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BARCBARC
1
RELABILITY ANALYSIS OF PASSIVE SYSTEMS
A.K. Nayak, PhDReactor Engineering Division
Bhabha Atomic Research CentreTrombay, Mumbai 400085
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Safety criteria for advanced reactor systems
Risk based approach
Accuracy of Current PSA treatment- human reliability?
Advanced systems - operator action
is minimized throughpassive systems.
- reliability of passive systemsmust be considered. RADIOLOGICAL CONSEQUENCES
-
-
FREQ
UEN
CY
(eve
nts/
year
)
unallowabledomain
-
Quantitative Probabilistic Safety Goal
allowabledomain
Residual risk (RR) : no additional public health concerns
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Why Passive Systems Can Fail?
While, Passive systems by definition, should operate only on the basis of fundamental natural physical laws, question arises
Can Such Systems Fail?• Possibly no – for example,
gravity does not fail; buoyancy does not fail or in other words “mechanism does not fail”
• Possibly Yes – for example,mechanism may not fail, but the system may not be able to carry out the required duty or defined objectives whenever called on
This is called as “Functional Failure” of a Passive System, which can happen if the boundary conditions deviate from the specified value on which the performance of the system depends. Mainly because, the driving force of passive systems are small, which can be easily changed even with a small disturbance or change in operating parameters.
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Difficulties in Evaluation of Functional Failure of Passive Systems
Lack of Plant Data and Operational Experience
Lack of sufficient experimental data from Integral Facilities or even from Separate Effect Tests in order to understand their performance characteristics not only at normal operation but also during transients and accidents.
The definition of failure mode of the systems are not well defined.
Difficulty in modeling the physical behaviour of such systems; particularly,• low flow natural circulation; the flow is not fully developed and can be multi-dimensional in
nature• flow instabilities which include flashing, geysering, density-wave, flow pattern transition
instabilities, etc.• critical heat flux under oscillatory condition• flow stratification with kettle type of boiling particularly in large diameter vessel • thermal stratification in large pools such as in GDWP• effect of non-condensable gases on condensation, etc.
Capability of so called “Best Estimate Codes” for such systems- use models applicable for active systems. - applicability for passive systems? Not well known.- Uncertainty of predictions
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Sources of Uncertainties
Uncertainties in the best estimate codes can arise due to• incapable models built-in the codes to represent a specific
phenomena;
• absence of models to represent a particular phenomena;
• deviations of the input parameters due to the uncertainties of the instruments and control systems and that of the geometry of the loop;
• uncertainties in the material properties such as fuel thermal conductivity; fuel-to-clad gap conductance, etc.
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Experimental Programme for Data Generation for Assessment of Code Uncertainties
BARC has built many experimental facilities for study of
• Natural Circulation, Flow Instabilities, CHF Under Oscillatory Condition;
• Condensation in Presence of Non-condensable;
• Behaviour of PCCS and PCIS
BARC will use its best estimate codes (RELAP5 and others) to compare code prediction with test data and evaluate uncertainties.
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Experimental Facilities for Study of Boiling Two-phase Natural Circulation
TEST SECTION
BUS BAR
BUS BAR
VENT LINEBLEED LINE
COOLING WATER OUTCOOLING WATER IN
CONDENSER
FILL LINE
DRAIN LINE
STEAM DRUM
RUPTURE DISCRELIEF VALVE
COOLER
COOLING WATER IN COOLING WATER OUT
Objectives•To generate date for natural circulation steady state and stability behaviour
Major Design ParametersDesign Pressure : 114 kg/cm2
Design temperature : 315 oCMaximum Power : 80 kWLoop Diameter : 50 mmElevation : 3000 mmHeated Section : 1000 mm
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Experimental Facilities for Study of Boiling Two-phase Natural Circulation (Contd.)
STEAM DRUM
APSARA REACTOR
Test Section
NEUTRON BEAM
CONDENSER
Flow pattern transition studies using neutron radiography
OBJECTIVES:
• Develop flow pattern transition criteria
• To understand the low power (Type I) and high power (type II) instabilities in natural circulation
• Measurement of CHF, pressure drop, void fraction and its distribution using NRG
• Evolution of Start-up procedure
Operating Parameters:Pressure : 70 barTemperature : 285 0 CNeutron Flux : 106 to 108 n/cm2s
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Experimental Facilities for Study of Boiling Two-phase Natural Circulation (Contd.)
Objectives:• In-phase and out-of-phase
instability behaviour of parallel channels in naturalcirculation mode
• Effect of void reactivity feed back on thermalhydraulic stability
Geometric Details:Number of channels : 4Elevation : 3000 mmPipe diameter : 25 mmHeater diameter : 12 mmLength of heater : 1000 mmOperating pressure : 15 bar
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Experimental Facilities for Study of Boiling Two-phase Natural Circulation (Contd.)
ISOLATIONCONDENSER
STEAM DRUM N2
CYLINDER
ADVANCEDACCUMULATOR
TAIL PIPE
GRAVITY DRIVENWATER POOL
RUPTURE DISC
HEADER
FEEDER
ECCS HEADER
FUEL CHANNEL
SIMULATOR
INTEGRAL TEST LOOP
Generation of database for performance evaluation of following
Steady state performance of natural circulation in MHTS- Mass flow rate- Pressure drop - void fraction- CHF- Gravity separation of Steam-water mixture in SD
Stability performance of natural circulation in MHTS- Static instability- Dynamic instability
Safety systems- Passive decay heat removal system (ICS)- ECCS
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Scaling Philosophy for Design
A three level approach is followed
(a) GLOBAL SCALING
Power – to – Volume scaling philosophy adopted
• Pressure, temperature and elevation : 1:1• Volume scaling ratio : 452
(b) BOUNDARY FLOW SCALING
• Feed water and steam flow simulation• Pressure, temperature and enthalpy : 1:1
(c ) LOCAL PHENOMENA SCALED ARE• CHF• Geysering, flashing, Carry-over and carry-under in steam drum, etc.
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Examples of Uncertainties of RELAP5/MOD3.2 with the in-house natural circulation data
-50 0 50 100 150 200 250 300 350-30
-20
-10
0
10
20
30
% E
rror
Power (kW)
Apsara HPNCL ITL Uncertainties have been
evaluated for
- steady state naturalcirculation,
- stability of naturalcirculation and limited datafor CHF
Example of error distribution for the test data of ITL, HPNCL and Apsara natural circulation loops
Abs
olut
e Fr
eque
ncy
% Error
Experimental Loop
Number of steady state data points
Uncertainty
Apsara ½” 87
~ 17 %HPNCL 26
ITL 14
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Examples of Uncertainties of RELAP5/MOD3.2 with the in-house natural circulation data (Contd.)
Uncertainties in code prediction for flow instabilities
State or condition of flow- Stable - Unstable - Threshold of Instability
Characteristics of Instabilities - Amplitude and frequency of oscillations including flow reversals- Important for simulation of CHF
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Examples of Uncertainties of RELAP5/MOD3.2 with the in-house natural circulation data (Contd.)
How to Evaluate Uncertainties for Flow Instabilities Prediction?
Current Numerical Codes are formulated based on First-Order-Numerical Discretization.
They have inherent numerical problems due to- ill-posedness of basic equations- numerical diffusion- instability whether physical or numerical???- sensitive to nodalization, etc.
Capability of Best-Estimate Codes to flow instabilities are not proven even for the condition or state of instability.Characteristics of Instability????
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Example of Nodalization Sensitivity of RELAP5 code for Simulation of Flow Instability
220 230 240 250 2604.9
5.0
5.1
5.2
5.3
5.4
5.5Number of grids
in Riser
Mas
s Fl
ow R
ate
(kg/
s)
Time (s)
4 grids 8 grids 12 grids 36 grids 40 grids 44 grids 48 grids 52 grids
Inlet Feeder pipes
Down Comers Ring Header
Steam
Steam drums
Tail pipes
Fuel bundles
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Characterization of Uncertainty for Flow Instability Prediction
Quantification of Uncertainties in Code Prediction for Instabilities is not possible with the current knowledge.
A Qualitative Treatment Can be Given
Error Uncertainty
< 10% Low
10%<Error<30% Medium
30%<Error<50% High
>50% Severe
.
5.%EXPT
RELAPEXPT
ParameterParameterParameter
Error
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Examples of Uncertainties in RELAP5 code for prediction of CHF induced by flow instability
Tube ID (m m)
Pressure (bar)
Expt. CHF(kW /m2)
Predicted CHF
% Error Uncertainty
13.5 209.68 212.70 1.44 LO W
5.1 196.12 196.56 0.20 LO W
7.0
2.35 118.82 102.68 13.60 M EDIUM
8.11 356.61 310.30 12.99 M EDIUM
6.25 335.00 366.72 9.47 LO W
9.1
4.6 335.00 169.25 49.47 H IGH
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Assessment of Passive Systems ReliAbility (APSRA)
BARC has developed a methodology for Assessment of Passive Systems ReliAbility known as APSRA.
It mainly considers the functional failure of the system to carry out the desired function as the basis of the failure of the passive systems.
The functional failure due to deviation of parameters are correlated with the failure of actual components through root diagnosis.
The methodology relies on in-house experimental data from simulated facilities in addition to best estimate codes for evaluation of reliability.
The method has been evaluated to evaluate the reliability of various Passive Systems of the AHWR.
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APSRA - How it works ?
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Applications
• AHWR is a vertical pressure tube type, boiling light water cooled and heavy water moderated reactor using (233U-Th) O2 and (Pu-Th) O2fuel.
MAJOR DESIGN OBJECTIVES1. A LARGE FRACTION OF POWER FROM THORIUM. 2. DEPLOYMENT OF SEVERAL PASSIVE SAFETY SYSTEMS – 3 DAYS
GRACE PERIOD.3. NO NEED FOR EMERGENCY PLANNING IN PUBLIC DOMAIN.4. POWER OUTPUT – 300 MWe.
CALANDRIA
STEAM DRUM
REACTOR BUILDING
INCLINED FUELTRANSFER MACHINE
FUELLING MACHINE
FUEL BUILDING
GRAVITY DRIVENWATER POOL (GDWP)
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Passive Safety Feature Heat removal from core by natural circulation of coolant in Main Heat Transport System
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Passive Safety FeaturePassive core decay heat removal by Isolation Condensers immersed in Gravity Driven Water Pool
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Passive Safety FeaturePassive injection of ECC water during LOCA, initially from accumulators and later from the overhead GDWP, directly into fuel cluster.Passive Containment Isolation & Passive Containment Cooling
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Passive Safety Feature
Passive Poison Injection System actuates during very low probability event of failure of wired shutdown systems (SDS#1 & SDS#2) and non-availability of Main condenser
Passive Poison Injection in moderator during overpressure transient
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Reliability Evaluation of Natural Circulation Using APSRA
Step IPassive System – For example,
Natural Circulation in the MHT System of the AHWR
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Reliability Evaluation of Natural Circulation Using APSRA (Contd.)
Step IIIdentification of its operational mechanisms:
Natural circulation operates by difference in density in hot and cold legs (known as buoyancy force) balanced by flow resistances.
Identification of its failure:
Natural circulation failure in AHWR can be identified by
- rise in clad surface temperature above a critical value (400 oC) or/and
- occurrence of CHF by flow induced instability
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Reliability Evaluation of Natural Circulation Using APSRA (Contd.)
Step IIIParameters affecting the
operationNatural Circulation
Performance depends on
- operating pressure- fission heat- level in the steam drum- feed water temperature/ core inlet
subcooling - presence of non-condensable gases- flow resistances in the system
2 4 6 8 10
1200
1400
1600
1800
2000
2200
2400
2600
Flow
rate
- kg
/sec
Pressure - Mpa
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Reliability Evaluation of Natural Circulation Using APSRA (Contd.)
Step IVKey parameters causing the failure
- fission heat generation rate high- level in steam drum low- pressure in the system too low - feed water temperature too low ortoo high
- concentration of non-condensables gases high
Failure can happen if these parameters exceed their limits to cause the failure as discussed in Step II
200 220 240 260 280 300-2
0
2
4
6
8
10
12Tsub=25 KPressure = 70 bar
Mas
s flo
w ra
te (k
g/s)
Time (s)
2.6 MW (100% FP) 3.536 MW (136% FP) 3.614 MW (139% FP)
Flow oscillation induced CHF at high power
200 220 240 260 280 300-1
0
1
2
3
4
5
6
CH
FRTime (s)
100% FP (2.6 MW) 136% FP (3.536 MW) 139% FP (3.614 MW)
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ISOLATIONCONDENSER
STEAM DRUM N2
CYLINDER
ADVANCEDACCUMULATOR
TAIL PIPE
GRAVITY DRIVENWATER POOL
RUPTURE DISC
HEADER
FEEDER
ECCS HEADER
FUEL CHANNEL
SIMULATOR
INTEGRAL TEST LOOP
Reliability Evaluation of Natural Circulation Using APSRA (Contd.)
How to determine the limits of the parameters
- Through use of best estimate codessupplemented by experiments in orderto reduce the uncertainties in the bestestimate codes.
- BARC has a full scaled facility of theAHWR, known as the Integral Test Loop(ITL). This facility operates at the samepressure and temperature conditions ofthe AHWR.
- BARC also has number of experimentalfacilities for study of boiling two-phasenatural circulation.
- Experiments will be conducted in thesefacilities in order to confirm the limits ofthe parameters at which failure ofnatural circulation occurs.
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Reliability Evaluation of Natural Circulation Using APSRA (Contd.)
Step – V : Generation of failure surface
Failure Surface generated by taking into account 3 parameters
010
2030
405050
5560
6570
75100110120130140150160170180190
Subcooling (K
)
% F
ull p
ower
P ressure (bar)
Success
Failure
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Programme for Validation of Failure Surface with Test Data
Range of Key Parameters to cause failure to be determined by Best Estimate Codes
Experimental Facilities
ITL HPNCL
PCL
Set the Key Parameters To the Desired Value as the input for the experiments
Monitor the Failure Variables
Compare code prediction with test data
Determine the Uncertainty and modify the failure data points
Failure data point as input to Mathematical Model to generate failure surface
Failure Surface of Passive System
Input to step V
Benchmarking 2040
60
80
0 5 10 1520
25
0
300
600
900
1200Experimental Data
Unstable data Stable data
Pow
er (k
W)
Pres
sure
(bar
)
Stable
Unstable
Subcooling (K)
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Reliability Evaluation of Natural Circulation Using APSRA (Contd.)
Step VI : Root Diagnosis
After establishing the domain of failure surface, Next task is to Identify the causes for the deviation of key parameters
This must be done carefully through experts’ judgments.
The key parameters’ deviations are either caused by failure of some active components such as
- valves, pumps, instruments, control systems, etc.
Or, due to failure of some passive components such as - rupture disc, check valves, passive valves, etc.
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Reliability Evaluation of Natural Circulation Using APSRA (Contd.)
Step VII Once the causes of failure of key parameters (either due to
active components or passive devices) are known in Step V,the failure probability of the components can be evaluated inthe conventional way.
To evaluate the failure probability of certain components such as aglobe valve at partial open positions, a new methodology is beingdeveloped.
An example of event tree/fault tree for high feed water temperature or low inlet subcooling
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Reliability Evaluation of Natural Circulation Using APSRA (Contd.)
FEEDTEMPw=1.150e-1
HIGH FEEDWATER
TEMPERATURE
LOWFEEDFLOWw=1.150e-1
LOW FEEDWAT ERFLOW
FEED VALVES MALFUNCTI ONI NG
w=2.064e-10
VALVESFEED&STEAM
SIDE
CHECK VALVEw=1.240e-2
Check Valves inthe feed water line
Malfuction
SD-LEVEL-CNTRL- FAIL1
w=2.018e-7
2
Steam DrumLevel controllermalfuctioning
LEVELCNTRL VAL
Malfuctioningof level control
Valves
w=4.31102e-005*
CEP-MKV
Condensateextration pump
malfuction
w=0.0530312*
FWP-MKV
Feed waterPump
malfuction
w=0.0530312*
VAL-ST EAMw=2.694e-2
Inadvertantopening ofVALVES
VAL-FEEDw=2.656e-7
IsolationvalveS feedwater side
SD-LVL-CNTRL1
Steam DrumLevel controller-1
malfuctioning
r=0.003504
SD-LVL-CNTRL2
Steam DrumLevel controller -2
malfuctioning
r=0.003504
SD-LVL-CNTRL3
Steam DrumLevel controller-3
malfuctioning
r=0.003504
LVL-CHV1
before levelcontrol valves -Check Valve 1
stuck close
r=0.0062
LVL-CHV2
After level controlvalves - CheckValve2 stuck
close
r=0.0062
CV-STEAM
Inadvertant openingof C/V in the steam
side of temp controlheater
r=0.0245
MANUAL VALVE-STEAM
Parallel MANUALvalve fails toremain closed
r=0.00245
ISOVAL1-FEED
Isolation valve-1 inthe temp control
heater feed waters ide fails to remain
closed
r=0.002628
ISOVAL2-FEED
Isolation valve-2 inthe temp control
heater feed waterside fails to remain
closed
r=0.002628
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Reliability Evaluation of Natural Circulation Using APSRA (Contd.)
Step VIII
Evaluation of Reliability Of NC System
160.0
150.0
170.0
140.0
130.0
180.0
180.0
50 55 60 65 70 755
10
15
20
25
30
35
40
45
50
120.0
Failure frequency
-5E-10
0
5E-10
1E-9
1.5E-9
2E-9
2.5E-9
3E-9
3.5E-9
Pressure (bar)
Subc
oolin
g (K
)Constant % full power lines
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APSRA applications: other examples
Isolation Condenser
0 20 40 60 80 100
0
1
2
3
4
5
6
7
40
5060708 090
Fa ilu re reg io n
S u ccess reg io n
% o
f Non
-con
dens
able
s
GD
WP
wat
er
tem
pera
ture
(o C)
% H e igh t E x pos ure o f IC Tu be s
Failure probability for IC to maintain Hot-SD ~ 8x1e-7/ yr
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RMPS vs. APSRA
There are certain points which are common in both the methodologies; for example,
• treatment of the functional failure as the failure of the system • identification of functional failure criteria • evaluation of uncertainties in code prediction • Consideration of uncertainties in prediction of functional failure
of system. However, there are differences; for example,
• treatment of deviation of key parameters causing the failure • generation of failure data/surface • consideration of test data/code-to-code differences for
calculation of uncertainties.
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Application of APSRA to DHR of GFR
RELAP5/MOD3.2 code will be used for failure surface generation, assuming code can predict the system behaviour accurately.
For application of APSRA methodology, it is essential to know
• Mission specific Failure criteria of DHR system, mission time• Identification and range of variation of physical parameters which
have significant influence on system behaviour• Flow sheet showing how these parameters are controlled by
mechanical components such as valves, control systems, etc.• Primary side of GFR has a few valves; it is essential to know the
valve characteristics, i.e. resistance vs. opening area.
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Application of APSRA to DHR of GFR
Some of the physical parameters which are anticipated to have significant influence on system behaviour
• DHR primary side initial pressure;• DHR water side initial temperature and pressure• DHR pool side temperature and level• DHR water side (is there possibility of presence of non-
condensables???)
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Application of APSRA to DHR of GFR – Sensitivity analysis may be performed to evaluate model and geometric uncertainties
Uncertainty in models Heat transfer coefficient Friction factor Gap conductance Material properties particularly for heat transfer surfaces
Uncertainty in geometry Tube diameter and length (water side) Pipe diameter and length (primary side)
• Partial blockage of some of tubes in water side
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