Preface |
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xii | |
Permissions and Copyrights |
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xiv | |
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xvi | |
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xviii | |
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1 Risk and Safety of Engineered Systems |
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1 | (14) |
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1.1 Risk and Its Perception and Acceptance |
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1 | (5) |
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1.2 Overview of Risk and Safety Analysis |
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6 | (2) |
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1.3 Two Historical Reactor Accidents |
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8 | (1) |
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9 | (1) |
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1.5 Reliability, Availability, Maintainability, and Safety |
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10 | (2) |
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1.6 Organization of the Book |
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12 | (3) |
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13 | (2) |
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2 Probabilities of Events |
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15 | (44) |
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15 | (2) |
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2.2 Event Tree Analysis and Minimal Cut Sets |
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17 | (2) |
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19 | (6) |
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2.3.1 Interpretations of Probability |
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19 | (1) |
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2.3.2 Axiomatic Approach to Probabilities |
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20 | (1) |
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2.3.3 Intersection of Events |
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21 | (1) |
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22 | (3) |
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2.3.5 Decomposition Rule for Probabilities |
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25 | (1) |
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2.4 Time-Independent Versus Time-Dependent Probabilities |
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25 | (1) |
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2.5 Time-Independent Probabilities |
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26 | (5) |
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26 | (1) |
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2.5.2 Time-Independent Probability Distributions |
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27 | (4) |
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31 | (4) |
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2.7 Reliability Functions |
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35 | (6) |
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2.8 Time-Dependent Probability Distributions |
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41 | (9) |
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2.8.1 Erlangian and Exponential Distributions |
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42 | (1) |
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43 | (1) |
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2.8.3 Lognormal Distribution |
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44 | (2) |
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2.8.4 Weibull Distribution |
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46 | (1) |
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2.8.5 Generalized "Bathtub" Distribution |
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47 | (1) |
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2.8.6 Selection of a Time-Dependent Probability Distribution |
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48 | (2) |
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2.9 Extreme-Value Probability Distributions |
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50 | (2) |
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2.10 Probability Models for Failure Analyses |
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52 | (7) |
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53 | (1) |
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53 | (6) |
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59 | (26) |
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59 | (6) |
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60 | (1) |
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3.1.2 Maximum Likelihood Estimators |
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61 | (3) |
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3.1.3 Maximum Entropy Estimators |
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64 | (1) |
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3.1.4 Comparison of Estimators |
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65 | (1) |
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3.2 Bayesian Updating of Data |
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65 | (5) |
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65 | (2) |
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3.2.2 Applications of the Bayes Equation |
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67 | (3) |
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3.3 Central Limit Theorem and Hypothesis Testing |
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70 | (4) |
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3.3.1 Interpretation of the Central Limit Theorem |
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71 | (1) |
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3.3.2 Hypothesis Testing with the Central Limit Theorem |
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72 | (2) |
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3.4 Reliability Quantification |
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74 | (11) |
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3.4.1 Central Limit Theorem for Reliability Quantification |
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74 | (2) |
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3.4.2 Engineering Approach for Reliability Quantification |
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76 | (1) |
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3.4.3 χ2-Distribution for Reliability Quantification |
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77 | (1) |
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3.4.4 Three-Way Comparison and Concluding Remarks |
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78 | (2) |
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80 | (1) |
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80 | (5) |
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4 Reliability of Multiple-Component Systems |
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85 | (24) |
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4.1 Series and Active-Parallel Systems |
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86 | (7) |
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4.1.1 Systems with Independent Components |
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86 | (2) |
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4.1.2 Systems with Redundant Components |
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88 | (2) |
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4.1.3 Fail-to-Safety and Fail-to-Danger Systems |
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90 | (3) |
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4.2 Systems with Standby Components |
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93 | (3) |
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4.3 Decomposition Analysis |
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96 | (4) |
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4.4 Signal Flow Graph Analysis |
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100 | (1) |
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101 | (8) |
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104 | (1) |
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104 | (5) |
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5 Availability and Reliability of Systems with Repair |
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109 | (32) |
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109 | (2) |
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111 | (7) |
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5.2.1 Markov Governing Equations |
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111 | (2) |
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5.2.2 Solution of Markov Governing Equations |
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113 | (3) |
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5.2.3 An Elementary Example |
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116 | (2) |
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5.3 Availability Analyses |
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118 | (10) |
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5.3.1 Rules for Constructing Transition Rate Matrices |
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118 | (1) |
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5.3.2 Availability Transition Rate Matrices |
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119 | (4) |
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5.3.3 Time-Dependent Availability Examples |
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123 | (4) |
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5.3.4 Steady-State Availability |
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127 | (1) |
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128 | (5) |
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5.4.1 Reliability Transition Rate Matrices |
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129 | (1) |
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5.4.2 Time-Dependent Reliability Examples |
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130 | (1) |
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5.4.3 Mean Time to Failure |
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130 | (3) |
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5.5 Additional Capabilities of Markov Models |
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133 | (8) |
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5.5.1 Imperfect Switching Between System States |
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134 | (2) |
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5.5.2 Systems with Nonconstant Hazard Rates |
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136 | (1) |
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137 | (1) |
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137 | (4) |
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6 Probabilistic Risk Assessment |
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141 | (38) |
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142 | (1) |
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6.2 Classification of Failure Events |
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143 | (7) |
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6.2.1 Primary, Secondary, and Command Failures |
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143 | (1) |
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6.2.2 Common Cause Failures |
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144 | (4) |
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148 | (2) |
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150 | (2) |
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150 | (1) |
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150 | (2) |
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6.4 Combination of Failures and Consequences |
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152 | (4) |
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152 | (2) |
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6.4.2 Event Tree Analysis |
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154 | (2) |
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156 | (9) |
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156 | (1) |
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6.5.2 Fault Tree Construction |
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157 | (1) |
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6.5.3 Qualitative Fault Tree Analysis |
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157 | (3) |
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6.5.4 Quantitative Fault Tree Analysis |
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160 | (5) |
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6.5.5 Common Cause Failures and Fault Tree Analysis |
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165 | (1) |
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165 | (3) |
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6.7 Uncertainty and Importance Analysis |
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168 | (11) |
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6.7.1 Types of Uncertainty in PRAs |
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168 | (1) |
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6.7.2 Stochastic Uncertainty Analysis |
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169 | (1) |
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6.7.3 Sensitivity and Importance Analysis |
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170 | (2) |
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172 | (1) |
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172 | (7) |
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7 Computer Programs for Probabilistic Risk Assessment |
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179 | (18) |
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7.1 Fault Tree Methodology of the SAPHIRE Code |
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179 | (4) |
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7.1.1 Gate Conversion and Tree Restructuring |
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180 | (1) |
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7.1.2 Simplification of the Tree |
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180 | (2) |
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7.1.3 Fault Tree Expansion and Reduction |
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182 | (1) |
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7.2 Fault and Event Tree Evaluation with the SAPHIRE Code |
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183 | (2) |
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7.3 Other Features of the SAPHIRE Code |
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185 | (1) |
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185 | (2) |
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7.5 Binary Decision Diagram Algorithm |
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187 | (10) |
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7.5.1 Basic Formulation of the BDD Algorithm |
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187 | (2) |
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7.5.2 Generalization of the BDD Formulation |
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189 | (4) |
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7.5.3 Zero-Suppressed BDD Algorithm and the FTREX Code |
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193 | (1) |
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194 | (1) |
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195 | (2) |
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8 Nuclear Power Plant Safety Analysis |
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197 | (62) |
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8.1 Engineered Safety Features of Nuclear Power Plants |
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197 | (18) |
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8.1.1 Pressurized Water Reactor |
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198 | (12) |
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8.1.2 Boiling Water Reactor |
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210 | (5) |
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8.2 Accident Classification and General Design Goals |
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215 | (5) |
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8.2.1 Plant Operating States |
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217 | (1) |
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8.2.2 Accident Classification in 10 CFR 50 |
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217 | (2) |
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8.2.3 General Design Criteria and Safety Goals |
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219 | (1) |
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8.3 Design Basis Accident: Large-Break LOCA |
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220 | (11) |
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8.3.1 Typical Sequence of a Cold-Leg LBLOCA in PWR |
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221 | (4) |
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8.3.2 ECCS Specifications |
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225 | (2) |
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8.3.3 Code Scaling, Applicability, and Uncertainty Evaluation |
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227 | (4) |
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8.4 Severe (Class 9) Accidents |
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231 | (2) |
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8.5 Anticipated Transients Without Scram |
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233 | (8) |
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8.5.1 History and Background of the ATWS Issue |
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233 | (2) |
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8.5.2 Resolution of the ATWS Issues |
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235 | (2) |
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8.5.3 Power Coefficients of Reactivity in LWRs |
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237 | (4) |
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8.6 Radiological Source and Atmospheric Dispersion |
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241 | (9) |
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8.6.1 Radiological Source Term |
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242 | (1) |
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8.6.2 Atmospheric Dispersion of Radioactive Plume |
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243 | (4) |
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8.6.3 Simple Models for Dose Rate Calculation |
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247 | (3) |
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8.7 Biological Effects of Radiation Exposure |
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250 | (9) |
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252 | (2) |
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254 | (5) |
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9 Major Nuclear Power Plant Accidents and Incidents |
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259 | (44) |
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9.1 Three Mile Island Unit 2 Accident |
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260 | (3) |
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9.1.1 Sequence of the Accident---March 1979 |
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260 | (1) |
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9.1.2 Implications and Follow-Up of the Accident |
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260 | (3) |
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9.2 PWR In-Vessel Accident Progression |
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263 | (9) |
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9.2.1 Core Uncovery and Heatup |
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265 | (1) |
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266 | (2) |
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9.2.3 Clad Melting and Fuel Liquefaction |
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268 | (2) |
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9.2.4 Molten Core Slumping and Relocation |
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270 | (1) |
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271 | (1) |
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272 | (5) |
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9.3.1 Cause and Nature of the Accident---April 1986 |
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272 | (2) |
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9.3.2 Sequence of the Accident |
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274 | (1) |
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9.3.3 Estimate of Energy Release in the Accident |
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275 | (1) |
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9.3.4 Accident Consequences |
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275 | (1) |
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9.3.5 Comparison of the TMI and Chernobyl Accidents |
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276 | (1) |
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9.4 Fukushima Station Accident |
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277 | (2) |
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9.4.1 Sequence of the Accident---March 2011 |
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277 | (1) |
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9.4.2 March 2011 Perspectives on the Fukushima SBO Event |
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278 | (1) |
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9.5 Salem Anticipated Transient Without Scram |
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279 | (4) |
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9.5.1 Chronology and Cause of the Salem Incident |
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279 | (2) |
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9.5.2 Implications and Follow-Up of the Salem ATWS Event |
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281 | (2) |
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9.6 LaSalle Transient Event |
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283 | (8) |
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9.6.1 LaSalle Nuclear-Coupled Density-Wave Oscillations |
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283 | (4) |
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9.6.2 Simple Model for Nuclear-Coupled Density-Wave Oscillations |
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287 | (2) |
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9.6.3 Implications and Follow-Up of the LaSalle Incident |
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289 | (2) |
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9.7 Davis-Besse Potential LOCA Event |
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291 | (12) |
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9.7.1 Background and Chronology of the Incident |
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291 | (2) |
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9.7.2 NRC Decision to Grant DB Shutdown Delay |
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293 | (2) |
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9.7.3 Causes for the Davis-Besse Incident and Follow-Up |
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295 | (2) |
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297 | (3) |
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300 | (3) |
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10 PRA Studies of Nuclear Power Plants |
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303 | (46) |
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10.1 WASH-1400 Reactor Safety Study |
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304 | (7) |
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10.2 Assessment of Severe Accident Risks: NUREG-1150 |
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311 | (29) |
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10.2.1 Background and Scope of the NUREG-1150 Study |
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311 | (2) |
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10.2.2 Overview of NUREG-1150 Methodology |
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313 | (2) |
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10.2.3 Accident Frequency Analysis |
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315 | (5) |
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10.2.4 Accident Progression Analysis |
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320 | (4) |
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10.2.5 Radionuclide Transport Analysis |
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324 | (3) |
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10.2.6 Offsite Consequence Analysis |
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327 | (3) |
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10.2.7 Uncertainty Analysis |
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330 | (1) |
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331 | (6) |
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10.2.9 Additional Perspectives and Comments on NUREG-1150 |
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337 | (3) |
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10.3 Simplified PRA in the Structure of NUREG-1150 |
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340 | (9) |
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10.3.1 Description of the Simplified PRA Model |
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340 | (4) |
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10.3.2 Parametric Studies and Comments on the Simplified PRA Model |
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344 | (1) |
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345 | (2) |
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347 | (2) |
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11 Passive Safety and Advanced Nuclear Energy Systems |
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349 | (52) |
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11.1 Passive Safety Demonstration Tests at EBR-II |
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349 | (15) |
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11.1.1 EBR-II Primary System and Simplified Model |
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350 | (7) |
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11.1.2 Unprotected Loss-of-Flow and Loss-of-Heat-Sink Tests |
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357 | (4) |
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11.1.3 Simplified Fuel Channel Analysis |
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361 | (1) |
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11.1.4 Implications of EBR-II Passive Safety Demonstration Tests |
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362 | (2) |
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11.2 Safety Characteristics of Generation III+ Plants |
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364 | (18) |
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11.2.1 AP1000 Design Features |
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364 | (2) |
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11.2.2 Small-Break LOCA Analysis for AP1000 |
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366 | (5) |
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11.2.3 Economic Simplified Boiling Water Reactor |
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371 | (4) |
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11.2.4 Reliability Quantification of SBWR Passive Safety Containment |
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375 | (7) |
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11.3 Generation IV Nuclear Power Plants |
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382 | (19) |
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11.3.1 Sodium-Cooled Fast Reactor |
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383 | (4) |
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11.3.2 Hypothetical Core Disruptive Accidents for Fast Reactors |
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387 | (6) |
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11.3.3 VHTR and Phenomena Identification and Ranking Table |
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393 | (3) |
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396 | (3) |
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399 | (2) |
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12 Risk-Informed Regulations and Reliability-Centered Maintenance |
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401 | (16) |
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12.1 Risk Measures for Nuclear Plant Regulations |
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402 | (4) |
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12.1.1 Principles of Risk-Informed Regulations and Licensing |
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402 | (3) |
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12.1.2 Uncertainties in Risk-Informed Decision Making |
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405 | (1) |
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12.1.3 Other Initiatives in Risk-Informed Regulations |
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406 | (1) |
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12.2 Reliability-Centered Maintenance |
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406 | (11) |
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12.2.1 Optimization Strategy for Preventive Maintenance |
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407 | (2) |
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12.2.2 Reliability-Centered Maintenance Framework |
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409 | (1) |
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12.2.3 Cost-Benefit Considerations |
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410 | (3) |
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413 | (2) |
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415 | (2) |
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13 Dynamic Event Tree Analysis |
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417 | (26) |
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13.1 Basic Features of Dynamic Event Tree Analysis |
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418 | (3) |
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13.2 Continuous Event Tree Formulation |
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421 | (5) |
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13.2.1 Derivation of the Stochastic Balance Equation |
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421 | (2) |
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13.2.2 Integral Form of the Stochastic Balance Equation |
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423 | (2) |
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13.2.3 Numerical Solution of the Stochastic Balance Equation |
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425 | (1) |
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13.3 Cell-to-Cell Mapping for Parameter Estimation |
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426 | (8) |
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13.3.1 Derivation of the Bayesian Recursive Relationship |
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427 | (3) |
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13.3.2 CCM Technique for Dynamic Event Tree Construction |
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430 | (4) |
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13.4 Diagnosis of Component Degradations |
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434 | (9) |
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13.4.1 Bayesian Framework for Component Diagnostics |
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434 | (3) |
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13.4.2 Implementation of the Probabilistic Diagnostic Algorithm |
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437 | (4) |
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441 | (1) |
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442 | (1) |
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Appendix A Reactor Radiological Sources |
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443 | (6) |
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A.1 Fission Product Inventory and Decay Heat |
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443 | (3) |
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A.2 Health Effects of Radiation Exposure |
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446 | (3) |
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448 | (1) |
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Appendix B Some Special Mathematical Functions |
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449 | (4) |
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449 | (2) |
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451 | (2) |
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451 | (2) |
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Appendix C Some Failure Rate Data |
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453 | (4) |
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Appendix D Linear Kalman Filter Algorithm |
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457 | (5) |
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461 | (1) |
Answers to Selected Exercises |
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462 | (5) |
Index |
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467 | |