Power Systems Analysis and Operation

  1. Power Flow Analysis
    1. Power Flow Problem Formulation
      1. Objectives of Power Flow Studies
        1. Network Equations
          1. Power Balance Equations
            1. Nonlinear Nature of Power Flow
            2. Network Matrices
              1. Bus Admittance Matrix Formation
                1. Formation by Inspection
                  1. Nodal Analysis Approach
                    1. Matrix Properties
                      1. Sparsity Characteristics
                      2. Bus Impedance Matrix
                        1. Formation Methods
                          1. Building Algorithm
                            1. Matrix Inversion Techniques
                          2. Bus Classification
                            1. Slack Bus
                              1. Reference Bus Selection
                                1. Voltage Magnitude and Angle Specification
                                2. Generator Bus
                                  1. PV Bus Characteristics
                                    1. Real Power and Voltage Magnitude Specification
                                    2. Load Bus
                                      1. PQ Bus Characteristics
                                        1. Real and Reactive Power Specification
                                      2. Power Flow Solution Methods
                                        1. Gauss-Seidel Method
                                          1. Algorithm Development
                                            1. Iterative Process
                                              1. Convergence Criteria
                                                1. Acceleration Factors
                                                2. Newton-Raphson Method
                                                  1. Jacobian Matrix Formation
                                                    1. Polar Coordinate Formulation
                                                      1. Rectangular Coordinate Formulation
                                                        1. Convergence Characteristics
                                                          1. Computational Requirements
                                                          2. Fast Decoupled Load Flow
                                                            1. Decoupling Assumptions
                                                              1. Simplified Jacobian Matrices
                                                                1. Algorithm Steps
                                                                  1. Computational Advantages
                                                                2. DC Power Flow
                                                                  1. Linearization Assumptions
                                                                    1. DC Power Flow Equations
                                                                      1. Applications and Limitations
                                                                        1. Sensitivity Analysis
                                                                        2. Power Flow Control
                                                                          1. Voltage Control Methods
                                                                            1. Generator Voltage Control
                                                                              1. Transformer Tap Control
                                                                                1. Shunt Compensation
                                                                                2. Real Power Flow Control
                                                                                  1. Phase-Shifting Transformers
                                                                                    1. Series Compensation
                                                                                    2. Reactive Power Control
                                                                                      1. Shunt Reactors
                                                                                        1. Shunt Capacitors
                                                                                          1. Synchronous Condensers

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                                                                                      2. Power System Modeling and Analysis Tools

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                                                                                      4. Economic Operation and Optimization