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1 Chapter 2Table 2.1 Comparison of two slowest modes for original model and equivalent m...Table 2.2 Comparison of first swing amplitudes.Table 2.3 Sensitivity of virtual reactances to voltage variations.Table 2.4 Comparison of modal analysis results.Table 2.5 Comparison of frequency dynamics using the washout filter and propo...Table 2.6 Computational burden of different bus frequency estimators.Table 2.7 Computational burden of different bus frequency estimators.Table 2.8 Uncertainty analysis of the equivalencing.

2 Chapter 3Table 3.1 Frequency dynamics error for NYNE test system under 5.6% penetratio...Table 3.2 Frequency dynamics error for NYNE test system under 8% penetration ...Table 3.3 Maximum phase angle difference in deg.Table 3.4 Minimum permissible rotational inertia in response to tripping G14.Table 3.5 Maximum penetration level for 16‐machine test system.Table 3.6 Maximum inertia reduction for 50‐machine test system.Table 3.7 Critical modes of the base system.Table 3.8 Critical mode detrimentally affected by high MGs.Table 3.9 Eigenvalue sensitivity analysis in the 20% MGs penetration.

3 Chapter 4Table 4.1 Economical parameters related to the optimization problem [42, 43].Table 4.2 Technical parameters related to the optimization problem [41].Table 4.3 Optimization results in three‐area system.Table 4.4 Modal analysis of the systems with virtual inertia.Table 4.5 Optimization results in two‐area system.Table 4.6 Frequency indicators of two‐area system before and after the applic...Table 4.7 Transients stability assessment.Table 4.8 Optimization results in NYNE test system.Table 4.9 Optimization results in New England system.Table 4.10 Sensitivity analysis.Table 4.11 Critical modes of the base system.

4 Chapter 5Table 5.1 The Markov clustering algorithm.Table 5.2 Short‐circuit levels (MVA) for the 400‐kV transmission network.Table 5.3 The largest attenuation valuesαij computed using (5.4). Base o...Table 5.4 Candidate pilot buses selected using the information from electrica...Table 5.5 Bus pilot nodes selected from the identification of reactive power ...Table 5.6 Selected system measurements.Table 5.7 Contingency scenarios selected for analysis.Table 5.8 Clustering of bus voltage signals usingc‐means.Table 5.9 Top 10 (unnormalized) entries of the voltage‐based DMD eigenvector ...Table 5.10 The five largest interaction coefficientsmij computed using (5.5) ...

5 Chapter 6Table 6.1 Comparison of maximum penetration level for NYNE test system with a...Table 6.2 Required ESS capacity to enable high penetration of MG.

6 Chapter 7Table 7.1 Hankel‐based Prony analysis algorithm.Table 7.2 Krylov‐based DMD algorithm.Table 7.3 Load‐flow data.Table 7.4 Transmission line data.Table 7.5 Transformer data.Table 7.6 Electromechanical modes of the system.Table 7.7 Electromechanical modes of the system (Case B with a wind farm at b...Table 7.8 Electromechanical modes of the system (Case C with a WF farm at bus...Table 7.9 Electromechanical modes of the system (Case D with wind farms at bu...Table 7.10 Multisignal Prony analysis for speed deviations and generator acti...Table 7.11 DMD analysis of generator bus frequency deviations.Table 7.12 Voltage‐based mode shape of the interarea mode at 1.35 Hz extracte...Table 7.13 Clusters determined fromc‐means analysis of generator bus frequenc...Table 7.14 Characteristics of DFIGs used in the study.Table 7.15 Slowest interarea modes of the system.Table 7.16 Contingency scenarios selected for the study.Table 7.17 Frequencies and damping extracted from generator speed deviations ...Table 7.18 Modal extraction analysis for simulation results in Figure 7.18.Table 7.19 Comparison of Koopman and DMD results for data set 2.

7 Chapter 8Table 8.1 Summary of the main generation in Area 6.Table 8.2 Main characteristics of DFIG WFs in Area 6.Table 8.3 Contingency scenarios selected for the study.Table 8.4 Koopman analysis of rotor speed deviations for different contingenc...Table 8.5 Phase relationships for dominant system generators extracted from g...Table 8.6 The slowest modes of oscillation of the test system (contingency sc...Table 8.7 Prony results for frequency deviation signals in Figure 8.14 follow...Table 8.8 SVC reactive power as a function of WFs’ loading. The voltage contr...Table 8.9 Prony analysis of selected bus voltage magnitudes.

Renewable Integrated Power System Stability and Control

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