Analysis of in-vessel accident progression in VVER1000 NPP during SBO accident with external reactor vessel cooling method

Nuclear Science and Technology, Vol.10, No. 2 (2020), pp. 01-14  
Analysis of in-vessel accident progression in VVER1000 NPP  
during SBO accident with external reactor vessel cooling method  
Doan Manh Long1, Nguyen Van Thai2, Tran Chi Thanh3  
1) Nuclear Training Center, 140 Nguyen Tuan, Thanh Xuan, Hanoi  
2) Department of Nuclear Engineering and Environmental Physics, School of Engineering Physics,  
Hanoi University of Science and Technology, 01 Dai Co Viet, Hai Ba Trung, Hanoi  
3) Viet Nam Atomic Energy Institute, 59 Ly Thuong Kiet, Hoan Kiem, Hanoi  
Email(1): doanmanhlong@vinatom.gov.vn  
(Received 20 February 2020, accepted 08 May 2020)  
Abstract: In this study, the MELCOR v1.8.6 code was utilized to perform an analysis of the in-vessel  
accident progression in VVER1000 reactor during the Station Black-Out (SBO) accident with and  
without external reactor vessel cooling (ERVC) strategy. The analysis presented the predictions of the  
main phenomena during the accident such as failure of fuel cladding, collapse of lower core support  
plate, relocation of core debris to lower plenum and mass of debris components in lower plenum, and  
provided comparisons between two cases in term of main parameters such as integrity time of reactor  
and structure components of molten pool. These parameters are very important inputs for further  
research on the application of external vessel cooling strategy for VVER1000 reactor.  
Keywords: External Reactor Vessel Cooling, SBO, VVER1000, In-Vessel Melt Retention, Severe Accident.  
such as RELAP5/SCDAP and MELCOR code,  
in order to evaluate the thermal response of  
lower head wall under heat load from molten  
pool. The RELAP5/SCDAP was used to  
provide bounding conditions including mass  
of molten debris and its components,  
temperature, and decay heat deposited in  
molten debris in an extensive series of severe  
accident calculations for AP1000 [4] and  
APR1400 [5]. And the MELCOR code was  
applied to analyze the in-vessel accident and  
the capability of IVR strategy for a large scale  
pressurized water reactor [12].  
I. INTRODUCTION  
The external reactor vessel cooling  
strategy through submerging reactor vessel into  
water has been well known as a novel severe  
accident management strategy with the aim at  
preventing lower head vessel from failure in  
case of core melt accident, called the In-Vessel  
melt Retention (IVR) strategy. This strategy  
has been successfully adopted as severe  
accident management strategy for low power  
reactors such as VVER440 [1, 2] and AP600  
[3]. Subsequently, the strategy has become a  
crucial research issue in severe accident  
management strategy for high power reactors  
as AP1000 [4], APR1400 [5] and HPR1000 [6].  
Recently, the preliminarily studies on  
the feasibility of the IVR strategy for  
VVER1000 reactor have been analyzed  
through benchmark calculations under a very  
conservative scenario of Large Break Loss of  
Coolant Accident (LBLOCA) by using  
different severe accident codes as MELCOR,  
ASTEC, PROCOR and MAAP [13]. The  
Right from the first, the severe accident  
codes have greatly contributed to analysis of  
IVR strategy. Since the analytical methods [7,  
8] and numerical methods [9, 10, 11] require  
initial bounding conditions which mostly  
provided by severe accident analysis codes  
ANALYSIS OF IN-  
results of the benchmark calculations have  
confirmed that the IVR strategy could prevent  
VVER1000 lower head vessel from failure and  
provided bounding conditions for stand-alone  
calculations by using computational codes.  
Although, the benchmark calculations also  
showed that the large discrepancies were found  
in the predicted mass components of debris bed  
and heat flux distribution on the external  
surface of lower head wall in different codes,  
the results provided a bunch of necessary data  
in order to specify a range of bounding  
conditions for IVR analysis in case of  
LBLOCA scenario for VVER1000 reactor.  
The study provided predictions on the key  
parameters for further studies on IVR  
application for VVER1000 reactor, such as:  
the timing of main events as collapse of  
fuel cladding and lower core support plate;  
relocation of core debris and mass of debris  
components into lower plenum; and the  
decay heat deposited in debris bed as well.  
II. MELCOR INPUT  
FOR VVER1000 REACTOR  
The MELCOR v1.8.6 code [15] is a  
recent version of MELCOR code with taking  
full of advanced features which have been  
capability of simulating a broad spectrum of  
severe accident phenomena in light water  
nuclear power plants such as thermal hydraulic  
response of the reactor coolant system; core  
heat-up, degradation and relocation; hydrogen  
production, transport, and combustion; fission  
product release and transport behavior. The  
MELCOR v1.8.6 code has an improvement in  
modeling formation of molten pool in lower  
plenum and thermal-interaction of lower head  
wall and molten pool. These features enable the  
version to apply for studying the IVR strategy.  
The IVR strategy adopted for  
VVER1000 reactor was also analyzed through  
the Station Black-Out (SBO) accident by using  
ASTEC code and ANSYS Fluent [14] which  
showed the external vessel cooling was  
capability for the stabilization of the vessel and  
the retention of the molten corium inside  
VVER1000 vessel. However, the study did not  
provide in details the mass of debris  
components which relocated to lower plenum  
and presented decay heat power in debris bed  
clearly, which would not benefit for further  
studying on heat load imposing to lower head  
vessel by using numerical and analytical  
methods. In addition, the results obtained from  
one code are not enough for studying IVR  
application for VVER1000 reactor during SBO  
accident, there need additional number of  
studies by other codes in order to contribute  
additional data for specifying the range of  
bounding conditions.  
The VVER1000 reactor is a Russian  
pressurized water reactor which produces  
3000MW thermal power and 1000MW  
electrical power. It comprises of four cooling  
circulation loops. Each loop has a main coolant  
pump, hot leg, cold leg and horizontal steam  
generator (SG). The pressurizer (PRZ) is  
connected to hot leg of the fourth loop and the  
spray lines of pressurizer are connected to cold  
leg of the first loop, and safety valves and  
relief valves are mounted on the top of PRZ.  
The reactor core consists of 163 hexahedral  
fuel assemblies and 61 control rod clusters.  
Each assembly comprises 312 fuel rods and 18  
control rod tubes.  
In the present study, an analysis of  
in-vessel accident progression during SBO  
accident combined with externally vessel  
cooling for VVER1000 reactor was  
performed by using MELCOR v1.8.6 code.  
2
DOAN MANH LONG et al.  
Fig. 1. A MELCOR nodalization scheme for thermal hydraulics volumes  
The VVER1000 reactor was input into  
relief tank were also modeled. Secondary  
part of steam generator was modeled as a  
control volume. The passive core cooling  
system, comprising of four Hydro-  
ACCumulators (HACCs), was also included.  
MELCOR code through a nodalization step.  
Fig.1 displays a nodes scheme for thermal  
hydraulics volumes of reactor vessel and a  
circulation loop including the pressurizer  
systems. The internal volume of reactor  
vessel consists of lower plenum, reactor  
core, downcomer, upper plenum and upper  
head which were assigned numerical  
identifiers as CV100, CV101, CV102,  
CV103 and CV104 respectively. In an  
individual circulation loop, the hot leg was  
divided into two control volumes (CV110  
and CV111) and cold leg was divided into  
three control volumes (CV130, CV131 and  
CV132); heat exchanger tubes inside steam  
generators were divided into five groups  
which were split into hot part (HP) with red  
boundary and cold part (CP) with blue  
boundary; hot collector and cold collector  
were modeled as two control volumes;  
pressurizer systems including a surge line,  
pressurizer, safety and relief valves; and  
Fig. 2. A nodalization scheme for structures in  
reactor core, lower plenum and downcomer  
3
ANALYSIS OF IN-  
Fig. 3. A node model for lower head wall  
Fig. 2 demonstrates the nodalization  
scheme of structures in reactor core, lower  
plenum and downcomer which were divided  
into six radically concentric rings and twelve  
vertically levels. The lower head wall was  
divided into nine segments and each segment  
was sliced into six thickness-equaling layers, is  
presented in Fig. 3.  
(2)  
Where is the effective stress (Pa) and  
calculated as:  
(3)  
W
across the lower head;  
and  
are the  
II. FAILURE MODEL OF LOWER HEAD  
density and the depth of the debris in lower  
plenum; g is gravitational acceleration; and  
are the inner vessel radius and outer radius  
of load-bearing vessel.  
In this calculation, the Larson-Miller  
creep rupture model in MELCOR code [15]  
was used to evaluate failure of lower head  
vessel. The model evaluates cumulative  
damage in lower head wall following time in  
response to mechanical loading at elevated  
temperatures based on the Larson-Miller  
parameter and a life-fraction rule.  
The life-fraction rule gives the  
cumulative damage, expressed as plastic strain,  
, as:  
(4)  
The Larson-Miller creep-rupture failure  
model gives the time to rupture, , in seconds, as:  
Due to the division of , the plastic  
strain expressed in Eq.4 is a dimensionless  
value. And following the rule of the model,  
the failure of lower head vessel was declared  
(1)  
Where T is the temperature of segment,  
and  
is the Larson-Miller parameter that is  
when the value of  
0.18 [15].  
reaches to the value of  
given as:  
4
DOAN MANH LONG et al.  
generator and batteries except batteries for  
III. INITIAL CONDITIONS  
AND SCENARIOS  
BRU-A valves of SGs. The total SBO caused  
failure of all active safety systems including  
Emergency Feed Water systems. The  
additional assumptions of the scenario were  
made as follows:  
Before initiation of the accident, the  
VVER1000 reactor was assumed to be  
operating at steady state condition with full  
thermal power. The steady state was simulated  
in MELCOR code and the key parameters are  
compared to design values in Table I. The  
steady state parameters obtained from  
MELCOR simulation were mostly in  
oscillating limitation of design values, except  
the value of maximum coolant temperature at  
reactor inlet was little higher. Although, there  
were not oscillating limitations for mass flow  
rate through reactor core and steam mass flow  
rate at steam generator outlet, the values  
obtained from MELCOR were close to these  
design values. Generally, the steady state  
conditions obtained from MELCOR are in  
good agreement with the design values.  
Pressure of PRZ was controlled by  
relief valves and safety valves with  
characteristics in Table II;  
There was not taken into account main  
coolant pumps seal leakages;  
Pressure of SGs was controlled by  
BRU-A valves to maintain pressure in SGs  
below 6.7MPa;  
Four Hydro-ACCumulators (ACCs)  
were available;  
The depressurization for reactor vessel  
by opening safety valves on top of PRZ and  
cavity flooding strategy were triggered when  
temperature of steam in reactor core exceeded  
650oC based on Accident Management  
Measures (AMM) [14].  
The total Station Black-Out accident  
was initiated at zero second due to loss of  
offsite and onsite power including diesel  
Table I. Comparison of parameters at steady state condition  
Parameters  
MELCOR value  
Design value  
3000+210  
15.7±0.3  
559.15±2.0  
593.15±3.5  
17 611  
Core power (MW)  
3100  
15.6  
567  
Primary pressure (MPa)  
Maximum coolant temperature at reactor inlet (K)  
Average coolant temperature at reactor outlet (K)  
Mass flow rate through reactor core (kg/s)  
Pressure in steam generator (MPa)  
Steam mass flow rate at steam generator outlet (kg/s)  
596  
17650  
6.29  
420  
6.28±0.2  
437  
Table II. The characteristics of the pressurizer relief and safety valves  
Name  
Characteristics  
Design value  
16.00  
MELCOR value  
16.00  
Relief valves  
Opening pressure (MPa)  
Closing pressure (MPa)  
Opening pressure (MPa)  
Closing pressure (MPa)  
Opening pressure (MPa)  
Closing pressure (MPa)  
15.70  
15.70  
Safety valves  
Stage 1  
18.11  
18.11  
16.67  
16.67  
Safety valves Stage  
2, 3  
18.60  
18.60  
17.07  
17.07  
5
ANALYSIS OF IN-  
pressure was maintained at safety threshold  
below 20 MPa (Fig. 4).  
III. RESULTS AND DISCUSSION  
A. The base case without ERVC  
Since the decay heat kept on generating,  
together with leakage through the opening of  
relief valves, the water volume inside reactor  
vessel constantly decreased. Fig. 6 displaying  
volume of water in reactor core and lower  
plenum points out the uncovery of reactor core  
started at 2300 seconds and the reactor core  
was totally uncovered at 4100 seconds, the  
lower plenum even ran out of water before  
reactor core at 3800 seconds.  
The SBO accident was initiated at 0  
second when the VVER1000 reactor was  
operating at full power capacity. Because of  
total loss of onsite and offsite power systems,  
the active safety systems were entirely  
neutralized. The passive safety system, which  
consists of four hydro-accumulators (HACCs),  
was available and only initiated when pressure  
in primary loop decreased to below 5.8 MPa.  
The main events of the accident are presented  
in Table III.  
The pressure of primary loop sharply  
dropped because of a sudden reduction of  
thermal power to decay heat power (Fig. 4). At  
early phase, the decay heat was removed via  
steam generators through dump valves.  
Afterward, the steam generators nearly dried  
out at 1000 seconds (Fig. 5), the pressure of  
primary loop drastically increased (Fig. 4). The  
primary pressure was controlled by relief and  
safety valves with the opening and closing set  
point listed in Table II. Therefore, the primary  
Fig. 4. Pressure of primary loop  
Table III. Main events of in-vessel accident progression  
Main events  
Time  
(second)  
Initiation of accident  
0.0  
Reactor tripped  
1.6  
Begin of core uncovery  
Total core uncovery  
2300  
4100  
9727  
9910  
9990  
10000  
10300  
10846  
Initiation of primary depressurization  
Begin of water injection from HACCs  
Stop of HACCs injection  
Start of oxidation  
Start of fuel cladding failure  
Failure of lower core plate  
Failure of lower head vessel (CREEP-RUPTURE)  
21938s  
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DOAN MANH LONG et al.  
The temperature of vapor in reactor core  
oxidations. Only after the depressurization and  
the water injection from HACCs brought a  
beneficial condition for structural oxidations,  
and the oxidations were predicted to happen at  
10000 seconds. Fig. 8 presents mass of  
hydrogen which was generated from oxidations  
of steel and zircaloy, and total mass of  
generated hydrogen was 372 kg.  
over 650oC was predicted at 9727 seconds  
which triggered the opening of relief and safety  
valves on the top of PRZ to depressurize  
primary loop. The depressurization created the  
sharp drop of pressure in the primary loop at  
9727 seconds (Fig. 4), and the pressure  
dropped below 5.8 MPa at 9910 seconds which  
initiated the water injection from four hydro-  
accumulators. The water supply from HACCs  
was stopped when their water volumes reduced  
below 6 m3 in order to prevent noble gases  
from being transported into reactor vessel. The  
result showed the water volume in HACCs  
dropped below 6 m3 at 9990 seconds (Fig. 7),  
hence the water supply from HACCs only  
lasted 80 seconds. The additional water from  
four HACCs only helped the reactor core  
recovering in a very short time (Fig. 6).  
Afterward, the volume of water in reactor  
vessel quickly decreased and the reactor core  
was uncovery again at 12300 seconds (Fig. 6).  
And due to the evaporation of additional water,  
the pressure of primary loop slightly increased  
(Fig. 4).  
The occurrence of oxidations boosted  
the reactor core heating. The temperature of  
fuel claddings in ring 1 are displayed in Fig. 9  
which shows the temperature of fuel claddings  
from level 7 to 11 rapidly increased right after  
the happening of oxidations, even at this time  
the reactor core was submerged by additional  
water. The failure of fuel claddings occurred  
at 10300 seconds.  
Fig. 6. Volume of water in reactor core  
and lower plenum  
The failure of fuel claddings marked the  
collapse of reactor core and created debris  
containing heat source. The core debris  
relocated to the bottom of the reactor core area  
and imposed thermal load on lower core  
support plate. The simulation showed the  
failure of lower core support plate occurred at  
10846 seconds, only 846 seconds (14 minutes)  
and 546 seconds (9 minutes) after the  
depressurization and failure of fuel cladding  
Fig. 5. Water volume of SGs  
Before the initiation of depressurization,  
the high pressure condition in primary loop did  
not provide good condition for structural  
7
ANALYSIS OF IN-  
respectively. The failure of lower core plate  
triggered massive relocation of core debris to  
lower plenum. Fig. 10 presents evolution of  
mass of core debris in lower plenum.  
At 10864 seconds, the time of core  
debris relocation to lower plenum, water  
volume in lower plenum was about 4 m3  
(Fig. 6). Under the massive amount of hot  
debris, the remaining water in lower plenum  
was quickly boiled off, and the area ran out  
of water again at 11000 seconds.  
Fig. 7. Volume water of HACCs  
Fig. 10. Mass of debris components  
in lower plenum  
Fig. 8. Mass of generated hydrogen  
Fig. 11. The average temperature of 9 segments  
Because there were none of any cooling  
measures from internal and external reactor  
vessel, the decay heat generated in debris  
directly imposed to lower head vessel. Fig. 11  
demonstrating the average temperatures of 9  
segments shows the average temperatures of  
the segments slightly decreased after the  
depressurization, they, however, started to  
Fig. 9. Temperature of fuel claddings in ring 1  
8
DOAN MANH LONG et al.  
increase right after appearance of core debris in  
lower plenum. Generally, the first five  
segments were imposed thermal load more  
than others which led to higher evolution of  
their temperatures compared to others. Since  
20000 seconds, temperatures of the first five  
segments were over 1000oK which initiated the  
thermal strain of the lower head vessel at the  
segments. The evolutions of thermal strain  
fraction at 9 segments are displayed in Fig. 12.  
Among the first five segments, the 3rd segment  
seemed to be imposed the highest heat hence  
its temperature was the strongest increase. Due  
to experience of the highest thermal load, the  
evolution of elastic strain of the 3rd segment  
was the sharpest increase and reached to the  
value of 0.18 at 21938 seconds (6 hours) since  
initiation of the accident, marked the failure of  
lower head vessel.  
Fig. 10 indicates the relocation of core  
fuels started from 10864 seconds and stopped  
at 15000 seconds, and together with other  
components such as ZrO2, Zr and oxides of  
steel was stable after 15000 seconds.  
Meanwhile, the evolution of steel debris kept  
on going due to the collapse of supporting  
structure in lower plenum and stabilized after  
20000 seconds. The results showed all core  
fuels relocated to lower plenum and according  
to time relocation of core fuels the decay heat  
power deposited in debris bed with elimination  
of decay power of volatile gases varied from  
32 MW to 29 MW. At the time of lower head  
failure, also end of simulation time, total mass  
of debris components, predicted by MELCOR  
v1.8.6, are listed in Table IV.  
A code-to-code comparison for the main  
events of in-vessel accident progress between  
MELCOR code in this work and ASTEC in [14]  
was presented in Table V. The comparison  
shows the considerable differences of results  
obtained in both codes. The prediction of  
ASTEC on relocation of core melt to lower  
plenum was at 9705 seconds which is 1141  
seconds earlier than MELCOR prediction  
which was at 10846 seconds. As a result, the  
failure of lower head vessel predicted by  
ASTEC was at 20886 seconds which is 1052  
seconds earlier that MELCOR prediction  
which was at 21938 seconds. However,  
MELCOR results predicted a larger mass of  
corium in lower plenum than ASTEC results  
which were 131 tons and 73.3 tons respectively.  
Fig. 12. Elastic strain of 9 segments  
Table IV. Mass of debris in lower plenum  
The differences in the time of main  
events were caused by considerable differences  
in calculation models in two codes. Besides the  
reactor trip assumption of ASTEC also  
contributed to differences in predictions when  
it was assumed to happen at the same time with  
initiation of SBO accident which is unrealistic.  
Mass (kg)  
80600  
18150  
8800  
Debris  
UO2  
Zr  
ZrO2  
Steel  
31000  
2750  
Oxide of steel  
9
ANALYSIS OF IN-  
In addition, the difference in model of core  
debris relocation to lower plenum caused a  
significant difference in prediction of mass of  
UO2 relocating to lower plenum. In MELCOR  
code, the relocation of core debris was  
triggered when the lower core support plate  
was failed by both mechanical and thermal  
load, and when the lower core support plate in  
a ring failed and lost capability of supporting,  
its entire structure and all material resting on it  
would totally collapse and relocate to lower  
plenum. Meanwhile, ASTEC code [16] did not  
predict the mechanical failure of the lower core  
support plate but only its thermal failure, and  
the core debris only relocated to lower plenum  
by melting the plate and crossing through the  
plate hole to lower plenum. In this case,  
results of MELCOR simulation showed the  
lower core support plate in five rings  
completely collapsed, therefore all core fuel  
relocated to lower plenum. In case of ASTEC,  
the mass of core debris relocating to lower  
plenum depended on the size of the hole in the  
plate hence somehow the size was not large  
enough for all core fuel relocating to lower  
plenum in this scenario.  
Table V. MELCOR and ASTEC main events  
Time (second)  
MELCOR ASTEC  
Main events  
Initiation of accident  
0.0  
1.6  
0.0  
0.0  
Reactor tripped  
Opening of steam-dump to atmosphere valves (BRU- A)  
Begin of core uncovery  
8.0  
45.0  
-
2300  
4000  
4100  
8000  
8000  
9727  
9910  
9990  
10846  
21938  
131  
Heating up of the core  
8767  
-
Total core uncovery  
Steam dry-out  
3800.0  
7200  
10341  
10514  
17545  
9705  
20886  
73.33  
Closing of BRU-A valves  
Initiation of primary depressurization  
Begin of water injection from HACCs  
Stop of HACCs injection  
First material slump in lower plenum  
Failure of lower head vessel (CREEP-RUPTURE)  
Total mass of corium in lower head (tons)  
of cold leg. Until now, there has not been  
official design of ERVC for VVER1000  
reactor. Therefore, the study proposed a  
simplified scheme of ERVC strategy for  
VVER1000 reactor which included a cooling  
channel formed by reactor vessel and a frame  
structure, and an unlimited water resource.  
Fig. 13 demonstrated a nodalizational scheme  
of the ERVC in MELCOR code.  
B. Deployment of IVR strategy with ERVC  
In this study, the external vessel cooling  
strategy was adopted in order to cool down  
the hot debris from external surface of the  
VVER1000 lower head vessel by injecting  
water into the cavity. The water injection was  
initiated when the vapor temperature in  
reactor core exceeded 650oC. The water level  
in reactor cavity was maintained at the height  
10  
DOAN MANH LONG et al.  
The SBO accident was re-simulated with  
deployment of ERVC strategy. The results  
showed the performance of ERVC strategy did  
not affect the in-core accident progress. The  
evolution of the accident remained the same as  
the scenario without implementing ERVC  
strategy. A comparison of main events between  
two SBO scenarios with and without deploying  
IVR strategy is presented in Table VI.  
The initiation of ERVC strategy was  
simultaneously happened at 9727 seconds with  
the primary depressurization when vapor  
temperature in reactor core exceeded 650oC.  
Fig. 14 demonstrated water level in reactor  
cavity and the water level reached the height of  
cold leg at 12500 seconds, then it was  
maintained at the level. Figs. 15-17 displayed  
the temperature of 9 segments of VVER1000  
lower head wall in two both scenarios. The  
solid lines and the dash lines present the results  
of the scenario without ERVC strategy and  
with ERVC strategy respectively. The figures  
indicate the decrease of temperature of lower  
head walls in both cases happened right after  
the initiation of depressurization at 9727  
seconds. However, in case of implementing  
ERVC (dash line) the temperature of lower  
head at 9 segments decreased deeper.  
Fig. 13. A nodalization for external reactor vessel  
cooling strategy  
Fig. 14. Water level in cooling channel and cavity  
Table VI. Main events of in-vessel accident progression  
Time (seconds)  
Main events  
With IVR  
Without IVR  
0.0  
Initiation of accident  
0.0  
Reactor tripped  
1.6  
1.6  
Begin of core uncovery  
Total core uncovery  
2300  
4100  
9727  
9727  
9910  
9990  
10000  
10300  
10846  
27341  
2300  
4100  
9727  
9727  
9910  
9990  
10000  
10300  
10846  
21938  
Initiation of primary depressurization  
Start of cavity flooding  
Begin of water injection from HACCs  
Stop of HACCs injection  
Start of oxidation  
Start of fuel cladding failure  
Failure of lower core plate  
Failure of lower head vessel (CREEP-RUPTURE)  
11  
ANALYSIS OF IN-  
However, Fig. 15 indicates the  
temperature of segments 1-3 increased beyond  
1000oK, among them the temperature of  
segments 1 and 3 were beyond 1000oK at  
24000 and 26000 seconds respectively which  
caused the occurrence of thermal strain of the  
segments. Fig. 18 displayed the evolution of  
thermal strain fraction of all segments. The  
results show the thermal strain of lower head at  
segment 1 reached the value of 0.18 at 27341  
seconds which marked the failure of  
VVER1000 lower head reactor vessel.  
Fig. 15. Temperature of segments 1-3  
Fig. 15 and Fig. 16 indicate the  
temperature at segments 1-6 started to increase  
at 15000 seconds, and it strongly increased at  
17000 seconds. Meanwhile, Fig. 17 shows the  
temperature of lower head wall at segments 7-9  
was efficiently cooled and kept at low  
temperature below 600oC. Together with the  
increase of temperature of segments 1-6, the  
heat transfer between lower head vessel and  
water drastically increased as well, which  
caused the vibration of water level in cooling  
channel (Fig. 14). Fig. 16 shows the temperature  
of segments 4-6 was kept under 1000oK (727oC).  
Fig. 17. Evolution of temperature of segments 7-9  
Fig. 16. Evolution of temperature of segments 4-6  
Fig. 18. Evolution of thermal strain of segments  
12  
DOAN MANH LONG et al.  
occurrence of failure at low position when the  
IV. CONCLUDING REMARKS  
critical heat fluxes at the low positions were  
low as seen in results of ULPU [7]. The  
results of the study also showed the failure of  
VVER1000 lower head vessel happened at  
low positions, therefore, it is necessary to  
optimize geometry of cooling channel for  
VVER1000 reactor;  
In this paper, the in-vessel accident  
progress during the Station Black-Out (SBO)  
accident combined with externally vessel  
cooling was analyzed for VVER1000 reactor  
by using MELCOR v.1.8.6 code. Some  
conclusions were given as following:  
Under SBO accident, only water  
from four hydro-accumulators could not  
prevent the collapse of reactor core and  
relocation of core debris to lower plenum. The  
collapse of reactor core marked by failure of  
fuel cladding was occurred at 10300 seconds  
(2.86 hours), the appearance of first core debris  
in lower plenum was at 10846 seconds (3.01  
hours), and all core fuels relocated to lower  
plenum at 15000 seconds (4.2 hours). The  
decay heat power deposited in debris bed  
locating in lower plenum was estimated from  
32 to 29 MW with taking the elimination of  
decay power of volatile gases into  
consideration. All the outcomes would be  
significant information for further study on  
thermal behavior of debris bed/molten pool in  
lower plenum and thermal response of  
VVER1000 lower head vessel as well;  
In addition, the comparison on the  
main phenomena during accident progress  
between MELCOR and ASTEC suggested it is  
necessary to take further investigation on in-  
vessel accident progression in case of SBO  
accident by other severe accident codes in  
order to set up a range of key parameters for  
the bounding configuration of molten pool in  
VVER1000 lower plenum and specify decay  
heat power deposited molten pool as well.  
ABBREVIATIONS  
AMM  
Accident Management Measures  
BRU-A  
A kind of atmospheric dump  
valves of steam generators  
CC  
Cold Collector  
Cold Leg  
CL  
CP  
Cold Part  
In  
the  
base  
case  
without  
CV  
Control Volume  
External Reactor Vessel Cooling  
Hydro-ACCumulators  
Hot Collector  
implementing IVR strategy, the VVER1000  
lower head vessel was failed at 21938 seconds  
(6.09 hours) due to thermal creep-rupture.  
Meanwhile, in the case of IVR strategy  
deployment, the results indicated the strategy  
could not prevent VVER1000 lower head  
vessel from failure caused by thermal creep-  
rupture and only prolonged the existence of  
VVER1000 lower head vessel for 5437  
seconds (1.5 hours) compared to the base case;  
ERVC  
HACCs  
HC  
HL  
Hot Leg  
HP  
Hot Part  
IVR  
In-Vessel melt Retention  
LBLOCA Large Break Lost of Coolant  
Accident  
LP  
Lower Plenum  
MSH  
NPP  
Main Steam Header  
Nuclear Power Plant  
The flat shape of VVER1000 lower  
head vessel also raises a concern about the  
13  
ANALYSIS OF IN-  
[8]. Esmaili, H., et al. An Assessment of Ex-  
Vessel Steam Explosions in the AP600  
Advanced Pressurized Water Reactor , Energy  
Research, Inc., ERI/NRC 95-211, 1996.  
PORV  
PRZ  
SBO  
SG  
Pilot-Operated Relief Valve  
PRessuriZer  
Station Black-Out  
Steam Generator  
Steam Line  
[9]. Bui and Dinh. Modeling of heat transfer in  
heated-generating liquid pools by an effective  
SL  
diffusivity-convectivity  
approach ,  
In:  
UP  
Upper Plenum  
Proceedings of 2nd European Thermal-Sciences  
ACKNOWLEDGEMENT  
Conference, Rome, Italy, pp. 1365 1372, 1992.  
[10].Tran, C.T., and Dinh, T.N. The effective  
convectivity model for simulations of melt  
pool heat transfer in a light water reactor  
pressure vessel lower head . Part I&II.  
Progress in Nuclear Energy 51, 849 871, 2009.  
The authors are grateful for financial  
funding of Ministry of Science and Technology  
and Vietnam Atomic Energy Institute. This  
work was performed under ministerial project  
on  
[11].Dombrovskii, L.A., et al.  
Numerical  
05/01/2018.  
Simulation of the Stratified-Corium  
REFERENCES  
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[15].Sandia National Laboratories, MELCOR  
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14  
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