pipe break accident analysis of stella-2 using mars-lmr
TRANSCRIPT
Pipe Break Accident Analysis of STELLA-2 using MARS-LMR
Jewhan LEE, Yong-Bum LEE
Korea Atomic Energy Research Institute, 989-111Dadeok-daero, Yuseong-gu, Daejeon, Korea *Corresponding author: [email protected]
1. Introduction
One of the Design Basis Events(DBE) of pool-type
Sodium-cooled Fast Reactor (SFR) is “Pipe Break” and
it is more precisely the primary pump discharge pipe
connected to the inlet plenum where the core inlet starts.
Unlike the LWR flow piping, the system is under
atmospheric pressure and thus there is very little chance
of guillotine break. However, for conservatism, the
safety analysis assumes the total break of the discharge
pipe and the coolant flows out to the cold pool.
In the case of pipe break accident, the appropriate flow
path for natural circulation inside the pool cannot be set
and due to leakage point and eventually the coolant
flow rate cannot be developed enough to remove the
core decay heat. Therefore, it must be addressed during
the safety analysis with the consideration of various
conditions.
In Korea Atomic Energy Research Institute (KAERI),
there is a large-scale integral effect test facility to
support the SFR development, namely the STELLA-2
facility established under the Sodium Integral Effect
Test Loop for Safety Simulation and Assessment
(STELLA) program[1] and it is capable of simulating
the Pipe Break Accident. The facility has a dedicated
sub-system consisting of a very special valve and flow
path to simulate the Pipe Break.
In this study, various transient behavior under pipe
break events with diverse decay heat removing
combinations were analyzed using MARS-LMR. The
scope of this analysis bounds within the preliminary
code calculation results. The comparison with the
experiment data and verification will be continued next
year.
2. STELLA-2 Facility
The STELLA-2 is a down-scaled test facility to verify
the performance of DHRS of the reference reactor. At
the same time, the experiment database is used for
V&V of safety analysis code[2,3].
The STELLA-2 includes all the major components of
the reference reactor except the nuclear fuel core, the
steam generator, and the mechanical pump. Instead, the
electric core simulator[4], the straight tube-type sodium
to air heat exchanger and the EMP replaces each
component. In the STELLA-2, there are four lines of
DHRS. Two loops are for the passive heat exchanger
and the other two loops are for the active heat
exchanger. All four heat exchangers are of same
capacity.
The facility was designed to conserve the characteristic
and transient behavior of the reference reactor and it
was evaluated at several stages using various means
and tools including CFD and system code.
Fig. 1 STELLA-2 Facility Layout
Fig. 2 STELLA-2 Installation and Control System
3. MARS-LMR Analysis
3.1 Pipe Break Accident
The various conditions for the pipe break events are
listed in Table 1 for STELLA-2 facility. Based on this
test matrix the experiments are going to be conducted
and will be compared with the preliminary analysis
result.
For the MARS-LMR analysis, the event progress with
time is as follows.
1. Pipe break valve open: 4.47s
2. Pump trip: 4.47s
3. UHX blower off: 4.47s
4. Rx trip: 5.81s
5. DHRS starts to operate: 8.26s
Transactions of the Korean Nuclear Society Virtual Autumn Meeting
October 21-22, 2021
6. (1) 1 PDHRS + 1 ADHRS working
(2) 2 PDHRS + 2 ADHRS working
(3) 1 PDHRS + 2 ADHRS working
(4) 2 PDHRS + 1 ADHRS working
The time is set to satisfy the time scale ratio between
the reference reactor and the STELLA-2. Therefore, the
assumption of the event start time in real scale is 10sec
and this corresponds to 4.47sec in STELLA-2.
Table 1 STELLA-2 Pipe Break Test Matrix
PHTS
Pump
Discharge
Pipe Break
- Rx Trip
- with LOOP
- 1 line Break
- IHTS Na is not
considered
- PHTS pump 1&2 stops
- Break Simulation Valve On
- IHTS pump 1&2 stops
- DHRS working condition:
· 2 passive + 2 active
- Rx Trip
- with LOOP
- 1 line Break
- IHTS Na is
considered
- IHTS sodium inventory
consideration:
· SG F/W drayout simulation
using UHX blower
PHTS
Pump
Discharge
Pipe Break
+ DHRS 1
loop fail
- Rx Trip
- with LOOP
- 1 line Break
- IHTS Na is not
considered
- PHTS pump 1&2 stops
- Break Simulation Valve On
- IHTS pump 1&2 stops
- DHRS working condition:
· 2 passive + 1 active
· 1 passive + 2 active
- Rx Trip
- with LOOP
- 1 line Break
- IHTS Na is
considered
- IHTS sodium inventory
consideration:
· SG F/W drayout simulation
using UHX blower
PHTS
Pump
Discharge
Pipe Break
+ DHRS 2
loops fail
- Rx Trip
- with LOOP
- 1 line Break
- IHTS Na is not
considered
- PHTS pump 1&2 stops
- Break Simulation Valve On
- IHTS pump 1&2 stops
- DHRS working condition:
· 2 passive
· 2 active
· 1 passive + 1 active
- Rx Trip
- with LOOP
- 1 line Break
- IHTS Na is
considered
- IHTS sodium inventory
consideration:
· SG F/W drayout simulation
using UHX blower
3.2 Node layout and Assumptions
The node layout is shown in Fig. 3. Based on the heat
balance of the reference reactor design, the steady-state
point was set to match the temperature distribution
inside the pool and the transient started with the
opening of the valve. The primary and intermediate
loop pumps stop and the core heater starts to follow the
decay heat curve.
Fig. 3 Node Diagram
4. Results and Discussion
The representative case result of 1 passive + 1 active
DHRS working condition is described as follows. This
case is selected because this condition is the least heat
removing condition and is the worst case for the core.
The other cases are not included in this paper for it
showed similar trend with small difference in heat
removing capacity.
The pipe break occurs at the Pump Discharge line 4 and
connects to the cold pool directly. The calculation time
of analysis was upto 10,000 seconds.
4.1 Flowrate Trend
PHTS Pump Inlet 1: 1.25kg/s (0.0s) → 0.053kg/s
(200s, min flowrate at early stage) → 0.097kg/s
(540s, max flowrate at early stage) → continuous
decrease → small back flow starts at 890s →
1,380s flow recovers direction and increase →
0.29kg/s(3,190s, max flowrate and decrease) →
0.1kg/s(10,000s)
PHTS Pump Inlet 2: 1.25kg/s (0.0s) → 0.043kg/s
(190s, min flowrate at early stage) → 0.085kg/s
(550s, max flowrate at early stage) → continuous
decrease → small back flow starts at 880s →
1,280s flow recovers direction and increase →
0.29kg/s(3,160s, max flowrate and decrease) →
0.1kg/s(10,000s)
Pump Discharge 1&2: the trend is same as the
PHTS Pump Inlet 1 at the same timeline
Pump Discharge 3: most of sodium back flow from
Discharge line 4 goes through Discharge line 3 and
to the Inlet Plenum(Core Inlet). The trend is
symmetrical to Discharge line 4 (opposite direction
and same flowrate).
Pump Discharge 4: flowrate decreases rapidly after
19s → back flow from cold pool to inlet plenum
starts at 23s → -0.64kg/s (44s max back flowrate
at early stage) → -0.45kg/s (320s, min back
flowrate at early stage) → -0.68kg/s (max back
flowrate) → 1,890s flow recovers direction →
0.11kg/s (3,180s, max flowrate) → 0.00023kg/s
(10,000s)
190
02
01
100
02
01
100
06
05
04
03
02
100
01
03
05
01
02
09
0317
01
03
193
170
926
01
153
913
944
933
925
948
945
DHX
202
208
IHX
242
02183
01
01
04
06
07
02
03
06
06
946
562
570
Cold Leg - 540
Hot Leg - 526
590
586
592
AHX
248
282
288
280
273
291
01
404
412
UHX
Pump
Cold Leg - 750
Hot Leg - 726
292
294
Hot Leg - 275
Cold Leg - 290
FHX
04
05
01
02
03
100
04
05
05
05
924
105105
01
12
11
01
02
03
04
105
01
02
03
02
01
02
01
180
01
02
03
187
175 180
01
02
03
04
05
06
07
08
09
10
11
12
13
14
15
16
17
18
19
20
510
716
01
09
10
11
12
13
14
15
1617
18
19
20
11
10
09
08
07
06
05
04
03
02
01
11
10
09
08
07
105
02
01
03
04
02
111
01
02
03
06
04
05
01
02
100
04
05
105
010203040506070809101112131415161718192021
204
212019181716151413121110090807060504030201
244
01
02
03
04
05
06
01
02
03
04
05
06
07
08
09
10
11
240
01
109
01
02
03
04
05
06
07
08
09
10
11
12
13
14
15
16
17
18
19
20
20
19
18
17
16
15
14
13
12
11
10
09
08
07
06
05
04
03
0201
588
01
02
03
04
05
06
07
08
09
10
11
12
13
14
15
16
17
18
1920
566
01
02
04
15
14
13
12
11
10
09
06
05040201
0201
0102030405
594
0201
917
920Pump
081112131415 0910
07
06
05
04
16
15
14
13
12
11
08
07
0605040302
01
04 730
01
0302
778 792
23
22
21
.
.
.
.
.
.
03
0201
01
02
03
.
.
.
.
.
.
21
2223
0102776
782
0102784
02
03
01
788
789
01
02
03
04
05
06
07
08
09
10
11
010203040506
07
923
040302
01
06
07
08
923
09
10
937
940Pump
01 02 03 04 05
07
943
04 03 02
01
06
02
03
04
915
04
03
02
01
935
05
06
07
08
943
09
10
03
109
734
04
01
0302
534
794
780 790
02
01
560
564
568
02
03
04
05
081112131415 0910
07
0605
0403
0201
572
07
08
246
Sodium Expansion Tank
010203 250
270
01
05
04
06
08
07
01
02286
01
02
03
04
05
06
07
08
09
10
11
12
13
14
15
16
284
01
03
02
04
07
06
03 02
02
01
03
02
01
293
02 03
297
030201 296
29516
15
14
13
12
11
10
09
08
07
06
05
04
03
02
01
408
10
02
03
04
05
06
07
08
710
03
08
07
520
020304050607080910
160
222120
0201
03
718
0102
1920
03
06
05
04
03
02
01
720
01020304050607080910
714
702502
706
506
01
582
530
704
0102
1920
03
516
222120
0201
03
518
01020304050607080910
514504
RVCS
Transactions of the Korean Nuclear Society Virtual Autumn Meeting
October 21-22, 2021
Inlet Plenum to Cold Pool line: the trend is similar
to that of Pump Discharge line 4 but with different
flowrate.
Through Core:
flowrate decrease after 5s →
1.13kg/s (290s, min flowrate at early stage) →
1.69kg/s (640s, max flowrate) →
0.5kg/s (10,000s)
Passive DHX shell side:
sudden increase after 140s
and the max flowrate(0.38kg/s) at 250s → 0.25kg/s
(10,000s)
Active DHX shell side:
sudden increase after 110s
and the max flowrate(0.41kg/s) at 140s → 0.22kg/s
(10,000s)
AHX tube side:
starts to increase after 30s and
0.5kg/s of max flowrate at 210s → slowly
decreases and 0.37kg/s at 10,000s
FHX tube side: starts to increase after 30s and
0.51kg/s of max flowrate at 120s → slowly
decreases and 0.32kg/s at 10,000s
Fig. 4 Core and Pump Inlet Sodium Flowrate
Fig. 5 Pump Discharge Line Sodium Flowrate
Fig. 6 DHX Shell-side Sodium Flowrate
Fig. 7 AHX Tube-side Sodium Flowrate
Fig. 8 FHX Tube-side Sodium Flowrate
4.2 Temperature Trend
In early stage, the natural circulation flow through
the core develops sufficiently to decrease the core
outlet temperature → the flowrate reaches the max
at 640s and slowly decreases → the min core outlet
temperature 443℃ at 680s → temperature slowly
increases and reaches 506℃ at 10,000s
1 10 100 1000 10000
0.0
0.5
1.0
1.5
2.0
2.5
Flo
wra
te, kg
/s
Time, s
Core inlet
2 PSLS
1 10 100 1000 10000-1.0
-0.5
0.0
0.5
1.0
1.5
Flo
wra
te, kg
/s
Time, s
Discharge-1 Discharge-2
Discharge-3 Discharge-4
Discharge-5
1 10 100 1000 10000-0.1
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
Flo
wra
te, kg
/s
Time, s
DHX-1 Shell DHX-2 Shell
DHX-3 Shell DHX-4 Shell
1 10 100 1000 10000-0.1
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
Flo
wra
te, kg
/s
Time, s
AHX-1 Tube
AHX-2 Tube
1 10 100 1000 10000-0.1
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
Flo
wra
te, kg
/s
Time, s
FHX-1 Tube
FHX-2 Tube
Transactions of the Korean Nuclear Society Virtual Autumn Meeting
October 21-22, 2021
Core inlet temperature starts to increase after
3,000s and reaches 430℃ at 10,000s
AHX tube-side inlet sodium temperature maintains
497℃ upto 200s and starts to decrease to 238℃ at
10,000s. AHX tube-side outlet sodium temperature
rapidly decreases until 140s to 304℃ and then
increases to 360℃ at 290s. It reaches 165℃ at
10,000s
FHX tube-side inlet sodium temperature maintains
499℃ upto 140s and starts to decrease to 243℃ at
10,000s. FHX tube-side outlet sodium temperature
rapidly decreases until 110s to 315℃ and then
increases to 379℃ at 170s. It reaches 174℃ at
10,000s
Fig. 9 Core In/Out Sodium Temperature
Fig. 10 DHX Shell-side In/Out Sodium Temperature
Fig. 11 AHX Tube-side In/Out Sodium Temperature
Fig. 12 FHX Tube-side In/Out Sodium Temperature
4.3 Heat Removal Trend
At the end of calculation time (10,000s), the core
produces 48.4kW
PDHRS and AHX removes 35.9kW
ADHRS and FHX removes 29.0kW
Fig. 13 Core Heat Transfer Rate
1 10 100 1000 10000250
300
350
400
450
500
550
600
650
Tem
pe
ratu
re, x()
x(2
103
)x()
Time, s
Core Inlet
Core Outlet
1 10 100 1000 10000100
200
300
400
500
600
700
x()
Tem
pe
ratu
re, x()
x(2
103
)x()
x()
Time, s
DHX-1 Shell In DHX-1 Shell out
DHX-2 Shell In DHX-2 Shell out
DHX-3 Shell In DHX-3 Shell out
DHX-4 Shell In DHX-4 Shell out
1 10 100 1000 100000
100
200
300
400
500
600
700
x()
Tem
pe
ratu
re, x()
x(2
103
)x()
x()
Time, s
AHX-1 Tube In AHX-1 Tube Out
AHX-2 Tube In AHX-2 Tube Out
1 10 100 1000 100000
100
200
300
400
500
600
700
x()
Tem
pe
ratu
re, x()
x(2
103
)x()
x()
Time, s
FHX-1 Tube In FHX-1 Tube Out
FHX-2 Tube In FHX-2 Tube Out
1 10 100 1000 100000
100
200
300
400
500
He
at T
ran
sfe
r R
ate
, kW
Time, s
Core
Transactions of the Korean Nuclear Society Virtual Autumn Meeting
October 21-22, 2021
Fig. 14 AHX Heat Removal Rate
Fig. 15 FHX Heat Removal Rate
4.4 Summary
The developed natural circulation flow at 10,000 for
(1) Core: 0.5kg/s
(2) PDHX Shell-side: 0.25kg/s
(3) ADHX Shell-side: 0.22kg/s
The natural circulation flow through DHX shell-side is
a local path flow developed within cold pool and is
almost same as the main path(core–hot pool–cold pool–
core) flow (Approximately 94%).
In early stage of the accident, the decay heat from the
core is larger than the heat removed by 1 AHX and 1
FHX but it balances after 190s and reverses. At 1,360s,
the difference is at max and the difference slowly
decreases upto 10,000s.
The flow peak occurs at about 600s in Fig. 4 due to the
incoming sodium flow from cold pool through the
breakage point to the core. This flow develops because
the pressure drop is smaller than the normal path.
5. Conclusion
In this study, the pipe break events of STELLA-2
facility with various conditions were analyzed with
MARS-LMR. As expected, the back flow from cold
pool to the inlet plenum occurs through the pump
discharge pipe but the effect of decay heat removal was
not significantly large at early stage of the event.
However, the long-term behavior of heat removal is
negative and there should be a technical solution to
secure the long-term coolability of the core. The further
study of comparison with experiment data will show
more realistic analysis results and hopefully provide
feedback to the safety design of the reference reactor.
ACKNOWLEDGEMENT
This work was supported by the National Research
Foundation of Korea (NRF) grant funded by the Korea
government (MSIT). (No. 2021M2E2A2081063 & No.
2021M2D1A1084836)
REFERENCES
[1] J. Eoh et al., “Computer Codes V&V Tests with a
Large-Scale Sodium Thermal-Hydraulic Test Facility
(STELLA),” American Nuclear Society 2016 Annual
Meeting, New Orleans, US, June 12-16, 2016.
[2] J. Eoh, “Engineering Design of Sodium Thermal-
hydraulic Integral Effect Test Facility (STELLA-2)”,
KAERI SFR Design Report, SFR-720-TF-462-
002Rev.00, 2015.
[3] J. Lee et al., “Design Evaluation of Large-scale
Sodium Integral Effect Test Facility (STELLA-2) using
MARS-LMR”, Annals of Nuclear Energy, Vol. 120,
pp.845-856, 2018.
[4] J. Lee et al., “Design of Electric Core Simulator
System (ECSS) for Large-scale Integral Effect Test
Facility”, Annals of Nuclear Energy, Vol. 133, pp.762-
776, 2019.
1 10 100 1000 10000
0
20
40
60
80
100
120
He
at T
ran
sfe
r R
ate
, kW
Time, s
AHX-1 Tube AHX-2 Tube
AHX-1 Shell AHX-2 Shell
1 10 100 1000 10000
0
20
40
60
80
100
120
He
at T
ran
sfe
r R
ate
, kW
Time, s
FHX-1 Tube FHX-2 Tube
FHX-1 Shell FHX-2 Shell
Transactions of the Korean Nuclear Society Virtual Autumn Meeting
October 21-22, 2021