ML20153G415
| ML20153G415 | |
| Person / Time | |
|---|---|
| Site: | Cooper  |
| Issue date: | 08/17/1988 |
| From: | NEBRASKA PUBLIC POWER DISTRICT |
| To: | |
| Shared Package | |
| ML20153G335 | List: |
| References | |
| NED-84-055, NED-84-055-R01, NED-84-55, NED-84-55-R1, NUDOCS 8809080151 | |
| Download: ML20153G415 (19) | |
Text
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NEBRASKA PUBLIC POWER OlSTRICT f
SEL STARI DESIGN CALCULATIONS COVER SHEET Mechanical 64125-400.'
Unit No. Cooper Nuclear Station Discipline J:b No.
NED 84-055 Title Standby Gas Treatment System Calculatir;n No.
II LOCA Flow Analysis No.of Sheets John C. Branch /t'/* //ttk Reactor Building Prepared by Structure I
- f. N N /d2.th&
1 Standby Cas Treatment System Checked b System fem Ad *f"rf*
f My/
Standby Cas Treatment Unic Engineering Supervisor AdiW #ho/$
Component 1
NA Supersedes Calc. No.
. Stress reports shall be approved By Registered PE Calc.
Description:
The purpose of these calculations is to show, using analytical methods and experimental data, that the Standby Cas Treatment System will remain operable following a Design Basis Accident while the SBGT system is lined up to the N
dryvell through a 2 inch bypass line around the 24 inch purge isolation valve.
' O t
4 co i
Design Dasis or
References:
. n l
M See pages 10 and 11 for complete listing.
4 November 13, 1984 Third Party verification by Burns & Rod, Inc.
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N.R R D.
DF. SIGN CALCULATIONS SHEET 1
11 Account No.
64125-4005 Cole. No.
NFD 84-055 Sheet of I M-Date /#4{I/ Checked By N A WDate /6/N/N Prepare By Subject Seg6dbycasTreatmentSystemLOCAFlowAnalysis
Purpose:
The purpose of these calculations is tot 1.
Determine the worst case gas flow race through the Standby Gas Treatment System (SBGT) caussi by a Design Basis Accident (DBA) during which time the SBGT system is taking its suction frcm the dryvell via the 2 inch bypass line around 231 MV (24" inboard purge isolation valve).
2.
Provide data to show that the above gas f?sw will not damage the SBGT filters.
Assumptions:
F The following assumptions have been made for these calculations:
1.
The gas to be analyzed is a Steam-Nitrogen mixture.
g 2.
Gas flow is choked in the two inch bypass line.
!o N
3.
All gas energy losses due to the piping configuration are neglected and assumed to be zero.
4.
The 24" purge valve (246 AV) closes within 15 seconds as required by Technical Specifications.
CD 5.
The Steam-Nitrogen mixture reaches the SBGT filters almost i
M instantaneously.
In reality, there is approximately a seven second lag 1
between the onset of the accident and the time the Stean-Nitrogen mixture M
reaches the SBGT filters, but this time lag will be neglected for g
g conservation.
c 6.
The Steam and Nitrogen form a homogenious mixture inside the drywell.
I Scenario:
]
At the onset of the DBA, the SBGT system is lined up as follows:
(See Attachment A) 1.
306 MV is open (2" bypass around purgo valve 231 HV).
2.
Purge Valve 231 MV is closed.
4 3.
Purge Valve 246 AV is open.
4.
Purge Valve 245 AV is closed.
5.
Valve AD-R-1A is closed.
I t
l I
I C
m
N.R R D.
DESIGN CALCULATIONS SHEET Account No. 64,125-4005
-Cole, No.
NED 84-055 Sheet of-IA [bI Prepare By /andby Cas Treatmett System LOCA Flow Analysis Date ff Date Mi'/P S
Subject s
6.
One SBGT train is in operation with its exhaust routed to the Elevated Release Point (ERP). The other SBGT train is isolated in an auto-standby mode.
7.
The drywell is inerted with Nitrogen at approximately 1.4 psig and 150*F.
These are average values during normal plant operations.
The following things happen after the start of the DBA:
1.
The drywell temperature and pressure increase as shown on Attachment B (taken from the USAR) due to Steam being released into the drywell.
In approximately ten seconds, the dryvell pressure peaks at 62 psia and the r
drywell temperature peaks at 281*F.
2.
Within a few seconds after the start of the accident, the mass flow rate of the Steam-Nitrogen mixture reaches a maximum value dus to choked flow conditions in the two inch bypass line, o
3.
The second SBGT tiain fails to come on line within 15 seconds of the accident start.
Credit for additional flow area vill not be taken for
- N the sake of conservatism.
4.
Fifteen seconds after the start of the accident, the purge valve closes and the scenario is terminated.
This closure time is very conservative as surveillance tests show the purge valves normally close within
- x 5 seconds; however. Technical Specifications only require a 15 second i
closure time so 15 seconds will be used, i
'f9 I. Calculation of the Worse Case Volumetric F).sw Rate through the SBGT Train
!.*9 3
The drywell contains a homogenious mixture of Steam and Nitrogen.
'c Using Dalton's Law, the partial pressures of both gases can be found P = Total drywell pressure (psia)
D i
4 P = Partial pressure of the steam (psia) 4 3
P = Partial pressure of the Nitrogen (psia)
N P
(Dalton's Law)
(Eqn. 1)
D" S*
N
\\
N.R R D.
DESIGN CALCULATIONS SHEET 3
11 Account No.
64125-4005 Cole. No.
NED 84-055 Sheet of SM~-
/,35h Checked By /Ad.
Date /vr>r/ft Date Prepare By 4
Subject (tandbycasTreatmentSystemt.0CAFlowAnalysis 1
The partial pressure of the Nitrogen can be determined from the pre-accident state properties of the Nitrogen and the maximum post-accident drywell temperature.
PN1 = PD1 = Average drywell pressure during normal operation (psia).
TD1 = Average drywell temperature during normal operation
(*R drybulb).
TD2 " Maximum Post-accident drywell temperature ('R drybulb).
PN2 = Post-accident partial pressure of the Nitrogen (psia),
t V
"UP' D
M
= Mass of Nitrogen in the drywell (1bm).
N R
= Univercal gas constant for Nitrogen.
N Using the Ideal cas Law:
t-O N1 D"bN D1 N
P YD"bN D2 N2 Therefore r
PNI, g RN,PN2 CO T
Y T
D1 D
D2 P
xT NI D2 g
PN2 "
T (Eqn. 2) i D1 O
PN1 " (1.4 Psig + 14.7 psia) = 16.1 psia TD1 = (150 + 460)*R = 610*R TD2 = (281 + 460)*R = 741*R (USAR)
N2 = (16.1)(741), gg p
(610)
Using Dalton's Law:
PS2 = PD2 N2 (Eqn. 1)
-P PD2 " 62.7 Psia (USAR)
P
= 62.7 - 19.6 S2 PS2 " 43.1 Psia i
\\
N. R R D.
DESIGN CALCULATIONS SHEET II Account No.
64125-4005 Cole. No.
NED 84-055 Sheet'
_ of i
Prepare By MN Date /'Ir / Checked By ANd Date 10/11/?
/ //
SubjeC)
Standby Gas Treatment System LOCA Flow Analynft Using the above information and the Steam Tables, the post-accident Steam j
to Nitrogen mass ratio in the drywell can be founds l
M,
= Post accident Steam to Nitrogen mass ratio YN2 " S ecifi volume of Nitrogen in the drywell (ft*/lba)
P Y37 = Specific voluma of Steam in the dryvell (ft /lba) s I
pH2 - Density of Nitrogen in the drywell (ibm /fts) p 2 = Density f Steam in the dryvell (1bm/f ts)
S Using the Ideal Gas Law N2 D *bN D2 N2
- k
- 9 Y
(Eqn. 3, I'~1D N2 = 55.2 lb *R o
TD2 = (281 + 460)'R = 741*R 3
s PN2 " 19.6 Psia x 144 in fges = 2822.4 lb/ft8
) = 14.49 ft /lbm l
N2
- 22
)
8 V
N2 " I/Y I
9"'
p N
p
=.069 lbm/fts N2 M
Using the Steam Tables:
Compressed A.tr and Cas Data.
lED Ingersol).dand.
j j.o PS2 " 43.1 Psia j
i TD2 = 281 4 Therefore i
YS2 = 10.07 ft'/lbm 8
pS2 =.099 lbm/ft YN2 (Eqn. 5) i g
r S2 8/lben "r " 14.49 ft 3 10.07 fc /lbms l
M = 1.44 lbms/lben r
l
N.R R D.
DESIGN CALCULATIONS SHEET Account No. 64125-4005
. Cole. No.
NED 84-055 Sheet of-S Dole /y (M I
Prepore By / Standby Cas Treatment System LOCA Fbv AnalvainC Date lo/24h.'
~
Subject Determination of the maximum mass flow rate through the SBCT system The maximum mass flow rate through the SBCT system at PBA drywell conditions will occur when choked flow exists in the two inch bypass line. This mass flow rate can be calculated by the following equations i
Entineering Experimentation by s
(P O t
T mix Tuve and Domholdt (Eqn. 6) where:
j 4
= Mass flow rate of steam-Nitrogen mixture (1bm/sec) a A,
= Flow area at the choke point (in )
T P
= Pressure upetrsam of choke point (psia)
{
T p,g, = Density of Steam-Nitrogen mixture (1mb/fts)
Q
^N
.32 for Air (or Nitrogen) i C=
.30 for Saturated Steam
{
3'
.315 for Superheated Steam l
For conservatism. C =.32 vill be used.
C3 A
= (3.14)(1 in): = 3.14 ina (2" pipe) g P
=P
= 62.7 paia l
g T
D2 CD Dmix " 0$2
- EN2 p,g, =.099 +.069 O
p,g,=.168 lbm/ft:
& = (.32)(3.14)[(62.7)(.168))b
& - 3.26 lb/see x 60 sec/ min a = 196 lbm/ min
)
i p
N.R R D.
DESIGN CALCULATIONS SHEET 6
11 64125-4005 Cole. No. NED 84-055 Sheet o,
Account bh). dM Date /[t{h Checked By/A A Date M/Pf/f-l Prepare By f
Subject Soandby cas Treatment System LOCA Flow Analysis From the above data, a volumetric flow rate in standard cubic feet per minute can be calculated.
For the purposes of this calculation, the system boundary will be defined as follows:
Moisture Separator ITi Roughing Filter HEPA Filters 1
i l
P
= 62.7 psia 2"
P = 14.7 psia T
231 F il IA = Ambient D2 j
Dryvell t l Atmosphere s
g VD=a Choku V==
Point g
fn Carbon Filtet t
O System Boundary
?4 To simplify the analysis, several assumptions can be made.
og 1.
The dryve'.1 volume is infinite when ccapared to the volume of the SBGT train and piping.
This assumption allows use of the DBA F) dryvell pressure and temperature responses as shown in the USAR i
without altering them to compensate for flows through the SBGT IF7 trains.
O 2.
The volumetric flow race vill be calculated from the individual mass
- )
flow rates for standard steam conditions which vill be defined here as dry saturated steam at 14.7 psia.
This will allow comparison with the results of a 1962 study performed by DuPont Corporation, for the Atomic Energy Commission.
This study will bc discussed l
later.
3.
All flows through the system are adiabatic and energy losses through the system are neglected.
The assumption eliminates the need to l
evaluate a complex process involving heat transfer, mass transfer.
and possible two phase flow.
It should be readily apparent that a large amount of conservatism is cmbodied in these assumptions.
j To obtain the total standard volumetric gas flow rate, the volumetric j
flow rates of the Nitrogen and Steam will be calculated separately and then added.
I
N. R R D.
DESIGN CALCULATIONS SHEET Account No. 64125-4005 Cole. No.
NED 84-055 7
l1 Shed
(
I b^~
MIIN Checked By / h A 0 01o mA4A Prepare By Date
/ ff Subject MeandbycasTreatmentsystemLOCAFlowAnalysis Standard volumetric flow rate of the Nitrogen P = Standard Pressure (psia) 3 T3 = Standard Temperature ('R)
Y = Standard fpacific Volume (ft /lba) 8 3
Use the Ideal cas Law l
P N2 " N D2 (Eqn. 7)
N2
- 4 P Y=R T (Eqn. 8) 3 3 N S l
jt Therefore:
r O
]'N N2, % T I
D2 S,
D2 S (Eqn. 9)
R T P T P S
N 3 N2 3 N2 Knowing:
t0 r
VN2 = 14.49 ft /lba i
M l
.T
= 281 + 460 = 741'R lM D2 j,
T
= 212 + 460 = 672*R i
3 fa P
- II'0 P'I" N2 i
r P
= 14.7 psia f
3 V
II4I)II'*I)
N2
=.83
=
V (672)(19.6) 3 1
1 i
V
= 1.21 V 3
N2 I
Y
= (1.21)(14.49) = 17.5 f t*/lba 3
~
N.R R D.
DESIGN CALCULATIONS SHEET 0
Account No. 64125-4005 Cole. No.
NED 84-055 Sheel of-Prepore By [d Ado - I Date NI/I/ Checked By #Id Date /o/tsh4 SubjeCg StandbyCasTreatmentSystemLOCAhl'owAnalysis The mass flow rate of the Nitrogen can be determined from the total mass flow rate for the gas and the mass ratio M,.
= Mass flow rate of Nitrogen (1ba/ min)
M = 1.44 lba steam /lba N l
r 2
M = 196 lbm/ min i
l l
Therefore:
l l
i t
MN" M (IIN )
(Eqn. 10) r
\\
(1 + 1/M,)
O
% = (196 lbm/ min)(.69 lbmn/lba steam)
,O l
(1 lb steam +.69 lban)
N k=80lbn/ min t
The volur.ctric flow rate for the Nitrogen can now be calculated as to M
= Volumetric flow rate for Nitrogen (SCFM)
N (M
VN*MN a (Eqn. 11) i v = (80)(17.5) o y
i V = 1400 SCFM 3
Standard volumetric flev rate of the steam:
The specific volume for dry saturated steam at 14.7 psia ist Y = 26.8 ft*/lba (Steam Tables) 3 4
N. R R D.
DESIGN CALCULATIONS SHEET II 6.4125-4005 Cole. No.
NIO 84-055 Sheet of Account No.. dd N Date /l/$ / Checked By 8NA Date /oAMi Prepore By Subject j' standby cas Treattrent System LOCA Flow Analvnic The mass flow rate of the steam can be determined from the total nass flow rate for the sac and the mase flow rate determined for the Nitrogen.
M = Masa flow rate of steam (Iba/ min) l 3
l l
Ng = 80 lbN /"i" 2
1 M = 196 lbm/ min Therefore c
M
=M-M (Eqn. 12) 3 N
h'=196-80 l T4 I
M3 = 116 lba steam / min I
g The volumetric flow rate for the steam can ncy be calculated as:
V = Volumetric flow rate for steam (SCTM) 3 M
t Y
Vg=Mg 3 (Eqn. 13)
C V = (116)(26.8) 3
$f3 = 3109 SCnt The total volumetric flow rate for the gas mixture is then V = Total volumtric flow rate for mixture (ECTM) 7 V =VN*YS (Eqn. 14) 7 5'7= 1400 + 3109 l
V = 4509 SCFM T
l l
l l
i l
N. R R D.
DESIGN CALCULATIONS SHEET Account No.
64125-4005 Cole. No.
NED 84-055 pheet-of-dM Prepare By / Standby cas Treatment SysteDate hIfM Checked B Date dfAN Subject _
foC'AhlowAnalysis II. Discussion and Summary In 1962 the United States Atomic Energy Commission contracted with E.I.
du Pont de Nemours & Co. an experiment to determine the durability of certain carbon, particulate, and moisture separating filters when exposed to steam and air flow conditions (Contract AT(07-2)-1).
One aspccr of that testing was very similar to the problems confronted by this analysis.
A nuclear power surge was simulated which exposed the filtering media to a 7000 SCFM steam flow for a short duratiot..
In this test the gas flow (essentially all steam) was increased from 0 to 7000 SCFM in the first 10 seconds and then reduced to 0 SCIM in the next 15 seconds.
All of this flow passed through 4 sq. f t. of moisture separator area.
In the postulated scenario for CNS. the gas flow i
(Steam / Nitrogen mixture) increases from 0 to 4509 SCTM within a couple of i
seconds f rca the start of the accident and then abruptly falla to aero when the purge valve closes 15 seconds later.
In the CNS caso, all of i
che flow passos through 8 sq. f t. of moisture separator area.
The flow O
through 4 sq. ft. of moisture separator area would only be
'O y
1 N
through 4 fra MS area " '3 T
(Eqn. 15)
V 4 f,s =.5 (4509)
V s = 2254 SCTM 4 gg lM l
III. Conclusion
'M i
The 1962 tests conducted by du Pont Co. showed that if particulate and C
f carbon filters are proceded by properly designed moisture separator filters, the filter arrangement can handle a 7000 SCIN steam flow for a short duration without damage. The worst case flow postulated for CNS is lower than this value by a factor of 3.
Also the moisture separators used in the SBCT systen at CNS are the same model of filters that was recommended for use by the 1962 du Pont study.
In conclusion, this analysis has shown that the CNS Standby Cas Treatment System will remain operable af ter being subjected to 15 seconds of gas flevs resulting from a Design Basis Accident.
IV. References 1.
December 1962 study by E.I. du Pont Nemours & Co. for the U.S.
Atomic Energy Commission.
Contract AT(07-2)-1 Title of Study -
"Application of Moisture Separators and Particulate Filters in Reactor Containment."
-. m
N.R R D.
DESIGN CALCULATIONS SHEET Accouat No.
64125-4005
, Calc. No.
MED 84-055 heet f-o 8 ha D a t e
/,'/3f' Prepare By / Standby Gas Treatment System LOCA l' low AnalysisCheck d-Date 10/t#/k Subject -
2.
Cooper Nuclear Station USAR.
3.
Cooper Nuclear Station Operating Manual.
i 4.
Cngineerina Experimentation by Tuve and Domholdt. McGraw-Hill, 1966.
5.
Marks' Standard Handbook for Mechanteal Engineers. McGraw-Hill.
Eight Edition.
6.
Cooper Nuclear Station Contract E-69-3 Of f-cas and Standby Cas Filter Units.
7.
Telephone conversation between Mr. Albert H. Peters of du Pont Corp.
f and John C. Branch of Febrac,ka Public Power District Jaced I
October 17, 1984.
lO 8.
Drawing B&R 2022 (Rev. N20). Flow Diagram - Primary Containment j
Cooling and Nitrogen Inerting System.
9.
Drawing B&R 2037 (Rev. N17). Flow Diagram - H&V Standby Cas
].N Treatment & Off Cas Filters.
1
- 10. Drawing CVI Inc. A524-5901 Sheet 2 (Rev. C). Standby Cas Treatment Unit Assembly and Details..
,a
- 11. Drawing CVI Inc. A524-5901 Sheet 3 (Rev. B). Standby Cas Treatment Unit Assembly and Details.
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INFORMATION ONLY AD-R1C Eh MOISTURE SEPERATOR EMERGENCY SBGT FLO4 PATH i
I 3
)
PARTICULATE FILTER-Vg HEPA FILT ER -
CLOSED O
CARBON FILT ER-HEPA FILTER-h OM OM CLOSED j
AV AV Og OPEN e
o i,
AV AD-R-I B g 9 TO d h%d 3
12"
~
h@
ELEVATED
- 6 RELEASE I
POINT 2
BYPASS CLOSED SECOND SBGT TRAIN ISOLATED 36" O
CLOSED OPQI 23:
24c M v_
_AV_
24" bd b/'
-D@
l E
CLOSED E
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DR W ELL U
ATTACHMENT A SBGT FLOW PATH DESIGN CALCULATION NO. l NED 84-055 v,
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