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xiii | |
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xxi | |
Preface |
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xxiii | |
Acronyms and constants |
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xxv | |
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Definitions, objectives and background |
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1 | (10) |
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1 | (2) |
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Classification of electromagnetic transients |
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3 | (1) |
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4 | (1) |
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5 | (1) |
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5 | (1) |
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Method of difference equations |
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5 | (1) |
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6 | (3) |
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9 | (1) |
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9 | (2) |
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Analysis of continuous and discrete systems |
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11 | (24) |
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11 | (1) |
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11 | (19) |
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State variable formulations |
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13 | (1) |
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Successive differentiation |
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13 | (1) |
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Controller canonical form |
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14 | (2) |
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16 | (2) |
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18 | (1) |
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Uniqueness of formulation |
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19 | (1) |
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20 | (1) |
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Time domain solution of state equations |
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20 | (2) |
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Digital simulation of continuous systems |
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22 | (5) |
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27 | (3) |
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30 | (2) |
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Relationship of continuous and discrete domains |
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32 | (2) |
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34 | (1) |
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34 | (1) |
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35 | (32) |
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35 | (1) |
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Choice of state variables |
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35 | (2) |
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Formation of the state equations |
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37 | (6) |
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37 | (3) |
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40 | (3) |
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43 | (1) |
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Transient converter simulation (TCS) |
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44 | (15) |
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45 | (1) |
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46 | (3) |
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49 | (2) |
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51 | (2) |
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Effect of automatic time step adjustments |
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53 | (2) |
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55 | (4) |
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59 | (5) |
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64 | (1) |
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65 | (2) |
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Numerical integrator substitution |
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67 | (32) |
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67 | (1) |
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Discretisation of R, L, C elements |
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68 | (5) |
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68 | (1) |
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68 | (2) |
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70 | (1) |
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71 | (2) |
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Dual Norton model of the transmission line |
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73 | (3) |
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76 | (12) |
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Network solution with switches |
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79 | (1) |
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Example: voltage step applied to RL load |
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80 | (8) |
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Non-linear or time varying parameters |
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88 | (4) |
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Current source representation |
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89 | (1) |
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89 | (2) |
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91 | (1) |
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92 | (3) |
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Sparsity and optimal ordering |
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95 | (2) |
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Numerical errors and instabilities |
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97 | (1) |
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97 | (1) |
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98 | (1) |
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99 | (24) |
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99 | (1) |
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Exponential form of the difference equation |
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99 | (3) |
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z-domain representation of difference equations |
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102 | (3) |
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Implementation in EMTP algorithm |
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105 | (7) |
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Family of exponential forms of the difference equation |
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112 | (6) |
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114 | (2) |
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116 | (1) |
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117 | (1) |
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118 | (2) |
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120 | (1) |
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121 | (2) |
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Transmission lines and cables |
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123 | (36) |
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123 | (1) |
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124 | (6) |
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Multiconductor transmission lines |
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126 | (4) |
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Frequency-dependent transmission lines |
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130 | (7) |
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Frequency to time domain transformation |
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132 | (4) |
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136 | (1) |
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Overhead transmission line parameters |
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137 | (5) |
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140 | (2) |
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142 | (1) |
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Underground cable parameters |
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142 | (4) |
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146 | (10) |
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156 | (1) |
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156 | (3) |
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Transformers and rotating plant |
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159 | (34) |
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159 | (1) |
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160 | (5) |
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161 | (1) |
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162 | (2) |
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Modelling of non-linearities |
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164 | (1) |
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Advanced transformer models |
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165 | (11) |
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166 | (3) |
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169 | (2) |
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UMEC implementation in PSCAD/EMTDC |
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171 | (1) |
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Three-limb three-phase UMEC |
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172 | (4) |
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176 | (1) |
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176 | (14) |
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177 | (6) |
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183 | (1) |
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184 | (1) |
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184 | (1) |
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Interfacing machine to network |
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185 | (4) |
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Types of rotating machine available |
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189 | (1) |
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190 | (1) |
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191 | (2) |
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193 | (24) |
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193 | (1) |
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Transient analysis of control systems (TACS) |
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194 | (1) |
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Control modelling in PSCAD/EMTDC |
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195 | (10) |
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198 | (7) |
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Modelling of protective systems |
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205 | (8) |
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205 | (3) |
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208 | (1) |
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209 | (1) |
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Microprocessor-based relays |
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209 | (1) |
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210 | (1) |
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211 | (2) |
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213 | (1) |
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214 | (3) |
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217 | (34) |
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217 | (1) |
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Valve representation in EMTDC |
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217 | (2) |
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Placement and location of switching instants |
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219 | (1) |
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Spikes and numerical oscillations (chatter) |
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220 | (10) |
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Interpolation and chatter removal |
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222 | (8) |
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230 | (3) |
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Example of HVDC simulation |
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233 | (1) |
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233 | (10) |
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The static VAr compensator |
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233 | (8) |
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The static compensator (STATCOM) |
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241 | (2) |
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243 | (5) |
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EMTDC/TCS interface implementation |
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244 | (4) |
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Control system representation |
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248 | (1) |
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248 | (1) |
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249 | (2) |
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Frequency dependent network equivalents |
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251 | (26) |
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251 | (1) |
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252 | (1) |
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Extent of system to be reduced |
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252 | (1) |
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253 | (1) |
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System frequency response |
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253 | (9) |
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Frequency domain identification |
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253 | (2) |
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255 | (2) |
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Frequency domain analysis |
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257 | (5) |
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Time domain identification |
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262 | (1) |
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Fitting of model parameters |
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262 | (4) |
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262 | (1) |
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263 | (2) |
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Error and figure of merit |
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265 | (1) |
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266 | (1) |
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267 | (8) |
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275 | (1) |
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275 | (2) |
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Steady state applications |
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277 | (26) |
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277 | (1) |
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278 | (1) |
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278 | (1) |
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Phase-dependent impedance of non-linear device |
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279 | (2) |
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The time domain in an ancillary capacity |
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281 | (5) |
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Iterative solution for time invariant non-linear components |
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282 | (2) |
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Iterative solution for general non-linear components |
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284 | (1) |
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285 | (1) |
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The time domain in the primary role |
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286 | (2) |
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Basic time domain algorithm |
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286 | (1) |
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286 | (1) |
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287 | (1) |
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287 | (1) |
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288 | (4) |
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290 | (2) |
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292 | (4) |
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Modelling of flicker penetration |
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294 | (2) |
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296 | (1) |
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297 | (1) |
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297 | (3) |
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300 | (3) |
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Mixed time-frame simulation |
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303 | (18) |
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303 | (1) |
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Description of the hybrid algorithm |
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304 | (3) |
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Individual program modifications |
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307 | (1) |
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307 | (1) |
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307 | (6) |
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308 | (2) |
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310 | (1) |
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Phase and sequence data conversions |
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310 | (1) |
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Interface variables derivation |
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311 | (2) |
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EMTDC to TS data transfer |
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313 | (1) |
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Data extraction from converter waveforms |
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313 | (1) |
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313 | (3) |
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316 | (1) |
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317 | (2) |
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319 | (1) |
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319 | (2) |
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Transient simulation in real time |
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321 | (12) |
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321 | (1) |
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Simulation with dedicated architectures |
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322 | (5) |
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323 | (2) |
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325 | (2) |
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Real-time implementation on standard computers |
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327 | (3) |
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Example of real-time test |
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329 | (1) |
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330 | (1) |
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331 | (2) |
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A Structure of the PSCAD/EMTDC program |
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333 | (8) |
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340 | (1) |
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B System identification techniques |
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341 | (10) |
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s-domain identification (frequency domain) |
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341 | (2) |
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z-domain identification (frequency domain) |
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343 | (2) |
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z-domain identification (time domain) |
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345 | (1) |
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346 | (2) |
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Recursive least-squares curve-fitting algorithm |
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348 | (2) |
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350 | (1) |
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351 | (8) |
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Review of classical methods |
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351 | (3) |
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Truncation error of integration formulae |
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354 | (2) |
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Stability of integration methods |
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356 | (1) |
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357 | (2) |
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359 | (8) |
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CIGRE HVDC benchmark model |
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359 | (1) |
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Lower South Island (New Zealand) system |
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359 | (6) |
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365 | (2) |
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E Developing difference equations |
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367 | (6) |
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Root-matching technique applied to a first order lag function |
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367 | (1) |
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Root-matching technique applied to a first order differential pole function |
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368 | (1) |
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Difference equation by bilinear transformation for RL series branch |
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369 | (1) |
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Difference equation by numerical integrator substitution for RL series branch |
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369 | (4) |
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373 | (16) |
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Voltage step on RL branch |
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373 | (1) |
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374 | (2) |
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General version of example F.2 |
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376 | (8) |
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Frequency response of difference equations |
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384 | (5) |
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G FORTRAN code for state variable analysis |
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389 | (6) |
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State variable analysis program |
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389 | (6) |
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H FORTRAN code for EMT simulation |
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395 | (22) |
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DC source, switch and RL load |
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395 | (2) |
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General EMT program for d.c. source, switch and RL load |
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397 | (3) |
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AC source diode and RL load |
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400 | (2) |
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Simple lossless transmission line |
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402 | (2) |
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Bergeron transmission line |
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404 | (3) |
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Frequency-dependent transmission line |
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407 | (6) |
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Utility subroutines for transmission line programs |
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413 | (4) |
Index |
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417 | |