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Reliability Assessment of Electrical Power Systems Using Monte Carlo Methods
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Table of Contents

1 Introduction.- 2 Basic Concepts of Power System Reliability Evaluation.- 3 Elements Of Monte Carlo Methods.- 4 Generating System Adequacy Assessment.- 5 Composite System Adequacy Assessment.- 6 Distribution System and Station Adequacy Assessment.- 7 Reliability Cost/Worth Assessment.- Appendix A Reliability Test Systems.- A.1. IEEE Reliability Test System (IEEE RTS).- A.1.1. Load Model.- A.1.2. Generating System.- A.1.3. Transmission System.- A.1.4. Additional Data.- A.2. Roy Billinton Test System (RBTS).- A.2.1. Brief Description of the RBTS.- A.2.2. Load Model.- A.2.3. Generating System.- A.2.4. Transmission System.- A.2.5. Station Data.- A.2.6. Reliability Worth Assessment Data.- A.3. References.- Appendix B Elements of Probability and Statistics.- B.1. Probability Concept and Calculation Rules.- B.1.1. Probability Concept.- B.1.2. Probability Calculation Rules.- B.2. Probability Distributions of Random Variables.- B.2.1. Probability Distribution Function and Density Function.- B.2.2. Important Distributions in Reliability Evaluation.- B.3. Numerical Characteristics of Random Variables.- B.3.1. Expectation and Variance.- B.3.2. Covariance and Correlation Function.- B.4. Limit Theorems.- B.4.1. Law of Large Numbers.- B.4.2. Central Limit Theorem.- B.5. Parameter Estimation.- B.5.1. Basic Definitions.- B.5.2. Sample Mean and Sample Variance.- B.6. References.- Appendix C Power System Analysis Techniques.- C.1. AC Load Flow Models.- C.1.1. Load Flow Equations.- C.1.2. Newton-Raphson Model.- C.1.3. Fast Decoupled Model.- C.2. DC Load Flow Models.- C.2.1. Basic Equations.- C.2.2. Relationship between Power Injections and Line Flows.- C.3. Optimal Power Flow.- C.4. Contingency Analysis.- C.5. References.- Appendix D Optimization Techniques.- D.1. Linear Programming.- D.1.1. Basic Concepts.- D.1.2. Generalized Simplex Method.- D.1.3. Duality Principle.- D.1.4. Dual Simplex Method.- D.1.5. Linear Programming Relaxation Technique.- D.2. Maximum Flow Method.- D.2.1. Basic Concepts.- D.2.2. Maximum Flow Problem.- D.3. References.

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