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Foreword; Preface; Outlines; Acknowledgments; Contents; 1 Introduction; 1.1 Status Quo and Trends of Interconnected Systems; 1.2 Stability Problems of Interconnected Systems; 1.3 WAMS Technology and Its Application in Interconnected Systems; 1.4 Low Frequency Oscillation Analysis Methods; 1.5 Challenges of Wide Area Dynamic Monitoring and Control; References; 2 Theoretical Foundation of Low-Frequency Oscillations; 2.1 The Basic Principles of Low-Frequency Oscillation; 2.1.1 Local Mode; 2.1.2 Inter-Area Mode; 2.2 Techniques Based on System Model; 2.2.1 Linearization of the State Equation.
2.2.2 Calculation of Eigenvalues and Eigenvectors2.2.3 Determination of Oscillation Parameters; 2.2.4 Brief Summary of System Model Analysis Techniques; 2.3 Techniques Based on Measured Information; 2.3.1 Discrete Fourier Transform; 2.3.2 Prony Algorithm and Multi-Prony; 2.3.3 Wavelet Transform and Its Improvements; 2.3.4 Hilbert
Huang Transform; 2.4 Summary; References; 3 Oscillatory Parameters Computation Based on Improved HHT; 3.1 Introduction of Improved Empirical Mode Decomposition (EMD); 3.1.1 The Selection of Stop Criterion for Sifting in EMD.
3.1.2 End Effects and Extrema Symmetrical Extension3.1.3 Mode-Mixing and Frequency Heterodyne Technique (FHT); 3.1.4 The Improved EMD Based on ESE and FHT; 3.2 Time and Frequency Analysis of Intrinsic Mode Function; 3.3 Normalized Hilbert Transform (NHT); 3.3.1 Decompose the IMF into AM and FM Parts; 3.3.2 Calculation of the Instantaneous Frequency; 3.3.3 Calculation of the Instantaneous Amplitude and Damping Ratio; 3.4 The Flowchart of the Improved HHT; 3.5 Summary; References; 4 Oscillation Model Identification Based on Nonlinear Hybrid Method (NHM).
4.1 Identification of Dominant Oscillation Mode4.2 The Processing of Oscillation Mode Identification; 4.2.1 Calculation of the Absolute Phase (AP) and Relative Phase (RP) of IMF; 4.2.2 Determination of Node Contribution Factor (NCF); 4.2.3 Computation of Approximate Mode Shape (AMS); 4.2.4 Coherency of the Measured Signals; 4.2.5 Flowchart of the Nonlinear Hybrid Method (NHM); 4.3 Study Case; 4.4 Summary; References; 5 Identification of Dominant Complex Orthogonal Mode (COM); 5.1 Introduction of Spatial and Temporal Behaviors of Oscillation Mode.
5.2 Construction of the Complex Ensemble Measurement Matrix5.3 Implementations of Complex Orthogonal Decomposition (COD); 5.3.1 Complex Eigenvalues Decomposition (C-ED); 5.3.2 Complex Singular Value Decomposition (C-SVD); 5.3.3 Augmented Matrix Decomposition (AMD); 5.3.4 Definition of Relevant COMs; 5.4 Extraction of the Propagating Features; 5.4.1 Spatial Energy Distribution; 5.4.2 Temporal Dynamic Characteristics; 5.4.3 Energy Contribution Factor (ECF); 5.5 The Flowchart of Proposed COD; 5.6 Study Case; 5.6.1 Description of Sliding Window.
2.2.2 Calculation of Eigenvalues and Eigenvectors2.2.3 Determination of Oscillation Parameters; 2.2.4 Brief Summary of System Model Analysis Techniques; 2.3 Techniques Based on Measured Information; 2.3.1 Discrete Fourier Transform; 2.3.2 Prony Algorithm and Multi-Prony; 2.3.3 Wavelet Transform and Its Improvements; 2.3.4 Hilbert
Huang Transform; 2.4 Summary; References; 3 Oscillatory Parameters Computation Based on Improved HHT; 3.1 Introduction of Improved Empirical Mode Decomposition (EMD); 3.1.1 The Selection of Stop Criterion for Sifting in EMD.
3.1.2 End Effects and Extrema Symmetrical Extension3.1.3 Mode-Mixing and Frequency Heterodyne Technique (FHT); 3.1.4 The Improved EMD Based on ESE and FHT; 3.2 Time and Frequency Analysis of Intrinsic Mode Function; 3.3 Normalized Hilbert Transform (NHT); 3.3.1 Decompose the IMF into AM and FM Parts; 3.3.2 Calculation of the Instantaneous Frequency; 3.3.3 Calculation of the Instantaneous Amplitude and Damping Ratio; 3.4 The Flowchart of the Improved HHT; 3.5 Summary; References; 4 Oscillation Model Identification Based on Nonlinear Hybrid Method (NHM).
4.1 Identification of Dominant Oscillation Mode4.2 The Processing of Oscillation Mode Identification; 4.2.1 Calculation of the Absolute Phase (AP) and Relative Phase (RP) of IMF; 4.2.2 Determination of Node Contribution Factor (NCF); 4.2.3 Computation of Approximate Mode Shape (AMS); 4.2.4 Coherency of the Measured Signals; 4.2.5 Flowchart of the Nonlinear Hybrid Method (NHM); 4.3 Study Case; 4.4 Summary; References; 5 Identification of Dominant Complex Orthogonal Mode (COM); 5.1 Introduction of Spatial and Temporal Behaviors of Oscillation Mode.
5.2 Construction of the Complex Ensemble Measurement Matrix5.3 Implementations of Complex Orthogonal Decomposition (COD); 5.3.1 Complex Eigenvalues Decomposition (C-ED); 5.3.2 Complex Singular Value Decomposition (C-SVD); 5.3.3 Augmented Matrix Decomposition (AMD); 5.3.4 Definition of Relevant COMs; 5.4 Extraction of the Propagating Features; 5.4.1 Spatial Energy Distribution; 5.4.2 Temporal Dynamic Characteristics; 5.4.3 Energy Contribution Factor (ECF); 5.5 The Flowchart of Proposed COD; 5.6 Study Case; 5.6.1 Description of Sliding Window.