissile material can be stored in any cell that would allow the storage of a fuel assembly of any fuel category.

This analysis has confirmed the acceptable storage of the following non-fuel assembly components:

• Consolidated fuel can be stored in Array F as Fuel Category 7 fuel;" Failed fuel baskets, damaged fuel storage baskets, and filter assemblies can be stored in any location where fuel assemblies can be stored;* A non-fuel cell of Array F may contain damaged or compacted fuel assembly components provided that it is either less than three assemblies worth of structural material (excluding top and bottom nozzles), stacks of any number of top nozzles or bottom nozzles, or a cell can instead contain up to 50% (by volume) of components made of SS-304; and* There are movable incore detectors being stored in the SFP together with their associated thimble tubes. These movable incore detectors may be stored together in any location where a fuel assembly can be stored.5.4.4 Type 4 Normal Conditions The placement of any non-fissile components or structures along the edge or top of the rack is acceptable.

5.4.5 Type 5 Normal Conditions Any storage cells considered damaged (outside of their allowable tolerances) cannot be used to store fuel assemblies without further evaluation.

These damaged cells may be used to store non-fuel assembly components such as failed fuel baskets or credited as empty cells in a storage array.Fuel handling tools may be used for their individual intended purposes without impacting the results and conclusions of this analysis.5.5 SOLUBLE BORON CREDIT Soluble boron is credited in the Prairie Island SFP to keep keff < 0.95 under all nonnal and credible accident scenarios.

Under normal conditions, this requires less than 400 ppm of soluble boron. Under accident conditions, 910 ppm of soluble boron is required to ensure krffr_ 0.95, this leaves significant margin to the required Technical Specification value of 1800 ppm.WCAP-17400-NP July 2011 Revision 0 6-1 6 REFERENCES I. M. Ouisloumen, H. Huria, et al, "Qualification of the Two-Dimensional Transport Code PARAGON," WCAP-16045-P-A, Westinghouse Electric Company, Pittsburgh, PA, August 2004.2. MacFarlane R.E., "NJOY91.118:

A code System For Producing Pointwise And Multigroup Neutron and Photon Cross Sections From ENDF/B Evaluated Nuclear Data", ORNL., RSIC, PSR-171(1994)3. "SCALE: A Modular Code System for Performing Standard Computer Analyses for Licensing Evaluation," ORNL/TM-2005/39, Version 5.1, Vols. 1-111, November 2006. Available from Radiation Safety Information Computational Center at Oak Ridge National Laboratory as CCC-732.4. Nguyen, T. Q. et al., "Qualification of the PHOENIX-P/ANC Nuclear Design System for Pressurized Water Reactor Cores," WCAP- 11596-P-A, Westinghouse Electric Company, Pittsburgh, PA, June, 1988.5. S. M. Bowman et al. "Experience With the SCALE Criticality Safety Cross-Section Libraries," NUREG/CR-6686, October 2000.6. Code of Federal Regulations, Title 10, Part 50, Section 68, "Criticality Accident Requirements".

7. C. V. Parks et al., "Review and Prioritization of Technical Issues Related to Burnup Credit for LWR Fuel", NUREG/CR-6665, Oak Ridge National Laboratory, Oak Ridge, TN, February 2000.8. W.B. Henderson, "FIGHTH -A Simplified Calculation of Effective Temperatures in PWR Fuel Rods for Use in Nuclear Design", WCAP-9522., Westinghouse Electric Company, Pittsburgh, PA, May 1979.9. C. E. Sanders et al., "Study of the effect of Integral Burnable Absorbers for PWR Burnup Credit", NUREG/CR-6760, Oak Ridge National Laboratory, Oak Ridge, TN, March 2002.10. K. Wood, "Draft Staff Guidance Regarding the Nuclear Criticality Safety Analysis for Spent Fuel Pools." DSS-ISG-2010-1, Accession Number ML 102220567, Nuclear Regulatory Commission, Rockville, MD, August 2010.11. J. C. Wagner, et al., "Recommendations for Addressing Axial BuMup in PWR Bumup Credit Analyses", NUREG/CR 6801, Oak Ridge National Laboratory, Oak Ridge, TN, March 2003 12. J. C. Wagner, et al., "NRC/ORNL Methods Presentation on Spent Nuclear Fuel Burnup Credit Analysis Validation," NRC HQ Rockville, MD, September 2010.13. M. G. Anness, et al., "Point Beach Units 1 and 2 Spent Fuel Pool Criticality Safety Analysis", WCAP-16541-NP Rev. 2, June 2008.14. C. E. Sanders, et al., "Parametric Study of the Effects of Control Rods on PWR Burnup Credit", NUREG/CR-6759, Oak Ridge National Laboratory, Oak Ridge, TN, February 2002 WCAP-17400-NP July 2011 Revision 0 6-2 15. L. 1. Kopp, "Guidance on the Regulatory Requirements for Criticality Analysis of Fuel Storage at Light-Water Reactor Power Plants", Nuclear Regulatory Commission, Rockville, MD, August 1998.WCAP-17400-NP July 2011 Revision 0 A-I APPENDIX A VALIDATION OF SCALE 5.1 A.1 INTRODUCTION This section summarizes the validation of the SCALE Version 5.1 code system (Reference A l).]a,c The methodology validated in this section is based on the use of the CSAS25, NITAWL-ll, BONAMI, and KENO V.a (KENO) modules of the SCALE code system.This validation is applicable to fresh and spent fuel storage. It also covers the criticality analysis for any movement of fuel from the SFP to the core or cask loading and other nonrmal operations in the SFP. The validation is adequate to cover all present and anticipated (non-mixed-oxide)

LWR fuel designs. The area of applicability is discussed in more detail in subsection A.5.4.A.2 CALCULATIONAL METHOD The analysis methodology employs SCALE Version 5.1, as documented in Reference Al, using a 44-group Evaluated Nuclear Data File Version 5 (ENDF/B-V) neutron cross section library.The SCALE system was developed for the NRC to satisfy the need for a standardized method of analysis for evaluation of nuclear fuel facilities and shipping package designs. The SCALE version that is utilized here is a code system that runs on LINUX clusters and includes the control module CSAS25 and the following functional modules: BONAMI, NITAWL-II, and KENO.Standard material compositions are employed in the SCALE analyses consistent with the material descriptions in References A3 through A8.All calculations are performed on systems with the following hardware and software characteristics:

• SCALE Version 5.1* SUSE Linux 9.0 and 10.0 Correct installation and operation of the SCALE code system is verified by performing test cases on the platforms described above. The validation and verification were performed on the same platform as the safety analysis.A.3 VALIDATION METHOD pac WCAP- 17400-NP July 2011 Revision 0 A-2 A description of the critical experiments modeled is contained in Section A.4. The results and area of applicability are contained in Section A.5.A.3.1 Determination of Bias and Bias Uncertainty

]a,c WCAP- 17400-NP July 2011 Revision 0 A-3 II]asc WCAP- 17400-NP July 2011 Revision 0 A-4 I]ac A.3.2 Test for Normal Distribution

]a.c A.3.3 Identify Trends in the Data I 'IC WCAP-17400-NP July 2011 Revision 0 A-5 I]a,c WCAP-1 7400-NP July 2011 Revision 0 A-6 WCAP- 17400-NP July 2011 Revision 0 A-7]a,c A.4 CRITICAL EXPERIMENT DESCRIPTION

]ac A.4.1 []ac WCAP- 17400-NP July 2011 Revision 0 A-8 I] ac A.4.2 [Ia.C[I ac WCAP- 17400-NP July 2011 Revision 0 A-9 I a.,c WCAP- 17400-NP July 2011 Revision 0 A-10 A.4.3 I Ia.c I]aIc A.4.4 t I a,c I] as WCAP- 17400-NP July 2011 Revision 0 A-11 A.4.5 []a.c]a,c WCAP-17400-NP July 2011 Revision 0 A-12[ ]a~c A.4.6 I a,c WCAP- 17400-NP July 2011 Revision 0 A- 13 I]a,c A.4.7 I Sa,c[]a,c A.4.8 I Sa,c II Sac WCAP-17400-NP July 2011 Revision 0 A-14[]a,c WCAP- 17400-NP July 2011 Revision 0 A-15 II]a.c A.4.9 I Ia,c I]ac WCAP- 17400-NP July 2011 Revision 0 A- 16 Sa,c[]a.c WCAP- 17400-NP July 2011 Revision 0 A-17 I]a,c A.4.10 [Ila,c I I aýc WCAP- 17400-NP July 2011 WCAP- 17400-NP July 2011 Revision 0 A-18]a,c A.5 RESULTS This section presents the results of the validation analysis.

This includes the raw calculational results, the calculation of the bias and bias uncertainty, the detailed statistical trending results, and the definition of the AOA.A.5.1 Raw Calculational Results Table A-I shows the raw calculational results for each of the critical experiments considered in this validation.

WCAP- 17400-NP July 2011 WCAP- 17400-NP July 2011 Revision 0 A-19 Table A-1 Raw Calculational Results axc WCAP- 17400-NP July 2011 Revision 0 A-20 ac WCAP- 17400-NP July 2011 Revision 0 A-21 a,c WCAP- 17400-NP July 2011 Revision 0 A-22 axc WCAP-17400-NP July 2011 Revision 0 A-23 axc WCAP- 17400-NP July 2011 Revision 0 A-24 a,c WCAP- 17400-NP July 2011 Revision 0 A-25 a.c WCAP- 17400-NP July 2011 Revision 0 A-26 ac WCAP- 17400-NP July 2011 Revision 0 A-27 ac WCAP- 17400-NP July 2011 Revision 0 A-28 axc WCAP- 17400-NP July 2011 Revision 0 A-29 a,c WCAP-17400-NP July 2011 Revision 0 A-30 ax WCAP- 17400-NP July 2011 Revision 0 A-31 axC WCAP- I 7400-NP July 2011 Revision 0 A-32 axc WCAP-17400-NP July 2011 Revision 0 A-33 A.5.2 Determination of Bias and Bias Uncertainty and Normality Check la~c I Table A-2 Ia,C a,c WCAP- 17400-NP July 2011 Revision 0 A-34 i Table A-3 I Ia.c II "" 'I a,c Table A-4 Iac .-,a,c WCAP- 17400-NP July 2011 Revision 0 A-35__ Table A-5 iac-a,c]a,c A.5.3 Trending Analysis I ac A.5.3.1 I Ia,c]a,c July 2011 Revision 0 WCAP-17400-NP A-36]a,c a,c Figure A-I ]a~c Table A-6. ]a'c _ a,c m WCAP-17400-NP July 2011 Revision 0 A-37]ac a,c Figure A-2 ]ac WCAP-17400-NP July 2011 Revision 0 A-38-Table A-7 [ a,c]a,c WCAP- 17400-NP July 2011 Revision 0 A-39 a,c Figure A-3 I Ia,c 11 Table A-8 I I .c 1 -a,c I WCAP- 17400-NP]ac July 2011 Revision 0 A-40]a~c ac Figure A-4 I 2ac Table A-9 a. a,c WCAP- 17400-NP July 2011 Revision 0 A-41 I]a~c Figure A-5 I la,C WCAP-17400-NP July 2011 Revision 0 A-42 Table A-1O ] a,c]a,c WCAP- 17400-NP July 2011 WCAP- 17400-NP July 2011 Revision 0 A-43 ac Figure A-6 8,C T Table A-1i I Ia2c[ja.c WCAP- 17400-NP July 2011 Revision 0 A-44 I]a,c I Table A-12 I 11,c a,c WCAP- 17400-NP July 2011 Revision 0 A-45 Table A-13 I Ia.c A.5.3.2 ac]a,c WCAP-1 7400-NP July 2011 WCAP-17400-NP July 2011 Revision 0 A-46 a,c Figure A-7 [ ]aC-Table A-14 I a,c]ac WCAP- 17400-NP July 2011 Revision 0 A-47 II]a~c.a,c Figure A-8 I IA.c WCAP- 17400-NP July 2011 Revision 0 A-48-Table A-15 [ lac a,c[]a,c WCAP-17400-NP July 2011 Revision 0 A-49 ac Figure A-9 I a,c 11 Table A-16 I IaRX 1 I WCAP- 17400-NP ja, July 2011 Revision 0 A-50 II]a.,c a,c Figure A-10 I Ia,c WCAP- 17400-NP July 2011 Revision 0 A-51-Table A-17[I I I.c 11 a,c]a,c WCAP- 17400-NP July 2011 Revision 0 A -52 Table A-18 Table A-19 [i. c a,c 1-1 _] a~c 17[]a~c WCAP-1 7400-NP July 2011 Revision 0 A-53-Table A-20 A.5.3.3 I i.qC a,c I 2,C]c WCAP-17400-NP July 2011 Revision 0 A-54 a,c Figure A-I1 I Ia.c Table A-21[I I ,.C ac WCAP- 17400-NP]a,c July 2011 Revision 0 A-55]a~c a,c Figure A-12 I ]a,c-Table A-22 [ ic a,c WCAP- 17400-NP July 2011 Revision 0 A-56 I]a.c a,c Figure A-13 [Ia,c WCAP-17400-NP July 2011 Revision 0 A-57 Table A-23 I ac[pac WCAP- 17400-NP July 2011 Revision 0 A-58 a,c la,c Figure A-14 I 1.Table A-24 Ia.C a,c]a,c WCAP- 17400-NP July 2011 Revision 0 A-59 aa~c Figure A-15 [a WCAP- 17400-NP July 2011 Revision 0 A-60 Table A-25 I Iac[I]a,c WCAP-1 7400-NP July 2011 WCAP- 17400-N P July 2011 Revision 0 A-61 a,c Figure A-16]la,c 1 Table A-26 I~a.c c WCAP- 17400-NP July 2011 Revision 0 A-62 II]a,c Table A-27 I Ia.c a,c Table A-28 I I 2a,C ac WCAP- 17400-NP July 2011 Revision 0 A-63 Table A-29 A.5.3.4 Summary of Trend Results[I R 11ac]a,c WCAP- 17400-NP July 2011 Revision 0 A-64 I]..c 11 Table A-30 I Ias a.c A.5.4 Non-Parametric Treatment II]ac WCAP-17400-NP July 2011 Revision 0 A-65 Table A-31 I lac a,c A.5.5 Area of Applicability Definition The area of applicability (AOA) of this benchmark is defined by the range of parameters in the validation suite. Table A-32 summarizes the Areas of Applicability.

WCAP-17400-NP July 2011 Revision 0 A-66 1 Table A-32 Area of Applicability a,c I WCAP- 17400-NP July 2011 Revision 0 A-67 A.6

SUMMARY

OF THE BIAS AND BIAS UNCERTAINTY Table A-33 summarizes the results of the validation.

-1 Table A-33 Summary of Bias and Bias Uncertainty ac WCAP- 17400-NP July 2011 Revision 0 A-68 REFERENCES A I."SCALE:

A Modular Code System for Performing Standardized Computer Analyses for Licensing Evaluation," ORNL/TM-2005/39, Version 5.1, Vols I-Ill, November 2006. Available from Radiation Safety Information Computational Center at Oak Ridge National Laboratory as CCC-732.A2.[pc.A3.[A4.[]ac]a.A5. []ac A6. []ac A7. []ac A8. [pac A9. [pac WCAP- 17400-NP July 2011 Revision 0