Description
Book Synopsis1. Real-Time Modeling Of Power Networks.- 1.1 Security Concepts.- 1.2 Network Model Builder.- 1.3 Conventional State Estimation.- 1.4 Economy-Security Control.- 1.5 Generalized State Estimation.- 1.6 Historical Notes and References.- References.- 2. Least-Squares And Minimum Norm Problems.- 2.1 Introduction.- 2.2 Linear Least-Squares Problem.- 2.3 Linear Minimum-Norm Problem.- 2.4 Observability and Controllability.- 2.5 Geometric Interpretation.- 2.6 Overdetermined Nonlinear Models.- 2.7 Historical Notes and References.- 2.8 Problems.- References.- 3. DC State Estimator.- 3.1 Overview of the DC State Estimator.- 3.2 State Variables.- 3.3 Measurement Model.- 3.4 Solving the Normal Equation.- 3.5 Phase-Shift Estimation.- 3.6 Parameter Estimation.- 3.7 Physical Level Modeling.- 3.8 Historical Notes and References.- 3.9 Problems.- References.- 4. Power Flow Equations.- 4.1 Network Branch Model.- 4.2 Active and Reactive Power Flows.- 4.3 Nodal Formulation of the Network Equations.- 4.4 Basic Power Flow Problem.- 4.5 Newton Raphson Method.- 4.6 P?-QV Decoupling.- 4.7 Linearization.- 4.8 Matrix Formulation.- 4.9 DC Power Flow Model.- 4.10 Historical Notes and References.- 4.11 Problems.- References.- 5. Network Reduction And Gauss Elimination.- 5.1 Bus Admittance Matrix.- 5.2 Network Reduction and Expansion.- 5.3 LDU Decomposition.- 5.4 Using LDU Factors to Solve Linear Systems.- 5.5 Path Finding.- 5.6 Pivot Ordering to Preserve Sparsity.- 5.7 MDML and MLMD Ordering Schemes.- 5.8 Blocked Formulation of Newton Power Flow.- 5.9 Gain Matrix.- 5.10 Factorization of Rectangular Matrices.- 5.11 Matrix Inversion Lemma.- 5.12 Historical Notes and References.- 5.13 Problems.- References.- 6. Network Topology Processing.- 6.1 Conventional Topology Processing.- 6.2 Generalized TopologyProcessing.- 6.3 Network Reduction.- 6.4 Historical Notes and References.- 6.5 Problems.- References.- 7. Observability Analysis.- 7.1 Bus/Branch Network Model.- 7.2 Bus-Section/Switching-Device Network Model.- 7.3 Measurement Addition to Improve Observability.- 7.4 Historical Notes and References.- 7.5 Problems.- References.- 8. Basic Techniques for Bad Data Processing.- 8.1 Review of the DC State Estimator.- 8.2 Covariance Matrices.- 8.3 Normalized Residuals.- 8.4 Hypotheses Testing.- 8.5 Historical Notes and References.- 8.6 Problems.- References.- 9. Multiple Bad Data Processing Techniques.- 9.1 Estimation Residuals.- 9.2 Multiple Normalized Residuals.- 9.3 Hypotheses Testing.- 9.4 Testing Equality Constraint Hypotheses.- 9.5 Strategies for Processing Interacting Bad Data.- 9.6 Robust Estimators.- 9.7 Historical Notes and References.- 9.8 Problems.- References.- 10. AC State Estimator.- 10.1 Review of the Problem Formulation.- 10.2 Flow Measurements.- 10.3 Bus Injection Measurement.- 10.4 Historical Notes and References.- 10.5 Problems.- References.- 11. Estimation Based on Multiple Scans of Measurements.- 11.1 State Estimation.- 11.2 Parameter Estimation.- 11.3 Historical Notes and References.- 11.4 Problems.- References.- 12. Fast Decoupled State Estimator.- 12.1 Decoupled Solution of Linear System of Equations.- 12.2 Fast Decoupled Power Flow.- 12.3 Decoupled Solution of Overdetermined Systems.- 12.4 Fast Decoupled State Estimator.- 12.5 Historical Notes and References.- 12.6 Problems.- References.- 13. Numerically Robust State Estimators.- 13.1 Normal Equation.- 13.2 Sparse Tableau Formulation.- 13.3 Peters Wilkinson Method.- 13.4 Blocked Sparse Tableau.- 13.5 Mixed Pivoting for Indefinite Matrices.- 13.6 Orthogonal Transformation Approach.- 13.7 Historical Notes and References.- 13.8 Problems.- References.- Appendices.- A-Statistical Properties of Estimated Quantities.- A.1 Distribution of State Estimate.- A.2 Rank of Weighted Sensitivity Matrix.- A.2.1 Eigenvalues and Eigenvectors.- A.2.2 Weighted Sensitivity Matrix.- A.2.3 Trace of Covariance Matrix of Measurement Estimates.- A.2.4 Diagonalization of the Weighted Sensitivity Matrix.- A.3.2 Orthogonal Transformation.- A.3.3 Covariance Matrix of Transformed Residuals.- A.4 Testing Equality Constraint Hypotheses.- A.5 Historical Notes and References.- References.- B-Givens Rotation.- B.1 Orthogonal Matrices.- B.1.1 2x2 Orthogonal Matrices.- B.1.2 Rotations and Reflections.- B.2 Givens Rotations.- B.2.1 Standard Givens Rotations.- B.2.2 Fast Givens Rotations.- B.2.3 Triangular Factorization.- B.2.4 The 2-multiplication Algorithm.- B.3 Historical Notes and References.- References.
Table of ContentsAcknowledgments. Foreword. 1. Real-Time Modeling of Power Networks. 2. Least-Squares and Minimum Norm Problems. 3. DC State Estimator. 4. Power Flow Equations. 5. Network Reduction and Gauss Elimination. 6. Network Topology Processing. 7. Observability Analysis. 8. Basic Techniques for Bad Data Processing. 9. Multiple Bad Data Processing Techniques. 10. AC State Estimator. 11. Estimation Based on Multiple Scans of Measurements. 12. Fast Decoupled State Estimator. 13. Numerically Robust State Estimators. A: Statistical Properties of Estimated Quantities. B: Givens Rotation. Index.
