ML20084E382

Pressurizer Safety Valves Dynamic Analysis

ML20084E382
Person / Time
Site:	Ginna
Issue date:	06/19/1972
From:	ROCHESTER GAS & ELECTRIC CORP.
To:
Shared Package
ML20084E344	List: ML20084E341 ML20084E350 ML20084E359 ML20084E377 ML20084E382
References
NUDOCS 8304150042
Download: ML20084E382 (21)

Text

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O - o 4 APPENDIX I Contents 4 i i. Isometric, Drawing PCV-434 Figure 1 Piping System & Supports ii. Isometric Drawing PCV-435 Figure 2 Piping System &-Supports

1. O.

Calculation'of Transient Hydralic Loads i

2. O.

Dynamic Structural Analysis J r l l f + t 4 i -1 t '-tYy it w ,wt+ e +q er

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O O u o RGLE Pressurizer Safety Valve System Calculation of Transient Hydraulic Loads

1. 0 The Pressurizer Safety Valve piping system is a closed system so that no sustained reaction force from a free discharging jet of fluid can exist. However, transient hydraulic loads can be imposed at various points in the piping system from the time a safety valve begins to pop open until steady flow is completely developed. The calculations described here were performed to provide a time-history of such loads acting on each straight Icg of pipe from the safety valve downstream to the relief tank header.

These calculations were based on the following conservative consumptione: 1. Valve opens full in 40 milliseconds: test data show opening to be approximately 70% in 40 milliseconds. 2. Loop seal water is pushed ahead of steam: actually some break-up of the water slug is expected to occur as water is forced past the valve seat and as the water passes successive downstream elbows. 3. Two-phase flow in the downstream piping is homogeneous: thus any flashing of loop seal water will result in steam bubbles trapped in the water slug. Actually some phase separation is likely, reducing the acceleration of the liquid phase. 4. No credit is taken for Power Operated Relief Valves: actuation of power operated relief valves would increase the back-pressure. in the relief tank piping system thereby reducing the transient hydraulic loads from subsequent safety valve actuation. For this analysis, the lowest back-pressure was assumed (3 psig) corresponding to conditions just prior to actuation of the first safety valve with relief valves closed. The FLASH IV digital computer program (reference) was employed in performing these calculations. The piping system shown in figure 1 & 2 was represented in FLASH by starting with an infinite source of. steam at the pressurizer, and segmenting the piping lead-ing to the header into various nodes. The safety valve was represented as a " leak element" with choked flow.nto the valve calculated by the 2 Moody correlation. The code was also setup to check the flow chok-ing at the end of the downstream piping. Frictional losses were incorporated for this piping and associated elbows. A special out-put edit was incorporated in FLASH to provide data for calculations of hydraulic force time-histories. -) 4

g. - O O i - The results of the calcuations for the RG&E safety valve system - i are shown in figures 2 through 9. The force is considered positive -in direction opposite to the flow direction for these calculations. 1 For each leg of the piping system, a positive force is first applied as the flow is accelerated around the upstream elbow followed by l -a force reversal after the loop seal water slug arrives at the down- ] stream elbow. As the flow develops, forces first appear at the leg immediately downstream of the safety valve (node point 240) and subsequently appear at successive legs downstream of the valve (node point 220, node point 220, etc. ). Note that the flow achieves steady-state conditions after approximately 150 milliseconds. A. comparison of peak magnitudes of these forces with the free blow-ing reaction fo'rce for the safety valve (7,100 lbs. ) indicates that l the forces in the closed piping system are substantially smaller. than those for an open free blowing configuration. These data also show that the force applied directly at the valve is relatively small while forces further downstream in the piping system can be com-paratively large. The relative magnitues of these forces and the. interrelation of the time-histroy behavior led to the conclusion that a complete dynamic analysis of the structural responses for the piping and support systems would be appropriate. I The time-history hydraulic forces were determined based on several' loop seal temperatures. The calculated loop seal temperature for Ginna Station Unit I with a 3 inch thick insulated water loop _is.330 F. The hydraulic forces assuming a 300 F water temperature were applied to the structrual dynamic model at each change in flow direc-tion throughout the system. This constitues a true impulsive dynamic analysis with simultaneous contributions from all the dynamic modes of the system. .4 i

Reference:

WAPD-TM-840, " FLASH IV: A Fully Implicit Fortran IV Program for the Digital Simulation 4 of Transients in a Reactor Plant", T. A. Porsching, J. H. Murphy, J. A. Redfield, V. C. Davis. J. 4 ,i G = - > m-w

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y n Rochester Gas & Electric Corporation Pressurizer Safety Valve Piping i Dynamic Structural Antiysis

2. O The piping system was modeled as 'a multi degree of Freedom D(

lumped mass system as shown in figures 1 & 2. g' .t sse s ~ The natural frequencies and mode shapes of the system were solved using program WESTDYN. This normal solution and the time-history forces from blowing safety valve were input to program + l i FIXFM. This program was used to calculate the response of the ^ lumped mass system. This time-history response of the lumped mass system was input into program 'WESTDYN-2 which calculated the complete stress, force, and displacement time-history solution of the structure (and supports) for the applied transi'ent loads. O / 6 2.1 WESTDYN WESTDYN is a special purpose program designed for t e static and dynamic solution of redundant piping systems with arbeifary loads and boundary conditions. It computes, at any point in the piping system, the stresses, forces, moments, translations, and rotations which result from the imposed anchor or junction loads in any combination of the three orthogonal' axes. The section properties have been specialized to piping cross sections plus the 'y addition of curved members or eI6 ws. Valves may also re repre- ~ 4 sented as stiffer members. ffhe pipimg system may contain a number of sections, a section being defined *a# a sequence of straight and/or curved members lying between two%etwork paints. A network point is 1) a junction of two or more pires',.?,) an anchor or any poin at which motion is prescrib$d, orj3) 'any arbitrary point. ;* f,t y d y Any location in the system may sustain prescribed loads or\\; gay be subject to elastic constraint in anyN its six degrees of fregdom. l For example, hangers may be arbitrarily spaced along a section l and may be of the rigid, flexible, or constant force type. y p The response to seismic excitation is determined. by using noVmal mode techniques with a lumped mass system.- The maximum spectral acceleration is applied for each mode at its corresponding freof]ency I from response spectra. A basic assumption is that the maximum modal excitation of each mode occur simultaneously. The modal N participations are then summed. t si s Q } l ~~ 'F &, p r). S.'-

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2. 2 WESTDYN-2 This program is a slightly modified version of the WESTDYN prog ram. The program accepts (does not calculate) time-history displacement vectors as boundary conditions and proceeds to an usual WESTDYN static solution. In addition to the usual stress solution, the program also calculates axial stress, shear stress, and stress intensity.

I

2. 3 FIXFM FIXFM is a digital computer program which determines the time-hiattery response of a three-dimensional structure excited by an internal forcing function. FIXFM accepts (input) normalized mode

' shapes, natural frequencies, forcing functions and an initial deflec-a tion vector. The program sets up the modal differentail equations of motion. The modal differential equations are then solved numer-s ically by a predictor-corrector technique of numerical integration. The modal contributions are then summed at various nodal or mass points throughout the structure to get the actual time-history response.

2. 4 Typical selected stress and global force outputs of the dynamic analysis for the Class 1 piping for PCV434 & PCV435 are shown in the attached tables.

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0 D E T T O L 162181S2585630357751488000 P E). UI111 1 000 N LS E A < E V( B S II A 00000000000 000000000000000 SS i 03303303 333 003003 033333 333 KK ) 000000 00000000000000000000 EC47036925914703692581470000 ME33444455566677779889990000 00 IS22222222222222222222223000 T(.. 00 000 M

23334676285685690583437362 SS E)....... SS UI 11 111 121 121 5, EE LS RR A K TT V( 7 SS a. LR AA 00000000 000000000000000 000 T I E 00000000 000000000000000 000 U XH ) 00000000000000000000000000 P AS EC692581 4703692531470 3692581 T SS ME5566677788889990001 1112223 U DD C IS11111111111111122222222222 O NN I T(.................. 3O M S CC S S EF I E SS E R S ~ T Y S L N D O E 0 5505144i524912881181907116 T 2 E) 6 1 UI111 11 1111 1 11 E' 8 2 LS LY2 N AK EL 0 W V( SN II 0 3 SS 3 TT KK W G AA O 00000000000000000000000000 N T L 00000000000000000000000000 I A 00 B ) 00000000000000000000000000 PN II EC81470369258 147036925814703 IW SS 00 ME75889999000111222233344455 PO8 KK IS00000000111111111111111111 O8 30 T(.. EW2 VO 20 LL S A9 S V

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