About the Authors |
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xi | |
Preface |
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xiii | |
Acknowledgements |
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xv | |
1 Various Cables Used in Practice |
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1 | (20) |
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1 | (2) |
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3 | (8) |
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3 | (1) |
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4 | (5) |
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9 | (1) |
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10 | (1) |
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11 | (2) |
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11 | (1) |
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1.3.2 HVAC Submarine Cables |
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11 | (1) |
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1.3.3 HVDC Submarine Cables |
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12 | (1) |
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1.4 Laying Configurations |
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13 | (6) |
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13 | (1) |
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14 | (5) |
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19 | (2) |
2 Impedance and Admittance Formulas |
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21 | (42) |
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2.1 Single-core Coaxial Cable (SC Cable) |
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22 | (5) |
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22 | (3) |
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2.1.2 Potential Coefficient |
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25 | (2) |
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2.2 Pipe-enclosed Type Cable (PT Cable) |
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27 | (4) |
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27 | (2) |
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2.2.2 Potential Coefficient |
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29 | (2) |
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2.3 Arbitrary Cross-section Conductor |
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31 | (4) |
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2.3.1 Equivalent Cylindrical Conductor |
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31 | (1) |
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32 | (3) |
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2.4 Semiconducting Layer Impedance |
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35 | (12) |
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2.4.1 Derivation of Impedance |
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35 | (3) |
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2.4.2 Impedance of Two-layered Conductor |
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38 | (1) |
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2.4.3 Discussion of the Impedance Formula |
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38 | (2) |
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2.4.4 Admittance of Semiconducting Layer |
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40 | (1) |
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2.4.5 Wave Propagation Characteristic of Cable with Core Outer Semiconducting Layer |
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40 | (7) |
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47 | (1) |
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2.5 Discussion of the Formulation |
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47 | (5) |
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2.5.1 Discussion of the Formulas |
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47 | (2) |
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2.5.2 Parameters Influencing Cable Impedance and Admittance |
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49 | (3) |
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2.6 EMTP Subroutines "Cable Constants" and "Cable Parameters" |
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52 | (2) |
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52 | (1) |
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2.6.2 Underground/Overhead Cable |
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52 | (2) |
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Appendix 2.A Impedance of an SC Cable Consisting of a Core, a Sheath and an Armor |
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54 | (2) |
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Appendix 2.B Potential Coefficient |
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56 | (1) |
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Appendix 2.0 Internal Impedances of Arbitrary Cross-section Conductor |
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57 | (1) |
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Appendix 2.D Derivation of Semiconducting Layer Impedance |
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58 | (3) |
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61 | (2) |
3 Theory of Wave Propagation in Cables |
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63 | (100) |
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63 | (15) |
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3.1.1 Eigenvalues and Vectors |
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63 | (2) |
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3.1.2 Calculation of a Matrix Function by Eigenvalues/Vectors |
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65 | (1) |
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3.1.3 Direct Application of Eigenvalue Theory to a Multi-conductor System |
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66 | (1) |
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67 | (2) |
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3.1.5 Formulation of Multi-conductor Voltages and Currents |
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69 | (2) |
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3.1.6 Boundary Conditions and Two-port Theory |
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71 | (6) |
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77 | (1) |
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3.2 Basic Characteristics of Wave Propagation on Single-phase SC Cables |
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78 | (6) |
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3.2.1 Basic Propagation Characteristics for a Transient |
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78 | (3) |
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3.2.2 Frequency-dependent Characteristics |
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81 | (3) |
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3.2.3 Time Response of Wave Deformation |
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84 | (1) |
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3.3 Three-phase Underground SC Cables |
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84 | (6) |
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3.3.1 Mutual Coupling between Phases |
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84 | (2) |
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3.3.2 Transformation Matrix |
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86 | (1) |
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3.3.3 Attenuation and Velocity |
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87 | (1) |
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3.3.4 Characteristic Impedance |
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88 | (2) |
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3.4 Effect of Various Parameters of an SC Cable |
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90 | (4) |
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91 | (1) |
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3.4.2 Earth Resistivity pe |
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91 | (1) |
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91 | (1) |
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3.4.4 Sheath Resistivity ps |
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91 | (2) |
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3.4.5 Arrangement of a Three-phase SC Cable |
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93 | (1) |
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94 | (20) |
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3.5.1 Introduction of Cross-bonded Cable |
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94 | (1) |
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3.5.2 Theoretical Formulation of a Cross-bonded Cable |
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95 | (7) |
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3.5.3 Homogeneous Model of a Cross-bonded Cable |
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102 | (3) |
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3.5.4 Difference between Tunnel-installed and Buried Cables |
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105 | (9) |
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114 | (20) |
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3.6.1 Introduction of PT Cable |
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114 | (1) |
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3.6.2 PT Cable with Finite-pipe Thickness |
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115 | (13) |
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3.6.3 Effect of Eccentricity of Inner Conductor |
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128 | (5) |
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3.6.4 Effect of the Permittivity of the Pipe Inner Insulator |
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133 | (1) |
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133 | (1) |
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3.7 Propagation Characteristics of Intersheath Modes |
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134 | (26) |
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3.7.1 Theoretical Analysis of Intersheath Modes |
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134 | (10) |
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3.7.2 Transients on a Cross-bonded Cable |
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144 | (15) |
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159 | (1) |
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160 | (1) |
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160 | (3) |
4 Cable Modeling for Transient Simulations |
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163 | (22) |
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4.1 Sequence Impedances Using a Lumped PI-circuit Model |
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163 | (11) |
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4.1.1 Solidly Bonded Cables |
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163 | (4) |
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4.1.2 Cross-bonded Cables |
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167 | (1) |
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4.1.3 Derivation of Sequence Impedance Formulas |
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168 | (6) |
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4.2 Electromagnetic Transients Program (EMTP) Cable Models for Transient Simulations |
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174 | (1) |
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175 | (1) |
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4.4 Semlyen Frequency-dependent Model |
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176 | (2) |
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177 | (1) |
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178 | (1) |
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178 | (1) |
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4.6 Latest Frequency-dependent Models |
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179 | (3) |
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179 | (2) |
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4.6.2 Frequency Region Partitioning Algorithm |
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181 | (1) |
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182 | (3) |
5 Basic Characteristics of Transients on Single-phase Cables |
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185 | (44) |
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5.1 Single-core Coaxial (SC) Cable |
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185 | (27) |
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5.1.1 Experimental Observations |
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185 | (2) |
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187 | (5) |
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5.1.3 Theoretical Analysis |
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192 | (11) |
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5.1.4 Analytical Evaluation of Parameters |
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203 | (1) |
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5.1.5 Analytical Calculation of Transient Voltages |
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204 | (7) |
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211 | (1) |
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5.2 Pipe-enclosed Type (PT) Cable-Effect of Eccentricity |
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212 | (13) |
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5.2.1 Model Circuit for the EMTP Simulation |
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212 | (2) |
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5.2.2 Simulation Results for Step-function Voltage Source |
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214 | (4) |
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218 | (1) |
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5.2.4 Theoretical Analysis |
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218 | (6) |
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224 | (1) |
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5.3 Effect of a Semiconducting Layer on a Transient |
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225 | (2) |
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5.3.1 Step Function Voltage Applied to a 2 km Cable |
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225 | (1) |
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5.3.2 5 x 70µs Impulse Voltage Applied to a 40 km Cable |
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226 | (1) |
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227 | (2) |
6 Transient on Three-phase Cables in a Real System |
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229 | (68) |
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229 | (11) |
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6.1.1 Field Test on an 110 kV Oil-filled (OF) Cable |
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229 | (1) |
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6.1.2 Effect of Cross-bonding |
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229 | (3) |
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6.1.3 Effect of Various Parameters |
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232 | (5) |
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6.1.4 Homogeneous Model (See Section 3.5.3) |
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237 | (2) |
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239 | (1) |
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6.2 Tunnel-installed 275 kV Cable |
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240 | (12) |
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6.2.1 Cable Configuration |
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240 | (1) |
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6.2.2 Effect of Geometrical Parameters on Wave Propagation |
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241 | (2) |
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6.2.3 Field Test on 275 kV XLPE Cable |
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243 | (6) |
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249 | (3) |
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6.3 Cable Installed Underneath a Bridge |
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252 | (10) |
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252 | (1) |
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6.3.2 Effect of an Overhead Cable and a Bridge |
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253 | (4) |
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6.3.3 Effect of Overhead Lines on a Cable Transient |
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257 | (5) |
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6.4 Cable Modeling in EMTP Simulations |
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262 | (4) |
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6.4.1 Marti's and Dommel's Cable Models |
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262 | (3) |
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6.4.2 Homogeneous Cable Model (See Section 3.5.3) |
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265 | (1) |
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6.4.3 Effect of Tunnel-installed Cable |
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265 | (1) |
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6.5 Pipe-enclosed Type (PT) Cable |
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266 | (8) |
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6.5.1 Field Test on a 275 kV Pressure Oil-filled (POF) Cable |
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266 | (1) |
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267 | (2) |
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269 | (5) |
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6.6 Gas-insulated Substation (GIS) - Overhead Cables |
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274 | (19) |
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6.6.1 Basic Characteristic of an Overhead Cable |
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274 | (1) |
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6.6.2 Effect of Spacer in a Bus |
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275 | (6) |
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6.6.3 Three-phase Underground Gas-insulated Line |
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281 | (1) |
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6.6.4 Switching Surges in a 500 kV GIS |
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282 | (2) |
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6.6.5 Basic Characteristics of Switching Surges Induced to a Control Cable |
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284 | (9) |
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293 | (2) |
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295 | (1) |
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295 | (2) |
7 Examples of Cable System Transients |
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297 | (54) |
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7.1 Reactive Power Compensation |
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297 | (1) |
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7.2 Temporary Overvoltages |
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298 | (19) |
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7.2.1 Series Resonance Overvoltage |
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298 | (12) |
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7.2.2 Parallel Resonance Overvoltage |
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310 | (4) |
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7.2.3 Overvoltage Caused by System Islanding |
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314 | (3) |
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7.3 Slow-front Overvoltages |
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317 | (24) |
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7.3.1 Line Energization Overvoltages from a Lumped Source |
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317 | (12) |
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7.3.2 Line Energization Overvoltages from a Complex Source |
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329 | (3) |
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7.3.3 Analysis of Statistical Distribution of Energization Overvoltages |
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332 | (9) |
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7.4 Leading Current Interruption |
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341 | (1) |
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7.5 Zero-missing Phenomenon |
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342 | (4) |
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7.5.1 Zero-missing Phenomenon and Countermeasures |
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342 | (2) |
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7.5.2 Sequential Switching |
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344 | (2) |
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346 | (1) |
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347 | (4) |
8 Cable Transient in Distributed Generation System |
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351 | (40) |
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8.1 Transient Simulation of Wind Farm |
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351 | (23) |
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351 | (1) |
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8.1.2 Cable Model and Dominant Frequency |
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352 | (2) |
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8.1.3 Data for Cable Parameters |
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354 | (5) |
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8.1.4 EMTP Data Structure |
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359 | (4) |
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8.1.5 Results of Pre-calculation |
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363 | (1) |
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364 | (10) |
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8.2 Transients in a Solar Plant |
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374 | (14) |
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8.2.1 Modeling of Solar Plant |
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374 | (5) |
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379 | (9) |
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388 | (3) |
Index |
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391 | |