JAERI -M J - Nuclear Energy Agency · Japan Atomic Energy Research Inst~tute, 1984 . SMORN-111...

J A E R I - M J

SMORN-I11 BENCHMARK TEST ON REACTOR NOISE ANALYSIS METHODS

February 1 9 8 4

Edited

by Yoshikuni SHINOHARA and J~tsuya HIROTA

E l * R C ~ f i 4 R % R Japan Atomic Energy Research Institute

JAERI-M reports are issued irregularly.

inquiries about availability of the reports should be addressed to lrformation Section. Division of

Technical Information, Japan Atomic Energy Research Institute, Takai-rnura, Naka-gun. lbaraki-ken

319-11, . l a p a n . .

Japan Atomic Energy Research Inst~tute, 1984

SMORN-111 BENCHMARK TEST ON REACTOR NOISE ANALYSIS METHODS

Edited

by Yoshikuni SHINOHARA and J i t s u y a HIROTA

+

Department of Reactor Engineering

Tokai Research Establishment, JAERI

(Received January 25, 1984)

A computational benchmark t e s t was performed i n conjunction with

the Third S p e c i a l i s t s Meeting on Reactor Noise (SMORN-111) which was

held i n Tokyo, Japan i n October 1981. This r e p o r t summarizes t h e r e s u l t s

of t h e t e s t a s well a s t h e works made f o r prepara t ion o f t h e t e s t .

Keywords: Reactor Noise, Noise Analysis, Benchmark Test , SMORN-I11

+ Spec iaLSta f f of J A E R I

J A E R I - M 8 4 - 0 2 5

CONTENTS

............................................... . 1 INTRODUCTION 1

....................................... . 2 COMMITTEE ACTIVITIES 1

................................... 3 . PREPARATION OF TEST DATA 3

3.1 Source Data .............................................. 3 ........... 3.2 Compilation. Copying and Check of the Test Data 4

............................................... 4 . TEST RESULTS 5 ................................................ 5 . CONCLUSION 6

APPENDIX A: Information Sheets Distributed to the

Applicants ....................................... 11 APPENDIX B: Digital Version of the Test Data ................. 44 APPENDIX C: Summary Report on the Benchmark Test Presented

at SMORN-I11 ..................................... 52 APPENDIX D: Superimposed Graphs of the Computed Functions .... 89

1. INTRODUCTION

In conjunction with the Third Specialists Meeting on Reactor Noise

(SMORN-111), held in Tokyo, Japan from 26 to 30 October 1981, a

benchmark test on reactor noise analysis methods was made. It was the

first trial in the field of reactor noise analysis and was performed

successfully with participation of 23 groups of applicants.

The test was designed as a computational rather than a physical

benchmark test because it was considered to be better to make a computa-

tional test first and then proceed to a physical one only if the former

was performed successfully.

The detailed information about the benchmark test results has been

shown so far only to those who attended the informal meeting of the

contributors to the test which was held in the evening of 27 October

1981, although a brief summary of the results was presented at the final

session of SMORN-111.

At the informal meeting, it was agreed to publish the results of

the benchmark test together with the related information in order that

they may be available to those who are interested in the benchmark test

performed. It was also agreed that the test data may be utilized without

any restriction for further research and that it would be worthwhile to

perform a physical benchmark test in the near future using the same

source data used for Tthe SMORN-I11 benchmark test.

Meanwhile, a physical benchmark test has recently been proposed to

be conducted in conjunction with SMORN-IV which will be held in France

in October 1984. The aim of this report is to summarize the computa-

tional results of SMORN-I11 benchmark test as well as the preparational

works by compiling the materials of interest and to make it available as

a reference material for the physical benchmark test for SMORN-IV.

2. COMMITTEE ACTIVITIES

At the 21st Meeting of the NEACRP held in 1978, it was proposed to

hold the Third Specialists Meeting on Reactor Noise (SMORN-111) in 1981

in Japan. In order to make necessary technical preparations, the

Japanese Preparatory for SMORN-I11 was organized in April 1979 as one of

the subcommittees of the Committee on Reactor Physics of JAERI. The

member of the Preparatory Committee consisted of eleven representatives

from universities, nuclear industries, Power Reactor and Nuclear Fuel

Development Corporation (PNC) and JAERI. The main role of this Committee

was to discuss on the topics to be proposed for SMORN-I11 and to prepare

necessary technical documents.

As one of the major topics to be discussed at SMORN-111, it was

proposed to make a benchmark test on reactor noise analysis. The objec-

tive of the test was to reveal computational problems associated with

reactor noise analysis and to obtain useful information for providing

some basis for standardization of data presentation.

During the first one and a half year the Committee held ten

meetings and devoted itself mostly for discussions on the benchmark test

problems as well as the major topics to be proposed for SMORN-111. It

was reorganized in November 1980 into the Technical Program Committee

under the Japanese Organizing Committee for SMORN-111.

The preparation of the benchmark test was made also in collabora-

tion with the International Organizing Committee for SMORN-I11 as well

as NEACRP. It was through these collaborations that two kinds of actual

reactor noise data, the one from the Netherlands and the other from

France, were supplied for the benchmark test. This type of international

collaboration was very important because it was one of the major topics

proposed for SMORN-I11 and also because it made the test very fruitful.

The role of the Technical Program Committee was to promote techni-

cal preparation for SMORN-111, especially for the benchmark test, while

the main role of the Japanese Organizing Committee was to coordinate the

cooperation of the interested organizations in Japan. The Technical

Program Committee held eight meetings until it terminated its role in

November 1981 shortly after SMORN-111.

As the result of the discussions made at the Technical Program Com-

mittee meetings, it was decided that the benchmark test for SMORN-I11

should be computational rather than physical one because it was con-

sidered better not to be too ambitious as the the first trial in the

field of reactor noise analysis. This decision led the benchmark test to

a success because even from the computational test many important things

could be learnt through the preparational work and the test itself.

The member of the International Organizing Committee and the

Technical Program Committee as well as those who contributed for the

JAERI-M 84-025

preparation of the benchmark test data are listed in Table I. The list

of the contributors to the benchmark test analysis is given in Table 11.

3. PREPARATION OF TEST DATA

3.1 Source Data

a. Artificial BWR-like noise data

In August 1980, the work for generating BWR-like noise data was

made at Reactor Control Laboratory of JAERI by Dr. Yamada and graduate

students of Osaka University in collaboration with JAERI staffs using

the hybrid computer installed at the Laboratory.

A theoretical model of BWR-like reactor noise, developed by Dr.

Morishima based on a simplified model of an experimental BWR (JPDR-11)

was simulated on the analog part of the hybrid computer. A seven channel

analog data recorder was used as a multichannel noise generator which

provides seven statistcally independent white noise signals.

Eight variables in this BWR model as well as two input noise

signals were recorded. The recorded time length was about six hours in

real time scale. In order to shorten the actual time required for data

recording, the data recorder was run fast and the time scale factor for

analog simulation was so chosen that the recorded signals can be repro-

duced in real time scale at a playback speed of 1-7/8 ips.

b. PWR noise data

According to the proposal made by Dr. Dragt of ECN, The Netherlands

at the meeting of the International Organizing Committee held in Paris

on 5 May 1980, an analog magnetic data tape containing the reactor noise

data taken at Borssele reactor was sent to JAERI in September 1980 from

Dr. Turkcan of ECN. The tape included twelve neutron and two pressure

signals.

c. FBR noise data

According to the recommendation made at the 23rd Meeting of NEACRP

held in Idaho, USA in September 1980 to add the Phenix reactor noise

data to the benchmark test, a data tape was sent to JAERI from Dr.

Gourdon of CEN-Cadarach, France in December 1980. The tape contained two

sets of data recordings: the first one consisting of four neutron and

six control rod acceloerometer signals and the second one consisting of

two neutron, six temperature and two flowrate signals. However, it was

decided to use only the second recording for the benchmark test.

3.2 Compilation, Copying and Check of the Test Data

The applicants to the benchamark test had been requested to write

in the Application Form about the type of data recorders available in

their laboratory for reproducing the test data. Since it turned out that

the analog data recorder of IRIG standard with 14 tracks were available

to most of the applicants, it was decided to use an analog magnetic tape

of 1 inch wide and 3600 feet long for recording of the test data and to

take roughly equal length of data from each souce data. Although only

two signals from each of three source data were to be used for the test,

all other signals that had been recorded simultaneously on the original

data tape were also copied on the tape to be distributed to the appli-

cants because it was considered that these data might be used in the

near future for a possible physical benchmark test.

The condition of recording was so chosen that the recorded signals

can be reproduced in real time scale if the tape is played back at a

speed of 1-7/8 ips in Intermediate Band of IRIG standard. The time

length for each of three sets of test data including the corresponding

calibration signals was determined, therefore, to be about 120 min. A

master tape on which the compiled data were recorded was thus made by

making necessary conversions for compilation of three source data since

the tape speed and the frequency band used in the original recordings

was not the same for these source data. A detailed information about the

test data is given in Appendix A.

The test data tapes distributed to the applicants were copied from

the master tape using the same data recorders in order to keep the same

recording condition for all copied data, taking into consideration that

low level recording noise which are dependent to some extent on the data

recorders used might be added in the process of copying. Low level

noises might have added also in the process of compilation of the test

data. In order to save the time required for copying the data from the

master tape, the tapes were run at a speed of 30 ips. The total number

JAERI-M 8 4 - 0 2 5

of the tapes thus copied was 28.

Every copied tape was checked by reproducing a l l t h e recorded

s igna l s and monitoring t h e power s p e c t r a l dens i ty funct ions f o r speci -

f i e d por t ions of t h e se lec ted s i g n a l s t o be used f o r the benchmark t e s t .

Each tape was given i t s i d e n t i f i c a t i o n number i n order t o know i f any

add i t iona l noise might appear i n t h e r e s u l t s obtained by t h e app l i can t s

due t o poss ib le noise added i n t h e process of s igna l reproduction using

d i f f e r e n t d a t a recorders . The t e s t d a t a have been s e n t from JAERI t o t h e

app l i can t s by t h e end o f March 1981.

Cer t a in por t ions o f t h e analog t e s t da ta were d i g i t i z e d and

recorded on a d i g i t a l magnetic tape and i t s copies were s e n t t o four

app l i can t s . A copy of t h i s tape was a l s o s e n t t o NEA Data Bank i n March

1981. The d e t a i l e d information about the d i g i t i z e d vers ion of t h e t e s t

d a t a i s given i n Appendix B.

4 . TEST RESULTS

There were 23 groups of app l i can t s from 9 count r ies who submitted

t h e i r r e s u l t s o f ana lys i s . This number was about twice more than t h a t

was expected by t h e Preparatory Committee.

Although the time ava i l ab le f o r reviewing t h e t e s t r e s u l t s was very

shor t before SMORN-I11 meeting, a summary repor t was prepared by Prof .

Suda o f Osaka Universi ty and was presented a t t h e informal meeting o f

t h e con t r ibu to r s t o t h e benchmark t e s t which was he ld i n t h e evening o f

27th and a l s o a t t h e f i n a l se s s ion o f SMORN-I11 on 30th October 1981. I n

Appendix C i s at tached the summary r e p o r t .

The following remarks should be made i n add i t ion t o t h e above

mentioned summary repor t .

A t t he informal meeting o f t h e con t r ibu to r s , D r . Gourdon indica ted

t h a t the re were some d i f f e rences between the power s p e c t r a l dens i ty

funct ions which were obtained f o r t h e o r i g i n a l da ta and those f o r the

copied d a t a d i s t r i b u t e d by J A E R I i n high frequency region o f t h e

spect ra . These d i f f e rences seem due t o t h e recording no i se which were

added i n t h e process of d a t a compilation and copying.

I n Appendix D a r e shown the graphs which a r e obtained by super-

imposing the r e s u l t s submitted by d i f f e r e n t groups of con t r ibu to r s .

JAERI-M 8 4 - 0 2 5

5. CONCLUSION

Although t h e SMORN-I11 benchmark test was l imi ted t o computational

one, it was successful i n showing a v a r i e t y of d i f f e r e n t p r a c t i c e s i n

r e a c t o r no i se ana lys i s performed by d i f f e r e n t groups of con t r ibu to r s

and t h e problems which must be considered c a r e f u l l y i n p r a c t i c a l app l i -

ca t ion of ana lys i s methods. From t h i s poin t of view, it can be concluded

t h a t t h e SMORN-I11 benchmark t e s t has f u l f i l l e d i t s r o l e a s t h e f i r s t

s t e p of t h e benchmark t e s t i n t h e f i e l d of r e a c t o r no i se ana lys i s and

t h a t it i s now meaningful t o proceed t o a physical benchmark t e s t a s t h e

second s t ep .

JAERI-M 8 4 - 0 2 5

TABLE I. Members of Committees and Collaborators

A. NEA International Organizing Committee for SMORN-I11

Hirota, J. (Chairman)

Bastl, W.

Booth, R. S.

Bouchard, J . Cox, R. J.

Dragt, J. B.

Edelmann, M.

Kuroda, Y.

Pacilio, N.

Johnson, D. M. (Secretary)

JAERI

GRS-Garching

ORNL

CEN-Cadarache

UKAEA-Winfrith

ECN-Petten

KFZ-Karlsruhe

Tokai University

CSN-Casaccia

NEA-Data Bank

9. Japanese Organizing Committee for SMORN-I11

Ishikawa, H. (Chairman)

Asaoka, T.

Endou, Y . Fuketa, T.

Hirota, J

Katsuragi, S.

Inoue, T.

Kokubu, I.

Kuroda, Y.

Miida, J.

Nishihara, H.

Nomura, S.

Sato, K.

Wakayama, N.

Kikuchi, S. (Secretary)

Shinohara, Y. (Secretary)

Yoshizawa, K. (Secretary)

JAERI

JAERI

CRIEPI

JAERI

JAERI

JAERI

JAERI

JAIF

Tokai Univ.

JAERI

Kyoto Univ.

JAERI

JAERI

JAERI

JAERI

JAERI

JAERI

Japan

FRG

USA

France

UK

The Netherlands

FRG

Japan

Italy

OECD

JAERI-M 8 4 - 0 2 5

TABLE I . Members of Committees and Col labora tors (continued)

C . Technical Program Committee

Hirota , J. (Chairman)

Kuroda, Y . (Vice-chairman)

Fukunishi, K .

Idesawa, M.

Izumi, I .

Kato, Y .

Matsuno, Y .

Nishihara, H.

Sa i to , K .

Shinohara, Y.

Suda, N.

Tsunoda, T.

Wakabayashi, J.

J A E R I

Tokai Univ.

Hi tachi Ltd.

TEPCO

MAP I

KEPCO

PNC

Kyoto Univ.

Tsukuba Univ.

J A E R I

Osaka Univ.

N A I G

Kyoto Univ.

D. Col labora tors f o r Prepara t ion of Test Data and Problems

Gourdon, J.

Turkcan, E .

Kishida, K .

Morishima, N .

Yamada, S.

F u j i i , Y .

Hayashi, K .

Watanabe, K .

CEN-Cadarache

ECN-Petten

Gifu Univ.

Kyoto Univ.

Osaka Univ.

JAERI

J A E R I

JAERI

France

The Netherlands

Japan

Japan

Japan

Japan

Japan

Japan

JAERI-M 8 4 - 0 2 5

TABLE 11. List of Groups of Contributors

No. Country Name organization Data Method

Bernard, P. CEN-Cadarache Cloue, J. Messainguiral, C.

FFT

FFT

FFT

FFT

FFT

FFT

FFT

B-T FFT AR MEM

FFT

FFT

1. France

2. France Leguillou, G. Gourdon, J.

3. F.R.G. Bauernfeind, V. Rosler, H. Sadtler, E. Wach, D.

4. F.R.G.

5. Hungary

6. Italy

7. Italy

Massier, H.

Valko, J.

Federico, A. Galli, C.

Giovannini, R. Marseguerra, M. Martinelli, T. Motta, M. Taglienti, S.'

8. Japan Hayashi, K. JAERI

9. Japan

10. Japan

11. Japan

Morishima, N. Kyoto Univ.

Kimura, Y. Nishihara, H.

Kyoto Univ.

Yamada, S. Kishida, K.O Nishimura, T. Bekki, K.

Osaka Univ. Gifu Univ. O

COPY FFT of A-2

12. Japan

13. Japan

Kuroda. Y. Tokai Univ.

Univ. of Tsukuba

D-2 AR ARMA

Saito, K. Konno, H. Fujita, H.

Fujita, Y. Ozaki, H.

D-4 B-T

14. Japan Copy of FFT Original-

JAERI-M 8 4 - 0 2 5

Table 11. List of Groups of Contributors (continued)

No. Country Name Organization Data Method

15. Japan Tamaoki, T

16. Netherlands Kleiss, E.B.J.

17. Netherlands Turkcan, E.

18. Netherlands Van der Veer, J.

19. Sweden Akerhielm, F . 20. Sweden Bergdahl, B. -G.

21. U.K. Rowley, H.

22. U.S.A. Kryter, R.C.

23. U.S.A. Ouyang, M.S. Wu, S.M.

NAIG

IRI-Delft

ECN-Petten

NV-KEMA

Studsvik

Studsvik

UKAEA-Risley

ORNL

Univ. of Wisconsin-Madison

Notes: Data: A - Analog data tape D - Digital data tape Number - Identification number (e.g. A-15)

B-T: Blackman-Tukey Method FFT: Fast Fourier Transform Method AR: Autoregressive Method A M : Autoregressive Moving Average Method MEM: Maximum Entropy Method

Copy of FFT Original

A-6 FFT

A-9 FFT

A-4 FFT

A-13 FFT

A-13 AR

A-17 FFT

A-5 FFT

A-12. ARMA

JAERI-M. 8 4 - 025

APPENDIX A

Information Sheets Distributed to the Applicants

This information sheet on SMORN-111 benchmark test was distributed

to the applicants about six months before the SMORN-I11 meeting with the

magnetic tape containing the test data.

Reacior Noise ,Analysis

Benchark Tes t fo r SMORN-I11

A. General Infornat ion

A . l Objective

The objective of t+ds benchmark test is to make ccmoarison among the ~ e s u l t s obtained f o r i d e n t i c a l t e s t d a t a by d e f e r e n t noise ana lys is methods and Lherwy t o iden t i fy data processing problens to be solved before a r e l i ab l e data base of processed r eac to r noise can be established. The t e s t is therefore aimed a t comgutational rathex Lhan physical benchmzk.

?he reason f o r Limiting t h e t e s t t o the comautational kenc-k are: (11 only one session may probably be shared f o r Cle benchnark t e s t discassion i n SMORN-111; (2) much more time is necessary fo r pre?h-L?g aeanugfu l physic21 benchh-k test problens and f o r the discassion, and ( 3 ) a m-u- t a t i ona l bendnark t e s t should precede a physical bencna3dik t e ~ t which may be a topic of a future meeting.

The t e s t data d i s t r ibu ted t o t he apolicant should be analysed, accod ing t o Lhe task s~ ;ec i f i ca t ion descriSed Fn C. using t 2 e methods which Lhe appli- cant wnsidezs '3 be most appropriate. m e resul.2 w i l l be compared fo r d i f f e ren t net9cds and conditions of ana lys is , e.9. analog vs. digi-41; time dam& vs. flqumcy domain; sampling i n t e r r a l ; pre-processx.~ modes, 'ecc.

A.2 Tes t Data

Xach a o o l i c a t o r qrouo of apol icants w i l l receive an analog data tape (1 in<? wide. 14 ~ b a n n e l s , 3600 f 2 e t long) i? which a r e copied rL-ee -es of noise data consist ing of a--tificial noise from Jaoan, m r s s e l e r,eactor noise from the Netherlands and Phenix reac tor noise from France. Ai thocq~ the tape contains vr-Lous data, only the da ta recorCed in Channels 1 and 2 of Lhe a r t i f i c i a l and Sorssele data. and Channels 1 and 5 of the Phenix da t a , w i l l be used for the present t e s t . As it. is intended to make a computational benchmark t e s t , t he da ta have been c!osen •’=om ;he numerical but not from t i e reac tor ;hysics m i n t of v i e w .

The p w o s e of including da t a not used in Lie present t e s t is W

convey t o e.e apolicants some pa r t5 of the o r ig ina l source data which cr~y be used in a fu ture physical benchmark t e s t i f it is considered to be useful.

The or ig ina l source data is described in d e t a i l il Appendix I , but zoce t h a t there a re some differences between the ac t aa l ordering ~f the chmnels ori the tapes disrzibured and Lhe desc r ip t ion i n ~ ! s docaent . 'or Lhe 3orssele data, Liannels I ( IN 12) and 2 (-1 on the tape a r e to be analysed and correspond W c h m e l s 9 and 10 respect ively in Table 2.1 of Appendix 1. only the sewnd recording of the Phenix da t a h+s been included on G5e tapes and channels I (TATA 20181 and 5 (ZlHXSII an the tapes a re to be ar.aLysec, correspondilq t o track numbers 3 and 2 respect ively i n T a l e 3.2 of Appendix 1.

JAERI-M 8 4 - 0 2 5

A . 3 Schedule and Mailinu Address

The source noise data fo r G'e t e s t s and tke repor-hg format w i l l be sent . to G!e agp l i cmts i? April 1981. The app l i c in t s a re requested t o send the- r e s u l t s to:

D r . J i t suya YLXrTA Japan Atomic Energy Research Ins t i22te Tokai Research Establ is .hent Tokai-aura, Naka-pn maraki-ken 319- 11 JAPAN

to a r r i v e i n Japan by the end of Auqust 1981 a t the l a t e s t , in order to make it possible f o r a repor ter to summarise 'he r e s u l t s a t SMORN-111.

A.4 Review Pmer

A review pager w i l l be presented on tke r e s u l t s of -&e benchmark t e s t . The attendance to this presenrat ion is r a t rest--cted U t..e cont-iSutors to m e benchpark t e s t , bu t is to a l l t he SMORN-111 paxtici?ants.

In L3.s review, gene-a1 c o q a z i s o n s of =.be analysed r e s u l t s a r e made and, i f there is some remarkable d i f ference , its possiSle o r ig in sriU be discussed. ill a ru l e , Lke ccntr55utor of any par-ticulx r e s u l t w i l l be identified.

During SSlORV-III, it is planned to have an info-1 'xeeting of cke c o n t r u t s r s t o tke bent?-k t e s t . h e ob]eeZve is to e labora te tile c ~ a r i s o n s and pzepae a de t a i l ed repor t , apa r t f=?m th.e SMOFN-111 pm- ceo-dings, on L.e test resul t s .

B. Descriotion of the Oat?. Tape

The data cape cnntaFns the follcwing S i ~ n a l s . i n L'e order a s shown i n Figure 1.

A: Checking s ignals a t L'e beginning of data copying. 3: AZ-dfidal noise data wit!! the o r i g i n a l ca l ib ra t ion s ignals . C: m n s e l e r eac to r noise da t a ' w i t h t!ke Origiaai ca l ib ra t ion signals . D: Pheniv reac tor noise da t a with the o r ig ina l c a m r a t i o n s ignals . E : Checki.. s i gna l s a t Lye end of data copying.

me contents of eacb noise data aze as follows: (See Appelrdix 1 f o r fur ther infonnacion).

1. A r t i f i c i a l noise

maanel No. 1: neutron dens i tv 2: vesse l oressure wiG5 addit ive noise

L a e t water ve loc i ty loca t ion of t o i l i n g b o w d a q h e a t f l u x p e r u n i t lengtk i n l e t water ent!balpy -~c i -Yu la t ion flow void v o l m in core noise source •’2 noise source f10

2. E a n s e l e reactnr noise da ta

Channel: No. 1: in-core de t ec to r s iuna l - (IN 12 3 2: ex-core de tec tor s i m a l (WG 1 3: in-core ( I N 1 5 1

ex-core in-core ex-core in-core ex-core in-core ex-core in-core ex-core pressure pressure

( I J N I (m 14 ) (D 6 2 3 ( I N 1 3 I (D 72 ) (LN 16 I (D 82 ( I N I 1 ) (D 5 2 ) I (Y101 PO011 (YA02 P o o l )

0

3. Phenix reactor noise da ta

3: ex-core ion &amber (ZlMR41 I 4 : sukassembly o u t l e t t e q e r a t u z e (TATA 21193 5: ex-core ion chamher (ZIHR51 I 6: pump i n l ec t e m ~ r a c u r e (P3NT25 I 7: pri&ry pump Elorrate (P!H@2 8: secondaq pump Zlowrate (SI.XQO1 I 9: IEX p r imaq i n l e t cemperat-re (? I .TOl 1

10: I3x secondary i l lerr tempcrac~are (S:NT01 )

The recorded data can ke reprcduced in real- t ine vhes the -ape is ,layed ba& a t 1 - i /8 i p s i n in ternec iare Band ( X G band).

Top LT of tape o a I B 2 6 s 1 76 104 133 133 1119 fee t

Sine vave(l0llz) 1 V m a

1119 11114 1158 1209 1234 2 2 1 2

LTrLow Tape p o s i t i o n

2212 2 2 2 8 2 2 3 3 3225 3230 3249 3252 3271 1-

Fig. 11 Order o f s i g n a l r ecord ing i n t h e d a t a t ape

/ " A D

Sine weve(10011z) 1 V rms

DORSSELE Noise

\ 1

4.1

OV

OV

OV

\ v A. v / D E

Sine vave(10011z)

2 Vp-,l

t0.5V

se

A r t i f i c i a l Noise

t2.OV Whits Noise

OV

3 1

S ~ n e vnve(20llz) 2 VP-P

Sine vave(l0llz) OV

2 Vp-p

ov t1.0~ ov P I I E N I X Noise

JAElir-M 8 4 - 0 2 5

C. Tasks and Relaced Infomat ion

h e t e s t data recorded in the magnetic tape cons i s t of Mree s e t s of noise s ignals . ?hey are the a r t t f i c i a l noise synthesized u s h g a hybrid computer and Ghe r ea l reac-ar noise from tua oae radng pover reac-ars. Borssele reactor (PWR) and Phenix (FSR). For each s e t of noise &a, you are requested to analyze the noise <a- recorded in channels 1 and 2 of t!e a r t i f i c i a l and SDrssele data, and channels 1 and 5 of the Phenix data, and repcrt the standard deviations and the followLTg funcrion.9 i n grapnical forn:

1 ) Normalized Auto-Corre la t ion Func t ions : 7 (T) , r&(T) 2) N o n a l i z e d Cross -Cor re l a t ion Func t ion : Z I 2 ( ~ ) 3 ) Auto Power S p e c t r a l Densi ty Func t ions : Pi ( f ) , PZ2(f) 4 ) Cross Power S p e c t r a l Den i t y Func t ion : P12( f ) 5 ) Coherence Function: Cch72(f)

Note: F o r Buffti 2 read edfix 5 i n t h e c t 3 e o f t h e Fhsnir data

C. 2. D e f i n i t i o n s of t h e Funct ions

For random v a r i a b l e s xi(:), i .e. t h e n o i s e s i g n a l s recorded i n channel

i ( i = l o r 2 ) , t h e f u n c t i o n s i n t h e t a s k s a r e d e f i n e d as fol lows: -

1 ) Normalized. Auto-Correlation Funct ion: C i i (T)

3) Auto Power S p e c t r a l Densi ty Func t ion : P i i ( f )

P i i ( f ) = C ~ ~ ~ ( T ) e x ~ ( - j ~ s f ) f l

4) Cross Power S p e c t r a l Densi ty Func t ion : P12(f)

1P l2 ( f ) I = & ? e ~ P ~ ~ ( f ) l i ' + ~ 1 m L P l 2 ( f ) f : (magnitude)

< + n ( i n t h e s e n s e o f ATANZ i n FORTWN) -r 2 P 1 2 ( f ) - where P12(f) = ~ ~ ~ i T ) e x p ( - j 2 f i ) d T

2 - 5 ) Coherence Function: Coh12(r)

2 Coh12(f) = ~ ~ ~ ~ ( f ) l ~ / P l l ( f ) P Z 2 1 f )

JAERI-M 8 4 - 0 2 5

X Format f o r araohical data oresenta t ion

Each graphica l data should be presented in t!%e format s ~ e c i f i e d . Figure must be drawn in bLa& in% wi:! c l e a r l i n e s and s izeable l e t t e r s . 1t is d i f f i c u l t t o reproduce frcm "dye-line* p r i n t s o r from p r in t s w i t 3 we& l ines . Eat! f igure must be labelled La the mar+ wit!! a t l e a s t the f igure t i t le and L!e autflor's name.

Power spec-,-a1 densit;. funeZons should be presented on a logarit!*dc sca l e of 6 (ve r t i ca l ) x 4 (hor izonta l ) decade_:. The sca l e of one decade should be equal to 4 a. U n i t s should be Bz f o r t he ve-deal axis and & for t he horizontal uis. The Prtquency range should be from ~x10-%iz t o %lo Yz.

In addition, t o f a c i l i t a t e t he de ta i led comFarison, Fower spec t ra l density functions ahould be presented on another l o g a r i t h d c scale of 4 (ve r t i ca l ) x 1 (horizontal) decade, with the frequency r s n p from 0.2 t o 2.0 Bz f o r the a r t i f i c i a l noise, from 2.0 t o 20 Hz for the aorsaele noise and from 0.1 t o 1.0 Hz fo r the Fhenix noise, respectively. In t h i s case, 6 cm. should corrsa~ond t o one decade f o r the ver t ica l axla and 16 c;l. t o one decade for the horizontal exis.

The phase of the c - ~ s s power s p e c r a l dens i ty funct ion and the cohe-~nce function should be presented on l i x e a r s ca l e f o r Lye v e ~ d c a l axes, -while the hor izonta l axes should be t h e same a s In the case of p e r spec t r a l dens i ty functions. 10 cn. %%auld c o r r e s p n d to (0 to 1) f o r the cohezence and (-x to +n radian) f o r t he phase, r e q e c d v e l y .

Ncrmdised m r r e l a t i o n functions should be presented on l i n e a r s ca l e ktii f o r v e r t i c a l and hor izonta l axes. 10 a. should correswnd to (0 to 1) fo r t he ve-=tical and (0 to 10 sec) f o r t h e hor izonta l axis, rexrectively. If the corre la t ion function does not decay s u f f i c i e n t l y a t the Lag time of 10 sec., a m t h e r graph should be added taking 10 a. f o r 100 sec.

b c a t i o n of the data points c o e u t e r should be indica ted i n your w p h s o r in the fern of a List.

Zrote: I f the spec i f ied f o r a t size is n o t ccnvenient f o r you, you - may choose another graph s i z e keeping the r a t i o o f v e r t i c a l to horizontal sca les the same as that f o r the case above and n o t changing L2e graph s i z e slgPificantLy.

C.4 Questionnaire

The applicants to the t e s t s a re requested to f i l l In the questionnaire in D. I?lis i n f o m t i o n w i l l be usefu l f o r zaking comparisons -ng M e t e s t r e s u l t s reported.

JAERI-M 8 4 - 0 2 5

D. Questionnaire

Name:

Organizati'on:

Business Address:

From where did you obtain the t e s t data?

( a ) [ I JAERI (b) [ ] NEA Data Bank (c) C 1 Others

If your answer is ( a ) , please write the ident i f ica t ion number of the

tape.

I f the answer i s ( c ) , please specify the source o f the data and the

means of acquisi t ion.

I f the t e s t data analyzed i s i n analog forn, please wri te the model

and its main speci f ica t ions of the data recorder.used fo r playing

back the tae.

If the source noise data analyzed i s i n analog ?om, please answer

how yoil processed the data.

(a) [ 1 processed i n analog form throughout the analysis . (b) [ ] processed i n d ig i t a l form e x c q t f o r analog-digital

conversion of the source noise data a t the ou t se t o f the analysis.

( c ) [ ] combination of analog and d ig i t a l processings.

I f your answer i s , ( h ) or (c), please wri te the number of b i t s f o r

quantization of the analog noise data.

4. The systm used for analyzing the data is

(a) [ 1 comercially available. b [ specially organized by yourself.

If your answer is (a), please write the model of the analyzer.

-- -

5. Please draw the block diagram a f your data analyzing syste!.

JAERI-M 8 4 - 0 2 5

6. Does your analysis include pre-processing of t he source noise da ta?

(a) [ I Yes Cb) C I No

I f your anwer i s "Yes", please speciff t he type of pre-processing.

7. h a t type of method did you use f o r a n a l p i n g the data? (a) [ 1 Blaclsnan-Tukey method (b) [ 1 Fast o r Direct Fourier T r a n s f o n method ( c ) [ 1 Auto-regressive (moving average) model f i t t i n g (d) [ 1 Maximum entropy method (e) [ ] Others

Please s t a t e the spec i f ic f ea tu re of your algorithm, the order o i

t he AR model, the c r i t e r ion f o r de t emina t ion of t h e order of t he model, etc.

8. Please wr i te yo8- analyzing condit ions in the form of t he t a b l e

attached with t h i s questionnaire. I f t h e space i s not enough, please use separate sheets f o r addi t ional information.

Directions fo r f i l l i n g the tab le .

( a ) Since the frequency resolu t ion depends- upon the analyzing method, please specify the de f in i t i on of t h e frequency resolution which you used.

(b) I f the data analyzed i s in analog form, the data length used fo r an analysis should b e expressed by the time spent fo r retr ieving the analog da ta required f o r an analys is a t the playing back speed of 1-7/8 ips.

( c ) Please wri te in columns ( 7 ) and (8) only iden t i f i ca t ion numbers of your descript ion of the f i l t e r ( F ) and window ( W ) such as F1, FZ, F3, o r ' d l , WZ, 'd3, etc. . and i t i s requested to use separate sheets f o r describing f u l l i n i o m t i o n concerning f i l t e r s and windows suc9 as t r z n s i e r functions of f i l t e r s , correlat ion functions of windows o r graphical presentations of t h e i r c h a r a c t s r i s t i c s .

JAERI-M 8 4 - 0 2 5

g. Numerical data obtained by the analysis .

1 ) . Standard deviation OT the noise recorded in Channel 1

Ar t i f i c i a l noise: 8orssele noise : Phenix noise :

2) Standard deviation of the noise recorded i n Channel 2

Ar t i f i c i a l noise: 8orssele noise : Phenix noise :

10. Error evaluation (optional 1. Please ccment on the e r ro r evaluation of your r e s u l t s , and super- impose the error-bar on your graphical data i f possible.

11. Please write o ther findings i f any.

12. Please write your coments and suggestions concerning the bencn-

mark t e s t .

(4)

r h t a l e n c t h used f o r un ~ t n n l y s l s

l u e c l

[ T o t a l f r e q l ~ r n e y range nnulyzed i u from

: o c n l ( ~ ~ n g t l i 1 ~ r . e ~ ~ L C y nnnlvred r e s o l u t i o n

JAERI-M 84-025

APPENOIX 1

Descripciou of the recorded noise daca

1. Xr+Lficial Noise data

A s L p l C i c d to i l ing wa*m reacmr &el of JPOR-I1 vas b u i l t on a h y b r i d . a = u t e r . Indepenc2ent ar6ificial noise s igna l s fin noise g e s u a t o r a a re fed to the &el at a feu pain-. Fig.l.1 shows a e block diagram of the linearized -el of um.9-11.4 the t-ansfer functkms with arbitrary parameters are Listed in Table 1.1.

Noise si5A- rec3rded are adjusted so. *t they have the same order o t standard d e v i a t h , and coherence, Punc50ns aEroa& to Mi ty a t hisher f r e ~ e n c y due to t t e &el vithout det&ion noise.

The recsrded coise sisnals of the selected ?stear variables are a s follovs:

Channel. 1 : 3 Neutron Density 2 : -Vessel Pressure 3 : x3 Voad Volume iix Cars 4 : x4 Eeat PPa per U n i t Length 5 : x Inlet Water Velccity 5 6 : xs Locrtion of Boiling B c ~ ~ 7 : x7 I n l e t Water EI1*Aalpy 8 : .x Xeci-culatiau FLav 9 : ~ o i s e source f 10 : Nobe S O U = = <

Peedbnok Controller

Neutron Fual Ifeat

Steam Flow

A . Feed Vater Flow Core V o i d Dynamics 1 '

Enthalpy IJnter

rlg. 1.1 mock dlagram o f the linearized model of JPDR-11 for tho nrtlllolnl aynthaaized noine.

JAERI-M 84-025

T a b l e 1.1 -ansfel: Puxt ions

Q CPgtMf

-1

-1 Gvl(s) k v l [ l ~ l s I GbZ(8) -*ant I Gv2 1 kv2bvz*v2 (l+Tv2s)-+ Gb3 ( 5 ) k b 3 e q ( - r d s )

I -1 Gv, ( s ) kv3[1 + Tv3sl )Cb4[1 + ~ ~ ~ s 1 - l

kelGe2(s) + kels

GYt(s) kwlIaWt + bW2s1 I I Gy2(s)

GV3(5) i

Ge2(=4 1 ke2r ( l + + ) - ' - ( l + ~ ~ = ) - +

G,, ( 5 ) kaG,(S) I constant

-1 kw3[1 + TW3S1 Ge, ( s ) ke4Ge2 t s )

2. Borssele Reactor Noise d a t a (Original t ape from D r . E. ~ ; r k C a d

Reactor: The r e a c t o r of the 450 W e p w e r s rac ion a t Borssele is a mTR v i t h ~o p r h a r y c o d a n t loops, b u i l t by FJJ.

P;" - 447 MJ Boron concentration - 750 ppn.

Detectors: Ion-chambers madel KNU-42 (Excore) (see f i g . a ) Incore neucron dececrors - Cobalt seif-povered neutron

desecrors (20 a - s e n s i t i v e length) .

Electronics: See f i g . 2.2.

Tarre recorder:i\mpex rj-pe~ PX 2200. M, I " rape.

Data recordin%: 3 3 / f , i p s (dc to 1.25 kHz, SIN - -41 db). Incerr.ediate band. Hxrzconic d i s t o r u o n 1 . X . I v o l t n s . l eve l .

Concenc of the da t a tape:

.Footage counrer ( f e e t )

- 2000 mV dc + 500 nV dc + 2000 mV dc + 3500 mV dc White Noise (about 21.0 mV n s ) Sinus 20 Hz (19.9 Hz about 4VCt) Borssele Reactor Hoise Data 2 2126 ( s ee following t ab l e ) Zero Inout

JAERI-M 8 4 - 0 2 5

Table 2.1

Borssele Beaccor Noise Da:a

Data Reca~ding: 3 3/4 ips. footage u n n t e r ( f t ) : 275 to 3419 f t .

CH?mEL DETECTOR CS24 ~ ( i n V l

Iden:. of Noise (0.01 to (dc i n V) Ino. 32 Xz)

1. In Core 2. Ex Core 3. In Core 4. Ex Core 5. In Core 6. ExCore 7. In Core 8. Ex Core

9. I n Core 10. Ex Core 1 I . I n Care 12. Ex Core 13. Pressure 14. Pressure

.IT 16 D 82 IN 15 LIX IN 14 D 62 IX 13 D 72

IN 12 LOG IN 11 D 52 u 0 1 PO01 YAOZ PO01

Prbary sy ten pressure siwls range- 130-150 k g f / ~ ~ (50 kgflcn3 - 1 v o l t ) .

Noraalizadon of da ta during- t he anal+s:

A. r e su l t s i n Volt ar v o l t 2 / ~ :

scale A - range of ACC i n Volt X

1

zX k in of Anplif ier

x - umber of. b i t s of ADC.

B. Hormalized data:

sca le B - sca l e A x 1 mean ( i n Volts)

(e.g. f o r neuezm detec tor s ignals )

C. Norsalization t o physical upis:

sca l e C - sca l e A x b n g e ( i n physical WACS)

e.g. fo r pressure s ignals .

Note: h e t o the add i t i ona l f i l t e r a+. in-core neitxon de tecmr c i r c u i t - (Xrohn-Bite) one w i l l find:

a t 9.2 Hz ( r e a c t i v i t y ~ f f r c t ) . phase between a l l ex-core n-detectors - 00 p'hase becveen a l l in-core n d e t e c t o r s - 00, but phase between i n r o r e / e x i a r e - -550.

JAERI-M 8 4 - 0 2 5

IN-CCE N E W R C N DETECTCRS

I -t EX- CORE. NEUTRCN DETECTORS

Pig. 2 . 2

B O n s s ~ t E E X p E RIMENT: ~ i o c k diagram of the1 instrumentation

I - - - - - 1 - Incore

Krohn-Hite n- det. 40 HZ

-a rWoct.

- Excare

n-det. r - - - - I - I Pressure - det. Borssde instr. Noise amplifiers Filter M -AMPEX

f, '100 Hz high pass: 0.01 Hz 40 1-12 -1 2 dB/bct

PR 2203 Low pass

low pass: 40 Hz -36 d ~ / o c t 33/4 IPS

1.1 - Recordina Mode ( f o r a l l the tracks) :

1.2 - Recordinu and producing speeds : macnetic :aoe reccrler

-The t a p e is -he recopy of tiio .?istinct zec3rr ' lnss

- S p e c i f i c a t i o n s , o r tbe t q e ~ ' S l i s z t i o n , a r e

given i n tlle fo l l owing t a b l e 3.1.1.-

- The f i p r e 3 . l l e s c r i h e s <be r s ccpy 3 r o c e s s .

JAEW-M 8 4 - 0 2 5

1.4 - C e f i n i t i o n o f the o a r m e t e r s used and s;mbols

Five parameters are given f o r t".e r-rL7g ex7lc)itzt ion

1 - total e lec tron ic gain - G

2 - cut o f (low pass) f r e r ~ e n c y

of t5e isolaLed z n g l i f i e r .- r2 3 - High pass frequency

o r

the indicat ion o f z DC c~mpensaticn

4 - Sens i t iv i ty o f +he . "-1 detector i n " v o l t [Physical un i t s , d.

5 - The mean value i n "physical units" X

or i n "vo l t"

(v is given .before a m p l i f i c a ~ c n )

JAERI-M 8 4 - 0 2 5

2.1 - General view

a Phenix Inskumentation l o c a t i o n : the l e f i n i t i o n o f Lie

code number " " is g i v e n i n the t a b l e 3 .2 .1 .

only some d e v i c e s 1 between 3 pri.arrj pmps

are " 3 secondary punps represented : 6 c o n t r o l rods

3 i n t e n e d i a t e h e a t exchansh:

Fiq.3.4 : Schema t i c v iew o f P U E N X

JAERI-M 8 4 - 0 2 5

i l i on chambers ' i n CJE"

T a b l e 3.2.1

! acce1erameters located nea r t h e top 1 t o BMG 01

3 of t h e con t ro l md mechanisms BCMG 06

-

o u l e t temperature o f a

s u b a s s e m b l y

Used synool

Z 1 HR 4 1 2 1 MR 51

P

r Number

1:

1 TATA TAX- I

physical deiini:ion

ion chambers."out o f c c r e " and "under the vesse l"

code number o f the subassemoly

pump i n l e t t z a p e r a t u r e = P3 MT 25 care i n l e t t enpe ra tu re I

1 I n t e r n e d i a k h e a t exchanger : I P1 M T 01 primary i n l e t temperature I

7

PRIMARY Loop P!MTO 1

TATA ---2

I n t e m e d i a t e hea t exchanger and

secondary loop : secondary i n l e t tempe-.

r a t u r e

Generator 1 r Pl MQ 02

S l MQ 01

8

9

. 3.5 : Bloc scheme r e o r e s e n t a t i o n

-

Primary pump flaw meter

( e l ec t romagne t i c )

Secondary pump flow meter

( e l ec t romagne t i c )

JAER-M 8 4 - 0 2 5

2.2 - Some Cetectors characteristics

a/ - Ie_pea_?ir_$

Sens i t i v i ty o f Lke c?uornel/aluel t~e-Tocoup~es : 42.10-' volt . 'c- ' Core o u l e t tenperatuze pos i t ion : see f l w e 3 . 4 .

b/ - Ne_u_tl-d_e_gs?srs

Four ion chcmbers can be used f o r noise measurements.

The following table o r figures g ive t ie bas i c charactar ls t ics of a e s e detectors .

Table 3.3.1

I IW41 I cC5 I y compensa:ed I . - I 4 1 . 7 . 1 0 I b..der the ion chambey vessel I

Symbol Technical code

ZIEIRSl j

In a l l the cases a linear current electronic device i s u'sed.

ZINR12 C N C O Z

basic charx3r i f l i c s

1 -

(Bore) see Figure 3 - 6

High temoerature Fission chamber (gas cooled)

sensi t iv i ty I

A X [ ~ ~ C : ~ ~ - ~ S ~ C - ' I -

13 2.10-

PHENIX Position I

JAERI-M 8 4 - 0 2 5

Tahle 3.1 - P i r s t recor&ltnc :

30 feec to 1700 Leer

(Sea d l e s 3.1. I and 3.2.11

able 3.2 - Second recordina :

1800 feet to 2520 feet

(See ~ a b l e s 3.1.1 and 3.2.1)

- X

hysical units

Volt [Volt/Physical I unit1

3 .3 - P H E I U X o p e r a t i n g pa ramete r s du r ing t h e s e r e c a r d i n g s

Date : 1980, october

Thermal Power : 588 MW

Elect- ical Power : 258 MW

Core t emperae~re r i s e : 168 'C

(mean value)

Rotation soeeds of the :

- 3 primary p u ~ s : 820 r/minute

- 3 secondary p w s : 800 r/minute

P!IENIX : OUT OF COPE NEUTRON DETECTORS POSITION

Pl lEN lX : I N CORE NEUTRON DETECTOR POSITIONS - Fig. 3.7

JAERI-M 8 4 - 0 2 5

JAERI-M 8 4 - 0 2 5

APPENDIX B

Digital Version of the Test Data

A part of the test data was digitized, recorded on a digital

magnetic tape and sent to NEA Data Bank. Detailed information on the

digitized test data is given in this Appendix.

JAERI-M 84-025

Reactor Noise Analysis

Benchmark Tes t f o r SMORN-I11

D ig i t a l Version of Analog Test Data

The d i g i t a l vers ion of the t e s t da t a was made by d i g i t i z i n g a p a r t of

t he analog da ta o r ig ina l ly f o r the SMORN-111 benchmark t e s t data through the

data processing a s shown i n Fiqure 1.

1. F i l t e r i n q of the analog t e s t da ta

Taking i n t o account t h e problem of a l i a s i n g which may occur i n da ta

sampling, t he second order analog low pass f i l t e r is u t i l i z e d before sampling

the data. The f i l t e r w a s designed t o have cut-off frequency a t 64 Hz f o r t he

a r t i f i c i a l and Borssele data, and a t 128 Hz f o r t he Phenix data, respec t ive ly .

2. Amdif i c a t i o n

In order t o reduce quantizat ion e r r o r which may place i n A I D conversion

of the t e s t data, the output s igna l s from analog data recorder were

pre-amplified by appropriate f a c t o r i n each case a s shown i n Table 1.

3. Sampling

The analog da ta were fed i n t o d i g i t a l pa r t of t he hybrid computer EAI

PACER-600 (ASCII code) through A I D converter with 1 3 b i t s . The value 1.0 i n

sampled da ta corresponds t o t h a t of 1 /3 V i n the analog data only except f o r

the case of channel 1 i n Phenix data, which corresponds t o 11150 V.

3.1 Samolina i n t e r v a l

The da ta were d i g i t i z e d with sampling. i n t e rva l s , A t = l O msec f o r the

a r t i f i c i a l and Borssele data, and At=5 msec f o r t he ~ h 6 n i x data, respec t ive ly .

The sampling i n t e r v a l s were s o determined t h a t t he frequency c h a r a c t r i s t i c s

contained i n the analog data might not be d i s t o r t e d by the d i g i t i z i n g procedure

within frequency region required f o r t he ana lys i s of t he benchmark t e s t .

3.2 Number of sampled data

Because of t he l imi ted capaci ty of t he disk memory i n PACER-600, only

two s igna l s required f o r the benchmark t e s t were d ig i t i zed . The number of

sampled da ta is about 167,00O/channel, covering only 114 o r 118 of the

analog t e s t data a s shown i n Figure 2.

4. Recording on d i g i t a l magnetic t a o e

Using FACOM M-200 computer, t h e sampled d a t a were conver ted from ASCII

code t o EBCDIC code (IBM compat ible) and were recorded on t h e d i g i c a l magnetic

rape.

Th i s d i g i t a l v e r s i o n of r e s t d a t a c o n s i s t s t h r e e d a t a f i l e s i n t h e

o r d e r of t h e a r t i f i c i a l , B o r s s e l e and Phgnix d a t a . Success ive t h r e e f i l e s

a r e each s e p a r a t e d by a "Tape mark". End of t h e d a t a r e c o r d i n g is s p e c i f i e d

by two Tape marks a s shown i n F i g u r e 3.

Each f i l e c o n s i s t s of 82 "Blocks". And each Block c o n s i s t s of 32 "Records"

One Record is 128 "Words" (512 b y t e s ) . The record format i s "Fixed Block".

The sampled d a t a i n each f i l e were w r i t t e n w i t h t h e a l t e r n a t e ar rangement

of channel 1 and channel 2 ( o r 5) as shown i n the bottom of F i g u r e 3. The

con ten t can b e l i s t e d a s f o l l o w s ;

The magnet ic t a p e d e v i c e used f o r r ecord ing t h e d a t a i s 9 t r a c k s and

1 ,600 BPI.

To s ~ n n a r i z e ;

TRK : 9 RECFM : FB BPI : 1,600 LRECL : 512 b y t e s CODE : EBCDIC BLKSIZE : 32 r e c o r d s LABEL : NO LABEL each FILE : 82 b l o c k s

5 . Reference d a t a

The l is ts of t h e o u t p u t d a t a cover ing on ly f i r s t and second Blocks o f

each f i l e is a t t a c h e d i n Appendix 1. The p l o t t e d g raphs of t h r e e d a t a a r e

s h o w i n F i g u r e 4, 2, 5.

JAEW-M 8 4 - 0 2 5

M-101 Fi l ter ing

Amplification

E.41 PACER-600 AID conversion

Data store Disk f i l e s

FACOM M-200

Code conversion e-l Editing

Figure 1 The procedure of making the d i g i t a l version

Table 1 Paramete r s o f d i g i t i z i n g

L.

% E g co P

0 N u1

Data s e t Analogue

t a p e channe l number

3.0 5

V a r i a b l e name

A r t i f i c i a l d a t a

Borsse le d a t a

Phgnix d a t a

Ex-core i o n chamber (ZlMR51 )

3.0

3.0

3 .0

3.0

150.0

1

2

1

2

1

64

64

128

Ampl i f i ca t ion f a c t o r

10

1 0

5

Neutron d e n s i t y

Vesse l p r e s s u r e w i t h a d d i t i v e n o i s e

In-core d e t e c t o r s i g n a l (IN-12)

Ex-core d e t e c t o r s i g n a l (LOG )

Subassembly o u t l e t t empera tu re (l'ATA2018)

LPF Cut-off

f requency ( L I Z )

166,877 / channe l

166,687 / channe l

Sampling i n t e r v a l

(msec)

Number of sampled

d a t a

JAERI-M 8 4 - 0 2 5

(1) A r t i f i c i a l daca

139 / Sampled area (26.9%) 1119 f e e t

i5 0 406 f e e t

(2) Borssele data

1234 Sampled area (26.9%) 2212 f e e t

1506 f e e t

(3) P h h i x data

2233 J Sampled area (14.5%) 3225 f e e t 1 " 7

f \ l & ~ \ 2240 2368 f e e t

Figure 2 Sampled area i n the analogue t e s t tape

Load po in r Tape mark 4

Tape mark 4 b Tape h mark

Y V Y V V V V - V V V V V., x : x r x r X , . X * X , . X ; Channel 1

I

F i l e 1

\ I

1 Y ; Channel 2

F i g u r e 3 Record format of t h e d i g i t a l t a p e

a A r t i f i c i a l d a t a B o r s s e l e d a t a Phenix d a t a

Block 1 82 1 F i l e = 82 Blocks

(1,343,488 b y t e s

F i l e 2

(16,384 byees;

1 word

[ml) 1 2 124 2181 26 127 28 1 Record = 1 2 8 Words

- - - - - - - - - - A - - - (512 b y t e s ) 4 i N N O W * * N N m C I - 3 - 3

\O - 0 - \ D \ O

Recor 1 2

F i l e 3

3 4 1 1 Block = 32 Records

JAERI-M 8 4 - 0 2 5

Figure 4 Time s e r i e s graph of the a r t i f i c i a l data (F ir s t and second Blocks)

Figure 5 Time s e r i e s graph of the Borssele data (First and second Blodrs)

Figure 6 Time s e r i e s graph of the Phenk data (F ir s t and second Blocka)

JAERI-M 8 4 - 0 2 5

APPENDIX C

Summary Report on t h e Benchmark Test Presented a t SMORN-I11

The summary r e p o r t given i n t h i s Appendix was presented a t t h e

f i n a l s e s s ion of SMORN-I11 a s well a s a t the informal meeting of t h e

benchmark t e s t con t r ibu to r s . A p a r t of t h i s summary r e p o r t i s included

i n the proceedings of SMORN-111, i . e . Progress i n NUCLEAR ENERGY, Vo1.9,

published by Pergamon Press i n 1982 .

JAERI-M 8 4 - 0 2 5

Summary Report

on

Reactor Noise Analysis Benchmark Test

Faculty of Engineering Science Osaka University

Osaka, Japan

Abstract

:actor with S X

noise analysls benchmark t e s t has been carr ied out i n conjunction IRN-111. The t e s t is aimed a t computational r a the r than physical

benchmark. Three types of the source data a r e analyzed: an a r t i f i c i a l noise generated by computer simulation of BWR, r e a l reac tor noises of a PWR and a FBR. Twenty three groups of s p e c i a l i s t s contributed to the t e s t . Generally speaking, the computed r e s u l t s agreed one other q u i t e well. Some discrepancies were observed i n a few exceptional cases. Through t h i s experience clues f o r making r e l i a b l e data base of the reactor noise a re obtained and we a r e encouraged to proceed to a physical benchmark t e s t .

Keywords

Reactor noise, power s p e c t r a l density, corre la t ion function, coherency, PVR, FBR.

Objective

The objective of t h i s benchmark t e s t is t o make comparison among the r e su l t s obtained f o r iden t i ca l t e s t data by d i f f e ren t methods for the noise data analysis and thereby t o iden t i fy data processing problems to be solved before a r e l i a b l e data base of the processed reactor noise can be established.

The reactor noise analysis may be divided in to two stages. F i r s t the source data a r e processed, in some way o r o ther , t o obtain the s t a t i s t i - cal descr ip tors , such as the power spec t ra l density, the corre la t ion function, the coherency and so on. Then the physical in t e rp re ta t ion of these descriptors leads t o the physical conclusion: the parameter e s t i - mation, the anomaly detection, , the reactor noise model and so forth. The present benchmark t e s t is l imi ted to the f i r s t s tage, and thus i t is a "com?utational" ra ther than "physical" benchmark. Such a t e s t should proceede a physical benchmark t e s t which may be a topic of some future

meet ing.

Arrangements of t h e T e s t

The arrangements o f t h i s benchmark t e s t was made under c o o p e r a t i o n of a n d e r o f s p e c i a l i s t s .

D r . Morishima of Kyoro U n i v e r s i t y has long been working on t h e BWR n o i s e model. Be has shown t h a t , i f s u i t a b l e n o i s e s o u r c e s a r e assumed i n t h e s i m p l i f i e d model of J P D R I I developed i n JAE31, t h e computed power s p e c t r a l d e n s i t i e s a g r e e d ~ t h t h o s e by e.uperiments. I t was dec ided , t h e r e f o r e , t o a d o p t t h i s model f o r s y n t h e s i z i n g an a r r i f i c i a l no i se . The model was s l i g h t l y modi f i ed f o r e a s i n e s s of s i m u l a t i o n . The a r t i f i c i a l n o i s e was g e n e r a t e d w i t h t h e JAERI h y b r i d computer by D r . Yamada of Osaka U n i v e r s i t y a n d g r a d u a t e s t u d e n t s from Osaka and Kyoto U n i v e r s i t i e s , i n c o l l a b o r a t i o n w i t h t h e JAEiU s t a f f .

D r . Turkcan of ECX-Petten s u p p l i e d t h e n o i s e d a t a of t h e B o r s s e l e r e a c t o r , a 450 We PWR.

D r . Gourdon of CEA/CEN-Cadarache s u p p l i e d t h e n o i s e d a t a of t h e Pinenix r e a c t o r , a 260 MWe FBR.

Thus t h r e e s e t s of s o u r c e d a t a , one a r t i f i c i a l and t v o r e a l r e a c t o r n o i s e , were a v a i l a b l e f o r the t e s t . They were compiled and recorded on t h e magne t i c t a p e (1 inch v i d e , 1 4 channe l s , 3600 f e e t long) i n t h e o r d e r a s shown i n F i g u r e 1, where

A: Checking s i g n a l s a t t h e beg inn ing of d a t a copying. B: A r t i f i c i a l n o i s e d a t a w i t h t h e o r i g i n a l c a l i b r a t i o n s i g n a l s . C: B o r s s e l e r e a c t o r n o i s e d a t a w i t h t h e o r i g i n a l c a l i b r a t i o n s i g n a l s . D: Phenix r e a c t o r n o i s e d a t a w i t h t h e o r i g i n a l c a l i b r a t i o n s i g n a l s . E: Checking s i g n a l s a t t h e end of d a t a copying.

The c o n t e n t s of each n o i s e d a t a a r e shorn i n T a b l e 1.

S i n c e t h e r e c o r d i n g speed of t h e o r i g i n a l t a p e s were n o t t h e same, t h e c o n v e r s i o n of s p e e d was necessa ry t o u n i f y t h e speed i n such a way t h a t t h e r ecorded d a t a c o u l d b e reproduced i n r ea l - t ime when t h e t a p e was p l a y e d back a t 1-318 i p s in I n t e r m e d i a t e Band (IRIG band) .

The Herculean t a s k o f r e c o r d i n g , c o n v e r t i n g t h e speed o f , and d u p l i c a t i n g t h e d a t a cape was performed by tfr. Shinohara and h i s s t a f f a t JAERI. Moreover, they tested each and every r e a l of t h e d u p l i c a t e d t a p e s b e f o r e d i s p a t c h i n g . The tests i n c l u d e d e v a l u a t i o n of t h e rms v a l u e and t h e power s p e c t r a l d e n s i t i e s and a l s o t h e v i s u a l i n s p e c t i o n by r e c o r d i n g on a chart r e c o r d e r . They n o t i c e d t h a t some amount of h igh f requency re- c o r d i n g n o i s e h a d mixed i n t o t h e o r i g i n a l n o i s e d a t a i n t h e c o u r s e of t h e above mentioned dubbing p rocess . Its e f f e c c , however, was judged t o be i n s i g n i f i c a n t f o r the p r e s e n t computa t iona l benchmark t e s t .

I n t h e meantime the a p p l i c a t i o n forms were d i s t r i b u t e d through t h e rneaber o r g a n i z a t i o n of N E L A p p l i c a t i o n was made by 25 groups o f s p e c i a l i s t s .

JAERI-M 84-025

A r e e l of d a t a t ape was s e n t t o each of t he se groups, toge ther with t he t a s k d e s c r i p t i o n and a ques t ionna i re about t he a n a l y s i s . Twenty t h r e e groups submit ted t h e i r r e s u l t s of ana ly s i s . The l i s t of t he con t r i bu to r s is given i n Appendix 1.

The t e c h n i c a l program committee met s e v e r a l times t o f i x t he d e t a i l s of t he arrangements and t o d r a f t t h e t a s k de sc r i p t i on and t he ques t ionna i re . D r . Kishida of Gi fu Univers i ty a s w e l l a s D r s . Yamada, and Morishima jo ined in t h e s e meetings.

Tasks

Although t h e tape contained va r i ous da t a a s shown i n Table 1, only t h e da t a recorded i n C h a ~ e l s 1 and 2 of t he a r t i f i c i a l and Borssele da t a , and Channels 1 and 5 of t h e Phenix da t a , have been used f o r t h e p r e sen t test. As i t is intended t o make a computational benchmark t e s t , t h e data have been chosen from t h e numerical bu t n o t from t h e r e a c t o r physics po in t of view.

The purpose of inc lud ing d a t a n o t used in t h e presen t t e s t is t o convey t o t h e app l i c an t s some p a r t s of t he o r i g i n a l source d a t a which may by used i n a f u t u r e phys i ca l benchmark t e s t i f i t is considered t o be usefu l .

For each of t h e t h r e e sets of n o i s e da t a , t h e app l i c an t s were reques ted t o r e p o r t t h e s tandard d e v i a t i o n and t h e fol lowing func t ions i n g r aph i ca l form:

- 1 ) Normalized Auto-Correlation Functions: C (T), z Z z ( ~ )

-11 2) Normalized Cross-Correlation Function: C12(T) 3) Auto Power S p e c t r a l Density Funct ions: Pl l ( f ) , PZ2(f ) L ) Cross Power S p e c t r a l Density Function: P12(f) 5) Coherence Function: ~ o h : ~ ( f )

where t he s u f f i x 2 should be rep laced by s u f f i x 5 i n t he case of t h e Phenix da ta .

For random v a r i a b l e s x i ( t ) , t h e func t ions i n t h e t a sk s a r e def ined as fol lows :

- 1) Normalized Auto-Correlation Function: Cii(T)

Cii(T) = Cii(T) / Cii(0) - where Cii(T) = E[xi(t)xi(t+T)l - { ~ [ x ~ ( t ) 11' - 2) Normalized Cross-Correlat ion Function: C12(T)

- C12(T) = C12(T) / fC,(O) C2,(0)

where C (TI = E[xl(t)x2(t+T)] - E[xl ( t ) ]E[x2( t ) ] 12

3) Auto Power S p e c t r a l Densi ty Function: Pii(f)

Pii(f) = Ci i (T )eq ( - j 2 f )dT

4) Cross Power S p e c t r d Densi ty Function: P12(f)

JAERI-M 8 4 - 0 2 5

The power s p e c t r a l denz j ty f unc t i ons should be presented f o r t he f re - quency range from 5x10 Hz t o 5x10 H z . I n a d d i t i o n , t o f a c i l i t a t e the d e t a i l e d comparison, g r aph i ca l d a t a i n an e.xpanded s c a l e were requested f o r t h e frequency range from 0.2 t o 2.0 Hz f o r the a r t i f i c i a l no i s e , from 2.0 t o 20 Hz f o r t he Borsse le no i s e and from 0 . 1 t o 1.0 Hz f o r the Ehenix no i s e , r e spec t i ve ly .

Normalized c o r r e l a t i o n func t ions should be presented f o r t h e l a g time from 0 t o 10 sec . If t h e c o r r e l a t i o n func t i on does no t decay s u f f i c i e n t l y a t t h e l a g time of 10 sec . , ano the r graph should be added i n a . con t r ac t ed s c a l e f o r 0 'L 100 s ec .

Location of t he d a t a po in t s computed should be i nd i ca t ed i n graphs o r i n t he form of a l i s t .

The app l i c an t s were requested t o p r e sen t t h e i r r e s u l t s i n the s p e c i f i e d format. They were a l s o reques ted t o f i l l i n a ques t i onna i r e about t h e i r method of ana ly s i s . The ques t i onna i r e is inc luded in Appendix 2.

Summa7 of Methods of Data Analysis

The important f a c t o r s concerning t h e methods of da t a a n a l y s i s a r e sum- marized i n Table 2. I d e n t i f i c a t i o n symbols, A through X, a r e ass igned, in an a r b i t r a r y o rde r , t o t h e c o n t r i b u t o r s .

Most of t he con t r i bu to r s . ana lyzed , the analog da t a tape d i s t r i b u t e d by JAF.RI. A few of them used t h e t ape d i g i t i z e d by JAEPJ, and a few o the r s dupl ica ted for . themselves . Almost a l l t h e con t r i bu to r s analyzed a l l t he t h r e e s e t s of no ise .

Every group adopted t he d i g i t a l p rocess ing . The rider of b i t s f o r t he analog-to-digi ta l conversion s c a t t e r s between 10 and 14 b i t s .

As f o r t he methods used f o r a n a l y s i s , those who use t he f a s t Fou r i e r t ransform c o n s i s t s t he major i ty (18 groups) . Nmbers of con t r i bu t i ons by o the r methods a r e 2 by. Blac'aan-Tukey method, 4 by Auto-regressive model f i t t i n g , 2 by Auto-regreff ive moving average model f i t t i n g and 1 by maximum entropy method, r e s p e c t i v e l y .

Commercially a v a i l a b l e ana lyz ing equipments a r e used by 6 groups. The

JAERI-M 84-025

r e s t of t he cont r ibutors cont r ives t h e i r own systems.

Of course a l l t he groups use the an t i - a l i a s ing low-pass f i l t e r s . Nearly ha l f of the cont r ibutors included pre-processing of the source data, e i t h e r l i n e a r t rend removal o r high-pass f i l t e r i n g .

It was requested t o obta in the power s p e c t r a l d e n s i t i e s over a frequency range of 4 decades (5x103 % 50 Hz). Since i t is very d i f f i c u l t t o cover t he whole range by a s i n g l e ana lys i s , t he cont r ibutors e i t h e r analyzed only a por t ion of i t , o r divided i t i n t o s e v e r a l port ions and analyzed each por t ion separa te ly . The d iv i s ion of t h e range and the r e l a t e d information a r e shown in the l a t t e r p a r t of Table 2.

Comoarison of Results

The contr ibuted est imates of t he s tandard devia t ion of noise data a r e shown in Table 3. Two problems a r i s e d in connection t o the comparison of r e s u l t s i n graphica l form. A few cont r ibutors d id not sbserve the format spec i f i ca t ion . It w a s impossible t o redraw the graphs according t p t h e spec i f i ed format s i n c e the time f o r reviewing the r e s u l t s was r a t h e r l imi ted . Therefore such cont r ibut ions were compared with o thers only by inspect ion and a r e not . inc luded in t h e fpllowing f igures .

I n t he t a sk ,descript ion, , the . normalizat ion of t h e power s p e c t r a l d e n s i t i e s was not e x p l i c i t l y spec i f i ed . Therefore, t he comparison of PSD's was made with r e spec t t o t h e i r r e l a t i v e magnitude, disregarding t h e i r ab- s o l u t e values.

Results by t h e group "3" d i f f e r s d r a s t i c a l l y from a l l t he o thers . The group "B" used ARMA model f i t t i n g method. They. d id not repor t t he order of t he model they f i t t e d . Apparently they f i t t e d a mode& of a r a the r low order f o r t h e whole four decades of.frequency range. Anyway t h e i r r e s u l t s a r e not included i n t h e f igu res e i the r ,

As shown in Table 3, t h e est imated.values of s tandard pev ia t ion by d i f - f e r e n t con t r ibu to r s . a r e not q u i t e t he same, re f lec t ing .perhaps the dif- f e r e n t choices of the frequency range, t he .data length, the f i l t e r char- a c t e r i s t i c s and s o fo r th .

Only a few of t h e comparisons of graphs a r e included i n the presept repor t . The f i r s t one is t h e APSD of t he a r t i f i c i a l noise Channel 1. As shown i n Figure 2 t he r e s u l t s by d i f f e r e n t cont r ibutors agreed f a i r l y well .

As f o r the autocorre la t ion function of t he same da ta , most of t he r e s u l t s agreed we l l a s shown i n Figure 3. Results by the groups E , P and S a r e s l i g h t l y d i f f e r e n t . The negative co r re l a t ion around the t i ~ e l a g of 1 sec. is more pronounced in. the r e s u l t s by H, N and W. One poss ib le elrplanation f o r t h i s is the e f f e c t of t he high-pass f i l t e r s they used.

I n Figure 4 t h e APSD of t he Borssele noise Channel 2 is compared i n an expanded sca le . The agreement among most of the FFT r e s u l t s a r e r a the r

good a s show. i n Fi:u:e L-1. Sorce d i f f e r e s c e is o b s e x e d i n X and Q. ( F i g u r e 4-2) The r e s u l t s by o t h e r rre:hocs a r e corupared i n F lgures 4-3 through 4-8. I n the r e s d t s by S an a d d i t i o n a l peak appears arcund 5.5 Hz. (F igures 4-4 and 4-51. These r e s u l t s a r e o b t a i l e d from a s to r : d a t a of 40 sec. Probably t h e peak is a p e c u l i a r i t y of t h i s p a r t i c u l a r p o r t i o n o f t h e n o i s e d a r a .

3 e APSD of t h e Phenix n o i s e Channel : is compared i n t h e F i g u r e 5 . They a r e i n q u i r e c l o s e agreement. On t h e o t k r hand a u t o c o r r e l a t i o n f u n c t i o r s of che same n o i s e d i f f e r widely a s shown i n F igure 6 . This i s t h e l a r g e s c d i f f e r e u c ~ observed througnout t h e benchmark t e s t .

S e v e r a l c o n t r i b u r s r s n o t i c e d t h a t t h e Phenlx d a t a = e r e n o t s r a t i o n a r y . The s i g n a l ( r e a c t o r n o i s e ) t o n o i s e ( r e t o r s i n g n o i s e , e c r . ) r a t i o is noe vezy good e i t h e r . These f a c t s seem t3 c o n t r i b u t e t o t h e above- mentioned d i s c r e z a n c i e s among :he r e s u l t s .

D r . K r y t e r of O h N L c o m e n t e d on tlis p r o b l e n more s p e c i f i c a l l y from t h e FFT view p o b t . H i s c o m e n t is ve ry v a l , a b l e and, t h e r e f o r e , is inc luded h e r e .

D r . Krirer's c o m e n c

The answer, I b e l i e v e , l i e s i n t h e f a c t s that : t h e s ign-1s i n q u e s t i o n (Phenh ) x e r e (1) dominated by very iow-frequency n o i s e components, and (2) showei ev idence o f n o n s t a t i o n a r i t y w i t h i n t h e 105-zinure ana l38 d a t a r e c o r d s u p p l i e d t o benchnark p a r t i c i p a n t s . Address ing i h e s e p o i n t s , 5n t u r n , i n g r e a t e r d e t a i l :

1. The shape of t h e c o r r e l a t i o n f u n c t i o n s a t l a r g e l a g ( 7 ) v a l u e s ( say , 20-130s) is Secermined l a r g e l y by t h e ve ry iow-Sreqcency c o n t z n t ( in - c l u d i n g DC, i f any) of t h e s l g n a l s . This i x ? l i e s , among o:her t h i n g s , t h a t p r e p r o c e s s i n g o p e r a t i o n s performed on t h e d a r a ( e . 2 . . r e x o v a l of mean and /o r t r e n d ) may change t h e c o r r e l a t i o n f u x c i o n shape i r a s t i c a l l y , depending on t h e p r e p r o c e s s i n g procedure used. Likewise , t h e n e c e s s i t y of p a r t i t i o n i n g t h e d a t a i n t o "blocks" of manageable s i z e f o r t h e a p p l i c a t i o n of t h e EFT a l g o r i t h m i m p l i e s t h e b t s o d u c t i o n of a Low-frequency c u t o f f (h ighpass f i l t e r ) t h a t is on :he o r d e r of t h e r e c i p r o c a l of t h e t ime r e p r e s e n t e d by one d a t a b l o c k , i. e. , f r e q a e n c i e s lower t h a n t h i s a r e " l o s t " t o t h e s u b s e ~ a e n t o ? e r a t i o n s . These procedure-sensi:ive l o s s a s a r e nor e v i d e n t i n t h e PSDs, on t h e c o n t r a r y , because t h e e c t i r e long- lag r e g i o n of t h e c o r r e l a t i o n f u n c t i o n is e s s e n t i a l l y ma?ped i n t o t h e one o r two lowes t frequency p o i n t s of t h e power s-,ectrum, and t h e d i f f e r e n c e becomes. unnot iceable .

I t is a l s o x o r t h E e n t i o n i n g c t a t t h e sampl ing r a t e (and a s s o c i a t e d ana log a n t i z l i a s i a g ' Low-pass f i l t e r i l g a p p l i e d t o :he s i g n a l b e f o r e d i g l t i z a t i o n j chosen i n computing c o r z e l a t i o n f u n c t i o n s v i a t i e FFT r o u t e l i k e w i s e i n t r c d u c e s a h igh-frequency c ~ r o f f t o t h e r e s u l t i n g C ( T ) , which e x ? l a i n s why t h e va r ious p a r t i c i p a n t s p p d u c e d d i f f e r e n t answers i n t h e v i c i n i t y of t h e o r i g i n (T=O:. s i n c e t h e c o r r e l a t i o n f u n c r i o n i n t h l s r e g i o l is de te rn ined l a r g e l y by t h e s i g n a l ' s high-frequency c o n t e n t .

To summarize, t h e c h o i c e s of sampling r a t e ar.d p a r t i r i o n i l g b l o c k s i z e

JAERI-M 8 4 - 0 2 5

which a r e necess i ta ted by the FFT approach t o computation of co r re l a t ion functions (auto- and cross-) introduce hi:h- and low-frequency r e s t r i c t i o n s t o t he data bandwidth t h a t may go unrecognized and, moreover, a r e not contained i n the fundamental d e f i n i t i o n of the co r re l a t ion function a s a mean lagged product of s i g n a l s having un res t r i c t ed bandwidth. Therefore, care should.be exerc ised t o insure t h a t i s p o r t a n t frequency regions of t h e s i g n a l a r e not inadver tent ly l o s t i n the da ta t r ea tnen t when using trend removal and/or FFT.

2. Experimentally-determined uncer ta in ty est imates f o r the co r re l a t ion functions (obtained by recording the datablock-by-datablock va r i a t ion of t he r e s u l t s ) indica ted tha t t he r e s u l t s were very- untrustworthy. owing t o non-s ta t ionar i ty (e.g., t h e e r r o r ba r f o r C(20 s ) 0 .7 extended from 0.4 t o almost 1.0). Since a l l benchmark ~ r o b l e m pa r t i c ipan t s d id not choose t o analyze the e n t i r e da ta record provided on magnetic tape, i t is not su rp r i s ing t h a t t h e i r r e s u l t s show poor agreement--the answer obtained depends upon the p a r t i c u l a r s t r e t c h of tape analyzed.

On the whole, t he benchmark t e s t w a s successfu l . In many cases the agreement of t he r e s u l t s by d i f f e r e n t cont r ibutors a r e sat isfactory- . The d i f f i c u l t y with the low signal-to-noise r a t i o and the nons ta t ionar i ty is demonstrated.

More d e t a i l s about t he da t a processing should have been inquired i n t he quest ionnaire. Some of our quest ions were not d e t a i l e d enough and i t is feared t h a t t h i s caused misunderstanding among the contr ibutors .

An informal meeting of t he cont r ibutors w a s he ld during SNOW-111. It is agreed t o proceed t o some kind of physical benchmark t e s t in near fu tu re .

Acknowledgements

D r . Yamada, h i s s tudents and M r . Hayashi of JAERI prepared the t ab l e s and f igures f o r t h i s summary. The author acknowledges t h e i r tremendous he lp . Thanks a r e a l s o due t o D r . Kryter f o r h i s valuable comments.

JAERI-M 8 4 - 0 2 5

Appendix 1 List of the contributors

Councry Name Organization

France Bernard, P. Cloue, J. Messainguiral, C.

France Leguillou, G. Gourdon, J.

F.R. of Germany

Bauernfeind, V. R;;sler, H. ~zdtler, E. Wach, D.

F.R. of Germany

Massier, H.

Hungary Valko, J.

Italy Federico, A. Galli, C.

Italy Giovannini, .R. Marseguerra, M. Martinelli, T. Motta, M. Taglienti, S.

Japan

Japan

JAEXI-Tokai

Kvoto U.

Hayashi, K.

Morishima, N. Takeuchi, Y.

Japan Kimura, Y. Nishihara, 8.

RRI of Kyoto U

Japan Yamada, S. Kishida, K.* Nishimura, T. Bekki, K.

Osaka U. Gifu U.*

Japan

Japan

Tokai U.

U. of Tsukuba

Kuroda, Y.

Saito, K. Konno, H. Fujita, H.

Japan

Japan

Fujita, Y. Ozaki, H. . MAP1

NAIG Tamaoki, T.

Netherlands

Netherlands

Netherlands

Sweden

Sweden

U.K.

U.S.A.

U.S.A.

JAERI-M 84-025

Kleiss, E.B.J.

Van der Veer

Akerhielm, F.

Bergdahl, B-G.

Halliwell Rowley

Kryter, R.C.

Ouyang, M.S. Wu, S.M.

IRI-Delf t

ECX-Perren

w m

S tudsvik

S tudsvik

UKaEA-Risley

ORNL

U. of Wisconsin- Madison

JAERI-M 8 4 - 0 2 5

Appendix 2 Questionnaire

Name :

Organization:

Business Address:

1. From where did you obtain the t e s t data?

( a ) [ ] JAERI : ident i f ica t ion number of the tape (b ) [ ] NEA Data Bank ( c ) [ 1 Others: specify the source

2 . I f the t e s t data analyzed i s i n analog form, please wri te the model and i ts main speci f ica t ions of the data recorder used f o r playing back the tape.

3. If the source noise data analyzed i s i n analog form, please answer how you processed the data.

( a ) [ '1 processed i n analog form throughout the analys is . (b ) [ 1 processed i n d i g i t a l form except f o r analog-digital

conversion of the source noise data a t the ou t se t of the analysis .

( c ) [ ] combination of analog and d i g i t a l processings.

I f your answer i s ( b ) or ( c ) , . p l ease wri te the number of bits f o r quantizat ion of the analog noise data.

4. The sys ten used f o r analyzing the data i s

( a ) [ ] commercially avai lable , model of the analyzer (b ) [ ] spec ia l ly organized by yourse l f .

5. Please draw the block diagram of your data analyzing system.

6. Does your ana lys i s include pre-processing of the source noise data?

I f your answer i s "Yes", please specify the type of pre-processing.

7 . What type o f method did you use f o r analyzing the data?

( a ) [ ] Blackman-Tukey method ( b ) [ 1 Fast or Direct Fourier Transform method

I c ) [ ] Auto-regressive (moving average) model f i t t i n g d ) [ I Maximum entropy method

( e ) [ 1 Others

Please s t a t e the spec i f i c fea ture of your algorithm, the order of the AR model, the c r i t e r ion f o r determination of the order of the model, e t c .

8. Please w r i t e your analyzing conditions in the form of the t ab le at tached with t h i s quest ionnaire. I f the space i s not enough, pi ease use separate sheers f o r addit ional information.

Directions fo r f i l l i n g the table .

( a ) Since the frequency resolution depends upon the analyzing method, please specify the de f in i t ion of the frequency resolut ion which you used.

(b ) I f the data analyzed i s in analog form, the data length used for an analysis should be expressed by the time spent f o r re t r ieving the analog data required f o r an analys is a t t he playing back speed of 1-718 ips .

( c ) Please wri te in columns ( 7 ) and (8) only iden t i f i ca t ion numbers of your descript ion of the f i l t e r (F) and window (W) such as F1, F2, F3, o r W1, W2, W3, e t c . , and i t i s requested t o use separate sheets f o r describing f u l l information concerning f i l t e r s and windows such as t r ans fe r functions of f i l t e r s , corre la t ion functions of windows o r graphical presentat ions of t h e i r cha rac te r i s t i c s .

9. Standard deviation of the noise obtained.

10. Error evaluation (opt ional )

Please connnent on the e r r o r evaluation of your r e s u l t s , and super- impose t h e error-bar on ?our graphical data i f possible.

11. Please wr i t e other findings i f any.

12. Please w r i t e your comments and suggestions concerning the benchmark t e s t .

JAERI-M 8 4 - 0 2 5

1. A r t i f i c i a l noise

Channel No. 1: neutron d e n s i N 2: v e s s e l o re s su re wit.. a c 2 i t i v e noise 3: i n l e t wa te r v e l o c i t y 4: l o c a t i o n o f b o i l i n 9 bounlary 5 : h e a t f l u x p e r u n i t 1enqt.h 6: i n l e t wa te r e n c l a l p y 7: r e c i r c u l a t i o n flow 8: void vol-m i n co re 9: no i se sou rce f 2

10: n o i s e SOL-c= f10

2. Borssele r e a c t o r noise d a t a

Clannel No. 1: in-core d e t e c r o r s i c n a l - ( I N 12 ) 2: ex-core d e t e c r o r s i c x a l (LM; )

3: in-core ( I N 15 ) 4: ex-core (LLU )

5: in-core (IN 14 1 6: ex-core (D 62 1 7: in-core ( I N 1 3 ) 8: ex-core (D 72 1 9: in-core ( I N 16 1

10: ex-core (D 82 1 11: in-core ( I N 1 1 12: ex-core (D 52i 1 13: p r e s s u r e (YAOI ~ 0 0 1 1 14: p r e s s u r e (YAOZ PO01)

3. Phenix r e a c t o r no i se d a t a

3: ex-core i o n cfiwnber (ZlMR41 1 4: subassembly o u t l e t t e ~ e r a t t ; - e (TATA 2119) 5: ex-core ion chamber (ZlMR51 )

6: pump i n l e t t e m w r a t u r e (P3MT25 1 7: primary pump f lowra te (PIMQOZ 1 8: secondary pump f l o v r a t e (SIMQOl 9: I H X primary i n l c t temperature ( ~ 1 ~ ~ 0 1 )

10: I H X secondary i n l e t ternpcrature (SlWTO1 )

S S A-1 14 1 a11 A R E S 0-2 14 3 all --

- ---- 12 yes n s CA-2 I a11

l S A-12 I ?F ARIU E S 0-2 14 -- -- - . - - 1 .I1 - No

UM S S A-1 14 1 all No

(1) L.T.R. 2 Llnear Trend Renovlng (3) Symbole A ; A m l o g rape from JAERI I1.P.C. ; tll&h-Pas~ Yllrering U ; U1g1tn1 tape from JAERI

(2) s 1 s p r e ~ ~ l l y Organlred S y a t m COT ; Copled iron orlglrrl taps conuo~rclally available rpeccrw analyzer CA-2; Copled from A-2

cl ; 0s 400 FI'T Analyzer Nleoler S e l . Inst. Hmbrr I Idrnlltlentlon nunldar of t o a t cape C2 ; ID160 c1 ; ilrull;rt-~ueX.rd 1120A ,.., , ,,...I. , , ,..., I . . . I ':':('.

rtificial Frequency Range (Hz) 3mer req.

& 3.75

3.125

6.25

12.5

25.0

50.0

00.0

8.0 16.0

32.0

5.0 50.0

- 0. Of verage

- ata e n g t h 'or an

6208.0

1024.0 256.0

64.0

16.0

4.0

1.0

400.0 400.0

400.0

45.0

7.1

1311.0

655.4

327.7

163.8 81.9

40.9

512.0 256.0

128.0

10.2 2.09

A r t i f i c i a l Frequency Range (Hz)

I new r e s u l t s

- Sarnplir R a t e

( l / s e c - 25.0 - - - -

2.0 8 .0

25.0 100.0

8.0 25.0

6.25 .oo.o

3.125 3.125

6.25

56.25

8.0 16.0 80.0 60.0

1.25 10.0 00.0

Data Leng th for an

Analysi - 4282.0

(20.48

1024.0 256.0

81-92 10.24

128.0 20.48

327.68 81.92

655.4 327.7

327.7

13.11

256.0

128.0 25.6

12.8

819.2 102.4

10.24

Total Length

i n a l y z e (sec) -

4282.0 1096.0)

5888.0 5888.0 5888.0 5888.0

3584.0

819.2

5570.56 5324.8C

5226.0 5226.0

5226.0

1501.0

1096.0

10g6.0 $276.0 1276.0

i734.4 i144.0

,024.0

NO. 2

Freq.

l e s o l .

(Hz)

0.0488

9.778-4 3.91E-3 1.228-2 6.25E-2

0.0488 0.0078

0.0122 0.0031 1

0.0015 0.0030 0.0030

3.0760

3.9E-3 7.8E-3

3.9E-2 7.8E-2

1.22E-3 3.77E-3

3.77E-2

i"". >

Freq.

xeso1.

(Hz1

4.07E-3 3.91E-2

7.81E-1

0.005 0.005

0.05

3.91E-3 0.25

5.09E-3 9.54E-2

0.008 0.034

0.052

0.65

0.0025 0.002

0.02 0.02

0.04 0.50

- ;amplin( zate

8.33 20.0

100.0

10.24 10.24

10.24

16.0 128.0

2.6 195.3

33.3 20.0

100.0

1250.0

100.0 100.0

100.0 100.0

100.0 100.0

-

- orner req.

(az)

4.0 10.0

50.0

7.8 7.8

0.75 52.0

12.0 10.0

40.0 ioo. 0

-

- ata

e n g t h or an nalysis

246.0 25.6

1.28

200.0 200.0

20.0

1024.0 128.0

196.6 10 .5

245.8 51.2

20.5

1.638

1650.0 1650.0

1650.0 1650.0

1650.0 1650.0

Frequency Range (Hz1

I.D.

- I .D.

s r t i f i c i a l

1

-

: NO Data SI

Frequency Range (Hz)

i t t e d

- samplinc Rate

25.0 25.0

3.12f

100.0 100.0

100.0

100.0

100.0

100.0

0.625 6.25

62.5

25.0

25.0

-

- lo. Of rveragt

- ro ta1 Length snalyze lsfifl

160.0 160.0

3932.0

130.0 100.0

100.0

100.0

100.0

100.0

3276.8 983.0,

98-30.

160.0

80.0

-

ceq. e s o l .

(nz) - 0.125

.77E-4

.91E-3

.56E-2

.25E-2

0.25

1.0

2 .0

2.5E-3 2.5E-2

2.5E-1

0.070

0.027

.22E-2

.45E-2

.SEE-2

.77E-2

,933-1 .90E-1

.95E-1

.91E-1

0.3005

-

I . D .

- 'orner 'req. Hz)

- 0. of verage

- D a t a Leng th for an

6259.0

1024.0

256.0

64 .0

1 6 . 0

4.0

1 . 0

0 .5

400.0 400.0

400.0

7.17

18 .4

1311.0

655.4

327.7 163 .8

81.92

40.96

81 .92

40.96

3.33 -

Frequency Range ( H z )

1 0 - l , , , , , , , 1

t

Freq. esol. (Hz)

.07E-3

.91E-2

.81E-1

,005 .050 ,.050

.91E-3

'.50E-1

1.09E-3 .54E-2

i.50E-2

1.002

1.02 1.05

-

0.25

0.25

0.005 0.05

0.50 0.50 -

- amplins ate (Used

8.33

20.0 100.0

10.24 102.4 204.8

16.0

128.0

2.6 195.3

39.7

100.0

100 .o 100.0

50.0

100.0

100.0

100 .o 100 .o 100.0 100.0 -

- 0. Of

verage

- 21 45 4 5

256 256 512

24

192

13 249

100

1

1 1

1

1

1

1 1

1 1 -

Frequency Range (Hz) I . D .

10

(0.01 Hz)

C- I t o w cuti2.0 Band Pass;4E

-

- Data Length for an inalysia

3276 .8 327 .68

32 .768

20 .48

5 . 1 2

8 0 . 0 4 0 . 0

4 0 . 0

20 .0

8 LL-- req. es01u . (Hz)

I . D . Frequency Range (Hz)

: NO Data S

: NO Data S

m i t t e d

n i t t e d

I . D .

Phenix

11

Frequency Range (Bzl

new results

Sampli Rate (l/sec -

4.C 64.C

2.048

40.96

409.6

2.8 142.9

12.5

25.0

50.0 100.0 200.0

400.0 64.0

400.0

32.0

25.0 - - -

2.0

4.0

25.0

200.0

-

Jdtd

Length for an nalys i - 5348.0 5348.0

400.0

400.0

400.0

180.2 7.17

1311.0

655.4

327.7 163.8

81.92

40.96 256.0 20.48

256.0

1282.0 (20.48

LO24 .O

512.0

81.92

10.24

--

<,ill I. engi-h nalyzed secl

.

Freq. Resol. (Hz1

0.00781 0.1250

2.5E-3

2.5E-2

2.551

0.0028 0.070

0.0122

0.0244

0.0488 0.0977 0.1953

0.3906 0.0625 0.7813

0.0625

0.0488

9.77E-4

1.95E-3

1.22E-2

6.25E-2

I . D .

Phenix Frequenoy Range (Hz)

Sampling Rate (l/sec)

25.0 64 .O

100.0 100.0

3.125 156.25

0.25

1.0 4.0 16.0

64.0 ?56.0

16.0

160.0

8.0

80.0

1.25

10.0

.oo .o

7

0. of veraq

- 40 28

65 30

73 455

4

21 88 358

1439 5762

32 256

16

128

7

60

100

- ata ength or an narysir - 20.48 16.0

81.92 163.84

327.7 13.11

1024.C

256.C 64.C 16.C

4.C l.C

128.0 12.8

256.0

25.6

819.2

102.4

10.24

o t a l ength nalyzed (secl

819.2 448.0

5342.8 4915.2

6226.0 1501 .O

2048.0

2688.0 2816.0 2864 .O

2878.0 2881.0

4096.0 3276 .O

4096.0

3276.0

5734.4

5144 .O

1024 .O

W". L"

req. . e so l . ( H Z )

- -

I . D . Phenix

Frequency Range Wz)

- 3ner ceq. (Hz) -

4.0

10.0

50.0

7.8

61.0

1.0

500.0

40.0 15.0

12.0

8.C

8.C

-

- ata ength or an nalvsi

2.46

25.6

1.28

200.0

20.0 200.0

024.0

28.0

104.9

1.638

20.5 51.2

254.8

825.0

825.0 825.0

160.0

160.0

-

T o t a l Length nalyzed (sec)

160.0

50.0 50.0 50.0

50.0 50.0

3276.8 327.68

32.768

160.0

80.0

lo. 12

r e q . e s o l . (HZ)

0.025

0.025 0.025 0.01 0.10 1.00

3.0015 3.015

3.150

3.025

).025

- o r n e r req . (Hz1

Phenix

1 C

Freqyency Range (Hz)

0

E

M

S

(ARI

S

(ME)

0 ARMA)

L (FFT)

bmi t ted

s m i t t e d

: NO Data

: No Data

're- A r t i f i c i a l Noise l r o c e s s i n g

I . D . - symbol

(Yes or No) Cl!. 1 Ch. 2

A 0 . 2 2 7 ~ ( u p t o 411.) 0.272" ( u p t o 411%)

0 . 2 8 4 ~

Yes 0.283

0.243 0.098 -

B o r a s e l e Noise Pllenix Noise

CI,. 1 Ch. 2 CII. 1 Ch.5

0 . 3 8 5 ~ ( U P ~ O 32112) 0.405 v ( u p t n 3211~) 0 . 0 5 7 ~ ( u p t o 2112) 0.194" (upca 2112) 0 . 0 7 9 ~ ( ~ p t o 3211.) 0 . 3 3 4 ~ ( u p t o 3211.) --

0.39" 0 . 4 0 7 ~ 0 . 0 7 6 4 ~ 0 . 8 2 4 ~

0.394" 0.394" - 0.050" 0.044"

0.421" (0.14-5011~) 0 . 4 2 % (0.14-5011~) 0.022" (0.14-5011~) 0.209" (0.14-50112) 0.420" (0.06-2011~) 0.425" (0.06-2011~) 0 . 0 5 6 ~ (0.006-l l l r ) 0.236" (0.006-1112)

Top LT o f t n p e o 0 1 8 26 51 7 6 1011 133 139 1119 f e e t

41

LTlLow T a p e p o s i t i o n

OV

2212 2228 2233 3225 3230 32119 3252 3271 1,- E n j o f t a p e

Fig. 1 O r d e r of s i g n a l r e c o r d i n g i n t h e da ta t a p e

/ u\ V

A 11

S i n e wave ( l0 l l z ) 1 V rms

OV

OV +l.OV OV PllENIX N o i s e OV S i n e wnve( l0 l lz ) OV S i n e wnve(10011z) 2 vp-p 2 vp-p

+ l . O V

OV

S i n c wnvc(10011z) 1 V rlna

+D.5V

A 1 v D E

OV OV

+2.OV

+0.5V +l.OV A r t i F i c i n l t l o i n c

Whi t e N o i s e

21

S i n e wnve(2011z) 2 VP-P

D0RSSEI.E N o i s e

APSD 05 Neutron Density ( ~ h . 1)

, .,.. . . . . , . , . , . . , . , . . . , . . . . . . , . , . , , , , . . . . . . . , . .

I ' ~ "

+ APSD : Artlflclal CK.1 i I

t T T

, , . , ,

APSD : Artlflclal CH.l

5.0 10.0

TIME LAG ( S E C )

Fig. 3 Auto Correlation Function C Artificial Noise 11'

5 10

Freauency (Hz)

FIG. 4-1

, I 1 4 5

analyzed by

FFT method

. . BOPS- REACTOR N O I S M U

apm &-<ore ~esector Si@ (Ch. 2)

8-T& FFT

0.' FREQUENCY

FIG, 4 4

2 lo-? lo-] 1 o0 1 o1 0 FREQUENCY ( H Z )

0 4 Fig. 5-1 APSD Pll Phen ix R e a c t o r Noise - P a r t 1 - 0

10-I 1 o0 1 o1 FREQUENCY ( H Z )

Fig. 5-2 APSD Pll Phen ix R e a c t o r Noise - P a r t 2 -

-2

0 a - a. Q

8 6 a m 20.00 40.00 60.00 80.00 L C

c.2 T l n E LRC ( 5 E C l

9-00 20.00 (0.00 60.00 80.00 LC

TIHE L R G I S E C I

U R ) , HPF

I0

-.! AUTQ ( n R Cil(T) : PHE l i IX REACTOR NOISE - PART 1 -

F I G . 6-1

AUTO COR Cll(T) : PHENIX REACTOR NOISE - PART 2 -

F l G . 6 - 2

JAERI-M 84-025

APPENDIX D

Superimposed Graphs o f the Computed Functions

In Table I through 111 a r e indica ted the funct ions computed by the

con t r ibu to r s . The names o f con t r ibu to r s a r e withheld and each group o f

cont r ibutors a re labeled with a a lphabet ic c a p i t a l .

The graphs of computed funct ions submitted by d i f f e r e n t contr ibu-

t o r s a re superimposed and presented i n the following pages. The graphs

of power s p e c t r a l dens i ty funct ions a r e superimposed only from t h e view

poin t of graphical pa t t e rn , not tak ing i n t o account the d i f f e rences i n

magnitude (amplitude). Therefore, t he u n i t s i n the o rd ina tes f o r the

power s p e c t r a l dens i ty funct ions should be considered a s a r b i t r a r y .

There e x i s t some e r r o r s i n the s i z e o f superimposed graphs which were

caused by t h e inaccuracy of t h e copying machines used. Those graphs

which do no t conform t o the spec i f i ed format a r e sepa ra te ly presented i n

reduced s i z e . The comments and t h e graphs r e c e n t l y submitted by the

con t r ibu to r Q is a l s o included a t t he end.

The no ta t ions used i n t h i s Appendix a r e a s follows.

Cii : Normalized auto-corre la t ion funct ion f o r the s i g n a l s recorded

on the i - t h t rack o f t h e da ta tape.

C i j : Normalized c ross -co r re l a t ion funct ion f o r t h e s i g n a l s r e -

corded on t h e i - t h and j - th t racks .

P i i : Auto-power spec t ra l dens i ty funct ion f o r t h e s igna l recorded

on the i - t h e t rack .

P i j : Amplitude of cross-power s p e c t r a l dens i ty funct ion f o r t h e

s i g n a l s recorded on t h e i - t h and j - t h t r acks .

Coh : Coherence funct ion f o r the s i g n a l s recorded on the i - t h and

j - t h t racks .

Ph : Phase of the corss-power s p e c t r a l dens i ty funct ion.

Table I. Functions Computed f o r A r t i f i c i a l Noise

Symbols: * - Graphs conforming t o the spec i f i ed format

I - Graphs not conforming to the s p e c i f i e d format

JAERI-M 8 4 - 0 2 5

Table 11. Functions Computed f o r Borssele Reactor Noise

I I Funct ions

1 Label of I 0-lOsec 0.005-50Hz 2.0-20Hz 0.005-50Hz

Symbols: * - Graphs conforming t o the spec i f i ed format

# - Graphs not conforming t o the spec i f i ed format

Table 111. F u n c t i o n s Computed f o r Phen ix Reac to r Noise

c o n t r i b u t o r I= Label of

Symbols: * - Graphs conforming t o t h e s p e c i f i e d format

# - Graphs n o t conforming t o t h e s p e c i f i e d fo rmat

Func t ions

0-lOsec 0-100sec 0.005-50Hz 0.1-1.OHz 0.005-50Hz

- 0.00 2.00 4.00 6.00 8.00 10

T I M E LRG I S E C l

Fig. 1 C11 for Artificial noise data computed by B,C,D,E,F,G,H,J,K,L,P,R,S,T,U,W

0 , 2.00 , ,I, T InE I .DO L R G 6.00 I S E C I o r 8 .00 , L C

Fig. 2 C22 for Artificial noise data computed by B,C,D,E,F,G,H,J,K,L,P,S,T,W

1 . 0

i o . 5 D U

Z D - + u _I W LI 5 OC G

1 z o . 0 22 a 'A z " LO I D

m 5

4

U 0 N in

- 0 . 5 - 1 0 . 0 - 5 . 0 0 . 0 5 . 0 1 0 . 0 0 . 0 5 0 . 0 1 0 0 . 0

CORRELRTION T I M E ISECI C O R R E L R T I O N TIME [SECI

Fig. 3 C 1 2 for Artificial noise data computed by B,C,D,E,F,G,H,J,K,L,P,R,S,T,U

Fig. 4 C11 for Artificial noise data computed by C , F , J , M , P , U

- '0.00 20.00 40.00 60.00 80.00 11

TIRE LRC ISECl

Fig. 5 C22 for Artificial noise data computed by B,C,D,E,F,G,J,M,P,T,U

z 0 - C a _I W OC K

go. 0 I

ln rn D rz U

- 1 0 0 . 0 - 5 0 . 0 0 . 0 5 0 . 0 100 .0 CORRELATION T I M E ISECI

Fig. 6 CI2 for Artificial noise data computed by C,D,F,J,M,P,T,J

Fig. 7 P l l for Artificial noise data computed by A , B , C , D , E , F , G , H , J , K , L , M , N , O ,P ,Q ,R ,S ,T ,L ,W

Fig. 8 P22 for Artificial noise data computed by S,B,C,D,E,F,G,H,J,K,L,X,N, O,P ,Q ,R ,S ,T ,U ,W

Pig. 9 P12 for Artificial noise data computed by B,C,D,E,F,G,B,J,K,L,n,N, P,Q,R,S,T,U

Fig. 10 Pi1 for Artificial noise data computed by A,B,C,D,E,F,G,H,J,K,N,O, Q,R,s,T,U,W

C . 2

Fig. 11 P22 for Artificial noise data computed by A,B,C,D,E,F,G,H,J,K,N,O, Q,R,S,T,U,W

. .

Fig. 12 P12 for Artificial noise data computed by B , C , D , E , F , H , J , K , K , Q , R , T , U , W

JAERI-M 8 4 - 0 2 5

Fig.13 Coh for Artificial noise data computed by B,C,D,E,F,G,H,J,K,L,M,N,P,Q,R,S,T,U,W

Fig.14 Ph for Artificial noise data

computed by B,C,D,E,F,G,H,J,K,L,M,N,P,Q,R,S,T,U

brssele noise I

L a g tim (sec)

Borssele noise

\ LOG

L a g tirre (sec)

;h' 0 Fig.15 Cll for Borssele noise data Fig.16 C 2 2 for Borssele noise data 2 computed by B,C,D,E,F,G,H,J,K,L,M,P,R,S,T,U,W computed by B,C,D,E,F,G,H,J,K,L,M,P,R,S,T,U,W

JAERI-M 8 4 - 0 2 5

1 . 0

0 . 5

Z 0 .... C 0: _I W OI

go. 0 0 I

v, v, 0 LC U

- 0 . 5 - 1 0 . 0 - 5 . 0 0 . 0 5 . 0 1 0 . 0

CCIRRELRTICIN T I M E ( S E C I

Fig. 17 C12 for Borssele noise data computed by B,C,D,E,F,G,H,J,K,L,M,P,R,S,T,U

Fig. 18 Pll for Borssele noise data computed by A,B,C,D,E,F,G,H,J,K,L,M,N, O,P,Q,R,S,T,U,W

Fig. 19 P77 for Borssele noise data computed by A,B,C,D,E,F,G,H,J,K,L,M,N, O,P,Q,R,S,T,U,W

Fig. 20 Pi2 for Borssele noise data Fig . 2 1 P21 fo r Borssele noise data computed by A,B,C,D,E,F,G,H,J,K,N,O, Q,R,S,T,U,W

Freqwncy(Hz:

Fig. 22 PZ2 for Borssele noise data computed by B , C , D , E , F , G , H , J , K , N , O ,

Q,R,S,T,U,W . .

Fig. 23 P12 for Borssele noise data computed by B , C , D , E , F , H , J , K , N , Q , P , , T , U , W

JAERI-M 8 4 - 0 2 5

Fig.24 Coh for Borssele noise data computed by B,C,D,E,F,G,H,I,J,K,L,M,N,P,Q,R,S,T,U

I I 5 Frequency (HI) 50

Fig.25 Ph for Borssele noise data computed by B,C ,D ,E ,F ,G , I I , I , J ,K ,L ,M,N,P ,Q ,R ,S ,T ,U

- G.00 2.00 4.33 6 . 0 0 8.00 I I

T I M E LRG I S E C I

Q Fig. 26 C11 for Phenix reactor noise data 2 computed by B,C,D,E,F,H,J,K,P,S,T,W, --\

,-

n ? -

0.00 2.00 4.00 6 . 0 0 8.00 11

T l t i E L R G I S E C I

Fig. 27 C55 for Phenix reactor noise data computed by B,C,D,E,F,H,J,K,P,S,T,W

-10.0 -5.0 0.0 5.0 LAG TIME (SEC)

Fig. 28 C15 for Phenix reactor noise data computed by B,C,D,E,F,H,J,K,R,S,T

Fig. 29 Cll for Phenix reactor noise data computed by B,C,D,E,F,G,I,J,K,M,

P,R,T,U

- I 0.00 20.00 40.00 60.00 80.00 100.00

T l n E L R G 1SECI

Fig . 30 C55 f o r Phen ix r e a c t o r n o i s e d a t a computed by B,C,D,F,G,I,J,K,M,T,U

4 . . . . . . . . , ! , . . , , , , , , -100 -50 0 50 100

TIME LAG ( s ~ c )

F i g . 31 C15 f o r Phen ix r e a c t o r n o i s e d a t a computed by B,C,D,F,G,I,J,K,M,T,U

Pig . 32 P l l f o r Phenix r e a c t o r no i se da ta computed by A,B,C,D,E,F,G,H,I,J,K, M,N,O,F,Q,R,S,T,U

Fig. 33 P55 f o r Phenix r e a c t o r no i se d a t a computed by A,B,C,D,E,F,G,H,I,J,K, ?I ,N,O,Q,R,S ,T ,U

Fig. 34 PIS f o r Phenix r eac to r no i se da ta computed by B,C,D,E,F,G,H,I,J,K,M, N,Q,R,S,T,U

Fig. 35 P l i f o r Phenix reactor n o i s e da ta

0 Fig. 36 PS5 for Phenix reactor noise data "d 0

computed by A,B,C,D,E,F,G,H,J,K,N,O,

2 Q,R,S,T,U,W

3

CT

Fig. 37 PI5 for Phenix reactor noise data computed by B,C,D,E,F,H,J,K,N,Q,R,T,U,W

JAEW-M 8 4 - 0 2 5

Fig.38 Coh for Phenix reactor noise data computed by R,C,I),E,F,G,H,I,J,K,M,g,Q,R,S,T,II

Fig.39 Ph for Phenix reactor noise data computed by B,C,D,E,F,G,II,I,J,K,M,N,Q,R,S,T,U

-112-

910:',01'it

Fig.40 Func t ions computed by A

A r t i f i c i a l n o i s e *

JAERI-M 8 4 - 0 2 5

S M O R N 3 3 A I " A R T N O I S F

Artificial noise

Borssele reactor noise I ". i

"d, ,.-

Fig.40 Functions computed by A (continued)

JAERI-M 8 4 - 0 2 5

n - = .. Y 0 -. 9 *. - .-. I-... . * . . . " " . . . * . n " . . WhG . . - *

rllm"YC" ,MI


Borssele r e a c t o r no i se

JAERI-M 8 4 - 0 2 5

S U P H E X 3 0 1 "PHENIX" ,.. S M O R N 3 3 P I PHENIX

.,*: !

SMORN33PI PHENIX , .

Fig .40 F u n c t i o n s computed by A (con t inued)

Phen ix r e a c t o r n o i s e

JAERI-M 84-025


Phenix reactor noise

JAERI-M 8 4 - 0 2 5



JAERI-M 8 4 - 0 2 5

Fig.41 Functions computed by I


JAERI-M 8 4 - 0 2 5

Artificial noise

,...-.-.I.. I ,....-- r I..,

Borssele reactor noise

Fig.42 Functions computed by L

JAERI-M 8 4 - 0 2 5

Artificial noise



I.. - _., * * /. ..

Fig.43 Functions computed by N

JAERI-M 8 4 - 0 2 5

Artificial noise

Fig.44 Functions computed by W

P n r w 9- 1 1 1 ra ooo

Fig.44 Functions computed by W (continued)


Fig.45 Functions computed by R

Artificial noise

Fig.46 Functions computed by X

Artificial noise

JAERI-M 8 4 - 0 2 5

= Coh ----- -

~,J~Lj~l ,L ]is L-j Coh -

- -. IJ . . - . - . * . - .. . . . . . .

Fig.46 Functions computed by X (continued) Artificial noise,

JAERI-M 8 4 - 0 2 5

Fig.46 Functions computed by X (continued)


JAERI-M 8 4 - 0 2 5



-127-

JAERI-M 8 4 - 0 2 5


Phenix reactor noisg

Fig.46 Functions computed by X (continued) Phenix reactor noise

-129-

JAERI-M 8 4 - 0 2 5

Renewed a n a l y s i s of SMORN-111 benchmark d a t a

by t h e c o n t r i b u t o r R

A s o u r APSD of c h a n n e l 2 from B o r s s e l e r e a c t o r n o i s e o b t a i n e d from FFT-analys is d a t a d i f f e r e d f rom APSZs o b t a i n e d by a m a j o r i t y of t h e i n v e s t i - g a t o r s , w e have per formed new a n a l y s e s where we i n t r o d u c e d changes i n p rocedure and equipment .

We found t h a t t h e f o l l o w i n g changes d i d n o t a l t e r t h e APSDs s i g n i f i c a n t l y :

- Use of a n o t h e r computer w i t h a n o t h e r s ampl ing equipment .

- U s e o f a n o t h e r sampl ing c h a n n e l i n t h e o r i g i n a l equipment .

- Doubl ing t h e s ampl ing f r equency .

- U s e of a n o t h e r computer program.

- U s e o f a n o t h e r a n a l o g d a t a t a p e .

We a l s o made a t e s t of o u r t a p e r e c o r d e r by a n a l y s i n g s q u a r e wave s i g n a l s d i r e c t l y and v i a r e c o r d i n g and p l ayback . W e d i d n o t f i n d any s i g n i f i c a n t d i f f e r e n c e between t h e r e s u l t s , and t h u s t h e t a p e r e c o r d e r was n o t found t o i n f l u e n c e t h e s i g n a l n e g a t i v e l y .

The f o l l o w i n g change d i d , however, imply a s u b s t a n t i a l improvement:

- I n c r e a s e o f t h e s ampl ing t i m e f o r e a c h b l o c k from 2 t o 6 s econds . T h i s was accompl i shed by d o u b l i n g t h e number o f d a t a p e r b l o c k and by d e c r e a s i n g sampl ing f r equency . The improvement i s shown i n F i g u r e 1.

An a d d i t i o n a l improvement was o b t a i n e d by:

- I n t r o d u c t i o n of a h i g h p a s s f i l t e r w i t h a b r e a k f r equency of 5 Hz a t t h e t a p e r e c o r d e r o u t p u t . Because o f t h e f i l t e r , t h e s i g n a l a m p l i f i c a t i o n c o u l d b e i n c r e a s e d by a f a c t o r of 4 w i t h o u t o v e r l o a d i n g t h e AD c o n v e r t e r . A f t e r t h i s second improvement o u r APSD a g r e e s , w i t h i n a c c e p t a b l e l i m i t s , w i t h t h e c o r r e c t r e s u l t . The r e s u l t i s shown i n F i g u r e 1.

The c a u s e o f t h e d e v i a t i o n was t h u s a combina t ion o f i n s u f f i c i e n t r e s o l u t i o n i n t h e AD c o n v e r t e r and t o o s h o r t sampl ing t i m e f o r e a c h b l o c k . Both t h e s e c a u s e s w e r e dominant i n t h i s c a s e b e c a u s e t h e i n t e r e s t i n g p a r t o f t h e APSD c o n t a i n e d s h a r p r e s o n a n c e s w i t h low e n e r g y , and t h e dominant p a r t o f t h e enexgy was i n a n o t h e r p a r t o f t h e spec t rum.

Figure 1 . Normalized a u t o power s p e c t r a l d e n s i t y (NAPSD) o f B o r s s e l e ex-core d e t e c t o r s i g n a l (ch. 2 )

NAPSD, HZ-'

5 10 1 5 20 Frequency, Hz

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