ML18051A302: Difference between revisions
StriderTol (talk | contribs) (Created page by program invented by StriderTol) |
StriderTol (talk | contribs) (StriderTol Bot change) |
||
(3 intermediate revisions by the same user not shown) | |||
Line 17: | Line 17: | ||
=Text= | =Text= | ||
{{#Wiki_filter:\. | |||
\ | |||
Consumers Power Company Palisades Plant - Docket 50-255 REACTOR INTERNALS NOISE MONITORING TESTS January 1982 - December 1982 8302040126 830117 PDR ADOCK 05000255 P PDR 1/83 OC0183-0007B-NL02 | |||
e. | |||
CONTENTS I Introduction II Description of Noise Analysis Method III General Core Arrangement and Signal Conditioning IV Summary of Noise Analysis Results V Conclusion References | |||
LIST OF FIGURES Figure Title 1 Instrumentation Locations for Noise Tests 2 Schematic of Signal Conditioning Equipment 3 IAPD NI-05 9/13/82 4 IAPD NI-06 9/13/82 5 IAPD NI-07 9/13/82 6 IAPD NI-08 9/13/82 7 NPSD NI-05 2/3/82 8 NPSD NI-06 2/3/82 9 NPSD NI-07 2/3/82 10 NPSD NI-08 2/3/82 11 NPSD NI-05 9/13/82 12 NPSD NI-06 9/13/82 13 NPSD NI-07 9/13/82 14 NPSD NI-08 9/13/82 15 NPSD NI-05 12/6/82 16 NPSD NI-06 12/6/82 17 NPSD NI-07 12/6/82 18 NPSD NI-08 12/6/82 19 Coherence and Phase Diagrams February 3, 1982 20 Coherence and Phase Diagrams September 13, 1982 21 Coherence and Phase Diagrams December 6, 1982 | |||
1 I Introduction This repcLt entitled Reactor Internals Noise Monitoring Tests covers the period January 1982 through December 1982. This reporting period encompasses the fist half of core five. Contained in this report is a summary of results obtained from Technical Specification tests, Reference 1, which require data to be taken on reactor internals noise on a weekly and monthly basis. The data collected on a weekly basis, Phase One measurements, consists of the inteGral probability distribution function, standard deviation, and %RMS in selected frequency bands of reactor internals noise. The data collected on a monthly basis, Phase Two measurements, consists of a power spectral density, phase of transfer function, and coherence for each excore detector combination. | |||
2 II Description of Noise Analysis Method As required by Reference 1, reactor internals noise monitoring is taken on a weekly and monthly basis. The weekly surveillance consists of the acquisition of the standard deviation,% R..~~and integral probability distribution (IAPD) of excore detector combinations in the frequency bands (l-3)Hz, (10-16)Hz and (16-20)Hz. The monthly surveillance consists of the acquisition of the phase of transfer function, normalized power spectral density (NPSD) and coherence of excore detector combinations in the frequency band (0-25)Hz. Presented below is a general discussion of each of the surveillance methods. | |||
% RMS Alert and action limits, M sigma and N sigma respectj7el~r, have been assigned to the % RMS values per Reference 2 which are given below. | |||
M sigma N sigma (l-3)Hz .16% .24% | |||
(10-16)Hz .11% .16% | |||
(16-20)Hz .11% .16% | |||
These limits were analytically determined based on information in References 3 and 4 and Palisades core geometry. ~ description of the mathematical technique of obtaining sigma and % RMS values from the cross power spectral density is given in Reference 5.) | |||
Integral of Amplitude Probability Distribution (IAPD) | |||
The Integral of the Amplitude Probability Distribution (IAPD) is determined for each excore detector in the frequency bands (l-3)Hz, (10-16)Hz and (16-20) | |||
Hz. The IAPD is formed in the following manner: 1) Data in the time domain is received by the fourier analyzer, 2) The fourier analyzer transforms the data to the frequency domain where the frequency band of interest is | |||
3 isolated, 3) This *frequency band is then transformed to the time domain. | |||
Steps 1, 2 and 3 are performed for 50 entries into the fourier |
Latest revision as of 17:15, 23 February 2020
ML18051A302 | |
Person / Time | |
---|---|
Site: | Palisades ![]() |
Issue date: | 01/31/1983 |
From: | CONSUMERS ENERGY CO. (FORMERLY CONSUMERS POWER CO.) |
To: | |
Shared Package | |
ML18051A301 | List: |
References | |
NUDOCS 8302040126 | |
Download: ML18051A302 (36) | |
Text
{{#Wiki_filter:\. \ Consumers Power Company Palisades Plant - Docket 50-255 REACTOR INTERNALS NOISE MONITORING TESTS January 1982 - December 1982 8302040126 830117 PDR ADOCK 05000255 P PDR 1/83 OC0183-0007B-NL02
e. CONTENTS I Introduction II Description of Noise Analysis Method III General Core Arrangement and Signal Conditioning IV Summary of Noise Analysis Results V Conclusion References
LIST OF FIGURES Figure Title 1 Instrumentation Locations for Noise Tests 2 Schematic of Signal Conditioning Equipment 3 IAPD NI-05 9/13/82 4 IAPD NI-06 9/13/82 5 IAPD NI-07 9/13/82 6 IAPD NI-08 9/13/82 7 NPSD NI-05 2/3/82 8 NPSD NI-06 2/3/82 9 NPSD NI-07 2/3/82 10 NPSD NI-08 2/3/82 11 NPSD NI-05 9/13/82 12 NPSD NI-06 9/13/82 13 NPSD NI-07 9/13/82 14 NPSD NI-08 9/13/82 15 NPSD NI-05 12/6/82 16 NPSD NI-06 12/6/82 17 NPSD NI-07 12/6/82 18 NPSD NI-08 12/6/82 19 Coherence and Phase Diagrams February 3, 1982 20 Coherence and Phase Diagrams September 13, 1982 21 Coherence and Phase Diagrams December 6, 1982
1 I Introduction This repcLt entitled Reactor Internals Noise Monitoring Tests covers the period January 1982 through December 1982. This reporting period encompasses the fist half of core five. Contained in this report is a summary of results obtained from Technical Specification tests, Reference 1, which require data to be taken on reactor internals noise on a weekly and monthly basis. The data collected on a weekly basis, Phase One measurements, consists of the inteGral probability distribution function, standard deviation, and %RMS in selected frequency bands of reactor internals noise. The data collected on a monthly basis, Phase Two measurements, consists of a power spectral density, phase of transfer function, and coherence for each excore detector combination.
2 II Description of Noise Analysis Method As required by Reference 1, reactor internals noise monitoring is taken on a weekly and monthly basis. The weekly surveillance consists of the acquisition of the standard deviation,% R..~~and integral probability distribution (IAPD) of excore detector combinations in the frequency bands (l-3)Hz, (10-16)Hz and (16-20)Hz. The monthly surveillance consists of the acquisition of the phase of transfer function, normalized power spectral density (NPSD) and coherence of excore detector combinations in the frequency band (0-25)Hz. Presented below is a general discussion of each of the surveillance methods.
% RMS Alert and action limits, M sigma and N sigma respectj7el~r, have been assigned to the % RMS values per Reference 2 which are given below.
M sigma N sigma (l-3)Hz .16% .24% (10-16)Hz .11% .16% (16-20)Hz .11% .16% These limits were analytically determined based on information in References 3 and 4 and Palisades core geometry. ~ description of the mathematical technique of obtaining sigma and % RMS values from the cross power spectral density is given in Reference 5.) Integral of Amplitude Probability Distribution (IAPD) The Integral of the Amplitude Probability Distribution (IAPD) is determined for each excore detector in the frequency bands (l-3)Hz, (10-16)Hz and (16-20) Hz. The IAPD is formed in the following manner: 1) Data in the time domain is received by the fourier analyzer, 2) The fourier analyzer transforms the data to the frequency domain where the frequency band of interest is
3 isolated, 3) This *frequency band is then transformed to the time domain. Steps 1, 2 and 3 are performed for 50 entries into the fourier analyzer and the results are added to form a histogram. The histogram is area normal-ized and integrated to give the IAPD. The ordinate scale of an IAPD ranges between 0 and 1. Verification that the Lii.DD for each frequency band passes through the point ( 0+/-0. 8 )mv, (. 5+/-. 05) provides the ::mrveillance criteria to determine if vibration of the core support barrel. or other reactor internals is being impeded in peak to peak swing. Such ear~y termination of peak to peak swing was seen in 1972 and was the result of the core support barrel contacting the snubbers. The IAPD is a backup '-Urveillance to %RMS. Phase of Transfer Function A transfer function between two excore detectors is formed by taking the fourier transform of the time domain data from one detector, dividing it by the fourier transformof the time domain data from the second detector and converting the results to polar coordinates. Coherence The coherence function between two detectors describes the "common causality" between the two detectors. Its value ranges between 0 and 1 and it is formed through the following expression: where:
-2 /Gl~ - square of the magnitude of cross spectrum c 11 - auto spectrum of detector 1 c - auto spectrum of detector 2 22
4 Together with the phase, the coherence forms a qualitative diagnostic tool in which quantification is achieved through the % RMS. The coherence displays those frequencies that are common to two excore detectors and the phase indicates whether the frequency is associated with vibration. Coherence and phase diagrams can be formulated with data from all combinations of excore detectors and shifts of signature values in phase or coherence are readily observed. Normalized Power Spectral Density (NPSD) The Normalized Power Spectral Density is formed through the following equation: NPSD N where: F - Fourier transfc:rm of data from a detector 1 F 1
- Complex conjugate of fourier transfur.m N - Normalization constant which includes a power and frequency normalization.
The usefulness of the NPSD is to monitor signature frequencies.
5 III General Core Arrangement and Signal Conditioning Figure 1 shows the relationship of excore detectors to significant primary system items. The excore detectors NI-05, NI-06, NI-07 and NI-08 are 0 . located approximately 45 from the hot legs. The cold legs of the reactor vessel are approximately at the same angular location as the excore detectors. A rough outline of the core is also shown in the figure. Current from the excore detectors is brought through a current to voltage amplifier and then as shown in Figure 2, through a voltage amplifier, a filter and then to the fourier analyzer. The voltage amplifier is AC coupled so that only the fluctuating (noise) component of the signal is amplified. The filters are used to bandpass the signal in range .025Hz to 25Hz. The fourier analyzer, HP5451B, is used to perform all statistical analysis on the noise component.
Steam CJiri.J~it&\tor n 1>- CORE
*---~ pressurizer pros sum * ~team generator A -~-----------'
FIGURE 1 InstrumentalJon locations for noise tests
1-------------o
+
Input to Low Pass High Pass Operational Buffered Fourier Filter Filter Amplifier Excore Detector Analyzer 24db/oct 24db/oct Nominal Gain Test Signal of 50 FIGURE 2 SCHEMATIC OF SIGNAL CONDITIONING EQUIPMENT
8 IV Summary of Noise Analysis Results Presented below is a sumnary of the surveillance results for the reporting period. These results are organized by surveillance technique.
%RMS Table 1 lists %RMS values for the frequency bands (l-3)Hz, (10-16)Hz and (16-20)Hz for all detector combinations. Representative results are listed from tests throughout the reporting period. It is seen that the alert limits of .16% RMS for the frequency band of (l-3)Hz and .11% RMS for the frequency bands (10-16)Hz and (16-20) Hz have not been exceeded.
TABLE l
% RMS FOR DETECTOR COMBINATIONS FOR FREQUENCY BAND (l-3)Hz, (10-16)Hz, (16-20)Hz 05-06 05-07 05-08 06-07 06-08 07-08 1 2 3 1 2 3 1 2 3 1. 2 3 1 2 3 1 2 3 1/11/82 .016* .004 .002 .023 .007 .002 .030 .005 .001 .036 .004 .001 .022 .005 .003 .011 .003 oo:
6/1/82 .028 .oo4 .001 .028 .008 .001 .029 .006 .001 .033 .004 0 .027 .006 .002 .021 .006 oo: 9/13/82 .023 .005 0 .031 .008 0 .033 .006 0 .038 .003 0 .026 .007 .002 .025 .006 oo: 12/6/82 .026 .005 .001 .024 .007 .002 .038 .005 0 .049 .004 0 .022 .006 .002 .029 .005 . oo= 1 = l-3Hz 2 = 10-16Hz 3 = 16-20Hz
\ '* ' 9 IAPD Figures 3, 4, 5 and 6 show the integral of the amplitude probability distribution for the month of September 1982. As stated before, the ordinates of the IAPDS are from 0 to 1. The abscissa is expressed in terms of millivolts. At 100% power the excore detector is 8 volts averaged. On top of the 8 volts exists a millivolt noise component. This is what is measured by the fourier analyzer and why it appears in the IAPD. As can be seen from the figures, when the IAPD has a value of .5 on the ordinate scale, the abscissa is at 0 millivolts. This signifies that vibration is of small enough magnitude that peak to peak motion is not being hindered. Normalized Power Spectral Density (NPSD) Figures 7 through 18 show a NPSD for each detector at three different times during core 5, i.e. February 3, September 13, and December 6, 1982. These three dates correspond to 5%, 23%, and 45% of core life respectively. Through an observation of the NPSD (and the coherence discussed in the next section) the following frequencies and their postulated sources display a reasonance .
- 1. . 5 Hz Thermal hydraulic oscillation
- 2. 2.3 Hz Fuel bundle vibration
- 3. ll.25Hz Unknown
- 4. 12.5 Hz Core support barrel vibration
- 5. 14.75Hz Primary coolant pump blade frequency
- 6. 15.5 Hz Shell mode vibration of reactor vessel
- 7. 18 Hz Core support barrel vibration
- 8. 23 Hz Unknown
This signature of frequencies has remained relatively constant throughout t~e 10 reporting period. A change in this signature over a short period of time would be a strong indication of an anomaly, however this does not exist. Table II lists the peak amplitude of each of the above frequencies. TABLE II PEAK AMPLITUDE OF NPSD FOR DESIGNATED FREQUENCIES NI-05
- DATE . 5Hz 2 . 3Hz 11 25Hz 12 .5Hz . 14 75Hz 15 5Hz. 18Hz . 23Hz 2/3/82 -66 -74 -96 -96 -85 -103 9/13/82 -62 -73 -84 -106 -102 12/6/82 -61 -69 -93 -86 I -101 I
NI-06 DATE .5Hz 2.3Hz ll.25Hz 12.5Hz 14.75Hz 15.5Hz 18Hz 23Hz 2/3/82 -67 -73 -94 -89 -92 -97 -104 9/13/82 -64 -71 -93 -84 -90 -101 l2/6/82 -62 -69 -93 -92 -84 -90 -96 I -102 NI-07 DATE .5Hz 2.3Hz ll.25Hz 12.5Hz 14.75Hz 15.5Hz 18Hz 23Hz 2/3/82 -67 -74 -90 -85 9/13/82 -64 -72 -88 -88 -89 -93 -103 12/6/82 -61 -69 -90 -87 -89 -97 -103
- NI-08 11 Date .5Hz 2.3Hz ll.25Hz 12.5Hz 14.7~Hz 15.5Hz 18Hz 23Hz 2/3/82 -66 -74 -89 -87 -89 9/13/82 -62 -72 -84 -88 12/6/82 -59 -70 -87 NOTE: All values in db; blanks signify no resonance
Coherence and Phase
- 12 Figures 19, 20, and 21 present phase and coherence diagrams for the months of February, September, and December, 1982. The phase at a particular frequency and given detector combination is given by a straight line for 0° phase and a sinusoidal line for a 180° phase. A 90° phase is composed of half a straight line and half sinusoidal line. ~he coherence for the particular frequency and detector combination is written adjacent to the phase line.
Significant points from the coherence and phase diagrams are listed below.
- 1. The .5Hz frequency displays for all detector combinations and throughout the reporting period a 0° phase. High coherence is seen across the hot legs whereas low coherence is seen diagonally across the core.
- 2. The 2.3Hz frequency displays for all detector combinations at beginning of core a 0° phase. Later in core as can already be seen in Figure 21 vibration will occur at this frequency, in the direction of the hot legs.
This frequency is believed to be fuel bundle vibration, Reference 6.
- 3. The ll.25Hz frequency displays for detector combinations and throughout the
*reporting period a 0° or 90° phase.
- 4. The 12.5Hz frequency which is also believed to be core support barrel vibration displays a measureable coherence throughout the reporting period.
- 5. The 18Hz frequency displays throughout core life a vibration in the direction of the hot legs. This frequency is believed to be core support barrel vibration.
V Conclusion
- 13 The results from the surveillance method~ presented in Section IV show no indication that anomalous or significant reactor internals vibration existed during the reporting period. The magnitude of the % RMS values in the various frequency bands did not exceed alert or action limits. This in conjunction with the other noise analysis data conclusively shows that the core barrel was tightly clamped during the reporting period and no other anomalous vibrations occurred.
10 X 1ll *10 *1r1E INCH* I,.;., ltJ INC~flS KEUFF EL lii: LS~fH CO. WAllf 11111 U ~A 46 0/02 Integral Amplitude Probability Distribution (IAPD) NI-05 9-13-82 Figure 3
-_I*: l _-j~ :j * -~1:*::. - :* *=':::'::: -- - -* _::. :=*::. ~ -* - . . -* - - - - : I.:, -~'-: ,_.:; 31.~*L ..... **1- I -* -. -- ...
_,_ .. :.. I I I t_{ :~1~ ~I~
- - - * - - ** - ' - L.- -* * - - - *- 6 - - * - - - -- -- - -- ... 2'- - : :(' .:..U: ::i 11 ~ - - -- -- - -* : : .- ~-: 3~ *: : -~ :..t2 Dir~ *= -~------- - J.
~--.I.- ...l_t __ *-
-I-_.__._..._. -+-+-+-1-4-4--l--1-1-'- -* - - -- - - *- .. .....__.L.--t- *- * - -* , _ **- **[ ... -* ... - -* *- *-+- *- *- -- ... --* - - - -- **-* _,_ - -~ -*-'--*µf--l.-l--1-- - ___ .__ -- --'-ot-- .I. - t - - - t _..._, - -+- . . -* ... -- - ~r - --.-
,_ . *+- - - _- ~ -=-F - : ~ ... - - - * -- -* - * *- - -* - -- ... -- .
~ ~F - - -- -* -* *-* -- -* -- *-1-- - - . *- - - - - J- **-l*-4--1-+- .5 r . - -l * - - "_...__ - - -- _£_ *- __ , _ _ .__ L- - -=-~ --~=~ --~.~ 0
,,-**-. II* .. X li1 10 TltE INCH* : >; 10 lf'<l'HI,;
t<LU.-FEL & L!>SEN CO. MAUI US. A 46 0702 ( IN Integral Amplitude Probability Distribution (IAPD)
- 9-13-82
- 1--=*-~1:-1J.,-J - -:i~ -nI[ _t : :~ *~ ~ =-~~* .: : :_ . .* -_-' ~ -~---*t"l\T'"i -t1....,?:-,-,-,-,-,-,-,-,-,-,.---,-,,-,-,-.~.~~*~F-=-ig';!!e 4 ~1
~: =~~a~l;J~~ ::~f: *:
lT . _ : *_ --* - - - -"i'J
... I l-+ --1 r1 --- *: -* -. 11 1 -~ {) T.**..*. : _,_.L ..** _;~P" ~ -- -~
_._ -~-- ... .. . - - 1
-h .** _ ; . : - . . * . . .. . ... .. .. . - . . *- .. - . . - * -~ -~ ~: ~t( ).~: ~- ~ .1. i~ "*. :-1 : - *** { *. -- f- ---:r .~- _* **-..
I
- I - - . . . ----- .--*- -
- ~: =:~ . :* :~ =.: - - - ~ :~ ~-=*-~ *~ .: : *~1*
*1- . - .. . . . . . ...... _. :. *=.1~_- J_~ *. * :~. .-. ~ .-.: -*:~ :~ -. ~ -~ ~ -*- .*.*_. :_ :. . - ~- :. * -~_*:~- - -~ : : ":: -. ---. -........ -v**:=~~: *-:r::~.>- . :._ __ .: l -::*-. i
- + . -i-1*
l!Vvv~=**',v*
,,c)~v""' ..
Ii :*~=:: ;_
*:*_:"!'.***:=*=.=::.-.::-.::::::-= - - =~-:
I
-TI___ ,____ ,__,_ ____ .__,__, __, _ -----~--~*- --- ..... -~li t..-*t/1(-- *--*---*-*-- ... - ............ - -*- ~ *- --**:*~:~: J-~::.:::~~*=.
5 J Ii I,** *.. ,-.i.i.+'~i~'LL-µ.w~H-W.4M4:f::i::P:~~-.~~:W:+/-J:tt~r-r!-iR~J~J_,,J_,, ..
. *-" _.:_.'~:~::t:~:v 11 .. : . *. :* . -: *: : +:i ~:: :.
- =:. -- =:~ .: ==* =::
I ;' ,* "" - -.. .. -.. ..
'--~
v - - - -- - - -* *-'-- -* *-- - --- *-- ___ ,_.__ - -H'-1--1---l- ** - - ---1-- -*-t-
- *-+- ... --*- *_ :- -~l-~-.J-1.--1-4-l-LL ~I~ ~ ~--= ~. ~ ::: .\( ~ :*i _~ .~ =<
t" I 0
!f1I 1 I. l .i: ll .
j
- j * . .. * : : :-: ,C
+/-~f .t - -- -/- j _~. - . -
1 l
+- . - .. [~ . -*** . .*. '~1~..._ *:. . . .: .*=.:: ~ ~...~ 1 ~' l; ~- . *, >r lit ,.: . _-. . . . . .: *_ . : : ~.:.: :: :h . : : :~11.
- : .: : : 13.;_: =..:-..:-.:.:~..:- ~
- t. ,. J. - - .. * .. . IF IL I~ D ......... ..
-.~.[- " .-jll ~ .~ .-_*.*.1- - *.*. .. .-* ..: . I I - . -- --- - .. *' - - *- ... -_. - -* -- =: ~ ::-* -*-* --*~ *-~ -*- *-*- *--- .*-*-*-*------ - ----~ *--- --- -- -:_ ... -*-
hf!-{ :':J;:*.* ~,.. -*.l :!~ -~I}I I-_-_: --'- *1111--1~ 1* . _I . - . ' -~ . . *-* *. - -~*. ~. . -. .*-~. . . .-*-~*~ .. .
. . . .. . . . . *...... T .: ~ ':. *~ . : . *. .* *:. " ': *: .*-~*: . :I
~itl I ~: *1tf :~ l 0 1- HJJl.L.,1...._J_..I.
- -'--'--'--'-'--'- _LJ.....L....J..* _ J _- J _ ,"J _ _ . .l."-L..L.J...i-1...J._..Ll....LL.l.....L.L.LL.l...LLLL*_j__LJ_* .... -L*__-.LLL.L. ..L..LL .. L.. . * ** *
- 1'
. -. 1
- / .. '*'-*.
Iii-~, *r cf.: Iv/. Iii *10 Ill[ INCH* k.CUI FEL & [S~EU CO. 1 ... 1u /!~<:111::.:. MADl 11'1 U !i A 46 0/02
,,.*.., I I
r1: t~ r~ *. *:L ~ **~ ..~ ;** **. :;** :*. ~ '. i~ -_tT<.~ *.. ~~ *** ~ ** *.* .~. *. . ~ -.* *~ ---*:. . .;~ . ~~ *~ -~ -~*-: <.* ~L =; * *:" '. * *
+!,*,.I*!*
- Tl_JT~*=jlr~-:-:-*:::~~--:-~-
-~~~-~--:-~--------------~;.:~:-* ------:------ - T ..
- 1 .. JI
. I.. I.
I 1
. - -1 I -*- - - *- . -..-.. --* -. - - -,/ _,,.- *--.. . -* ---- .
. .~:!1*-;--,.* I !Tl .... . .. ~ .:. -: .. . V*'I
- v1,-~~ :~ .'-~-,...-.. I
- r.L. ' ... .. .. ... . . .. . *--.
J~.:i.:_-+*-ll * * * ---
** - . ... I ~ ,,c:/ ~y I . . . . .* . I . .... . .. .-~* :__.*,_ : .5 . . . . *1 -*1:~1~1*:1-> 1~1~-I: * -* -: :*'1:- ** -1~1-: *1* -~ :... ,_.: . . _*
1 ' ---------~ ~:--. ---- ____ ... --~:=~----Ir'/~,..-* ; f 1 I I
~ ~- -=*=--- , ~-:-: ::-~ - - .. i - -r 0 tJj: * : . . :* .: . .:. . I 1 ' . . . - - . - ~: . : - --- :~ ~~~=:;
,.* (""""' . . \
(
- ,~ *: .* Integral Amplitude Probability Distribution (IAPD) 9-13-82 llT--r1*1--;-- .... j"Tr **-~ --T --~ -:-~ -- -*~ -- :*-- -- --~*-~r ;-* . r' T. NI-08 ':.- T -.f - -' * :l- - *: -. - - . _: - - - : ~ : -* ~ ::. ~- - _: - -_ -- - : : -- - -* r - ~- ~ -TJ ~- ~i~ J_-: : -~ ~- :- ~- -~ :__-_-_ ~ . :.:-.:.....-:: ~.-- ~::_ =:~.~~- ~~ ~- ===-: ~ ~ ~..~ : -. ---
1 .. -- - - - -* -- *- -- -* -- - - - -- . - **- *-* -- .. - - *- - *- . -** -- - - ...... -- .. *- *-- - -- - -- -- .. -* .
=~f-:~ +-.~::~-~-fr ~:=t =* ~ =- ~~ : __ /--=--_ - - ---- - ------ --- --- -- ---:~ --~~~E;= ~: ~-~;*~= =~ :*-: ~ ~ '. ~ *- ~ : - 1 --
- -1 r- ---- - - :-:-:- :_ ------ == : _: ==-_ - : - -: : : : }
)1i-1A L ~--y _: ~= :~>: ~ ~;; :::~:
- J-'
-f = ~- ~ ~ ,::: = ~ ::: ~
_ - - ---~v*,:,- ~=:~~~=~ ~-1.--- -~ I
-~ ~>-1-.L.i-+*- t-r- -~---:,-:--*~-=-* ~=-~i=-J:J. .*_.* ~: =- ~-:*-. - ~=-* '_.* ~ ~=.*_ .:~* :_
1
- :-:: :~::~ ~::_ :: : ::: ~ ~~~>~'" J_-,:1 -~I J [ . ' . -* - : = :_: *= : ::_ - - - - - -* -- - I/ ./."'." -i;. ..... J.. --*=:* ,..=.*1*=-:*.':*
{it I - = - I. j 1l- .~ -:~ : :::- ~ :- -~ '-.,--""~~~,' ---- - -- -------*-:*- .~.<-~.*-'~:- ~'.'.-l~* -'-_._~ ~*~~ ~~ ;*~ ~~ ~~ .
.5
+- _:1.- ... \~:1_:*\ - -------- 1l"l'J._. L_ll.-l-W::.l.*J*.J.~--l...l..J.:l~8::i:!:+/-:t:l:I:_.l.. ..U.:.,*
- - :_-~
. u*~-~-~* ~~~>--.-*:0:,~:>'/ ,.,--* ~ -: ._ ~-:.:~..... .....-* -=*- *- *- .. -----": .._c......... -- =*:~=~::- --1--~ - - - -t----f.-------- -*l-t--t-+--+-IH--4-1--+-I 0 - . - . -. - --- - *i: - - - - - -* . --* ~--- -~* =~ _-_ ~-* ~ . ~ =~~-t~ ~-.=-= =~- *: ~===:===~=~:::~===~ .. - *- *- - -- .**.. - -* - - .* I - - C- - -- - .
- tt*~ 4- - - r *- *. ._ ~ ~ ij ~- ~ ~-~__- ~.:.: .-.*~_.:* .~ ~ -*~/ =~ _.._ *- ~- -=--{ +:~~ -:- *:*JtB-~ .~ ~ :~~; :~.._ ~~;o: =~~ =- - *:-~ ~ -- ~- ~ - ~ ~ ~ ~-~ *~ =~ ~ ~:: ~ ~: ~ ~
1
-,-1.- . --1-- - .=- ----.* ..:. .. lt**** -_: - ... -_*. -- = ~-* Ir_~ -*~. -.:-. '._- . -..-.* _:: *_-_._:_: _: ...*.- . _.. . - ..** -* _. .. *- . ... . - - --- --* .*.* -** * --*
- _* _*.* ~ iv';) L* ~. . ~. -~ .. -~ . . - -- . --.- --:: ::* --~ .--.~ *:. ~*. --* ~ .--.~ ~. ~==:t~-----. =- -:~ =- ~+~-j~ :--~-1=t~- - ~- =--I= -~
.. *- -* ..... -* . -* . . -.. -* -* --. -* . *- . -* -- *- . - -* - -* . -* -.. . . . * - --*- **- -- -* . ---- !- -- . - - 1- - -~ t-1-- -** ~ - - ..... - * - ~- ~1-'- -- - -+-+-+_-+_-!_1--_I-._+_-+_~-l-~ ~-~ --1--1--~ ...-+-=--1-**:_ -*- - -- -- _ , _ -* - . - - -* -- ,_ - - - -~ c- - *- - ~ ~. *~ ~ ~ *- : .: :~ ~ ~: *.~ *= ~ *.: ~ :-. _= ~: -_ ~ ~l*:l ~.* :- =:~*= :_ .. ~- -- - -* - -* -* - .. - - -- - -* ... - - - I j . -** . . . - *- . . .
- I - *- -*- -* - -- *-* - *- -* *-
-- - - - - - * - .. -- . . - . - - .. : :: _. : =- : : =* -~- . - - *- - - -- .. *- . - _l*- .. -* *- - - ***ii_J_l._r-il.
J *Ll: **-
, _ I ***r* - J -_-
L - *1- - j* ---
-; ; ~~ =* =-:= -= ' ' -- ' - L~~- - - --:' -.- : :: : * -- ; ~ ~ ~ ~ L~ ~~:t~<-~ -~ ~f:'; ~ -~ ~ ~ '-'-~'-'---'-'---"-'--'--'-~'-'--'---'---"-.L....J..-'-L......L-'-'-'-.L..L-'-L...L..L...J.-L.L...LJ_jL...L.L..l_L..L.L..L...J._l_.L.l....L...J_l_l
10 X ltl TO rt IE INCH* I >. 10 INCHF-5 KEUt- FEL Ba l:.~SER CO. MADC IN U.S A. 46 0702 Normalized Power Spectral Density (NPSD) NI-05 2-3-82 Figure 7
~t=H- ~-- .=.=_+_-_+_+-1--1-~ - :..--* - **----*-*-- *--*- - ~ --*- __ - ..-+--f--+*-1-- -*---*-"-'-'-'1-*L..---*- -
L-._._! - - - - - *---
>--~ *-+---+++--1---l*-**-1----11-.-.j.--l-- -===~ ~ _-.._-+,_-+-,_-+-_-*-* _,_ - - -~ ~: ~:_ ~--*~=-=--~-+/-]-_=*lf:,_- jJ_l_ I .f -+-l-1---"<-'-+-<<-+ -- *++++-l-4-+-~-l-'H-l-t-+-+-1-+-.J.- -1-- -- - - t - - --1-~-* - - *-* -* -*- '-'--- ~- - -- *- *- - '-* - -- *** ***' -- - *- *- *-+- --1 --+-+-+-l-++--1-1-1--<'--l-*--+--1.-~-i-~ -*- _ _ _LJ =i=i-1*-+-+-+-+-+*-+- t--l--IH-+-+-l*-+-+-1-*,.,__._.._...1-_.1-_,_'-_,_'-_,_ +-t-1-+-l-*4 . - - - - -- -~-=- -=: =*.* =. . _-.,. --+---_,*_--1----*--'='": .=:=:= :- ~-==: :.~-~1-1_*-_*,-+-+-+-+-++*+--1--I- +-+-+-*1--1--1-- 1-~. I '-. i -
'*":* . . . ~IJ.~;"4*- .l.:-l--l-;1- -t-+-+-+-1--1--1-=:= 1 L-.*--t-*--l-*--l--t-+-+-+-t--~1-_--'._=_~---=~. .-=~--~L,_:.*~---*=-=~
. ~-=: :*~r=~~~~ =- ~::. ~=::::~ -~~ ~- =t*_- l-=- -t-=-i-l- -*~-*.- -1.--:-l.1---+~l~--~l-1--l1-H1--l-_+-+-.t.-.l---.J.-.~-- ~ ~-~;=;*~l-:-l-=*-l-:-.ll-=.-1.---11--+---l.1---i---l-1---l..--:~1
- 70 ' I ------*-~ -l-+-+*-+-!--l-+--l-1-- -i.-. -- -~-'-- - - - - -- -- --*1-*f- ._l_ i - -~ - -"-r*~*I-- *- **- -* - * - *- - **-f-- - -- -"-'"--[-L._ '--l-~. +l 1 i
- - -\-+-H-+-l-+-l 1-1--11--1-1-~--+-t--1- --* -~ ._ 1- ~ ~- -- _.__r-* ~t~,-~ *- -"-- --*- - -l-t-+-++-1--1-1-- -l-+-+-t-+*++-+-+- ---~ -- - -* 1-- -~-
1-- -
.f-.-f-..f-'L _ --*- _ --'-- ___ ...... ____ *- _ ...... ___ *-* __________ ._ - ~- .. - - i-.. -
- i - - - - - **
-*1-1-L-IL-1-1-1---+-+- *-+--1--'--'--'- ~. ___ -** ____ - =:= =~ --~*,_---<,_1-1---*1--+~ ~ - t -
- ____ *-..-* .. _ ._____ ..
- ~I--*- -~--1--'-*"-*'- - -1---
Hl-;-1-.1>.~:- ~- - :..- ..... *-----*"-- --- __ ._ .. -* --1--1--1-f-.1*- - - . - -*-* .. -* - - --- -* - - . . ~** - ..... ~- . - - -* _ . ___ .. _ *- . .* ~ _ _ _ _ _ ** _
-H .- - f - -
- _ _ _ _ _ 1... _ _ _ _ - * - f -
- _ _ _ _ _ _ _ _
l-'H-t-t-+-+-++-l-\U-+-.J.--1--1--L-I- *- - 1-1--11--1-4-+-+-t--1-+ ,K. ___,__.._-1-,~i-..-
-f.*++*+-+-*1-4--1--+--l-l-*l-'1-'-1--1-l--I- -- -* **- - - - l - .--1-- -t-~-~-++++-+--+--l-+-l-'H'-1--1--*-+-'*- _ - ~-- ~- =-* ~~ ==* ~ :~ -~ =-= =* *== =~~~: =:. ==~~ =~ ~-~-~*~~ .-1-..- ____ -~-- _ ..* _ -* _ _ *- ____ ...__ -*~- ~- *= ~ -== ==~-.*== =:.*-~---~-- - -~~
_ -- _ _ _ ..._ ....._. _ 1..-. _ *-*t-- -+-+-+-+-l-+--l-
-~ -~- --~*
l-- ___ .* __ t-t-*t-1H-+-+-+-+-+* --t-*t-.._ -+-'--J-i-L- 1
-- - -i-- * - - -**- - -- ***. f.-. - - -k- ---1-* - - -- - **'-** *-* - - -t--t-'-1---1-.... * - - -- --- ... -- --- -1-+-<--I-->---'- **-J.- - _..._ 1--~ - - -* -* -- - .. ~- - .. *- - - - . . *-1-- -- -'--* * - *- - -- . - - -
-80 t--t-lf--i-f-1--<--*- I-.
- *. 1-- - *- *-- *. --- - ...__ - -1*- *--!.-- -- - ---- t--1--ic-!-+-+- - ,_,_ .. - _.. ---*I-* - -- . I....- - - - . _ , _ , . . . . . . . , _ , _ , _ , __ _,_ - -* - -* *-1--- - - *** -l--f.-+-l-+- --- -- -
f-. *--* - --- -* - *-1-- - - - - - *- -- ---1-1-,_,1-;-+-1.-+-*- T _.__ - --- - - __ .,_ - -
-+ -"-*- ---***----**\r-___ .... .-._____ -1--*-* *--~ - -*r-- - -- -'--- *-t- ---1-- - - - -*--- _ -~'--1-- ~~ * '--- __ ,_l ______ .._ ___ _ - * - - - - - __ ,__ -* - +*-~ - - - - -* : ) .. - -** *- - .. - -*- - - ... * * - - - - - - - -- *-*'- _,_ - - - ___ ,_ __ ,_ -- ._--:-*--*~----------*-~--l-------1------*----l-------***- . --I---** ---------------------------------1-------
-90 *. -_c ~- -* - -~ - t-~:.. -\ -- -*_* HH-t-+-...,***i--+-_+_--*j. .-. .,* *f-'-4**--+*_-:~~4=1=:~~~=~=1 _*-t----t------1---t*_-*+-+*...,.. i---t.-t l: I- - ,_ - :- - - - * - * -- - --L --- -*- - - *- - - 1-. *- -- *- -* - - - I- - ,1--1-.J.-**... i---!--
~=ti~
- $=1-t'~- T~~ *1-
- J :.c ~- *: ;_-_ ::.-:: ..=1::: L\ -- -~-
.~*= ~ :~ :=:~ ~~~ ?~~~~--~~~~~~== ==~~=~
L-r **- - -- - __ .... 1-1- - '- -* _,_ - r*r'- - -- _,_,___
. - --r- ~ ~ -'---:-* ---*----- -----~--->- .::: :':::. -:::::-.::::::: ::::: :::::~:: =* - . . *- .. =~
- '= :=-.:::. -- '= :: ~'= -~ +:: ~- :-11~-V-.
*v.K - '-"'"-...., .;.-' --*-.,,, -t-... ..)-' - *"":- -
j ....: :* '1\ ':::...
- : ... : :.* \
- - __: : --~ :.:.,::_ :.:::= =*.::: ,=-- *-f\~ *- ~ =*::.~*= ~- ~:.* -=- =*-= ~=~
_,_ - -=~ ~ =1=: =>:=:.=:::::,_._ - -
.-* - _.__ --* .. -*- -* _ ,_ -__ ,_-*,__ *- *- - **1-11-+-+-+-1 --I-~---~-_,_,_..._,__,_....___,__._
D- ----r--------1------1-- ---L------\--------1---*---1---~--- ---/-. - - *- --
- r - - --**- - -*- - - - - - * ,_,_ -- - .L -;~ -* *- - - - - - ----- - ** - r - - - - *- -~ =~=~ ~ S:.~~~ -~ ~ =-=~ --~-=~-: ~ =::.'::: :::::. -::.'.:.-: :. -::':: =-1--1-+--1---1--1-1--1'-- --rij-r--- --* *- --* -----'--* -- -100 '--'-rl.J--!-- +
U- I - *- ____ ,. . - - ->----- - --* - __ ,_____ : -- - - -\-* - ---* --~-j
--*>-* _,___ - - .. ---~ ..... - -* - -,v '. .. - -'- -- - - **-*-~- ;;;:*. -f---~~-~----f-------~-1--- --'I*- - --* - -- -- *---
f- -*.-.*- =.: =- == --*- -~~- --* -------- * -
-:-+===::::-I==~-= =:.:::::::.,:::::::.-.::,:::::::::::.::::.:::::,~:I=:: ---~-:::~~:: -=- .: ----1--- ---- - -- - --- - -er- * ~-I-- - *-~ ~,.::.:: 7 :::~i"\. -t---1--* * - -1--. - l- - *-* - f--J-.* -- J-- ** .* * ., . ....__ ** .* *** ** * ... - __ ..._ - - - - -** *-*'"- *** ** 1--j.-. - .* t-.i-._ 1-- *- **
c- ---- - .... :::._:,_l-_***,--_-~_-_*f\__ ~_=~_:-~*.,..--_*i\=1-_.:::.*__ *__ f--*-_:-_*-~,_*--_'-_).,_,_,__,_,.l\_,.._,_,_'--
*I- ->-1-.1...-
I-
-*-r- __ L...1.....
t-1--
-=--*-i--l--~=-~1=,_.r--=------~=~.:.1--~~-=t-1---==
1-- lo- i...- L.....
~ . -. ---- --- -~----->--*-----1--------*** *--- .. - -+-t--+-+'l+--l-+--+-+-l ttl ----~---*-'-----**-1---* -=-1~r*r*~=~--- _-_,--~~*:.-_---*'-_.-,_-i----1-1------ . ' 111 -*-- *- -
_ l -.
- _ L . - _
--1----1-1-1--------- --1-------1--*- ---=-:*:::>-::=~*=:.::*=='"='="-=-'=::::::,:-:.:.~~~~.:::;.::;i::~.::::::._ ...... -.;I->-*- ~~ r-r ~t-1'._: -~ = ~-r---~:: * - -'=-=-=:: *-- - -* =~ =*:=-=*== -=.:: ==* *-* -*- -- --- *- -*- *** *-*- *-* *-- -*--~* --f--* *** -* --* *** - -** *- -- -*-1 - -* -*~- ~ +-l-*++++-1--1-.J-t-1-1~-l-4 +r=~f:_~ ::T:~~=~~~ ~ =:~~~ -~ ~~=~==~=~ ~= ~~.== ==~: == =~=: =::::: =:: :: =~-~. . :-~:. . =: ~-~ *: ---- +E :: *= .::=*- ---------*:. ::::::: :::::_ :: *:-:.=:=-:=:::~------ -::: ______ ,_,_,__._._,__,_,._,__,_,_,_,._,_-1--_._. -*--**-->------ -t-l--IH-t-+-+ ..... , --1....--. '- -- -* --- -- ~-*-* *-* - -* -- * *- -*** * - - --~ * -* --- - -l--*i-- -*--- --1---- -- - - * - - -- - t - - -- --l--*-* - - -i-- - -L-.. -- - - --* - - -- * - - ... - - * * - -* *- - - 1 . - - -- *- *- - -L-. - - - - -
L_ -- - - - _,_.___...__[
-t-t-t--i-!-t-+--1*-f--*. -.1-rr_-_ ',.- -'--- -~ t-- _--. -~_,- __-.-- -__*"-_~_- *_*.-__ .'-,_'-~__* .-_ *--. :--_~ .-:-*_.-*-i--__-:-1-.._ -_* _- ____ ,___ '-_ :- - _.__ -* -__ -_ '""_.*.~- _-- - ... - ._. ....... --1--*L_L..... _L..... - * - * - *- - --1--1..--1-- - - - - *-*- =i- -i--r+-+--:-~t-t-11--J-t--+--t--+-++--t-+-*l-+-~++++-+--+-+_+_+,_+..j--1-1-1--+-+-1-+--1-.-1-+-1.-1-1- '-.::::~ _-..-*- - -~::: :::':::.= _-: :::'::::::~=.::::':'.:::::'.::::'::::I-.:::~: --'-* - ~= ::::L ______ ,_,_ *--;.
___ ,__ _1 __ -* t--...... - *- - - -- -
.i++c+ -* -* *- . -- **f--~f--
1-1~:P=-;:~_11=p: :r :r-=l =*: =::::*:-:~::= =: === ==:: =- - - * ==- --- :=== ==:: :~ _ _ _ _ _____. __ _____ _ __ ___ _ _,_j __ -* - - ~- - .. -- - -* - - - -- - - -* - *- ----- -- -* *-* -- -* - --~ - -- -*- -*. _:_1~;1':f[r ::J1ql :f ::::~ ~~: ~ :*:~~~=:-:: =: 1 :::~: : -_ ~ -=: ~: ~ ~:; ==~ :::: ~ =~~: :::: :::: :: ::*:==~:~] 0
*t+ 11+ -- -*ffi-t-l *t* - *- *- -
5 10 T I 15
---- - -------===~-:.::.:::=.:::::::~=---=*:::=-=-----*-=::1 D 25 Frequency (Hz)
.*****v***, ,..-.,_ IU X 10 TO rHE INCH* I X IOJ llKHL!i KEUfFEL & E5SER CO. MADI IN u u.
46 0702 Normalized Power Spectral Density (NPSD) NI-06 2-3-82
-* - -- - -- *- - - -- -- -- - -- - --- - -t-1--11-l-+-+*-+--+-++-l--+-+-l -- -- -- - __ ,_ --~ -* - - *- *- * ***
- f*- ** -L- l - - **+-l--f->-+--J..-1.-._.._._~-i
- ** -* -* *** _.._ - ***~- **1-Ht--J-t-f-t-t-t--t-,
-80
- 1---L.- *-* - - __ .._. - - r - t - -- *- - ~- **- - -~-L.- -t--~*-+*-l--~ - '- . +-Hf-1'-l-+-t-t--1--l--l-+-+-+-+-l-l-,l-<l-l-+-+-J.-1--1---1-.+.-l-4-.l-.1.-i-LJLJ-L..-t-- --1 . - -->-- -~-l--l-.+--l-t-t-t-l-11-l-f-t-t-+-+-+-+--t-+-+-+-+-l-~~1-l-!-J...+-l--l--...J.....J......j.....j.....J.-.j._.j._~_)_)_j._J -- -- - --* -- - !--* -- - --* -1-- - - - f- ~- ~l---1*-1--<f-<-<-+.....-'--'-*-" *--,_ . . -F _,__ --*- _. . . _,_ _.__,_,__ *- --* *- . .
1--1--1-1--1-l-+-1---l--l--~-t--* --l-1...... _L-... - - - - - *- -- - - - ~- *-
* - - i..-- --~* - --*- - L..- .._ -~-t--t--t--+--+-+-4 *.f-*1---1--1--l +-+-+-+-1--HH--I*- ~~~~~E~ =:1~ ~~;--~nlnff ;==;: ~[i~: =-: j_: ~ t ~:_~:-~"_ ;_~ - ~ -~- - ~= *=I~~~*~.~~~ :~.~~~rn~~ d; :~; ;I*-:. :,~:-=,:-=.i: .~:=~*- l- - - --~
-90
~ -1 -r- .T *'--f). , *r -* ... - *---- **!- --* *- -- -- .... _. . . - ---*- - -- -. - -- --* -*- . --- . *.-: -*-- *--~*- -*.n. --- -- -- -- --*-- --->----1---- -- - - * - ---- *- *-f--*f-- -~ - -~-- ->-+--+-+-'->---<
-100 10 15 20 0 5 Frequency (Hz)
r****-. 10 x Ii* TO TllE 1nc11. 7 :'. IU INCltU KEUFFEL ltr 1!5~1.!R CO. MAU( IN US A. 46 0702 2-3-82 Figure 9 .. **~ .~*
- 10. 15 20 2 0 5 Frequency (Hz)
,/ / ..,...--... ~ 10 X Ill TO Tl IF. INCH 1 I X I~ INCH~5 KEUFFEL & t::SSER CO. NAOt 111 u SA.
46 0702 Normalized Power Spectral Density (NPSD) NI-08 2-3-82 Figure 10 -70 -80
-90 -100 Frequency (Hz)
,.,,,,.. -~. .... ......... ;' 46 0702
(
. Normalized P.ower Spectral Density (NPSD) NI-05 9-13-82 Figure 11 . 1~' 1111 ~ --~ --:-~ -: ~ =- :. : .-. ** *- =:; . *. -.~~-~~.*- Tr 1rr Tf . - -I -~~-~~ . - -: :_:- - *1*:. ~ ~ -_j: 't -~ :. . :_ .*_
i*~t
.. - .... _ -- *-**-- - *---I.--. - - L - -- -- --* - : :* -~ : - ~ ,_ l(L.
- L. 1' - . . . *. -. - . ~ \ . - :* _- -. ::-_ : >< ::~ _- :- = - . : .: - - ' I . .- \ *. .. . .. . - - . - . - - - ..
-90 +I d+: -:---.. : -*--~-bi\-*~~~:*-*~ =~ -*~ -* --~- --~~ _*:.~ -.. ~ :~ .---,~~I/~ . lf\ - .:~ -- --*~--= ~.=~-~ -~~- ~--~:~~ :_,_ .:j. ;~ _-:~ ~:~ ~- . ~ .
ii 11 i 11 -* -- ~~< -*-*
- v""~-~" ~ > - -
I
- -100-ti:fj_ It --._ ~~- . * : -~I}~~~~~,.,r-~""~µ~"<-*- ____ ..... _~ \".~~~ ____*:; _~-~ ~ ,__ ._ . . . _. . _. *-*
T : -_ *:_ -- --* ** -*_ *: ~ - -- : : :. --- . .. * - -- ** - -* --* --- --** * \.:~ ~: t :-....!\ I-
~ ~r-* ~- _= ~ - : .: - =. ~ _:_ -: ~ -:* : -- ~ *
- _- * - _- -- - -* -~ -. _*_ - . . . . ...* -~* ~-- :~ -~ - - .* -:* ** -._ . . -,. . . .
'"r--, :- - *: . -- - -- - ~" ~: .. ~ -: . - :.
I/ - . : ~ e
~ ~F ~ =~ ~ ~- >~ : .~- :. : : _- -*- = : - :*. _: - . _- - -- . - . . - - . : -_ . *_ - - - - - . . : \ ll ~ ~':-~ ~~ /I -I:: _- - \,;"""~ = * ~~:--~ ~-- --- --- --- ---~~ -~ ~- -~- =-: : . . -_ - -* :: -~- - -- -- -*-- - - .. - * - }1 l ]Tl - .
j I) /I,I .- ~ >- ' l i I Ii I J.j.. >-~--t--->-_-=-*= =-*::r*1-JH1 i J I I I - ' 11 . I .. 1 1 1 l L!+h+1d ,, i r1 II!- -- -----*-* . .. I , 'I. l, 1 I - Iii rn1 ii iii l 11 . I. .. . . i I ' I I i .. *. 0 rnltllt rn !JLiJ L.UL _ 5
.- J_t_JL[l~~ J ~ L_ -Lll J - . l_LiLLL Ju 10 Frequency (Hz) 15 20 2'.
.......... _ . *- .*. 1J >~Iii TO 11tt: INCH*/ x itJ 1r~1.t1f~1 46 0702 r\
Kl Uf- FLL. & l:..!.,;~CH CO M4UL IN US* i Normalized Power Spectral Density (NPSD) 9-13-82 NI-06 Figure 12
. . 1... - -----'--. -- ,_._._. __ _ ..*. -- -* - * - *. - t-- ,~ - -** - - -- - .. -* -* - * - -*1-1-- ~-L- - L -** - - -*- - ... - .. *-* - - -->--t-+-+-+-+-+--4-+--4--<
0 5 10. 15 Frequency (Hz)
....... 46 0702
(" Figure 13 l-']'T:'j- -1,r- *1*.-- Normalized Power Spectral Density (NPSD)
~ ~-:-: ~ - T : - -- ~-
NI-07 T ~ ~ ~r---- .r1 r1 r--*- *1 T 9-13-82
-i- * - *1=-.--~---~:-_~_.: -~:~~-~~--.::._*~~-= ~::-~--~.:~-~- *-:~- -~ *.: --~ ~ 1--~ _-*1 J . . . . . -* .. :_.J_ *,._ ;1*-1--jl- ____
I '- - -
- '*:~---*+.*---: __._*_: *. *:* *-* _.-
II I I I lj . _**.: *.:::==~=.:::=::.:~:-. ..: *:.
- .. - - - . - - . . - . *- . - . . . . .. . *-* - ..... I ~1=- i_ *1 f.. .-_ -:~: ~- .*:_ r.--.. --.. . ,' I -, . *:-:: ::::- :=:* : : *-* ... - ..... :, . *:1:.: ..
-10 :i---i :l11:t-J_:-_~*~*~~-=--t~:--_
- I ., . - I ** -*- *--***-~-**--- -f--: *.1 r ..J. **--*-*--.**::***~-~.~-~*~=~~:-~*-_:*~::;:*:*=~:~=*:-[]~~=~:~---~-- . .. --.... -.. -* .. . . . - 1... - .. .. ...
- \I \
- ; I -1 - - - -- - *- * - ** * *** * . *. -* -* - - -* *-* - * .1 : .. . . . . . .. . . ................ *-* - . I .... :-.*. +:: ~-
I Ji .* . T. . ~~~ -90 *l,1-- _ _*!L--.1,-. Il;!-.. ___ : __ **!- ... l\i\ - ...... - . *****-. ----~* *: --==-** _*__ *-- .vY~~r~\_.:._.:._1;1,-_1~~~11 * * -* -*- . . .:. -- *-**--*- -- -- -* :1_ --~ ~~-:*: ... ~*. .:.: -* I\1' .. - . . .... - .* - . *- : . [/ .. - f--'--... \ ) : .:. :: .: ~ -~ -~ . i 1* l I : :~!\-;~ ~ :- . : _- :. : : ~ ~~ v~ . I\ -"'r, .: : : *: _* -. :: . :
;:-11*trr. ~ --- -:*. ~ -~ -* :.... -.:. ~-~'-::. ~ -:-~ ~:.. .:..:. : ..:. _--- . -.. -- -. -- ---* ------.. - ---*- -:. -~ :.:. :.. -* - -- --.... -- - : ---* :- - -[+ - ~- i+- -:-IT.11 lr ItI .:::...: -* ~ . :/. . :/
1 1 1 I I .
! f I1l JI 1 1 '-1 I
1 1 0 HlLL 1 Jll 1J 5
. ~ <-=: -~ __J .,; _I! --~ 10 Frequency (Hz) 15 ....*.* ~~ ~**-~*- L 20 JJ!JillJ u 2'
I
\ . Lj6 0702 - ---- -*- --- -*------1--*** ....--*---**--*--f---**-*~~-*- -*-**----*- --~---1--*--l------
Frequency (Hz)
~ .... j ' I : * ** 1:* ........ \ ,,. .......
I ol 'ol ! I I ._. ,, ,, 1*:1* \~\J f;i. NI-05 12-6-82 Figure 15
; I . I . ' I i
- i iir
. ! : i ;
I -60 . ' .
' I * '
I : I
. ' ' . I ' I : ' I ..
II :. ";
, I
-70 . ; :: i ' -80
-90 -100 Frequency (Hz)
NI-06 12-6-82 Figure 16 Normalized Power Spectral Density (NPSD) I .
- I ~
-60 ! . -70
! :. ~ -80 -90 10 15 20 5 Frequenc:v (Hz)
;, ..*.\.,I** 1 *: 1:. 1: * ........., r"**,,
t',I *.: r"L1 *i. * *1*11. * .; \:.J . ,., . 12-6-82 Figure 17
~: --*-y- **~ f I :
I , I
... I : '
- t *
-60 ,
- r : :
-70 . I
- I I
-80 Frequency (Hz)
*~. ;I , , '
I ~ \: I .I * . , , , 1; ._ '*I '1 Normalized Power Spectral Density (NPSD) NI-08 12-6-82 Figure 18
- - I i : . i : : ;
i . . !~
' ,* *,. '1' II -,'; *: '; '. ;!' Ii . *'.. '. ', --.:* 1* ,- ,..i.* -;.' -*, ", ): I '; . . ., ' --.!
I i ; ' :
.' I . **
- I I
I
- ,. I : ' : ; *, *,* 1*.* ':' ,::. ;I* ,*.* ****. ; '. ; I ; I I * * : I
. \ ' ' . : I : ; j ; : j .' '; ; : : i ' ' i . I : : i ::' . I . . ! j * ' i ' ' . '
f I .
. I.:;: i ! i ': : ! I .
i' I I " . .
- i I
i ... j I I I; .
' i I;;:~ ' :; . : *. ,
- 1 ! I : : : : '
i:: . . :i! '. . I;::;' i i ' : '. . . . I : ' . -60
- : ' i I::. ' :' ;'
I l. " I' ' I ' I
! I I " : . I I ' : '. : I ' . i i :;: ' I
- " ,! : 1' ii.*.:,'_* i. , I . :
':~
- : i : 1':, ; ; , : i"~ j
'II . : l . : ; .
I :;;:' . !. ! !
.:: : : i:' ! : I I
- I ' ' .. I I
I I: I I;; .. I I ' I i ' ' I
. :. : :. 'I : '
II I : ' '
*. : 1' '
I I
! I I ,, I ' *' .: ! ' I Ii . ; : . : !
i
' : i I\ ;
1 !
- i:
! i I :
I i j : ! i I ' : I '
; I
-70 ' ' .: I 1 j i Iii; ; : : ; : : : : : . , : I : :
; : I ;; . '.I . I ..
I i I
.i : I I :
ii Ii Ii ! i ' I ' '
- i . ' II
' " i l II I : i ' I : : ' ;
I I I : ' : i I
~
I ;Ji/! 1:11 ,!i1*1I I
- 11:
I 1'::.::::: I 1:;;; :*'1,* Ii I I::::: I'
'*, :'1' *I ;. I I "
I i : \ I :\ ' !I ' ' ; i
*:
- I I I I
I I ' I '
! .*... ' ; I I I I' ' ' I .. I '
I ' i : I I 1* -80
' I I:
I I 1 i 11. I 1 I ' '1 1, : I! 1,': .: '.: :.* : :*. :. I I I I ' : I, I I 1, I II I ! *I '. ; I, I ' I I, ' I I 1 ,1 I .11*:*.: . I I I I ' ' : ' : ,. 1,' ,i j 111
'I I I II
-90 ';! I I I i w
*.:*.:i:.:i: \l1i*l,--~l'-rl*--~-I \IYn/11! '\,j~
I
*, I I !' I I I --, II I *
- I
/~\ ' i : ~
I 1'/!~~-~-(;,:'.;*.J.._i*_.>>-**1: i'.*\!!!),.111 f ; :
*1 *i\' --'.'1 *, '., :
- i I
. r'_,,'i r . ~
II
;1il,1 ;!fl,'.;;:;~ .i, ' 1 I I '
I 1
~- **i !
I 1 I II , I : I ! I ! l ' ' i : 11 '
- I , 1* 1 :*'.::i-'
' I .' *,
1
<l '
I 1
- 1 * ,
I ' :, I
, -*I<!. n : :-*,*- /1-1<: :\,.-~ *: - >-; .. ~~,,.I*--, . :,:
- ' 1' , .. \ "'1 I * ! : i I ' ' ' : i ' I I '
- : ; j :
' I
- ,. ! ,' i! 1 I '. i i 1' I t , i ., : , i e
,1 11 , ,1 11 11 : ; : . ; '.; : .: : : _: ' ; .* I I ' :' I'i I I I 1' '; i ! 'i I ' '
11i:i:1 1 ! 1: ,: 1:: iii 1 ; : : i
! ,* : II ', 'i '1 I; I: 1, *, ' I I I I I ' ' ' ' "J'- ' * ; , : :: i i ,
- I I, I . I 1, 1 : 1 1
~ ~ i ~ ; - ~-
r , 1
.; : ' -i :.
I L! ! 11 I 1' iI 1 ! 1 1 l!! 1 1 i i l i ! Ii j! !i I I!I I I 1 \ i I ; i I i l i j i i ;I i i i i I i i : \: 1
*,in, If 'f l'lilrrllnt in-ii'h '1 '1:
-10
!i iii i '!iii [.,,I - f - - 1ll1i! ![il11ill If I I -_ ~JI IJJLW 1JJ-li j:l,f i : i! i ! 1' j Li 11 , ! j ' ! 11 i i ! l i i i i I' I I I - I_!
- : : ' I i ' I ! I I ' I !! ' ! ! ' ' ' 11 :
O lluiU11l1_u111__ 5 JtdlJJ _J _Lw Jmu1 11 LL 10 Frequency (Hz) 15 -- ilill~, ii 1111i111!
l Figure 19 COH:2SEJ'!C:2 .~*JD P~L".SE. DIAG?..D,.?.IS February 1982 8 B :i 5 '.) d 5
...~37 .,/ ~ .46 \JQsY,2 r~27 I*-:-* /' ~/ *" . .i (
7ic~ 1 .5Hz !.. 31 /
'--"'-/"*
3i 2. 311::
\ _./ , . I 6 4 \t~ .58 A 1 /
0 1
.4 B
8 5 8 13 5 2iI / 71.3 11.25:-lz :'.3/
/f~I.2 \___ '\
I I
- 12. 5Hz
\~ ~
6 "'"(~49------ A 7 6 1 A 8 B B 5 8 5 x1
.-..I. . ._-.:.l2.-_/" (
(.6 Y_. 14.75Hz
~~~j ~06 .39<
18Hz 6 7 6 A 7
., 180° Pha.se 0
o ?ha.se 5,6,7,3 Excore Jetectors
l Figure 20 01r::--;:;>:;-~-JC'-' C U.1..1..i..-.a.~__..1. J...J AND PJLl\SE. DIAGR.t1J.13 September 1982 8 5 B 8 5
.5Hz 2.3Hz 6 7 6 7 8 B 5 8 5 ll.25Hz 12.)iz 6
A 7 6 7 8 B 5 B 8 14.75Hz 18Ez 6 7
. A 7 Let;enci: 0 5 ,6. 7 ,3 1 co --u o0 ?hn.se ?"hase Excorc Detectors ,\ ,3 i!ot I..:::.1;s ;3te:iCT '::ener:l-r:or
Figure 21 COIE:?:t;IIC:S /,.ND PHASE. DIAGRAMS December 1982 8 B 5 8 B
.. si .. 5 23 jVI ~* , / / ./ " ""'- t!
Ii1-25 I
.5Hz \
2.3Hz
~
6 7 A 6 7 A B
- 8. 5 B 8 5
~
6
~/J~<~5-----~
ll.25Hz ' i L44
~
I'\'?{
'-\_ ~-.....>
2
~ \ !.4 ~ 12.5Hz A 7 6 A 7 B
8 5 B 8 5
.62 ._,lo -~~
r
~**
x:. \/
.7 14.75Hz \ .39 ... ) \ 18Hz '-........__~.............. ./
6
."\. 7 6 /
A 7
~egend: 4'~ **._....
l'c,o 0
~h .'J.Se l' . 0 o ?hn.se 5,6,7,3 Excore Detectors
.... ' 'l
.-t"'**
REFERENCES
- 1. Palisades Plant Technical Specifications, Section 4.13 ..
- 2. Letter, DMKennedy to JAMeincke, "Palisades Plant - Reactor Internals Vibration Monitoring Mand N Sigma Limits", May 14, 1979.
- 3. "Calculation of the Scale Factor for Inference of Pressurized Water Reactor Core Barrel Motion from Neutron Noise Spectral Density", Nuclear Technology, Vol. 40, mid August 1978.
- 4. "Quantification of Core Barrel Motion Using an Analytically Derived Scale Factor and Statistical Reactor Noise Descriptors", Nuclear Technology, Vol.40, mid August 1978.
- 5. Reactor Noise by Joseph Thie, Rowman and Littlefield, Inc. 1963
- 6. XN-74-33, Summary of Mechanical Tests of Palisades Fuel Bundle and Component Parts, September 3, 1974.}}