Power Systems Analysis

  1. Unsymmetrical Fault Analysis
    1. Symmetrical Components
      1. Definition of Sequence Components
        1. Positive Sequence
          1. Definition and Properties
            1. Physical Significance
            2. Negative Sequence
              1. Definition and Properties
                1. Physical Significance
                2. Zero Sequence
                  1. Definition and Properties
                    1. Physical Significance
                  2. Mathematical Transformation
                    1. Transformation Matrix
                      1. Forward Transformation
                        1. Inverse Transformation
                        2. Synthesis of Unbalanced Phasors from Symmetrical Components
                          1. Reconstruction Formulas
                            1. Phase Sequence Considerations
                            2. Power in Symmetrical Components
                              1. Power Calculation Methods
                                1. Sequence Power Components
                              2. Sequence Networks
                                1. Sequence Impedances of System Components
                                  1. Synchronous Generators
                                    1. Positive Sequence Impedance
                                      1. Negative Sequence Impedance
                                        1. Zero Sequence Impedance
                                        2. Transformers
                                          1. Connection Effects on Sequence Impedances
                                            1. Wye-Grounded Transformers
                                              1. Delta-Connected Transformers
                                              2. Transmission Lines
                                                1. Sequence Impedance Calculations
                                                  1. Transposed vs Untransposed Lines
                                                  2. Loads
                                                    1. Sequence Impedance Models
                                                      1. Load Type Effects
                                                    2. Construction of Sequence Networks
                                                      1. Positive Sequence Network
                                                        1. Negative Sequence Network
                                                          1. Zero Sequence Network
                                                          2. Interconnection of Sequence Networks
                                                            1. Series Connections
                                                              1. Parallel Connections
                                                                1. Network Interconnection Rules
                                                              2. Analysis of Unsymmetrical Faults
                                                                1. Single Line-to-Ground Fault
                                                                  1. Network Interconnection for SLG Fault
                                                                    1. Series Connection of Sequence Networks
                                                                      1. Boundary Conditions
                                                                      2. Fault Current Calculation
                                                                        1. Sequence Current Calculation
                                                                          1. Phase Current Calculation
                                                                        2. Line-to-Line Fault
                                                                          1. Network Interconnection for LL Fault
                                                                            1. Parallel Connection of Negative and Positive Sequences
                                                                              1. Boundary Conditions
                                                                              2. Fault Current Calculation
                                                                                1. Sequence Current Calculation
                                                                                  1. Phase Current Calculation
                                                                                2. Double Line-to-Ground Fault
                                                                                  1. Network Interconnection for DLG Fault
                                                                                    1. Complex Network Interconnection
                                                                                      1. Boundary Conditions
                                                                                      2. Fault Current Calculation
                                                                                        1. Sequence Current Calculation
                                                                                          1. Phase Current Calculation
                                                                                        2. Comparison of Fault Types
                                                                                          1. Fault Current Magnitudes
                                                                                            1. Fault Current Distribution
                                                                                              1. System Impact Comparison