Operational Reactor Safety
22.091 /22.903
Professor Andrew C. Kadak Professor of the Practice
Probabilistic Safety Analysis Lecture 11
Topics to be Covered
• Probabilistic Basics
• Event Trees
• Fault Trees
• Applications
• Examples
• Safety Goals
• Uses
Deterministic Safety Analysis
Source unknown . All rights reserved. This content is excluded from our Creative Commons license. For more information, see http://ocw.mit.edu/fairuse .
Probabilistic Safety Analysis
Source unknown . All rights reserved. This content is excluded from our Creative Commons license. For more information, see http://ocw.mit.edu/fairuse .
PWR Engineered Safety Systems
Figures © Hemisphere. All rights reserved. This content is excluded from our Creative Commons license. For more information, see http://ocw.mit.edu/fairuse .
BWR Early Engineered Safety Systems
Figures © Hemisphere. All rights reserved. This content is excluded from our Creative Commons license. For more information, see http://ocw.mit.edu/fairuse .
PSA Applications
Source unknown . All rights reserved. This content is excluded from our Creative Commons license. For more information, see http://ocw.mit.edu/fairuse .
The Pre-PRA Era (prior to 1975)
• Management of (unquantified at the time) uncertainty was always a concern.
• Defense-in-depth and safety margins became embedded in the regulations.
• “Defense-in-Depth is an element of the NRC’s safety philosophy that employs successive compensatory measures to prevent accidents or mitigate damage if a malfunction, accident, or naturally caused event occurs at a nuclear facility.” [Commission’s White Paper, February, 1999]
• Design Basis Accidents are postulated accidents that a nuclear facility must be designed and built to withstand without loss to the systems, structures, and components necessary to assure public health and safety.
Prof. Andrew C. Kadak, 2008
Prof. Andrew C. Kadak, 2008
Potential Offsite Doses
Farmer’s Paper (1967)
Iodine-131 is a major threat to health in a nuclear plant accident.
Attempting to differentiate between credible (DBAs) and incredible accidents (Class 9; multiple protective system failures) is not logical.
If one considers a fault, such as a loss-of-coolant accident (LOCA), one can determine various outcomes, from safe shutdown and cooldown, to consideration of delays and partial failures of shutdown or shutdown cooling with potential consequences of radioactivity release.
Source unknown . All rights reserved. This content is excluded from our Creative Commons license. For more information, see http://ocw.mit.edu/fairuse .
Department of Nuclea r S c ien ce & Engineering
Prof. Andrew C. Kadak, 2008 Page 10
Prof. Andrew C. Kadak, 2008
epartment of Nuclea r S c ien ce & Engineering Page 11
D
Source unknown . All rights reserved. This content is excluded from our Creative Commons license.
Historical Risk Studies
Department of Nuclea r S c ien ce & Engineering
Prof. Andrew C. Kadak, 2008 Page 12
Source unknown . All rights reserved. This content is excluded from our Creative Commons license.
Technological Risk Assessment
• Study the system as an integrated socio-technical system.
Probabilisti c Ris k Assessmen t (PRA ) support s Risk Managemen t b y answerin g th e questions:
• What can go wrong? (accident sequences or scenarios)
• How likely are these scenarios?
• What are their consequences?
Source unknown . All rights reserved. This content is excluded from our Creative Commons license. For more information, see http://ocw.mit.edu/fairuse .
Department of Nuclea r S c ien ce & Engineering
Prof. Andrew C. Kadak, 2008 Page 13
Reactor Safety Study (WASH-1400; 1975)
Prio r Beliefs:
1. Protect against large LOCA.
2. CDF is low (about once every 100 million years, 10 -8 per reactor year)
3. Consequences of accidents would be disastrous. Majo r Findings
1. Dominant contributors: Small LOCAs and Transients.
2. CDF higher than earlier believed (best estimate: 5x10 -5 , once every 20,000 years; upper bound: 3x10 -4 per reactor year, once every 3,333 years).
3. Consequences significantly smaller.
4. Support systems and operator actions very important.
Department of Nuclea r S c ien ce & Engineering
Prof. Andrew C. Kadak, 2008 Page 14
Source unknown . All rights reserved. This content is excluded from our Creative Commons license.
Risk Curves
Frequency of Fata lities Due to Man-Caused Events (RSS)
CRITICAL SAFETY FUNCTIONS
KEEP FISSION PRODUCTS WITHIN THE FUEL
• Control Reactor Power Control reactivity additions Shutdown reliably
• Cool the Reactor and Spent Fuel Maintain coolant inventory Maintain coolant flow Maintain coolant heat sinks
KEEP RADIOACTIVE MATERIAL OUT OF THE BIOSPHERE
• M aintain Containment Integrity Prevent over-pressurization Prevent over-heating Prevent containment bypass
• Capture Material Within Contain ment Scrubbing
Deposition Chemical capture
SHIELD PERSONNEL FROM RADIATION
The Single-Failure Criterion
• “Fluid and electric systems are considered to be designed against an assumed single failure if neither (1) a single failure of any active component (assuming passive components function properly) nor (2) a single failure of a passive component (assuming active components function properly), results in a loss of the capability of the system to perform its safety functions.”
• The intent is to achieve high reliability (probability of success) without quantifying it.
• Looking for the worst possible single failure leads to better system understanding.
Department of Nuclea r S c ien ce & Engineering
Prof. Andrew C. Kadak, 2008 Page 17
Source unknown . All rights reserved. This content is excluded from our Creative Commons license.
Defense in Depth
“Defense-in-Depth is an element of the Nuclear Regulatory Commission’s safety philosophy that employs successive compensatory measures to prevent accidents or mitigate damage if a malfunction, accident, or naturally caused even t occurs at a nuclear facility.”
[Commission’s W h ite Paper, USNRC, 1999]
Source unknown . All rights reserved. This content is excluded from our Creative Commons license. For more information, see http://ocw.mit.edu/fairuse .
Department of Nuclea r S c ien ce & Engineering
Prof. Andrew C. Kadak, 2008 Page 18
PRA Model Overview
Leve l I Leve l II Leve l III
CONTAINMENT MODEL
SITE/CONSEQUENCE MODEL
Results
Public health effects
Results
Containment failure/release sequences
PLANT MODEL
Results
Accident sequences leading to plant damage states
PLAN T MODE
At-power Operation
Shutdown / Transition Evolutions
SCOPE
Internal Events External Events
Uncertainties
Basic Elements of PSA
Transition of a Risk Assessment
Event and Fault Tree Structure
Prof. Andrew C. K
ea r S c ien ce & Engineering Page 22
adak, 2008
Department of Nucl
Loss-of-offsite-power event tree
LOOP Secondary Bleed Recirc. Core Heat Removal & Feed
OK
OK
PDSi PDSj
Department of Nuclea r S c ien ce & Engineering
Prof. Andrew C. Kadak, 2008 Page 23
CDF and LERF Definitions
• Cor e damag e frequency is defined as the sum of the frequencies of those accidents that result in uncovery and heatup of the reactor core to the point at which prolonged oxidation and seve re fuel damage involving a large fraction of the core (i.e., sufficient, if released from containment, to have the potential for causing offsite health effects) is anticipated.
• L arg e earl y releas e frequency is defined as the frequency of those accidents leading to significant, unmitigated rele ases from containment in a time frame prior to effective evacuation of the close-in population such that there is the potential for early health effects. Such accidents generally include unscrubbed releases associated with ear ly containment failure shortly after vessel breach, containment bypass events , and loss of containment isolation.
Draft Regulatory Guide 1.200 Rev. 1, “An Approach for Determining the Technical Adequacy of Probabilistic Risk Assessment Results for Risk-Informed Activities”
Source unknown . All rights reserved. This content is excluded from our Creative Commons license. For more information, see http://ocw.mit.edu/fairuse .
At Power Level I Results
CDF = 4.5x10 -5 / yr (Modes 1, 2, 3)
Initiator Contribution to CDF Total:
• Internal Events… 56%
• External Events 44%
Seismic Events |
24% |
Fires |
18% |
Other |
2% |
Source unknown . All rights reserved. This content is excluded from our Creative Commons license. For more information, see http://ocw.mit.edu/fairuse .
Level I Results
• Functional Sequences
Contribution CDF
– T ransients - Station Blackout/Seal LOCA 45%
– T ransients - L oss of Support Systems/Seal LOCA 29%
– T ransients - L oss of Feedwater/Feed & Bleed 12%
– L OCA - Injection/Recirculation Failure 7%
– A TWS - N o Long Term Reactivity Control 6%
– A TWS - Reactor Vessel Overpressurization 2%
From: K. Kiper, MIT Lecture, 2006
Department of Nuclea r S c ien ce & Engineering
Prof. Andrew C. Kadak, 2008 Page 26
Source unknown . All rights reserved. This content is excluded from our Creative Commons license. For more information, see http://ocw.mit.edu/fairuse .
At Power Level II Results
Release Categories |
Conditiona l Probability |
Large-Early |
0.002 |
Small-Early |
0.090 |
Large-Late |
0.249 |
Intact |
0.659 |
Large-Early Release Freq (LERF) = 7x10 -8 / yr |
|
Large-Early Failure Mode |
Percen t Contribution |
Containment Bypass |
82% |
Containment Isolation Failure |
18% |
Gross Containment Failure |
0.1% |
Source unknown . All rights reserved. This content is excluded from our Creative Commons license. For more information, see http://ocw.mit.edu/fairuse . |
From: K. Kiper, MIT Lecture, 2006
Department of Nuclea r S c ien ce & Engineering
Prof. Andrew C. Kadak, 2008 Page 27
SHUTDOWN
Shutdown, Full Scope, Level 3 PSA (1988) Results: Mean CDF shutdow n ~ Mean CDF power
• Dominant CD sequence:
Loss of RHR at reduced inventory .
• Risk dominated by operator actions - c ausing and mitigating events.
• Significant risk reductions with low-cost modifications and controls.
Midloop level monitor, alarm Procedures, training
Administrative controls on outage planning
From: K. Kiper, MIT Lecture, 2006
Department of Nuclea r S c ien ce & Engineering
Prof. Andrew C. Kadak, 2008 Page 28
Source unknown . All rights reserved. This content is excluded from our Creative Commons license. For more information, see http://ocw.mit.edu/fairuse .
Shutdown PRA Issues
• R isk is dominated by operator actions - i mportance of HRA.
• Generic studies give useful insights, but risk- controlling factors are plant-specific .
• Shutdown risk is dynamic - a verage risk is generally low (relative to full power risk), but is subject to risk “spikes.”
• S hutdown risk is more amenable to “management.” At-power risk is designed in.
Source unknown . All rights reserved. This content is excluded from our Creative Commons license. For more information, see http://ocw.mit.edu/fairuse .
From: K. Kiper, MIT Lecture, 2006
Department of Nuclea r S c ien ce & Engineering
Prof. Andrew C. Kadak, 2008 Page 29
Integrated Risk (All Modes) – 2002 Update
Mode Description CDF Percen t o f Total
• Mode 1 |
Full-power (>70% pwr) |
4.28 E-5 |
63% |
|
• Mode 2 |
Low-power (<70% pwr) |
0.15 E-5 |
2% |
|
• Mode 3 |
Hot Standby |
0.08 E-5 |
1% |
|
• Mode 4 |
Hot Shutdown |
0.05 E-5 |
1% |
|
• Mode 5 |
Cold Shutdown |
0.91 E-5 |
13% |
|
• Mode 6 |
Refueling |
1.38 E-5 |
20% |
|
• |
Total Core Damage Frequency |
6.86 E-5 |
100% |
Department of Nuclea r S c ien ce & Engineering
Prof. Andrew C. Kadak, 2008 Page 30
Source unknown . All rights reserved. This content is excluded from our Creative Commons license. For more information, see http://ocw.mit.edu/fairuse .
From: K. Kiper, MIT Lecture, 2006
Risk Assessment Review Group
“We a r e unable to define whether the overall probability o f a core melt gi ve n in WASH-1400 is high or low, bu t we ar e certain that the err or ban ds are u n d erstated.”
WASH-1400 i s "inscrutable."
"…the f a ul t -tree/event-tree method ology is sound, and b o th can and sh ould be more widely used b y NRC ."
"PS A me th od s sh ould b e us ed to de al wit h ge neric safe ty iss ues, to formulate new regulatory re quirements , to a ssess and revalid ate exis ting r e gul at or y requirements, and to e v alu ate new designs."
Source unknown . All rights reserved. This content is excluded from our Creative Commons license. For more information, see http://ocw.mit.edu/fairuse .
Commission Actions (Jan. 18, 1979)
• “…the Commission has reexamined its views regarding the Study in light of the Review Group’s critique.”
• “The Commission withdraws any explicit or implicit past endorsement of the Executive Summary.”
• “…the Commission does not regard as reliable the Reactor Safety Study’s numerical estimate of the overall risk of reactor accidents.”
Source unknown . All rights reserved. This content is excluded from our Creative Commons license. For more information, see http://ocw.mit.edu/fairuse .
Zion and Indian Point PRAs (1981)
• First PRAs sponsored by the industry.
• Comprehensive analysis of uncertainties (Bayesian methods).
• Detailed containment analysis (not all accidents lead to containment failure).
• “External” events (earthquakes, fires) may be significant contributors to risk.
Source unknown . All rights reserved. This content is excluded from our Creative Commons license. For more information, see http://ocw.mit.edu/fairuse .
Seabrook PRA Results
Prof. Andrew C. Kadak, 2008
Department of Nuclea r S c ien ce & Engineering Page 34
M.I.T. Dept. of Nuclea r Engineering
Source unknown . All rights reserved. This content is excluded from our Creative Commons license. For more information, see http://ocw.mit.edu/fairuse .
SUNNAPY OF A CC I I EN T SC ) UENCE5 NITA SIGN1FICA%T RISf ANO CODE HEtT FkE4UENC¥ CONTRI8UTI0£S
fheet I af 8
Csunt
sddl ttqna \ Systee Ft t lures/
firequincy
5sqvgAce ktnk t ^ 1
Lost gf 0I'fsl tg
Onclte At Pecyr, ita lttcovory” of AC Air
aayonan cea 11 •f• hJ 9 8 retcure aeyeup
He ) I
HCel th
kt st
Hey ) €h
gl ek
. ( . E . C ‹ C . t ‹ ) u ” .›’ › t ‹›‹..t ‹ I .. . I .i4‹.‹* ..I,
txt s tf 0f /t I te
Oncl te AC
conPeMnt *oo1 f *9 • hl gk 2 2
Feeds a ttr
Str as L I n0
9¥4”ñ tor ml p
L0t s of Offsl te
”P0u0 F
ins s of 0f fs I tt
P0•0r
P.C C Are3 I‘ \ te
?oxrr
lies ldu‹ \ heat 8eeoY¥t
Sri id Stilt 8rotcctJon System
Operator F allure to Ext. b1 I s1 Long Yera
tmponint too ) I nt
Tra In A Onsf ta Pover, Trafn b Srrrfce
vattr, ilo Recovery .qf 8£ Fover Safari
Trt I n B Ons I te Power, 7rt in A SrrYfce
U0 t0F, 'fl9 R0CO¥8Fg 4 I Afi F0tfez' g0 f0rfi
‹na 1av Pressure •zteuy hct8 ) , racctor
coolant puup real L0cA, centalna#n”t ft tr‹t1on end hact rmeva \ .
tfon6.
C#aponent ceot Ing, Iilg8 and J sv pressure ctktup lEt8S ) , rescuer ceotsnt. puaP satl L0cA, contslnesnt Ill trtt \ ea end heat
I!1gh and 10 \ I yrcGsure ai¥keuy IEGCS ) , nectar coolant puap seal L06A, cen4ajn• cant IN I trstieu end heit resovil ,
hJqh and \ ov pressure azkeuy fECC5 ) , rtxctor rc«Jcnt yvsy s»zl LttcA, centaln- eont IN \ Bretton 2nd heel r0‹s0ra] ,
Trtfn A onst te plier, conp0nent coot log, high and 1ov pry svr4 etteup I OC85 ) ,
sent fl I tration tnd but rfnoial.
OfllPDftOfi CDO flg g 5 nd , 1 OU §F05 5tI r nzLctip tEtCS ) , reactor coolant yusy sent L0Ch, conta Invent tll trstl rim, to4 hest
0. 9•g
g.7- 5
8‹3•0
‹,i.s
j s s
4 3 •
IO •
‘Hegl tg \ b1e contr tbut,tgn ie. r Isk.
x0TE : Exp tjal not‹tjon I s Indfcctrd I n ahbrcv1.ated fern,
Source unknown . All rights reserved. This content is excluded from our Creative Commons license. For more information, see http://ocw.mit.edu/fairuse .
NUREG-1150 and RSS CDF for Peach Botto m
Source unknown . All rights reserved. This content is excluded from our Creative Commons license. For more information, see http://ocw.mit.edu/fairuse .
Department of Nuclea r S c ien ce & Engineering
Prof. Andrew C. Kadak, 2008 Page 36
Comparison of Iodine Releases (Peach Bottom)
Prof. Andrew C. Kadak, 2008
Department of Nuclea r S c ien ce & Engineering
Page 37
Source unknown . All rights reserved. This content is excluded from our Creative Commons license. For more information, see http://ocw.mit.edu/fairuse .
Quantitative Safety Goals of the
US Nuclear Regulatory Commission (August, 1986)
E a r l y a nd l a t e nt c a nc e r m o r t a l i t y
r i s k s t o an i n d i v i d u al l i v i n g n e ar t h e
p l a n t s h o u l d n o t ex cee d 0 . 1 p ercen t o f t h e ba c k g r o u nd a c c i de nt o r c a nc e r
m o r t a l i t y r i s k , a p p r o x i m a t e l y
5 x 10 -7 / y ear f o r ea r l y d e a t h a n d
2 x 10 -6 / y ear f o r d e a t h f r o m ca n c e r .
• The prompt fatality goal applies to an average individual living i n the region betw een the site boundary and 1 mile beyond this boundary.
• The latent cancer fatality goal applies to an average i ndividual living in the region betw een the site boundary and 10 miles beyond this boundary.
Source unknown . All rights reserved. This content is excluded from our Creative Commons license. For more information, see http://ocw.mit.edu/fairuse .
Department of Nuclea r S c ien ce & Engineering
Prof. Andrew C. Kadak, 2008 Page 38
Societal Risks
• Annual Individual Occupational Risks
• All industries 7x10 -5
• Coal Mining: 24x10 -5
• Fire Fighting: 40x10 -5
• Police: 32x10 -5
• US President 1,900x10 –5 (!)
• Annual Public Risks
Source unknown . All rights reserved. This content is excluded from our Creative Commons license. For more information, see http://ocw.mit.edu/fairuse .
• Total 870x10 -5
• Heart Disease 271x10 -5
• All cancers 200x10 -5
• Motor vehicles: 15x10 -5
Department of Nuclea r S c ien ce & Engineering
Prof. Andrew C. Kadak, 2008 Page 39
From: Wilson & Crouch, Risk/Benefit Analysis, Harvard University Press, 2001.
Subsidiary Goals
• The average core damage frequency (CDF) should be less than 10 -4 /ry (once every 10,000 reactor years)
• The large early release frequency (LERF) should be less than 10 -5 /ry (once every 100,000 reactor years)
Source unknown . All rights reserved. This content is excluded from our Creative Commons license. For more information, see http://ocw.mit.edu/fairuse .
Large Early Release Frequency
LERF is being used as a surrogate for the early fatality QHO.
It is defined as the frequency of those accidents leading to significant, unmitigated releases from containment in a time frame prior to effective evacuation of the close-in population such that there is a potential for early health effects.
Such accidents generally include unscrubbed releases associated with early containment failure at or shortly after ve ssel breach, containment bypass events, and loss of containment isolation.
Source unknown . All rights reserved. This content is excluded from our Creative Commons license. For more information, see http://ocw.mit.edu/fairuse .
PRA Model Overview and Subsidiary O bjective s
CONTAINMENT MODEL
PLANT MODEL
CDF
10 -4 /ry
SITE/CONSEQUENCE MODEL
QHOs
LERF
10 -5 /ry
Leve l I Leve l II Leve l III
Results
Public health effects
Results
Accident sequences leading to plant damage states
Results
Containment failure/release sequences
PLAN T MODE
At-power Operation Shutdown / Transition
SCOPE
Internal Events External Events
Evolution s
Uncertainties
Prof. Andrew C. Kadak, 2008
Department of Nuclea r S c ien ce & Engineering
Page 42
“Acceptable” vs. “Tolerable” Risks (UKHSE)
Ris k ca nnot be jus tifie d sa v e in e x tra or dina ry ci r c u ms ta nc es
Contro l me as ur es mus t be i n t r od u ced f o r ri sk i n t h is r e gion to dr ive r e s i d u al r i sk tow a r ds the b r oa dly accept ab le reg ion
Le vel of r e s i d u a l r i sk re gar de d a s in si gnifi ca nt - - fur the r e ffor t to r e du ce r i s k not l i k e l y t o be r e qu ir e d
In creasin g individ ual risk s and so cietal concerns
UNA CCEPTA BLE REGI ON
TOLERA BLE REGIO N
BROA DLY A CCE P T A B LE RE GION
PRA Policy Statement (1995)
• The use of PRA should be increased to the extent supported by the state of the art and data and in a manner that complements the defense-in-depth philosophy.
• PRA should be used to reduce unnecessary conservatisms associated with current regulatory requirements.
Source unknown . All rights reserved. This content is excluded from our Creative Commons license. For more information, see http://ocw.mit.edu/fairuse .
f. Andrew C. Kadak, 2008
Risk Decrease, Neutral , or Small Increase
Monitor Performance
Department of Nuclea r S c ien ce & Engineering
Pro Page 45
Integrated Decision Making
Risk-Informed Decision Making
Compl y wit h
Regulation s
Maintain Defense-in- Depth Philosophy
Maintain Safety Margins
for Licensin g Basi s Change s (R G 1.174 , 1998 )
CDF
Region I
Region I
- No changes
10 -5
Regio n I I
- S mall Changes
- T rack Cumulative Impacts Region III
- V ery Small Changes
10 -6
Region II
Region III
- More flexibility with respect to Baseline
- T rack Cumulative Impacts
10 -5
10 -4
CDF
Accep tanc e Guideline s fo r Cor e Damag e Frequenc y
R isk-Informe d Framewor k
Traditional “Deterministic” Approaches
• Unquantified Probabilities
• Design-B asis Accidents
• Structuralist Defense in Depth
Risk- Informed Approach
• Combination of traditional and
risk-based
Risk-Based Approach
• Quantified Probabilities
• Scenario Based
• Realistic
Can impose heavy regulatory burden
• Incomplete
approaches
• Rationalist Defense in Depth
• Incomplete
• Quality is an issue
Homework
• Knief
– P roblems: 14.16, 19, 24, 28
MIT OpenCourseWare http://ocw.mit.edu
22.091 Nuclear Reactor Safety
Spring 200 8
For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms .