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{{#Wiki_filter:ATTACHMENT 1 CDI REPORT NO. 10-09NP, ACM REV. 4.1: METHODOLOGY TO PREDICT FULL SCALE STEAM DRYER LOADS FROM IN-PLANT MEASUREMENTS, REVISION 3 (NON-PROPRIETARY)
{{#Wiki_filter:ATTACHMENT 1 CDI REPORT NO. 10-09NP, ACM REV. 4.1: METHODOLOGY TO PREDICT FULL SCALE STEAM DRYER LOADS FROM IN-PLANT MEASUREMENTS, REVISION 3 (NON-PROPRIETARY)
Certain information, considered proprietary by Continuum Dynamics Incorporated, has been deleted from this Attachment.
Certain information, considered proprietary by Continuum Dynamics Incorporated, has been deleted from this Attachment. The deletions are identified by double square brackets.
The deletions are identified by double square brackets.Nine Mile Point Nuclear Station, LLC February 4,2011 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information C.D.I. Report No. 10-09NP ACM Rev. 4.1: Methodology to Predict Full Scale Steam Dryer Loads from In-Plant Measurements Revision 3 Prepared by Continuum Dynamics, Inc.34 Lexington Avenue Ewing, NJ 08618 Prepared by Milton E. Teske Approved by Oa4 Alan J. Bilanin January 2011 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Executive Summary Measured in-plant pressure time-history data in the four main steam lines of Quad Cities Unit 2 (QC2), inferred from strain gage data collected at two positions upstream of the ERV standpipes on each of the main steam lines, are used with Continuum Dynamics, Inc.'s acoustic circuit model of the QC2 steam dome and steam lines to predict steam dryer loads. The strain gage data are first converted to pressures, and are then used to extract acoustic sources in the system. Once these sources are obtained, the model is used to predict the pressure time histories at locations on the steam dryer where pressure sensors were positioned.
Nine Mile Point Nuclear Station, LLC February 4,2011
These predictions are then compared against data from the pressure sensors, and model bias and uncertainty are evaluated.
 
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information C.D.I. Report No. 10-09NP ACM Rev. 4.1: Methodology to Predict Full Scale Steam Dryer Loads from In-Plant Measurements Revision 3 Prepared by Continuum Dynamics, Inc.
34 Lexington Avenue Ewing, NJ 08618 Prepared by Milton E. Teske Approved by Oa4 Alan J. Bilanin January 2011
 
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Executive Summary Measured in-plant pressure time-history data in the four main steam lines of Quad Cities Unit 2 (QC2), inferred from strain gage data collected at two positions upstream of the ERV standpipes on each of the main steam lines, are used with Continuum Dynamics, Inc.'s acoustic circuit model of the QC2 steam dome and steam lines to predict steam dryer loads. The strain gage data are first converted to pressures, and are then used to extract acoustic sources in the system. Once these sources are obtained, the model is used to predict the pressure time histories at locations on the steam dryer where pressure sensors were positioned. These predictions are then compared against data from the pressure sensors, and model bias and uncertainty are evaluated.
These results provide a revised model that bounds the pressure loads on a steam dryer, and thereby enables the dryer to be analyzed structurally for its fitness during power ascension and EPU operations.
These results provide a revised model that bounds the pressure loads on a steam dryer, and thereby enables the dryer to be analyzed structurally for its fitness during power ascension and EPU operations.
i This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Table of Contents Section Page Executive Summary ..................................................................
i
i Table of C ontents .....................................................................
 
ii 1. Introduction  
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Table of Contents Section                                                                                       Page Executive Summary ..................................................................       i Table of C ontents ..................................................................... ii
............................................................................
: 1. Introduction ............................................................................ 1
1 2. Overview of Methodology  
: 2. Overview of Methodology ..........................................................         3 2.1 Helmholtz Analysis ...........................................................         3 2.2 Acoustic Circuit Analysis ....................................................         3 2.3 Low Frequency Contribution ..............................................             4 2.4 Modeling Parameters .........................................................         4 2.5 Model Assembly and Algorithm ...........................................               5 2.6 Pressure Location Solution ..................................................         6
..........................................................
: 3. Quad Cities Unit 2 Instrumentation and Plant Data .............................             8
3 2.1 Helmholtz Analysis ...........................................................
: 4. Low Frequency Hydrodynamic Load Contribution ............................                   9
3 2.2 Acoustic Circuit Analysis ....................................................
: 5. Noise Reduction in Measured Main Steam Line Data ..........................                 11 5.1 Coherence Filtering ...........................................................       11 5.2 Application to QC2 Data ....................................................           12
3 2.3 Low Frequency Contribution  
: 6. Model Predictions and Comparisons ..............................................           22
..............................................
: 7. Model Uncertainty ...................................................................     32
4 2.4 Modeling Parameters  
: 8. Application to QC2 Steam Dryer ..................................................         34
.........................................................
: 9. C onclusions ........................................................................... 39
4 2.5 Model Assembly and Algorithm  
: 10. R eferences ............................................................................. 40 ii
...........................................
 
5 2.6 Pressure Location Solution ..................................................
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information
6 3. Quad Cities Unit 2 Instrumentation and Plant Data .............................
: 1. Introduction In the spring of 2005, Exelon Generation LLC installed new steam dryers into its Quad Cities Unit 2 (QC2) and Quad Cities Unit 1 nuclear power plants. The replacement design, developed by General Electric, sought to improve dryer performance and overcome structural inadequacies identified on the original dryers. The design had been previously analyzed by extrapolating acoustic circuit model predictions from the original dryer to produce expected full-scale vulnerability loads [1] and from modeling the new dryer in the SMT (subscale model test) to produce corresponding loads from subscale data [2]. The QC2 dryer was instrumented with pressure sensors at 27 locations, and these data could be used to validate the acoustic circuit model. These pressure data formed the set of data to be first predicted (blind evaluation) and then corrected (modified evalution) utilizing only data measured on the main steam lines. Data collection was undertaken at 790 MWe (2493 MWt), just short of Original Licensed Thermal Power (OLTP) conditions, and at 930 MWe (2885 MWt), near Extended Power Uprate (EPU) conditions. At QC2, OLTP is rated at 2511 MWt, while EPU is rated at 2957 MWt.
8 4. Low Frequency Hydrodynamic Load Contribution  
Scaling analysis has shown that the unsteady pressure P' must scale as Pr               U,       pUD L,     L2/
............................
(1.1) 1I -   -fcn( M = a - Re -=p D L         L 2 2
9 5. Noise Reduction in Measured Main Steam Line Data ..........................
where M is the Mach number, Re is the Reynolds number, U is the main steam line flow speed, a is the acoustic speed, p is the fluid density, D is the diameter of the main steam line, ýt is the fluid viscosity, and L, L 1, L2, ... are lengths. Tabulation of the EPU Mach numbers for plants seeking EPU licenses are shown in Table 1.1, and show that the QC2 790 MWe data (at OLTP conditions) have a Mach number representative of these plants and that this dataset is the appropriate one to examine.
11 5.1 Coherence Filtering  
The overall results, encompassing (1) a blind evaluation at 790 MWe, (2) a modified evaluation at 790 MWe, (3) a blind evaluation at 930 MWe, (4) a modified evaluation at 930 MWe, (5) a pressure sensor evaluation at 930 MWe, and (6) a strain gage and pressure sensor evaluation at 930 MWe, are described in [3]. A later blind evaluation at 912 MWe (2831 MWt) and an evaluation at 842 MWe (2493 MWt) are described in [4]. The accuracy of these model predictions was judged by model agreement with data at six of the pressure sensors mounted on the steam dryer. Following further review, it became clear that, although model evaluations (4) and (6) tracked the data well for most pressure sensors, the data from several of the pressure sensors were under-predicted in the critical frequency range of 145 Hz to 165 Hz. Thus, Exelon requested that model parameters be re-examined to see whether a better comparison with the pressure sensor data could be achieved. That effort resulted in a model that matched the mean of the root mean square (RMS) of the pressure data at the 27 sensors on the QC2 dryer [5].
...........................................................
Later work (reported in [6]) developed acoustic circuit model parameters which resulted in dryer pressure load predictions on the outer bank hoods of the steam dryer that bounded the pressure loads measured there, and therefore provided steam dryer load predictions more 1
11 5.2 Application to QC2 Data ....................................................
 
12 6. Model Predictions and Comparisons  
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information conservative than those reported previously. [[
..............................................
Table 1.1. Estimated Main Steam Line Mach numbers for plants seeking EPU license.
22 7. Model Uncertainty  
Plant                   EPU MSL Mach Number Browns Ferry             0.100 Hope Creek               0.105 Monticello               0.113 Laguna Verde             0.111 Nine Mile Point         0.110 Susquehanna             0.100 Vermont Yankee           0.109 Plant                 I OLTP MSL Mach Number Quad Cities Unit 2       0.105 2
...................................................................
 
32 8. Application to QC2 Steam Dryer ..................................................
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information
34 9. C onclusions  
: 2. Overview of Methodology The QC2 steam supply system is divided into two distinct analyses: a Helmholtz solution within the steam dome and an acoustic circuit analysis in the main steam lines. This section of the report highlights the two approaches taken here. All analyses are undertaken in frequency space and the pressure P used here is the Fourier transformed pressure.
...........................................................................
2.1 Helmholtz Analysis The three-dimensional geometry of a steam dome and steam dryer is rendered onto a uniformly-spaced rectangular grid, and a solution is obtained for the Helmholtz equation a 2p    a2 p a 2 p (02     V p o2
39 10. R eferences  
              *--+-02+  - +--       =Vp+a2P =         0-                                 (2.1) where P is the pressure at a grid point, co is frequency, and a is complex acoustic speed. This equation is solved at 5 Hz increments from 0 to 250 Hz, subject to the boundary conditions
.............................................................................
        -dP = 0                                                                         (2.2) dn normal to all solid surfaces (the steam dome wall and interior and exterior surfaces of the dryer),
40 ii This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information
dP d - io)Z P                                                                     (2.3) dn     a normal to the nominal water level surface, and unit pressure applied to one inlet to a main steam line and zero applied to the other three. In all of the equations presented here, i = _.-T, and time dependence of the form eimot is implied. The Helmholtz solutions have been shown to vary slowly between the 5 Hz increments chosen here [8].
: 1. Introduction In the spring of 2005, Exelon Generation LLC installed new steam dryers into its Quad Cities Unit 2 (QC2) and Quad Cities Unit 1 nuclear power plants. The replacement design, developed by General Electric, sought to improve dryer performance and overcome structural inadequacies identified on the original dryers. The design had been previously analyzed by extrapolating acoustic circuit model predictions from the original dryer to produce expected full-scale vulnerability loads [1] and from modeling the new dryer in the SMT (subscale model test)to produce corresponding loads from subscale data [2]. The QC2 dryer was instrumented with pressure sensors at 27 locations, and these data could be used to validate the acoustic circuit model. These pressure data formed the set of data to be first predicted (blind evaluation) and then corrected (modified evalution) utilizing only data measured on the main steam lines. Data collection was undertaken at 790 MWe (2493 MWt), just short of Original Licensed Thermal Power (OLTP) conditions, and at 930 MWe (2885 MWt), near Extended Power Uprate (EPU)conditions.
2.2 Acoustic Circuit Analysis The Helmholtz solution within the steam dome is coupled to an acoustic circuit solution in the main steam lines. Pulsation in a single-phase compressible medium, where acoustic wavelengths are long compared to component dimensions, and in particular long compared to transverse dimensions (directions perpendicular to the primary flow directions), lend themselves to application of the acoustic circuit methodology. If the analysis is restricted to frequencies below 250 Hz, acoustic wavelengths are approximately six feet in length, and wavelengths are therefore long compared to most components of interest, such as branch junctions.
At QC2, OLTP is rated at 2511 MWt, while EPU is rated at 2957 MWt.Scaling analysis has shown that the unsteady pressure P' must scale as Pr U, pUD L, L2/1I --fcn( M = -a Re -= p D L L 2 (1.1)2 where M is the Mach number, Re is the Reynolds number, U is the main steam line flow speed, a is the acoustic speed, p is the fluid density, D is the diameter of the main steam line, ýt is the fluid viscosity, and L, L 1 , L2, ... are lengths. Tabulation of the EPU Mach numbers for plants seeking EPU licenses are shown in Table 1.1, and show that the QC2 790 MWe data (at OLTP conditions) have a Mach number representative of these plants and that this dataset is the appropriate one to examine.The overall results, encompassing (1) a blind evaluation at 790 MWe, (2) a modified evaluation at 790 MWe, (3) a blind evaluation at 930 MWe, (4) a modified evaluation at 930 MWe, (5) a pressure sensor evaluation at 930 MWe, and (6) a strain gage and pressure sensor evaluation at 930 MWe, are described in [3]. A later blind evaluation at 912 MWe (2831 MWt)and an evaluation at 842 MWe (2493 MWt) are described in [4]. The accuracy of these model predictions was judged by model agreement with data at six of the pressure sensors mounted on the steam dryer. Following further review, it became clear that, although model evaluations (4)and (6) tracked the data well for most pressure sensors, the data from several of the pressure sensors were under-predicted in the critical frequency range of 145 Hz to 165 Hz. Thus, Exelon requested that model parameters be re-examined to see whether a better comparison with the pressure sensor data could be achieved.
Acoustic circuit analysis divides the main steam lines into elements, which are each characterized by a length L, a cross-sectional area A, a fluid mean density p, a fluid mean flow velocity U, and a fluid acoustic speed a.
That effort resulted in a model that matched the mean of the root mean square (RMS) of the pressure data at the 27 sensors on the QC2 dryer [5].Later work (reported in [6]) developed acoustic circuit model parameters which resulted in dryer pressure load predictions on the outer bank hoods of the steam dryer that bounded the pressure loads measured there, and therefore provided steam dryer load predictions more 1 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information conservative than those reported previously.
3
[[Table 1.1. Estimated Main Steam Line Mach numbers for plants seeking EPU license.Plant EPU MSL Mach Number Browns Ferry 0.100 Hope Creek 0.105 Monticello 0.113 Laguna Verde 0.111 Nine Mile Point 0.110 Susquehanna 0.100 Vermont Yankee 0.109 Plant I OLTP MSL Mach Number Quad Cities Unit 2 0.105 2 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information
 
: 2. Overview of Methodology The QC2 steam supply system is divided into two distinct analyses:
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Application of the acoustic circuit methodology generates solutions for the fluctuating pressure Pn and velocity un in the nth element of the form Pn= [Ane iklnXn + Bn eik2nXn     ieot                                   (2.4) u=       a 2 L+;k nAne k~nXn                   CI (CO+ Unk2n )Bneik2nXn ]eicot     (2.5) where harmonic time dependence of the form e"'t has been assumed. The wave numbers       k 1n and kzn are the two complex roots of the equation kn 2 +na R                             + k     =0 k+iDna 2                                                               (2.6)
a Helmholtz solution within the steam dome and an acoustic circuit analysis in the main steam lines. This section of the report highlights the two approaches taken here. All analyses are undertaken in frequency space and the pressure P used here is the Fourier transformed pressure.2.1 Helmholtz Analysis The three-dimensional geometry of a steam dome and steam dryer is rendered onto a uniformly-spaced rectangular grid, and a solution is obtained for the Helmholtz equation a 2 p a 2 p a 2 p (02 V p o2-+-- =Vp+a2P = 0- (2.1)where P is the pressure at a grid point, co is frequency, and a is complex acoustic speed. This equation is solved at 5 Hz increments from 0 to 250 Hz, subject to the boundary conditions dP-= 0 (2.2)dn normal to all solid surfaces (the steam dome wall and interior and exterior surfaces of the dryer), dP io)Z d -P (2.3)dn a normal to the nominal water level surface, and unit pressure applied to one inlet to a main steam line and zero applied to the other three. In all of the equations presented here, i = _.-T, and time dependence of the form eimot is implied. The Helmholtz solutions have been shown to vary slowly between the 5 Hz increments chosen here [8].2.2 Acoustic Circuit Analysis The Helmholtz solution within the steam dome is coupled to an acoustic circuit solution in the main steam lines. Pulsation in a single-phase compressible medium, where acoustic wavelengths are long compared to component dimensions, and in particular long compared to transverse dimensions (directions perpendicular to the primary flow directions), lend themselves to application of the acoustic circuit methodology.
                            +   nn     a2           nY=
If the analysis is restricted to frequencies below 250 Hz, acoustic wavelengths are approximately six feet in length, and wavelengths are therefore long compared to most components of interest, such as branch junctions.
where fn is the pipe friction factor for element n and Dn is the hydrodynamic diameter for element n. An and Bn are complex constants which are a function of frequency and are determined by satisfying continuity of pressure and mass conservation at element junctions.
Acoustic circuit analysis divides the main steam lines into elements, which are each characterized by a length L, a cross-sectional area A, a fluid mean density p, a fluid mean flow velocity U, and a fluid acoustic speed a.3 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Application of the acoustic circuit methodology generates solutions for the fluctuating pressure Pn and velocity un in the nth element of the form Pn= [Ane iklnXn + Bn eik2nXn ieot u= a 2 L+;k nAne k~nXn (2.4)(2.5)(CO+ Unk2n )Bneik2nXn  
2.3 Low Frequency Contribution (3)]]
]eicot CI where harmonic time dependence of the form e"'t has been assumed. The wave numbers k 1 n and kzn are the two complex roots of the equation kn 2 +na R + k =0 k +iDna 2+ nn a2 nY=(2.6)where fn is the pipe friction factor for element n and Dn is the hydrodynamic diameter element n. An and Bn are complex constants which are a function of frequency and determined by satisfying continuity of pressure and mass conservation at element junctions.
2.4 Modeling Parameters When the steam dryer geometry is defined and the physical parameters at the power level of interest are provided (such as the mean steam flow in the main steam lines), the Helmholtz and acoustic circuit analyses are driven by seven modeling parameters: (1) the damping in the steam dome, (2) the proportionality constant in Equation (2.3) at the steam-froth interface beneath the steam dryer, (3) the proportionality constant in Equation (2.3) at the steam-water interface between the dryer skirt and steam dome, (4) the damping in the main steam lines, (5) the main steam line friction factor, (6) [[
for are 2.3 Low Frequency Contribution (3)]]2.4 Modeling Parameters When the steam dryer geometry is defined and the physical parameters at the power level of interest are provided (such as the mean steam flow in the main steam lines), the Helmholtz and acoustic circuit analyses are driven by seven modeling parameters:
(3)]], and (7) [[                           (3)]]
(1) the damping in the steam dome, (2) the proportionality constant in Equation (2.3) at the steam-froth interface beneath the steam dryer, (3) the proportionality constant in Equation (2.3) at the steam-water interface between the dryer skirt and steam dome, (4) the damping in the main steam lines, (5) the main steam line friction factor, (6) [[(3)]], and (7) [[ (3)]]4 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information 2.5 Model Assembly and Algorithm (3)]5 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information
4
[I (3)]]6 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information (3)]]7 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information
 
: 3. Quad Cities Unit 2 Instrumentation and Plant Data Strain gage pairs were mounted at two locations on the main steam lines, upstream of the ERV standpipes, as summarized in Table 3.1. These data proved reliable throughout the QC2 startup. Pressure sensors were positioned at 27 locations inside and outside the dryer, and were designated P1 to P27. The locations of the transducers can be found in [10]. Sensor P19 appeared to fail during data acquisition but still provided credible information.
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information 2.5 Model Assembly and Algorithm (3)]
The strain gage data were taken at 2000 samples/sec, while the pressure sensor data were taken at 2048 samples/sec, on a different recording system. Thus, the two data sets each included a channel for a trigger. In this way a common zero time could be established for the strain gage pairs and the pressure sensors, so as to eliminate any phasing differences.
5
The sampling rate was sufficient, as the analysis was conducted to 250 Hz.Table 3.1. Location of strain gage pairs on QC2 main steam lines [3]. SG locations are measured from the inside of the steam dome, down the centerline of the MSL.Main Steam Line Upper SG Location (ft) Lower SG Location (fi)A 9.5 41.0 B 9.5 41.3 C 9.5 41.3 D 9.5 41.0 Two sets of data are used in the ACM Rev. 4.1 analysis.
 
The first set of data was taken at a power level of 790 MWe, test condition TC32B, at Original Licensed Thermal Power (OLTP)conditions, as summarized in Table 3.2. These data were recorded prior to installation of Acoustic Side Branches to the QC2 standpipes.
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information
Subsequent to this installation, a second set of data was taken during power ascension, at 156 MWe, test condition TC2, at 26.5% OLTP conditions, as also summarized in Table 3.2.Table 3.2. Summary of the power levels examined with the current methodology.
[I (3)]]
Exelon Data Collection Electric Power Thermal Power MSL Mach Test Condition Date Level (MWe) Level (MWt) Number TC32B (OLTP) 05/10/05 790 2493 0.105 TC2 (Low Power) 04/19/06 156 665 0.024 8 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information
6
: 4. Low Frequency Hydrodynamic Load Contribution (3)]]9 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information (3)]]Figure 4.1. Normalized PSD of entrance source strengths  
 
'9' for QC2 data (790 MWe). The colors indicate the main steam line data plotted.10 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information (3)]]
: 5. Noise Reduction in Measured Main Steam Line Data (3)]]11 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information
7
[[I 12 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information 5.2 Application to QC2 Data[[13 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information QC2 OLTP Original Data 1 0.1 P-o 0.01 0.001 0.0001 10.5 0 50 100 150 200 250 Frequency (Hz)QC2 OLTP Original Data 1 N t-.0.1 0.01 0.001 0.0001 10.5 0 50 100 150 200 250 Frequency (Hz)Figure 5. la. PSD plots of the QC2 OLTP original data: MSL A (top), MSL B (bottom).14 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information QC2 OLTP Original Data 1 N 0.1 0.01 0.001 0.0001 10.5 1 0 50 100 150 200 250 Frequency (Hz)QC2 OLTP Original Data N 0.1 0.01 0.001 0.0001 105 0 50 100 150 200 250 Frequency (Hz)Figure 5.lb. PSD plots of the QC2 OLTP original data: MSL C (top), MSL D (bottom).15 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information QC2 OLTP Data with Excluded Frequencies 1 N 0.1 0.01 0.001 0.0001 10o5 1 10-5 0 50 100 150 200 Frequency (Hz)250 QC2 OLTP Data with Excluded Frequencies N 0.1 0.01 0.001 0.0001 10.5 0 50 100 150 200 Frequency (Hz)250 Figure 5.2a. PSD plots of the QC2 OLTP data with exclusion frequencies removed: MSL A (top), MSL B (bottom).16 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information QC2 OLTP Data with Excluded Frequencies 1 N-o 0.1 0.01 0.001 0.0001 10-5 1 0 50 100 150 200 Frequency (Hz)250 QC2 OLTP Data with Excluded Frequencies A-4 0.1 0.01 0.001 0.0001 10-5 0 50 100 150 200 Frequency (Hz)250 Figure 5.2b. PSD plots of the QC2 OLTP data with exclusion frequencies removed: MSL C (top), MSL D (bottom).17 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information (3)]]Figure 5.3a. Plots of the QC2 OLTP coherence factors y) and 72, for MSL A (top) and MSL B (bottom).
 
The upper factor is yj; the lower factor is y2.18 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information (3)]]Figure 5.3b. Plots of the QC2 OLTP coherence factors y' and Y2, for MSL C (top) and MSL D (bottom).
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information
The upper factor is yj; the lower factor is Y2.19 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information
: 3. Quad Cities Unit 2 Instrumentation and Plant Data Strain gage pairs were mounted at two locations on the main steam lines, upstream of the ERV standpipes, as summarized in Table 3.1. These data proved reliable throughout the QC2 startup. Pressure sensors were positioned at 27 locations inside and outside the dryer, and were designated P1 to P27. The locations of the transducers can be found in [10]. Sensor P19 appeared to fail during data acquisition but still provided credible information. The strain gage data were taken at 2000 samples/sec, while the pressure sensor data were taken at 2048 samples/sec, on a different recording system. Thus, the two data sets each included a channel for a trigger. In this way a common zero time could be established for the strain gage pairs and the pressure sensors, so as to eliminate any phasing differences. The sampling rate was sufficient, as the analysis was conducted to 250 Hz.
[R (3)]]Figure 5.4a. PSD plots of the QC2 OLTP data with coherence filtering applied: MSL A (top), MSL B (bottom).20 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information (3)]]Figure 5.4b. PSD plots of the QC2 OLTP data with coherence filtering applied: MSL C (top), MSL D (bottom).21 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information
Table 3.1. Location of strain gage pairs on QC2 main steam lines [3]. SG locations are measured from the inside of the steam dome, down the centerline of the MSL.
: 6. Model Predictions and Comparisons Previous model evaluation predictions
Main Steam Line         Upper SG Location (ft)       Lower SG Location (fi)
[3-6] provided several comparisons with pressure sensor data at the QC2 dryer sensor locations, for acceptance criteria first suggested by Exelon and later refined by C.D.I. The model parameters used in these studies are summarized in [6].The prior development of the Modified Bounding Pressure model was necessitated by two conditions:
A                       9.5                           41.0 B                       9.5                           41.3 C                       9.5                           41.3 D                       9.5                           41.0 Two sets of data are used in the ACM Rev. 4.1 analysis. The first set of data was taken at a power level of 790 MWe, test condition TC32B, at Original Licensed Thermal Power (OLTP) conditions, as summarized in Table 3.2. These data were recorded prior to installation of Acoustic Side Branches to the QC2 standpipes. Subsequent to this installation, a second set of data was taken during power ascension, at 156 MWe, test condition TC2, at 26.5% OLTP conditions, as also summarized in Table 3.2.
[[(3)]]22 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Figure 6.1.(3)]]ACM Rev. 4.1 pressure predictions at 790 MWe at the dryer pressure sensors: peak maximum (top) and peak minimum (bottom) pressure levels, with data (black curves), ACM Rev. 4.1 predictions (red curves), and ACM Rev. 4 predictions (blue curves). Sensors P13, P14, P16, P23, and P27 are inside the dryer, while P26 is on a mast above the dryer.23 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information (3)]]Figure 6.2a. PSD comparisons at 790 MWe for pressure sensor data (black curves), ACM Rev.4.1 predictions (red curves), and ACM Rev. 4 predictions (blue curves), for P1 (top)and P2 (bottom).24 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information II (3)]]Figure 6.2b. PSD comparisons at 790 MWe for pressure sensor data (black curves), ACM Rev.4.1 predictions (red curves), and ACM Rev. 4 predictions (blue curves), for P3 (top)and P4 (bottom).25 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information (3)]]Figure 6.2c. PSD comparisons at 790 MWe for pressure sensor data (black curves), ACM Rev.4.1 predictions (red curves), and ACM Rev. 4 predictions (blue curves), for P5 (top)and P6 (bottom).26 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information (3)]]Figure 6.2d. PSD comparisons at 790 MWe for pressure sensor data (black curves), ACM Rev.4.1 predictions (red curves), and ACM Rev. 4 predictions (blue curves), for P7 (top)and P8 (bottom).27 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information I[[(3)]]Figure 6.2e. PSD comparisons at 790 MWe for pressure sensor data (black curves), ACM Rev.4.1 predictions (red curves), and ACM Rev. 4 predictions (blue curves), for P9 (top)and P 10 (bottom).28 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information (31]1 Figure 6.2f. PSD comparisons at 790 MWe for pressure sensor data (black curves), ACM Rev.4.1 predictions (red curves), and ACM Rev. 4 predictions (blue curves), for P11 (top) and P12 (bottom).29 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information (3)]]Figure 6.2g. PSD comparisons at 790 MWe for pressure sensor data (black curves), ACM Rev.4.1 predictions (red curves), and ACM Rev. 4 predictions (blue curves), for P18 (top) and P19 (bottom).30 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information I[[(3)]]Figure 6.2h. PSD comparisons at 790 MWe for pressure sensor data (black curves), ACM Rev.4.1 predictions (red curves), and ACM Rev. 4 predictions (blue curves), for P20 (top) and P21 (bottom).31 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information
Table 3.2. Summary of the power levels examined with the current methodology.
: 7. Model Uncertainty (3)]]32 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Bias 0 100 50 0-50-100 100 SI I 'U ACMRev. 4.1.A C M R ev .4 .- ................., I i I , I , I , I , I , I C) 0 0 0> 0 i C) C vt C) W0 C0 0ý 0 It 01 Cý 0> C C r -C>C Frequency Interval (Hz)Uncertainty U ACM Rev. 4.1 80 ACM Rev. 4 6 0 .....--i. ..... ----------------- ---... ..i .........-----C60 4 0 .........  
Exelon           Data Collection   Electric Power   Thermal Power       MSL Mach Test Condition             Date         Level (MWe)       Level (MWt)         Number TC32B (OLTP)             05/10/05             790             2493             0.105 TC2 (Low Power)             04/19/06             156               665             0.024 8
.........0 20-0 CD C> C -Cl Frequency Interval (Hz)Figure 7.1. Comparison of bias and uncertainty values between ACM Rev. 4 and ACM Rev. 4.1.Bias is shown in the upper figure, uncertainty in the lower: ACM Rev. 4.1 (in red), ACM Rev. 4 (in blue).33 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information
 
: 8. Application to QC2 Steam Dryer In this section the QC2 main steam line data will be used as an example of how to apply bias and uncertainty to a plant, and predict dryer loads.[[]34 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Table 8.1. Bias and uncertainty contributions to total uncertainty for QC2. Note that the Pressure Sensor Location Uncertainty is relative to the strain gage locations at QC2 and is therefore zero in this example.(3)]]Table 8.2. QC2 total uncertainty totals for specified frequency intervals.
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information
35 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information
: 4. Low Frequency Hydrodynamic Load Contribution (3)]]
[[(3)]]Figure 8.1. Plots of the QC2 OLTP coherence, for MSL A and B (top), and MSL C and D (bottom).36 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Figure 8.2.(3)]]Predicted loads at the 27 sensor locations on the QC2 dryer, as developed by ACM Rev. 4.1 with bias and uncertainty included:
9
peak maximum (top) and peak minimum (bottom) pressure levels, with data (black) and predictions (red). Sensors P13, P14, P16, P23, and P27 are inside the dryer, while P26 is on a mast above the dryer.37 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information (3)]]Figure 8.3. PSD of the loads predicted on the A-B side of the QC2 dryer (pressure sensor P12, top) and the C-D side (pressure sensor P21, bottom), in red, compared to the OLTP data, in black. ACM Rev. 4.1 model predictions have been multiplied by the total uncertainty from Table 8.2.38 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information
 
: 9. Conclusions The model evaluation examined here demonstrates the applicability of the C.D.I. acoustic circuit analysis for use with in-plant pressure data collected on the main steam lines. The model will be used with other steam dryer geometries and other main steam line configurations to provide a conservative and representative pressure loading on the steam dryer.Instrumenting the main steam lines at optimum locations (discussed in [6]) would minimize uncertainty with regard to instrument placement along the main steam lines. Since the Helmholtz solution is geometrically unique, for each steam dome / dryer geometry, differences between plants are accounted for in the analysis.
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information (3)]]
It is anticipated that the high quality of steam exiting the dryer and entering the main steam lines is similar between plants; thus, model parameter values should not be plant-dependent.
Figure 4.1. Normalized PSD of entrance source strengths '9' for QC2 data (790 MWe). The colors indicate the main steam line data plotted.
10
 
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information
: 5. Noise Reduction in Measured Main Steam Line Data (3)]]
11
 
Information Continuum Dynamics, Inc. Proprietary Not Contain This Document Does
[[I 12
 
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information 5.2 Application to QC2 Data
[[
13
 
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information QC2 OLTP Original Data 1
0.1 0.01 P-o       0.001 0.0001 10.5 0             50         100           150         200         250 Frequency (Hz)
QC2 OLTP Original Data 1
0.1 N
t-.         0.01 0.001 0.0001 10.5 0             50         100           150         200           250 Frequency (Hz)
Figure 5. la. PSD plots of the QC2 OLTP original data: MSL A (top), MSL B (bottom).
14
 
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information QC2 OLTP Original Data 1
0.1 N
0.01 0.001 0.0001 10.5 0             50         100           150         200         250 Frequency (Hz)
QC2 OLTP Original Data 1
0.1 N
0.01 0.001 0.0001 105 0             50         100           150         200         250 Frequency (Hz)
Figure 5.lb. PSD plots of the QC2 OLTP original data: MSL C (top), MSL D (bottom).
15
 
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information QC2 OLTP Data with Excluded Frequencies 1
0.1 N
0.01 0.001 0.0001 10o5 10-5 0           50           100         150           200         250 Frequency (Hz)
QC2 OLTP Data with Excluded Frequencies 1
0.1 N
0.01 0.001 0.0001 10.5 0           50           100         150           200         250 Frequency (Hz)
Figure 5.2a. PSD plots of the QC2 OLTP data with exclusion frequencies removed: MSL A (top), MSL B (bottom).
16
 
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information QC2 OLTP Data with Excluded Frequencies 1
0.1 N
-o         0.01 0.001 0.0001 10-5 0           50           100         150           200         250 Frequency (Hz)
QC2 OLTP Data with Excluded Frequencies 1
0.1 0.01 A-4      0.001 0.0001 10-5 0           50           100         150           200         250 Frequency (Hz)
Figure 5.2b. PSD plots of the QC2 OLTP data with exclusion frequencies removed: MSL C (top), MSL D (bottom).
17
 
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information (3)]]
Figure 5.3a. Plots of the QC2 OLTP coherence factors y) and 72, for MSL A (top) and MSL B (bottom). The upper factor is yj; the lower factor is y2.
18
 
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information (3)]]
Figure 5.3b. Plots of the QC2 OLTP coherence factors y' and Y2, for MSL C (top) and MSL D (bottom). The upper factor is yj; the lower factor is Y2.
19
 
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information
[R (3)]]
Figure 5.4a. PSD plots of the QC2 OLTP data with coherence filtering applied: MSL A (top),
MSL B (bottom).
20
 
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information (3)]]
Figure 5.4b. PSD plots of the QC2 OLTP data with coherence filtering applied: MSL C (top),
MSL D (bottom).
21
 
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information
: 6. Model Predictions and Comparisons Previous model evaluation predictions [3-6] provided several comparisons with pressure sensor data at the QC2 dryer sensor locations, for acceptance criteria first suggested by Exelon and later refined by C.D.I. The model parameters used in these studies are summarized in [6].
The prior development of the Modified Bounding Pressure model was necessitated by two conditions: [[
(3)]]
22
 
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information (3)]]
Figure 6.1. ACM Rev. 4.1 pressure predictions at 790 MWe at the dryer pressure sensors: peak maximum (top) and peak minimum (bottom) pressure levels, with data (black curves), ACM Rev. 4.1 predictions (red curves), and ACM Rev. 4 predictions (blue curves). Sensors P13, P14, P16, P23, and P27 are inside the dryer, while P26 is on a mast above the dryer.
23
 
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information (3)]]
Figure 6.2a. PSD comparisons at 790 MWe for pressure sensor data (black curves), ACM Rev.
4.1 predictions (red curves), and ACM Rev. 4 predictions (blue curves), for P1 (top) and P2 (bottom).
24
 
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information II (3)]]
Figure 6.2b. PSD comparisons at 790 MWe for pressure sensor data (black curves), ACM Rev.
4.1 predictions (red curves), and ACM Rev. 4 predictions (blue curves), for P3 (top) and P4 (bottom).
25
 
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information (3)]]
Figure 6.2c. PSD comparisons at 790 MWe for pressure sensor data (black curves), ACM Rev.
4.1 predictions (red curves), and ACM Rev. 4 predictions (blue curves), for P5 (top) and P6 (bottom).
26
 
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information (3)]]
Figure 6.2d. PSD comparisons at 790 MWe for pressure sensor data (black curves), ACM Rev.
4.1 predictions (red curves), and ACM Rev. 4 predictions (blue curves), for P7 (top) and P8 (bottom).
27
 
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information I[[
(3)]]
Figure 6.2e. PSD comparisons at 790 MWe for pressure sensor data (black curves), ACM Rev.
4.1 predictions (red curves), and ACM Rev. 4 predictions (blue curves), for P9 (top) and P 10 (bottom).
28
 
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information (31]1 Figure 6.2f. PSD comparisons at 790 MWe for pressure sensor data (black curves), ACM Rev.
4.1 predictions (red curves), and ACM Rev. 4 predictions (blue curves), for P11 (top) and P12 (bottom).
29
 
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information (3)]]
Figure 6.2g. PSD comparisons at 790 MWe for pressure sensor data (black curves), ACM Rev.
4.1 predictions (red curves), and ACM Rev. 4 predictions (blue curves), for P18 (top) and P19 (bottom).
30
 
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information I[[
(3)]]
Figure 6.2h. PSD comparisons at 790 MWe for pressure sensor data (black curves), ACM Rev.
4.1 predictions (red curves), and ACM Rev. 4 predictions (blue curves), for P20 (top) and P21 (bottom).
31
 
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information
: 7. Model Uncertainty (3)]]
32
 
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Bias 100               SI               I '
U     ACMRev. 4.1 50          . A CM R ev . 4 .-         .................
0          0
                  -50
                            , I         i           I ,   I     ,     I   ,   I     ,     I ,   I
                -100 C)       0         0         0>         0           i       C)       C vt                             C)         0ý W0        0 C0 It             Cý       01        C        0>
C r   -
C>C Frequency Interval (Hz)
Uncertainty 100 80 U     ACM Rev. 4.1 ACM Rev. 4 60    .. ... - -     i. . . ... -----------       .. i . . . . .-.---
                                                                                      .--  .
                                                                                          .---... -- ---
C60 0         40 20-
                                        ......... .........
0 CD       C>         C                             -         Cl Frequency Interval (Hz)
Figure 7.1. Comparison of bias and uncertainty values between ACM Rev. 4 and ACM Rev. 4.1.
Bias is shown in the upper figure, uncertainty in the lower: ACM Rev. 4.1 (in red), ACM Rev. 4 (in blue).
33
 
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information
: 8. Application to QC2 Steam Dryer In this section the QC2 main steam line data will be used as an example of how to apply bias and uncertainty to a plant, and predict dryer loads.
[[]
34
 
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Table 8.1. Bias and uncertainty contributions to total uncertainty for QC2. Note that the Pressure Sensor Location Uncertainty is relative to the strain gage locations at QC2 and is therefore zero in this example.
(3)]]
Table 8.2. QC2 total uncertainty totals for specified frequency intervals.
35
 
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information
[[
(3)]]
Figure 8.1. Plots of the QC2 OLTP coherence, for MSL A and B (top), and MSL C and D (bottom).
36
 
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information (3)]]
Figure 8.2. Predicted loads at the 27 sensor locations on the QC2 dryer, as developed by ACM Rev. 4.1 with bias and uncertainty included: peak maximum (top) and peak minimum (bottom) pressure levels, with data (black) and predictions (red). Sensors P13, P14, P16, P23, and P27 are inside the dryer, while P26 is on a mast above the dryer.
37
 
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information (3)]]
Figure 8.3. PSD of the loads predicted on the A-B side of the QC2 dryer (pressure sensor P12, top) and the C-D side (pressure sensor P21, bottom), in red, compared to the OLTP data, in black. ACM Rev. 4.1 model predictions have been multiplied by the total uncertainty from Table 8.2.
38
 
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information
: 9. Conclusions The model evaluation examined here demonstrates the applicability of the C.D.I. acoustic circuit analysis for use with in-plant pressure data collected on the main steam lines. The model will be used with other steam dryer geometries and other main steam line configurations to provide a conservative and representative pressure loading on the steam dryer.
Instrumenting the main steam lines at optimum locations (discussed in [6]) would minimize uncertainty with regard to instrument placement along the main steam lines. Since the Helmholtz solution is geometrically unique, for each steam dome / dryer geometry, differences between plants are accounted for in the analysis. It is anticipated that the high quality of steam exiting the dryer and entering the main steam lines is similar between plants; thus, model parameter values should not be plant-dependent.
The results of this evaluation illustrate the following:
The results of this evaluation illustrate the following:
: 1. [[(3)]]2. The model accurately predicts the PSD peak amplitude and frequency for all pressure sensors.3. ACM Rev. 4.1 can be used for all plants that have main steam line Mach numbers comparable to the QC2 plant at OLTP conditions.
: 1. [[
39 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information
(3)]]
: 2. The model accurately predicts the PSD peak amplitude and frequency for all pressure sensors.
: 3. ACM Rev. 4.1 can be used for all plants that have main steam line Mach numbers comparable to the QC2 plant at OLTP conditions.
39
 
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information
: 10. References
: 10. References
: 1. Continuum Dynamics, Inc. 2005. Quad Cities 2 New Dryer Vulnerability Loads. C.D.I.Technical Note No. 05-03.2. Continuum Dynamics, Inc. 2005. Quad Cities 2 New Dryer SMT Loads. C.D.I. Technical Note No. 05-04.3. Continuum Dynamics, Inc. 2005. Evaluation of Continuum Dynamics, Inc. Steam Dryer Load Methodology against Quad Cities Unit 2 In-Plant Data. C.D.I. Report No. 05-10.4. Continuum Dynamics, Inc. 2005. Blind Evaluation of Continuum Dynamics, Inc. Steam Dryer Load Methodology against Quad Cities Unit 2 In-Plant Data at 2831 MWe. C.D.I.Technical Note No. 05-37.5. Continuum Dynamics, Inc. 2005. Improved Methodology to Predict Full Scale Steam Dryer Loads from In-Plant Measurements.
: 1. Continuum Dynamics, Inc. 2005. Quad Cities 2 New Dryer Vulnerability Loads. C.D.I.
C.D.I. Report No. 05-23.6. Continuum Dynamics, Inc. 2007. Bounding Methodology to Predict Full Scale Steam Dryer Loads from In-Plant Measurements (Rev. 3). C.D.I. Report No. 05-28 (Proprietary).
Technical Note No. 05-03.
: 2. Continuum Dynamics, Inc. 2005. Quad Cities 2 New Dryer SMT Loads. C.D.I. Technical Note No. 05-04.
: 3. Continuum Dynamics, Inc. 2005. Evaluation of Continuum Dynamics, Inc. Steam Dryer Load Methodology against Quad Cities Unit 2 In-Plant Data. C.D.I. Report No. 05-10.
: 4. Continuum Dynamics, Inc. 2005. Blind Evaluation of Continuum Dynamics, Inc. Steam Dryer Load Methodology against Quad Cities Unit 2 In-Plant Data at 2831 MWe. C.D.I.
Technical Note No. 05-37.
: 5. Continuum Dynamics, Inc. 2005. Improved Methodology to Predict Full Scale Steam Dryer Loads from In-Plant Measurements. C.D.I. Report No. 05-23.
: 6. Continuum Dynamics, Inc. 2007. Bounding Methodology to Predict Full Scale Steam Dryer Loads from In-Plant Measurements (Rev. 3). C.D.I. Report No. 05-28 (Proprietary).
: 7. Continuum Dynamics, Inc. 2007. Methodology to Predict Full Scale Steam Dryer Loads from In-Plant Measurements, with the Inclusion of a Low Frequency Hydrodynamic Contribution (Rev. 1). C.D.I. Report No. 07-09 (Proprietary).
: 7. Continuum Dynamics, Inc. 2007. Methodology to Predict Full Scale Steam Dryer Loads from In-Plant Measurements, with the Inclusion of a Low Frequency Hydrodynamic Contribution (Rev. 1). C.D.I. Report No. 07-09 (Proprietary).
: 8. NRC Request for Additional Information on the Hope Creek Generating Station, Extended Power Uprate. 2007. RAI No. 14.11.9. Continuum Dynamics, Inc. 2005. Methodology to Determine Unsteady Pressure Loading on Components in Reactor Steam Domes (Rev. 6). C.D.I. Report No. 04-09 (Proprietary).
: 8. NRC Request for Additional Information on the Hope Creek Generating Station, Extended Power Uprate. 2007. RAI No. 14.11.
: 10. General Electric Company (C. Hinds). 2005. Dryer Sensor Locations.
: 9. Continuum Dynamics, Inc. 2005. Methodology to Determine Unsteady Pressure Loading on Components in Reactor Steam Domes (Rev. 6). C.D.I. Report No. 04-09 (Proprietary).
Letter Report No. GE-ENG-DRY-087.
: 10. General Electric Company (C. Hinds). 2005. Dryer Sensor Locations. Letter Report No. GE-ENG-DRY-087. Dated 18 May 2005.
Dated 18 May 2005.11. Structural Integrity Associates, Inc. 2008. Nine Mile Point Unit 2 Strain Gage Uncertainty Evaluation and Pressure Conversion Factors (Rev. 1). SIA Calculation Package No. NMP-26Q-301.12. Communication from Enrico Betti. 2006. Excerpts from Entergy Calculation VYC-3001 (Rev. 3), EPU Steam Dryer Acceptance Criteria, Attachment I: VYNPS Steam Dryer Load Uncertainty (Proprietary).
: 11. Structural Integrity Associates, Inc. 2008. Nine Mile Point Unit 2 Strain Gage Uncertainty Evaluation and Pressure Conversion Factors (Rev. 1). SIA Calculation Package No. NMP-26Q-301.
: 12. Communication from Enrico Betti. 2006. Excerpts from Entergy Calculation VYC-3001 (Rev. 3), EPU Steam Dryer Acceptance Criteria, Attachment I: VYNPS Steam Dryer Load Uncertainty (Proprietary).
: 13. Exelon Nuclear Generating LLC. 2005. An Assessment of the Effects of Uncertainty in the Application of Acoustic Circuit Model Predictions to the Calculation of Stresses in the Replacement Quad Cities Units 1 and 2 Steam Dryers (Revision 0). Document No. AM-21005-008.
: 13. Exelon Nuclear Generating LLC. 2005. An Assessment of the Effects of Uncertainty in the Application of Acoustic Circuit Model Predictions to the Calculation of Stresses in the Replacement Quad Cities Units 1 and 2 Steam Dryers (Revision 0). Document No. AM-21005-008.
40 ATTACHMENT 2 AFFIDAVIT FROM CONTINUUM DYNAMICS INCORPORATED (CDI)JUSTIFYING WITHHOLDING PROPRIETARY INFORMATION Nine Mile Point Nuclear Station, LLC February 4, 2011 cI:z2M:- Continuum Dynamics, Inc.(609) 538-0444 (609) 538-0464 fax 34 Lexington Avenue Ewing, NJ 08618-2302 AFFIDAVIT Re: C.D.I. Report No. 10-09 "ACM Rev. 4.1: Methodology to Predict Full Scale Steam Dryer Loads from In-Plant Measurements," Revision 3.I, Alan J. Bilanin, being duly sworn, depose and state as follows: 1. I hold the position of President and Senior Associate of Continuum Dynamics, Inc. (hereinafter referred to as C.D.I.), and I am authorized to make the request for withholding from Public Record the Information contained in the documents described in Paragraph
40
: 2. This Affidavit is submitted to the Nuclear Regulatory Commission (NRC) pursuant to 10 CFR 2.390(a)(4) based on the fact that the attached information consists of trade secret(s) of C.D.I. and that the NRC will receive the information from C.D.I. under privilege and in confidence.
 
: 2. The Information sought to be withheld, as transmitted to Constellation Energy Group as attachments to C.D.I. Letter No. 11010 dated 21 January 2011, C.D.I. Report No. 10-09 "ACM Rev. 4.1: Methodology to Predict Full Scale Steam Dryer Loads from In-Plant Measurements," Revision 3.3. The Information summarizes: (a) a process or method, including supporting data and analysis, where prevention of its use by C.D.I.'s competitors without license from C.D.I. constitutes a competitive advantage over other companies;(b) Information which, if used by a competitor, would reduce his expenditure of resources or improve his competitive position in the design, manufacture, shipment, installation, assurance of quality, or licensing of a similar product;(c) Information which discloses patentable subject matter for which it may be desirable to obtain patent protection.
ATTACHMENT 2 AFFIDAVIT FROM CONTINUUM DYNAMICS INCORPORATED (CDI)
The information sought to be withheld is considered to be proprietary for the reasons set forth in paragraphs 3(a), 3(b) and 3(c) above.4. The Information has been held in confidence by C.D.I., its owner. The Information has consistently been held in confidence by C.D.I. and no public disclosure has been made and it is not available to the public. All disclosures to third parties, which have been limited, have been made pursuant to the terms and conditions contained in C.D.I.'s Nondisclosure Secrecy Agreement which must be fully executed prior to disclosure.
JUSTIFYING WITHHOLDING PROPRIETARY INFORMATION Nine Mile Point Nuclear Station, LLC February 4, 2011
: 5. The Information is a type customarily held in confidence by C.D.I. and there is a rational basis therefore.
 
The Information is a type, which C.D.I. considers trade secret and is held in confidence by C.D.I. because it constitutes a source of competitive advantage in the competition and performance of such work in the industry.
cI:z2M:- Continuum Dynamics, Inc.
Public disclosure of the Information is likely to cause substantial harm to C.D.I.'s competitive position and foreclose or reduce the availability of profit-making opportunities.
(609) 538-0444 (609) 538-0464 fax               34 Lexington Avenue   Ewing, NJ 08618-2302 AFFIDAVIT Re:     C.D.I. Report No. 10-09 "ACM Rev. 4.1: Methodology to Predict Full Scale Steam Dryer Loads from In-Plant Measurements," Revision 3.
I declare under penalty of perjury that the foregoing affidavit and the matters stated therein are true and correct to be the best of my knowledge, information and belief.Executed on this c_' day of -c L P x v 2011.a(C"'U Alan J.* Bilanil Continuum Dynamics, Inc.4L'ýSubscribed and sworn before me this day: een. umeis 4 ,ly)rýbic EILEEN P. BURMEISTER NOTARY PUBLIC OF NEW JERSEY.,MY COMM. EXPIRES MAY 6, 2012 c~O //}}
I, Alan J. Bilanin, being duly sworn, depose and state as follows:
: 1.     I hold the position of President and Senior Associate of Continuum Dynamics, Inc. (hereinafter referred to as C.D.I.), and I am authorized to make the request for withholding from Public Record the Information contained in the documents described in Paragraph 2. This Affidavit is submitted to the Nuclear Regulatory Commission (NRC) pursuant to 10 CFR 2.390(a)(4) based on the fact that the attached information consists of trade secret(s) of C.D.I. and that the NRC will receive the information from C.D.I. under privilege and in confidence.
: 2.     The Information sought to be withheld, as transmitted to Constellation Energy Group as attachments to C.D.I. Letter No. 11010 dated 21 January 2011, C.D.I. Report No. 10-09 "ACM Rev. 4.1: Methodology to Predict Full Scale Steam Dryer Loads from In-Plant Measurements,"
Revision 3.
: 3.     The Information summarizes:
(a) a process or method, including supporting data and analysis, where prevention of its use by C.D.I.'s competitors without license from C.D.I. constitutes a competitive advantage over other companies; (b) Information which, if used by a competitor, would reduce his expenditure of resources or improve his competitive position in the design, manufacture, shipment, installation, assurance of quality, or licensing of a similar product; (c) Information which discloses patentable subject matter for which it may be desirable to obtain patent protection.
The information sought to be withheld is considered to be proprietary for the reasons set forth in paragraphs 3(a), 3(b) and 3(c) above.
: 4.     The Information has been held in confidence by C.D.I., its owner. The Information has consistently been held in confidence by C.D.I. and no public disclosure has been made and it is not available to the public. All disclosures to third parties, which have been limited, have been made pursuant to the terms and conditions contained in C.D.I.'s Nondisclosure Secrecy Agreement which must be fully executed prior to disclosure.
: 5.     The Information is a type customarily held in confidence by C.D.I. and there is a rational basis therefore. The Information is a type, which C.D.I. considers trade secret and is held in
 
confidence by C.D.I. because it constitutes a source of competitive advantage in the competition and performance of such work in the industry. Public disclosure of the Information is likely to cause substantial harm to C.D.I.'s competitive position and foreclose or reduce the availability of profit-making opportunities.
I declare under penalty of perjury that the foregoing affidavit and the matters stated therein are true and correct to be the best of my knowledge, information and belief.
Executed on this c_'         day of   -c   LP x v       2011.
a(C"'U Alan J.*Bilanil 4L'ý Continuum Dynamics, Inc.
Subscribed and sworn before me this day:                                 c~O //
een.     umeis4          ,ly)rýbic EILEEN P. BURMEISTER NOTARY PUBLIC OF NEW JERSEY.
  ,MY COMM. EXPIRES MAY 6, 2012}}

Revision as of 03:23, 13 November 2019

Attachment 1, CDI Report No. 10-09NP, ACM Rev. 4.1: Methodology to Predict Full Scale Steam Dryer Loads from In-Plant Measurements, Revision 3
ML110460160
Person / Time
Site: Nine Mile Point Constellation icon.png
Issue date: 01/31/2011
From: Teske M
Continuum Dynamics
To:
Office of Nuclear Reactor Regulation
References
TAC ME1476 CDI 10-09NP, Rev 3
Download: ML110460160 (47)


Text

ATTACHMENT 1 CDI REPORT NO. 10-09NP, ACM REV. 4.1: METHODOLOGY TO PREDICT FULL SCALE STEAM DRYER LOADS FROM IN-PLANT MEASUREMENTS, REVISION 3 (NON-PROPRIETARY)

Certain information, considered proprietary by Continuum Dynamics Incorporated, has been deleted from this Attachment. The deletions are identified by double square brackets.

Nine Mile Point Nuclear Station, LLC February 4,2011

This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information C.D.I. Report No. 10-09NP ACM Rev. 4.1: Methodology to Predict Full Scale Steam Dryer Loads from In-Plant Measurements Revision 3 Prepared by Continuum Dynamics, Inc.

34 Lexington Avenue Ewing, NJ 08618 Prepared by Milton E. Teske Approved by Oa4 Alan J. Bilanin January 2011

This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Executive Summary Measured in-plant pressure time-history data in the four main steam lines of Quad Cities Unit 2 (QC2), inferred from strain gage data collected at two positions upstream of the ERV standpipes on each of the main steam lines, are used with Continuum Dynamics, Inc.'s acoustic circuit model of the QC2 steam dome and steam lines to predict steam dryer loads. The strain gage data are first converted to pressures, and are then used to extract acoustic sources in the system. Once these sources are obtained, the model is used to predict the pressure time histories at locations on the steam dryer where pressure sensors were positioned. These predictions are then compared against data from the pressure sensors, and model bias and uncertainty are evaluated.

These results provide a revised model that bounds the pressure loads on a steam dryer, and thereby enables the dryer to be analyzed structurally for its fitness during power ascension and EPU operations.

i

This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Table of Contents Section Page Executive Summary .................................................................. i Table of C ontents ..................................................................... ii

1. Introduction ............................................................................ 1
2. Overview of Methodology .......................................................... 3 2.1 Helmholtz Analysis ........................................................... 3 2.2 Acoustic Circuit Analysis .................................................... 3 2.3 Low Frequency Contribution .............................................. 4 2.4 Modeling Parameters ......................................................... 4 2.5 Model Assembly and Algorithm ........................................... 5 2.6 Pressure Location Solution .................................................. 6
3. Quad Cities Unit 2 Instrumentation and Plant Data ............................. 8
4. Low Frequency Hydrodynamic Load Contribution ............................ 9
5. Noise Reduction in Measured Main Steam Line Data .......................... 11 5.1 Coherence Filtering ........................................................... 11 5.2 Application to QC2 Data .................................................... 12
6. Model Predictions and Comparisons .............................................. 22
7. Model Uncertainty ................................................................... 32
8. Application to QC2 Steam Dryer .................................................. 34
9. C onclusions ........................................................................... 39
10. R eferences ............................................................................. 40 ii

This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information

1. Introduction In the spring of 2005, Exelon Generation LLC installed new steam dryers into its Quad Cities Unit 2 (QC2) and Quad Cities Unit 1 nuclear power plants. The replacement design, developed by General Electric, sought to improve dryer performance and overcome structural inadequacies identified on the original dryers. The design had been previously analyzed by extrapolating acoustic circuit model predictions from the original dryer to produce expected full-scale vulnerability loads [1] and from modeling the new dryer in the SMT (subscale model test) to produce corresponding loads from subscale data [2]. The QC2 dryer was instrumented with pressure sensors at 27 locations, and these data could be used to validate the acoustic circuit model. These pressure data formed the set of data to be first predicted (blind evaluation) and then corrected (modified evalution) utilizing only data measured on the main steam lines. Data collection was undertaken at 790 MWe (2493 MWt), just short of Original Licensed Thermal Power (OLTP) conditions, and at 930 MWe (2885 MWt), near Extended Power Uprate (EPU) conditions. At QC2, OLTP is rated at 2511 MWt, while EPU is rated at 2957 MWt.

Scaling analysis has shown that the unsteady pressure P' must scale as Pr U, pUD L, L2/

(1.1) 1I - -fcn( M = a - Re -=p D L L 2 2

where M is the Mach number, Re is the Reynolds number, U is the main steam line flow speed, a is the acoustic speed, p is the fluid density, D is the diameter of the main steam line, ýt is the fluid viscosity, and L, L 1, L2, ... are lengths. Tabulation of the EPU Mach numbers for plants seeking EPU licenses are shown in Table 1.1, and show that the QC2 790 MWe data (at OLTP conditions) have a Mach number representative of these plants and that this dataset is the appropriate one to examine.

The overall results, encompassing (1) a blind evaluation at 790 MWe, (2) a modified evaluation at 790 MWe, (3) a blind evaluation at 930 MWe, (4) a modified evaluation at 930 MWe, (5) a pressure sensor evaluation at 930 MWe, and (6) a strain gage and pressure sensor evaluation at 930 MWe, are described in [3]. A later blind evaluation at 912 MWe (2831 MWt) and an evaluation at 842 MWe (2493 MWt) are described in [4]. The accuracy of these model predictions was judged by model agreement with data at six of the pressure sensors mounted on the steam dryer. Following further review, it became clear that, although model evaluations (4) and (6) tracked the data well for most pressure sensors, the data from several of the pressure sensors were under-predicted in the critical frequency range of 145 Hz to 165 Hz. Thus, Exelon requested that model parameters be re-examined to see whether a better comparison with the pressure sensor data could be achieved. That effort resulted in a model that matched the mean of the root mean square (RMS) of the pressure data at the 27 sensors on the QC2 dryer [5].

Later work (reported in [6]) developed acoustic circuit model parameters which resulted in dryer pressure load predictions on the outer bank hoods of the steam dryer that bounded the pressure loads measured there, and therefore provided steam dryer load predictions more 1

This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information conservative than those reported previously. [[

Table 1.1. Estimated Main Steam Line Mach numbers for plants seeking EPU license.

Plant EPU MSL Mach Number Browns Ferry 0.100 Hope Creek 0.105 Monticello 0.113 Laguna Verde 0.111 Nine Mile Point 0.110 Susquehanna 0.100 Vermont Yankee 0.109 Plant I OLTP MSL Mach Number Quad Cities Unit 2 0.105 2

This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information

2. Overview of Methodology The QC2 steam supply system is divided into two distinct analyses: a Helmholtz solution within the steam dome and an acoustic circuit analysis in the main steam lines. This section of the report highlights the two approaches taken here. All analyses are undertaken in frequency space and the pressure P used here is the Fourier transformed pressure.

2.1 Helmholtz Analysis The three-dimensional geometry of a steam dome and steam dryer is rendered onto a uniformly-spaced rectangular grid, and a solution is obtained for the Helmholtz equation a 2p a2 p a 2 p (02 V p o2

  • --+-02+ - +-- =Vp+a2P = 0- (2.1) where P is the pressure at a grid point, co is frequency, and a is complex acoustic speed. This equation is solved at 5 Hz increments from 0 to 250 Hz, subject to the boundary conditions

-dP = 0 (2.2) dn normal to all solid surfaces (the steam dome wall and interior and exterior surfaces of the dryer),

dP d - io)Z P (2.3) dn a normal to the nominal water level surface, and unit pressure applied to one inlet to a main steam line and zero applied to the other three. In all of the equations presented here, i = _.-T, and time dependence of the form eimot is implied. The Helmholtz solutions have been shown to vary slowly between the 5 Hz increments chosen here [8].

2.2 Acoustic Circuit Analysis The Helmholtz solution within the steam dome is coupled to an acoustic circuit solution in the main steam lines. Pulsation in a single-phase compressible medium, where acoustic wavelengths are long compared to component dimensions, and in particular long compared to transverse dimensions (directions perpendicular to the primary flow directions), lend themselves to application of the acoustic circuit methodology. If the analysis is restricted to frequencies below 250 Hz, acoustic wavelengths are approximately six feet in length, and wavelengths are therefore long compared to most components of interest, such as branch junctions.

Acoustic circuit analysis divides the main steam lines into elements, which are each characterized by a length L, a cross-sectional area A, a fluid mean density p, a fluid mean flow velocity U, and a fluid acoustic speed a.

3

This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Application of the acoustic circuit methodology generates solutions for the fluctuating pressure Pn and velocity un in the nth element of the form Pn= [Ane iklnXn + Bn eik2nXn ieot (2.4) u= a 2 L+;k nAne k~nXn CI (CO+ Unk2n )Bneik2nXn ]eicot (2.5) where harmonic time dependence of the form e"'t has been assumed. The wave numbers k 1n and kzn are the two complex roots of the equation kn 2 +na R + k =0 k+iDna 2 (2.6)

+ nn a2 nY=

where fn is the pipe friction factor for element n and Dn is the hydrodynamic diameter for element n. An and Bn are complex constants which are a function of frequency and are determined by satisfying continuity of pressure and mass conservation at element junctions.

2.3 Low Frequency Contribution (3)]]

2.4 Modeling Parameters When the steam dryer geometry is defined and the physical parameters at the power level of interest are provided (such as the mean steam flow in the main steam lines), the Helmholtz and acoustic circuit analyses are driven by seven modeling parameters: (1) the damping in the steam dome, (2) the proportionality constant in Equation (2.3) at the steam-froth interface beneath the steam dryer, (3) the proportionality constant in Equation (2.3) at the steam-water interface between the dryer skirt and steam dome, (4) the damping in the main steam lines, (5) the main steam line friction factor, (6) [[

(3)]], and (7) (3)

4

This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information 2.5 Model Assembly and Algorithm (3)]

5

This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information

[I (3)]]

6

This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information (3)]]

7

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3. Quad Cities Unit 2 Instrumentation and Plant Data Strain gage pairs were mounted at two locations on the main steam lines, upstream of the ERV standpipes, as summarized in Table 3.1. These data proved reliable throughout the QC2 startup. Pressure sensors were positioned at 27 locations inside and outside the dryer, and were designated P1 to P27. The locations of the transducers can be found in [10]. Sensor P19 appeared to fail during data acquisition but still provided credible information. The strain gage data were taken at 2000 samples/sec, while the pressure sensor data were taken at 2048 samples/sec, on a different recording system. Thus, the two data sets each included a channel for a trigger. In this way a common zero time could be established for the strain gage pairs and the pressure sensors, so as to eliminate any phasing differences. The sampling rate was sufficient, as the analysis was conducted to 250 Hz.

Table 3.1. Location of strain gage pairs on QC2 main steam lines [3]. SG locations are measured from the inside of the steam dome, down the centerline of the MSL.

Main Steam Line Upper SG Location (ft) Lower SG Location (fi)

A 9.5 41.0 B 9.5 41.3 C 9.5 41.3 D 9.5 41.0 Two sets of data are used in the ACM Rev. 4.1 analysis. The first set of data was taken at a power level of 790 MWe, test condition TC32B, at Original Licensed Thermal Power (OLTP) conditions, as summarized in Table 3.2. These data were recorded prior to installation of Acoustic Side Branches to the QC2 standpipes. Subsequent to this installation, a second set of data was taken during power ascension, at 156 MWe, test condition TC2, at 26.5% OLTP conditions, as also summarized in Table 3.2.

Table 3.2. Summary of the power levels examined with the current methodology.

Exelon Data Collection Electric Power Thermal Power MSL Mach Test Condition Date Level (MWe) Level (MWt) Number TC32B (OLTP) 05/10/05 790 2493 0.105 TC2 (Low Power) 04/19/06 156 665 0.024 8

This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information

4. Low Frequency Hydrodynamic Load Contribution (3)]]

9

This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information (3)]]

Figure 4.1. Normalized PSD of entrance source strengths '9' for QC2 data (790 MWe). The colors indicate the main steam line data plotted.

10

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5. Noise Reduction in Measured Main Steam Line Data (3)]]

11

Information Continuum Dynamics, Inc. Proprietary Not Contain This Document Does

[[I 12

This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information 5.2 Application to QC2 Data

Continuum Dynamics, Inc. Proprietary Information QC2 OLTP Original Data 1

0.1 0.01 P-o 0.001 0.0001 10.5 0 50 100 150 200 250 Frequency (Hz)

QC2 OLTP Original Data 1

0.1 N

t-. 0.01 0.001 0.0001 10.5 0 50 100 150 200 250 Frequency (Hz)

Figure 5. la. PSD plots of the QC2 OLTP original data: MSL A (top), MSL B (bottom).

14

This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information QC2 OLTP Original Data 1

0.1 N

0.01 0.001 0.0001 10.5 0 50 100 150 200 250 Frequency (Hz)

QC2 OLTP Original Data 1

0.1 N

0.01 0.001 0.0001 105 0 50 100 150 200 250 Frequency (Hz)

Figure 5.lb. PSD plots of the QC2 OLTP original data: MSL C (top), MSL D (bottom).

15

This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information QC2 OLTP Data with Excluded Frequencies 1

0.1 N

0.01 0.001 0.0001 10o5 10-5 0 50 100 150 200 250 Frequency (Hz)

QC2 OLTP Data with Excluded Frequencies 1

0.1 N

0.01 0.001 0.0001 10.5 0 50 100 150 200 250 Frequency (Hz)

Figure 5.2a. PSD plots of the QC2 OLTP data with exclusion frequencies removed: MSL A (top), MSL B (bottom).

16

This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information QC2 OLTP Data with Excluded Frequencies 1

0.1 N

-o 0.01 0.001 0.0001 10-5 0 50 100 150 200 250 Frequency (Hz)

QC2 OLTP Data with Excluded Frequencies 1

0.1 0.01 A-4 0.001 0.0001 10-5 0 50 100 150 200 250 Frequency (Hz)

Figure 5.2b. PSD plots of the QC2 OLTP data with exclusion frequencies removed: MSL C (top), MSL D (bottom).

17

This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information (3)]]

Figure 5.3a. Plots of the QC2 OLTP coherence factors y) and 72, for MSL A (top) and MSL B (bottom). The upper factor is yj; the lower factor is y2.

18

This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information (3)]]

Figure 5.3b. Plots of the QC2 OLTP coherence factors y' and Y2, for MSL C (top) and MSL D (bottom). The upper factor is yj; the lower factor is Y2.

19

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[R (3)]]

Figure 5.4a. PSD plots of the QC2 OLTP data with coherence filtering applied: MSL A (top),

MSL B (bottom).

20

This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information (3)]]

Figure 5.4b. PSD plots of the QC2 OLTP data with coherence filtering applied: MSL C (top),

MSL D (bottom).

21

This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information

6. Model Predictions and Comparisons Previous model evaluation predictions [3-6] provided several comparisons with pressure sensor data at the QC2 dryer sensor locations, for acceptance criteria first suggested by Exelon and later refined by C.D.I. The model parameters used in these studies are summarized in [6].

The prior development of the Modified Bounding Pressure model was necessitated by two conditions: [[

(3)]]

22

This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information (3)]]

Figure 6.1. ACM Rev. 4.1 pressure predictions at 790 MWe at the dryer pressure sensors: peak maximum (top) and peak minimum (bottom) pressure levels, with data (black curves), ACM Rev. 4.1 predictions (red curves), and ACM Rev. 4 predictions (blue curves). Sensors P13, P14, P16, P23, and P27 are inside the dryer, while P26 is on a mast above the dryer.

23

This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information (3)]]

Figure 6.2a. PSD comparisons at 790 MWe for pressure sensor data (black curves), ACM Rev.

4.1 predictions (red curves), and ACM Rev. 4 predictions (blue curves), for P1 (top) and P2 (bottom).

24

This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information II (3)]]

Figure 6.2b. PSD comparisons at 790 MWe for pressure sensor data (black curves), ACM Rev.

4.1 predictions (red curves), and ACM Rev. 4 predictions (blue curves), for P3 (top) and P4 (bottom).

25

This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information (3)]]

Figure 6.2c. PSD comparisons at 790 MWe for pressure sensor data (black curves), ACM Rev.

4.1 predictions (red curves), and ACM Rev. 4 predictions (blue curves), for P5 (top) and P6 (bottom).

26

This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information (3)]]

Figure 6.2d. PSD comparisons at 790 MWe for pressure sensor data (black curves), ACM Rev.

4.1 predictions (red curves), and ACM Rev. 4 predictions (blue curves), for P7 (top) and P8 (bottom).

27

This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information I[[

(3)]]

Figure 6.2e. PSD comparisons at 790 MWe for pressure sensor data (black curves), ACM Rev.

4.1 predictions (red curves), and ACM Rev. 4 predictions (blue curves), for P9 (top) and P 10 (bottom).

28

This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information (31]1 Figure 6.2f. PSD comparisons at 790 MWe for pressure sensor data (black curves), ACM Rev.

4.1 predictions (red curves), and ACM Rev. 4 predictions (blue curves), for P11 (top) and P12 (bottom).

29

This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information (3)]]

Figure 6.2g. PSD comparisons at 790 MWe for pressure sensor data (black curves), ACM Rev.

4.1 predictions (red curves), and ACM Rev. 4 predictions (blue curves), for P18 (top) and P19 (bottom).

30

This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information I[[

(3)]]

Figure 6.2h. PSD comparisons at 790 MWe for pressure sensor data (black curves), ACM Rev.

4.1 predictions (red curves), and ACM Rev. 4 predictions (blue curves), for P20 (top) and P21 (bottom).

31

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7. Model Uncertainty (3)]]

32

This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Bias 100 SI I '

U ACMRev. 4.1 50 . A CM R ev . 4 .- .................

0 0

-50

, I i I , I , I , I , I , I

-100 C) 0 0 0> 0 i C) C vt C) 0ý W0 0 C0 It Cý 01 C 0>

C r -

C>C Frequency Interval (Hz)

Uncertainty 100 80 U ACM Rev. 4.1 ACM Rev. 4 60 .. ... - - i. . . ... ----------- .. i . . . . .-.---

.-- .

.---... -- ---

C60 0 40 20-

......... .........

0 CD C> C - Cl Frequency Interval (Hz)

Figure 7.1. Comparison of bias and uncertainty values between ACM Rev. 4 and ACM Rev. 4.1.

Bias is shown in the upper figure, uncertainty in the lower: ACM Rev. 4.1 (in red), ACM Rev. 4 (in blue).

33

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8. Application to QC2 Steam Dryer In this section the QC2 main steam line data will be used as an example of how to apply bias and uncertainty to a plant, and predict dryer loads.

, Inc. Proprietary Information Table 8.1. Bias and uncertainty contributions to total uncertainty for QC2. Note that the Pressure Sensor Location Uncertainty is relative to the strain gage locations at QC2 and is therefore zero in this example.

(3)]]

Table 8.2. QC2 total uncertainty totals for specified frequency intervals.

35

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[[

(3)]]

Figure 8.1. Plots of the QC2 OLTP coherence, for MSL A and B (top), and MSL C and D (bottom).

36

This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information (3)]]

Figure 8.2. Predicted loads at the 27 sensor locations on the QC2 dryer, as developed by ACM Rev. 4.1 with bias and uncertainty included: peak maximum (top) and peak minimum (bottom) pressure levels, with data (black) and predictions (red). Sensors P13, P14, P16, P23, and P27 are inside the dryer, while P26 is on a mast above the dryer.

37

This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information (3)]]

Figure 8.3. PSD of the loads predicted on the A-B side of the QC2 dryer (pressure sensor P12, top) and the C-D side (pressure sensor P21, bottom), in red, compared to the OLTP data, in black. ACM Rev. 4.1 model predictions have been multiplied by the total uncertainty from Table 8.2.

38

This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information

9. Conclusions The model evaluation examined here demonstrates the applicability of the C.D.I. acoustic circuit analysis for use with in-plant pressure data collected on the main steam lines. The model will be used with other steam dryer geometries and other main steam line configurations to provide a conservative and representative pressure loading on the steam dryer.

Instrumenting the main steam lines at optimum locations (discussed in [6]) would minimize uncertainty with regard to instrument placement along the main steam lines. Since the Helmholtz solution is geometrically unique, for each steam dome / dryer geometry, differences between plants are accounted for in the analysis. It is anticipated that the high quality of steam exiting the dryer and entering the main steam lines is similar between plants; thus, model parameter values should not be plant-dependent.

The results of this evaluation illustrate the following:

1. [[

(3)]]

2. The model accurately predicts the PSD peak amplitude and frequency for all pressure sensors.
3. ACM Rev. 4.1 can be used for all plants that have main steam line Mach numbers comparable to the QC2 plant at OLTP conditions.

39

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10. References
1. Continuum Dynamics, Inc. 2005. Quad Cities 2 New Dryer Vulnerability Loads. C.D.I.

Technical Note No. 05-03.

2. Continuum Dynamics, Inc. 2005. Quad Cities 2 New Dryer SMT Loads. C.D.I. Technical Note No. 05-04.
3. Continuum Dynamics, Inc. 2005. Evaluation of Continuum Dynamics, Inc. Steam Dryer Load Methodology against Quad Cities Unit 2 In-Plant Data. C.D.I. Report No. 05-10.
4. Continuum Dynamics, Inc. 2005. Blind Evaluation of Continuum Dynamics, Inc. Steam Dryer Load Methodology against Quad Cities Unit 2 In-Plant Data at 2831 MWe. C.D.I.

Technical Note No. 05-37.

5. Continuum Dynamics, Inc. 2005. Improved Methodology to Predict Full Scale Steam Dryer Loads from In-Plant Measurements. C.D.I. Report No. 05-23.
6. Continuum Dynamics, Inc. 2007. Bounding Methodology to Predict Full Scale Steam Dryer Loads from In-Plant Measurements (Rev. 3). C.D.I. Report No. 05-28 (Proprietary).
7. Continuum Dynamics, Inc. 2007. Methodology to Predict Full Scale Steam Dryer Loads from In-Plant Measurements, with the Inclusion of a Low Frequency Hydrodynamic Contribution (Rev. 1). C.D.I. Report No. 07-09 (Proprietary).
8. NRC Request for Additional Information on the Hope Creek Generating Station, Extended Power Uprate. 2007. RAI No. 14.11.
9. Continuum Dynamics, Inc. 2005. Methodology to Determine Unsteady Pressure Loading on Components in Reactor Steam Domes (Rev. 6). C.D.I. Report No. 04-09 (Proprietary).
10. General Electric Company (C. Hinds). 2005. Dryer Sensor Locations. Letter Report No. GE-ENG-DRY-087. Dated 18 May 2005.
11. Structural Integrity Associates, Inc. 2008. Nine Mile Point Unit 2 Strain Gage Uncertainty Evaluation and Pressure Conversion Factors (Rev. 1). SIA Calculation Package No. NMP-26Q-301.
12. Communication from Enrico Betti. 2006. Excerpts from Entergy Calculation VYC-3001 (Rev. 3), EPU Steam Dryer Acceptance Criteria, Attachment I: VYNPS Steam Dryer Load Uncertainty (Proprietary).
13. Exelon Nuclear Generating LLC. 2005. An Assessment of the Effects of Uncertainty in the Application of Acoustic Circuit Model Predictions to the Calculation of Stresses in the Replacement Quad Cities Units 1 and 2 Steam Dryers (Revision 0). Document No. AM-21005-008.

40

ATTACHMENT 2 AFFIDAVIT FROM CONTINUUM DYNAMICS INCORPORATED (CDI)

JUSTIFYING WITHHOLDING PROPRIETARY INFORMATION Nine Mile Point Nuclear Station, LLC February 4, 2011

cI:z2M:- Continuum Dynamics, Inc.

(609) 538-0444 (609) 538-0464 fax 34 Lexington Avenue Ewing, NJ 08618-2302 AFFIDAVIT Re: C.D.I. Report No. 10-09 "ACM Rev. 4.1: Methodology to Predict Full Scale Steam Dryer Loads from In-Plant Measurements," Revision 3.

I, Alan J. Bilanin, being duly sworn, depose and state as follows:

1. I hold the position of President and Senior Associate of Continuum Dynamics, Inc. (hereinafter referred to as C.D.I.), and I am authorized to make the request for withholding from Public Record the Information contained in the documents described in Paragraph 2. This Affidavit is submitted to the Nuclear Regulatory Commission (NRC) pursuant to 10 CFR 2.390(a)(4) based on the fact that the attached information consists of trade secret(s) of C.D.I. and that the NRC will receive the information from C.D.I. under privilege and in confidence.
2. The Information sought to be withheld, as transmitted to Constellation Energy Group as attachments to C.D.I. Letter No. 11010 dated 21 January 2011, C.D.I. Report No. 10-09 "ACM Rev. 4.1: Methodology to Predict Full Scale Steam Dryer Loads from In-Plant Measurements,"

Revision 3.

3. The Information summarizes:

(a) a process or method, including supporting data and analysis, where prevention of its use by C.D.I.'s competitors without license from C.D.I. constitutes a competitive advantage over other companies; (b) Information which, if used by a competitor, would reduce his expenditure of resources or improve his competitive position in the design, manufacture, shipment, installation, assurance of quality, or licensing of a similar product; (c) Information which discloses patentable subject matter for which it may be desirable to obtain patent protection.

The information sought to be withheld is considered to be proprietary for the reasons set forth in paragraphs 3(a), 3(b) and 3(c) above.

4. The Information has been held in confidence by C.D.I., its owner. The Information has consistently been held in confidence by C.D.I. and no public disclosure has been made and it is not available to the public. All disclosures to third parties, which have been limited, have been made pursuant to the terms and conditions contained in C.D.I.'s Nondisclosure Secrecy Agreement which must be fully executed prior to disclosure.
5. The Information is a type customarily held in confidence by C.D.I. and there is a rational basis therefore. The Information is a type, which C.D.I. considers trade secret and is held in

confidence by C.D.I. because it constitutes a source of competitive advantage in the competition and performance of such work in the industry. Public disclosure of the Information is likely to cause substantial harm to C.D.I.'s competitive position and foreclose or reduce the availability of profit-making opportunities.

I declare under penalty of perjury that the foregoing affidavit and the matters stated therein are true and correct to be the best of my knowledge, information and belief.

Executed on this c_' day of -c LP x v 2011.

a(C"'U Alan J.*Bilanil 4L'ý Continuum Dynamics, Inc.

Subscribed and sworn before me this day: c~O //

een. umeis4 ,ly)rýbic EILEEN P. BURMEISTER NOTARY PUBLIC OF NEW JERSEY.

,MY COMM. EXPIRES MAY 6, 2012