ML051090270

Attachment 2, CDI Report No. 05-01, Rev 0, Revised Hydrodynamic Loads on Quad Cities Unit 2 Steam Dryer to 200 Hz, with Comparison to Dresden Units 2 & 3 Loads.

ML051090270
Person / Time
Site:	Dresden, Quad Cities
Issue date:	01/31/2005
From:	Bilanin A Continuum Dynamics
To:	Exelon Generation Co, Office of Nuclear Reactor Regulation
References
05-01, Rev 0
Download: ML051090270 (111)

Text

ATTACHMENT 2 CDI Report No. 05-01 Revised Hydrodynamic Loads on Quad Cities Unit 2 Steam Dryer to 200 Hz, with Comparison to Dresden Unit 2 and Dresden Unit 3 Loads, Revision 0

C.D.I. Report No. 05-01 Revised Hydrodynamic Loads on Quad Cities Unit 2 Steam Dryer to 200 Hz, with Comparison to Dresden Unit 2 and Dresden Unit 3 Loads Revision 0 Prepared by Continuum Dynamics, Inc.

34 Lexington Avenue Ewing, NJ 08618 Prepared under Purchase Order No. 77969 for Exelon Generation LLC 4300 Winfield Road Warrenville, IL 60555 Approved by Alan J. Bilanin January 2005

Executive Summary Measured in-plant pressure time-history data in the four main steam lines of Quad Cities Unit 2 (QC2), at the four venturi instrument lines and the four turbine instrument lines, are combined with measured in-plant pressure time-history data at the two water reference legs in the steam dome to drive a dynamic model of the entire steam system.

These data are first corrected for in-plant instrument line length effects, and then used to extract acoustic sources in the system. Once these sources have been obtained, the model is validated by predicting the strain / pressure time histories immediately upstream of an ERV on the B main steam line and comparing with data taken there (an additional, independent data source). The model is then used to predict the fluctuating pressures anticipated across components of the steam dryer in the reactor vessel. The hydrodynamic load data may then be used by a structural analyst to assess the structural adequacy of the steam dryer design(s) in QC2.

Similar data measurements - either the pressures at the four venturi instrument lines and the two water reference legs, or eight strain gage measurements - are also used to predict the fluctuating pressures anticipated for Dresden Unit 2 (DR2) and Dresden Unit 3 (DR3). These loads are compared against the QC2 loads in the Appendices.

This effort provides Exelon with a dryer load definition that comes directly from measured data, at power levels where pressure and strain gage data were measured.

Table of Contents Section Page Executive Summary .................................................... i Table of Contents ............ ii I. Introduction .......................................................... 1 II. Modeling Considerations ......................................................... 2 2.1 Helmholtz Analysis ......................................................... 2 2.2 Acoustic Circuit Analysis .................................................... 3 III. Input Pressure Data ......................................................... 7 IV. Model Validation ......................................................... 24 V. Results ......................................................... 26 VI. Conclusions............................................................................. 30 VII. References .......................................................... 31 VIII. Appendix A: Predictions of Pressure Time History in the Steam Dome ..... 33 IX. Appendix B: Revised Hydrodynamic Loads on Dresden 2 Steam Dryer..... 46 X. Appendix C: Revised Hydrodynamic Loads on Dresden 3 Steam Dryer..... 80 XI. Appendix D: Summary Comparison of Steam Dryer Loads .................... 106 ii

I. Introduction Analysis of the dryer failure at Quad Cities Unit 2 (QC2) during the summer of 2003 used the observed fatigue dryer damage to back-calculate a structural load consistent with this damage. Fatigue damage is dependent upon both magnitude of load and frequency of application. The analysis was not able to identify discrete frequencies and therefore could only recommend that a flat spectrum be used, with a forcing amplitude consistent with the observed damage. This flat spectrum is essentially equivalent to the assumption that the forcing is random, and did not have a strong physical basis, in light of the fact that subsequent subscale tests indicated that discrete frequencies were observed in the steam lines and the reactor steam dome.

Exelon obtained unsteady pressure time-history data in QC2 during plant operation. A previous report [1] analyzed these full-scale data sets with an acoustic circuit analysis that modeled the steam dome as a system of one-dimensional acoustic elements, and included the four main steam lines, the D-ring, and the piping downstream to the turbine. The model predicted the fluctuating pressures that should be expected to occur across components of the steam dryer in the reactor vessel, for the time histories available, and gave indication that an acoustic circuit approach could generate the loads anticipated there.

Contrary to the assumption of a flat loading spectrum, the data show that there are discrete deterministic phenomenon' at work in the steam dome and main steam lines that are responsible for the loading on the dryer.

Subsequent to this effort, the steam dome model was replaced by a solution of the Helmholtz equation (to permit dryer loads to be computed to frequencies greater than 50 Hz), additional modeling features were added to the analysis, and additional data (in particular, pressure time-history data at the two water reference legs and strain gage time-history data at a known location on the B main steam line) enable the model to better represent the dynamics anticipated in the steam system and across components of the QC2 steam dryer. These additional data were collected by Exelon, and a report [2]

written to analyze these data to 100 Hz and predict the loads anticipated for the full-scale data sets. This report extends that analysis to 200 Hz.

In addition, strain gage data were collected to 200 Hz at Dresden Unit 2 (DR2) and Dresden Unit 3 (DR3). These data are discussed in the Appendices of this report.

II. Modeling Considerations The QC2 steam supply system is broken 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.

2.1 Helmholtz Analysis A cross-section of the steam dome (and steam dryer) is shown below in Figure 2.1, with QC2 dimensions as verified in [3]. The complex three-dimensional geometry is rendered onto a uniformly-spaced rectangular grid (with mesh spacing of 3 inches), and a solution is obtained for the Helmholtz equation

__=V2 p+-P=

e 2p +epr + at a g2 po= is f an ai a where P is the pressure at a grid point, co is frequency, and a is acousti c speed.

Ih j

eFf i g.

k Nominal

-(W Water level Figure 2.1. Cross-sectional description of the steam dome and dryer, with the verified QC2 dimensions of a = 6.0 in, b = 28.5 in, c = 15.5 in, d = 19.0 in, e = 16.25 in, f = 75.0 in, g = 137.0 in, h = 23.0 in, i = 88.5 in, j = 166.63 in, k = 120.0 in, and R = 125.5 in.

2

This equation is solved for incremental frequencies from 0 to 200 Hz, subject to the boundary conditions dP =

dn normal to all solid surfaces (the steam dome wall and interior and exterior surfaces of the dryer),

kcO dP cc-P 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. The Helmholtz equation is solved by iteration [4] with GMRES acceleration [5].

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 200 Hz, acoustic wavelengths are approximately 8 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, as sketched in Figure 2.2, by a length L, a cross-sectional area A, a fluid mean density p, a fluid mean flow velocity U, and a fluid mean acoustic speed a.

A - element cross-sectional area U,p~ tJ I. I I _ L -

I Xn Figure 2.2. Schematic of an element in the acoustic circuit analysis, with length L and cross-sectional area A.

3

Application of acoustic circuit methodology generates solutions for the fluctuating pressure Pn and velocity un in the nth element of the form Pn -Ane ikInxn +Bneik2nXn Jict n [ O ' n

)A eiklnxn + (C+ Uk 2 nB neik2nXn let where harmonic time dependence of the form eint has been assumed. The wave numbers k1n and k2n are the two complex roots of the equation kn +i-2 (CO)+Unkn)( 2c+UnknY 0 Dna a where fn is the pipe friction factor for element n, Dn is the hydrodynamic diameter for element n, and i = [-I. 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.

The main steam line piping geometry is shown in Figure 2.3. This geometry is discretized into 44 elements, as shown in Figure 2.4, with the resulting system driven by shear layer motions at geometric discontinuities. These geometric discontinuities exist in the steam delivery system where convective velocities are high.

One source of energy transfer from the main steam velocity to unsteady motion results from the impingement of the shear layer in the main steam line over the 30-inch diameter D-ring junction. This oscillation of the shear layer [6] over the cavity formed by the D-ring header has an empirically determined preferred frequency of oscillation f of f = 0.44-p D

The preferred driving frequency with a main steam velocity at this junction of 145 ft/sec and D = 2.5 ft is 25.5 Hz. As will be shown, the plant data suggest that energy does indeed exist at this frequency in'the main steam lines. The circuit analysis should tell whether this energy at this frequency can propagate into the reactor dome.

Because the pressure is known at the four main steam venturi instrument locations (as shown in Figure 2.4), the solution approach may be separated into two parts: (1) the venturi pressure data may be used to compute the pressure upstream into the steam dome; this solution also predicts the velocity at the venturi instrument line locations and therefore (2) closes the downstream problem, enabling a match of the turbine instrument line data as well.

4

6-U2 S S.t' To line B Vi

• Venturi Instrumentatlon D18" 0

D is nTT51 Turbine Instrumentation C 0.20" VI L.24.T1V O-24' 0" 330' L 8,6.6' D - 3V L S IT L 4 47.49' O.D9nL s .r SRVPORV Ii L".16' D HPCI PORV L 2J.56 x ~~L

• 6' La6 4.25'

.4.4;_ 33.9r ,

D io1r VI

Z1t;

.1 L23.3 0 24 L .47.49' 0.23'L 0

.r L

N/ 11 5 D0-24" TI

. 0S L -23.56' poi1sr- I- L=3.5.

4.117.3* 3.05 1 I.9ilB sr *1-

° PORV 32 15" D* 214' L - * *T D030 D-21" L.6' L6 SG L ;" S3.19'

; ;; ; ~-L - 47.4A 3WLw .6 0D 1.. 024".59 02023i XPO4V PORV I- I" L 3.16' SRV SPRV To lleL.477 Figure 2.3. Geometry used inthe acoustic circuit analysis fior QC2. Sction A-A is shown in Figure 2.1. N-l IAand N-I IB denote the reference legs, while SG denotes the strain gage location.

5

157 133 C Line 7 9 13 21 25 29 37 41 5HPCI 118 134 D Line 8260300 19 RCIC 35 A Line 0 0 120 36 B Line I_ 2 00 --

t t1't t Main Steam Venturi Locations Turbine Instrumentation 1*...

Equalizer Turbine Control Line Locations Valves Connection to Steam Dome D-Ring Location Figure 2.4. Schematic of the elements used in the acoustic circuit analysis.

6

III. Input Pressure Data Pressure transducers were mounted on the main steam lines at the main steam venturi (venturi instrument lines), upstream of the turbine (turbine instrument lines), and on the water reference legs (water reference leg lines). These data sets are tabulated in Table 3.1. As the first 17 data sets were examined, it became clear that accurate water reference leg pressure data were needed to reduce the discretization error present in the water reference leg measurements (with resolution of 0.80 psid). To correct this problem, several additional data sets were taken (data sets 18 and higher) with more accurate water reference leg pressure transducer measurements (with resolution of 0.16 psid). The results shown in this report include only these more accurately obtained data sets.

All data provided were taken at the end of instrument lines whose lengths were verified by Exelon personnel. Lines were assumed filled with water to the condensing chambers, and the data were corrected for the instrument line effects of line length, acoustic speed, and losses along the line, by correcting the data in frequency space and then reconstructing the time signal at the instrument line location on the main steam line or in the steam dome. The resulting pressure time histories and Power Spectral Density functions (PSDs), for an acoustic speed of 4715 ft/sec, are shown on Figures 3.1 and 3.2 for data sets 18 and 19 (data sets 07 and 17, at the lowest power settings, and the unnumbered data sets, with more accurate water reference leg pressure transducer measurements, were not examined; the other data sets have been analyzed but are not reported here).

Turbine instrument line pressure data are not shown here as well, as the acoustic circuit analysis downstream of the venturi instrument lines cannot influence the dryer loads and are reported elsewhere.

In addition, a strain gage was mounted at a position 12 inches upstream of the first downstream ERV valve on the B main steam line (location "SG" on Figure 2.3). These data were supplied for the pre-EPU case (data set 18) and the EPU case (data set 19), and were converted to pressure P through the expression p= E(b -a )

2a 2 where E is Young's modulus (27.0 x 106 psid), £ is the measured dynamic strain, a is the inside radius of the main steam line (8.969 in), and b is the outside radius of the main steam line (10.0 in). These data are shown in Figures 3.3 and 3.4.

Preliminary results were delivered to Exelon for QC2 based on the four venturi instrument line pressures and the two water reference leg pressures. In these results the model was driven by the venturi data and predicted the mean of the RMS pressure for the two water reference legs. The addition of the strain gage data permits an expansion of the loads model, now driven by the venturi data and the water reference leg data, to 7

predict the RMS of the strain gage data. These results are reviewed in Section 5 of this report.

Specific to the data collected:

I. Data sets 10, 11, 12, and 03 cycled each of the turbine control valves (1, 2, 3, and 4, respectively);

2. Data set 04 opened a valve on the RCIC line;

3. Data set 05 opened a valve on the HPCI line;

4. Data set 06 opened a bypass valve on the D-ring; and

5. Data sets 13 and 14 turned off the recharge water into the A and B RVLIS lines, respectively.

Experience [1] demonstrates that the largest dryer loads are correlated with the highest RMS pressure levels. Thus, it is anticipated that the largest dryer load will occur in data set 19 with a mean feed flow rate of 11.24 x 106 lbs/hr (designated the EPU load).

This feed flow rate, however, is not the maximum feed flow rate possible in QC2 (11.50 x 106 lbs/hr was reached in [1]); therefore, the EPU load predicted here may not be the highest load acting across the steam dryer.

8

Table 3.1. Summary of QC2 Data Sets Data Feed Flow Date/Time Data Rate Description Set (106 lbs/hr) (samples/sec) 01 9.80 04/02 02:23 500 800 MWe (Pre-EPU) 02 11.50 04/07 14:18 500 913 MWe (EPU) 03 8.95 04/01 22:28 500 Turbine Control Valve #4 04 11.38 04/07 18:14 500 RCIC 05 11.50 04/07 17:19 500 HPCI 06 11.53 04/07 16:15 500 Bypass Valve 07 6.04 04/01 13:20 500 500 MWe (not examined) 08 10.65 04/07 10:36 500 860 MWe 09 11.03 04/07 11:54

• 500 880 MWe 10 8.92 04/01 21:26 500 Turbine Control Valve #1 11 8.97 04/01 21:50 500 Turbine Control Valve #2 12 8.99 04/01 22:09 500 Turbine Control Valve #3 13 9.90 04/14 11:25 500 A RVLIS off 14 9.83 04/14 12:21 500 B RVLIS off 15 10.16 04/07 08:17 500 820 MWe 16 11.31 04/07 13:05 500 895 MWe 17 8.43 04/01 19:04 500 690 MWe (not examined) 9.85 08/10 09:42 500 790 MWe (not examined) 18 9.92 06/28 14:40 500 798 MWe (Pre-EPU) 10.08 06/18 12:48 500 792 MWe (not examined) 10.47 08/11 08:26 500 850 MWe (not examined) 10.60 08/11 09:51 500 870 MWe (not examined) 10.93 08/11 11:07 500 890 MWe (not examined) 11.20 08/11 12:33 500 910 MWe (not examined) 19 11.24 08/11 13:31 500 912 MWe (EPU) 9

Venturi A Corrected Data: Pre-EPU 10

• e-5 CD2 0

0z co En

-5

-10 0 2 4 \6 8 10 12 14 16 Time (see)

Venturi A Corrected Data: Pre-EPU 0.8 0.7 N 0.6

. ---------------------.---------------------- ,-r----------__ _ _ ----------------------

• s-0.5 C14 0.4 co~

UD 0.3 ------------------------

P- 0.2 0.1 0

0 50 loo 150' 200 Frequency (Hz)

Figure 3.1a. Pre-EPU pressure time history and PSD corrected for the A venturi instrument line length.

10

Venturi B Corrected Data: Pre-EPU 8

---

1 --- ----------- . .......-.....---------- -'---------'---- -'--------- I-'---------

4

.2 0

C12 En -2

-6 0 2 4 6 8 10 12 14 16 Time (sec)

Venturi B Corrected Data: Pre-EPU 0.7 0.6 . ,

Figue 0. e-----

-. prm .......

e h.r.......

....... ... for -

.....c............e

0. . ,

0.3 -...----

---

4 ---------------------

Frqecy(z ------------- ---------- - ---------- -

Frequency (Hz)

Figure 3.1b. Pre-EPU pressure time history and PSD corrected for the B venturi instrument line length.

11

Venturi C Corrected Data: Pre-EPU 10 "a 5 (n

C14 sk 0

-o

cS sM

-5

-10 0 2 4 6 8 10 12 14 16 Time (sec)

Venturi C Corrected Data: Pre-EPU 0.8 0.7 0.6 _ . . . . . . . . . . . . .

N . . . . .. . .

0.5 I=-4 0.4 _____,-___-.__-------

---

-------- n----------------------r-- -----

0.3 _L , LL A 0.2 __'---- -- ---- ------

0.1 0

0 50 100 150 200 Frequency (Hz)

Figure 3.1c. Pre-EPU pressure time history and PSD corrected for the C venturi instrument line length.

12

Venturi D Corrected Data: Pre-EPU En ..... . . . . . . .

C)-

C)

(0 t t- I A I I I I !1 I 1 1 I I A -A - I I J 1 -

D 2 4 6 -8 10 12 14 16 Time (sec) cn Venturi D Corrected Data: Pre-EPU cl-4 3.5 3

N 2.5 _ .. . . . . .. . .. ............

2 1.5 ------------ --------------------------------

1 0.5 A I--iL..zI' ,A ,.'i'L,^LLL 0 50 100 150 A0o0 Frequency (Hz)

Figure 3.1d. Pre-EPU pressure time history and PSD corrected for the D venturi instrument line length.

13

Ni 1A Corrected Data: Pre-EPU 5

• -I "C~

.0co CA 0

' 1

5-4 co4 co.

0 2 4 6 8 10 12 14 16 Time (sec)

N I A Corrected Data: Pre-EPU 6

5 4 --------- ---------I----------------------,---- - .- _

• -4 r._ 3 C) 2 _. . . .. . . . . .. . . . . .... ... ,.. . .. . . . . . . . . . ... . . . .. . . .

cr 1

A v P 0 50 100 - 150 200 Frequency (Hz)

Figure 3.1e. Pre-EPU pressure time history and PSD corrected for the NI IA reference leg line length.

14

NI 1B Corrected Data: Pre-EPU 1 .A-------.-

0.5

-1.5

• 0 2 4 6 8 lo 12 14 16 Time (sec)

N II B Corrected Data: Pre-EPU 0.07

-0.540.06............. --- ------------- .. jJ

-1.5 COO . 0.02 -i ----------- ...........

50.0 ........................ .

Frequency (Hllz)

Figure 3.1 f. Pre-EPU pressure time history and PSD corrected for the NI I B reference leg line length.

15

Venturi A Corrected Data: EPU 10 . . . I I I A a;

00 ~5

-10 0 2 4 6 8 10 12 14 16 Time (sec)

Venturi A Corrected Data: EPU 1.4 1.2 ---------------------- - ----------- - - - - - -------------.------

N 1 _. ............

act ~0.8....._

C, . a_,06-------------I----7------------------,--------------

1< 0 ---- ----- --'-----------------

06 0.2 -- - - - - - -- - - - - - -- - - - i- - -

0 50 100 150 200 Frequency (Hz)

Figure 3.2a. EPU pressure time history and PSD corrected for the A venturi instrument line length.

16

Venturi B Corrected Data: EPU 10

• -N 5 a) 0 0)

-5 + kv-

-10 0 2 4 6 8 10 12 14 16 Time (sec)

Venturi B Corrected Data: EPU 0.6 0.5

._ 0.4 ut

-e 0.3 co 0.2 0.1 0

0 50' 100 150 200 Frequency (Hz)

Figure 3.2b. EPU pressure time history and PSD corrected for the B venturi instrument line length.

17

Venturi C Corrected Data: EPU lA 1 ' . I' 'I 'I I!. I II II:.1 . . . ,- -J .IrI ----. I...

- - 1hilr

. C,,q a) 1_, 0 C/)

VM aD

S4

-5

-10 0 2 4 6 8 10 12 14 16 Time (sec)

Venturi C Corrected Data: EPU U~5 0.4

.N 0.3 0.2 CQ 0.1 0

0 50 , 100 150 200 Frequency (Hz)

Figure 3.2c. EPU pressure time history and PSD corrected for the C venturi instrument line length.

18

Venturi D Corrected Data: EPU 10 5

0

=t.

En sH I.

I!

X k

-5

-10 0 2 4 6 8 10 12 14 16 Time (sec)

Venturi D Corrected Data: EPU 6

5. _ '-'-'''----..'---------------------- -------------------- -- ----------------

4 _----------',----------------------'-.-___.______________,.---- -- ---------------- _

.- 4 un 3 .............. ---P------ '----------- ---------------- __-- -- ---------------- __

CL4 2 ------- ,------------- ---- '------------------' -- -- -- -- -- -- ---I .. ........................__

I A LI I L I i, L.

0 50 100 150 .200 Frequency (Hz)

Figure 3.2d. EPU pressure time history and PSD corrected for the D venturi instrument line length.

19

Ni 1A Corrected Data: EPU 3

2 1l v.) 0I.

con Mo

-1

-2

-3 0 2 4 6 8 10 12 14 16 Time (sec)

Ni 1A Corrected Data: EPU 1.2 1

N 0.8 ... . . . . . . . . . . . . . . . . . . . .------------------ , --- -------------------. ,

t - . ..... 1......j V) 0.6 Cn 0.4 Q-0.2 - --- --------:----:----:--

--- l-------:----------

--- II A

0 50 loo100 15 200 Frequency (Hz)

Figure 3.2e. EPU pressure time history and PSD corrected for the Ni lA reference leg line length.

20

NI l Dat: Corecte EP N1 1B Corrected Data: EPU

• -q 0 .... . .. . . -----

U1) -- - -- - .... l'........ .. ..... - - - - - - - - - .. ....... ...

U) 0 I I I I'fIl11a l lt uI Ii A iI (4

D 2 4 6 8 10 12 14 16 Time (sec)

N.

P*

Ni lB Corrected Data: EPU 0.6 0.5 0.4 ~----*-@---------s--n-----------@---------r- ---------- *---------- --------I----------

0.3 0.2 0.1 ______:_,_____.___.__ ..

A

%J 0 50 100 150 200 Frequency (Hz)

Figure 3.2f. EPU pressure time history and PSD corrected for the NI lB reference leg line length.

21

Strain Gage Data: Pre-EPU 15 10 v). 5 C2 N./

=S 0

5n En CD -5 sv4

-10

-15 0 2 4 6 8 10 12 14 16 Time (sec)

Strain Gage Data: Pre-EPU 50

.. . . . . . . . . . - - - - - - - - -s - - -l - . . . . . . . .

40 -- - - - -- - - - .. . . . . . . . . . -- - - -- - - -

N tq, 30 _ - - - - - -- - - - - - - - - - -- - :--- - - - - - - -

CD 20 ........................ .

• -A 10 .....--

l -, I lI I , . I I JiLi 1 . ..... 1 I. I 0

0 50 . - 100 150 200 Frequency (Hz)

Figure 3.3. Pre-EPU pressure time history and PSD derived from strain gage data.

22

Strain Gage Data: EPU 20 15 - - - - - ... .. . ........ ... -- - -- - - ,- - -- - - -- - - -- - - -- - -

"O -

0.

-100 .al-j C2 C/)

--515

-1 .

-- - - - -. - - - - - . - - -- - - - - - - - - - - - -- -- -- - - - - - - - I. .. . .

oWn ,,I, ,,I, ,,I, ,,I,

-/LU 0 2 4 6 8 10 12 14 16 Time (sec)

-4 Strain Gage Data: EPU 70

- -- --- -r -- I- - - - -- - - - -I - - j---- - -- - - - - -- - - - - - -- - - - - -

60 N

50 _ .. . . * . . . . . ... ... . . . . . _..

40 _- - - - - - - - - - - - - - -- - - - - - - - - - - - - - - -- -- -- -------- _-- --.,,. . , .

CD1

."- 30 _ . . . . . . . . . . . . . . . . . . ... . . . . . . . . ....  :.. . . . .. . . . .

20 _ - - - - - - - - - -- - - - I- - - - -- - - -- - - - -- - -- - -- - -- - -- -

P4 10 A

%10 500 100 150 200 Frequency (Hz)

Figure 3.4. EPU pressure time history and PSD derived from strain gage data.

23

IV. Model Validation The recorded pressure time histories were first corrected for instrument line length, cross-sectional area, and acoustic speed. This correction procedure incorporated the results of a separate experiment involving full-scale instrument lines filled with water and operating at atmospheric pressure [7]. Table 4.1 summarizes the line lengths used in the analysis, including the lengths from the steam dome to the venturi instrument line location on each of the main steam lines.

Previous results [1] have shown that a multiplier of 1.05 on the pipe friction factor was sufficient to bound the RMS of the pressures on the main steam lines at the turbine instrument line -locations.-This-multiplier-is retained-in-the present analysis. -The revised acoustic circuit model takes as input the four venturi instrument line pressure time histories and the two water reference leg pressure time histories.

The model is validated by adjusting a modeling constant to match the strain gage RMS pressure levels for the pre-EPU and EPU power settings, and interpolating between these two results-to set the modeling constant for each of the other QC2 data sets.

Model validation downstream - involving the four turbine instrument line pressure time histories - would determine the sources assumed at the D-ring junction and across the main steam stop valve equalizer.

24

Table 4.1. Summary of QC2 Line Lengths [8]

Main steam line lengths from steam dome to venturi instrument lines:

A: 80.44 ft B: 92.43 ft C: 93.65 ft D: 81.11 ft Venturi Instrument Line Lengths:

1 inch Diameter 1 inch Diameter I2 inch Diameter Rack to Steam Leg (ft) Water Leg (ft) Water Leg (ft) Transducer (fi)

A: 3.42 73.26 144.75 2.0 B: 3.46 70.55 148.92 2.0 C: 3.46 41.57 208.04 2.0 D: 3.46 44.15 206.21 2.0 Turbine Instrument Line Lengths:

3/4 inch Diameter 1/2 inch Diameter Rack to Water Leg (ft) Water Leg (ft) Transducer (ft)

A: 0.75 97.35 2.0 B: 0.75 106.83 2.0 C: 0.75 91.23 2.0 D: 0.75 94.69 2.0 Reference Leg Instrument Line Lengths:

1 inch Diameter 1 inch Diameter '/2 inch Diameter Rack to Steam Leg (fit) Water Leg (ft) Water Leg (fi) Transducer (fi)

NlIA: 3.13 22.27 70.59 2.0 Nu IB: 3.13 21.79 38.77 2.0 25

V. Results The model (subject to the approximations and limitations described above) can now be used to predict the pressure time histories in the reactor steam space as a function of position and time.

Preliminary analysis based upon a model that included the four venturi pressure time histories and matched the mean of the RMS of the two water reference leg pressure time histories provided the dryer loads to 50 Hz as shown in Figure 5.1. This figure presents the maximum differential pressure and RMS pressure predicted at 132 nodes identified on the steam dryer, as defined by geometry considerations detailed in the Appendix.

In the previous analysis [2] the inclusion of the strain gage data on the B main steam line permitted the model to match the four venturi pressure time histories, the two water reference leg time histories, and the RMS of the pressure time history derived from the strain gage time history. The dryer loads for pre-EPU and EPU conditions to 100 Hz are shown in Figure 5.2.

The model predicts the maximum predicted load to occur on the 90° side of the steam dome (where the A and B main steam lines are positioned). This side is the side of the steam dryer where most of the cracking was observed. The loads package includes the pressure time histories at the 132 steam dryer nodes for both the pre-EPU and EPU cases.

All results are for an acoustic speed of 4715 ft/s in the instrument lines.

Sensitivity of these results is shown in the science report [9].

In the present analysis the dryer loads are extended to 200 Hz by combining the previous pressure loads [2] with in-phase application of the strain gage data, positioned on all four main steam lines at the same location as the strain gage on line B, from 100 Hz to 200 Hz (these data are shown in Figures 3.3 and 3.4). The combined results are shown in Figure 5.3.

The use of strain gage data collected at DR2 and DR3 are discussed in Appendices B and C, respectively.

26

3 _

V-4 2.5 --. , --- Pre-EPU (04/22) . ....

. l EPU (04/22)

Csv 2 _~~~~~~~~-r . . . . . . . .. . . - . - . - . - . - - - ..- - -,-- - - - - - - - - I-- - - - - - - _--; - - - _____

nzcn 1.5 . . . .. .... . .

• E En

= U 1

__]_______t______

______ __J__ ____ _.___ ____ ._____ s__1 0.5 0 SA. ' ;. M' K1 1 20 40 60 80 100 120 140 Node Number 0.8

• -I 0.7 Pre-EPU (04/22)-

cn EPU (04/22) . , ------

0._ 0.6 C.,-

35 0.5 0.4

-I

t. -------2----------

W ......... ....

P: 0.3 ... . .. . . . .. . . . -- - - ....-

0.2 0.1 0

0 20 40 60 80 100 120 140 Node Number Figure 5.1. Pre-EPU and EPU loads delivered on 22 April 2004, to 50 Hz.

27

3.5 03 3 0)

• - 2.5 -. ' . '.. Pre-EPU

0) EPU CDEn 2 _- - -- - . . . *...... ... - - --....... ... . ..

Ci2

• - 01)

C/ 1.5 Oe P-4 1 ... ........ ..

0.5

/ *0 V1.--.1 L 0

0 20 40 60 80 100 120 140 Node Number 1.6

/ -N 1.4 _.- -- - - .... ,......... ......

Pre-EPU

. 4 1.2 --- ------- ------ ----------- EPU --i''''''T--'--

En

0) 1 5- 0.8 . ... .. . ..... ............ _ ._._

0) 0.6 0.4 A-I i,'..-

0.2 0

0 20 40 60 80 100 120 140 Node Number Figure 5.2. Pre-EPU and EPU loads as developed by the previous methodology [2] to 100 Hz.

28

4 3.5

• Pre-EPU

= /- N , .1 . .

3 2.5 2

.1.. ..--.. . ----

1.5 1

-- '1...' ------------- ------- ------- .. ...:..-

0.5 - ------------------, --- --------- ----

0 0 20 40 60 80 100 120 140 Node Number EV)

$4

.,4 - 1.6 1.4 - - - - - - - - .. . . . . . -------------

w- ------------

Pre-EPU .

1.2 . .

'.... EPU - , _

1 0.8 0.6

-I- - - - U- - - -

0.4 0.2 0

0 20 40 60 80 100 120 140 Node Number Figure 5.3. Pre-EPU and EPU loads as developed by the current methodology to 200 Hz.

29

VI. Conclusions The C.D.I. acoustic circuit analysis used with in-plant data from QC2 a) Determines that steam dryer hydrodynamic loads are highest at the highest reactor power setting.

b) Predicts the maximum loading on the dryer occurs predominantly at frequencies between 25 and 35 Hz in the 0 to 200 Hz frequency range. Loading above 100 Hz increases the peak differential loads on the steam dryer by about 10% at EPU conditions.

c) Predicts that the loads on dryer components are largest for components nearest the main steam line inlets and decrease inward into the reactor vessel.

d) May not determine the highest dryer load, if steam flow rates in excess of 11.50 x 106 lbs/hr are achieved in QC2.

Conclusions with regard to DR2 and DR3 may be found in Appendices B and C, respectively. Appendix D compares the predicted loads for all three plants. In general, DR2 steam dryer loads are about a quarter of those predicted for. QC2 over the power levels analyzed.

30

VII. References

1. Continuum Dynamics, Inc. 2003. Hydrodynamic Loads on Quad Cities Unit 2 Steam Dryer. C.D.I. Report No. 03-1S.

2. Continuum Dynamics, Inc. 2004. Revised Hydrodynamic Loads on Quad Cities Unit 2 Steam Dryer. C.D.I. Report No. 04-08.

3. Tu, T. 2004. Verification of Dimensions for Quad Cities I & 2 and Dresden 2 & 3 Steam Dome and Steam Dryer. GE-NE-0000-0026-6917-1 1, Rev. 1.

4. Press, W. H., S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery. 1992. Numerical Recipes in FORTRAN- The Art ofScientiflc Computing (Second Edition). Cambridge University Press. Section 19.5.

5. Wigton, L. B., N. J. Yu and D. P. Young. 1985. GMRES Acceleration of Computational Fluid Dynamics Codes. AIAA Paper No. 85-1494.

6. Weaver, D. S. and G. 0. MacLeod. 1999. Entrance Port Rounding Effects on Acoustic Resonance in Safety Relief Valves. PVP-Vol. 389: Flow-Induced Vibration.

1999 ASME Pressure Vessels and Piping Conference. Boston: MA.

7. Continuum Dynamics, Inc. 2004. Test Report for Validating an Instrument Line Acoustic Transmission Model. C.D.I. Report No. 04-12.

8. Main Steam Line Lengths: Drawing M-3101 sheets I and 2 (annotated to show differences between Quad Cities 1 and 2 and Dresden 2 and 3). Venturi Instrument Line Lengths: TODI Nos. QDC-04-14, QDC-04-15, and QDC-04-18 (where applicable) - Sketches 2, 3, 4, 5, 6, 7, and 8 (Main Steam Lines A and B); Sketches 9, 10, and 11 (Main Steam Lines C and D). Turbine Instrument Line Lengths: TODI Nos. QDC-04-14, QDC-04-15, and QDC-04-18 (where applicable) - Sketch 12.

Reference Leg Line Lengths: M-3665 Sheet 2 (NI lA); M-3667 Sheet 2 (NI 1B).

9. Continuum Dynamics, Inc. 2005. Methodology to Determine Unsteady Pressure Loading on Components in Reactor Steam Domes (Rev. 5). C.D.I. Report No. 04-09 (Proprietary).

10. Main Steam Line Lengths: Drawing M-3 101 sheets I and 2 (annotated to show differences between Quad Cities land 2 and Dresden 2 and 3). Venturi Instrument Line Lengths: ISO 30-1051, 30-1022, 30-1023 (Main Steam Line A); ISO 30-1045, 30-1026, 30-1027 (Main Steam Line B); ISO 30-1046, 30-1020, 30-1021 (Main Steam Line C); and ISO 30-1048, 30-1016, 30-1017 (Main Steam Line D). Turbine Instrument Line Lengths: ISO 30-1036, 30-1035 (Main Steam Line A); ISO 30-1038, 30-1037 (Main Steam Line B); ISO 30-1032, 30-1031 (Main Steam Line C); and ISO 30-1034, 30-1033 (Main Steam Line D). Reference Leg Line Lengths: M-4023 Sheet 2 (N13A); M-4023 Sheet 1 (N13B); also TODI CC 2004-9990.

31

11. Main Steam Line Lengths: Excel spreadsheet from Sharon Eldridge - Quad Cities -

MS Piping 2.xls. Venturi Instrument Line Lengths: ISO 30-2044, 30-2033 (Main Steam Line A); ISO 30-2046, 30-2035 (Main Steam Line B); ISO 30-2038, 30-2027 (Main Steam Line C); and ISO 30-2040, 30-2029 (Main Steam Line D). Turbine Instrument Line Lengths: ISO 30-2014, 30-2013 (Main Steam Line A); ISO 30-2021, 30-2020 (Main Steam Line B); ISO 30-2016, 30-2015 (Main Steam Line C); and ISO 30-2019, 30-2018 (Main Steam Line D). Reference Leg Line Lengths: M-4025 Sheet 1 (N13A); M-4062 Sheet I (N13B).

32

VIII. Appendix A Predictions of Pressure Time History in the Steam Dome Model predictions are collected into an ASCII data file containing the time history data for the predictions of differential pressure (psid) across various locations on the plates in the dryer. A cross-sectional schematic of the geometry is shown in Figure A.1.

Perspective views of the steam'dryer panels are provided in Figure A.2.

For horizontal plates, pressure differences are computed by subtracting the pressure below the plate from the pressure above the plate. For most vertical plates inside the skirt and hood, pressure differences are computed by subtracting the pressure to the right of the plate from the pressure to the left of the plate (the direction designated "left" for vertical plates faces MSL C and D; "right" faces MSL A and B). For skirt plates, pressure differences are computed by subtracting the pressure inside the skirt from the pressure outside the skirt.

Pressure differences are provided at all plate intersections, and along the steam dryer centerline (the 900 and 2700 directions). Details at all of the grid mesh points (3 inches apart) on the dryer surface (C-D side) were also provided for pre-EPU and EPU conditions, but are not shown here.

Each output file contains 16 seconds of data with a time difference of 0.002 seconds to extract results to 200 Hz. There are 133 columns of data:

1. Time

2. Pressure difference across the skirt at the steam dryer centerline below MSL C and D at the nominal water level (Figure A.2d)

3. Pressure difference at the skirt and cover plate intersection at the steam dryer centerline below MSL C and D (Figures A.2a and A.2d)

4. Pressure difference across the skirt on the MSL B/C side below the F outer bank hood at the nominal water level (Figure A.2d)

5. Pressure difference across the skirt on the MSL A/D side below the F outer bank hood at the nominal water level (Figure A.2d)

6. Pressure difference across the skirt and the F outer bank hood on the MSL B/C side at the cover plate intersection (Figures A.2a, A.2c, and A.2d)

7. Pressure difference across the F outer bank hood at the steam dryer centerline at the cover plate intersection (Figures A.2a and A.2c)

8. Pressure difference across the skirt and the F outer bank hood on the MSL A/D side at the cover plate intersection (Figures A.2a, A.2c, and A.2d)

.9. Pressure difference across the skirt and the F outer bank hood on the MSL B/C side at the top plate intersection (Figures A.2b, A.2c, and A.2d)

10. Pressure difference across the F outer bank hood at the steam dryer centerline at the top plate intersection (Figures A.2b and A.2c) 33

11. Pressure difference across the skirt and the F outer bank hood on the MSL A/D side at the top plate intersection (Figures A.2b, A.2c, and A.2d)

12. Pressure difference across the F bottom plate open edge at the skirt on the MSL B/C side (Figure A.2a)

13. Pressure difference across the F bottom plate open edge at the steam dryer centerline (Figure A.2a)

14. Pressure difference across the F bottom plate open edge at the skirt on the MSL A/D side (Figure A.2a)

15. Pressure difference across the F top plate corner edge at the skirt on the MSL B/C side (Figures A.2b and A.2e)

16. Pressure difference across the F top plate corner edge at the steam dryer centerline (Figures A.2b and A.2e)

17. Pressure difference across the F top plate corner edge at the skirt on the MSL A/D side (Figures A.2b and A.2e)

18. Pressure difference across the top of the F side hood at the skirt on the MSL B/C side (Figure A.2e)

19. Pressure difference across the top of the F side hood at the steam dryer centerline (Figure A.2e)

20. Pressure difference across the top of the F side hood at the skirt on the MSL A/D side (Figure A.2e)

21. Pressure difference across the skirt on the MSL B/C side below the E inner bank hood at the nominal water level (Figure A.2d)

22. Pressure difference across the skirt on the MSL A/D side below the E inner bank hood at the nominal water level (Figure A.2d)

23. Pressure difference across the skirt on the MSL B/C side at the E inner bank hood intersection with the F bottom plate (Figure A.2d)

24. Pressure difference across the skirt on the MSL A/D side at the E inner bank hood intersection with the F bottom plate (Figure A.2d)

25. Pressure difference across the E inner bank hood on the MSL B/C side at the F bottom plate intersection (Figures A.2a and A.2c)

26. Pressure difference across the E inner bank hood at the steam dryer centerline at the F bottom plate intersection (Figures A.2a and A.2c)

27. Pressure difference across the E inner bank hood on the MSL A/D side at the F bottom plate intersection (Figures A.2a and A.2c)

28. Pressure difference across the skirt on the MSL B/C side at the E inner bank hood intersection with the E top plate (Figures A.2d and A.2e)

29. Pressure difference across the skirt on the MSL A/D side at the E inner bank hood intersection with the E top plate (Figures A.2d and A.2e)

30. Pressure difference across the E inner bank hood on the MSL B/C side at the E top plate intersection (Figures A.2b and A.2c)

31. Pressure difference across the E inner bank hood at the steam dryer centerline at the E top plate intersection (Figures A.2b and A.2c)

32. Pressure difference across the E inner bank hood on the MSL A/D side at the E top plate intersection (Figures A.2b and A.2c)

33. Pressure difference across the top edge of the skirt above the E inner bank hood on the MSL B/C side (Figure A.2e) 34

34. Pressure difference across the top edge of the skirt above the E inner bank hood on the MSL AID side (Figure A.2e)

35. Pressure difference across the E bottom plate open edge at the skirt on the MSL B/C side (Figure A.2a)

36. Pressure difference across the E bottom plate open edge at the steam dryer centerline (Figure A.2a)

37. Pressure difference across the E bottom plate open edge at the skirt on the MSL A/D side (Figure A.2a)

38. Pressure difference across the E top plate open edge at the skirt on the MSL B/C side (Figure A.2b)

39. Pressure difference across the E top plate open edge at the steam dryer centerline (Figure A.2b)

40. Pressure difference across the E top plate open edge at the skirt on the MSL A/D side (Figure A.2b)

41. Pressure difference across the skirt on the MSL B/C side below the D inner bank hood at the nominal water level (Figure A.2d)

42. Pressure difference across the skirt on the MSL A/D side below the D inner bank hood at the nominal water level (Figure A.2d)

43. Pressure difference across the skirt on the MSL B/C side at the D inner bank hood intersection with the E bottom plate (Figure A.2d)

44. Pressure difference across the skirt on the MSL A/D side at the D inner bank hood intersection with the E bottom plate (Figure A.2d)

45. Pressure difference across the D inner bank hood on the MSL B/C side at the E bottom plate intersection (Figures A.2a and A.2c)

46. Pressure difference across the D inner bank hood at the steam dryer centerline at the E bottom plate intersection (Figures A.2a and A.2c)

47. Pressure difference across the D inner bank hood on the MSL A/D side at the E bottom plate intersection (Figures A.2a and A.2c)

48. Pressure difference across the skirt on the MSL B/C side at the D inner bank hood intersection with the D top plate (Figures A.2d and A.2e)

49. Pressure difference across the skirt on the MSL AID side at the D inner bank hood intersection with the D top plate (Figures A.2d and A.2e)

50. Pressure difference across the D inner bank hood on the MSL B/C side at the D top plate intersection (Figures A.2b and A.2c)

51. Pressure difference across the D inner bank hood at the steam dryer centerline at the D top plate intersection (Figures A.2b and A.2c)

52. Pressure difference across the D inner bank hood on the MSL A/D side at the D top plate intersection (Figures A.2b and A.2c)

53. Pressure difference across the top edge of the skirt above the D inner bank hood on the MSL B/C side (Figure A.2e)

54. Pressure difference across the top edge of the skirt above the D inner bank hood on the MSL A/D side (Figure A.2e)

55. Pressure difference across the D bottom plate open edge at the skirt on the MSL B/C side (Figure A.2a)

56. Pressure difference across the D bottom plate open edge at the steam dryer centerline (Figure A.2a) 35

57. Pressure difference across the D bottom plate open edge at the skirt on the MSL A/D side (Figure A.2a)

58. Pressure difference across the D top plate open edge at the skirt on the MSL B/C side (Figure A.2b)

59. Pressure difference across the D top plate open edge at the steam dryer centerline (Figure A.2b)

60. Pressure difference across the D top plate open edge at the skirt on the MSL A/D side (Figure A.2b)

61. Pressure difference across the skirt on the MSL B/C side below the center inner bank hood at the nominal water level (Figure A.2d)

62. Pressure difference across the skirt on the MSL A/D side below the center inner bank hood at the nominal water level (Figure A.2d)

63. Pressure difference across the skirt on the MSL B/C side at the intersection with the C/D bottom plate (Figure A.2d)

64. Pressure difference across the skirt on the MSL A/D side at the intersection with the C/D bottom plate (Figure A.2d)

65. Pressure difference across the center inner bank hood on the MSL B/C side at the C/D bottom plate intersection (Figures A.2a and A.2c)

66. Pressure difference across the center inner bank hood at the steam dryer centerline at the C/D bottom plate intersection (Figures A.2a and A.2c)

67. Pressure difference across the center inner bank hood on the MSL A/D side at the C/D bottom plate intersection (Figures A.2a and A.2c)

68. Pressure difference across the skirt on the MSL B/C side at the top edge (Figures A.2d and A.2e)

69. Pressure difference across the skirt on the MSL A/D side at the top edge (Figures A.2d and A.2e)

70. Pressure difference across the center inner bank hood on the MSL B/C side at the top edge (Figure A.2c)

71. Pressure difference across the center inner bank hood at the steam dryer centerline at the top edge (Figure A.2c)

72. Pressure difference across the center inner bank hood on the MSL A/D side at the top edge (Figure A.2c)

73. Pressure difference across the top edge of the skirt above the center inner bank hood on the MSL B/C side (Figure A.2e)

74. Pressure difference across the top edge of the skirt above the center inner bank hood on the MSL A/D side (Figure A.2e)

75. Pressure difference across the C bottom plate open edge at the skirt on the MSL B/C side (Figure A.2a)

76. Pressure difference across the C bottom plate open edge at the steam dryer centerline (Figure A.2a)

77. Pressure difference across the C bottom plate open edge at the skirt on the MSL A/D side (Figure A.2a)

78. Pressure difference across the C top plate open edge at the skirt on the MSL B/C side (Figure A.2b)

79. Pressure difference across the C top plate open edge at the steam dryer centerline (Figure A.2b) 36

80. Pressure difference across the C top plate open edge at the skirt on the MSL A/D side (Figure A.2b)

81. Pressure difference across the skirt on the MSL B/C side below the C inner bank hood at the nominal water level (Figure A.2d)

82. Pressure difference across the skirt on the MSL A/D side below the C inner bank hood at the nominal water level (Figure A.2d)

83. Pressure difference across the skirt on the MSL B/C side at the C inner bank hood intersection with the B bottom plate (Figure A.2d)

84. Pressure difference acrdss the skirt on the MSL A/D side at the C inner bank hood intersection with the B bottom plate (Figure A.2d)

85. Pressure difference across the C inner bank hood on the MSL B/C side at the B bottom plate intersection (Figures A.2a and A.2c)

86. Pressure difference across the C inner bank hood at the steam dryer centerline at the B bottom plate intersection (Figures A.2a and A.2c)

87. Pressure difference across the C inner bank hood on the MSL A/D side at the B bottom plate intersection (Figures A.2a and A.2c)

88. Pressure difference across the skirt on the MSL B/C side at the C inner bank hood intersection with the C top plate (Figures A.2d and A.2e)

89. Pressure difference across the skirt on the MSL A/D side at the C inner bank hood intersection with the C top plate (Figures A.2d and A.2e)

90. Pressure difference across the C inner bank hood on the MSL B/C side at the C top plate intersection (Figures A.2b and A.2c)

91. Pressure difference across the C inner bank hood at the steam dryer centerline at the C top plate intersection (Figures A.2b and A.2c)

92. Pressure difference across the C inner bank hood on the MSL A/D side at the C top plate intersection (Figures A.2b and A.2c)

93. Pressure difference across the top edge of the skirt above the B inner bank hood on the MSL B/C side (Figure A.2e)

94. Pressure difference across the top edge of the skirt above the B inner bank hood on the MSL A/D side (Figure A.2e)

95. Pressure difference across the B bottom plate open edge at the skirt on the MSL B/C side (Figure A.2a)

96. Pressure difference across the B bottom plate open edge at the steam dryer centerline (Figure A.2a)

97. Pressure difference across the B bottom plate open edge at the skirt on the MSL A/D side (Figure A.2a)

98. Pressure difference across the B top plate open edge at the skirt on the MSL B/C side (Figure A.2b)

99. Pressure difference across the B top plate open edge at the steam dryer centerline, (Figure A.2b) 100. Pressure difference across the B top plate open edge at the skirt on the MSL A/D side (Figure A.2b) 101. Pressure difference across the skirt on the MSL B/C side below the B inner bank hood at the nominal water level (Figure A.2d) 102. Pressure difference across the skirt on the MSL A/D side below the B inner bank hood at the nominal water level (Figure A.2d) 37

103. Pressure difference across the skirt on the MSL B/C side at the B inner bank hood intersection with the A bottom plate (Figure A.2d) 104. Pressure difference across the skirt on the MSL A/D side at the B inner bank hood intersection with the A bottom plate (Figure A.2d) 105. Pressure difference across the B inner bank hood on the MSL B/C side at the A bottom plate intersection (Figures A.2a and A.2c) 106. Pressure difference across the B inner bank hood at the steam dryer centerline at the A bottom plate intersection (Figures A.2a and A.2c) 107. Pressure difference across the B inner bank hood on the MSL A/D side at the A bottom plate intersection (Figures A.2a and A.2c) 108. Pressure difference across the skirt on the MSL B/C side at the B inner bank hood intersection with the B top plate (Figures A.2d and A.2e) 109. Pressure difference across the skirt on the MSL A/D side at the B inner bank hood intersection with the B top plate (Figures A.2d and A.2e) 110. Pressure difference across the B inner bank hood on the MSL B/C side at the B top plate intersection (Figures A.2b and A.2c) 111. Pressure difference across the B inner bank-hood at the steam dryer centerline at the B top plate intersection (Figures A.2b and A.2c) 112. Pressure difference across the B inner bank hood on the MSL A/D side at the B top plate intersection (Figures A.2b and A.2c)

.113. Pressure difference across the top edge of the skirt above the B inner bank hood on the MSL B/C side (Figure A.2e) 114. Pressure difference across the top edge of the skirt above the B inner bank hood on the MSL A/D side (Figure A.2e) 115. Pressure difference across the A bottom plate open edge at the skirt on the MSL B/C side (Figure A.2a) 116. Pressure difference across the A bottom plate open edge at the steam dryer centerline (Figure A.2a) 117. Pressure difference across the A bottom plate open edge at the skirt on the MSL A/D side (Figure A.2a) 118. Pressure difference across the A top plate corner edge at the skirt on the MSL B/C side (Figures A.2b and A.2e).

119. Pressure difference across the A top plate corner edge at the steam dryer centerline (Figures A.2b and A.2e) 120. Pressure difference across the A top plate corner edge at the skirt on the MSL A/D side (Figures A.2b and A.2e) 121. Pressure difference across the top of the A side hood at the skirt on the MSL B/C side (Figure A.2e) 122. Pressure difference across the top'of the A side hood at the steam dryer centerline (Figure A.2e) 123. Pressure difference across the top of the A side hood at the skirt on the MSL A/D side (Figure A.2e) 124. Pressure difference across the skirt on the MSL B/C side below the A outer bank hood at the nominal water level (Figure A.2d) 125. Pressure difference across the skirt on the MSL A/D side below the A outer bank hood at the nominal water level (Figure A.2d) 38

126. Pressure difference across the skirt and the A'outer bank hood on the MSL B/C side at the cover plate intersection (Figures A.2a, A.2c, and A.2d) 127. Pressure difference across the A outer bank hood at the steam dryer centerline at the cover plate intersection (Figures A.2a and A.2c)'

128. Pressure difference across the skirt and the A outer bank hood on the MSL A/D side at the cover plate intersection (Figures A.2a, A.2c, and A.2d) 129. Pressure difference across the skirt and the A outer bank hood on the MSL B/C side at the top plate intersection (Figures A.2b, A.2c, and A.2d) 130. Pressure difference acrdss the A outer bank hood at the steam dryer centerline at the top plate intersection (Figures A.2b and A.2c) 131. Pressure difference across the skirt and the A outer bank hood on the MSL A/D side at the top plate intersection (Figures A.2b, A.2c, and A.2d) 132. Pressure difference across the skirt at the steam dryer centerline below MSL A and B at the nominal water level (Figure A.2d) 133. Pressure difference at the skirt and cover plate intersection at the steam dryer centerline below MSL A and B (Figures A.2a and A.2d) 39

TOP VIEW:

2,3 Pressure data locations MSL B 900 MSL A Pressure data SIDE VIEW: locations F E D C B A 3 133 MSLC&D MSLA&B Nominal Water Level

() )-----3---G- --------- G-3------ - -O--------0 --- ----- 03------- -( ----- E 2 132 Figure A.1 Top and side view schematic of pressure node locations on the steam dryer.

40

Figure A.2a. Bottom plates pressure node locations, with pressures acting downward in the notation defined here.

41

.1

.1 I

,11 II I

• 10

-b-.-- T- b--s--W-- .. IJ 13 39 51 II II I

"9 I II II 15

,30 I

Figure A.2b. Top plates pressure node locations, with pressures acting downward in the notation defined here.

42

Figure A.2c. Vertical plates: Pressures acting left to right on panels 6-11, 25-32, 45-52, and 65-72; acting right to left on panels 85-92, 105-112, and 126-13 1.

43

Figure A.2d. Skirt plates: Pressure acting outward on the outer dryer 0/180 surfaces and the skirt.

44

=2120 r--~ 119 Fc Figure A.2e. Top skirt: Pressure acting outward on the outer surface.

45

IX. Appendix B Revised Hydrodynamic Loads on Dresden 2 Steam Dryer The development of the hydrodynamic loads on the Dresden 2 (DR2) steam dryer initially follows the same procedure as for QC2. Since the steam dome and steam dryers are identical, the Helmholtz solution for QC2 can be used for DR2 as well. The DR2 data sets are summarized in Table B.1. 'Note that the first data sets contained the discretization error in the water reference leg measurements. Thus, several additional data sets were taken (data sets 06 through 09) with more accurate water reference leg pressure transducer measurements. The resulting pressure time histories and PSDs are shown in Figures B.1 and B.2 for data sets 09 and 06, respectively.

The DR2 line lengths are summarized in Table B.2, and in many cases are similar to the QC2 line lengths (a schematic is shown in Figure B.3). The modeling constant developed for QC2 in the acoustic circuit analysis is applied to DR2, as Dresden 2 did not record strain gage data for data sets 06 through 09. The dryer loads for pre-EPU and EPU conditions at DR2, to 100 Hz, are shown in Figure B.4.

DR2 data were separately collected at eight strain gages, installed on the four main steam lines at the following distances from the reactor vessel:

Main Steam Line Upper Strain Gage (ft) Lower Strain Gage (fi)

A 7.4 44.3 B 7.4 37.7 C 7.4 45.3 D 7.4 44.3 These locations are upstream of any ERV or other junctions or tees from the main steam lines. Three sets of data (12, 14, and 15) were analyzed for three power levels. A summary of these data follows:

Power Level (MWt) Main Steam Peak Strain Peak RMS Average RMS Line Flow Gage Pressure Strain Gage Strain Gage Rate (psid) Pressure Pressure (psid)

(Mlbs/hr) (psid) 2506 (Pre-EPU) 9.71 5.28 1.28 0.87 2723 10.92 6.09 . 1.37 1.07 2834 (EPU) 11.47 7.15 1.50 1.11 These data were analyzed using CDI's loads transfer methodology incorporating eight independent data sets (the eight strain gages, Figures B.5 and B.6). A nodal summary of the three power levels (to 200 Hz) is shown in Figure B.7.

46

Table B.1. Summary of DR2 Data Sets Used in the Analysis.

Data Feed Flow Date/Time Data Rate Description Set (106 lbs/hr) (samples/sec) 01 11.54 06/03 19:12 500 (EPU)

. .1 02 9.86 (steam) 500 (Pre-EPU) 04 11.44 05/22 00:14 500 898 MWe 06 11.50 06/03 19:14 500 (EPU) 08 11.01 05/22 00:24 500 09 10.32 05/22 00:43 500 (Pre-EPU) 12 11.13 12/13 15:00 2000 (EPU) 14 10.64 12/13 13.27 2000 15 9.77 12/13 10:14 2000 (Pre-EPU) 47

Venturi A Corrected Data: Pre-EPU 6

4

/-e1 nv 2 0

En ri

-2

-4

-6 2 4 6 8 10 12 14 16 Time (sec)

Venturi A Corrected Data: Pre-EPU 0.4 - -

0.35 - -- - - - - - - - -

N 0.3 0.25 CD 0.2 0.15 ------------------------------- ------- --

CT 0.1 0.05 0 _ ...... .

0 '50 100 150 200 Frequency (Hz)

Figure B.la. Pre-EPU pressure time history and PSD corrected for the A venturi instrument line length.

48

15 -I i I I Venturi B Corrected Data: Pre-EPU I I I I I , ,i a I I i Ii I

I I

i I I

I I

10 _...........................I...........I..........I-----

i i

.i 5

En 0 III mninminiEwIMIMEIIEmwEJiu1uEEa1IKvu I

-5 a)

-4 XfN1v#-E, !g'IFMll'qlliE*velp ,,,1S, rgpP,,1tl

-10' _ ...........................................

, l . . . . .

I I ,

-15 I . I I I I N/ ) 2 4 6 8 10 12 14 16 Time (sec)

$-4 Venturi B Corrected Data: Pre-EPU Pq 6

. ' I I 5 II 4

3 2

.1. St I I.

• I IlL l 1

A 0 50 100 150 200 Frequency (Hz)

Figure B.lb. Pre-EPU pressure time history and PSD corrected for the B venturi instrument line length.

49

Venturi C Corrected Data: Pre-EPU 8-6-

._ 4 t en .

_ 2.

so4 ve Mo O0

-2 0 2 4 6 8 10 12 14 16 Time (sec)

Venturi C Corrected Data: Pre-EPU 0.3 . . . . . . . . . . . . . . . . . .

0.25

... ........ n----

---

s 0.2

........ I_'-______ . - -. - - - - - - - - - - - - - - - - - - - - - - -'

srn P._

0.15 0.1 -il----- __.J.........

0.05' I

Us0 50 100 - . 1502 200

.Frequency (Hz)

FigureB.1c. Pre-EPU pressure time history and PSD corrected for the C venturi instrument line length.

50

Venturi D Corrected Data: Pre-EPU 10 C.

5 0

v)

$sO

. co PvS

-5

-10 0 2 4 6 8 10 12 14 16 Time (sec)

Venturi D Corrected Data: Pre-EPU 2

1.5 Cl, I P.4 0.5 0

0 50 100 150 200 Frequency (Hz)

Figure B. Id. Pre-EPU pressure time history and PSD corrected for the D venturi instrument line length.

51

N13A Corrected Data: Pre-EPU 2

1.5 - --------------. - - ,- - . . . .. _

1

- i ade,a a a

0) 0.5

• 0 0)

-0.5

-1ll~~~ ~~~ I;11 l-1 1 5!11- lll~llll0 -

-1

-1.5 , ,. , . .. . .. . --------------------- ..... . I. ....... ...

-2 0 2 4 6 8 10 12 14 16 Time (sec)

NI3A Corrected Data: Pre-EPU 0.16 I , ,

0.14

,0.12 F i gEu P re -..p rr e s s u r e t ,e m h -o-r - ----

a-n-- - -- cr -----------

r et-- -_o t h e N_-A- r e f e r Nlc 0.1 _ .. .. .. .,,.. .. .,,,,,,,,... _.... . ...................................

0.08 CD 0.06 c/-4 0.04 ----''''''''''''''' ''''''''''''''''- ---'

0.02 -----------.--------. ---- ---- --------------------- -- --- ;- -------- ----------

0 Aj t UI li J1 . L.I k i

0 50 , ' 100 . 150 200 Frequency (Hz)

Figure B.le. Pre-EPU pressure time history and PSD corrected for the N13A reference leg line length.

52

N13B Corrected Data: Pre-EPU 1

0.5

. -4d M

C/) 0 0s

-0.5

-1 0 2 4 6 8 10 12 14 16 Time (sec)

N13B Corrected Data: Pre-EPU 0.035 . . .. .. . . . . . . . l 0.03 0.025 ---- - -- - -- -- - -- - -- - -- -- - -- - -- -- - -- - -- - -- -- - -- - ----------

• - 0.02 H 7 n._ 0.015 0.01 P-I 0.005 [;  ; ;;L L ak; A;; ;i;..

A 0 50 100 150 2200 Frequency (Hz)

Figure B.lf. Pre-EPU pressure time history and PSD corrected for the Nl3B reference leg line length.

53

Venturi A Corrected Data: EPU 8

6 4

0 2 0

0a)

(n -2 En

-4

-6

-8 0 2 4 6 8 10 12 14 16 Time (sec)

Venturi A Corrected Data: EPU 1.2 1

as 0.8 0.6 AL4 12 0.4 U:

0.2 nv 0 50 100 l 150 2200 Frequency (Hz)

Figure B.2a. EPU pressure time history and PSD corrected for the A venturi instrument line length.

54

Venturi B Corrected Data: EPU 10

• -4 5

C).

0 a.

-5

-10 0 2 4 6 8 10 12 14 16 Time (sec)

Venturi B Corrected Data: EPU

. . .. .. . . . . . . . l 1 . .

........................... I.............

0.8 N .

0.6 i.i -

P--

0.4 ................................ ...............

0.2 --- - ------ I- ------------ -

0 I,,

I ;i JU~s __F__ i_. ..... . . . . . . .

0 50 100 150 200 Frequency (Hz)

Figure B.2b. EPU pressure time history and PSD corrected for the B venturi instrument line length.

55

Venturi C Corrected Data: EPU 8

6 4

CA 2

0 a) -2 4* -4

-6

-8 2 4 6 8 10 12 14 16 Time (sec) u:s wa 0

Venturi C Corrected Data: EPU 0.8 0.7 - .. I - ..............

0.6 0.5 0.4 . . 1.. ''''''- ------ _-X 0.3 N1-1l t ...................... ------------------- ' ..............

0.2 tttel; rt 1- --- -------------- ------------------

0.1 0

0 50 o100. 150 200 Frequency (Hz)

Figure B.2c. EPU pressure time history and PSD corrected for the C venturi instrument line length.

56

Venturi D Corrected Data: EPU 10

._W-5 0

. En En

-5

-10 0 2 4 6 -8 10 12 14 16 Time (see)

Venturi D Corrected Data: EPU 0.8 0.7 _ -- - --- -- -- ------------------- ------------- ----- --- -- -- --- ----

0.6 0.5 - -__

C142 0.4 0.3 Cr. - .................... .,.-.'.''''.'.',''.'''.'.".'.'''.-

0.2 - -I 0.1 A

050 100 150 200 p4 Frequency (Hz)

Figure B.2d. EPU pressure time history and PSD corrected for the D venturi instrument line length.

57

N13A Corrected Data: EPU 2

0.506 0

-0.5

-1.5. .. . . . ..I - - - - - - - -

0 2 4 6 8 10 12 14 16 Time (see)

N13A Corrected Data: EPU 0.06 0.04 0.03.------ ......... ................. ' ........

0.02 0.01 - - - - - - - - - --. .. . . . . . .

0 50 100 150 200 Frequency (Hz)

Figure B.2e. EPU pressure time history and PSD corrected for the Nl3A reference leg line length.

58

N13B Corrected Data: EPU 1

0.5

-o 0

En .0 so CD2 -0.5 0

V) a-n

-1

-1.5 0 2 4 6 8 10 12 14 16 Time (sec)

N13B Corrected Data: EPU 0.05 0.04 . .-- - -- - - .......... .......... .... .. -- - - - - - - - - - -- - - - -- - - - -

N CA 0.03

. ...... ........  ;... -- ..- ;o.. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

0.02 -- -- - -- - -- -- - -- - -- -- - -- - -- -- - -- - -- -- - -- - -- -- --..-- -

V) 0.01 A - l 0 50 100 150 2W00 Frequency (Hz)

Figure B.2f. EPU pressure time history and PSD corrected for the N13B reference leg line length.

59

Table B.2. Summary of DR2 Line Lengths [10]

Main steam line lengths from steam dome to venturi instrument lines:

A: 81.17 ft B: 92.19 R C: 92.69 ft 81.04 ft Venturi Instrument Line Lengths:

1 inch Diameter -1 inch Diameter - l/2 inch Diameter -Rack to - ----

Steam Leg (ft) Water Leg (ft) Water Leg (ft) Transducer (ft)

A: 3.17 77.42 98.33 10.0 B: 2.25 83.95 104.44 10.0 C: 1.83 63.30 110.46 10.0 D: 3.75 67.42 104.04 10.0 Turbine Instrument Line Lengths:

3/4inch Diameter l2inch Diameter Rack to Water Leg (ft) Water Leg (ft) Transducer (fit)

A: 1.17 157.86 4.0 B: 1.17 162.13 4.0 C: 1.17 145.77 4.0 D: 1.17 150.74 4.0 Reference Leg Instrument Line Lengths:

1 inch Diameter 1 inch Diameter l2 inch Diameter Rack to Steam Leg (ft) Water Leg (ft) Water Leg (ft) Transducer (ft)

N13A: 7.06 20.43 96.64 10.0 N13B: 7.43 22.00 63.98 10.0 60

8.76'2.5' 35.1V To line B VI a Venturi Instrumentation D - I"s Ti = Turbine Instrumentation C D020" VI , _ L a 24.71' D= 30" L= 6.66' D 30"

. ., . , 1 _ 0I 4 L a 61.86' .  ;. I . . L53.82' L 0.69. 9:72 . 0 20" SRVPORV 1" 1.5" L - 243 La79.19 PORV I L 23.566' 0-30" D=21" L *' L 6' 4.25' 4.4' 1 33.96' D- I V L 23.63' D 24 '

D: 20' DO t~~~~~ SV \ l{ w85/p~."L31' l L52.32' 0.23' Du 30" L -9.97' D 0 24" Tl

\ 58/ PORSV 4 ' a31 L = 23.56' L = 73.36' t D- 30' D-21" L a6' t ~-

110 1 70v Z758' D- 30"

/ . \ 7.6r 32.93' L = 9.97' 0= 24" T71I Lu 23.66- L u 94.36' VI / 3.3 D -24'0; j3 PORVSRV I- 2 L - 3.16' PORV . 1.5" D-30 D021" L a6' L 6' 7.34' D - 24" D30' 4.6 II5 7*idIIIIbi 36.85' I L a 23.56' Ti Da20"

0. _-

D a 20" I L=24.72' Da 024" 0.69 I L-112.81' B L - 49.9' 1"I L a 53.82' D30"Lu6.66 SPOAV  : P20V L=3.16' D=18" SiIV SRV To line CY Lu 67.r Figure B.3. Geometry used in the acoustic circuit analysis for DR2.

61

1.4 1.2 a) *-

1 c7 a) 0.8 En S) ;-4 so 0.6 (1e so4 0.4 0.2 0

0 20 40 60 80 100 120 1'440 Node Number 0.35 -

• -I 0.3 Pre-EPU ca)- 0.25 f f .f \.~f a) 0.2

-4 cE P-S-4 .

0.15 0.15

-^- . ......

I  :-  :

, ,. ,L.

- F-----e----------- ------------ ------------ A--------- -1 -

0.05 0.1 A,,,IW, -->----------- ---------- A-------- ---- -- '---- --

0 20 40 60 80 100 120 1' 40 Node Number Figure B.4. Pre-EPU and EPU loads as developed by the current methodology to 100 Hz.

62

Upper A Strain Gage Data: Pre-EPU 4

3 2

En

-4 .1 a) :s 0

-1 a) sM

-2

-3

-4 0 1 2 3 4 5 6 7 .8 Time (sec)

Upper A Strain Gage Data: Pre-EPU 0.3 0.25 0.2

_.. ...... ..... ...... . . . --.------ o.

vt1

_/. 0.15 q". ........ ....... ....... ....... .

0.1 0.05 A

o 50 ioo 150 2O0 Frequency (Hz)

Figure B.5a. Pre-EPU pressure time history and PSD for the A main steam line strain gage closer to the reactor vessel.

63

Lower A Strain Gage Data: Pre-EPU 4

3 2

En 1

a) 0

-1 0..,

-2

-3

-4 0 1 2 3 4 5 6 7 8 Time (sec)

Lower A Strain Gage Data: Pre-EPU 0.25 0.2 N

0.15 -------- -,----- ............ ------------ -----------

0.1

---

-- ------ --------------------- -------- :--------------I--------------------

0.05 0

0 50

• 100 150 200 Frequency (Hz)

Figure B.5b. Pre-EPU pressure time history and PSD for the A main steam line strain gage farther from the reactor vessel.

64

Upper B Strain Gage Data: Pre-EPU 3

2 I

"a 0

ci:

-1

-2

-3 0 1 2 3 4 5 6 7 8 Time (sec)

-4 q

Upper B Strain Gage Data: Pre-EPU P4 0.12 0.1 _ - - - - - - ---------------

N 0.08 . .............. .. . ............................................

0.06 rIn 0.04 _____._.__._._F... . ... ... - -- - - - - - - - - - - - - .................... ''''['J'''''-'''-

0.02 A

V 0 50 100 150 200 Frequency (Hz)

Figure B.5c. Pre-EPU pressure time history and PSD for the B main steam line strain gage closer to the reactor vessel.

65

Lower B Strain Gage Data: Pre-EPU 6

4 e -N

._R 2

0) 0 S-4 a) -2

-4

-4

-6 0 1 2 3 4 5 6 7 8 Time (sec)

Lower B Strain Gage Data: Pre-EPU 0.6 0.5 N ,,1.I.1 0.4 ... I i ,............................ I..

Cn 0.3

-4 0.2 _____ __ ...._____j_......'...._________._.____._______.___.__------___.___..___________-

0.1 A

---

c -------- ------ ---

0 50 100 150 2200 Frequency (Hz)

Figure B.5d. Pre-EPU pressure time history and PSD for the B main steam line strain gage farther from the reactor vessel.

66

Upper C Strain Gage Data: Pre-EPU 2

1.5 1

0.5 us co2 V-)

i2s 0

sv -0.5

-1

-1.5

-2 0 1 2 3 4 5 6 7 8 Time (sec)

Upper C Strain Gage Data: Pre-EPU 0.05 1 , i , j , , , I I 0.04 0.03 _ . ... . . - -- - -- - -- - -- - - -- - -- - -- - - -- - -- - -- - - -- - - - - -- - -

Cr2 0.02 .L .a . aL 0.01 0

0 50 100 150 200 Frequency (Hz)

Figure B.5e. Pre-EPU pressure time history and PSD for the C main steam line strain gage closer to the reactor vessel.

67

Lower C Strain Gage Data: Pre-EPU 3

2 I

Cn CL 0

a._

sO U-4 v=

-1 Cn

-2

-3

-4 0 1 2 3 4 5 6 7 8 Time (see)

Lower C Strain Gage Data: Pre-EPU 0.1 I T I T .I I r T  ! I

• I T r 1r I 0.08 _. ... ..._;........... . ....................... _

NR ti- 0.06 0.04 0.02 0

0 50 ' 100 150 200 Frequency (Hz)

Figure B.5f. Pre-EPU pressure time history and PSD for the C main steam line strain gage farther from the reactor vessel.

68

Upper D Strain Gage Data: Pre-EPU 4

3 2

• -7

._ 1 0

rin

so -1

-2

-3

-4 D 1 2 3 4 5 6 7 8 Time (sec)

Upper D Strain Gage Data: Pre-EPU 0.35 0.3 0.25 0.2

. v 0.15 . . .. .. . .. . . .. ,,,,

C., 0.1 0.05 A

,-A 4- A 0 50 100 150 200 Frequency (Hz)

Figure B.5g. Pre-EPU pressure time history and PSD for the D main steam line strain gage closer to the reactor vessel.

69

Lower D Strain Gage Data: Pre-EPU 6

4

• -I En 2 0as 0

0 -2 PLI

-4

-6 0 1 2 3 4 5 6 7 8 Time (see)

-Lower D Strain Gage Data: Pre-EPU 0.2 I .. . . . . . . . . . . . . . . . . .

. ....... I... . .. . . .... ; ... I ........... I........;

N 0.15 .. . . .

I is rn 0.1 - .-- ..j--, - -- - -- - -- -

CL

. I.

0.05 and PSD for the D main steam line strain

' .1 I... - . _ ..1 __. . _ L.

_. _1 I wtn E 0 Figure B.5h. pressure history timePre-EPU 0 50 " 100 150 200 Frequency (Hz)

Figure B.5h. Pre-EPU pressure time history and PSD for the D main steam line strain gage farther from the reactor vessel.

70

Upper A Strain Gage Data: EPU 4

3 2

1 0 0 C,,

En Cu -1 ci)

$s-

-2

-4 0 1 2 3 4 5 6 7 8 Time (sec)

Upper A Strain Gage Data: EPU 0.2 I 0.15 As Cti CA/r 0.1 0.05 0

0 50 100 150 200 Frequency (Hz)

Figure B.6a. EPU pressure time history and PSD for the A main steam line strain gage closer to the reactor vessel.

71

Lower A Strain Gage Data: EPU 6

4

$._ 2 0

v) v)

En -2

-4

-6 0 1 2 3 4 5 6 7 8 Time (see)

Lower A Strain Gage Data: EPU 0.2 .. . ..... I . . I . . . .- -

N 0.15

.-o 0.1 C12 0.05 0

0

- . i I.

. .J..

IU .. I.

50

.......... I......

' 100*

150 200 Frequency (Hz)

Figure B.6b. EPU pressure time history and PSD for the A main steam line strain gage farther from the reactor vessel.

72

Upper B Strain Gage Data: EPU 4-3-

2 1

C/2 0

-1 a)

-2

-3

-4 0 1 2 3 4 5 6 7 8 N Time (sec) sl En Upper B Strain Gage Data: EPU 0.16 0.14 _.. .. . . ........ -- - - - - -- - - - - -- - - - - - - - - - - - - - -- - - -_

0.12 0.1 ~~~-------------- ,,

• S-C#

0.08 0.06 -,--------- ~~~.. .............. ... ............ ... ................ ...

0.04 _.~~~~~~~~~~~~L ... , A .... ...... .... ............... ...... .... .......

0.02 0

0 50 100 150 200 Frequency (Hz)

Figure B.6c. EPU pressure time history and PSD for the B main steam line strain gage closer to the reactor vessel.

73

Lower B Strain Gage Data: EPU 6

4

• -4 2

.)

v)--

En A/ 0

&s-vW -2 co au

s- -4

-6

-8 0 1 2 3 4 5 6 7 8 Time (sec)

Lower B Strain Gage Data: EPU I

_ - - - - - - - - - - - -I - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

0.8 _ - - - - - - - - - - -- - - - - - - - - - - . . . . . . . . . . - - - - - - - - - -

0.6 0.4 _ . , , .I C) 0.2 0

0 50 * ' 100 150 200 Frequency (Hz)

Figure B.6d. EPU pressure time history. and PSD for the B main steam line strain gage farther from the reactor vessel.

74

Upper C Strain Gage Data: EPU 3

2 . .........

2 . ........ . .

-3 0 1 2 3 4 5 6 7 8 Time (sec)

Upper C Strain Gage Data: EPU 0.06 0.0 5 _.-....*.......*...--.-------*

t 0.0 4 .. ...............................

> 0.04 0.02 0.01 0 0 - '-- i '--------------- '-'---------- '-- _------------

0j 0 50. 100 150 200 Frequency (Hz)

Figure B.6e. EPU pressure time history and PSD for the C main steam line strain gage closer to the reactor vessel.

75

Lower C Strain Gage Data: EPU 4

3

-4 2

1 C#2 0

au Ci2 -1 0)

-2

-3

-4 0 1 2 3 4 5 6 7 8 Time (sec)

Lower C Strain Gage Data: EPU 0.14 - I 'I I I 1 ' T

• 0.12 N

0.1 I

_.. ... ..----------- I ----------------------- ....................

Ld-----------

C~10

_/,I 0.08 0.06

-4 ____.. ... ...... ---------------------- --------------------- -------------------

0.04 0.02 --f-1 n

50 100 l 150' 200 Frequency (Hz)

Figure B.6f. EPU pressure time history and PSD for the C main steam line strain gage farther from the reactor vessel.

76

Upper D Strain Gage Data: EPU

-6 4

"0

• -4 2

0 U1) cjv

$C12 -2

-4

-6 0 1 2 3 4 5 6 7 8 Time (see)

Upper D Strain Gage Data: EPU 0.7

- -I--

0.6 N

0.5

-o

-4 0.4 0.3 - ---------- ---- --

0.2 0.1 A

U 0 50 100 150 2200 Frequency (Hz)

Figure B.6g. EPU pressure time history and PSD for the D main steam line strain gage closer to the reactor vessel.

77

Lower D Strain Gage Data: EPU 6-4-

2 C) 0 ca.

S-4

-2

-4

-6 0 1 2 3 4 5 6 7 8 Time (sec)

Lower D Strain Gage Data: EPU 0.6 I f. III i 0.5 N

0.4 (12 0.3 ----------- . ...... ..

cr24 0.2 . . .. . . . . . .. . . .... . .. . . . . -- - - - -.. ......

0.1 -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- -

A l~~ IALio 0 50 ~100 10. 200 Frequency (Hz)

Figure B.6h. EPU pressure time history. and PSD for the D main steam line strain gage farther from the reactor vessel.

78

0.8 . . . . . . . . . . . . . . . . . . . . . . . .

"- 4

• - 0.7 .

Pre-EPU 0.6 .._--- - -- -r--- --- -- --------------- ------------- E PU * *--- r------ -

40 ~ cL

.pco .-

0.5 0.4

- ~~._._

. - ~' ............

. -- --- -- -- _,.-I____________J_-___

........ __L___.

0.3 __ ........ __

aE v 0.2 0.1 0

i' 20 40 60 80 100 120 140 rv:

a)

V)

C Node Number 0.14 0.12 ___- ------- ------------------- ______,______.-.- -- --- -----

Pre-EPU 0.1 - ............ -- EPU £-.

(1) 0.08 - ---,--------------

1 - ... . . . . .----------- i--------------- ............ .............._

&-4 En 0.06 U) :1J 11',,. I 0.04 0.02 .E.1;....... t .... ....... -----------

A 0 20 40 . 60 80 100 120 140 Node Number Figure B.7. Pre-EPU and EPU loads as developed by utilizing strain gage data from 0 to 200 Hz.

79

X. Appendix C Revised Hydrodynamic Loads on Dresden 3 Steam Dryer The development of the hydrodynamic loads on the Dresden 3 (DR3) steam dryer follows the same procedure as for QC2. Since the steam dome and steam dryers are identical, the Helmholtz solution for QC2 can be used for DR3 as well. The DR3 data sets are summarized in Table C. 1. Note that the first data sets contained the discretization error in the water reference leg measurements. Thus, several additional data sets were taken (data sets 07 through 11) with more accurate water reference leg pressure transducer measurements. The resulting pressure time histories and PSDs are shown in Figures C. 1 and C.2 for data -sets and 07, respectively. - -

The DR3 line lengths are summarized in Table C.2 and, in many cases, are similar to the QC2 line lengths (a schematic is shown in Figure C.3). The modeling constant developed for QC2 in the acoustic circuit analysis is applied to DR3, as Dresden 3 did not record strain gage data for data sets 07 through 11. The dryer loads for pre-EPU and EPU conditions at DR3, to 100 Hz, are shown in Figure C.4.

DR3 data were separately collected at eight strain gages (data set 13), similar to DR2, installed on the four main steam lines. Unfortunately, three of these strain gages failed during data collection. However, since CDI's loads scaling methodology is linear, if the measured loads in the steam lines are increased by 10%, the differential pressure loads across the steam dryer will increase by 10% as well. This linearity permits scaling between plants provided that:

a. the plants are geometrically similar, and

b. at common locations between plants, the measured pressure time histories are similar.

DR2 and DR3 are nearly mirror images of each other. Thus, the following relationship applies between the main steam lines:

Dresden 2 MSL Dresden 3 MSL A => D B => C C => B D *A Strain gage locations are denoted with a superscript "+" for the location closer to the reactor vessel (such as A+) and "-" for the location farther from the reactor vessel (such as A). To check similarity, the following strain gage data from DR2 should be compared with DR3 data at equal megawatt thermal power (in this case, EPU):

80

Dresden 2 (2R34 MWt) Dresden 3 (2839 MWt)

MSL PRMS (psid) MSL PRNIS (psid)

A+ 1.01 1.45 A-. 1.10 D (no data)

B+ 0.93 C+ (no data)

Bi 1.50 C 1.34 C+ 0.62 B+ 1.67 C 0.94 B (no data)

D+ 1.21 A+ 1.36 D- 1.36 A 1.30 Figures C.5 give the pressures and PSDs for DR3: upper D (Figure C.5a), lower C (Figure C.5b), upper B (Figure C.5c), upper A (Figure C.5d), and lower A (Figure C.5e),

to be compared with previous figures for DR2: upper A (Figure B.6a), lower B (Figure B.6d), upper C (Figure B.6e), upper D (Figure B.6g), and lower D (Figure B.6h),

respectively.

Scaling of loads strictly requires that the time histories differ only in amplitude.

To check this assumption, the PSDs are plotted in Figure C.6 for DR2 (in red), with corresponding PSDs for DR3 (in black), to aid in the comparison. Note that the comparison between DR2 D- and DR3 A- shows a strong correlation. In fact, multiplying the amplitude of the PSD for the DR3 A- data by about 1.09 would result in the RMS pressures being equal. Based on this data set alone, it could be argued that the DR3 dryer load is expected to be about 5% higher than the DR2 dryer load at EPU conditions.

The remaining comparisons are not as favorable. The average RMS pressure for the five locations on DR3 is about 30% higher than the average RMS pressure for the corresponding DR2 locations. Therefore, the scaling here suggests that the DR3 loads are approximately 30% higher than the DR2 loads at EPU conditions. Concluding that DR3 loads are higher than DR2 is justified, but quantification has some uncertainty.

81

Table C.1. Summary of DR3 Data Sets Used in the Analysis.

Data Feed Flow Date/Time Data Rate Description Set (106 lbs/hr) (samples/sec) 03 11.65 05/12 15:00 500 (EPU) 05 11.43 04/16 13:06 500 (EPU) 07 11.60 06/04 15:23 - 500 (EPU) 10 10.92 05/29 00:15 500 2812 MWt 11 9.72 05/29 01:06 500 (Pre-EPU) 13 11.10 12/11 07:24 2000 (EPU) 82

Venturi A Corrected Data: Pre-EPU 5

._P-rn "0-4 0

a) cn a) o 2 4 6 8 10 12 14 16 Time (sec)

Venturi A Corrected Data: Pre-EPU 0.5 0.4 "0-C 0.3 es -

X - __

0.2 1 - .. . . ... .5.... .

0.1 0

0 50 100 150 200 Frequency (Hz)

Figure C.la. Pre-EPU pressure time history and PSD corrected for the A venturi instrument line length.

83

Venturi B Corrected Data: Pre-EPU 10 5

CA Ci) 0 v) co Us4

-5

-10 0 2 4 6 8 10 12 14 16 Time (sec)

Venturi B Corrected Data: Pre-EPU 0.6 , III

,,, I, , I, 0.5 ------------------ ----- , --------.-----------------------

0.4

.. .. '- -,. - - -.-- - -l - - - -

n._ 0.3 cQ I,.

0.2 0.1 A

0 50 . ' 100 150 -- 200 0 Frequency (Hz)

Figure C.lb. Pre-EPU pressure time history and PSD corrected for the B venturi instrument line length.

84

Venturi C Corrected Data: Pre-EPU 6

__4 -------- -.------- i-.-.

- ---- --------- a----------- ----------

2 0)0

-4 0 2 4 6 8 10 12 14 16 Time (sec)

Venturi C Corrected Data: Pre-EPU 0.3 . .

e0.25 0.25........ . . ..--------

0.15.

0... .. . .. .. . .. .. . .. .. . .-- ----- --------------- ----.-

0.1.-----

. ..... i lb

.. .. ..... i oli....

0.05 . .- - - - - - - - - - - - - - - -- - - - - - - - - -

0 0 50 100 150 200 Frequency (Hz)

Figure C. 1c. Pre-EPU pressure time history and PSD corrected for the C venturi instrument line length.

85

Venturi D Corrected Data: Pre-EPU

0) I S-4

-4 0 2 4 6 8 10 12 14 16 Time (see)

Venturi D Corrected Data: Pre-EPU 0.3 0.25 --------------------------- ', ----- --.

e 0.2 - -- ......

0.05 i n s , I ; I I 0

0 50 100 150 200 Frequency (Hz)

Figure C.ld. Pre-EPU pressure time history and PSD corrected for the D venturi instrument line length.

86

N13A Corrected Data: Pre-EPU

'2 2 h - jlil il

. -4 0 0 0

U4 -1 P-I\ I~ I? I' I I1 , r 11, 11

, ,II I I I I I I I I i I I I o 2 4 6 8 10 12 14 16 Time (sec)

N13A Corrected Data: Pre-EPU 10 8

,,,,,..1..1.

6

(-

r-)

4 2 ---- -------------- I I- .------------------------ . _

I I I 0

0 50 100 150 200 Frequency (Hz)

Figure C. I e. Pre-EPU pressure time history and PSD corrected for the NI3A reference leg line length.

87

N13B Corrected Data: Pre-EPU 0.6 0.4 0.2 (n

(U a) v)

-0.2 1fI so-

-0.4

-0.6 :

2 4 6 8 10 12 14 16 Time (sec)

NI 3B Corrected Data: Pre-EPU 0.003 0.0025 N

0.002 C/ 0.0015 C14 a) 0.001 0.0005 0

0 50 . 100 150 200 Frequency (Hz)

Figure C.lf. Pre-EPU pressure time history and PSD corrected for the N13B reference leg line length.

88

Venturi A Corrected Data: EPU 8

6 4

2 a) 0

i2

-2 a)

A- -4

-6

-8 0 2 4 6 8 10 12 14 16 Time (sec)

Venturi A Corrected Data: EPU 0.8 , , , , I ,. , . , . , I , ,. , I ,. .I. .

0.7 0.6

. ... .1 0.5 . .. ,.......................... . ----

C-0.4 0.3 CI) 0.2 0.1 0

0 X1 -,lLi 50

---

100

---

I----------

150 200 Frequency (Hz)

Figure C.2a. EPU pressure time history and PSD corrected for the A venturi instrument line length.

89

Venturi B Corrected Data: EPU 6

4. . .. . . .. . .. . . .. ..

4 . --------------------

0 C/22

-4 ..

-6 c 2I' 0 2 4 6 iii .....

8 ....--------------------

10 12 14 16 Time (sec) 04 ~ -2 . _

Venturi B Corrected Data: EPU 0.8 l o~~l j lo l d;2C ~--;-;-------------;----;-------;---;--;-;-

N0.6 --------

0.2-----

0.1 --------

o 0100 150 200 Frequency \(Huz)

Figure C.2b. EPU pressure time history and PSD corrected for the B venturi instrument line length.

90

Venturi C Corrected Data: EPU 6

4

• -4 2

Me C12 0 0)

-2 P-4

-4

-6 0 2 4 6 8 10 12 14 16 Time (sec)

Venturi C Corrected Data: EPU 2 I ~~ I I 1 l I I l I 1.5 .

_-.,.-.1-

. I.. . .. - - - - -- - - - -. - - -- - - - - - - --- - --- ----- ---- ----

As _ .......... . ............ . ----------. -----------

1 v)

Cn 0.5 0

0 50 100 150 200 Frequency (Hz)

Figure C.2c. EPU pressure time history and PSD corrected for the C venturi instrument line length.

91

Venturi D Corrected Data: EPU 6

4 "C1 2

0.

0 cje 0 -2 a)q

-4

-6 0 2 4 6 8 10 12 14 16 Time (sec)

Venturi D Corrected Data: EPU 1

N 0.6 .

0.6 - ........ ------------------------------------- - - - - - - - - - -- - - - - - - - - - -

0.4 ------- -----------------------.

CQ 0.2 i.

U 0 50 ' 100 150 200 Frequency (Hz)

Figure C.2d. EPU pressure time history and PSD corrected for the D venturi instrument line length.

92

NI3A Corrected Data: EPU 1.5 0 2 4 6 8 10 12 14 16 Time (sec)

Cr-, Ni 3A Corrected Data: EPU 0.05

01. L.

.. . . ...... tiL I *d 0.04 v - .. .

0.01 -' --- - - L 0 50 1 00 125 200 Frequency (lHz)

Figure C.2e. EPU pressure time history and PSD corrected for the Na3A reference leg line length.

93

N13B Corrected Data: EPU 0.8 0.6 0.4 U) 0.2 15 car 0

-0.2 -

0)

$5-4

-0.4

-0.6 _

-0.8 -

0 2 4 6 8 10 12 14 16 Time (sec) ca) rA N13B Corrected Data: EPU 0.008 T . - - - - - - - - - - I. . . . . . . . . . . . . . . .

0.007 0.006 N.. 0.005 0.004 - - - -- - -- - - - - - - ---

f:-

,~ . , _

0.003 0.002 _.......... . . . . .

0.001 A r V

v10 500 100 0 150 200 0 Frequency (Hz)

Figure C.2f. EPU pressure time history and PSD corrected for the N13B reference leg line length.

94

Table C.2. Summary of DR3 Line Lengths [11]

Main steam line lengths from steam dome to venturi instrument lines:

A: 81.06 ft B: 92.29 ft C: 92.83 ft

. .1 D: 80.98 ft Venturi Instrument Line Lengths:

inch Diameter--l-inch-Diameter-- /2 inch-Diameter --- Rack-to-Steam Leg (ft) Water Leg (ft) Water Leg (ft) Transducer (ft)

A: 2.33 104.46 79.29 10.0 B: 2.45 98.43 85.66 10.0 C: 2.45 67.87 97.05 10.0 D: 2.33 72.38 101.03 10.0 Turbine Instrument Line Lengths:

3/4 inch Diameter l/2 inch Diameter Rack to Water Leg (ft) Water Leg (ft) Transducer (ft)

A: 1.88 168.48 4.0 B: 1.88 163.21 4.0 C: 1.88 180.09 4.0 1.88 174.26 4.0 Reference Leg Instrument Line Lengths:

1 inch Diameter 1 inch Diameter l/2 inch Diameter Rack to Steam Leg (ft) Water Leg (ft) Water Leg (ft) Transducer (ft)

N13A: 8.19 19.02 95.63 10.0-N13B: 9.70 18.24 127.28 10.0 95

Figure C.3. Geometry used in the acoustic circuit analysis for DR3.

96

1.2 03 1 - ------- Pre-EPU l -----.. . . ---.---

EPU I:P f cn 0.8

$-4 n 0.6

• Z 0.4 S4 cg 0.2 1- ----- ..... ..

O 0

20 40 60 80 100 120 140 Node Number 0.3 Pre-EPU ------

. - 0.25 ------- '----- --------

'-----------l r--EPU-------'--- - --- '-- ---

En EPU 0 0.2 ut I- -------------------------------- ------- -------- I 0.15 0

sv~

0.1 CQ

- ------- -- J - - 1 0.05 n I a<-i I 0 20 40 60 80 100 120 140 Node Number Figure C.4. Pre-EPU and EPU loads as developed by the current methodology to 100 Hz.

97

Upper D Strain Gage Data: EPU 8

6

-o

• -4 4 2

15 0l

a) 0

-2

-4

-6 0 1 2 3 4 5 6 7 8 Time (sec)

Upper D Strain Gage Data: EPU 0.25I

... .. I . . ...... . I I

....... _. .. _ .. I I I I 0.2 I  : .  :  :

N 0.15 .. . .. . .. . .. . . .. . .... .. . ..........

C/I 0.1 , ........... . ......................... . . . . . . . . . . . . . . . . . . .. . . . . . ....... ... - -.-.-.....- - - - - - - - - - -_

C/f) II 0.05 . '. '-------- ........

0

- .1 k4jhi I Ih^ - II .f . . I. . 11 .

0 50 ' 100 150 200 Frequency (Hz)

Figure C.5a. EPU pressure time history and PSD for the D main steam line strain gage closer to the DR3 reactor vessel, to be compared against Figure B.5a for the A main steam line strain gage closer to the DR2 reactor vessel.

98

Lower C Strain Gage Data: EPU 6-4 n-2 ci) 0

$-4 CQ2

0) -2

-4

-6 L 0 1 2 3 4 5 6 7 8 Time (sec)

Lower C Strain Gage' Data: EPU 0.7 0.6 N

0.5 __ r........... . . .. . . . .. . . . .. . . . - - - - e-- ----------- ---- -- -- -- -- -- - ---

0.4 cn _- - - - - - - - - - 4......... ......................... -- - - - -- - - - - - - -_

0.3 V,E 0.2 -

P-4 IA I4 0.1 A

0 50 100 150 200 Frequency (Hz)

Figure C.5b. EPU pressure time history and PSD for the C main steam line strain gage farther from the DR3 reactor vessel, to be compared against Figure B.5d for the B main steam line strain gage farther from the DR2 reactor vessel.

99

Upper B Strain Gage Data: EPU 8

6 4

C12 a) 2 Ci2 0 0) ce -2

-4

-6

-8 o 1 2 3 4 5 6 7 8 Time (sec) rAl Upper B Strain Gage Data: EPU 0.4 0.35 0.3 . .... . .. . . .. . .. . .. . ....... ...... . . . . . . . .... . . . .. . . . .

_/- 0.25 _ ____ ... ............. __. ...

vN 0.2

.1 --'- - .._ _...................

0.15 0.1

-~.t- - - - ------------ I ------------ - .---

0.05 0

0 50 I100 150 200 Frequency (Hz)

Figure C.5c. EPU pressure time history.and PSD for the B main steam line strain gage closer to the DR3 reactor vessel, to be compared against Figure B.5e for the C main steam line strain gage closer to the DR2 reactor vessel.

100

Upper A Strain Gage Data: EPU 6

4 E) 2 15 0

-2

-4

-6 0 1 2 3 4 5 6 7 8 Time (see)

Upper A Strain Gage Data: EPU 0.4 0.35 - ~~~................................---------- ,

0.3 ~~~~~~.

• - 0.25 0.2 0.15 0.1 Ir. ...

0.05 0

0 50 100 150 200 Frequency (Hz)

Figure C.5d. EPU pressure time history and PSD for the A main steam line strain gage closer to the DR3 reactor vessel, to be compared against Figure B.5g for the D main steam line strain gage closer to the DR2 reactor vessel.

101

Lower A Strain Gage Data: EPU 6

4 "Z-2 en 0 au I--

15-sM -2

-4

-6 0 1 2 3 4 5 6 7 8 Time (sec)

Lower A Strain Gage Data: EPU 0.5

---

- - - - - - -- - - -- - -, --- - - - - I - - - - - - - - - - - - , - - - - - - - - - - - -

0.4 - - - - - - - - - - - - - - - - - -. - - - - - - - - - - - - - - - - -

N 0.3

.. .................... .~~~~... . . . . . . . . .. . . . . . . . . .

Cn 0.2 AL4 r2) 0.1 OL 0I 50

• 100 150 200 Frequency (Hz)

Figure C.5e. EPU pressure time history-and PSD for the A main steam line strain gage farther from the DR3 reactor vessel, to be compared against Figure B.5h for the D main steam line strain gage farther from the DR2 reactor vessel.

102

Dresden 3 A+ (black); Dresden 2 D+ (red) 0.7 0.6 _... .. ,. .......---------........................ -- - - - - - - - - - - - - -

.1 N

0.5 AS CD4

• - 0.4 - -----------------------  : _ _. _-

0.3 0.2 f _ ._

0.1 A

0 50 100 150 200 Frequency (Hz)

CL2 Figure C.6a. PSD comparisons between DR2 D+and DR3 A+.

._4 CI)

Dresden 3 A- (black); Dresden 2 D- (red) 0.6 0.5 , . - .- -T N , ~~~~.. .. .. .. .. .. . ........... I--------------- ..

.tn1 0.4 N 0.3 0.2 .... . ....

. . J~h i. . i 0.1 A

U 0 50 100 150 200 Frequency (Hz)

Figure C.6b. PSD comparisons between DR2 D- and DR3 A'.

103

Dresden 3 B+ (black); Dresden 2 C+ (red) 0.4 0.35 0.3 IRI CtN

• -4 0.25

- .. V... ...0-- .. .. ........ 1 ------

0.2 cf) 0.15 --------- --------- ------------- 'j- '---- ' -

0.1 0.05 ---------------------------- ---- ---- ----

A O. 50 100 150 200 Frequency (Hz)

Figure C.6c. PSD comparisons between DR2 C+and DR3 B+.

Dresden 3 C- (black); Dresden 2 B- (red) 1 . .. . . . . . . . . . . . . . .

0.8 N

Z

-_ 0.6 . ........ .. .. . .. . . .. ---- --- .... . . . . . . . .

"/CT, 0.4 ... ....... ...:---------- - - - - - -- - - - - - - -- - - --- - -- - - - - - -

.. . i _

0.2 . L 0

0 50 100 150 200 Frequency (Hz)

Figure C.6d. PSD comparisons between DR2 B- and DR3 C.

104.

Dresden 3 D+ (black); Dresden 2 A+ (red) 0.25 I' ' - ' ' '  ! '

0.2 _------- ... ., 7. _

N 0.15

• -I CI.

rU) 0#/

0.1 .... ............... ...........

a-)

0.05 U

0 11fie 50 100 150 200 Frequency (Hz)

Figure C.6e. PSD comparisons between DR2 A+and DR3 DW.

105

XI. Appendix D Summary Comparison of Steam Dryer Loads Figure D.1 describes the maximum differential pressure predicted across the A-B and C-D sides of the steam dryers in QC2, DR2, and DR3, as a function of feed flow, to 100 Hz. All of the predictions use the high resolution measurement system on the reference legs.

The DR2 dryer loads can be further compared against the composite QC2 dryer loads to 200 Hz. This load combines the predicted load to 100 Hz (from the four venturi and two water reference leg pressure time histories) with the load from 100 Hz to 200 Hz predicted by imposing the single strain gage results (on the B MSL) onto the other three MSLs, at the B strain gage location (52.20 ft from the reactor vessel).

Power Level (MWt) Main Steam Line Peak B MSL Strain B MSL RMS Strain Flow Rate Gage Pressure Gage Pressure (Mlbs/hr) (psid) (psid) 2510 (Pre-EPU) 9.92 13.94 4.37 2854 (EPU) 11.24 22.77 4.73 This load, at the same nodes as for DR2, was shown in Figure 5.5. It may be seen by comparison with Figure B.7 that the QC2 loads are significantly higher for similar power levels. This effect is emphasized in the load comparison plot shown in Figure D.2, where the maximum differential pressures are plotted as a function of power level. It should be noted that DR2 dryer loads to 200 Hz, computed from strain gage measurements, are approximately a factor of two lower than those which use venturi data.

This difference is believed to be attributed to conservatism that was introduced when correcting venturi instrument line data. If this scaling holds for QC2 loads as well, QC2 dryer loads are still greater than DR2 dryer loads by at least a factor of two for the feed flow rates analyzed here.

106

- QC2: A-B Side

- QC2: C-D Side 4 - DR2: A-B Side ' ' '

35 3.5---DR2: C-D Side. --------------.--------------- -

-- DR3: A-B Side 3 _-t--DR3: C-D Side ------------.----------------

• > . ------ -------------- -;--- ------t---- -------------t---- -------------

2.5 - j --------------.

.1 5 --- - -- ---- --- ---------

O _I I i1 j a1 9.5 10 10.5 11 11.5 12 Feed Flow (Mlbs/hr)

Figure D. 1. Comparison of maximum pressure loads for Quad Cities 2, Dresden 2, and Dresden 3 by the current methodology to 100 Hz.

4 1 ._ *- v/ QC2: .. ..A-B Side Q

PA<_............

O2 .L ..........

QC2: C-DSide.

gi =, .* DR2: A-BSide.

Ss1. 0.5 0 .-----

2.-1--- --------- -- J

-DR ------2: C-D ---Side -----

rZ OR2 C Side ____

9.5 10o 10o.5 11 1 1.5 12 Fe ed ]Flow (M lb s/hr)

Figure D.2. Comparison of maximum differential pressure loads for Quad Cities 2 and Dresden 2 by the current methodology to 200 Hz, and by utilizing strain gage data from 0 to 200 Hz, respectively.

107