ML20058M174
| ML20058M174 | |
| Person / Time | |
|---|---|
| Site: | Quad Cities |
| Issue date: | 04/03/1992 |
| From: | Schiavoni R SARGENT & LUNDY, INC. |
| To: | |
| Shared Package | |
| ML20058M143 | List: |
| References | |
| 8913-73-19-2, 8913-73-19-2-R, 8913-73-19-2-R00, NUDOCS 9310040053 | |
| Download: ML20058M174 (27) | |
Text
.
.)
SARGENTO LUNDY mxmy m.
184086 i
roumoco....
35 CAST MONROC STREET
.I caicroo, wwois so ca.sno i
S&L. Letter No. Q1443E i
April 10, 1992 J
Project No. 8913-73 Commonwealth Edison Company Quad Cities Station - Unit 2 l
Transmitttal of " Evaluation of DG 2 Cooling' Water Pump Cooler Fan A & B Minimum Starting Voltage Calculation"
^
W.O. No.: 'N/A Mod. No.:_ N/A System Codes:
N/A
~
i Mr. M. L. Reed h
Electrical /IEC Design Superintendent Commonwealth Edison Company Nuclear Engineering' Department 1400 Opus Place, Suite 400 Downers Grove, Illinois 60515
Dear Mr.~ Reed:
Enclosed is a copy of Design Input Transmittal (DIT) QC-EXT-0056 i
which transmits the following Sargent & Lundy calculation:
Calculation 8913-73-19-2, Revision 0, dated April 3, 1992,
" Evaluation of DG 2 Cooling Water Pump Cooler Fan A & B Minimum Starting Voltage."
The locations of the calculation purpose, methodology, assumptions, and any engineering judgements are referenced in the enclosed DIT.
Should you have any questions, please call me at (312) 269-6246.
Yours very truly, d
a R. M. Schiavoni Senior Electrical Project Engineer RMS:mco qdqc2672.ep In duplicate i
Enclosure - Addressee Only copies:
See page two t
l 9310040053 930923 U
PDR P
ADOCK 05000254 N.
ppg g
i
GARGENT & LUNDY E N GIN EERG CMicaGo Mr. M. L. Reed S&L Letter No. Q1443E commonwealth Edison Company April 10, 1992 Page 2 J
i, Copies:
BWR Systems Design Superintendent (H. L. Massin)
(1/1/0)
CHRON Systems (1/1/0)
Acting BWR Systems Design Supervisor (B. M. Wong)
(1/1/0)
Sitp Endineering Supervisor (C. A. Moerke)
(1/1/0)
Assistant Supt. of Work Planning (W. McGaffigan)
(1/0/0)
R. H. Jason T. J. Ryan (1/0/0)
E. Schumacher/ File (1/0/0)
S.
Z. Haddad (1/1/0)
(1/1/1) f 2
i.
I L
i 6
l I
184086 ISARGENT & LUNDY ENoFEERs DESIGN INFORMATION TRANSMTITAL X
SAFETY-RELATED NON-SAFETY-RELATED DIT No. - OC-EXT-0056 Page I
of I
CLIENT Commonwealth Edison Comnany To M. L RW STATION Ouad Cities UNIT (S) 2 PROJECT NO(S) 8913-73 SUBJECT Trandmittal of Calculation 8913-73-19-2. Rev. O. Dated 4/3/92 " Evaluation of DG 2 Cooline Water Pumn Cooler Fan A & B Minimum Startine Voltace."
l MODIFICATION OR DESIGN CHANGE NUMBER (S) N/A R. M. Schiavoni EPED
/
[e Mi Z PREPARER (PLEAsE PRINT NAME)
DIVIsloN FREPARER's SIGNATURE issue DATE STATUS OF INFORMATION (This information is approved for uns. Design infonneuoa, approved for uns, that consains assumpuoes or is prelinunary or requires further verification (review) shall be ao idemi6ed.)
This infonastion is approved for use. One assumption used in the calculation Ifsted below requires verification.
This information is provided in accordance with the tenus and conditions of the service agreement / contract between Sergent & Ltsidy ($4L) and its client governing the associated services. With respect to any third party use, S&L does not asstane obligation to sold third party es to the occuracy, completeness, usefuttness, or noninfringine nature of such information.
IDEPfrIPICATIoM OF THE SPBCIPIC DRS80N MPORMA110N TRANastTED AND PURPOSE OF BEUE (IJag any supporung documents ansched to Drr by its title, revianon and/or issus date, and total number of pages far each supporting documsn.)
" Ibis DIT transmits to Commonwealth Edison Company (CECO) the following calculation:
Calculation 8913-73-19-2, Rev. O, dated 4-3-92,
- Evaluation of DG 2 Cooling Water Pump Cooler Fan A & B Minimum Starting Voltage."
The purpose, methodology, and assumptions can be found in the following calculation sections and pages:
Purpose:
Section II, page 3 i
Methodology: Section VI, Page 8 i
Assumptions and Engineering Judgements: Section IV, Pages 5 and 6 Comparison of Results with Acceptance Criteria: Sect:on VIII, Page 20 i
_j l
is
?
source OF INFORMATEON i
l Calc. No. 8913-73-19-2 0 4-3-92 a, port No.
N/A a,v. and/or da.
a v. and/or dai.
Other
~
1 smustmoN See Letter Qi443E, Dated April 10, 1992 o
~ Form OQ 3.17.1 Rev. 2 9
- r..-
Id4086 Calc. For Evaluation of DG 2 Cooting W2ter Puno Cooter Cele. no. 8913-D-19-2 llSARGENT&LUNDY g.
- Dete.;b[g1 ren a a e mini a startine vattese aw o r i X
Safety-Retsted man-Sofety-teteted
~
Page 1 of 24 Client Connenweet th Edison Conceny s'
~
Date b,~2-Prepared ter /(W'd ; / // ',.e e *- -
/
Project Quod Cities Unit 2 Reviamed ter M
[f/
Date4[3[92 Proj. no. 8913-D Egsip me.
Approved ter A___
( /,[ k,ete Date 4,7 r 7
I. REVISION
SUMMARY
AND REVIEW METHOD A.,
EVISION
SUMMARY
Revision 0, First Issue, Pages 1 Through 24 i
i 1o a l
=
o e
p 4
mmvoewn.w.ve -
s mewes,.uw nwm
,,wy v%.
y,,
yg,,,
L U 4 V 0 0~
Calc. For Evaluation of DG 2 Cooling Ust$r Puup Cooltr Calc. so. 8v13-73-12-2 l SARGENT& LUtOY. lI ren a s a mininun startine vatt.ee eev. o o.te ENG#EERS d X
Sefety-selsted son-Sofety-Related Pese 2 of 24 Clisnt Consonwealth Edison Company Prepared try -
Date Project Quod Cities Unit 2 Reviewed try Date
.l Pro). so. 8913 73 Egrip. so.
Aggrowed tpy Date B.
METHOD OF REVIEW l
i LOA CALCULA'I' ION F.EVIEW CHECKLIST TYPE OF CALCULATION X Hand-Prepared Design. Calculation Only
- D Computer-Aided Design Calculation only O Both hand-Prepared and Computer Aided Design Calculation i
)
Y lFOR HAND-PREPARED DESIGN CALC FOR COMPUTER-AIDED DESIGN CALC t fcheck the acerceriate itemsi fcheek the amorocriate itams1' X Detailed rev! w of the O A review to determine if the engineering design l
original ca?
.iation, and analysis computer prograP s) used have been:
validated and documented and hat the
[Q Revisw by an alternate, calculation, regardless of tt a program i
simplified or approxime.se used,contains all the necessary documentation method of calculation, for reconstruction at a later date.
t (MUST BE PERFORMED)
.O Review of a representative sample of repetitive D A review to verify that the computer program isi 1
calculations, suitable to the problem being analyzed.
(MUST BE PERFORMED)
D Review of the calculation against a similar calculation O A review to determine if the input data as previously performed.
specified for program execution.is consistent j
with the design input, correctly defines the problem for the computer program algorithm and is sufficiently accurate to produce results.
within any numerical limitation of the program.
(MUST BE PERFORMED).
O A review to verify that the results obtained from the program are correct and within stated' assumptions and limitations of the program and a
are consistent with the input.
j (MUST BE PERFORMED) s.
O validation documentation for temporary changes,
to listed programs or developmental programs ori unique single application programs shall be reviewed to assure that methods used adequately; validate the program for the intended spplication.
}
(WHERE APPLICABLE) i REVIEWER:
hM
.3/f2 DATE:
104006 Cate. For tvalt.stion cf DG 2 Cooline Wat r Ptro Cooter Calc. me. 8913-73 19-2 li SARGENT& LUNDY !l r.n a a a minian startine vattese new. o Date I'
ENGitEERS d X
Safety-Related man-Safety-Related Pope 3 of 24 1
Client Conrenwealth Edison Conveny Prepared tur Date Project Quod Cities Unit 2 Seviensed tpr Date Pro). he. 8913'-73 EgJip. 50, apprtud tpr Date l
II. PURPOSE / SCOPE o
A., Purbose.
The purpose of this calculation is to demonstrate that the DG 2 Cooling Water Pump Cooler Fan A & B at Quad Cities Unit 2 will start with minimum voltage of 75% of the motor rated voltage at the motor terminal without tripping its protective device or exceeding its thermal capability limit.
i B.
Scoce 1
Th'e scope of this calculation is to determine the motor starting i
i time at 75% of the motor rated voltage, the thermal overload heater minimum tripping time and the motor thermal capability limit.
j l
G d
/
i 4
-.~._ _ _ - ~ ~.-~~.- -
.-~n-,., -. - -.- -.~ ~,~.- -,- -~
.n. u 4 v 0 0 Calz. For Evaluation sf DC 2 cooling wat:r Pue Cooter cate. me. 3913-73-1;-2 l
ren A a s minian starting vattese new. o Date SARGENT& LUNDY ld ENG#EERS 1
x Safety-Retsted Barr$afety-Related Page 4 of 24 Client Cormonwealth Edison Conpany Prepared by Date Project Quad Cities - Unit 2 Reviewed by Date 4
Proj. ho. 8913 73 E wip. me.
Approved by Date III.
, INPUT DATA Motor # Data Reference Assurnetion HP...............................:
1.5 XI.7 NEMA class.......................:
B IV.A.1 RPM....,.........................:
1740 XI.7 Full load current................:
2.5 XI.7 Rated voltage....................:
460 XI.7 Frame............................:
145T XI.7 Locked rotor torque (% of FLT)...: 250 XI.1 IV.A.1 Pull-up torque (% of FLT)........:
175 XI.1 IV.A.1 j
Breakdowntorquef%ofFLT)......:
280 XI.1 IV.A.1 2
Motor inertia (WK )-lb-ft.......: 0.1 XI.6 IV.B.5 2
2 Load inertia (WK ) -lb-f t........ : 4.0 XI.12 IV.B.4 i
Thermal overload Heater Manufacturer.....................: GE XI.8 Size.............................:
C301A XI.8 Ampere range.....................:
1.99-2.15 XI.5 S
s
.g s
C 4
~_,_____,._._,,__.m.,_____.,_,__-
184086 Calc. For Evetuation of DG 2 Cooling ttster Pg Cooter Cate, me. 3P13-73 19 2 -
el SARGENT& LM li son a a a mini.,startine vetteee new.'o oote r-same U X
Safety-taleted non-Safety-Related Pese 5 of 24 C1(ent conssonwealth Edison Congeny Prepared tsy oete projaet Dund cities - Unit 2 tevleued hr oote l
3 proJ. me. s913 73 E.,ip. me.
aper ed i,r oat.
1 IV.
ASSUMPTIONS
.,A. Issn=ntions Requirina Verifications i
- 1. It is assumed that ~the motor being analyzed in this calculation is NEMA class B motor.
'A verification of I
this assumption is required.
{
5 e
i S
I i
i k
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-l 3
i i
i j
~
/
t
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' i we-ww-==
v.-.
. = -
_.. -uy,
s
,w,
,% my,
,,w
,,,,,,,,,,m.y,_,,..
,104086 Cats. For Ev:tuation of DG 2 Cooling Wet r Ptsm Cooler Cate. bo. 8913-73-19-2 h SARGENT& LUNDY l r n A s a mini = = starting vattee.
Rev. o care e
es e L X
Safety-Related man-Safety-Related Pope 6 of 24 Client Corrmonwealth Edison tormany Prepared by Oste ProJoct Quad Cities - Unit 2 Revisued try Date
's Proj. no. 8913-73
[wip. so.
Approved tyr Date i
IV.
AS$UMPTIONS (continued):
B:. Aesumptions not Recuirinc Verification:
1.
It is assumed that the motor full load power factor is 85%, efficiency is 90%, and the locked rotor current is 625% of the full load current. These values, which are typical for 460 V rated voltage power plant motors, are utilized in conjunction with the minimum torque constraints of NEMA class B requirement to develop the motor speed versus torque curves. Since minor variations in the above values have a relatively small impact on the speed versus torque curves, no special verification is required.
- 2. It is assumed in the development of speed versus torque curves that the pull-up torque occurs at the 50% of full load speed.
This assumption conservatively reflects typical 1
460 V power plants class B motor designs and need not be separately verified.
- 3. Speed versus torque curve for the fan is developed using the formula taken from reference XI.3. This speed versus torque curve is typical for power plant 460 V motor fans and need not to be verified for the motor analyzed in this calculation. For additional discussion see section VII.A 2
- 4. It is assumed that the inertia (WK ) for the fan is 2
equal to 4.0 lb-ft.
This assumption is reasonable and conservative based on reference XI.12.
A verification of this assumption is not required 2
- 5. It is assumed that the inertia (WK ) for the motor is 2
equal to 0.1 lb-ft.
This assumption is reasonable based on reference XI.6.
Furthermore, any minor variation in it does not affect the result since the fan WK2 is predominant factor. A verification of this assumption is not required O
r
~w.., nwn, w wwr w~n sws, vu.w wy, u mm,.u, w
,ew
+..m,.,.
m.,,._.
s.,y,.,,y,,,_,,,,,,,,m.,,,...,ym
10 '+ U d 6 Calc. For Evaluation of DC 2 Cooling Water Pwo cooler cate, so. 8913-73-13-2 i
[ SARGENT& LUNDY f.n a a a minin a st rtins vett.o.
a.o o.t.
ENGitEERS
~
X Safety-Retsted man-Safety-Retsted Page 7 of 2 Citantionnonwestth Edison Conpany Prepared by Date Project Quod Cities Unit 2 teviewed by Date Pro). 50, 8913 73 Eg. rip. so.
Apprwed by Date V.
ACCEPIANCE CRITERIA I
~
The motor starting voltage (75% of rated voltage) is considered acceptable if the following conditions are met:
- 1. The motor starting time is less than the thermal overload heater minimum tripping time.
- 2. The heater maximum tripping time does not exceed the motor thermal capability.
- 3. A minimum of 25% (based on motor load torque) margin between the motor torque and load torque shall be maintained during the acceleration period.
I l
1
-l l
1 C
1
\\
l s
\\
s
~wwww.v
-__w
,mwa.,,,ww
__,wm,,,,,,,_%%,,_,g,,,,,__
.:. v t v v 0 Catc. For Ev tuation tf DG 2 Cooting wat:r Pwp cooter cate. me. 8913 73-19-2 lSARGENT&LUNDYl Fan a a a mini = = starting vatt.ge new. o Date
^
ENGEERS X
Safety-telsted Ecri-Saf ety-tet sted Page 8 of 24
{
Client Carmonweetth Edf son Cc.1ceny Prepored tpy Date i
Project Quod cities - Unit 2 Revisued tur Date l
Prof.5o.891$73 Equip. Do.
Approved try Date 4
VI. METHODOLOGY A. The itinimum motor locked-rotor, pull-up and breakdown torque
/in percent of full load torque is taken from reference XI.1 for class B induction motors.
B. Using the above t'orgue data and assumptions VI.B.1 & 2, conservative motor torque versus speed curve for the DG 2 Cooling Water Pump Cooler Fan A & B motor will be developed as shown in section VIII.A C. The equation relating fan torque to motor / fan RPM is taken from reference XI.3.
2 D. The total inertia (WK ) for fan is taken as the sum of the 2
2 fan WK and the motor WK,
E. The method outlined in ESC-307 (REF.XI.4), for calculating motor accelerating time will be used to calculate the accelerating time at the minimum expected motor starting voltage.
The starting time will be compared against the time-current characteristics of the thermal overload heater to show if the motor will start before the protective device trips, and without exceeding the motor thermal capability.
F. A margin of 25% between the motor torque and load torque during the acceleration period will be conservatively i
considered acceptable to start the motor (Ref.XI.11) l i
t 13 f
=
e J
i i
c._----.._.__.___.,_.,_.
i i
B 164086 Calc. For Evstuation of DG 2 Cooting ester Puw Cooler Cate. me. 8913-T3 17-2 l
SARGENT& LUNDY t
son a a e mini = startine vatteee nov. o note ENGNEERs J K
Sofety-teleted Ben Safety-Reteted Page 9 of 24 1
l_
Clf ant Consnonweetth Edison Conpeny Prepared tur Bote Project Quod Cities - Unit 2 Soviewed tur Date
)
ProJ. no. 8913-73 Ecpip. no.
Approved tur Date
-l
. l i
VII. CALCULATION AND RESULTS I
A. MOTOR AND LOAD TOROUE VS SPEED In this part of the calc'ulation we will develop the motor and load torque versus speed curve based on the available data and assumptions outlined earlier.
The curve developed is used to determine whether adequate accelerating torgre exist by-calculating the starting time e The equation used to develop the load torque vs speed for a fan is taken from reference XI.3 T **JRPM) = 5252.11x fu11-1 ad hp j RPM 3
3 f,yg full-load RPM \\ full ~1Oad-RPM, t
- The equations used to develop the motor speed vs torque using the minimum motor locked-rotor, pull-up and breakdown torques (Ref XI.1) and assumptions VI.B.1 & 2 are taken from reference XI.2
./
Y t
I(slip) =
Zegslip) i l
pf(slip) = cos(arg(Zetslip)})
i i
r (slip) y 0.7373, x 3xv'x 82IP
=
Rslip) =
a
'a '
r,(slip) * {Xa+X,(slip))3
\\
Ra+
+
. l C
a e
i
/
e
!s,_-.__,________._,_,__._
i
10 '+ U 0 6 Calc. for Evaluation of OG 2 Cooling t'atse Purro Cooter Calc. no. 8913-73-19-2 SARGENT& LUNDY Fan A & B Mininun Starting Voltage Rev. 0 Date ENGNEERS X
safety-Related am-Safety-Related Pese 10 of 24 Client Consnonwealth Edison Conveny Prepared tur Date Project Quod Cities Unit 2 Revleund try Date
. g Prof. 5o. 8913-73 Eculp. no.
Approved try Date i
VII.
CALCULATION (continued):
The full load torque (FLT) is calculated using the following equation FLT = 5252.11 x EP
~
Fu.11 Load Speed 1.5 FIT = 5252.11 x
= 4. 53 ft-lb 1740 l
The values of equivalent circuit parameters of an induction motor are obtained by minimizing the errot between the calculated and the available or typical values of torque, i
current and power factor with respect to slip.
i The equivalent circuit used to model a specific induction motor takes in to account the variation of rotor resistance and rotor leakage reactance as a function of speed. This variation of rotor resistance and rotor leakage reactance are accounted for by defining piece wise linear multipliers CRs, and CXs for rotor resistance and rotor leakage reactance respectively.
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a r
..vu ePeuwm.v-'e---
rc rN -<gw-u.Movwi=gyc AvfA Av.ve my.gwppp-pf
.,-w<,f.vag,
.y.
%w, A..wej,- y y,cv wsp yg g,, j
~
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Cet::. For Evolustion sf DS 2 Cooline watzr Puup Cooler Calc. no. 8913-73 19-2 l
SARGENT& LUNDY Fan A a e Mini = = stu tine v:it ew. O nats -
sweseERS,.
l 3
X
' Safety-Related een-Safety Related Pope 11 of 24 Client Comnenaealth Edison company Prepared tur' Date Projact Quod Citiee Unit 2 Gewisued tur Dete Proj. No. 8913-73 Essip. no.
Approved nur Date,.
- r..
.. a.4 I
i i
VII. CALCg1AT!QW (continued):
I
[D G 2 C *> 0 L I N G WATER PUMP COOLER FAN A & B i-
.s.............
5 l
KVA = KVA of the motor 5
V =
Motor voltage l
Sy_s
= Rated Speed of the Motor I
j R1 = Stator resistance X1 = Stator reactance t
R2
= Rotor resistance l
X2 = Rotor reactance 2
j RM =
Magnetizing resistance f
XM =
Magnetizing reactance I
ei 460 l
s V :=
sy s := 1800 IFLC := 2.5 VA := 3 V !FLC
.1 3 3 FLT := 4.53 FL5 := 1740-5 i
, ?
.i V
VA J
Z8ASE :=
KVA :=
ZBASE 106.232 KVA s' 1.992
=
l j
IFLC 1000 3
5 i
r1 := 5.544' r20 := 3.876 re := 14600
')
k i
x1 := 10.395 x20 := 15.474 an := 300 ti CR'
- = 1.0 CX
- = 1.0 CR
- = 1.02 CX
- = 0.925 l
t 1
1 1
2 2
s l4 CR
- = 1.06 CX
- = 0.9155 CR
- = 1.105 CX
- = 0.74
(
ja 3
3 4
4
.r 1
CR
- = 1.75 CX
- = 0.5 st
- =
-1.0 3
.f 5-5 0
f l
44
- = 0.0 st
- = 0.06 st
- = 0.55 st
- = 0.7 at-
- = 1.0 j
1 2
3 4
5 l
g a
f I
- M.m ^
P
'r
4 LO4U60 Calc. For Ev31ustion cf DG 2 Cooling Water Pg Cooter Calc. me. 3913-73-17-2 SARGENT& LUNDY' ren A's minina startine voltese esv. O Dete ENGIEERS X'
safety-Retsted ten-Safety-Reteted Page 12 of 24 Client Comunanweetth Edinan Cangaeny Prepared tur Date Project Gund Cities tJnit 2 Revisued toy Date
+
1 a,
Proj. no. 8913 73 Ec#fp. 5o.
Approved tur Date I
l o
VII. CA)CULATION (continued):
J r1 x1 r20 x20 ripu :=
x1pu :=
r20pu : =
x20pu :=
2 BASE ZBASE ZSASE 25ASE l
re am ripu
= 0.052 x1pu
= 0.098 j
l repu.:=
xapu :=
r20pu a 0.036 x20pu 0.146 e
28ASE Z8ASE repu =
137.434 mapu =
2.824 I
t cr(s) := tinterp(st,Ct.s) cats)
= tinterp(st,CX,s) j l,
l 2 r sy_s
$ (ds :=
60 r2(s)== r20 cr(s) x2(s) := x20 cats) 1
.i Calculate Thevenin quantities 4
a i
s i
i i
Zth :=
-s i
1 1
1 i
j
+-+
l l
r1 *
}
n1 re
)
=sa i
1 Rth := Re(Zth)
Xth := Im(Zth)
Ze :=
f 1
1 i
(
re j
me j Z1 := r1 *
(J x1)
Ze 2
Vth :=
V-V1 := lVth l
~
't i
.Z 1 Z m, j
4 i: Calculate speed dependent quantities s
O i
i 1
l
'r2(e)
]
Z2( )
j j Z2(s)==
+ (J x2(s))
Zeq(s) : = 21 +
Za-l
, s Za + Z2(a),
i V
l I(s)
=
pfts) := costerg(Zeq(s)))
- j
[
Zegts) j
)
~
' {'
c N
h I
n
F 104U00 Calc. For Ev2Lustion of DG 2 Cootira water No Cooter cate. me. 8913 73-11-2 SARCaENT& N Y F.n A a a esini.u. st.rtin, voit.,e now. O o.t.
ENGsEERS-X Safety-Related Bert-Sefety-Related Pese 13 of 24 Client Consnonweetth Edison company Propered tur Dete Project Oued Clties Unit ?
Revleued tur Date Pro). no. 8953 73 Eerip. me.
Assroved tur Date 4
/
CAttuLATION VII....l..........(continued):
/
/
~
r2(e) 2 s
3 v1 -
2 r2Cs) 2 Rth +
+ (Xth +
m2(s))
'.7373' T(s)==
~
s
~
, hh FLT i
}
p.
speed speed j Torque (speed)== T 1
Current (speed) := I 1
8Y s,,
t
,$y,s
?
speed j P_f(speed)
= pf 1
.I Y s,,
'-t I
m_date := READPRN(data) 0 15.6
-0.359 11.3 j
870
-10
-0.51 7.9 (MOTOR DATA FROM REF XI.1) m_dete
=
1566
-3 0.8 12.6
'4
+
~
1740 2.5 0.85 4.5 4
i l
<0>
<1>
<2>
<3*
Y j sp :=
m_ data eu := m,dste op_f :=
m, data at := m_deta i
r, c
j i := 0,1..(rows (m. data) 1)
t' -
et t
1' i
I i
z e
g sp forque sp cu Current sp sp f P,f sp s
i FLT I
I I
I I
I g
0 2.494 2.501 15.6 12.246
-0.359 0.553 s
f 870 1.744 1.773
-10 9.735 f
1566 2.781 2.78
-3
~
-0.51 0.469 6.247
-0.8 0.779 l
3 1740 0.993 1.277 2.5 2.309' O.85 0.859 s
1
?
-j
= -
4 l
4
c_
- Au.xn i
r 4
w w -
Cate. For Evaluation of DG 2 Cooling W2tsr Pm Coolsr Cate. me. 8913 73-19 2
. g SARGENT& LUNDY :i Fan A a mini ue ster ine vetta,e Rev. O Dete ENGNEERS d I
X Safety-Related non-Sofety-Related Page 14 of 24 li h
Cilent Comenonwealth Edison Congeny Propered tur Date i
Project Quad Cities Unit 2 teviound br Date f
ProJ. me. 8913-73 i, ' E gip. no.
Approved tur Dete I
r VII. CALC, LATION (continued):
....p....................
Load Tor'que Equation in P.U (Fan):
't
. speed LT(speed) :=
I
.FL5.
I := 1,2. 100 s
- = 0.01*l Speed
- = S y,, s a 't
~
s l
i f
- i
~
i ~
l k := 0,1
..(rows (m date) 1)
s 460 4
y :=
s i,
t (TOROUE IN P.U) s 3
}
i si 3
1 1
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MOTOR AND LDAD TOROUE (FAN) VS SPEED AT 1001 0F THE MOTOR RATED VOLTAGE i
+
4 -
k
~~~---w.-,.-.~.-
., _ _ _ ~ _ _. - _, _, _,
184086
~
Catz. For Evaluation cf DS 2 Cooling Watsr Puy Cooter Cate. so. 8913 73-19 2 6.
l SARGENT& LUNDY r.n a a a minin a st rting vattese sev. o o.te ENGREERS X
tafety-telated man-$afety-Related Pope 15 of 24 Client commonweet th Edison Company Prepared try Date Project Quad. Cities - (Jnit 2 Reviessed tur Date Prof. No. 8913-73 Ecpip. 5o.
A p rtyred tyy Cate VII.
CA$CULATION (CONTINUED):
I B
ACCELERATICN TIME REOUIRED TO START THE MOTOR The longest starting time will occur at the lowest expected motor terminal voltage because less torque is available to accelerate the load.
The acceleration time required to start the motor using the minimum starting voltage at the motor terminal will be calculated in the following tabulation.
Column No. 1 - beginning of speed interval in percent of full load rpm.
Column No. 2 - beginning of speed interval in rpm (Col. No. 1 times full load rpm)
Column No. 3 - end of speed interval in percent of full load rpm l
Column No. 4 - the magnitude of speed interval in rpm Column No. 5 - torque output by motor (Tm) during the rpm increment expressed as a percent of motor full load torque at 100% voltage, read from the motor torque vs speed developed in section VIII.A of this calculation Column No. 6 - motor torque output in ft-lb at 100% voltage (Col. No. 5 times motor full load torque)
~ Column No. 7 - motor torque output in ft-lb at the motor minimum starting voltage (Col. No. 6 times the square ratio of the min. staring voltage divided by j
unity - 100% voltage)
Column No. 8 - load torque in percent of full load torque read from the load torque vs speed developed in section VIII.A of this calculation.
j Column No. 9 - load torque in ft-lb (Col. No. 8 times the full load torque)
Column No.10 - net accelerating torque in ft-lb (Col. No. 7 g
minus Col. No. 9)
Column No.11 - time to accelerate through speed interval - this column is calculated using the following formula (REF.V.7) i i
2 (ARPM)x(WK )
t=
(3 0 8)x T,7 t
J ww.. ww smn wr
.ns,
,,,,_,asaw,,_.,
.L o '+ U O O Calc. For Evaluation cf DG 2 Cooling Wat r Ptmo Cootcr cate. me. 8913-73-19-2 SARGENT& LM ren A a e minimum startine vett n.v. o 0.te ENG#EEERS X
safetr eetated mert-safety-metated Pope 16 of 24 Client Consenwestth Edison Conpany Prapered tur Date Unit 2 Rowlaumd tur Date Project Quad Cities a
Pro), 5o. 8913-73 Equip. 50.
Apprtpred ter
- Det, i
VII.
CALOULATION fCONTINUED):
where t = accelerating time in seconds Arpm = change in rpm (Col. No. 4)
Ty = net accelerating torque in ft-lb (Col. No. 10) 2 2
WK =-total inertia in lb-ft (Ref.XI.6 & 12 and
~~
Assumptions IV.B.4 & 5) l i
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U Cate. For Evaluation of DG 2 Cooling Water Pwp Cooter Calc. No. 8913-73-19-2 I
SARGENT& LLM)Y ren a a a mini ue startino vottese Rev. o oste ENO M UIS
{
x safety-seleted non-Safety-tet sted Pese IT of 24 Citervt Consmrwealth Edison Company Prepared ty Date Project Gund Cities - Unit 2 Reviewd by pote Proj. No. 8913-73 Ecysip. No.
Aggrowed ty J
Date TIME angolamo To stamT Tum Do 2 coor.IMo MaTEm rumsr coorma ran a s, a e 75% TOLTaon n OF IMITIAL SPEED G SPEED MOTOR MOTOR MOTOR IAAD LOAD NET TIME TO FULL BPRED THE END INTERVAL FULL LOAD TORQUE TORQUE FORQUE TORQUE ACCELERATING ACCELERATE LOAD (RPM)
OF (RPM)
TORQUE IN t IN lb-ft IN lb-ft IN t IN TORQUE TEROUGH BPEED BPTED INCREMENT S 100% V 9 100%
9 75%
OF FLT lb-ft (1b-ft)
INTERVAL (SEC)
(1)
(2)
(3)
(4)
(5)
(6)
(7)
(8)
(9)
(10)
(11) 0 0.00 87.00 87 245.00%
11.10 6.24 0.00%
0.00 6.24 0.19 5
87.00 174.00 87 232.50%
10.53 5.92 1.00%
0.05 j5.88 0.20 10 174.00 261.00 87 220.004 9.97 5.61 2.00%
0.09 5.52 0.21 15 261.00 348.00 87 215.00%
9.74 5.48 4.00%
0.18 5.30 0.22 20 348.00 435.00 87 207.00%
9.38 5.27 5.00%
0.23 5.05 0.23 25 435.00 522.00 87 190.004 8.61 4.84 7.50%
0.34 4.50 0.26 l
30 522.00 609.00 87 188.00%
0.52 4.79 11.00%
0.50 4.29 0.27 35 609.00 696.00 87 185.00%
0.38 4.71 15.00%
0.68 4.03 0.29 40 696.00 783.00 87 182.004 8.24 4.64 19.00%
0.86 3.78 0.31 45 783.00 870.00 87 187.50s 8.49 4.78 23.00%
1.04 3.74 0.31 50 870.00 957.00 87 200.00s 9.06 5.10 30.00%
1.36 3.74 0.31 55 957.00 1044.00 87 210.00s 9.51 5.35 35.00%
1.59 3.77 0.31 60 - 1044.00 1131.00 87 225.00%
10.19 5.73 40.00%
1.81 3.92 0.30 65 1131.00 1218.00 87 237.504 10.76 6.05 50.00%
2.27 3.79 0.31 70 1218.00 1305.G0 87 255.00%
11.55 6.50 55.00%
2.49 4.01 0.29 75 1305.00 1392.00 87 270.001 12.23 6.88 65.00%
2,94 3.94 0.29 80 1392.00 1479.00 87 280.00%
12.68 7.13 73.00%
3.31 3.83 0.30 M
85 1479.00 1566.00 87 265.00%
12.00 6.75 80.00%
3.62 3.13 0.37 Q
r 90 1566.00 1653.00 87 225.00%
10.19 5.73 90.004 4.08 1.66 0.70
.Ch 95 1653.00 1740.00 87 100.004 4.53 2.55 100.00%
4.53
-1.98 0.00 C)
~
100 1740.00 0.00 m
TOTAL TIME TO START 5.65 Ch i
4
1 V.*T U be v j
Cate. For Evaluation cf DG 2 Coolins unter Fuip Cooter Calc. me. SP13 73-19-2 SAFCiENT& LutOY l ran a a a miniaun startins vatte,e noe. o Date
'ENGNIERS w x
safety-metated man-sefety-meteted Pese 18 of 24 Ctlent Commonmentth Edison Caipeny Propered ter Date Project Quad Cities - Unit 2 Revieued tpy Date Proj. no. 8913-73 Espalp. me.
Aggroved tur Date j
t VII.
CALCULATION fcentinued):
i l
C. MOTOR THERMAL PROTECTION AND PROTECTIVE DEVICES TIME TO TRIP t
The motor is protected by General Electric thermal overload heater size C301A-(reference II.8)
Motor Full Locked Minimum Locked Heater Heater I.RC in Minimum (amps) 100%
voltage Actual HTR Tim Load Rotor 6 Starting Rotor 6 Size Rating
% of Tripping Voltage
(% of Voltage Rating 460V)
(amps) l DG 2 Cooling 2.5 15.6 75 11.7 C301A 1.99 5.88 9.3 g
j Water Pump t
i Cooler Fan A&B l
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L O4U 00 Cate. For Evaluation of DG 2 Cooline uctsr PW Cootse cate. 50. 8913-73-19-2 i
i SARGENT& LUNDY d r.n a a s minian startine vettese sev. o o.t.
EVREERS U X
Safety-telated man-Safety-Related Page 19 of 24 Client Ccomorwestth Edison Coreany Prepared tpr Date Project Quod Cities - Unit 2 Reviewed tpr Date Pec]. No. 851 -73 EcaJip. 80.
Approved tpr Date VII.
/ CALCULATION (continued):
C.
M6 TOR THERMAL PROTECTION AND PROTECTIVE DEVICES TIME TO
/
TRIP (continued):
The following table checks the locked rotor protection afforded to the motor by the existing protective device.
The motor thermal capabilities are estimated based on data contained in reference XI.9.
Motor Minimum Size Allowable Minimum Maximum Starting (hp)
LR Time 6 4110wab}e LR Tripping voltage 100s Time Time 6 (s of voltage e Actual the 460V)
Voltage Minimum Voltage Cold Hot Cold Hot (see)
(see)
(see)
(,ee) g..e3 i
DG 2 Cooling Water 75 1.5 21 11 37.3 19.5 15 I
Pump Cooler Fan A & B 1
- Actual locked rotor time = locked rotor (1004 V)/(starting voltage)2 Therefore, it can be concluded that the existing protective
{
devices protect the motors thermally and will not trip during the motor start at the postulated minimum voltage.
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-a v vv Calc. ror Ev:luation ef DG 2 Cooling Wat2r Pi,rp CootGr Calc. so. 8913-73 19*2 SARGENT& LUNDY '
r.n a s a minia n starting vettese Rev. o cete ENOPEERS
~'
i X
Safety-telsted son-safety-telsted Pope 20 of 24 g
Client Commonweetth Edison conomy Preparert tyr Date Project Quad Cities
- Unit 2 Reviewed ty Date Prof.so.891[73 EgJip. No.
Approved tyy Date VIII. COMPARISON OF RESULTS WITH ACCEPTANCE CRITERIA o
I Motor Minimum Protective Time it Takes Protectisa Motor Thermal Starting Device the Motor to Device Capability Voltage Minimum Start at Maximum (sec)
(% of 460V)'
Tripping Minimum Tripping Time Starting Time (sec)
Voltage (sec)
(sec)
DG Cooling 37.3 Water Pump 75 9.3 5.65 15 (cold start)
Cooler Fans 19.5 A&B (hot start)
A. The above table summarizes the results of :aotor starting time calculations at the minimum starting vo3' cage and it shows that spurious motor trips should not occur.
B.
From section VII.B of this calculation (net acceleration torque -
column No. 10 in the spreadsheet), the minimum margin between the motor torque and load torque is equal to 1.66 = 40.6%
(minimum margin) 4.08 which is much higher than the minimum acceptable margin of 25%.
n 6
e 7
- nwwm vnsvun.
x.v~.ws. -.s :mmwo v vw~mm-w.we.em -
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e =~ sw~ ~ w ~. >
~v-
1 0 4 () H_ A_
j Calc. For Evolustion of DG 2 Cooly Watsr PW Coolsr Cate. ho. 8913 73-19-2 SARGENT& LUNDY ren 4 s a mininun starting vottee.
sev. o care ENGWEERS 3 M
Safety-Related ton-Safety-Related Page 21 of 24 3
i Clierp.1.mnorneestth Edison Conpany
.,s.
tpr Oste l
Proj1ct Quad Cities
- Unit 2 Revleesed tur Date PreJ. no. 891h-73 Ecluip. me.
Approved tsy este IX. CONCLUSION l
\\
As demonstrated by this calculation, the DG 2 Cooling Water
,'Pum'p Cooler Fans A & B motors will start at 75% of the motor rated voltage without tripping their protective devices or exceeding the motor thermal capabilities.
h 2
1 t
Y I
I 4
a 9
4
..m_.
-..,. _ _.. _.. =
~.. _ _..
,.4
.t C.tc. For Evaluation cf DC'2 Cooling Watsr tuip Cooler '
C.tc. me.. st13 73-19 2 s
t SARGENT& ' UPOf r.n n's s utnin a st.rtine vott e.v. o o.t.
- i j
ENGNEERS
.l u
trw.t.d -
zz
.,.a tr...t.d i
et sene ca==n tth Eds on camp.ny Pres. red W o.te
!~
Prei.et ound titles - Unit 2 aavisued W cate
+
f erol. u.. s95-n
- 1 E osip. 5o.
Approved W o.te I-t a
'{ g 4 e
X.
RECOMMENDATIONS l'
l We roccamend the verification of the following assumptions
/
1 4
Verify that the motor being analyr.ed in this calculation is l,
NEMA. class B motor.
i b
y ii i
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s t
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t t
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Cate. For tv2tuation tf DG 2 Cooling Water Puup Coolsr
. Cele. to. SP13-73-19 2 MIL MI Fan A & 8 8tininue $ tarting voltage Rev. 0 -
Dete -
N-B X
Safety-Reteted l
Ben-Sefety-Reteted Page 23 of 24 j
Client Connonwealth Edison Company Propered by Date Project Qued Cities - Unit 2 tevisued by Date -
i f
Prof.3o.891Y73
- 1 Egalp. to.
Approved by Date XI. REFERENCES l
Motors", August 1975.
'- This reference provides-the Locked Rotor, Breakdown, and i
Pull-up Torque in percent of full load torque for class B motors.
l s
- 2. Text Book entitled " The Performance and Design of j
Alternating Current Machines", second edition, by M. G.
Say
- This reference provides the equations used to develop the i
torque versus speed curves.
- 3. Sargent & Lundy Q/A calculation No. 4266/19AZ18, Rev.
O,
?
entitled " Demonstrating that RHR C/D SW pump room vent. fan i
i IVYO6C will start with 80% V",
approved 10-31-91.
i
- This reference provides the equation ralating typical fan torque to motor / fan rpm.
- 4. Sargent & Lundy Standard ESC-307, section 11 " Accelerating time and losses"
- This reference provides the method and formulas used to calcule,te the motor acceleration time S.
- 5. GE publication GEH-4821 " Thermal overload relays"
- This reference provides the Time ^urrent characteristics for GE overload relays.
l
- 6. A Classified Collection of Manufacturers' Catalogs, 1987 1
Sweet's Catalog File, Buyline 2582
{
j
- This reference provides the motor inertia i
I
- 7. Sargent & Lundy Design Information Transmittal (DIT) No.
QC-EPED-0532-00, dated 3-26-92.
- This reference provides the motor data.
-3 i
- 8. Sargent & Lundy Design Information Transmittal (DIT) No.
QC-EPED-0491-01, dated 3-18-92.
?
- This reference provides the thermal overload heaters data.
I 4
- 9. Electrical Analytical Division (S&L) General - Relay file, Inter-Office Memorandum by J. M. Pabich entitled "460V Motor -
(
Locked Rotor Protection", August 18, 1978 i
- This reference provides the typical motor thermal capabilities.
4 1
~
i
Calc. For ectuation of DC 2 Cooling Wat:r Pep Cooler Cate. 50. 8913 73-19-2 M ddLMY Fan A & B Minimuis Starting Voltage Rev. O Date DdGitEERS X
Safety-Related ten-Safety 4etated Page 24 of 24 Client Conmonweat th Edison Coppeny Propered W Date Project Quad Cities Unit 2 Reviewed W Date Proj. No. 891$ 73 Y4 sip. no.
WW Date XI.
REFERENCES (continued):
184086
/
- 10. Sargent & Lundy Q/A calculation No. 8986-15-04, Rev.
1,
,/
entitled " Evaluation of 460 V Motor Minimum Voltage Starting Requirement", approved 1-6-92.
2 This reference provides the inertia (WK ) for fans.
- 11. Technical paper entitled "An Analytical Look at Squirrel-Cage Induction motors Starting". by R. C. Moore, Allis-Chalmers afg Co. Nov. 1964.
This reference provides the conservative 25% accelerating torque margin criteria between the motor torque and load torque during the acceleration period.
- 12. Memorandum of telephone conversation between J. Wisniewski (S&L) and Dave Crockett (Buffalo Forge), dated 4-2-92.
This reference provides the inertia for the fan.
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