The journal of Nuclear Science and Technology - Volume 4, Number 1, March 2014

ISSN 1810-5408  
Nuclear Science  
and Technology  
Volume 4, Number 1, March 2014  
Special issue for the 30th anniversary of the inauguration  
of the restoration and expansion of Dalat nuclear research reactor  
(20 March 1984 - 20 March 2014)  
Published by  
VIETNAM ATOMIC ENERGY SOCIETY  
NUCLEAR SCIENCE AND TECHNOLOGY  
Volume 4, Number 1, March 2014  
Editorial Board  
Editor-in-chief  
Tran Huu Phat (VINATOM)  
Executive Editors  
Vuong Huu Tan (VARANS)  
Le Van Hong (VINATOM)  
Cao Đình Thanh (VINATOM)  
Editors  
Ngo Quang Huy (HUI)  
Phan Sy An (HMU)  
Le Hong Khiem (IOP)  
Cao Chi (VINATOM)  
Dao Tien Khoa (VINATOM)  
Do Ngoc Lien (VINATOM)  
Dang Duc Nhan (VINATOM)  
Nguyen Mong Sinh (VINATOM)  
Le Xuan Tham (DOST of Lamdong)  
Tran Duc Thiep (IOP)  
Nguyen Nhi Dien (VINATOM)  
Bui Dieu (NCI)  
Le Ngoc Ha (Tran Hung Dao Hospital)  
Duong Ngoc Hai (IOM)  
Le Huy Ham (VAAS)  
Nguyen Quoc Hien (VINATOM)  
Bui Hoc (HUMG)  
Le Ba Thuan (VINATOM)  
Huynh Van Trung (VINATOM)  
Dang Thanh Luong (VARANS)  
Nguyen Thi Kim Dung (VINATOM)  
Pham Dinh Khang (VINATOM)  
Nguyen Phuc (VINATOM)  
Nguyen Tuan Khai (VINATOM)  
Hoang Anh Tuan (VAEA)  
Foreign Editors  
Hideki Namba (JAEA, Japan)  
Philippe Quentin (CENBG, CNRS, France)  
Yang (KAERI, Korea)  
Pierre Darriulat (INST)  
Myung Chul Lee (WFNM)  
IU.E.Ponionzkevich (DUBNA , Russia)  
Kato Yasuyoshi (TIT, Japan)  
Managing Secretary  
Nguyen Trong Trang (VINATOM)  
Science Secretary  
Hoang Sy Than (VINATOM)  
....................................................................................................................................................................................................................  
Copyright: ©2008 by the Vietnam Atomic Energy Society (VAES), Vietnam Atomic Energy Institute  
(VINATOM).  
Pusblished by  
Vietnam Atomic Energy Society, 59 Ly Thuong Kiet, Hanoi, Vietnam  
Tel: 84-4-39420463 Fax: 84-4-39424133  
Vietnam Atomic Energy Institute, 59 Ly Thuong Kiet, Hanoi, Vietnam  
Tel: 84-4-39420463 Fax: 84-4-39422625  
....................................................................................................................................................................................................................  
Contents  
Results of Operation and Utilization of the Dalat Nuclear Research Reactor  
Nguyen Nhi Dien, Luong Ba Vien, Le Vinh Vinh, Duong Van Dong, Nguyen Xuan Hai,  
Pham Ngoc Son, Cao Dong Vu..............................................................................................1  
Design Analyses for Full Core Conversion of The Dalat Nuclear Research Reactor  
Luong Ba Vien, Le Vinh Vinh, Huynh Ton Nghiem, Nguyen Kien Cuong........................10  
Conceptual Nuclear Designof a 20 MW Multipurpose Research Reactor  
Nguyen Nhi Dien, Huynh Ton Nghiem, Le Vinh Vinh, Vo Doan Hai Dang, Seo Chulgyo,  
Park Cheol, Kim Hak Sung..................................................................................................26  
Some Main Results of Commissioning of The Dalat Research Reactor with Low Enriched Fuel  
Nguyen Nhi Dien, Luong Ba Vien, Pham Van Lam, Le Vinh Vinh, Huynh Ton Nghiem,  
Nguyen Kien Cuong, Nguyen Minh Tuan, Nguyen Manh Hung, Pham Quang Huy,  
Tran Quoc Duong, Vo Doan Hai Dang, Trang Cao Su, Tran Tri Vien...............................36  
Production of Radioisotopes and Radiopharmaceuticals at the Dalat Nuclear Research Reactor  
Duong Van Dong, Pham Ngoc Dien, Bui Van Cuong, Mai Phuoc Tho, Nguyen Thi Thu,  
Vo Thi Cam Hoa..................................................................................................................46  
The gamma two-step cascade method at Dalat Nuclear Research Reactor  
Vuong Huu Tan, Pham Dinh Khang, Nguyen Nhi Dien, Nguyen Xuan Hai, Tran Tuan  
Anh, Ho Huu Thang, Pham Ngoc Son, Mangengo Lumengano..........................................57  
Progress of Filtered Neutron Beams Development and Applications at the Horizontal  
Channels No.2 and No.4 of Dalat Nuclear Research Reactor  
Vuong Huu Tan, Pham Ngoc Son, Nguyen Nhi Dien, Tran Tuan Anh, Nguyen Xuan Hai….62  
Characterization of neutron spectrum parameters at irradiation channels for neutron  
activation analysis after full conversion of the Dalat nuclear research reactor to low  
enriched uranium fuel  
C.D. Vu, T.Q. Thien, H.V. Doanh, P.D. Quyet, T.T.T. Anh, N.N. Dien.............................70  
Some results of NAA collaborative studyin white rice performed at Dalat Nuclear Research Institute  
T.Q. Thien*, C.D. Vu, H.V. Doanh, N.T. Sy........................................................................76  
A new rapid neutron activation analysis system at Dalat nuclear research reactor  
H.V. Doanh, C.D. Vu, T.Q. Thien, P.N. Son, N.T. Sy, N. Giang, N.N. Dien.....................84  
Nuclear Science and Technology, Vol. 4, No. 1 (2014), pp. 01-09  
Results of Operation and Utilization of  
the Dalat Nuclear Research Reactor  
Nguyen Nhi Dien, Luong Ba Vien, Le Vinh Vinh, Duong Van Dong,  
Nguyen Xuan Hai, Pham Ngoc Son, Cao Dong Vu  
Nuclear Research Institute (NRI), Vietnam Atomic Energy Institute (VINATOM)  
01 Nguyen Tu Luc, Dalat, Vietnam  
(Received 5 March 2014, accepted 26 March 2014)  
Abstract: The Dalat Nuclear Research Reactor (DNRR) with the nominal power of 500 kW was  
reconstructed and upgraded from the USA 250-kW TRIGA Mark-II reactor built in early 1960s. The  
renovated reactor was put into operation on 20th March 1984. It was designed for the purposes of  
radioisotope production (RI), neutron activation analysis (NAA), basic and applied researches, and  
nuclear education and training. During the last 30 years of operation, the DNRR was efficiently  
utilized for producing many kinds of radioisotopes and radiopharmaceuticals used in nuclear medicine  
centers and other users in industry, agriculture, hydrology and scientific research; developing a  
combination of nuclear analysis techniques (INAA, RNAA, PGNAA) and physic-chemical methods  
for quantitative analysis of about 70 elements and constituents in various samples; carrying out  
experiments on the reactor horizontal beam tubes for nuclear data measurement, neutron radiography  
and nuclear structure study; and establishing nuclear training and education programs for human  
resource development. This paper presents the results of operation and utilization of the DNRR. In  
addition, some main reactor renovation projects carried out during the last 10 years are also mentioned  
in the paper.  
Keywords: DNRR, HEU, LEU, RRRFR, RERTR, WWR-M2, NAA, INAA, RNAA, PGNAA.  
I. INTRODUCTION  
converted from HEU to Low Enriched  
Uranium (LEU) with 19.75% enrichment in  
September 2007. Then, the full core conversion  
of the reactor to LEU fuel was also performed  
from 24th November 2011 to 13th January 2012.  
Recently, the DNRR has been operated with a  
core configuration loaded with 92 WWR-M2  
LEU fuel assemblies and 12 beryllium rods  
around the neutron trap.  
The DNRR is a 500-kW pool-type  
reactor loaded with the Soviet WWR-M2 fuel  
assemblies. It was reconstructed and upgraded  
from the USA 250-kW TRIGA Mark-II reactor  
built in early 1960s. The first criticality of the  
renovated reactor was on the 1st November  
1983 and its regular operation at nominal  
power of 500 kW has been since March 1984.  
The first fresh core was loaded with 88 fuel  
assemblies enriched to 36% (HEU- Highly  
Enriched Uranium).  
The reactor is used as a neutron source  
for the purposes of radioisotopes production,  
neutron activation analysis, basic and applied  
researches and training. As a unique research  
reactor in Vietnam, the DNRR has been  
playing an important role in the research and  
development of nuclear technique applications  
as well as in nuclear power programme  
development of the country. Safe operation and  
In the framework of the program on  
Russian Research Reactor Fuel Return  
(RRRFR) and the program on Reduced  
Enrichment for Research and Test Reactor  
(RERTR), the DNRR core was partly  
©2014 Vietnam Atomic Energy Society and Vietnam Atomic Energy Institute  
RESULTS OF OPERATION AND UTILIZATION OF THE DALAT NUCLEAR RESEARCH REACTOR  
effective utilization of the reactor expected at  
least to the year 2030 are a long-term objective  
of the DNRR. For this reason, so far the  
Government has strongly supported for many  
specific projects in order to upgrade the facility  
and improve its operation and utilization.  
some main reactor renovation projects carried  
out during the last 10 years are also  
mentioned, too.  
II. BRIEF REACTOR DESCRIPTION  
AND IT’S OPERATION  
The results of operation and utilization  
Main specifications of the DNRR are  
shown in Table I.  
of the DNRR are presented in this paper and  
Table I. Specifications of the DNRR.  
Reactor type  
Swimming pool TRIGA Mark II, modified to Russian  
type of IVV-9  
Nominal thermal power  
Coolant and moderator  
Core cooling mechanism  
Reflector  
500 kW, steady state  
Light water  
Natural convection  
Beryllium and graphite  
Fuel types  
WWR-M2, dispersed UO2-Al with 19.75% enrichment,  
aluminium cladding  
Number of control rods  
Materials of control rods  
7 (2 safety rods, 4 shim rods, 1 regulating rod)  
B4C for safety and shim rods, stainless steel for  
automatic regulating rod  
Neutron measuring channels  
Vertical irradiation channels  
6 combined in 3 housings with 1 CFC and 1 CIC each  
4 (neutron trap, 1 wet channel, 2 dry channels) and 40  
holes at the rotary rack  
Horizontal beam-ports  
Thermal column  
4 (1 tangential - No #3 and 3 radial - No #1, #2, #4)  
1
Maximum thermal neutron  
flux  
2.1x1013 n.cm-2.s-1 (in the neutron trap at core center)  
Main utilizations  
RI, NAA, PGNAA, NR, basic and applied researches,  
nuclear training  
The reactor consists of a cylindrical  
aluminum tank 6.26 m high and 1.98 m in  
diameter of the original TRIGA Mark II  
reactor. The reactor core, positioned inside the  
graphite reflector, is suspended from above by  
an inner cylindrical extracting well so as to  
increase the cooling efficiency for copping  
with higher thermal power of the reactor. The  
vertical section view of the reactor is shown in  
Fig. 1 and the cross-section view of the reactor  
core is shown in Fig. 2.  
2
NGUYEN NHI DIEN et al.  
~ 2000 mm  
Rotating top lid  
SR  
Pool tank  
Sh  
Sh  
Upper  
cylindrical  
shell  
~ 6840 mm  
Extracting  
well  
RgR  
Concrete  
shielding  
Spent fuel  
storage tank  
Thermal  
column door  
Sh  
Sh  
A
Graphite  
Door plug  
Core  
SR  
(ex bulk-shielding  
experimental tank)  
Fig. 1. Vertical section view of the DNRR reactor.  
Fig. 2. Cross-section view of the core with 92  
fuel assemblies.  
The reactor core has a cylindrical shape  
with a height of 60 cm and a diameter of 44.2  
cm, that is constituted of 92 LEU fuel  
assemblies, 7 control rods, a neutron trap at the  
core center and 3 in-core irradiation facilities.  
At present, the DNRR is operated  
mainly in continuous runs of 100 or 130 hrs,  
once every 3-4 weeks, for radioisotope  
production, neutron activation analyses, basic  
and applied researches and training. The  
remaining time between two consecutive runs  
is devoted to maintenance activities and also to  
physics experiments. From the first start-up to  
the end of 2013, it totaled about 37,800 hrs of  
operation, namely a yearly average of 1300  
hrs, and the total energy released was about  
760 MWd. Detailed yearly operation time of  
the DNRR is given in Fig. 3.  
Type of fuel with a 235U enrichment of  
19.75% of UO2+Al covered by aluminum  
cladding is used. Each LEU fuel assembly  
contains about 50.5 g of U-235, distributed on  
three coaxial fuel tubes, of which the outermost  
one is hexagonal shaped and the two inner ones  
are circular.  
Fig. 3. Yearly operation time of the DNRR.  
3
RESULTS OF OPERATION AND UTILIZATION OF THE DALAT NUCLEAR RESEARCH REACTOR  
So far, the reactor has proved to be safe  
and reliable, as it has never suffered from any  
incident, which significantly affected the  
environment, and annual operation schedules  
have been rigorously respected. The  
unscheduled shutdowns were mainly due to  
unstable working of the city electric network.  
disease therapeutics and 32P in injectable  
solution, 99mTc generator of gel type by 98Mo(n,  
)99Mo reaction have regularly been produced  
and supplied once every 2 weeks. Other  
radioisotopes as 51Cr, 60Co, 65Zn, 64Cu, 24Na,  
etc. were also produced in a small amount  
when requested. 53Sm in solution form was  
ready for labelling. Totally, about 5,500 Ci of  
radioisotopes have been produced and supplied  
to medical uses so far with a yearly average in  
the last 5 years of about 400 Ci (Fig. 4)  
correspondingly.  
III. MAIN RESULTS OF REACTOR  
UTILIZATION  
A. Radioisotopes and radiopharmaceuticals  
production  
In order to support the application of  
Research  
on  
radioisotope  
production  
and  
53  
99mTc, 113mIn and Sm radioisotopes in clinical  
radiopharmaceutical  
serving  
diagnosis and therapeutics, the preparation of  
radio-pharmaceuticals in Kit form for labelling  
was carried out in parallel with the  
development of 99mTc generator systems.  
About 17 labeled compounds kits have been  
regularly prepared and supplied including  
Phytate, Gluconate, Pyrophosphate, Citrate,  
DMSA, HIDA, DTPA, Macroaggregated HSA  
and EHDP, etc.. The annual production rate is  
about 1000 bottles for each Kit which is  
equivalent to 5000 diagnostic doses.  
nuclear medicine and other users such as  
industry, agriculture, hydrology, scientific  
research, etc. is oriented towards efficient use  
of the reactor. Via such research a variety of  
products including 131I, 32P applicators and  
solutions, 99mTc generators, etc. were produced.  
For medicine applications, radioisotopes  
and radiopharmaceuticals have been delivered  
to 25 hospitals throughout the country. The  
main radioisotopes, such as 131I in NaI solution  
and 131I capsule type, 32P applicators for skin  
Fig. 4. Total radioactivity of RI produced annually at Dalat Nuclear Research  
4
NGUYEN NHI DIEN et al.  
Other applications of radioisotopes  
channel. An auto-pneumatic transfer system  
installed in 2012 at the DNRR can transfer a  
sample from irradiation position to measuring  
detector about 3 seconds.  
produced at the DNRR are radiotracer  
technique in sediment studies, oil exploitation,  
chemical industry, biology, agriculture and  
46  
hydrology. Some main products are Sc, 192Ir,  
The k-zero method for INAA has been  
also developed to analyse airborne particulate  
samples for investigation of air pollution; crude  
oil samples and base rock samples for oil field  
study. Based on developed k-zero-INAA  
method, a multi-elements analysis procedures  
have been applied to simultaneously determine  
concentration for about 31 elements including  
Al, As, Ba, Br, Ca, Cl, Cr, Cu, Dy, Eu, Fe, Ga,  
Hf, Ho, K, La, Lu, Mg, Mn, Na, Sb, Sc, Sm,  
Sr, Th, Ti, V, Yb, Zn.  
198Au, 131I, 140La, etc. In addition, some small  
sources of 192Ir and 60Co with low radioactivity  
have also been produced for industry  
applications.  
B. Neutron activation analysis  
Research on analytical techniques based  
on neutron activation and other related  
processes consists of the elaboration of  
analytical processes and the design and  
construction of analytical instruments.  
C. Neutron beam utilization  
Requests of many branches of the  
national economy for various types of samples  
have quickly been responded. NAA at the  
DNRR has always been met the demand of  
analytical services for geology exploration, oil  
The reactor has four horizontal beam  
ports, which provide beams of neutron and  
gamma radiation for a variety of experiments.  
They also provide irradiation facilities for  
large specimens in a region close to the  
reactor core. Besides, the reactor also has a  
large thermal column with outside dimensions  
of 1.2m by 1.2m in cross section and 1.6m in  
length (Fig. 5).  
prospecting,  
agriculture,  
biology,  
environmental studies, etc.  
The relatively high neutron flux in  
irradiation channels of the reactor allows  
elemental analysis using various neutron  
activation approaches, such as Instrumental  
NAA (INAA), Radiochemical NAA (RNAA),  
Delayed NAA (DNAA) and Prompt gamma  
NAA (PGNAA). By the end of 2013, a total  
of about 60,000 samples have been irradiated  
at the reactor with a yearly average of 2000  
samples. It can be estimated that those make  
up 60% of geological samples, 10% of  
biological samples, 20% of environmental  
samples, 5% of soil and agriculture materials,  
3% of industrial materials.  
Up to now, only three beam ports (No.2,  
No.3 and No.4) and the thermal column have  
been used for reseaches and applications. At  
the beam port No.2, a BGO-HPGe gamma-rays  
Compton suppression spectrometer has been  
recently  
installed  
for  
PGNAA  
and  
experimental researches on neutron capture  
reactions. The filtered thermal neutron beams  
extracted from the tangential beam port No.3  
are used for nuclear structure studies,  
especially for experimental determination of  
nuclear energy levels and level density in  
regions below neutron binding energy. The  
filtered neutron beams at the piercing beam  
port No.4 with quasi-monoenergies of 24keV,  
54keV, 59keV, 133keV and 148keV are used  
In order to determine the elements  
having short-lived radionuclides, the method of  
cyclic INAA with the alternation of irradiation  
and measurement was implemented by using  
the thermal column and vertical irradiation  
5
RESULTS OF OPERATION AND UTILIZATION OF THE DALAT NUCLEAR RESEARCH REACTOR  
for the mesurements of neutron total and  
capture cross sections. In addition, these  
neutron beams are also applied for practical  
study on radiation shielding design. Typical  
research activities using neutron beam of the  
DNRR are listed below.  
Thermal column  
No. 2: Gamma spectrometry  
system with BGO detector for  
PGNAA and neutron capture  
reactions study  
No. 3: Nuclear  
structure study  
Column  
door  
Beam port  
# 2  
Beam port  
# 3  
Thermal  
Column  
Stainless steel  
Aluminum  
Graphite reflector  
Pool tank wall  
Core  
Bellow s  
assembly  
Beam port  
#
1
Beam port # 4  
No. 4: Nuclear data  
measurement  
Thermalizing column (closed)  
This port is closed  
Concrete  
shielding  
Spent fuel storage tank  
Fig. 5. Horizontal section view of the DNRR.  
Neutron physics and nuclear data measurement  
- Measurement of isomeric ratio created  
in the reaction 81Br(n, )82Br on the 55 keV and  
144 keV neutron beams;  
In the keV energy region, filtered  
neutron beams are the most intense sources,  
which can be used to obtain neutron data for  
reactors and other applications. The following  
experiments have been carried out at the  
DNRR including:  
- And other investigations, such as  
average resonance capture measurements,  
using the -coincidence spectrometer for  
study on the (n, 2) reaction, etc.  
Application of neutron capture gamma ray  
spectroscopy  
- Total neutron cross section measurement  
for 238U, Fe, Al, Pb on filtered neutron beams  
at 144 keV, 55 keV, 25 keV and evaluation of  
average neutron resonance parameters from  
experimental data;  
- Development of PGNAA technique using  
the filtered thermal neutron beam in  
combination with the Compton-suppressed  
spectrometer for analyzing Fe, Co, Ni, C in  
steel samples; Si, Ca, Fe, Al in cement  
samples; Gd, Sm, Nd in uranium ores, Sm, Gd  
in rare earth ores; etc.;  
- Gamma ray spectra measurement from  
neutron capture reaction of some reactor  
materials (Al, Fe, Be, etc.) on filtered neutron  
beam at 55 keV and 144 keV;  
- Utilization of the PGNAA method for  
investigating the correlation between boron  
and tin concentrations in geological samples as  
a geochemical indication in exploration and  
assessment of natural mineral resources;  
analyzing boron in sediment and sand samples  
-
Measurement of average neutron  
radioactive capture cross section of 238U, 98Mo,  
151Eu, 153Eu on the 55 keV and 144 keV  
neutron beams;  
6
NGUYEN NHI DIEN et al.  
to complement reference data for such samples  
from rivers;  
Besides, the DNRR has been used as a  
main tool for practical training, a set of  
equipment was supported under IAEA TC  
project, bilateral projects with the Japan  
Atomic Energy Agency and Bhabha Atomic  
Research Center of India. The measuring  
systems for practices at the Training Center  
can meet the fast increasing demand and is  
expected to move forward to the regional  
standard in the field of nuclear training.  
- Development of the spectrometer of  
summation of amplitudes of coinciding pulses  
for (n, 2) reaction research and for measuring  
activity of activated elements with high  
possibility of cascade transitions.  
D. Eduacation and training activities  
Training Center at Dalat Nuclear  
Research Institute which was established in  
1999 is responsible for organizing training  
courses and training in reactor engineering,  
nuclear and radiation safety, application of  
nuclear techniques and radioisotopes in  
industry, agriculture, biology and environment,  
etc. Training courses on non-destructive  
evaluation (NDE) including radiographic  
testing, ultrasonic testing as well as on security  
of nuclear facilities and radiation sources have  
also been done. The center also is the training  
facility for expertise students from local  
universities and foreign postgraduate students.  
Thereby, the human resource development is  
conducted annually so that it can deal with  
scientific works of higher and higher quality  
and meet a huge demand in the field of nuclear  
science and technology in Vietnam in the  
future. Thanks to the bilateral co-operation  
with the Japan Atomic Energy Agency, US  
Department of Energy, Bhabha Atomic  
Research Center of India, and Korea Atomic  
Energy Research Institute, we have conducted  
a variety of training courses in the four  
following key areas:  
E. Other applications  
Research on sediment using radiotracer  
techniques was carried out to investigate bed  
load layers displacement at estuaries  
navigation channel region and to explain the  
sediment deposition phenomenon causing  
frequent dredging activities.  
Research on radio-biology consists of  
using gamma radiation associated with other  
factors for improving agricultural seeds and  
applying radioactive tracers for studying  
biological metabolism, especially nutrition  
problems. These studies are to investigate  
phosphorus absorption and other nutritional  
problems during the growing processes of rice  
and other plants. Irradiation effects on some  
plants to gain higher yield or environment  
adapted varieties were also studied.  
Gemstone colorizing experiments of  
topaz and sapphire in the reactor core, in the  
rotary rack as well as in horizontal channels  
has been done.  
As research purpose, silicon mono-  
crystals have been irradiated at the central  
neutron trap of the reactor. Irradiated products  
of good quality, appropriate for fabrication of  
power diodes and thyristors have been created  
thanks to proper neutron distribution in this  
irradiation facility and suitable cadmium ratio.  
- Reactor engineering for nuclear power  
programme;  
- Research and development activities;  
- State management in the field;  
- And University lecturer training program.  
7
RESULTS OF OPERATION AND UTILIZATION OF THE DALAT NUCLEAR RESEARCH REACTOR  
IV. SOME MAIN REACTOR RENOVATION  
PROJECTS PERFORMED  
B. Reactor control and instrumentation system  
modification  
A. Reactor conversion from HEU to LEU fuels  
The Control and Instrumentation System  
(C&I) of the DNRR was designed and  
manufactured by the former Soviet Union and  
put into operation in November 1983. Due to  
the spare part procurement problem was  
suspected and using technology of the 1970’s  
with discrete and low-level integrated  
electronic components, the system technology  
was somewhat obsolete and un-adapted to  
tropical climate.  
In the framework of the program on  
Russian Research Reactor Fuel Return  
(RRRFR) and the program on Reduced  
Enrichment for Research and Test Reactor  
(RERTR), the DNRR core was partly  
converted from HEU to LEU in September  
2007.  
After this success, the full core  
conversion study from HEU to LEU of the  
DNRR was also carried out during years 2008  
- 2010. The results of neutronics, thermal  
hydraulics and safety analysis showed that a  
LEU core loaded with 92 fuel assemblies and  
12 beryllium rods around the neutron trap  
satisfies the safety requirements while  
maintaining the utilization possibility similar  
to that of the previous HEU and recent mixed  
fuel cores.  
The first renovation work was  
implemented during 1992-1993 period and the  
renovated C&I system was commissioned at  
the end of 1993. The most important  
renovation task was to redesign and construct a  
number of electronic systems/blocks, which  
play the key role in enhancing the reliability of  
the system. This renovation work was focused  
mainly on the process and instrumentation  
system, but not on the neutron measurement  
and data processing parts. Because of that, it  
was necessary to fulfill the second renovation  
and modernization during the years of 2005-  
2007 to replace neutron measurement and  
signal processing parts of the existing C&I  
system by the digital system named ASUZ-  
14R. The main items replaced under the  
second modification are neutron detector  
channels; neutron flux control system  
(NFCS), reactor protection system, control  
console and control panels, reactor protocol  
and diagnostic system, etc.  
Physics and energy start-up of the  
DNRR for full core conversion to low  
enriched uranium (LEU) fuel were performed  
from November 24th, 2011 until January 13th,  
2012 according to a planned program that  
was approved by Vietnam Atomic Energy  
Institute (VINATOM). At 15:35 on  
November, 30th, 2011 the reactor reached  
criticality with core configuration including  
72 LEU FAs and neutron trap in center. Then  
the fuel loading for working core and power  
ascension test were also carried out from  
December, 6th, 2011 to January, 13th, 2012.  
Experimental results of physical and thermal  
hydraulics parameters of the reactor during  
start up stages and long operation cycles at  
nominal power showed very good agreement  
with calculated results and met the safety  
requirements.  
The commissioning of the new I&C  
system was finished in August 2007 and  
operating license was approved in October  
2007.  
8
NGUYEN NHI DIEN et al.  
V. CONCLUSIONS  
REFERENCES  
The DNRR has been safely operated and  
effectively utilized for 30 years. To achieve  
that, maintaining and upgrading the reactor  
technological facilities have been done with a  
high quality. The reactor physics and thermal  
hydraulics studies have also provided the  
important bases for safety evaluation and in-  
core fuel management to ensure its safe  
operation and effective exploitation. The  
safety and security for the reactor are one of  
the main issues that national and local  
authorities are particularly interested in and  
strongly support up.  
[1] Nguyen Nhi Dien, Dalat Nuclear Research  
Reactor - Twenty five years of safe operation  
and efficient exploitation, Dalat, (March 2009).  
[2] Duong Van Dong, Status of Radioisotope  
Production and Application in Vietnam, Dalat  
Sym. RR-PI-09, Dalat, (2009).  
[3] V. V. Le, T. N. Huynh, B. V. Luong, V. L.  
Pham, J. R. Liaw, J. Matos, Comparative  
Analyses for Loading LEU Instead of HEU  
Fuel Assemblies in the DNRR, RERTR Int’l  
Meeting, Boston, (2005).  
[4] P.V. Lam, N.N. Dien, T.D. Hai, L.B. Vien,  
L.V. Vinh, H.T. Nghiem, N.M. Tuan and N.K.  
Cuong, Results of the reactor control system  
replacement and reactor core conversion at the  
Dalat nuclear research reactor, The 12th Annual  
Topical Meeting on Research Reactor Fuel  
Management, Hamburg, Germany, (2008).  
During 30 years of operation, the DNRR  
has been playing an important role in the use  
of atomic energy for peaceful purpose in  
Vietnam. The reactor has been used for  
radioisotope production for medicine and  
industry purposes, NAA of geological, crude  
oil and environment samples, performance of  
fundamental and applied researches on  
nuclear and reactor physics, as well as  
creation of a large amount of human resource  
with high skills and experiences on  
application of nuclear techniques in the  
country. A strategic plan and long-term  
working plan for the DNRR has been set up in  
order to continue its safe operation and  
effective utilization at least to 2025.  
[5] P.V. Lam, N.N. Dien, L.V. Vinh, H.T.  
Nghiem, L.B. Vien and N.K. Cuong,  
Neutronics and thermal hydraulics calculation  
for full core conversion from HEU to LEU fuel  
of the Dalat nuclear research reactor, RERTR  
Int’l Meeting, Lisbon, Portugal, (2010).  
[6] L.B. Vien, L.V. Vinh, H.T. Nghiem and N.K.  
Cuong, Transient/ accident analyses for full  
core conversion from HEU to LEU fuel of the  
Dalat nuclear research reactor, RERTR Int’l  
Meeting, Lisbon, Portugal, (2010).  
[7] C.D. Vu, Study on application of k0-IAEA at  
Dalat research reactor, Project report (code  
CS/09/01-01), (2010).  
It should be mentioned that a project for  
establishment of a new nuclear science and  
technology center with a high power research  
reactor expected to put into operation between  
2020-2022 is now under preparation and  
consideration. Therefore, the DNRR will be  
necessary and keep playing an important role  
in scientific research, applications and human  
resource development for Vietnam in the  
coming time.  
[8] N.N. Dien, L.B. Vien, P.V. Lam, L.V. Vinh,  
H.T. Nghiem, N.K. Cuong, N.M. Tuan, N.M.  
Hung, P.Q. Huy, T. Q. Duong, V.D.H. Dang,  
T.C. Su, T.T. Vien, Some main results of  
commissioning of the Dalat Nuclear Research  
Reactor with low enriched fuel, Nuclear  
Research Institute, (2012).  
[9] Safety Analysis Report (SAR) for the Dalat  
Research Reactor, Dalat, (2012).  
9
Nuclear Science and Technology, Vol. 4, No. 1 (2014), pp. 10-25  
Design Analyses for Full Core Conversion of  
The Dalat Nuclear Research Reactor  
Luong Ba Vien, Le Vinh Vinh, Huynh Ton Nghiem, Nguyen Kien Cuong  
Reactor Center – Nuclear Research Institute – Vietnam Atomic Energy Institute  
01 Nguyen Tu Luc, Dalat, Lamdong  
(Received 5 March 2014, accepted 10 March 2014)  
Abstract: The paper presents calculated results of neutronics, steady state thermal hydraulics and  
transient/accidents analyses for full core conversion from High Enriched Uranium (HEU) to Low  
Enriched Uranium (LEU) of the Dalat Nuclear Research Reactor (DNRR). In this work, the  
characteristics of working core using 92 LEU fuel assemblies and 12 beryllium rods were investigated  
by using many computer codes including MCNP, REBUS, VARI3D for neutronics, PLTEMP3.8 for  
steady state thermal hydraulics, RELAP/MOD3.2 for transient analyses and ORIGEN, MACCS2 for  
maximum hypothetical accident (MHA). Moreover, in neutronics calculation, neutron flux, power  
distribution, peaking factor, burn up distribution, feedback reactivity coefficients and kinetics parameters  
of the working core were calculated. In addition, cladding temperature, coolant temperature and ONB  
margin were estimated in steady state thermal hydraulics investigation. The working core was also  
analyzed under initiating events of uncontrolled withdrawal of a control rod, cooling pump failure,  
earthquake and MHA. Obtained results show that DNRR loaded with LEU fuel has all safety features as  
HEU and mixed HEU-LEU fuel cores and meets requirements in utilization as well.  
Keywords: HEU, LEU, neutronics, thermal hydraulics, safety analyses  
I. INTRODUCTION  
kinetics parameters. Because the higher content  
of 235U in a LEU FA compared to HEU FA, it  
is needed to rearrange the fuel assemblies and  
berrylium rods with the different way to the  
first HEU core to meet the safety requirements.  
In this full core conversion study,  
neutronics, thermal hydraulics and safety  
analysis were carried out to investigate  
characteristics of LEU working core fully  
loaded with LEU fuel. All computer codes  
were validated with HEU and mixed cores.  
Thermal hydraulics parameters at steady  
state condition were obtained by using  
PLTEMP3.8 code [11] introduced models and  
correlations that suitable for the concentric  
tube fuel type and natural convection regime of  
the DNRR.  
Using MCNP [6], REBUS-PC [5] and  
VARI3D computer codes, a series of static  
reactor physics calculation were performed to  
obtain neutronics parameters of the working  
core (see Fig. 1). Some parameters included in  
the design of working core with shutdown  
margin, excess reactivity taking into account of  
irradiated Beryllium poisoning, control rod  
worths, detailed power peaking factors,  
neutron performance at the irradiation  
positions, reactivity feedback coefficients, and  
Based on the neutronics analysis  
parameters of the LEU core, the postulated  
transients and accidents selected for the DNRR  
are analyzed. The RELAP5/MOD3.2 code [15]  
was used for analysis of RIA (Reactivity  
Initiated Accident), LOFA (Loss Of Flow  
Accident) transients.  
©2014 Vietnam Atomic Energy Society and Vietnam Atomic Energy Institute  
LUONG BA VIEN, LE VINH VINH, HUYNH TON NGHIEM, NGUYEN KIEN CUONG  
These study results showed that a LEU  
core loaded with 92 fuel assemblies and 12  
beryllium rods around the neutron trap satisfies  
the safety requirements while maintaining the  
utilization possibility similar to that of the  
previous HEU and recent mixed fuel cores.  
REBUS-MCNP Linkage [7] was used  
to calculate burnup distribution using “two  
way” linking option in which MCNP is used  
for calculating neutron flux and cross section  
in one group neutron energy and burn up  
calculation is implemented by REBUS-PC.  
The MCNP5 code using an ENDF-B/VI  
cross section library was used to construct a  
detailed geometrical model of each reactor  
component and calculate control rod worths,  
multiplication coefficient, power distribution,  
neutron flux performance in irradiation  
positions, reactivity feedback coefficients, and  
kinetics parameters (prompt neutron life time  
and delayed neutron fraction).  
A detailed geometrical model of reactor  
components including all fuel assemblies,  
control rods, irradiation positions, beryllium  
and graphite reflectors, horizontal beam tubes  
and thermal column was made in the MCNP  
model, except in the axial reflectors above and  
below the fuel assembly where some materials  
were homogenized. Fig. 2a provides the radial  
and axial models of the reactor for Monte  
Carlo Calculations.  
Fig. 1. The new designed working core loaded with  
92 LEU FA and 12 Beryllium rods.  
II. CALCULATION MODELS AND  
COMPUTER CODES  
A. Neutronics and Thermal Hydraulics  
Calculation  
The diffusion code REBUS-PC with  
finite difference flux solution method was used  
to perform core calculation for reactor physics  
characteristics and operation cycle calculations  
with micro neutron cross sections according to  
7 energy groups (collapsed from 69 energy  
groups) that were generated by WIMS-ANL  
The kinetics parameters were calculated  
also by VARI3D code. The real and adjoint  
fluxes which are required to compute these  
parameters were provided by DIF3D-a main  
module of REBUS-PC code.  
In diffusion theory, the reactor was  
modeled in hexagonal geometry with a  
heterogeneous representation of the fuelled and  
non-fueled portions (see Fig. 2a). Each  
homogenized fuel assembly was modelled  
using five equal volume axial depletion zones.  
The beam tubes were modeled using a  
homogenized mixture of air or concrete,  
graphite and aluminum.  
code [4].  
The FA cross sections were  
generated in a radial geometry with each fuel  
element depleted based upon its unique neutron  
spectrum in the WIMS-ANL model. The  
REBUS-PC fuel depletion chains included  
production of six Pu isotopes, Am-241, Np-  
237, and lumped fission product. Isotopic  
precursors of Xe-135 and Sm-149 were also  
included in the depletion chains so that Xe and  
Sm transients during periods of shutdown and  
startup could be modelled.  
The reactor models for diffusion and  
Monte-Carlos computer codes were validated  
by comparing with good agreement not only to  
11  
DESIGN ANALYSES FOR FULL CORE CONVERSION OF …  
the fresh HEU configuration cores but also to  
for PLTEMP code. A fuel assembly was  
modelled as three concentric cylindrical tubes.  
the HEU burnt cores. These models were then  
applied for partial core conversion analyses of  
DNRR [3]. The measured data collected during  
the deployment of partial core conversion  
project showed that the predicted calculation  
results are quite acceptable [8,9].  
Before using PLTEMP code to  
calculate for DNRR with fully LEU fuel  
assemblies, the code was validated by  
comparing  
analytical  
results  
with  
experimental results of mixed-core.  
The PLTEMP/ANL3.8 [15] thermal-  
hydraulics code for plate and concentric-tube  
geometries with capability of calculating  
natural circulation flow was used for thermal-  
hydraulics analyses. A chimney model as well  
as Collier heat transfer correlation and CHF  
Shah’s correlation have been recently  
implemented make the code suitable DNRR  
thermal-hydraulics calculation.  
B. Transient/Accidents analyses  
The DNRR has three barriers as other  
research reactors that prevent or limit the  
transport of fission products to the  
environment, which are fuels and cladding,  
reactor pool water and reactor confinement.  
The safety system settings are showed in  
Table I.  
Fig. 2b shows the model of WWR-M2  
fuel assembly, core and chimney of the DNRR  
Table I. Safety system settings.  
Parameters  
Maximum thermal power (Pmax)  
Minimum reactor period (Tmin)  
Deficient level of pool water  
Primary coolant flow rate  
Safety system settings  
550 kW (110% FP)  
20s  
60 cm  
40 m3/h  
Secondary coolant flow rate  
70 m3/h  
In the Safety Analysis Report (SAR) for  
the DNRR [1], the possible initiating events  
were classified by groups. The initiating events  
in each group are then analyzed and justified in  
order to identify the limiting event that will be  
selected for further detail quantitative analysis.  
The limiting event in each group has potential  
consequences that exceed all others in that  
group. Limiting events were selected for  
detailed analyzed are as follows: (1)  
Uncontrolled withdrawal of a control rod; (2)  
Primary/Secondary  
Pump  
Failure;  
(3)  
Earthquake; (4) Fuel cladding failure. A  
summary of the core parameters used for the  
safety analysis is given in Table II.  
Fig. 2a. Radial and Axial models for Monte  
Carlo calculations (upper) and Radial model  
for Diffusion Theory calculations (under).  
12  
LUONG BA VIEN, LE VINH VINH, HUYNH TON NGHIEM, NGUYEN KIEN CUONG  
To ensure the fuel clad integrity in  
operational condition and to protect the public  
and the environment in case of accident, in the  
SAR for the DNRR, the following acceptance  
criteria were defined:  
For anticipated  
occurrences:  
1)  
-
operational  
3)  
(1) Minimum margin to departure from  
nucleate boiling (DNB) shall be over 1.5;  
(2) Maximum temperature of fuel cladding  
shall not exceed 400oC;  
2)  
Fig. 2b. DNRR model for PLTEMP  
(1-fuel assembly cross-section; 2-FA model  
for PLTEMP; 3-reactor coolant system model).  
(3) Fuel cladding integrity shall be  
assured.  
- For accident conditions:  
core corresponding to a cooling channel with  
maximum heat flux. The average channel  
represents the rest of the cooling channels.  
Each channel was modelled as three fuel  
element plates and four coolant flow gaps. The  
nodding diagram of the DNRR for  
RELAP5/3.2 is presented in Fig. 2c.  
(1) Core covering shall be maintained;  
(2) Core shall not be remarkably  
damaged;  
(3) Release of fission products into the  
environment shall not be remarkable.  
The RELAP5 code was used for  
analyzing the events of excess reactivity  
insertion by uncontrolled withdrawal of a  
control rod and earthquake. The piping of the  
primary cooling system and pool volume were  
divided into nodes with similar dynamic  
characteristics. The reactor core was divided  
into 2 channels with axial nodes. The hot  
channel represents the hottest channel in the  
The MACCS2 code [19] was used to  
estimate the radiological impact of the  
hypothetical accident on the surrounding  
public. The core radiation inventories were  
calculated by ORIGEN2 code [20] using  
neutron cross-sections of the actinides obtained  
from MCNP5 code.  
Fig. 2c. Nodding diagram of DNRR for RELAP5/3.2.  
13  
DESIGN ANALYSES FOR FULL CORE CONVERSION OF …  
Table II. Core parameters used for safety analysis.  
Parameters  
Values  
500  
Power, kW  
Coolant inlet temperature, oC  
Peaking factor (shim rods at 300 mm)  
- Axial peaking factor  
- Radial peaking factor  
- Local peaking factor  
Reactor kinetics  
32  
1.363  
1.376  
1.411  
8.92510-5  
7.55110-3  
- Prompt neutron life, s  
- Delayed neutron fraction (1$)  
Temperature reactivity coefficients  
- Moderator, %/K; (293-400oK)  
- Fuel, %/oC;  
- 1.26410-2  
(293-400oK)  
- 1.8610-3  
- 1.9210-3  
- 1.5610-3  
(400-500oK)  
(500-600oK)  
- Void, %/% of void  
(0-5%)  
(5-10%)  
(10-20%)  
-0.2432  
-0.2731  
-0.3097  
Reactivity control  
- Shutdown worth, % (2 safety rods)  
- Maximum withdrawal speed of one shim  
rod, mm/s  
3.7  
3.4  
and of the regulating rod, mm/s  
Reactor protection characteristics  
- Response time to overpower scram, s  
- Response time to fast period scram, s  
Start-up range  
20  
0.16  
9.1  
6.7  
Working range  
- Drop time of control rods, s  
0.67  
results in large negative reactivities which alter  
flux and power distributions.  
III. RESULTS AND DISCUSSIONS  
A. Neutronics and Thermal Hydraulics  
Program Beryl [10] has been modified  
to calculate the 3He, 6Li and 3H concentrations.  
The MCNP5 was then used to determine the  
poisoning effect of 3He, 6Li and 3H  
concentrations on reactor core reactivity. The  
comparison of reactivities between calculation  
results and measured data of some beryllium  
blocks irradiated in DNRR (Table III) shows  
that the negative reactivity of irradiated  
beryllium determined by above-mentioned  
3He and 6Li Poisoning of Irradiated  
Beryllium [10]  
Since 1984, the DNRR has been put into  
operation with a considerable amount of  
Beryllium used for neutron trap at the core  
center and periphery for improving neutron  
reflection around. Because Beryllium has large  
thermal neutron absorption cross sections, the  
3
6
3
buildup of He, Li and H concentrations  
14  
LUONG BA VIEN, LE VINH VINH, HUYNH TON NGHIEM, NGUYEN KIEN CUONG  
method is reliable. Six beryllium rods were  
used for measurement, two fresh beryllium  
rods and four irradiated beryllium rods (two  
beryllium rods at the end 1994 and two at the  
end 2002). 9-6 and 5-6 positions were chosen  
to measure reactivity of couple beryllium rods  
through changing position of control rod  
(Regulating Rod). The error of control rod  
position is estimated about 0.4 cent.  
Following calculation scheme for beryllium  
poisoning above, reactivity of the poisoning  
process in new configuration cores about -1$.  
All calculation for design LEU cores,  
beryllium poisoning is included in the model  
for MCNP code.  
Table III. Comparison of calculated and measured of reactivities of irradiated beryllium rods in DNRR.  
Measured reactivity  
(Cent)  
Calculated reactivity  
(Cent)  
Error  
(%)  
2 Beryllium Rods at  
the end 1994  
16.34  
-3.89 0.4  
-4.65 0.0038  
2 Beryllium Rods at  
the end 2002  
12.66  
-6.28 0.4  
-7.19 0.0039  
The working core characteristics  
the Table IV. The shutdown margins of the  
core is met the safety requirement of -1.0%.  
Calculated neutron flux at the neutron trap of  
the core is nearly the same as that of mixed  
core (92HEU+12LEU). Table V shows the  
control rod worths. Detailed neutron flux  
performance at the main irradiation positions  
are presented in Table VI.  
From the calculation results of shutdown  
margins, excess reactivities, power peaking  
factors, and neutron performance at the  
irradiation positions of 4 candidates cores, the  
working core with the better features from the  
safety and utilization point of view was chosen  
for detailed analysis. The main calculated  
characteristics of working core is showed in  
Table IV. Calculation results of working core compared with current mixed core.  
Current Mixed  
Core  
Parameters  
LEU Core  
Excess Reactivity (%) – Fresh  
Excess Reactivity (%) – After 600FPDs  
Shutdown Margin (%) – Fresh  
Shutdown Margin (%) – After 600 FPDs  
Radial Power Peaking Factor  
Control Rods Out  
6.63  
3.79  
-2.92  
-6.62  
-4.56  
1.431  
1.398  
1.434  
Control Rods In  
Thermal Neutron Flux at Neutron Trap Center (n/cm2)  
Control Rods Out  
2.22E+13  
2.14E+13  
2.22E+13  
3.15E+12  
Control Rods In  
Fast Neutron Flux at Neutron Trap Center (n/cm2)  
Control Rods Out  
1.95E+12  
1.92E+12  
Control Rods In  
15  
DESIGN ANALYSES FOR FULL CORE CONVERSION OF …  
Table V. Control Rods worths (%k/k).  
Core1  
Fresh  
MCNP  
error  
Core1  
Burnt  
MCNP  
error  
Control Rods  
Shim rod 1  
2.5896  
2.6100  
2.7784  
2.4687  
0.4363  
2.1955  
2.2356  
0.000091  
0.000111  
0.000118  
0.000122  
0.000126  
0.000106  
0.000119  
2.3539  
2.4033  
2.5381  
2.2604  
0.3629  
2.3084  
2.3579  
0.000091  
0.000124  
0.000122  
0.000117  
0.000119  
0.000115  
0.000105  
Shim rod 2  
Shim rod 3  
Shim rod 4  
Regulating rod  
Safety rod 1  
Safety rod 2  
Table VI. Neutron flux performance.  
Thermal, <0.625eV  
(n/cm2.s)  
Epithermal,  
<0.821MeV  
(n/cm2.s)  
Fast, <10MeV  
(n/cm2.s)  
Irradiation positions  
Fresh  
Maximum 2.07E+13 2.20E+13 6.79E+12 7.12E+12 1.83E+12 1.92E+12  
Average 1.45E+13 1.49E+13 6.00E+12 6.04E+12 1.62E+12 1.63E+12  
Maximum 9.45E+12 9.86E+12 8.19E+12 8.42E+12 2.98E+12 3.02E+12  
Average 7.00E+12 7.12E+12 6.53E+12 6.51E+12 2.46E+12 2.44E+12  
Maximum 5.41E+12 5.66E+12 9.63E+12 9.76E+12 4.22E+12 4.26E+12  
Average 4.11E+12 4.18E+12 7.23E+12 7.15E+12 3.19E+12 3.15E+12  
Maximum 9.24E+12 9.71E+12 8.02E+12 8.22E+12 2.92E+12 2.99E+12  
Burnt  
Fresh  
Burnt  
Fresh  
Burnt  
Neutron  
Trap  
Channel  
13-2  
Channel  
7-1  
Channel  
1-4  
Average  
6.85E+12 7.01E+12 6.41E+12 6.40E+12 2.42E+12 2.40E+12  
Rotary  
Specimen  
Average  
3.55E+12 3.56E+12 7.58E+11 7.56E+11 1.93E+11 1.93E+11  
Power Distribution and Power Peaking  
Factors  
of control rods at 250 mm. Detailed axial  
power distribution according to control rod  
position was also calculated. Radial power  
distributions at different control rod position  
are showed in Fig. 3.  
Power peaking factors of the core with  
different position of control rods were  
calculated and presented in Table VII. The  
maximum power peaking factor is in position  
Table VII. Power peaking factor according to control rod positions  
Peaking Factor  
F.A. Radial Core Radial Axial  
Position  
(mm)  
Total  
2.498  
2.589  
2.615  
2.648  
2.646  
2.605  
2.537  
0
1.378  
1.378  
1.375  
1.377  
1.376  
1.378  
1.378  
1.398  
1.399  
1.403  
1.409  
1.411  
1.415  
1.434  
1.296  
1.343  
1.356  
1.365  
1.363  
1.336  
1.284  
150  
200  
250  
300  
350  
600  
16  
LUONG BA VIEN, LE VINH VINH, HUYNH TON NGHIEM, NGUYEN KIEN CUONG  
0.980  
0.957  
1.165  
1.126  
1.164  
1.129  
0.973  
0.947  
0.849 0.858 0.979 1.107 1.006 0.885  
0.851 0.858 0.964 1.085 1.001 0.895  
0.913  
0.901  
0.963  
0.958  
1.004  
1.008  
0.835  
0.889  
0.877 0.762  
0.875 0.817  
1.021  
1.023  
0.775 0.908  
0.833 0.913  
0.825  
0.876  
SR  
1.082  
1.124  
1.406  
1.368  
ShR  
ShR 1.090 1.410  
0.790  
0.841  
0.787 0.921  
0.843 0.915  
0.917  
0.906  
1.126 1.370  
0.962 0.872 0.906 1.281  
0.939 0.873 0.953 1.296  
1.259 0.882 0.842  
1.283 0.937 0.850  
0.919  
0.903  
1.138  
1.090  
0.983  
0.975  
0.959  
0.933  
0.998  
0.974  
1.313  
1.289  
1.353  
1.321  
0.865  
0.855  
0.930  
0.929  
1.139  
1.122  
0.911  
0.900  
RgR  
1.056 1.220  
1.027 1.192  
1.307  
1.284  
1.167 1.018 0.996 1.364  
1.117 0.991 0.987 1.332  
0.918 0.843 0.911  
0.919 0.837 0.887  
0.868  
0.919  
1.252  
1.273  
0.845  
0.835  
1.020 0.903  
0.992 0.904  
0.929 1.296  
0.975 1.312  
0.808  
0.818  
0.996 0.830  
0.977 0.881  
1.079  
1.114  
ShR  
ShR  
1.421 1.408  
1.381 1.368  
1.106  
1.145  
0.755 0.841  
0.808 0.836  
0.968 0.810 0.860 1.038  
0.959 0.863 0.910 1.038  
1.005 0.816 0.745 0.831  
1.006 0.866 0.803 0.836  
SR  
1.016 0.918 1.031 1.124 0.986 0.858 0.843 0.895  
0.994 0.917 1.019 1.097 0.970 0.857 0.846 0.889  
1.180 0.985  
1.137 0.960  
1.198  
1.156  
0.973  
0.949  
Fig. 3. Radial power distribution (Upper values: Fresh Core; Under values: Burnt Core)  
Reactivity Feedback Coefficients and  
Kinetics Parameters  
kinetics parameters of the LEU cores  
calculated using the VARI3D and MCNP5  
codes. The calculated results from the two  
computer codes are in good agreement.  
These data will be used in transient  
calculation for safety analysis of fully LEU  
core of DNRR.  
Reactivity  
feedback  
coefficients  
calculated with the MCNP5 are depicted in  
Table VIII. The negative results of reactivity  
feedback coefficients show the inherent  
safety of the LEU core. Table IX shows the  
Table VIII. Feedback reactivity coefficients.  
Parameter  
DATA  
±σ  
Moderator Temperature Reactivity Coefficient (%/oC)  
293 oK to 400 oK  
-0.01317  
0.00005  
Fuel Temperature (Doppler) Reactivity Coefficient  
(%/oC)  
293 oK to 400 oK  
400 oK to 500 oK  
500 oK to 600 oK  
-0.00192  
-0.00182  
-0.00154  
0.00005  
0.00003  
0.00002  
Moderator Density (Void) Reactivity Coefficient (%/%  
of void)  
0 to 5 %  
-0.2514  
-0.2784  
-0.3255  
0.0011  
0.0012  
0.0006  
5% to 10 %  
10 % to 20 %  
17  
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