Optimal shutdown control of nuclear reactors:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York (u.a.)
Acad. Pr.
1966
|
| Schriftenreihe: | Mathematics in science and engineering.
26. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 155 - 156. - Bibliogr.: S. 157 - 164 |
| Beschreibung: | XIV, 169 S. graph. Darst. |
Internformat
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| 245 | 1 | 0 | |a Optimal shutdown control of nuclear reactors |
| 264 | 1 | |a New York (u.a.) |b Acad. Pr. |c 1966 | |
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Datensatz im Suchindex
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| adam_text | Contents
Preface ix
Chapter 1. Xenon in Nuclear Reactors.
Dynamic Programming I
1.1. Introduction and Historical Review 1
1.2. Xenon Spatial Oscillations 3
1.3. Fission Product Poison Production 4
1.4. Absorption Cross Section of Xenon 6
1.5. Thermal Reactor Xenon Difficulties 7
1.6. Conventional Approaches to Circumvent Xenon 11
1.7. Dynamic Programming 12
1.8. Principle of Optimality and Two Examples 13
Chapter 2. Reactor Poisons.
Dynamic Programming II
2.1. Long Term Fission Product Poisons 21
2.2. Poison Reactivity 23
2.3. Xenon Spatial Oscillations Revisited 24
2.4. Discrete Optimal Control 25
2.5. Averaged Control and Terminal Control 27
2.6. Impact on Linearized Control Theory 30
xi
xii Contents
Chapter 3. Poison Kinetics and Xenon Shutdown.
Dynamic Programming III
3.1. Reactor Poison Kinetics Equations 34
3.2. Immediate Flux Shutdown 39
3.3. Xenon and Samarium after Protracted Shutdown 41
3.4. Xenon Minimum and Minimax Problem
Statements 43
3.5. Constraints 44
3.6. Dynamic Programming. Absolute Value and
Minimax Criteria 47
Chapter 4. The Maximum Principle
4.1. Introduction 52
4.2. Two Examples 56
4.3. Bang Bang Control 59
4.4. Continuous and Bang Bang Control 61
4.5. Optimal Orbital Rendezvous Control 63
4.6. Simplified Xenon Shutdown Control 64
4.7. The Two Point Boundary Value Problem 67
Chapter 5. Minimum and Minimax Xenon Shutdown
5.1. Mathematical Restatement of Optimal Xenon
Shutdown 69
5.2. Mathematical Restatement of Constraints 71
5.3. Dynamic Programming Functional Equation 73
5.4. Derivation of Bellman s Equation 75
5.5. Bang Bang Control Dilemma 77
5.6. Dynamic Programming versus
Maximum Principle Optimal Shutdown Solutions 80
Contents xiii
Chapter 6. Computational Aspects
6.1. Introduction and Calculation of Fk Tables 87
6.2. The Xenon Override Constraint 90
6.3. DYNPROG and COAST Input Data Format 91
6.A. Appendix to Chapter 6 93
Chapter 7. Experimental Verification
7.1. Introduction and IRR 1 Reactor Description 102
7.2. Immediate Shutdown of IRR 1 to Zero Flux 103
7.3. Shutdown to Nonzero Power Levels 107
7.4. Xenon and Iodine Buildup and Decay 109
7.5. Experimental Results 115
7.A. Appendix to Chapter 7 118
Chapter 8. Results and Conclusions
8.1. Introduction and Xenon Unconstrained
Extremals 121
8.2. Xenon Constrained Extremals 124
8.3. Interdependence of Flux and Xenon Constraints 126
8.4. Two Types of Optimal Shutdown Payoffs 127
8.5. Short Allowable Shutdown Durations 129
8.6. Strongly Limited Xenon Override Shutdown 130
8.7. Conclusions of Experimental Investigation 136
Chapter 9. Summary and Equivalences
9.1. Reprise 140
9.2. Equivalence between the Optimality Principle
and the Maximum Principle 143
xiv Contents
9.3. Comparison of Optimal Shutdown Criteria 147
9.4. Other Equivalences 149
9.5. Higher Order System Formulations 152
References 155
Bibliography
Document Glossary 157
Xenon Bibliography 158
Index 165
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| indexdate | 2024-07-09T15:42:28Z |
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| language | English |
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| physical | XIV, 169 S. graph. Darst. |
| publishDate | 1966 |
| publishDateSearch | 1966 |
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| publisher | Acad. Pr. |
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| series | Mathematics in science and engineering. |
| series2 | Mathematics in science and engineering. |
| spelling | Ash, Milton S. Verfasser aut Optimal shutdown control of nuclear reactors New York (u.a.) Acad. Pr. 1966 XIV, 169 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematics in science and engineering. 26. Literaturverz. S. 155 - 156. - Bibliogr.: S. 157 - 164 Nuclear reactors Mathematics in science and engineering. 26. (DE-604)BV000001196 26. HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001466804&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ash, Milton S. Optimal shutdown control of nuclear reactors Mathematics in science and engineering. Nuclear reactors |
| title | Optimal shutdown control of nuclear reactors |
| title_auth | Optimal shutdown control of nuclear reactors |
| title_exact_search | Optimal shutdown control of nuclear reactors |
| title_full | Optimal shutdown control of nuclear reactors |
| title_fullStr | Optimal shutdown control of nuclear reactors |
| title_full_unstemmed | Optimal shutdown control of nuclear reactors |
| title_short | Optimal shutdown control of nuclear reactors |
| title_sort | optimal shutdown control of nuclear reactors |
| topic | Nuclear reactors |
| topic_facet | Nuclear reactors |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001466804&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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