attachment 3, stp units 3 & 4 - flow induced vibration ...(frp/fst) = i a,b * this is close...

U7-C-NINA-NRC- 120026

Attachment 3

STP Units 3&4 - Flow Induced Vibration - Chapter 3.9(Non-Proprietary)

STP Units 3&4 - Flow Induced Vibration -Chapter 3.9 (Non-Proprietary)

Westinghouse Non-Proprietary Class 3

U7-C-NINA-NRC- 120026Attachment 3

WEC-NINA-2012-0025 NP-Enclosure

STP Units 3 & 4

Flow Induced VibrationChapter 3.9

March 2012

Westinghouse Electric Company1000 Westinghouse Drive

Cranberry Township, PA 16066

©2012 Westinghouse Electric Company LLCAll Rights Reserved

Westinghouse Non-Proprietary Class 3 W h oC© 2012 Westinghouse Electric Company LLC. All Rights Reserved.

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•! !:i:•. • i• I .!,SII LWestirnghouse Non-PrpretaryClass 3" Westinghouse Non Proprietary Class32Q12 Westinghou'se El L.AlRgt eevdLLC,. All Rights Reserved.

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NRC M.eeting

March 29, 2012

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Westinghouse Non-Proprietary Class 3 © 2012 Westinghouse Electric Company LLC. All Rights Reserved.

Agenda

" Introductions I Attendees" Desired outcomes

* Topics for Discussion- Pump Forcing Functions

* Outstanding Items- WCAP revisions, COLA revision (including ABAQUS)

* Wrap up, action items

Wefstinghouse

Westinghouse Non-Proprietary Class 3

Attendees

© 2012 Westinghouse Electric Company LLC. All Rights Reserved.

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NINA" Scott Head" Tom Daley

" John Price

Morgan Lewis* Al Gutterman

Westinghouse* Brad Maurer" Dick Schwirian* Bob Quinn

TANE* Dale Wuokko

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Desired Outcomes

• Address appropriateness of pump induced pulsation forcing •function amplitude

" Summarize WCAP revisions to incorporate changes basedon RAIs and audits

" Preview COLA changes- Address computer code list in COLA w.r.t ABAQUS- Incorporate WCAP references

* Agree on next step(s) and action items

Westinghouse5


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Pump Forcing Functions

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Pump Forcing Functions

" Discussion of approach using RJ-ABWR data- Basis for selection of analysis case- Results based on use of RJ-ABWR data

* Confirmation using pump testing done for a reference pump "

- Vertical single stage pump- Single pump tests removes variable of phasing- Summary of ABWR and reference pump characteristics- Use of pump affinity relationships for scaling- Results

- Comparison to RJ-ABWR based results C

" Conclusions

Westinghouse


RJ-ABWR Data Interpretation

Sa,b,c

* [ ]a~,b,cThis is consistent with open-open modes starting at the steam-water interface inthe downcomer and ending at the steam-water interface above the core exit, adistance L of approximately 80 feet. (First mode frequency f = C/2L =.5*3200/80 = 20 HZ).

* The mode shapes for these modes are axial. Therefore, they would be mostsensitive to excitation from axial gradients in pressure amplitude.

SPump phasing is not known.-[]a,b,c Given the axial nature of the >

dominant modes, an all-pumps-in-phase model was used as a reasonable basis •to estimate the forcing function amplitudes.

isWestinghouse

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Pump Forcing Function Estimation:RJ-ABWR Data Based

Step 1: A 1.0 psi forcing function is applied to all 10 pumps and used tocalculate the pressure amplitude Pcalc at the P6 location.

Step 2: The RJ-ABWR value at [ ]a,b,c (Pmeas) is substituted for the measuredamplitude at [

] a,b,c

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Step 3: The forcing function pressure amplitude Pff is then calculated from

- Pff = (Pmeas/Pcalc)*1.0 = (Pmeas/Pcalc)

Step 4: The Pff value from step 3 is then adjusted for the operating conditions(density and speed) to be analyzed. The results for normal, full flow operatingconditions are:

a,c- Pff-RJ(1 per revolution) =

- Pff-RJ (2 per revolution) =

- Pff-RJ (blade passing)

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Westinghouse Non-Proprietary Class 3 Q 2012 Westinghouse Electric Company LLC. All Rights Reserved.

Pump Forcing Function Estimation:Single Pump Test Based

" Pump forcing functions have been independentlydetermined from single pump scale model testing

" To determine full scale forcing functions from scale modeltest data, pump affinity relationships were used.

- In particular, the pump forcing functions were taken to beproportional to the dynamic pressure at the impeller tip.

- This is proportional to the product of fluid density and the square ofthe product of impeller diameter and shaft rotational speed.

" The same scaling approach can also be used to estimate ý4 >Zthe STP-3 pump forcing functions from the single pump testbased forcing functions

e Westinghouse 10


Pump Affinity Relationships

* Dimensional Analysis of pumps and fans yields the followingrelationship for head H as a function of volume flow Q,rotational frequency w, impeller diameter D, and Reynoldsnumber Re.

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gH/(wD) 2 = F[Q/(wD 3), Re]

where g is the acceleration of gravity. In most cases,Reynolds number dependence is insignificant, so, in effect,

gH/(wD) 2 = F[Q/(wD 3)] (1)

gH = (wD) 2*F[Q/(wD3)] (2)

Recognizing that the pump pressure rise Pis equal to P = pgH, results in

P =gH =(coD)2*F[Q/(wD3)] (3)

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Pump Affinity Relationships (continued)

Recognizing that Q is proportional to Vax*D 2 , where Vax is

the axial fluid velocity, and that wD is twice the impeller tip .

velocity Vt, converts (3) to the following:P = pgH = p(Vt) 2*F[Vax/ Vt] (4) 0

• Thus, the pump or fan pressure rise is proportional to theproduct of a dynamic pressure term based on the impellertip velocity Vt and a function F of the dimensionlessparameter P3 = Vax/Vt that is related to the angle of attack ofthe impeller blades with respect to the incoming axial flow. >

• Equation 4 can be used to compare the performance of the !STP-3 pumps to the reference pump. For this comparison,the data in Table 1 are needed.

9sWestinghouse 1212


ABWR and Reference Pump Data

Table 1 STP-3

Parameter

D(in.)

Head H (ft)

Flow (gpm)

Density p (lb/ft3)

Vt (fps)

Vax (fps)

Rotational Speed (HZ)

p*'V 2 (psi)

P(psi)

p*Vt2 ratio (RP/STP-3)

P ratio(RP/STP-3)

and Reference Pump

STP-3 / RJ-ABWR

[ ]~,b

107

3Q430

47.092

[ ]~ab

[ ]~ab

Parameters

Reference Pump (RP)

[ ]ab

365

78750

47.7676

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[[

a.b

a,b

24.17

[ ]a,b

34.992

29.8

a2b

121.078

[ ]a,b

3.460>C

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Pump Affinity Relationships (concluded)

Table I are* It will be noted that the p(Vt)2 and P ratios from

approximately the same ([ ]a,b and 3.460).Eq (4) and forming the ratio of PRP/PST gives

PRP/PST =([ p*Vt2 ] RP/[p*Vt2]ST)*(FRp/FST)

Table 1 areUsing

(5)

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3.460 = [ ]a,b *( FRp/FST)a,b(FRp/FST) = I

* This is close enough to unity that Equation 5 can beapproximated as

PRP/PST =([ p*Vt2 ] RP/[p*Vt2]ST) (6)

or, inverting:

PST/PRP =([ p*Vt2]ST/[p*Vt2 ] RP)

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0o(7)

Westinghouse 1414


Application of Affinity Relationships to PumpPulsations

While the relationships leading to Eq (7) apply directly to steady-statepump pressures, it is reasonable to expect similar applicability tofluctuating pressures as well..-o

- As discussed in Simpson et al, these unsteady fluctuations are "associated withthe passage of the impeller blades over the static diffuser blades or volutecutwater."

- The rationale is that, given that tip dynamic pressure [P*Vt\2] magnitude is thedominant parameter governing pump pressure P, it would be expected that thefluctuations in this dynamic pressure caused by the abrupt interactions of rotor

and stator blades during impeller rotation would also be proportional to impellertip dynamic pressure.

- The proportionality constant might be'different, but Eq (7) should still hold, at >least in an approximate sense. That is,

dPsT/dPRP =([ p*Vt2]ST/[p*Vt2 ]Rp) (7') >

where dp refers pump fluctuating pressure amplitude, or forcing functionamplitude.

Westinghouse15

Westinghouse Non-Proprietary Class 3 Ws oC© 2012 Westinghouse Electric Company LLC. All Rights Reserved.

Results of RP Single Pump Tests

RP forcing function pressure amplitudes are: I.a,c C

Pff (1 per revolution) CD

- Pff (2 per revolution)- Pff (blade passing)

* Applying the relationship in Eq (7') and the appropriatepump data results in the following single pump test pressureamplitudes for STP-3:- Pff-RP (1 per revolution) a,c

- Pff-RP (2 per revolution)

- Pff-RP (blade passing)

W s i g o se 16.

cWestinghouse 1


Pump Forcing Functions -- Comparison

" RJ-ABWR based vs. pump test based forcing functions:

Pump Frequency Pff-RJ (psi) Pff-RP (psi) Ratio

1R ac

2RBlade passing

" The forcing function amplitudes calculated based on thesingle pump tests are bounded by the RJ-ABWR basedforcing functions (that were used in the STP-3 analysis) bya significant margin

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Pump Forcing Functions - Conclusions

" Using all pumps in phase with RJ-ABWR pressure results is j-a reasonable approach

" Single pump testing with appropriate scaling indicates thatthe RJ-ABWR based forcing functions are adequatelybounding

• Comparison of calculated strains to measured strains inRJ-ABWR indicate our results are reasonable

• Extensive operating experience of ABWRs in Japan since1996 without any problems provides evidence that pump >pulsations are not causing issues in ABWR plants

" WCAP-17370-P (MTI Plan) includes STP-3 start-up testingto confirm pump-induced pulsation forcing functions

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FIV-Related WCAP Revisions

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FIV-related WCAP Revisions

" WCAP revisions are needed to close out confirmatory items- Changes per RAI responses

- Changes per audit actions

" Other changes needed for consistency and clarity- Keep reference between reports consistent (correct revisions)

- Correct typographical errors and reference numbers

" Changes summarized on next slide

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WCAP Revisionsor No Reo Toi I Change

_1

WCAP-1 7256

WCAP-1 7257

STP-3 CVAP

STP-4 CVAP

WCAP-17369 'OE

_WCAP-1 7370 MTI Plan

" Revise reference revisions

* Revise visual inspection requirements from VT-3 toVT-1 and revise associated text

* Correct reference numbers" Revise reference revisions

No changes required~~~_

* Revise pre-op test measurement uncertaintydescription

* Revise reference revisions

" Add statement that ACSTIC2 is only used for loads.on submergedstructures

" Remove statement regarding [1a b

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WCAP-1 7371 Non-dryer

* Correct typographical errors- Revise reference revisions

WCAP-1 7385 Steam Dryer * Add description of assessment for non-full pen weldsRevise reference revisions

Westinghouse

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STP 3&4 COLA Revisions

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STP 3&4 COLA Revisions

60

" STP 3&4 COLA Section 3.9.8 includes references to thetwo comprehensive vibration assessment program reports 0

- 3.9-13: WCAP-1 7256 (STP-3 CVAP Report)

- 3.9-14: WCAP-17257 (STP-4 CVAP Report)

" These two CVAP reports reference the other four FIVrelated reports, all of which are docketed

" NINA believes this approach adequately documents the >STP 3&4 FIV reports C z

Westinghouse 2323


STP 3&4 COLA Revisions (continued)

" Addition of ABAQUS computer code (used for structuralanalyses of some STP 3&4 submerged structures)- Reference in Appendix 3D Section 3D.3

- Add to Section 4.1.4.1 and new Section 4.1.4.1.11 with codedescription

" Will be added in COLA R8- Suggested changes as shown on following slides

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3D Computer Programs Used in the Design of Components, Equipment andStructures

The information in this appendix of the reference ABWR DCD, including allsubsections, is incorporated by reference with the following supplement. AkGComputer codes that isare used for analysis of reactor internal components is,are added to Section 3D.3.

3D.3 Reactor Pressure Vessel and Internals

The following computer programs are used in the analysis of the reactorpressure vessel, core support structures, and other safety class reactorinternals: NASTRO4V, SAP4G07, HEATER, FATIGUE, ANSYS, CLAPS,ASSIST, SEISM03 AND SASSI, and ACSTIC2, and ABAQUS. Theseprograms are described in Subsection 4.1.4. >

Westinghouse ... 25



4.0 Reactor 4.1 Summary Description

The information in this section of the reference ABWR DCD, including all subsections and •figures, is incorporated by reference with the following supplement.ý Cmputer codes'",that isare used for analysis of reactor internal components isare. added to Section 4.1.4.1.

4.1.4.1 Reactor Internal Components

Computer codes used for the analysis of the internal components are as follows:

(11) ABAQUS;

4.1.4.1.11 ABAQUS

ABAQUS solves traditional implicit finite element analyses, such as static, dynamic, andthermal, all powered with a wide range of contact and nonlinear material options.ABAQUS also has optional add-on and interface products that address design sensitivity !ianalysis. ABAQUS enables a wide range of linear and nonlinear en.qineering simulations.:The computer code is used to perform modal analyses of various reactor internalcomponents.-

Westinghouse 26


Wrap up

* Action Items

* Schedule* Next actions

Westinghouse

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attachment 3, stp units 3 & 4 - flow induced vibration ...(frp/fst) = i a,b * this is close...

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