Power Systems Analysis and Operation

  1. Power System Stability Analysis
    1. Stability Classification
      1. Rotor Angle Stability
        1. Small-Signal Stability
          1. Large-Disturbance Stability
            1. Transient Stability
            2. Voltage Stability
              1. Large-Disturbance Voltage Stability
                1. Small-Disturbance Voltage Stability
                2. Frequency Stability
                  1. Short-Term Frequency Stability
                    1. Long-Term Frequency Stability
                  2. Rotor Angle Stability
                    1. Swing Equation Development
                      1. Mechanical Power Input
                        1. Electrical Power Output
                          1. Inertia Constant
                            1. Damping Effects
                            2. Power-Angle Relationships
                              1. Steady-State Power-Angle Curve
                                1. Stability Margin
                                  1. Synchronizing Power Coefficient
                                  2. Small-Signal Stability
                                    1. Linearized Analysis
                                      1. Eigenvalue Analysis
                                        1. Participation Factors
                                        2. Transient Stability
                                          1. Equal Area Criterion
                                            1. Critical Clearing Time
                                              1. Critical Clearing Angle
                                                1. Numerical Integration Methods
                                                  1. Euler Method
                                                    1. Modified Euler Method
                                                      1. Runge-Kutta Methods
                                                    2. Multi-Machine Stability
                                                      1. Coherency Analysis
                                                        1. Dynamic Equivalents
                                                      2. Voltage Stability
                                                        1. Voltage Collapse Mechanisms
                                                          1. Static Voltage Stability
                                                            1. P-V Curves
                                                              1. Q-V Curves
                                                                1. Voltage Stability Margin
                                                                2. Dynamic Voltage Stability
                                                                  1. Load Dynamics
                                                                    1. Generator Dynamics
                                                                      1. OLTC Dynamics
                                                                      2. Voltage Stability Analysis Methods
                                                                        1. Continuation Power Flow
                                                                          1. Sensitivity Analysis
                                                                        2. Frequency Stability
                                                                          1. Frequency Response Characteristics
                                                                            1. Primary Frequency Control
                                                                              1. Secondary Frequency Control
                                                                                1. Load-Frequency Dynamics
                                                                                  1. Under-Frequency Load Shedding