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1 An Overview of Virtual Inertia and Its Control |
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1 | (12) |
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1 | (3) |
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1.2 Overview on Virtual Inertia |
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4 | (2) |
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1.3 Literature Review on Virtual Inertia |
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6 | (2) |
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8 | (1) |
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9 | (4) |
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2 Fundamental Concepts of Inertia Power Compensation and Frequency Control |
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13 | (48) |
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2.1 Fundamental Frequency Regulation |
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13 | (3) |
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2.2 Inertia Power Compensation |
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16 | (5) |
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2.2.1 Calculation of Inertia Constant |
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19 | (1) |
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2.2.2 Minimum Inertia Levels |
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19 | (2) |
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2.3 Primary and Secondary Control |
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21 | (3) |
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2.4 Structure of Frequency Response Model |
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24 | (4) |
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2.5 Frequency Regulation in a Single-Area Power System |
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28 | (4) |
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2.6 Frequency Regulation in Interconnected Power Systems |
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32 | (4) |
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2.7 Analysis of Steady-State Frequency Response |
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36 | (6) |
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2.8 Participation Factor for Frequency Control |
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42 | (1) |
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2.9 Physical Constraints for Frequency Control |
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43 | (3) |
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2.9.1 Governor Dead Band and Generation Rate |
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43 | (1) |
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44 | (2) |
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2.10 Generation Droop Characteristics |
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46 | (4) |
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50 | (4) |
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2.11.1 Frequency Operating Standards |
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53 | (1) |
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54 | (3) |
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57 | (4) |
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3 Virtual Inertia Synthesis for a Single-Area Power System |
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61 | (30) |
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3.1 Fundamental Virtual Inertia Synthesis and Control |
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61 | (5) |
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3.2 Droop Characteristics of Virtual Inertia Control |
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66 | (2) |
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3.3 Frequency Regulation for Virtual Inertia Synthesis |
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68 | (2) |
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3.4 Frequency Response Model for Virtual Inertia Control |
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70 | (1) |
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3.5 Frequency Analysis for Virtual Inertia Control |
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71 | (3) |
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3.6 State-Space Modeling of a Single Area Power System |
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74 | (2) |
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76 | (9) |
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3.7.1 Effect of Virtual Inertia Control Droop |
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81 | (1) |
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3.7.2 Effect of Virtual Inertia Constant |
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82 | (1) |
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3.7.3 Effect of Virtual Damping |
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83 | (1) |
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3.7.4 Effect of Time Delay |
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84 | (1) |
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85 | (3) |
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88 | (3) |
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4 Multiple-Virtual Inertia Synthesis for Interconnected Systems |
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91 | (20) |
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4.1 Introduction to Interconnected Systems |
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91 | (2) |
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4.2 Modeling of Multiple-Virtual Inertia Control |
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93 | (4) |
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4.3 State-Space Modeling of Interconnected Systems |
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97 | (2) |
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4.4 Multiple Virtual Inertia Control Droops |
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99 | (3) |
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4.4.1 Sensitivity Analysis for Multiple Inertia Control Units |
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100 | (2) |
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102 | (6) |
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4.5.1 Efficacy of Multiple-Virtual Inertia Control |
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102 | (1) |
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4.5.2 Stability Analysis Under Continuous Disturbances |
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103 | (5) |
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108 | (1) |
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109 | (2) |
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5 Application of PI/PID Control for Virtual Inertia Synthesis |
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111 | (30) |
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5.1 Introduction to PI/PID Control |
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111 | (2) |
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5.2 Fundamental Feedback Control |
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113 | (1) |
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5.3 Actions of PI/PID Control |
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114 | (3) |
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5.3.1 Proportional Action |
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114 | (1) |
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115 | (1) |
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116 | (1) |
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5.4 Structures of PI/PID Control |
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117 | (3) |
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5.4.1 Modeling of PI Controller |
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117 | (1) |
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5.4.2 Modeling of PID Controller |
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117 | (3) |
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5.5 Tuning Rules for PI/PID Control |
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120 | (7) |
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120 | (2) |
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122 | (5) |
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5.6 Modeling of PI/PID-Based Virtual Inertia Control |
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127 | (2) |
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5.7 MATLAB-Based PI/PID Tuning Approach |
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129 | (6) |
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5.7.1 Optimal PI Control Gains |
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130 | (2) |
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5.7.2 Optimal PID Control Gains |
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132 | (3) |
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135 | (3) |
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138 | (1) |
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139 | (2) |
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6 Model Predictive Control for Virtual Inertia Synthesis |
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141 | (26) |
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6.1 Introduction to Model Predictive Control |
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141 | (3) |
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6.2 Fundamental MPC Strategy |
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144 | (3) |
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147 | (1) |
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148 | (1) |
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6.5 MPC-Based Virtual Inertia Control |
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148 | (2) |
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150 | (5) |
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155 | (9) |
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6.7.1 Efficacy of MPC-Based Virtual Inertia Control |
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155 | (2) |
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6.7.2 Robustness Against Inertia and Damping Reduction |
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157 | (2) |
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6.7.3 Robustness Against Time Delay |
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159 | (1) |
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6.7.4 Robustness Against High Penetration of Renewables |
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160 | (4) |
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164 | (1) |
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165 | (2) |
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7 Fuzzy Logic Control for Virtual Inertia Synthesis |
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167 | (36) |
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7.1 Introduction to Fuzzy Logic Control |
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168 | (2) |
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7.2 Fundamental Fuzzy Logic |
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170 | (11) |
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170 | (2) |
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7.2.2 Shapes of Fuzzy Set |
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172 | (4) |
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176 | (1) |
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177 | (1) |
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7.2.5 Fuzzy Inference System |
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178 | (2) |
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180 | (1) |
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7.3 Fuzzy-Based Virtual Inertia Synthesis |
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181 | (5) |
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7.4 MATLAB-Based Fuzzy Logic Control |
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186 | (1) |
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187 | (11) |
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7.5.1 Effect of Low RESs Penetration |
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188 | (4) |
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7.5.2 Effect of High RESs Penetration |
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192 | (2) |
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7.5.3 Mismatch Parameters of Primary/Secondary Control |
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194 | (4) |
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198 | (1) |
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198 | (5) |
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8 Synthesis of Robust Virtual Inertia Control |
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203 | (24) |
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8.1 Introduction to Robust Virtual Inertia Control |
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203 | (3) |
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8.2 H∞ Robust Control Theory |
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206 | (3) |
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8.3 Design of H∞ Robust Virtual Inertia Control |
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209 | (1) |
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8.4 Modeling of Uncertainty and Disturbance |
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209 | (3) |
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8.4.1 H∞ Controller Design |
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211 | (1) |
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8.5 Closed-Loop Nominal Stability and Performance |
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212 | (2) |
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8.5.1 Closed-Loop Robust Stability and Performance |
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212 | (2) |
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8.6 Order Reduction of H∞ Controller |
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214 | (1) |
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215 | (9) |
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8.7.1 Effect of Abrupt Change |
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216 | (2) |
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8.7.2 High Penetration of RESs and Loads |
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218 | (6) |
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224 | (1) |
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224 | (3) |
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9 Optimization of Virtual Inertia Control Considering System Frequency Protection Scheme |
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227 | (22) |
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227 | (2) |
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9.2 Particle Swarm Optimization |
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229 | (2) |
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9.3 Underfrequency Load Shedding (UFLS) |
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231 | (2) |
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9.4 Design of Virtual Inertia Control Optimization Considering System Frequency Protection |
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233 | (2) |
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235 | (3) |
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235 | (1) |
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9.5.2 Virtual Inertia Control Model |
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236 | (2) |
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238 | (7) |
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9.6.1 Default High Inertia Condition and the Result of Optimization |
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238 | (2) |
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9.6.2 Low Inertia Condition |
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240 | (4) |
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9.6.3 Impact on the Existing Underfrequency Load Shedding (UFLS) Scheme |
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244 | (1) |
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245 | (1) |
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245 | (4) |
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10 Technical Challenges and Further Research in Virtual Inertia Control |
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249 | (8) |
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249 | (1) |
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10.2 Main Technical Aspects of Virtual Inertia Control |
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250 | (3) |
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10.2.1 Improvement in Modeling, Aggregation, and Control of Virtual Inertia Control |
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250 | (1) |
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10.2.2 Optimization of Virtual Inertia Control |
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251 | (1) |
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10.2.3 System Inertia Estimation |
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252 | (1) |
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10.3 Supporting Aspects for the Integration of Virtual Inertia Control Systems |
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253 | (1) |
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10.3.1 Economic Valuation for Inertia Service |
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253 | (1) |
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10.3.2 Standard and Regulation |
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254 | (1) |
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254 | (1) |
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255 | (2) |
Appendix |
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257 | |