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1 FACTS-Devices and Applications |
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1 | (2) |
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2 | (3) |
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5 | (8) |
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6 | (2) |
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8 | (5) |
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1.3 Configurations of FACTS-Devices |
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13 | |
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13 | (1) |
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14 | (1) |
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15 | (3) |
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18 | (1) |
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1.3.2.1 Series Compensation |
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18 | (1) |
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19 | (2) |
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21 | (1) |
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22 | (1) |
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1.3.3 Shunt and Series Devices |
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23 | (1) |
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1.3.3.1 Dynamic Power Flow Controller |
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23 | (2) |
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1.3.3.2 Unified Power Flow Controller |
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25 | (1) |
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1.3.3.3 Interline Power Flow Controller |
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26 | (1) |
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1.3.3.4 Generalized Unified Power Flow Controller |
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27 | (1) |
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1.3.4 Back-to-Back Devices |
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28 | (1) |
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29 | |
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2 Modeling of Multi-Functional Single Converter FACTS in Power Flow Analysis |
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3 | (64) |
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2.1 Power Flow Calculations |
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31 | (1) |
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31 | (1) |
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2.1.2 Classification of Buses |
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32 | (1) |
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2.1.3 Newton-Raphson Power Flow in Polar Coordinates |
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32 | (1) |
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2.2 Modeling of Multi-Functional STATCOM |
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32 | (18) |
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2.2.1 Multi-Control Functional Model of STATCOM for Power Flow Analysis |
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33 | (1) |
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2.2.1.1 Operation Principles of the STATCOM |
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33 | (1) |
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2.2.1.2 Power Flow Constraints of the STATCOM |
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34 | (1) |
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2.2.1.3 Multi-Control Functions of the STATCOM |
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35 | (4) |
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2.2.1.4 Voltage and Thermal Constraints of the STATCOM |
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39 | (1) |
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2.2.1.5 External Voltage Constraints |
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40 | (1) |
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2.2.2 Implementation of Multi-Control Functional Model of STATCOM in Newton Power Flow |
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40 | (1) |
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2.2.2.1 Multi-Control Functional Model of STATCOM in Newton Power Flow |
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40 | (1) |
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2.2.2.2 Modeling of Constraint Enforcement in Newton Power Flow |
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41 | (1) |
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2.2.3 Multi-Violated Constraints Enforcement |
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42 | (1) |
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2.2.3.1 Problem of Multi-Violated Constraints Enforcement |
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42 | (1) |
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2.2.3.2 Concepts of Dominant Constraint and Dependent Constraint |
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43 | (1) |
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2.2.3.3 Strategy for Multi-Violated Constraints Enforcement |
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43 | (1) |
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2.2.4 Multiple Solutions of STATCOM with Current Magnitude Control |
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44 | (1) |
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45 | (1) |
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2.2.5.1 Multi-Control Capabilities of STATCOM |
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45 | (3) |
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2.2.5.2 Multi-Violated STATCOM Constraints Enforcement |
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48 | (2) |
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2.3 Modeling of Multi-Control Functional SSSC |
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50 | (12) |
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2.3.1 Multi-Control Functional Model of SSSC for Power Flow Analysis |
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51 | (1) |
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2.3.1.1 Operation Principles of the SSSC |
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51 | (1) |
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2.3.1.2 Equivalent Circuit and Power Flow Constraints of SSSC |
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51 | (2) |
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2.3.1.3 Multi-Control Functions and Constraints of SSSC |
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53 | (1) |
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2.3.1.4 Voltage and Current Constraints of the SSSC |
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54 | (1) |
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2.3.2 Implementation of Multi-Control Functional Model of SSSC in Newton Power Flow |
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55 | (1) |
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2.3.2.1 Multi-Control Functional Model of SSSC in Newton Power Flow |
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55 | (1) |
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2.3.2.2 Enforcement of Voltage and Current Constraints for SSSC |
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56 | (1) |
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2.3.2.3 Initialization of SSSC in Newton Power Flow |
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57 | (1) |
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58 | (1) |
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2.3.3.1 Power Flow, Voltage and Reactance Control by the SSSC |
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58 | (3) |
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2.3.3.2 Enforcement of Voltage and Current Constraint of the SSSC |
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61 | (1) |
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2.4 Modeling of SVC and TCSC in Power Flow Analysis |
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62 | (5) |
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2.4.1 Representation of SVC by STATCOM in Power Flow Analysis |
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62 | (1) |
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2.4.2 Representation of TCSC by SSSC in Power Flow Analysis |
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63 | (1) |
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64 | (3) |
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3 Modeling of Multi-Converter FACTS in Power Flow Analysis |
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67 | (46) |
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3.1 Modeling of Multi-Control Functional UPFC |
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67 | (12) |
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3.1.1 Advanced UPFC Models for Power Flow Analysis |
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68 | (1) |
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3.1.1.1 Operating Principles of UPFC |
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68 | (1) |
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3.1.1.2 Power Flow Constraints of UPFC |
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69 | (1) |
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3.1.1.3 Active Power Balance Constraint of UPFC |
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70 | (1) |
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3.1.1.4 Novel Control Modes of UPFC |
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70 | (5) |
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3.1.2 Implementation of Advanced UPFC Model in Newton Power Flow |
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75 | (1) |
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3.1.2.1 Modeling of UPFC in Newton Power Flow |
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75 | (1) |
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3.1.2.2 Modeling of Voltage and Current Constraints of the UPFC |
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76 | (1) |
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3.1.2.3 Initialization of UPFC Variables in Newton Power Flow |
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76 | (1) |
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77 | (2) |
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3.2 Modeling of Multi-Control Functional IPFC and GUPFC |
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79 | (14) |
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3.2.1 Mathematical Modeling of IPFC in Newton Power Flow under Practical Constraints |
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80 | (1) |
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3.2.1.1 Mathematical Model of the IPFC |
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80 | (3) |
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3.2.1.2 Modeling of IPFC in Newton Power Flow |
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83 | (1) |
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3.2.1.3 Initialization of IPFC Variables in Newton Power Flow |
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84 | (1) |
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3.2.2 Mathematical Modeling of GUPFC in Newton Power Flow under Practical Constraints |
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85 | (1) |
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3.2.2.1 Mathematical Model of GUPFC |
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85 | (3) |
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3.2.2.2 Modeling of the GUPFC in Newton Power Flow |
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88 | (1) |
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3.2.2.3 Initialization of GUPFC Variables in Newton Power Flow |
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89 | (1) |
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89 | (1) |
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3.2.3.1 Initialization of the Power Flow with FACTS-Devices |
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90 | (1) |
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3.2.3.2 Enforcement of Practical Constraints of FACTS |
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91 | (1) |
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3.2.3.3 Enforcement of Practical Constraints of Series Converters |
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92 | (1) |
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3.2.3.4 Enforcement of Practical Constraints of the Shunt Converter |
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92 | (1) |
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3.2.3.5 Enforcement of Series and Shunt Converter Constraints |
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92 | (1) |
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3.3 Multi-Terminal Voltage Source Converter Based HVDC |
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93 | (14) |
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3.3.1 Mathematical Model of M-VSC-HVDC with Converters Co-located in the Same Substation |
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94 | (1) |
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3.3.1.1 Operating Principles of M-VSC-HVDC |
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94 | (1) |
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3.3.1.2 Power Flow Constraints of M-VSC-HVDC |
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95 | (1) |
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3.3.1.3 Active Power Balance of M-VSC-HVDC |
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96 | (1) |
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3.3.1.4 Voltage and Power Flow Control of M-VSC-HVDC |
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96 | (2) |
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3.3.1.5 Voltage and Current Constraints of M-VSC-HVDC |
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98 | (1) |
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3.3.1.6 Modeling of M-VSC-HVDC in Newton Power Flow |
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98 | (1) |
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3.3.1.7 Handling of Internal Voltage and Current Limits of M-VSC-HVDC |
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99 | (1) |
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3.3.1.8 Comparison of M-VSC-HVDC and GUPFC |
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99 | (1) |
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3.3.2 Generalized M-VSC-HVDC Model with Incorporation of DC Network Equation |
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100 | (1) |
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3.3.2.1 Generalized M-VSC-HVDC |
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100 | (1) |
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3.3.2.2 DC Network Equation |
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101 | (1) |
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3.3.2.3 Incorporation of DC Network Equation into Newton Power Flow |
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102 | (1) |
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103 | (1) |
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3.3.3.1 Comparison of the M-VSC-HVDC to the GUPFC |
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103 | (1) |
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3.3.3.2 Power Flow and Voltage Control by M-VSC-HVDC |
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104 | (3) |
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3.4 Handling of Small Impedances of FACTS in Power Flow Analysis |
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107 | (6) |
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3.4.1 Numerical Instability of Voltage Source Converter FACTS Models |
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107 | (1) |
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3.4.2 Impedance Compensation Model |
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108 | (2) |
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110 | (3) |
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4 Modeling of FACTS-Devices in Optimal Power Flow Analysis |
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113 | (44) |
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4.1 Optimal Power Flow Analysis |
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113 | (5) |
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4.1.1 Brief History of Optimal Power Flow |
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113 | (1) |
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4.1.2 Comparison of Optimal Power Flow Techniques |
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114 | (1) |
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114 | (1) |
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4.1.2.2 Linear Programming Methods |
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114 | (1) |
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4.1.2.3 Quadratic Programming Methods |
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115 | (1) |
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115 | (1) |
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4.1.2.5 Interior Point Methods |
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116 | (1) |
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4.1.3 Overview of OPF-Formulation |
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116 | (2) |
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4.2 Nonlinear Interior Point Optimal Power Flow Methods |
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118 | (8) |
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4.2.1 Power Mismatch Equations |
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118 | (1) |
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4.2.2 Transmission Line Limits |
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118 | (1) |
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4.2.3 Formulation of the Nonlinear Interior Point OPF |
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119 | (4) |
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4.2.4 Implementation of the Nonlinear Interior Point OPF |
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123 | (1) |
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4.2.4.1 Eliminating Dual Variables πl, πu of the Inequalities |
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123 | (1) |
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4.2.4.2 Eliminating Generator Variables Pg and Qg |
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124 | (2) |
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4.2.5 Solution Procedure for the Nonlinear Interior Point OPF |
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126 | (1) |
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4.3 Modeling of FACTS in OPF Analysis |
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126 | (13) |
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4.3.1 IPFC and GUPFC in Optimal Voltage and Power Flow Control |
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127 | (1) |
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4.3.2 Operating and Control Constraints of GUPFC |
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127 | (1) |
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4.3.2.1 Power Flow Constraints of GUPFC |
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128 | (2) |
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4.3.2.2 Operating Control Equalities of GUPFC |
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130 | (1) |
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4.3.2.3 Operating Inequalities of GUPFC |
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130 | (1) |
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4.3.3 Incorporation of GUPFC into Nonlinear Interior Point OPF |
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131 | (1) |
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4.3.3.1 Constraints of GUPFC |
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131 | (1) |
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4.3.3.2 Variables of GUPFC |
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131 | (2) |
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4.3.3.3 Augmented Lagrangian Function of GUPFC in Nonlinear Interior OPF |
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133 | (1) |
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4.3.3.4 Newton Equation of Nonlinear Interior OPF with GUPFC |
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134 | (1) |
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4.3.3.5 Implementation of Multi-Configurations and Multi-Control Functions of GUPFC |
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135 | (1) |
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4.3.3.6 Initialization of GUPFC Variables in Nonlinear Interior OPF |
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136 | (1) |
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4.3.4 Modeling of IPFC in Nonlinear Interior Point OPF |
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137 | (2) |
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4.4 Modeling of Multi-Terminal VSC-HVDC in OPF |
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139 | (4) |
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4.4.1 Multi-Terminal VSC-HVDC in Optimal Voltage and Power Flow |
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139 | (1) |
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4.4.2 Operating and Control Constraints of the M-VSC-HVDC |
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140 | (1) |
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4.4.3 Modeling of M-VSC-HVDC in the Nonlinear Interior Point OPF |
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141 | (2) |
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4.5 Comparison of FACTS-Devices with VSC-HVDC |
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143 | (5) |
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4.5.1 Comparison of UPFC with BTB-VSC-HVDC |
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143 | (2) |
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4.5.2 Comparison of GUPFC with M-VSC-HVDC |
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145 | (3) |
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4.6 Appendix: Derivatives of Nonlinear Interior Point OPF with GUPFC |
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148 | (9) |
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4.6.1 First Derivatives of Nonlinear Interior Point OPF |
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148 | (2) |
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4.6.2 Second Derivatives of Nonlinear Interior Point OPF |
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150 | (3) |
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153 | (4) |
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5 Modeling of FACTS in Three-Phase Power Flow and Three-Phase OPF Analysis |
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157 | (56) |
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5.1 Three-Phase Newton Power Flow Methods in Rectangular Coordinates |
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158 | (10) |
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5.1.1 Classification of Buses |
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158 | (1) |
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5.1.2 Representation of Synchronous Machines |
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159 | (1) |
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5.1.3 Power and Voltage Mismatch Equations in Rectangular Coordinates |
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160 | (1) |
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5.1.3.1 Power Mismatch Equations at Network Buses |
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160 | (1) |
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5.1.3.2 Power and Voltage Mismatch Equations of Synchronous Machines |
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161 | (1) |
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5.1.4 Formulation of Newton Equations in Rectangular Coordinates |
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162 | (6) |
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5.2 Three-Phase Newton Power Flow Methods in Polar Coordinates |
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168 | (3) |
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5.2.1 Representation of Generators |
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168 | (1) |
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5.2.2 Power and Voltage Mismatch Equations in Polar Coordinates |
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169 | (1) |
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5.2.2.1 Power Mismatch Equations at Network Buses |
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169 | (1) |
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5.2.2.2 Power and Voltage Mismatch Equations of Synchronous Machines |
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169 | (1) |
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5.2.3 Formulation of Newton Equations in Polar Coordinates |
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170 | (1) |
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5.3 SSSC Modeling in Three-Phase Power Flow in Rectangular Coordinates |
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171 | (16) |
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5.3.1 Three-Phase SSSC Model with Delta/Wye Connected Transformer |
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172 | (1) |
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5.3.1.1 Basic Operation Principles |
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172 | (1) |
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5.3.1.2 Equivalent Circuit of Three-Phase SSSC |
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173 | (1) |
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5.3.1.3 Power Equations of the Three-Phase SSSC |
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174 | (2) |
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5.3.1.4 Three-Phase SSSC Model with Independent Phase Power Control |
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176 | (1) |
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5.3.1.5 Three-Phase SSSC Model with Total Three-Phase Power Control |
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177 | (1) |
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5.3.1.6 Three-Phase SSSC Model with Symmetrical Injected Voltage Control |
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178 | (2) |
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5.3.2 Single-Phase/Three-Phase SSSC Models with Separate Single Phase Transformers |
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180 | (1) |
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5.3.2.1 Basic Operating Principles of Single Phase SSSC |
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180 | (1) |
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5.3.2.2 Equivalent Circuit of Single Phase SSSC |
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180 | (1) |
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5.3.2.3 Single-Phase SSSC |
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181 | (1) |
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5.3.2.4 Three-Phase SSSC Model with Three Separate Single Phase Transformers |
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182 | (1) |
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182 | (1) |
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5.3.3.1 Test Results for the 5-Bus System |
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183 | (3) |
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5.3.3.2 Test Results for the IEEE 118-Bus System |
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186 | (1) |
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5.4 UPFC Modeling in Three-Phase Newton Power Flow in Polar Coordinates |
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187 | (20) |
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5.4.1 Operation Principles of the Three-Phase UPFC |
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188 | (1) |
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5.4.2 Three-Phase Converter Transformer Models |
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189 | (1) |
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5.4.3 Power Flow Constraints of the Three-Phase UPFC |
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190 | (1) |
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5.4.3.1 Power Flow Constraints of the Shunt Converter |
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190 | (2) |
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5.4.3.2 Power Flow Constraints of the Series Converter |
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192 | (2) |
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5.4.3.3 Active Power Balance of the UPFC |
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194 | (1) |
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5.4.4 Symmetrical Components Control Model for Three-Phase UPFC |
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195 | (1) |
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5.4.4.1 PQ Flow Control by the Series Converter |
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195 | (1) |
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5.4.4.2 Voltage Control by the Shunt Converter |
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196 | (1) |
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5.4.4.3 Transformer Models |
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197 | (1) |
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5.4.4.4 Modeling of Three-Phase UPFC in Newton Power Flow |
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197 | (1) |
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5.4.5 General Three-Phase Control Model for Three-Phase UPFC |
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198 | (1) |
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5.4.5.1 PQ Flow Control by the Series Converter |
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198 | (1) |
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5.4.5.2 Voltage Control by the Shunt Converter |
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198 | (1) |
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5.4.5.3 Operating Constraints of the Shunt Transformer |
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198 | (1) |
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5.4.5.4 Transformer Models |
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199 | (1) |
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5.4.5.5 Modeling of Three-Phase UPFC in Newton Power Flow |
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199 | (1) |
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5.4.6 Hybrid Control Model for Three-Phase UPFC |
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200 | (1) |
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5.4.6.1 PQ Flow Control by the Series Converter |
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200 | (1) |
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5.4.6.2 Voltage Control by the Shunt Converter |
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200 | (1) |
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5.4.6.3 Transformer Models |
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201 | (1) |
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5.4.6.4 Modeling of Three-Phase UPFC in the Newton Power Flow |
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201 | (1) |
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202 | (1) |
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5.4.7.1 Results for the 5-Bus System |
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202 | (4) |
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5.4.7.2 Results for the Modified IEEE 118-Bus System |
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206 | (1) |
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5.5 Three-Phase Newton OPF in Polar Coordinates |
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207 | (2) |
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5.6 Appendix A - Definition of Ygi |
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209 | (1) |
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5.7 Appendix B - 5-Bus Test System |
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210 | (3) |
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211 | (2) |
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6 Steady State Power System Voltage Stability Analysis and Control with FACTS |
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213 | (32) |
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6.1 Continuation Power Flow Methods for Steady State Voltage Stability Analysis |
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214 | (9) |
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6.1.1 Formulation of Continuation Power Flow |
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214 | (2) |
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6.1.2 Modeling of Operating Limits of Synchronous Machines |
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216 | (1) |
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6.1.3 Solution Procedure of Continuation Power Flow |
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217 | (1) |
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6.1.4 Modeling of FACTS-Control in Continuation Power Flow |
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218 | (1) |
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218 | (1) |
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6.1.5.1 System Loadability with FACTS-Devices |
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218 | (2) |
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6.1.5.2 Effect of Load Models |
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220 | (2) |
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6.1.5.3 System Transfer Capability with FACTS-Devices |
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222 | (1) |
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6.2 Optimization Methods for Steady State Voltage Stability Analysis |
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223 | (7) |
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6.2.1 Optimization Method for Voltage Stability Limit Determination |
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224 | (1) |
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6.2.2 Optimization Method for Voltage Security Limit Determination |
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225 | (1) |
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6.2.3 Optimization Method for Operating Security Limit Determination |
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225 | (1) |
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6.2.4 Optimization Method for Power Flow Unsolvability |
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226 | (2) |
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228 | (1) |
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6.2.5.1 IEEE 30-Bus System Results |
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228 | (1) |
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6.2.5.2 IEEE 118-Bus System Results |
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229 | (1) |
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6.3 Security Constrained Optimal Power Flow for Transfer Capability Calculations |
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230 | (15) |
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6.3.1 Unified Transfer Capability Computation Method with Security Constraints |
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231 | (2) |
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6.3.2 Solution of Unified Security Constrained Transfer Capability Problem by Nonlinear Interior Point Method |
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233 | (6) |
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6.3.3 Solution Procedure of the Security Constrained Transfer Capability Problem |
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239 | (1) |
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239 | (1) |
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6.3.4.1 IEEE 30-Bus System Results |
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240 | (1) |
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6.3.4.2 Discussion of the Results |
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241 | (2) |
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243 | (2) |
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7 Steady State Voltage Stability of Unbalanced Three-Phase Power Systems |
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245 | (24) |
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7.1 Steady State Unbalanced Three-Phase Power System Voltage Stability |
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245 | (1) |
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7.2 Continuation Three-Phase Power Flow Approach |
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246 | (15) |
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7.2.1 Modeling of Synchronous Machines with Operating Limits |
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246 | (1) |
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7.2.2 Three-Phase Power Flow in Polar Coordinates |
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247 | (2) |
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7.2.3 Formulation of Continuation Three-Phase Power Flow |
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249 | (2) |
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7.2.4 Solution of the Continuation Three-Phase Power Flow |
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251 | (1) |
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7.2.5 Implementation Issues of Continuation Three-Phase Power Flow |
|
|
252 | (1) |
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7.2.5.1 The Structure of Jacobian Matrix |
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|
252 | (1) |
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7.2.5.2 Improvement of Computational Speed |
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|
252 | (1) |
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7.2.5.3 Comparison of Balanced Three-Phase Systems and Single-Phase Systems |
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|
252 | (1) |
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|
253 | (1) |
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7.2.6.1 Results for the 5-Bus System without Line Outages |
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253 | (3) |
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7.2.6.2 Results for the 5-Bus System with Line Outages |
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256 | (2) |
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7.2.6.3 Results for the Modified IEEE 118-Bus System |
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258 | (1) |
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7.2.6.4 Reactive Power Limits |
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259 | (2) |
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7.3 Steady State Unbalanced Three-Phase Voltage Stability with FACTS |
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261 | (8) |
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262 | (1) |
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263 | (2) |
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265 | (1) |
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|
266 | (3) |
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8 Congestion Management and Loss Optimization with FACTS |
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269 | (22) |
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8.1 Fast Power Flow Control in Energy Markets |
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|
269 | (3) |
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|
269 | (2) |
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271 | (1) |
|
8.2 Placement of Power Flow Controllers |
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272 | (3) |
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8.3 Economic Evaluation Method |
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275 | (9) |
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8.3.1 Modelling of PFC for Cross-Border Congestion Management |
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276 | (1) |
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8.3.1.1 Basic Network Model |
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276 | (2) |
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8.3.1.2 Inclusion of `Slow' PFC |
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278 | (1) |
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8.3.1.3 Inclusion of `Fast' PFC |
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279 | (1) |
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8.3.2 Determination of Cross-Border Transmission Capacity |
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280 | (1) |
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8.3.3 Estimation of Economic Benefits through PFC |
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281 | (3) |
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8.4 Quantified Benefits of Power Flow Controllers |
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284 | (5) |
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8.4.1 Transmission Capacity Increase |
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284 | (2) |
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286 | (3) |
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289 | (2) |
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290 | (1) |
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9 Non-intrusive System Control of FACTS |
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291 | (10) |
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9.1 Requirement Specification |
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291 | (3) |
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9.1.1 Modularized Network Controllers |
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292 | (1) |
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9.1.2 Controller Specification |
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293 | (1) |
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294 | (7) |
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9.2.1 NISC-Approach for Regular Operation |
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296 | (2) |
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9.2.2 NISC-Approach for Contingency Operation |
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298 | (1) |
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|
299 | (2) |
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10 Autonomous Systems for Emergency and Stability Control of FACTS |
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301 | (20) |
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10.1 Autonomous System Structure |
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301 | (2) |
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10.2 Autonomous Security and Emergency Control |
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303 | (10) |
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10.2.1 Model and Control Structure |
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303 | (1) |
|
10.2.2 Generic Rules for Coordination |
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304 | (3) |
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10.2.3 Synthesis of the Autonomous Control System |
|
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307 | (1) |
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10.2.3.1 Bay Control Level |
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307 | (2) |
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10.2.3.2 Substation and Network Control Level |
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309 | (2) |
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10.2.3.3 Preventive Coordination |
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311 | (2) |
|
10.3 Adaptive Small Signal Stability Control |
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313 | (1) |
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10.3.1 Autonomous Components for Damping Control |
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313 | (1) |
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314 | (7) |
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10.4.1 Failure of a Transmission Line |
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316 | (2) |
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318 | (2) |
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320 | (1) |
|
11 Multi-agent Systems for Coordinated Control of FACTS-Devices |
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321 | (18) |
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11.1 Challenges for Coordinated Control |
|
|
321 | (1) |
|
11.2 Multi-agent System Structure |
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322 | (9) |
|
11.2.1 Communication Model |
|
|
322 | (1) |
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11.2.1.1 Principle communication among Agents |
|
|
323 | (1) |
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11.2.1.2 Communication Rules |
|
|
324 | (1) |
|
11.2.2 Influence Area of a PFC |
|
|
325 | (1) |
|
11.2.2.1 Calculating the Sensitivity |
|
|
325 | (1) |
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11.2.2.2 Assigning the Direction of Impact |
|
|
326 | (1) |
|
11.2.3 Distributed Coordination |
|
|
327 | (1) |
|
11.2.3.1 Weighting Function |
|
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328 | (2) |
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330 | (1) |
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|
331 | (8) |
|
11.3.1 Tripping of a Transmission Line |
|
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331 | (3) |
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|
334 | (2) |
|
|
336 | (3) |
|
12 Wide Area Control of FACTS |
|
|
339 | (32) |
|
12.1 Wide Area Monitoring and Control System |
|
|
339 | (3) |
|
12.2 Wide Area Monitoring Applications |
|
|
342 | (16) |
|
12.2.1 Corridor Voltage Stability Monitoring |
|
|
342 | (4) |
|
12.2.2 Thermal Limit Monitoring |
|
|
346 | (1) |
|
12.2.3 Oscillatory Stability Monitoring |
|
|
347 | (5) |
|
12.2.4 Topology Detection and State Calculation |
|
|
352 | (2) |
|
12.2.5 Loadability Calculation Based on OPF Techniques |
|
|
354 | (1) |
|
12.2.6 Voltage Stability Prediction |
|
|
355 | (3) |
|
12.3 Wide Area Control Applications |
|
|
358 | (13) |
|
12.3.1 Predictive Control with Setpoint Optimization |
|
|
359 | (3) |
|
12.3.2 Remote Feedback Control |
|
|
362 | (7) |
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|
369 | (2) |
|
13 Modeling of Power Systems for Small Signal Stability Analysis with FACTS |
|
|
371 | (30) |
|
13.1 Small Signal Modeling |
|
|
372 | (15) |
|
13.1.1 Synchronous Generators |
|
|
372 | (2) |
|
13.1.2 Excitation Systems |
|
|
374 | (2) |
|
13.1.3 Turbine and Governor Model |
|
|
376 | (1) |
|
|
376 | (3) |
|
13.1.5 Network and Power Flow Model |
|
|
379 | (1) |
|
|
379 | (1) |
|
|
380 | (1) |
|
|
381 | (3) |
|
|
384 | (2) |
|
|
386 | (1) |
|
|
387 | (9) |
|
13.2.1 Small Signal Stability Results of Study System |
|
|
387 | (6) |
|
13.2.2 Eigenvector, Mode Shape and Participation Factor |
|
|
393 | (3) |
|
13.3 Modal Controllability, Observability and Residue |
|
|
396 | (5) |
|
|
400 | (1) |
|
14 Linear Control Design and Simulation of Power System Stability with FACTS |
|
|
401 | (38) |
|
14.1 H-Infinity Mixed-Sensitivity Formulation |
|
|
402 | (1) |
|
14.2 Generalized H-Infinity Problem with Pole Placement |
|
|
403 | (2) |
|
14.3 Matrix Inequality Formulation |
|
|
405 | (1) |
|
14.4 Linearization of Matrix Inequalities |
|
|
406 | (2) |
|
|
408 | (8) |
|
|
408 | (1) |
|
|
409 | (3) |
|
14.5.3 Performance Evaluation |
|
|
412 | (1) |
|
14.5.4 Simulation Results |
|
|
413 | (3) |
|
14.6 Case Study on Sequential Design |
|
|
416 | (6) |
|
|
416 | (1) |
|
|
417 | (1) |
|
14.6.3 Performance Evaluation |
|
|
418 | (1) |
|
14.6.4 Simulation Results |
|
|
419 | (3) |
|
14.7 H-Infinity Control for Time Delayed Systems |
|
|
422 | (1) |
|
14.8 Smith Predictor for Time-Delayed Systems |
|
|
423 | (4) |
|
14.9 Problem Formulation Using Unified Smith Predictor |
|
|
427 | (2) |
|
|
429 | (10) |
|
|
429 | (3) |
|
14.10.2 Performance Evaluation |
|
|
432 | (1) |
|
14.10.3 Simulation Results |
|
|
432 | (4) |
|
|
436 | (3) |
|
15 Power System Stability Control Using FACTS with Multiple Operating Points |
|
|
439 | (38) |
|
|
439 | (2) |
|
15.1.1 LMI Based Techniques for Damping Control Design |
|
|
439 | (1) |
|
15.1.2 The Technical Challenges of LMI Based Damping Control Design for Multi-model Systems |
|
|
440 | (1) |
|
15.2 Nonlinear Matrix Inequalities Formulation of FACTS Stability Control Considering Multiple Operating Points |
|
|
441 | (1) |
|
15.2.1 Multi-model System |
|
|
441 | (1) |
|
15.3 A Two-Step Design Approach for the Output Feedback Controller |
|
|
442 | (7) |
|
15.3.1 First Step: Determination of the Variable K |
|
|
443 | (2) |
|
15.3.2 Second Step: Determination of Variables Ak and Bk |
|
|
445 | (4) |
|
15.4 Extension to H2 and H∞ Performances |
|
|
449 | (8) |
|
15.4.1 First Step: Determining K for Multi-objective Control |
|
|
450 | (1) |
|
15.4.2 Second Step: Determining Ak and Bk for Multi-objective Control |
|
|
451 | (2) |
|
|
453 | (1) |
|
|
454 | (3) |
|
15.4.5 Remarks on the Two-Step Control Design Approach |
|
|
457 | (1) |
|
15.5 Two-Step Control Design Approach for the Single-Machine-Infinite-Bus |
|
|
457 | (6) |
|
15.5.1 Single-Machine-Infinite-Bus (SMIB) |
|
|
457 | (2) |
|
15.5.2 Pole Placement Based Damping Controller Design Using the Two-Step Approach |
|
|
459 | (3) |
|
15.5.3 Comparison MLMI with SLMI Using Nonlinear Simulations |
|
|
462 | (1) |
|
15.6 Two-Step Control Design Approach for the Multi-machine System |
|
|
463 | (6) |
|
15.6.1 Multi-machine Test System |
|
|
463 | (1) |
|
15.6.2 Two-Step Damping Controller Design for the Multi-machine System |
|
|
464 | (2) |
|
15.6.3 Performance Evaluation |
|
|
466 | (1) |
|
15.6.4 Nonlinear Simulations |
|
|
467 | (1) |
|
15.6.4.1 Closed-Loop Performance under Small Disturbances |
|
|
467 | (1) |
|
15.6.4.2 Closed-Loop Performance under Three-Phase Fault Conditions |
|
|
468 | (1) |
|
15.7 Alternative Two-Step Control Design Approach for the Multi-machine System |
|
|
469 | (4) |
|
15.7.1 Introduction of SCADA/EMS |
|
|
469 | (1) |
|
15.7.2 Alternative Two-Step Damping Controller Design Approach |
|
|
470 | (1) |
|
15.7.3 Numerical Examples |
|
|
471 | (2) |
|
|
473 | (4) |
|
|
474 | (3) |
|
16 Control of a Looping Device in a Distribution System |
|
|
477 | (22) |
|
16.1 Overview of a Looping Device in a Distribution System |
|
|
477 | (3) |
|
16.2 Local Control of Looping Device |
|
|
480 | (3) |
|
16.2.1 Estimation of Line Voltage |
|
|
480 | (1) |
|
16.2.2 Loop Power Flow Control |
|
|
481 | (1) |
|
16.2.3 Reactive Power Control |
|
|
482 | (1) |
|
16.3 Approximation Control |
|
|
483 | (3) |
|
16.3.1 Objective Function and Optimal Control |
|
|
483 | (2) |
|
16.3.2 Approximation Using the Least-Squares Method |
|
|
485 | (1) |
|
|
486 | (6) |
|
|
492 | (7) |
|
|
492 | (1) |
|
16.5.2 Simple Control for Testing |
|
|
493 | (1) |
|
16.5.3 Testing Conditions |
|
|
494 | (1) |
|
|
495 | (2) |
|
|
497 | (2) |
|
17 Power Electronic Control for Wind Generation Systems |
|
|
499 | (48) |
|
|
499 | (2) |
|
|
501 | (11) |
|
17.2.1 Modelling and Control of WT with DFIG |
|
|
501 | (1) |
|
17.2.1.1 Selection of Models of DFIG for Power System Analysis |
|
|
501 | (1) |
|
17.2.1.2 Decoupling Control of DFIG |
|
|
502 | (2) |
|
17.2.1.3 Impacts of WT with DFIG on Power System Stability |
|
|
504 | (1) |
|
17.2.2 Model of WT with DFIG |
|
|
505 | (1) |
|
|
505 | (2) |
|
17.2.2.2 Model of Drive Train |
|
|
507 | (2) |
|
17.2.2.3 Model of the Back-to-Back Converters |
|
|
509 | (1) |
|
17.2.2.4 Rotor Side Converter Controller Model |
|
|
509 | (2) |
|
17.2.2.5 Grid Side Converter Controller Model |
|
|
511 | (1) |
|
17.2.2.6 Pitch Controller |
|
|
511 | (1) |
|
17.2.2.7 Interfacing with Power Grid |
|
|
512 | (1) |
|
17.3 Small Signal Stability Analysis of WT with DFIG |
|
|
512 | (7) |
|
17.3.1 Dynamic Model of WT with DFIG |
|
|
512 | (1) |
|
17.3.2 Small Signal Stability Analysis Model of WT with DFIG |
|
|
513 | (1) |
|
17.3.3 Small Signal Stability Analysis of WT with DFIG |
|
|
514 | (1) |
|
17.3.3.1 Small Signal Stability Analysis Techniques [ 6][ 19] |
|
|
514 | (1) |
|
17.3.3.2 Small Signal Stability Analysis with PI Controllers |
|
|
515 | (1) |
|
17.3.3.3 Small Signal Stability Analysis with Optimized PI Controllers |
|
|
516 | (1) |
|
17.3.4 Dynamic Simulations |
|
|
517 | (1) |
|
17.3.4.1 Four-Machine System - Small Disturbance |
|
|
517 | (2) |
|
17.3.4.2 Four-Machine System - Large Disturbance |
|
|
519 | (1) |
|
17.4 Model of WT with DDPMG |
|
|
519 | (6) |
|
17.4.1 Model of WT with DDPMG |
|
|
520 | (1) |
|
|
520 | (1) |
|
17.4.1.2 Model of Drive Train |
|
|
521 | (1) |
|
17.4.1.3 Model of Converter |
|
|
522 | (1) |
|
17.4.1.4 Generator Side Converter Controller Model |
|
|
522 | (2) |
|
17.4.1.5 Grid Side Converter Controller |
|
|
524 | (1) |
|
17.4.1.6 Interfacing with Power Grid |
|
|
524 | (1) |
|
17.4.1.7 Dynamic Model of WT with DDPMG System |
|
|
525 | (1) |
|
17.5 Small Signal Stability Analysis of WT with DDPMG |
|
|
525 | (4) |
|
17.5.1 Small Signal Stability Analysis Model |
|
|
525 | (1) |
|
17.5.2 Small Signal Stability Analysis of WT with DDPMG |
|
|
526 | (1) |
|
17.5.2.1 Small Signal Stability Analysis with PI Controller |
|
|
526 | (1) |
|
17.5.2.2 Small Signal Stability Analysis of the WT with DDPMG Using Optimized PI Controllers |
|
|
527 | (1) |
|
17.5.3 Dynamic Simulation on Four-Machine System |
|
|
528 | (1) |
|
17.6 Nonlinear Control of Wind Generation Systems |
|
|
529 | (7) |
|
|
529 | (1) |
|
17.6.2 Third-Order Model of WT with DFIG |
|
|
530 | (1) |
|
17.6.3 Nonlinear Control Design for the WT with DFIG |
|
|
531 | (1) |
|
17.6.3.1 Model Exact Linearization of the WT with DFIG |
|
|
531 | (3) |
|
17.6.3.2 Nonlinear Control Design for the WT with DFIG |
|
|
534 | (1) |
|
17.6.5 Dynamic Simulations |
|
|
535 | (1) |
|
|
535 | (1) |
|
17.6.5.2 Dynamic Performance |
|
|
536 | (1) |
|
17.7 Modelling of Large Wind Farms Using System Dynamic Equivalence |
|
|
536 | (4) |
|
17.7.1 Identification of Coherency Groups |
|
|
537 | (1) |
|
|
537 | (1) |
|
17.7.3 Aggregation of Dynamic Parameters |
|
|
538 | (1) |
|
17.7.4 Dynamic Simulations |
|
|
538 | (2) |
|
17.8 Interconnection of Large Wind Farms with Power Grid via HVDC Link |
|
|
540 | (7) |
|
17.8.1 Development in VSC HVDC Technologies |
|
|
540 | (2) |
|
17.8.2 VSC HVDC Control for Wind Farm Interconnection |
|
|
542 | (1) |
|
17.8.3 Dynamic Simulations |
|
|
543 | (1) |
|
|
543 | (4) |
Index |
|
547 | |