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| number = ML18031A117
| number = ML18031A117
| issue date = 03/15/1979
| issue date = 03/15/1979
| title = Forwards Nonproprietary Versions of Kraftwerk Union Aktienglesellschaft Documents Transmitted 771228 & 780105. Responds to NRC 780428 Ltr
| title = Forwards Nonproprietary Versions of Kraftwerk Union Aktienglesellschaft Documents Transmitted 771228 & 780105. Responds to NRC
| author name = Curtis N
| author name = Curtis N
| author affiliation = PENNSYLVANIA POWER & LIGHT CO.
| author affiliation = PENNSYLVANIA POWER & LIGHT CO.
Line 17: Line 17:


=Text=
=Text=
{{#Wiki_filter:1 i
{{#Wiki_filter:1 i REGUI.ATORY INFOPMATION DISTRIBUTION SYSTEM (RXDS)
REGUI.ATORY INFOPMATION DISTRIBUTION SYSTEM (RXDS)
ACCESSION NBR 5 7903150312 OOO-DATE'! 79/03/15 NOTARIZED!
ACCESSION NBR 5 7903150312                                         OOO- DATE'! 79/03/15                       NOTARIZED! NO                 DOCKET FACIL'e50~387 SUSQUEHANNA,'STKAM FI.KCTRIC STATIONS UNIT 1 g PENNSYLVA                                                                     05000387 50~388 SUSQUEHANNA STEAM ELECTRIC STATIONr UNIT 2g PENNSYLVA                                                                     05000388 AUTHSNAMK                                                       F   IATION CURTIS i N ~ lf 8                                                                                    t p+-tC REC IP o NAME                         RECIPIENT>> AFF'ILIATION PARREONDs                                       I   XGHT HATER REACTORS BRANCH 3
NO DOCKET FACIL'e50~387 SUSQUEHANNA,'STKAM FI.KCTRIC STATIONS UNIT 1 g PENNSYLVA 05000387 50~388 SUSQUEHANNA STEAM ELECTRIC STATIONr UNIT 2g PENNSYLVA 05000388 AUTHSNAMK F
.,SUB JKCTt   FORWARDS NONPROPRIETARY VERSIONS OF KRAFTNERK UNION AKT IENGESKLLSCHAFlT DOCUMENTS TRANSMITTED 771228 8 780105                                                               ~
IATION CURTIS i N ~ lf8 t p+-tC REC IP o NAME RECIPIENT>> AFF'ILIATION PARREONDs I XGHT HATER REACTORS BRANCH 3
RESPONDS TO NRC 780428 L>>T DISTRISUTION CODEt ZZZZS                                       C   IES RPCEIVEDiLiTR 'Q'NCL                         ++   SIZET   'i TITLE(                 +       a: A   * *     +
.,SUB JKCTt FORWARDS NONPROPRIETARY VERSIONS OF KRAFTNERK UNION AKTIENGESKLLSCHAFlT DOCUMENTS TRANSMITTED 771228 8 780105 ~
* A *>>r '8 R'"E C I A L                       D,,I S.T   R I   8 U T I, N OTESg
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TWO NORTH NINTH STREET,   ALLENTOWN, PA. 18101   PHONE: (215) 821-5151 NORMAN W, CURTIS Vice President Engineering & Construction 821.5381 Mr. Olan D. Parr Chief Light Hater Reactors Branch No.                 3 Division of Prospect Management U.S. Nuclear Regulatory Commission Hashington, D.C. 20555 SUSQUEHANNA STEAM ELECTRIC STATION NON-PROPRIETARY SUBMITTAL OF KWU DATA ER 100450                           FILES 840-2p 172                               DOCKET NOS. 50-387 PLA-327                                                                                        50-~88
TWO NORTH NINTH STREET, ALLENTOWN, PA.
18101 PHONE: (215) 821-5151 NORMAN W, CURTIS Vice President Engineering & Construction 821.5381 Mr. Olan D. Parr Chief Light Hater Reactors Branch No.
3 Division of Prospect Management U.S. Nuclear Regulatory Commission Hashington, D.C.
20555 SUSQUEHANNA STEAM ELECTRIC STATION NON-PROPRIETARY SUBMITTAL OF KWU DATA ER 100450 FILES 840-2p 172 PLA-327 DOCKET NOS. 50-387 50-~88


==Dear Mr. Parr:==
==Dear Mr. Parr:==
 
Transmitted. herewith are 40 copies of the non-propreitary versions of the twenty.Kraftwerk Union Aktienglesellschaft (KWU) documents transmitted wish our let ers of December 28, 1977 (PLA-207) and. January 5, 1978 (PLA-208) ~
Transmitted. herewith are 40 copies of the non-propreitary versions of the twenty .Kraftwerk Union Aktienglesellschaft (KWU) documents transmitted wish our let ers of December 28, 1977 (PLA-207) and. January 5, 1978 (PLA-208)                   ~
This transmittal is made in response to your letter of April 28, 1978 regarding the witholding of the KHU proprietary documents from public dis-closure.
This transmittal is made in response to your letter of April 28, 1978 regarding the witholding of the KHU proprietary documents from public dis-closure.
Very     truly yours, N.H. Curtis Vice President-Engineering               8o Construction DFR/kes v 903 1 503<+4.
Very truly yours, N.H. Curtis Vice President-Engineering 8o Construction DFR/kes v903 1 503<+4.
PENNSYLVANIA POWER   &  LIGHT COMPANY
PENNSYLVANIA POWER LIGHT COMPANY


gP,g RE0f d&                               UNITED STATES
gP,g RE0f d&
+               0 cs                 A               'NUCLEAR REGULATORY COMMISSION WASHINGTON, D. C. 20666 0
+
  +~           ~0
0 cs A
      ~+*+~
0
ORA'tDUiai FOR:   TERA   Corp.
+~
FROM:                 US  NRC/TIDC/Distribution Services Branch
~0
~+*+~
UNITEDSTATES
'NUCLEAR REGULATORY COMMISSION WASHINGTON, D. C. 20666 ORA'tDUiai FOR:
TERA Corp.
FROM:


==SUBJECT:==
==SUBJECT:==
Special Document Handling Requirements
US NRC/TIDC/Distribution Services Branch Special Document Handling Requirements
: 1. Please use the following special           distribution list for the attached document.
(;UP g+SSAL<<
LTR+ Epcl                                                 (;UP g+SSAL<<
R ggHI3IKR04 OEQ) considerations:
p~g                                 gg~ (-t 4)               R ggHI3IKR04 8 PARR                             Q5 LQ.
Do not send oversize enclosure to the PRO PDR.
                                                ~                g~     PDP-           OEQ) eD /ause~                           pPDP Reechy ~c +
Q Only one oversize enclosure sas received please return for Regulatory Pile storage.
                                +~~PCS ~~ +~
Q Proprietary information - send affidavit only to the ilRC PDR Q Other: (specify) 1.
Sne~c     ~~~ +~
Please use the following special distribution list for the attached document.
g/     pg'~r "sr'.~~i~
LTR+ Epcl p~g gg~ (-t4) 8 PARR Q5 LQ.
Z o-E~(.n)
g~ PDP-eD/ause~ ~
: 2. The attached     document requires the following special considerations:
pPDP Reechy ~c +
Do  not send oversize enclosure to the          PRO PDR.
+~~PCS ~~ +~
Q  Only one oversize enclosure sas received  please return for Regulatory Pile storage.
Sne~c ~~~ +~
Q  Proprietary information        -  send  affidavit only to the  ilRC PDR Q  Other: (specify) cc:    DSB Files                                   TTDC/DSB   Authorized Si
g / pg'~r sr'.~~i~"
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The attached document requires the following special cc:
DSB Files TTDC/DSB Authorized Si


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r THE ATTACHED FILES ARE OFFICIAL RECORDS OFTHE DIVISION OF DOCUMENT CONTROL, THEY HAVE BEEN                   >0 CHARGED TO YOU FOR A LIMITED TIME PERIOD AND MUST BE RETURNED TO THE',RECORDS FACILITY                       g        i, BRANCH 016. PLEASE DO NOT SEND DOCUMENTS                     p Pi CHARGED OUT THROUGH THE MAIL. REMOVAL OF, ANY .
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PLEASE DO NOT SEND DOCUMENTS CHARGED OUT THROUGH THE MAIL. REMOVALOF, ANY.
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PROPRIETARY INFORMATION This document has been     made NON-PROPRIETARY by the deletion of that information which       was classified as PROPRIETARY by KRAFTWERK UNION AG (KWU).
PROPRIETARY INFORMATION This document has been made NON-PROPRIETARY by the deletion of that information which was classified as PROPRIETARY by KRAFTWERK UNION AG (KWU).
The PROPRIETARY   information deletions are   so noted throughout the report where indicated by a)   Use of the term   KRAFTWERK UNION AG PROPRIETARY INFORMATION .
The PROPRIETARY information deletions are so noted throughout the report where indicated by a)
b)   Use of blocked out areas by cross hatch bands in the report text and figures/tables, e.g.
Use of the term KRAFTWERK UNION AG PROPRIETARY INFORMATION.
                ...." with   a mass flow density ofQ~QBKg/m2s...";
b)
                                ~~ mm iii)        should be kept below     ~r   ~ atm."
Use of blocked out areas by cross hatch bands in the report text and figures/tables, e.g.
iv) 8/17/78
iii) iv)
...." with a mass flow density ofQ~QBKg/m2s...";
~~ mm should be kept below ~ r ~ atm."
8/17/78


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fthm, gag TELEFUNKEN                                   F       q 29 garch 1972 Dr. Mei/ru E 3/E 2-SI            NUCLEAR REACTORS          Report No. 2208 CALCULATION MODEL TO CLARIFY THE PRESSURE OSCZLLATIONS  IN THE SUPPRESSION  CHAMBER AFTER VENT CLEARING A'
gag TELEFUNKEN E 3/E 2-SI NUCLEAR REACTORS F
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: fthm, q 29 garch 1972 Dr. Mei/ru Report No. 2208 A'
fee OA os) u5      o o~eow >o4 4
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~$ >g           oc g Checked:     /e/           Dr. Koch, E 3/E 2-SZ Classif ied s /s/           Xanper, E 312 Class ZZ 2-1
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Classif ied s Class ZZ CALCULATION MODEL TO CLARIFY THE PRESSURE OSCZLLATIONS IN THE SUPPRESSION CHAMBER AFTER VENT CLEARING
/e/
/s/
Dr. Koch, E 3/E 2-SZ
: Xanper, E 312
/e/
/s/
Dr. Neieehaupl/Schall E3/E 2
2-1


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Distribution list:
Distribution list:
E 3/ V 4,-XVW (i2 x)
E 3/ V 4,-XVW (i2 x)
E 3 E 3/V
E 3 E 3/V
~
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E 3/E E 3/R E 3/V4 E 3/V3 E 3/V X E 3/V2 E 3/E 2 E3 /E 2-SI     (3 x)
E 3/V2 E 3/E 2 E3 /E 2-SI (3 x)
E 3/E i E3/R   g I 3/R i-AB 8 3/R i- ABS E 3/R 1-ABB E3/R   1 E 3/E 3 E (/E 3-VSF 8PbMokhek
E 3/E i E3/R g
  )T-F
I 3/R i-AB 8 3/R i-ABS E 3/R 1-ABB E3/R 1
E 3/E 3 E (/E 3-VSF 8PbMokhek
)T-F


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QONLDLSILZTY CLAUSE This roport ia baood on tho latost otato of acionce and technology as achievable by our boat offorts. Zt makes use of the knovledge ond oxperionce of AEG Hovever, AEG-TELEFUNKEN and   all persons acting in its behalf make no guarantee. Xn particular, they are not liable for the correct-ness, accuracy and completeness of the data contained in this report nor for the observance of third party rights.
QONLDLSILZTY CLAUSE This roport ia baood on tho latost otato of acionce and technology as achievable by our boat offorts.
~~
Zt makes use of the knovledge ond oxperionce of AEG
AEG-TELEFUNKEN   reserves all rights to   the technical infozmation contained in this report, particdarly the right to apply for patents.
: Hovever, AEG-TELEFUNKEN and all persons acting in its behalf make no guarantee.
Purthor dissemination of this rcport ond of the Rnovlodge contained aequiros tho eritton approval of ILES-TELEFUMKKX. Moreover,   'horoin this rcport is ocemaudcatod indor the naaumption that     it vill be handled conf idontially.
Xn particular, they are not liable for the correct-
: ness, accuracy and completeness of the data contained in this report nor for the observance of third party rights.
~ ~
AEG-TELEFUNKEN reserves all rights to the technical infozmation contained in this report, particdarly the right to apply for patents.
Purthor dissemination of this rcport ond of the Rnovlodge contained
'horoin aequiros tho eritton approval of ILES-TELEFUMKKX. Moreover, this rcport is ocemaudcatod indor the naaumption that it vill be handled confidontially.
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p jl ~ ~
p jl ~
Table of contents Pacae Zntroduc tion                             2-6 2~         Oscillation of the air hubble - ttater mass system                               2"8 2.1        Equation of motion                       2-8 2.2        Perfonnance of the numerical calculation 2-11
~
: 2. 2.1    Data                                      2-11 2~2~2      Parameter  calculation                  2-12 3 ~       Discussion                                 2-14 Conclusion                                 2"16 Figures                                    2-18 2-4
Table of contents Pacae Zntroduc tion 2-6 2 ~
2.1 2.2
: 2. 2.1 2 ~ 2 ~ 2 Oscillation of the air hubble - ttater mass system Equation of motion Perfonnance of the numerical calculation Data Parameter calculation 2"8 2-8 2-11 2-11 2-12 3 ~
Discussion 2-14 Conclusion Figures 2"16 2-18 2-4


To oxplain the periodic prcssure variations observed in KNW underneath the   relief pipe of the suppression chamber and in QvH in the scram tnnk> a physical model is set up. This model I
To oxplain the periodic prcssure variations observed in KNW underneath the relief pipe of the suppression chamber and in QvH in the scram tnnk> a physical model is set up.
consists of the assumption that during the vent clearing process in the relief pipe the air cushion situated between the outflowing steam and the water slug is highly compressed and, when   it emerges frcca the pipe, begins to oxpand suddenly because of its over-pressure. Zt is then compressed again by the pressure of the water mass loading   it fraa above> etc., thereby creating an oscillation process.
This model I
.The oxcellent qualitative and quantitative agreement between the theoretical and oxperimental prcssure variations allows us to conclude that the obsorvod poriodic prcssure fluctuations can be doscribed by the assumod physical model of the oscillation of the system consisting of air bubble and water mass loading   it from above.
consists of the assumption that during the vent clearing process in the relief pipe the air cushion situated between the outflowing steam and the water slug is highly compressed
: and, when it emerges frcca the pipe, begins to oxpand suddenly because of its over-pressure.
Zt is then compressed again by the pressure of the water mass loading it fraa above> etc., thereby creating an oscillation process.
.The oxcellent qualitative and quantitative agreement between the theoretical and oxperimental prcssure variations allows us to conclude that the obsorvod poriodic prcssure fluctuations can be doscribed by the assumod physical model of the oscillation of the system consisting of air bubble and water mass loading it from above.
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: 1. Introduction Bofore the stcam   'braid'a   produced during cloaring through the relief pipe, the vater slug situated in the pipe     is first expelled, forming a highly comproased   air cushion between the water "slug and the afterf lowing steam. Mhen that air cushion emerges from the pipe,   it bogins to oxpand again suddenly in order to come into equilibrium with the surrounding pressure (vhich is composed of the pressure in the suppression chamber and the hydrostatic pressure) .
: 1. Introduction Bofore the stcam 'braid'a produced during cloaring through the relief pipe, the vater slug situated in the pipe is first expelled, forming a highly comproased air cushion between the water "slug and the afterflowing steam.
The suppression   chamber vater mass loaded hy   the emerging air cushion ia driven upward until the influence of the gravitational force and of the underprevsure forming in the air bubble as time passes (which ia producod hy tho continued upvszd movosent of the water roaulting from the mechanical inertia principle) leads to a rovoraal of the pzocesa   and the air hubble ia compressed again by dovnvard motion   of 'the vater mass. That     is folloved by roneved expansion, otc., etc. The air bubble - water mass system under consideration thus represents an oscillatory system vhose oscillation persists until the air bubble has risen to the vater's surface and breaks there or until the oscillation amplitude becomes negligibly amall due to strong damping and lateral outflow of the water that ia throvn upward.
Mhen that air cushion emerges from the pipe, it bogins to oxpand again suddenly in order to come into equilibrium with the surrounding pressure (vhich is composed of the pressure in the suppression chamber and the hydrostatic pressure)
In the following   ve now aet up a   highly simplified model of this oscillation   procoas and compare   the rosulta obtained from   it with 2 6
The suppression chamber vater mass loaded hy the emerging air cushion ia driven upward until the influence of the gravitational force and of the underprevsure forming in the air bubble as time passes (which ia producod hy tho continued upvszd movosent of the water roaulting from the mechanical inertia principle) leads to a rovoraal of the pzocesa and the air hubble ia compressed again by dovnvard motion of 'the vater mass.
That is folloved by roneved expansion, otc., etc.
The air bubble - water mass system under consideration thus represents an oscillatory system vhose oscillation persists until the air bubble has risen to the vater's surface and breaks there or until the oscillation amplitude becomes negligibly amall due to strong damping and lateral outflow of the water that ia throvn upward.
In the following ve now aet up a highly simplified model of this oscillation procoas and compare the rosulta obtained from it with 2
6
 
the poriodic prcssure variations observed oxperinentally in KWW and in Qw8 [4].
fl) Rupp, Eismar, Pohl!
KWW <<Results of the relief valve tests with the special instrumentation.
AKG "E3"2l60


the poriodic prcssure variations observed oxperinentally in  KWW and  in Qw8  [4].
2.
fl)  Rupp, Eismar, Pohl!  KWW <<Results of the relief valve tests with the special instrumentation. AKG "E3 "2l60
Oscillation of the air bubble - water mass s stem 2.1 Eguation of motion To calculate the oscillatory bohavior of the air bubble and the water mass loading it from above, we make the foU.owing highly aimplified assumptions:
: 2. Oscillation of the air bubble - water     mass s stem 2.1 Eguation of motion To calculate the oscillatory bohavior of the air bubble       and the water mass loading     it from above, we make the foU.owing highly aimplified assumptions:
a) After emerging from the. relief pipe, the air bubble has the shape of a flat. cylinder (see Figure below).
a) After emerging from the. relief pipe, the air bubble     has the shape of a flat. cylinder (see Figure below) .
Ac P>>
Ac               P>>
pK ~ pressure in suppression chamber o, Vi 7 b) The air bahMo does not xioo to the aurface of the water during the oscillation procoss (the influence of this process is taken into consideration by a parsmetriration of the air bubble's oubmergence).
pK
c) The air bubble expands only in the vertical direction
                                                ~ pressure in suppression chamber o, Vi 7 b) The air bahMo does not xioo to the aurface of the water during the oscillation procoss (the influence of this process is taken into consideration by a parsmetriration of the air bubble's oubmergence) .
{assuming a flat cylinder, the horizontal expansion is approximately negligible relative to the vertical oxpansion)
c) The air bubble expands only     in the vertical direction   {assuming a flat cylinder,   the horizontal expansion is approximately negligible relative to the vertical oxpansion)     ~
~
d) The water mass     lying above the bubble does not change   its ohape during the oscillation process (thus, no water flows 2 8
d)
The water mass lying above the bubble does not change its ohape during the oscillation process (thus, no water flows 2
8


away ).aterally during the   lift, and       no water flows in from. the
away ).aterally during the lift, and no water flows in from. the
  , side during the drop)   .
, side during the drop).
Prom   the center-of~ss theorem       we       obtain the equation of motion of the water mass:
Prom the center-of~ss theorem we obtain the equation of motion of the water mass:
(1)
- (1)
The   acceleration of the water mass m is maintained by gravitation, the pressure p of the air bubble on the water mass axnre it, anf the suppression chateau pressure     pK. x is the coordinate of the center of mass of the water mass, P is the boundary surface area between the   air bubble and water mass.
The acceleration of the water mass m is maintained by gravitation, the pressure p of the air bubble on the water mass axnre it, anf the suppression chateau pressure pK.
Since the     oscillation procoeds rapidly onough, we can assume an adicIbatic ohLngo of atato of the gas. Theroforo, the relation between the instantaneous       state (p, V, T) and the initial state (p   Vo< T )   which prevails immediately after the oxpulsion of the air   bubble frcca the   rolief pipe roads'or air,   x The change     of the gas volume from V0 to         V corresponds <<xactly to the   lift  of the water mass. Thus:
x is the coordinate of the center of mass of the water mass, P is the boundary surface area between the air bubble and water mass.
Since the oscillation procoeds rapidly onough, we can assume an adicIbatic ohLngo of atato of the gas.
Theroforo, the relation between the instantaneous state (p, V, T) and the initial state (p
Vo< T ) which prevails immediately after the oxpulsion of the air bubble frcca the rolief pipe roads'or air, x The change of the gas volume from V to V corresponds
<<xactly to 0
the liftof the water mass.
Thus:
(3)
(3)
V s V   + F~   x, K
V s V
from which     we obtain for the pressure frccn Eq. (2):
+ F ~ x, K
from which we obtain for the pressure frccn Eq.
(2):
2-9
2-9


I (4)
I
If we now express the state variable V0    in terms of the state variables p,a' V for the initial state of the quantity of aii which is present before the beginning of the vent clearing process:
 
(5) then we get for the pressure p:
(4)
If we now express the state variable V in terms of the state 0
variables p, V for the initial state of the quantity of aii a'
which is present before the beginning of the vent clearing process:
(5) then we get for the pressure p:
(6)
(6)
If we insert this oxpression into the difforential equation       (1) we finally obtain for the oquation of motions (7) in which we have set m ~   pgh for the   mass m of the water (p< is the density of the water, h     is tho aubmorgonce of the air bubble)     .
If we insert this oxpression into the difforential equation (1) we finally obtain for the oquation of motions (7) in which we have set m ~ pgh for the mass m of the water (p< is the density of the water, h is tho aubmorgonce of the air bubble).
E In this differential oquation of     oocond   order,. the variables p   .
E In this differential oquation of oocond order,. the variables p
hg F and Va appear   as parameters   (pa ~g kg/em e Pg ~ 4 kg/em ) ~
hg F and Va appear as parameters (pa ~g kg/em e Pg ~ 4 kg/em
The oquation can be aolved     roadily by a numerical me+cd (Runge-Rutta, Euler, otc.) and loads to the contormf~ss motion of the water mass as a function of timei x ~ x(t). The dependence of the prcssure on time, p   ~ p(t), can   finally be determined from Eq. (6) ~
) ~
The oquation can be aolved roadily by a numerical me+cd (Runge-Rutta, Euler, otc.) and loads to the contormf~ss motion of the water mass as a function of timei x ~ x(t).
The dependence of the prcssure on time, p ~ p(t), can finally be determined from Eq.
(6) ~
2 10
2 10


2 2   Performance   of the numerical calculation The input quantities in Eg. {7) consist of measurable data Oaaximum pressure, normal nir volume) and cLlso of data resu1ting from the assumption of the calculated mode1. In order to include quantitatively the effect of those calculation assumptions, .
2 2 Performance of the numerical calculation The input quantities in Eg.
parameter calculations vere performed starting from a reference cape ~
{7) consist of measurable data Oaaximum pressure, normal nir volume) and cLlso of data resu1ting from the assumption of the calculated mode1.
2.2.l Data The data   for the reference   case vere:
In order to include quantitatively the effect of those calculation assumptions, parameter calculations vere performed starting from a reference cape
a) Initial pressure   p c corresponding to a moasurcmcnt of the maximum pressure b) Spocific troight of the eaters pg ~~~1 kg/m c) Hoight of the eater cashion hc h
~
The air bubble was assumea to be at the height of the end of the relief pipe. Therefore, h + submergence of the relief pipe d) Surface area   of the cylindrical steam hubble:
2.2.l Data The data for the reference case vere:
It was assumed that the stcam bubble expands cylindrically as far as the odge of the suppression chacnber. Therefores 2 ll
a) Initial pressure p
c corresponding to a moasurcmcnt of the maximum pressure b) Spocific troight of the eaters pg ~~~1 kg/m c) Hoight of the eater cashion hc h
The air bubble was assumea to be at the height of the end of the relief pipe.
Therefore, h + submergence of the relief pipe d) Surface area of the cylindrical steam hubble:
It was assumed that the stcam bubble expands cylindrically as far as the odge of the suppression chacnber.
Therefores 2 ll


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o) Normal   air volume V s The air volume in the relief pipe   was determined in AEG-E3/
o) Normal air volume V s
R2-2160   to be FXIYIYIYIX/Pili arith this data ve obtain for the constants The numerical     evaluation was accomplished by using the Runge-Kutta method vith a time sharing system. The result of the cal-,
The air volume in the relief pipe was determined in AEG-E3/
culatioh is illustrated in Figure 2. A comparison with the measured pressure variation {Pigure '1) roveals good qualitative agreement and thus provides the aought proof that the observed osciDations vere interpreted correctly.
R2-2160 to be FXIYIYIYIX/Pili arith this data ve obtain for the constants The numerical evaluation was accomplished by using the Runge-Kutta method vith a time sharing system.
Por a   quantitative interpretation   it is necessary to perform several: {parameter) calculations to exhibit the influence of the various influential parameters on the oscillation data.
The result of the cal-,
2 ~ 2 ~ 2 Parameter   calculation The &put quantities into the oscillation model are based partially on measurements and partially on assumptions concerning the shape of the air bubble. To determine the influence of this "arbitrary" initial data, it ia necessary to perform a parameter calculation.
culatioh is illustrated in Figure 2.
A comparison with the measured pressure variation {Pigure '1) roveals good qualitative agreement and thus provides the aought proof that the observed osciDations vere interpreted correctly.
Por a quantitative interpretation it is necessary to perform several: {parameter) calculations to exhibit the influence of the various influential parameters on the oscillation data.
2 ~ 2 ~ 2 Parameter calculation The &put quantities into the oscillation model are based partially on measurements and partially on assumptions concerning the shape of the air bubble.
To determine the influence of this "arbitrary" initial data, it ia necessary to perform a parameter calculation.
2 12
2 12


The   following quantities were varied in the parameter calculation:
The following quantities were varied in the parameter calculation:
po Prcssure   ratio of the blowout   process pa h     c   Distance of the   air bubble from the water surface V
po Prcssure ratio of the blowout process pa h
F         This quantity represents a form factor, since, in",
c Distance of the air bubble from the water surface V
addition to the known quantity V,     it also contains an assumption concerning the spreading oi the surface area (cylindrical) .
F This quantity represents a form factor, since, in",
A survey     of the calculations performed is given in Table 1, The   variation of the pressure in the air bubble and the displace-ment amplitude of the water layer for a half oscillation period are illustrated for the various calculations in Figures 3-11.
addition to the known quantity V, it also contains an assumption concerning the spreading oi the surface area (cylindrical).
From them we can dotormine tho various characteristic magnitudes characterising the oscillation c Maximum   vortical displacement Minimum prosnure ratio (Half) oscillation period and oscillation frequency The corresponding       values for the computation runs are listed in Table 1 ~
A survey of the calculations performed is given in Table 1, The variation of the pressure in the air bubble and the displace-ment amplitude of the water layer for a half oscillation period are illustrated for the various calculations in Figures 3-11.
A graphical evaluation       was performed in Figure 12.
From them we can dotormine tho various characteristic magnitudes characterising the oscillation c Maximum vortical displacement Minimum prosnure ratio (Half) oscillation period and oscillation frequency The corresponding values for the computation runs are listed in Table 1 ~
A graphical evaluation was performed in Figure 12.
2 13
2 13


l 3~ Discussion The frequency   is of primary intorost in connection vith the aLeasured pressure oscillations, since only through it is it pos-sible to confirm quantitatively the calculation results. tahe maximum pressure is an input quantity into the calculation> the 1
l
 
3 ~ Discussion The frequency is of primary intorost in connection vith the aLeasured pressure oscillations, since only through it is it pos-sible to confirm quantitatively the calculation results.
tahe maximum pressure is an input quantity into the calculation> the 1
vertical displacement of the vater was not measured.)
vertical displacement of the vater was not measured.)
The only 'arbitrary" input quantity into the computation model was the bubble's surface area F, which contained a hypothesis con-cerning the (cylindrical) shape of the air bubble. The influence of the corresponding parameter (it involves the parameter V /F) on the frequency therefore provides an indication of a possible quantitative- agreement between calculation and measurement. As follows fran Pigure 12a, such agreement- does acist for a relatively flat air-bubble shape with a diameter of                           II
The only 'arbitrary" input quantity into the computation model was the bubble's surface area F, which contained a hypothesis con-cerning the (cylindrical) shape of the air bubble.
            '7r KRAFTWERK UNION AG PROPRIETARY INFORMATION
The influence of the corresponding parameter (it involves the parameter V /F) on the frequency therefore provides an indication of a possible quantitative-agreement between calculation and measurement.
As follows fran Pigure 12a, such agreement-does acist for a relatively II flat air-bubble shape with a diameter of
'7r KRAFTWERK UNION AG PROPRIETARY INFORMATION


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This result io confirmed qualitatively by the observed rapid spreading of the air oxpelled Curing the blow-out.
This result io confirmed qualitatively by the observed rapid spreading of the air oxpelled Curing the blow-out.
The bubble's submergence h decreases during the oscillation process.
The bubble's submergence h decreases during the oscillation process.
Zt follows from Pigure 12a that this {as in the tests) is asso-ciated tCth a sharp increase of the frequency and therefore pr'-
Zt follows from Pigure 12a that this
{as in the tests) is asso-ciated tCth a sharp increase of the frequency and therefore pr'-
vides another confirmation of the correctness of the physical',
vides another confirmation of the correctness of the physical',
model. The maximum pressure p   {or the ratio p /p ) is fixed by the blovdown process 'and can only be changed by design measures.
model.
As expected, this quantity influences primarily the minimum pres-sure ratio and the maximum vertical displacement {Pigures 12b- and 2-lS
The maximum pressure p
: 4. Conclusion The purpose   of the study was to provide computational proof that the pressure oscillations occurring in the condensation tests are related to the amount of air expelled at the beginning of the blowdown.
{or the ratio p /p
A physical model was set up and calculated in accordance with the concept that the expelled air, which is at an overpressure relative ical bubble and to the steady-state conditions, forms a cylindrical represents an oscillatory structure together with the water layer lying   above it.
) is fixed by the blovdown process
Using   this simplified model and the measurable input magnitudes, and aswuaing a particular dimension of the cylindrical air bubble, both qualitative and quantitative agreement was found between the sLeasured and calculated oscillation mode and, the frequency behavior of.the oscillation was correctly predicted.
'and can only be changed by design measures.
As expected, this quantity influences primarily the minimum pres-sure ratio and the maximum vertical displacement
{Pigures 12b-and 2-lS
: 4. Conclusion The purpose of the study was to provide computational proof that the pressure oscillations occurring in the condensation tests are related to the amount of air expelled at the beginning of the blowdown.
A physical model was set up and calculated in accordance with the concept that the expelled air, which is at an overpressure relative to the steady-state conditions, forms a cylindrical ical bubble and represents an oscillatory structure together with the water layer lying above it.
Using this simplified model and the measurable input magnitudes, and aswuaing a particular dimension of the cylindrical air bubble, both qualitative and quantitative agreement was found between the sLeasured and calculated oscillation mode and, the frequency behavior of.the oscillation was correctly predicted.
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KRAFTWERK UNION AG PROPRIETARY INFORMATION 2>>17
KRAFTWERK UNION AG PROPRIETARY INFORMATION 2>>17


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        ~FX re 2 Calculated variation of pressure beneath the relief pipe (in the air bubble) - Reference case P
Druckverlauf unterhalb des Entlastungsrohres (in de>> Luftblase) - Referenzfal(
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Latest revision as of 03:04, 7 January 2025

Forwards Nonproprietary Versions of Kraftwerk Union Aktienglesellschaft Documents Transmitted 771228 & 780105. Responds to NRC
ML18031A117
Person / Time
Site: Susquehanna  
Issue date: 03/15/1979
From: Curtis N
PENNSYLVANIA POWER & LIGHT CO.
To: Parr O
Office of Nuclear Reactor Regulation
Shared Package
ML17138A531 List:
References
PLA, NUDOCS 7903150312
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TWO NORTH NINTH STREET, ALLENTOWN, PA.

18101 PHONE: (215) 821-5151 NORMAN W, CURTIS Vice President Engineering & Construction 821.5381 Mr. Olan D. Parr Chief Light Hater Reactors Branch No.

3 Division of Prospect Management U.S. Nuclear Regulatory Commission Hashington, D.C.

20555 SUSQUEHANNA STEAM ELECTRIC STATION NON-PROPRIETARY SUBMITTAL OF KWU DATA ER 100450 FILES 840-2p 172 PLA-327 DOCKET NOS. 50-387 50-~88

Dear Mr. Parr:

Transmitted. herewith are 40 copies of the non-propreitary versions of the twenty.Kraftwerk Union Aktienglesellschaft (KWU) documents transmitted wish our let ers of December 28, 1977 (PLA-207) and. January 5, 1978 (PLA-208) ~

This transmittal is made in response to your letter of April 28, 1978 regarding the witholding of the KHU proprietary documents from public dis-closure.

Very truly yours, N.H. Curtis Vice President-Engineering 8o Construction DFR/kes v903 1 503<+4.

PENNSYLVANIA POWER LIGHT COMPANY

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The attached document requires the following special cc:

DSB Files TTDC/DSB Authorized Si

as translated into ENGLISH

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CALCULATION HODEL TO CLARIFY THE PRESSURE OSCILLATIOHS Ii'3 THE SUPPRESSION CHAI'8ER AFTER VEiHT CLEARING N

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G ERHAN THE ATTACHED FILES ARE OFFICIAL RECORDS OFTHE DIVISION OF DOCUMENT CONTROL, THEY HAVE BEEN CHARGED TO YOU FOR A LIMITEDTIME PERIOD AND MUST BE RETURNED TO THE',RECORDS FACILITY BRANCH 016.

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FROM DOCUMENT FOR. REPRODUCTION MUST, BE REFERRED TO FILE PERSONNEL.

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RECORDS FACILITYBRANCH

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PROPRIETARY INFORMATION This document has been made NON-PROPRIETARY by the deletion of that information which was classified as PROPRIETARY by KRAFTWERK UNION AG (KWU).

The PROPRIETARY information deletions are so noted throughout the report where indicated by a)

Use of the term KRAFTWERK UNION AG PROPRIETARY INFORMATION.

b)

Use of blocked out areas by cross hatch bands in the report text and figures/tables, e.g.

iii) iv)

...." with a mass flow density ofQ~QBKg/m2s...";

~~ mm should be kept below ~ r ~ atm."

8/17/78

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gag TELEFUNKEN E 3/E 2-SI NUCLEAR REACTORS F

fthm, q 29 garch 1972 Dr. Mei/ru Report No. 2208 A'

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Classif ied s Class ZZ CALCULATION MODEL TO CLARIFY THE PRESSURE OSCZLLATIONS IN THE SUPPRESSION CHAMBER AFTER VENT CLEARING

/e/

/s/

Dr. Koch, E 3/E 2-SZ

Xanper, E 312

/e/

/s/

Dr. Neieehaupl/Schall E3/E 2

2-1

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Distribution list:

E 3/ V 4,-XVW (i2 x)

E 3 E 3/V

~ E 3/E E 3/R E 3/V4 E 3/V3 E 3/V X

E 3/V2 E 3/E 2 E3 /E 2-SI (3 x)

E 3/E i E3/R g

I 3/R i-AB 8 3/R i-ABS E 3/R 1-ABB E3/R 1

E 3/E 3 E (/E 3-VSF 8PbMokhek

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QONLDLSILZTY CLAUSE This roport ia baood on tho latost otato of acionce and technology as achievable by our boat offorts.

Zt makes use of the knovledge ond oxperionce of AEG

Hovever, AEG-TELEFUNKEN and all persons acting in its behalf make no guarantee.

Xn particular, they are not liable for the correct-

ness, accuracy and completeness of the data contained in this report nor for the observance of third party rights.

~ ~

AEG-TELEFUNKEN reserves all rights to the technical infozmation contained in this report, particdarly the right to apply for patents.

Purthor dissemination of this rcport ond of the Rnovlodge contained

'horoin aequiros tho eritton approval of ILES-TELEFUMKKX. Moreover, this rcport is ocemaudcatod indor the naaumption that it vill be handled confidontially.

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Table of contents Pacae Zntroduc tion 2-6 2 ~

2.1 2.2

2. 2.1 2 ~ 2 ~ 2 Oscillation of the air hubble - ttater mass system Equation of motion Perfonnance of the numerical calculation Data Parameter calculation 2"8 2-8 2-11 2-11 2-12 3 ~

Discussion 2-14 Conclusion Figures 2"16 2-18 2-4

To oxplain the periodic prcssure variations observed in KNW underneath the relief pipe of the suppression chamber and in QvH in the scram tnnk> a physical model is set up.

This model I

consists of the assumption that during the vent clearing process in the relief pipe the air cushion situated between the outflowing steam and the water slug is highly compressed

and, when it emerges frcca the pipe, begins to oxpand suddenly because of its over-pressure.

Zt is then compressed again by the pressure of the water mass loading it fraa above> etc., thereby creating an oscillation process.

.The oxcellent qualitative and quantitative agreement between the theoretical and oxperimental prcssure variations allows us to conclude that the obsorvod poriodic prcssure fluctuations can be doscribed by the assumod physical model of the oscillation of the system consisting of air bubble and water mass loading it from above.

2-5

I

1. Introduction Bofore the stcam 'braid'a produced during cloaring through the relief pipe, the vater slug situated in the pipe is first expelled, forming a highly comproased air cushion between the water "slug and the afterflowing steam.

Mhen that air cushion emerges from the pipe, it bogins to oxpand again suddenly in order to come into equilibrium with the surrounding pressure (vhich is composed of the pressure in the suppression chamber and the hydrostatic pressure)

The suppression chamber vater mass loaded hy the emerging air cushion ia driven upward until the influence of the gravitational force and of the underprevsure forming in the air bubble as time passes (which ia producod hy tho continued upvszd movosent of the water roaulting from the mechanical inertia principle) leads to a rovoraal of the pzocesa and the air hubble ia compressed again by dovnvard motion of 'the vater mass.

That is folloved by roneved expansion, otc., etc.

The air bubble - water mass system under consideration thus represents an oscillatory system vhose oscillation persists until the air bubble has risen to the vater's surface and breaks there or until the oscillation amplitude becomes negligibly amall due to strong damping and lateral outflow of the water that ia throvn upward.

In the following ve now aet up a highly simplified model of this oscillation procoas and compare the rosulta obtained from it with 2

6

the poriodic prcssure variations observed oxperinentally in KWW and in Qw8 [4].

fl) Rupp, Eismar, Pohl!

KWW <<Results of the relief valve tests with the special instrumentation.

AKG "E3"2l60

2.

Oscillation of the air bubble - water mass s stem 2.1 Eguation of motion To calculate the oscillatory bohavior of the air bubble and the water mass loading it from above, we make the foU.owing highly aimplified assumptions:

a) After emerging from the. relief pipe, the air bubble has the shape of a flat. cylinder (see Figure below).

Ac P>>

pK ~ pressure in suppression chamber o, Vi 7 b) The air bahMo does not xioo to the aurface of the water during the oscillation procoss (the influence of this process is taken into consideration by a parsmetriration of the air bubble's oubmergence).

c) The air bubble expands only in the vertical direction

{assuming a flat cylinder, the horizontal expansion is approximately negligible relative to the vertical oxpansion)

~

d)

The water mass lying above the bubble does not change its ohape during the oscillation process (thus, no water flows 2

8

away ).aterally during the lift, and no water flows in from. the

, side during the drop).

Prom the center-of~ss theorem we obtain the equation of motion of the water mass:

- (1)

The acceleration of the water mass m is maintained by gravitation, the pressure p of the air bubble on the water mass axnre it, anf the suppression chateau pressure pK.

x is the coordinate of the center of mass of the water mass, P is the boundary surface area between the air bubble and water mass.

Since the oscillation procoeds rapidly onough, we can assume an adicIbatic ohLngo of atato of the gas.

Theroforo, the relation between the instantaneous state (p, V, T) and the initial state (p

Vo< T ) which prevails immediately after the oxpulsion of the air bubble frcca the rolief pipe roads'or air, x The change of the gas volume from V to V corresponds

<<xactly to 0

the liftof the water mass.

Thus:

(3)

V s V

+ F ~ x, K

from which we obtain for the pressure frccn Eq.

(2):

2-9

I

(4)

If we now express the state variable V in terms of the state 0

variables p, V for the initial state of the quantity of aii a'

which is present before the beginning of the vent clearing process:

(5) then we get for the pressure p:

(6)

If we insert this oxpression into the difforential equation (1) we finally obtain for the oquation of motions (7) in which we have set m ~ pgh for the mass m of the water (p< is the density of the water, h is tho aubmorgonce of the air bubble).

E In this differential oquation of oocond order,. the variables p

hg F and Va appear as parameters (pa ~g kg/em e Pg ~ 4 kg/em

) ~

The oquation can be aolved roadily by a numerical me+cd (Runge-Rutta, Euler, otc.) and loads to the contormf~ss motion of the water mass as a function of timei x ~ x(t).

The dependence of the prcssure on time, p ~ p(t), can finally be determined from Eq.

(6) ~

2 10

2 2 Performance of the numerical calculation The input quantities in Eg.

{7) consist of measurable data Oaaximum pressure, normal nir volume) and cLlso of data resu1ting from the assumption of the calculated mode1.

In order to include quantitatively the effect of those calculation assumptions, parameter calculations vere performed starting from a reference cape

~

2.2.l Data The data for the reference case vere:

a) Initial pressure p

c corresponding to a moasurcmcnt of the maximum pressure b) Spocific troight of the eaters pg ~~~1 kg/m c) Hoight of the eater cashion hc h

The air bubble was assumea to be at the height of the end of the relief pipe.

Therefore, h + submergence of the relief pipe d) Surface area of the cylindrical steam hubble:

It was assumed that the stcam bubble expands cylindrically as far as the odge of the suppression chacnber.

Therefores 2 ll

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o) Normal air volume V s

The air volume in the relief pipe was determined in AEG-E3/

R2-2160 to be FXIYIYIYIX/Pili arith this data ve obtain for the constants The numerical evaluation was accomplished by using the Runge-Kutta method vith a time sharing system.

The result of the cal-,

culatioh is illustrated in Figure 2.

A comparison with the measured pressure variation {Pigure '1) roveals good qualitative agreement and thus provides the aought proof that the observed osciDations vere interpreted correctly.

Por a quantitative interpretation it is necessary to perform several: {parameter) calculations to exhibit the influence of the various influential parameters on the oscillation data.

2 ~ 2 ~ 2 Parameter calculation The &put quantities into the oscillation model are based partially on measurements and partially on assumptions concerning the shape of the air bubble.

To determine the influence of this "arbitrary" initial data, it ia necessary to perform a parameter calculation.

2 12

The following quantities were varied in the parameter calculation:

po Prcssure ratio of the blowout process pa h

c Distance of the air bubble from the water surface V

F This quantity represents a form factor, since, in",

addition to the known quantity V, it also contains an assumption concerning the spreading oi the surface area (cylindrical).

A survey of the calculations performed is given in Table 1, The variation of the pressure in the air bubble and the displace-ment amplitude of the water layer for a half oscillation period are illustrated for the various calculations in Figures 3-11.

From them we can dotormine tho various characteristic magnitudes characterising the oscillation c Maximum vortical displacement Minimum prosnure ratio (Half) oscillation period and oscillation frequency The corresponding values for the computation runs are listed in Table 1 ~

A graphical evaluation was performed in Figure 12.

2 13

l

3 ~ Discussion The frequency is of primary intorost in connection vith the aLeasured pressure oscillations, since only through it is it pos-sible to confirm quantitatively the calculation results.

tahe maximum pressure is an input quantity into the calculation> the 1

vertical displacement of the vater was not measured.)

The only 'arbitrary" input quantity into the computation model was the bubble's surface area F, which contained a hypothesis con-cerning the (cylindrical) shape of the air bubble.

The influence of the corresponding parameter (it involves the parameter V /F) on the frequency therefore provides an indication of a possible quantitative-agreement between calculation and measurement.

As follows fran Pigure 12a, such agreement-does acist for a relatively II flat air-bubble shape with a diameter of

'7r KRAFTWERK UNION AG PROPRIETARY INFORMATION

I I

This result io confirmed qualitatively by the observed rapid spreading of the air oxpelled Curing the blow-out.

The bubble's submergence h decreases during the oscillation process.

Zt follows from Pigure 12a that this

{as in the tests) is asso-ciated tCth a sharp increase of the frequency and therefore pr'-

vides another confirmation of the correctness of the physical',

model.

The maximum pressure p

{or the ratio p /p

) is fixed by the blovdown process

'and can only be changed by design measures.

As expected, this quantity influences primarily the minimum pres-sure ratio and the maximum vertical displacement

{Pigures 12b-and 2-lS

4. Conclusion The purpose of the study was to provide computational proof that the pressure oscillations occurring in the condensation tests are related to the amount of air expelled at the beginning of the blowdown.

A physical model was set up and calculated in accordance with the concept that the expelled air, which is at an overpressure relative to the steady-state conditions, forms a cylindrical ical bubble and represents an oscillatory structure together with the water layer lying above it.

Using this simplified model and the measurable input magnitudes, and aswuaing a particular dimension of the cylindrical air bubble, both qualitative and quantitative agreement was found between the sLeasured and calculated oscillation mode and, the frequency behavior of.the oscillation was correctly predicted.

2 16

KRAFTWERK UNION AG PROPRIETARY INFORMATION 2>>17

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