├── .gitignore ├── .travis.yml ├── LICENSE ├── Project.toml ├── README.md ├── apt.txt ├── generate_notebooks.sh ├── ieee14-4th-order ├── .gitignore ├── Project.toml ├── README.md ├── convert_notebook.jl ├── ieee14-4th-order.json ├── plotting.jl ├── runexample.ipynb └── runexample.jl ├── ieee14-minimal-power-reduction ├── .gitignore ├── IEEE14_busses.csv ├── IEEE14_lines.csv ├── Project.toml └── runexample.jl ├── ieee14-minimal ├── .gitignore ├── Project.toml ├── README.md ├── ieee-14-minimal.json ├── plotting.jl ├── runexample.ipynb └── runexample.jl ├── notebooks └── Project.toml ├── push.sh └── travis_key.enc /.gitignore: -------------------------------------------------------------------------------- 1 | Manifest.toml 2 | -------------------------------------------------------------------------------- /.travis.yml: -------------------------------------------------------------------------------- 1 | language: julia 2 | julia: 3 | - 1.2 4 | script: 5 | - ./generate_notebooks.sh 6 | after_success: 7 | - ./push.sh 8 | env: 9 | matrix: 10 | secure: 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 11 | -------------------------------------------------------------------------------- /LICENSE: -------------------------------------------------------------------------------- 1 | GNU GENERAL PUBLIC LICENSE 2 | Version 3, 29 June 2007 3 | 4 | Copyright (C) 2007 Free Software Foundation, Inc. 5 | Everyone is permitted to copy and distribute verbatim copies 6 | of this license document, but changing it is not allowed. 7 | 8 | Preamble 9 | 10 | The GNU General Public License is a free, copyleft license for 11 | software and other kinds of works. 12 | 13 | The licenses for most software and other practical works are designed 14 | to take away your freedom to share and change the works. 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It is safest 630 | to attach them to the start of each source file to most effectively 631 | state the exclusion of warranty; and each file should have at least 632 | the "copyright" line and a pointer to where the full notice is found. 633 | 634 | 635 | Copyright (C) 636 | 637 | This program is free software: you can redistribute it and/or modify 638 | it under the terms of the GNU General Public License as published by 639 | the Free Software Foundation, either version 3 of the License, or 640 | (at your option) any later version. 641 | 642 | This program is distributed in the hope that it will be useful, 643 | but WITHOUT ANY WARRANTY; without even the implied warranty of 644 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the 645 | GNU General Public License for more details. 646 | 647 | You should have received a copy of the GNU General Public License 648 | along with this program. If not, see . 649 | 650 | Also add information on how to contact you by electronic and paper mail. 651 | 652 | If the program does terminal interaction, make it output a short 653 | notice like this when it starts in an interactive mode: 654 | 655 | Copyright (C) 656 | This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'. 657 | This is free software, and you are welcome to redistribute it 658 | under certain conditions; type `show c' for details. 659 | 660 | The hypothetical commands `show w' and `show c' should show the appropriate 661 | parts of the General Public License. Of course, your program's commands 662 | might be different; for a GUI interface, you would use an "about box". 663 | 664 | You should also get your employer (if you work as a programmer) or school, 665 | if any, to sign a "copyright disclaimer" for the program, if necessary. 666 | For more information on this, and how to apply and follow the GNU GPL, see 667 | . 668 | 669 | The GNU General Public License does not permit incorporating your program 670 | into proprietary programs. If your program is a subroutine library, you 671 | may consider it more useful to permit linking proprietary applications with 672 | the library. If this is what you want to do, use the GNU Lesser General 673 | Public License instead of this License. But first, please read 674 | . 675 | -------------------------------------------------------------------------------- /Project.toml: -------------------------------------------------------------------------------- 1 | [deps] 2 | LaTeXStrings = "b964fa9f-0449-5b57-a5c2-d3ea65f4040f" 3 | OrderedCollections = "bac558e1-5e72-5ebc-8fee-abe8a469f55d" 4 | Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80" 5 | PowerDynamics = "cc46b21f-1b17-51c2-b642-af74c3d3a8be" 6 | 7 | [compat] 8 | PowerDynamics = "2.4.1" 9 | julia = "^1.2" 10 | -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- 1 | [![Stable Docs](https://img.shields.io/badge/docs-stable-blue.svg)](https://juliaenergy.github.io/PowerDynamics.jl/stable/) 2 | [![Dev Docs](https://img.shields.io/badge/docs-dev-blue.svg)](https://juliaenergy.github.io/PowerDynamics.jl/dev/) 3 | 4 | # PowerDynamicsExamples 5 | 6 | **Status**: This Repository is deprecated and no longer compatible with newer releases of `PowerDynamics.jl`. Please use the [example scripts](https://github.com/JuliaEnergy/PowerDynamics.jl/tree/main/examples) in the main repository. 7 | -------------------------------------------------------------------------------- /apt.txt: -------------------------------------------------------------------------------- 1 | texlive-latex-base 2 | texlive-latex-recommended 3 | texlive-science 4 | texlive-latex-extra 5 | texlive-fonts-recommended 6 | dvipng 7 | ghostscript 8 | -------------------------------------------------------------------------------- /generate_notebooks.sh: -------------------------------------------------------------------------------- 1 | julia --check-bounds=yes --color=yes -e "using Pkg; Pkg.activate(\"./notebooks\");Pkg.instantiate(); using Literate; 2 | Literate.notebook(\"ieee14-4th-order/runexample.jl\",\"ieee14-4th-order\",execute=false) 3 | Literate.notebook(\"ieee14-minimal/runexample.jl\",\"ieee14-minimal\",execute=false) 4 | " 5 | -------------------------------------------------------------------------------- /ieee14-4th-order/.gitignore: -------------------------------------------------------------------------------- 1 | *.pdf 2 | *.png 3 | Manifest.toml 4 | *.DS_Store -------------------------------------------------------------------------------- /ieee14-4th-order/Project.toml: -------------------------------------------------------------------------------- 1 | [deps] 2 | CSV = "336ed68f-0bac-5ca0-87d4-7b16caf5d00b" 3 | DataFrames = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0" 4 | IJulia = "7073ff75-c697-5162-941a-fcdaad2a7d2a" 5 | LaTeXStrings = "b964fa9f-0449-5b57-a5c2-d3ea65f4040f" 6 | OrderedCollections = "bac558e1-5e72-5ebc-8fee-abe8a469f55d" 7 | Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80" 8 | PowerDynamics = "cc46b21f-1b17-51c2-b642-af74c3d3a8be" 9 | SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf" 10 | Weave = "44d3d7a6-8a23-5bf8-98c5-b353f8df5ec9" 11 | 12 | [compat] 13 | PowerDynamics = "2.4.1" 14 | julia = "^1.2" 15 | -------------------------------------------------------------------------------- /ieee14-4th-order/README.md: -------------------------------------------------------------------------------- 1 | [![Binder](https://mybinder.org/badge_logo.svg)](https://mybinder.org/v2/gh/JuliaEnergy/PowerDynamicsExamples/master?filepath=ieee14-4th-order%2Frunexample.ipynb) 2 | -------------------------------------------------------------------------------- /ieee14-4th-order/convert_notebook.jl: -------------------------------------------------------------------------------- 1 | using Weave: convert_doc 2 | convert_doc("runexample.jl", "runexample.ipynb") -------------------------------------------------------------------------------- /ieee14-4th-order/ieee14-4th-order.json: -------------------------------------------------------------------------------- 1 | { 2 | "nodes": [ 3 | { 4 | "name": "bus1", 5 | "params": { 6 | "T_d_dash": 7.4, 7 | "D": 2, 8 | "X_d": 0.8979, 9 | "X_q": 0.646, 10 | "Ω": 50, 11 | "X_d_dash": 0.2995, 12 | "T_q_dash": 0.1, 13 | "X_q_dash": 0.646, 14 | "P": 2.32, 15 | "H": 5.148, 16 | "E_f": 1, 17 | "Y_n": 0 18 | }, 19 | "type": "FourthOrderEq" 20 | }, 21 | { 22 | "name": "bus2", 23 | "params": { 24 | "U": 1, 25 | "Y_n": 0 26 | }, 27 | "type": "SlackAlgebraic" 28 | }, 29 | { 30 | "name": "bus3", 31 | "params": { 32 | "T_d_dash": 6.1, 33 | "D": 2, 34 | "X_d": 1.05, 35 | "X_q": 0.98, 36 | "Ω": 50, 37 | "X_d_dash": 0.185, 38 | "T_q_dash": 0.4, 39 | "X_q_dash": 0.36, 40 | "P": -0.942, 41 | "H": 6.54, 42 | "E_f": 1, 43 | "Y_n": 0 44 | }, 45 | "type": "FourthOrderEq" 46 | }, 47 | { 48 | "name": "bus4", 49 | "params": { 50 | "U": 1.0, 51 | "P": -0.478, 52 | "A": 0.0, 53 | "Q": -0.0, 54 | "B": 0.0, 55 | "Y_n": 0 56 | }, 57 | "type": "VoltageDependentLoad" 58 | }, 59 | { 60 | "name": "bus5", 61 | "params": { 62 | "U": 1.0, 63 | "P": -0.076, 64 | "A": 0.0, 65 | "Q": -0.016, 66 | "B": 0.0, 67 | "Y_n": 0 68 | }, 69 | "type": "VoltageDependentLoad" 70 | }, 71 | { 72 | "name": "bus6", 73 | "params": { 74 | "T_d_dash": 4.75, 75 | "D": 2, 76 | "X_d": 1.25, 77 | "X_q": 1.22, 78 | "Ω": 50, 79 | "X_d_dash": 0.232, 80 | "T_q_dash": 1.6, 81 | "X_q_dash": 0.715, 82 | "P": -0.122, 83 | "H": 5.06, 84 | "E_f": 1, 85 | "Y_n": 0 86 | }, 87 | "type": "FourthOrderEq" 88 | }, 89 | { 90 | "name": "bus7", 91 | "params": { 92 | "U": 1.0, 93 | "P": -0.0, 94 | "A": 0.0, 95 | "Q": -0.0, 96 | "B": 0.0, 97 | "Y_n": 0 98 | }, 99 | "type": "VoltageDependentLoad" 100 | }, 101 | { 102 | "name": "bus8", 103 | "params": { 104 | "T_d_dash": 4.75, 105 | "D": 2, 106 | "X_d": 1.25, 107 | "X_q": 1.22, 108 | "Ω": 50, 109 | "X_d_dash": 0.232, 110 | "T_q_dash": 1.6, 111 | "X_q_dash": 0.715, 112 | "P": 0.0, 113 | "H": 5.06, 114 | "E_f": 1, 115 | "Y_n": 0 116 | }, 117 | "type": "FourthOrderEq" 118 | }, 119 | { 120 | "name": "bus9", 121 | "params": { 122 | "U": 1.0, 123 | "P": -0.295, 124 | "A": 0.0, 125 | "Q": -0.166, 126 | "B": 0.0, 127 | "Y_n": 0 128 | }, 129 | "type": "VoltageDependentLoad" 130 | }, 131 | { 132 | "name": "bus10", 133 | "params": { 134 | "U": 1.0, 135 | "P": -0.09, 136 | "A": 0.0, 137 | "Q": -0.058, 138 | "B": 0.0, 139 | "Y_n": 0 140 | }, 141 | "type": "VoltageDependentLoad" 142 | }, 143 | { 144 | "name": "bus11", 145 | "params": { 146 | "U": 1.0, 147 | "P": -0.035, 148 | "A": 0.0, 149 | "Q": -0.018, 150 | "B": 0.0, 151 | "Y_n": 0 152 | }, 153 | "type": "VoltageDependentLoad" 154 | }, 155 | { 156 | "name": "bus12", 157 | "params": { 158 | "U": 1.0, 159 | "P": -0.061, 160 | "A": 0.0, 161 | "Q": -0.016, 162 | "B": 0.0, 163 | "Y_n": 0 164 | }, 165 | "type": "VoltageDependentLoad" 166 | }, 167 | { 168 | "name": "bus13", 169 | "params": { 170 | "U": 1.0, 171 | "P": -0.135, 172 | "A": 0.0, 173 | "Q": -0.058, 174 | "B": 0.0, 175 | "Y_n": 0 176 | }, 177 | "type": "VoltageDependentLoad" 178 | }, 179 | { 180 | "name": "bus14", 181 | "params": { 182 | "U": 1.0, 183 | "P": -0.149, 184 | "A": 0.0, 185 | "Q": -0.05, 186 | "B": 0.0, 187 | "Y_n": 0 188 | }, 189 | "type": "VoltageDependentLoad" 190 | } 191 | ], 192 | "lines": [ 193 | { 194 | "name": "branch1", 195 | "params": { 196 | "y": { 197 | "re": 4.999131600798035, 198 | "im": -15.263086523179553 199 | }, 200 | "from": "bus1", 201 | "y_shunt_mk": 0.0264, 202 | "y_shunt_km": 0.0264, 203 | "to": "bus2" 204 | }, 205 | "type": "PiModelLine" 206 | }, 207 | { 208 | "name": "branch2", 209 | "params": { 210 | "y": { 211 | "re": 1.025897454970189, 212 | "im": -4.234983682334831 213 | }, 214 | "from": "bus1", 215 | "y_shunt_mk": 0.0246, 216 | "y_shunt_km": 0.0246, 217 | "to": "bus5" 218 | }, 219 | "type": "PiModelLine" 220 | }, 221 | { 222 | "name": "branch3", 223 | "params": { 224 | "y": { 225 | "re": 1.1350191923073958, 226 | "im": -4.781863151757718 227 | }, 228 | "from": "bus2", 229 | "y_shunt_mk": 0.0219, 230 | "y_shunt_km": 0.0219, 231 | "to": "bus3" 232 | }, 233 | "type": "PiModelLine" 234 | }, 235 | { 236 | "name": "branch4", 237 | "params": { 238 | "y": { 239 | "re": 1.686033150614943, 240 | "im": -5.115838325872083 241 | }, 242 | "from": "bus2", 243 | "y_shunt_mk": 0.017, 244 | "y_shunt_km": 0.017, 245 | "to": "bus4" 246 | }, 247 | "type": "PiModelLine" 248 | }, 249 | { 250 | "name": "branch5", 251 | "params": { 252 | "y": { 253 | "re": 1.7011396670944048, 254 | "im": -5.193927397969713 255 | }, 256 | "from": "bus2", 257 | "y_shunt_mk": 0.0173, 258 | "y_shunt_km": 0.0173, 259 | "to": "bus5" 260 | }, 261 | "type": "PiModelLine" 262 | }, 263 | { 264 | "name": "branch6", 265 | "params": { 266 | "y": { 267 | "re": 1.9859757099255606, 268 | "im": -5.0688169775939205 269 | }, 270 | "from": "bus3", 271 | "y_shunt_mk": 0.0064, 272 | "y_shunt_km": 0.0064, 273 | "to": "bus4" 274 | }, 275 | "type": "PiModelLine" 276 | }, 277 | { 278 | "name": "branch7", 279 | "params": { 280 | "from": "bus4", 281 | "Y": { 282 | "re": 6.840980661495672, 283 | "im": -21.578553981691588 284 | }, 285 | "to": "bus5" 286 | }, 287 | "type": "StaticLine" 288 | }, 289 | { 290 | "name": "branch8", 291 | "params": { 292 | "y": { 293 | "re": 0.0, 294 | "im": -4.781943381790359 295 | }, 296 | "t_ratio": 0.978, 297 | "from": "bus4", 298 | "to": "bus7" 299 | }, 300 | "type": "Transformer" 301 | }, 302 | { 303 | "name": "branch9", 304 | "params": { 305 | "y": { 306 | "re": 0.0, 307 | "im": -1.7979790715236075 308 | }, 309 | "t_ratio": 0.969, 310 | "from": "bus4", 311 | "to": "bus9" 312 | }, 313 | "type": "Transformer" 314 | }, 315 | { 316 | "name": "branch10", 317 | "params": { 318 | "y": { 319 | "re": 0.0, 320 | "im": -3.967939052456154 321 | }, 322 | "t_ratio": 0.932, 323 | "from": "bus5", 324 | "to": "bus6" 325 | }, 326 | "type": "Transformer" 327 | }, 328 | { 329 | "name": "branch11", 330 | "params": { 331 | "from": "bus6", 332 | "Y": { 333 | "re": 1.9550285631772604, 334 | "im": -4.0940743442404415 335 | }, 336 | "to": "bus11" 337 | }, 338 | "type": "StaticLine" 339 | }, 340 | { 341 | "name": "branch12", 342 | "params": { 343 | "from": "bus6", 344 | "Y": { 345 | "re": 1.525967440450974, 346 | "im": -3.1759639650294003 347 | }, 348 | "to": "bus12" 349 | }, 350 | "type": "StaticLine" 351 | }, 352 | { 353 | "name": "branch13", 354 | "params": { 355 | "from": "bus6", 356 | "Y": { 357 | "re": 3.0989274038379877, 358 | "im": -6.102755448193116 359 | }, 360 | "to": "bus13" 361 | }, 362 | "type": "StaticLine" 363 | }, 364 | { 365 | "name": "branch14", 366 | "params": { 367 | "from": "bus7", 368 | "Y": { 369 | "re": 0.0, 370 | "im": -5.676979846721544 371 | }, 372 | "to": "bus8" 373 | }, 374 | "type": "StaticLine" 375 | }, 376 | { 377 | "name": "branch15", 378 | "params": { 379 | "from": "bus7", 380 | "Y": { 381 | "re": 0.0, 382 | "im": -9.09008271975275 383 | }, 384 | "to": "bus9" 385 | }, 386 | "type": "StaticLine" 387 | }, 388 | { 389 | "name": "branch16", 390 | "params": { 391 | "from": "bus9", 392 | "Y": { 393 | "re": 3.902049552447428, 394 | "im": -10.365394127060915 395 | }, 396 | "to": "bus10" 397 | }, 398 | "type": "StaticLine" 399 | }, 400 | { 401 | "name": "branch17", 402 | "params": { 403 | "from": "bus9", 404 | "Y": { 405 | "re": 1.4240054870199312, 406 | "im": -3.0290504569306034 407 | }, 408 | "to": "bus14" 409 | }, 410 | "type": "StaticLine" 411 | }, 412 | { 413 | "name": "branch18", 414 | "params": { 415 | "from": "bus10", 416 | "Y": { 417 | "re": 1.8808847537003996, 418 | "im": -4.402943749460521 419 | }, 420 | "to": "bus11" 421 | }, 422 | "type": "StaticLine" 423 | }, 424 | { 425 | "name": "branch19", 426 | "params": { 427 | "from": "bus12", 428 | "Y": { 429 | "re": 2.4890245868219187, 430 | "im": -2.251974626172212 431 | }, 432 | "to": "bus13" 433 | }, 434 | "type": "StaticLine" 435 | }, 436 | { 437 | "name": "branch20", 438 | "params": { 439 | "from": "bus13", 440 | "Y": { 441 | "re": 1.1369941578063267, 442 | "im": -2.314963475105352 443 | }, 444 | "to": "bus14" 445 | }, 446 | "type": "StaticLine" 447 | } 448 | ], 449 | "version": "1" 450 | } 451 | -------------------------------------------------------------------------------- /ieee14-4th-order/plotting.jl: -------------------------------------------------------------------------------- 1 | using PowerDynamics: symbolsof 2 | using Plots: plot, get_color_palette, plot_color 3 | using LaTeXStrings: latexstring, @L_str 4 | 5 | function create_plot(sol) 6 | swing_indices = findall(n -> :ω ∈ symbolsof(n), sol.powergrid.nodes) 7 | ω_labels = reshape([latexstring(string(raw"\omega", "_{$i}")) for i=swing_indices], (1, length(swing_indices))) 8 | p_labels = reshape([latexstring(string(raw"p", "_{$i}")) for i=swing_indices], (1, length(swing_indices))) 9 | q_labels = reshape([latexstring(string(raw"q", "_{$i}")) for i=swing_indices], (1, length(swing_indices))) 10 | v_labels = reshape([latexstring(string(raw"v", "_{$i}")) for i=swing_indices], (1, length(swing_indices))) 11 | 12 | pl_v = plot(sol, swing_indices, :v, legend = (0.8, 0.7), ylabel=L"V [p.u.]",label = v_labels) 13 | pl_p = plot(sol, swing_indices, :p, legend = (0.8, 0.7), ylabel=L"p [p.u.]", label=p_labels) 14 | pl_q = plot(sol, swing_indices, :q, legend = (0.8, 0.7), ylabel=L"q [p.u.]", label=q_labels) 15 | pl_ω = plot(sol, swing_indices, :ω, legend = (0.8, 0.7), ylabel=L"\omega \left[rad/s\right]", label=ω_labels) 16 | pl = plot(pl_ω, pl_v, pl_p, pl_q; 17 | layout=(2,2), 18 | size = (1000, 500), 19 | lw=3, 20 | xlabel=L"t[s]" 21 | ) 22 | return pl 23 | end 24 | -------------------------------------------------------------------------------- /ieee14-4th-order/runexample.ipynb: -------------------------------------------------------------------------------- 1 | { 2 | "cells": [ 3 | { 4 | "outputs": [], 5 | "cell_type": "code", 6 | "source": [ 7 | "using PowerDynamics: SlackAlgebraic, FourthOrderEq, VoltageDependentLoad, PiModelLine, StaticLine, Transformer, PowerGrid, write_powergrid, Json, Inc, find_operationpoint, ChangeInitialConditions, LineFailure, PowerPerturbation, simulate\n", 8 | "using OrderedCollections: OrderedDict\n", 9 | "using Plots: savefig\n", 10 | "\n", 11 | "include(\"plotting.jl\")" 12 | ], 13 | "metadata": {}, 14 | "execution_count": null 15 | }, 16 | { 17 | "cell_type": "markdown", 18 | "source": [ 19 | "Data Source: Kodsi, S. K. M., & Canizares, C. A. (2003). Modeling and simulation of IEEE 14-bus system with FACTS controllers. University of Waterloo, Canada, Tech. Rep." 20 | ], 21 | "metadata": {} 22 | }, 23 | { 24 | "outputs": [], 25 | "cell_type": "code", 26 | "source": [ 27 | "buses=OrderedDict(\n", 28 | " \"bus1\"=> FourthOrderEq(T_d_dash=7.4, D=2, X_d=0.8979, X_q=0.646, Ω=50, X_d_dash=0.2995, T_q_dash=0.1, X_q_dash=0.646, P=2.32, H=5.148, E_f=1),\n", 29 | " \"bus2\"=> SlackAlgebraic(U=1),\n", 30 | " \"bus3\"=> FourthOrderEq(T_d_dash=6.1, D=2, X_d=1.05, X_q=0.98, Ω=50, X_d_dash=0.185, T_q_dash=0.4, X_q_dash=0.36, P=-0.942, H=6.54, E_f= 1),\n", 31 | " \"bus4\"=> VoltageDependentLoad(P=-0.478, Q=-0.0, U=1.0, A=0.0, B=0.0),\n", 32 | " \"bus5\"=> VoltageDependentLoad(P=-0.076, Q=-0.016, U=1.0, A=0.0, B=0.0),\n", 33 | " \"bus6\"=> FourthOrderEq(T_d_dash=4.75, D=2, X_d=1.25, X_q=1.22, Ω=50, X_d_dash=0.232, T_q_dash=1.6, X_q_dash=0.715, P=-0.122, H=5.06, E_f= 1),\n", 34 | " \"bus7\"=> VoltageDependentLoad(P=-0.0, Q=-0.0, U=1.0, A=0.0, B=0.0),\n", 35 | " \"bus8\"=> FourthOrderEq(T_d_dash=4.75, D=2, X_d=1.25, X_q=1.22, Ω=50, X_d_dash=0.232, T_q_dash=1.6, X_q_dash=0.715, P=0.0, H=5.06, E_f= 1),\n", 36 | " \"bus9\"=> VoltageDependentLoad(P=-0.295, Q=-0.166, U=1.0, A=0.0, B=0.0),\n", 37 | " \"bus10\"=> VoltageDependentLoad(P=-0.09, Q=-0.058, U=1.0, A=0.0, B=0.0),\n", 38 | " \"bus11\"=> VoltageDependentLoad(P=-0.035, Q=-0.018, U=1.0, A=0.0, B=0.0),\n", 39 | " \"bus12\"=> VoltageDependentLoad(P=-0.061, Q=-0.016, U=1.0, A=0.0, B=0.0),\n", 40 | " \"bus13\"=> VoltageDependentLoad(P=-0.135, Q=-0.058, U=1.0, A=0.0, B=0.0),\n", 41 | " \"bus14\"=> VoltageDependentLoad(P=-0.149, Q=-0.05, U=1.0, A=0.0, B=0.0));\n", 42 | "\n", 43 | "branches=OrderedDict(\n", 44 | " \"branch1\"=> PiModelLine(from= \"bus1\", to = \"bus2\",y=4.999131600798035-1im*15.263086523179553, y_shunt_km=0.0528/2, y_shunt_mk=0.0528/2),\n", 45 | " \"branch2\"=> PiModelLine(from= \"bus1\", to = \"bus5\",y=1.025897454970189-1im*4.234983682334831, y_shunt_km=0.0492/2, y_shunt_mk=0.0492/2),\n", 46 | " \"branch3\"=> PiModelLine(from= \"bus2\", to = \"bus3\",y=1.1350191923073958-1im*4.781863151757718, y_shunt_km=0.0438/2, y_shunt_mk=0.0438/2),\n", 47 | " \"branch4\"=> PiModelLine(from= \"bus2\", to = \"bus4\",y=1.686033150614943-1im*5.115838325872083, y_shunt_km=0.0340/2, y_shunt_mk=0.0340/2),\n", 48 | " \"branch5\"=> PiModelLine(from= \"bus2\", to = \"bus5\",y=1.7011396670944048-1im*5.193927397969713, y_shunt_km=0.0346/2, y_shunt_mk=0.0346/2),\n", 49 | " \"branch6\"=> PiModelLine(from= \"bus3\", to = \"bus4\",y=1.9859757099255606-1im*5.0688169775939205, y_shunt_km=0.0128/2, y_shunt_mk=0.0128/2),\n", 50 | " \"branch7\"=> StaticLine(from= \"bus4\", to = \"bus5\",Y=6.840980661495672-1im*21.578553981691588),\n", 51 | " \"branch8\"=> Transformer(from= \"bus4\", to = \"bus7\", y=0.0-1im*4.781943381790359, t_ratio=0.978),\n", 52 | " \"branch9\"=> Transformer(from= \"bus4\", to = \"bus9\", y=0.0-1im*1.7979790715236075, t_ratio=0.969),\n", 53 | " \"branch10\"=> Transformer(from= \"bus5\", to = \"bus6\", y=0.0-1im*3.967939052456154, t_ratio=0.932),\n", 54 | " \"branch11\"=> StaticLine(from= \"bus6\", to = \"bus11\",Y=1.9550285631772604-1im*4.0940743442404415),\n", 55 | " \"branch12\"=> StaticLine(from= \"bus6\", to = \"bus12\",Y=1.525967440450974-1im*3.1759639650294003),\n", 56 | " \"branch13\"=> StaticLine(from= \"bus6\", to = \"bus13\",Y=3.0989274038379877-1im*6.102755448193116),\n", 57 | " \"branch14\"=> StaticLine(from= \"bus7\", to = \"bus8\",Y=0.0-1im*5.676979846721544),\n", 58 | " \"branch15\"=> StaticLine(from= \"bus7\", to = \"bus9\",Y=0.0-1im*9.09008271975275),\n", 59 | " \"branch16\"=> StaticLine(from= \"bus9\", to = \"bus10\",Y=3.902049552447428-1im*10.365394127060915),\n", 60 | " \"branch17\"=> StaticLine(from= \"bus9\", to = \"bus14\",Y=1.4240054870199312-1im*3.0290504569306034),\n", 61 | " \"branch18\"=> StaticLine(from= \"bus10\", to = \"bus11\",Y=1.8808847537003996-1im*4.402943749460521),\n", 62 | " \"branch19\"=> StaticLine(from= \"bus12\", to = \"bus13\",Y=2.4890245868219187-1im*2.251974626172212),\n", 63 | " \"branch20\"=> StaticLine(from= \"bus13\", to = \"bus14\",Y=1.1369941578063267-1im*2.314963475105352));\n", 64 | "\n", 65 | "\n", 66 | "powergrid = PowerGrid(buses, branches)\n", 67 | "write_powergrid(powergrid,\"ieee14-4th-order.json\", Json)\n", 68 | "\n", 69 | "operationpoint = find_operationpoint(powergrid)\n", 70 | "\n", 71 | "timespan= (0.0,5.)" 72 | ], 73 | "metadata": {}, 74 | "execution_count": null 75 | }, 76 | { 77 | "cell_type": "markdown", 78 | "source": [ 79 | "simulating a frequency perturbation at node 1" 80 | ], 81 | "metadata": {} 82 | }, 83 | { 84 | "outputs": [], 85 | "cell_type": "code", 86 | "source": [ 87 | "fault1 = ChangeInitialConditions(node=\"bus1\", var=:ω, f=Inc(0.2))\n", 88 | "solution1 = simulate(fault1, powergrid, operationpoint, timespan)\n", 89 | "plot1 = create_plot(solution1)\n", 90 | "savefig(plot1, \"ieee14-4th-order-frequency-perturbation.pdf\")\n", 91 | "display(plot1)" 92 | ], 93 | "metadata": {}, 94 | "execution_count": null 95 | }, 96 | { 97 | "cell_type": "markdown", 98 | "source": [ 99 | "simulating a tripped line between node 1 and 5" 100 | ], 101 | "metadata": {} 102 | }, 103 | { 104 | "outputs": [], 105 | "cell_type": "code", 106 | "source": [ 107 | "fault2 = LineFailure(line_name=\"branch2\", tspan_fault=(1.,5.))\n", 108 | "solution2 = simulate(fault2, powergrid, operationpoint, timespan)\n", 109 | "plot2 = create_plot(solution2)\n", 110 | "savefig(plot2, \"ieee14-4th-order-line-tripping.pdf\")\n", 111 | "display(plot2)" 112 | ], 113 | "metadata": {}, 114 | "execution_count": null 115 | }, 116 | { 117 | "cell_type": "markdown", 118 | "source": [ 119 | "simulating a load drop at node 5" 120 | ], 121 | "metadata": {} 122 | }, 123 | { 124 | "outputs": [], 125 | "cell_type": "code", 126 | "source": [ 127 | "fault3 = PowerPerturbation(node=\"bus5\", fault_power=0.0, tspan_fault=(1.,5.), var=:P)\n", 128 | "solution3 = simulate(fault3, powergrid, operationpoint, timespan)\n", 129 | "plot3 = create_plot(solution3)\n", 130 | "savefig(plot3, \"ieee14-4th-order-load-drop.pdf\")\n", 131 | "display(plot3)\n", 132 | "\n", 133 | "\n", 134 | "using Weave: convert_doc\n", 135 | "convert_doc(\"runexample.jl\", \"runexample.ipynb\")" 136 | ], 137 | "metadata": {}, 138 | "execution_count": null 139 | }, 140 | { 141 | "cell_type": "markdown", 142 | "source": [ 143 | "---\n", 144 | "\n", 145 | "*This notebook was generated using [Literate.jl](https://github.com/fredrikekre/Literate.jl).*" 146 | ], 147 | "metadata": {} 148 | } 149 | ], 150 | "nbformat_minor": 3, 151 | "metadata": { 152 | "language_info": { 153 | "file_extension": ".jl", 154 | "mimetype": "application/julia", 155 | "name": "julia", 156 | "version": "1.2.0" 157 | }, 158 | "kernelspec": { 159 | "name": "julia-1.2", 160 | "display_name": "Julia 1.2.0", 161 | "language": "julia" 162 | } 163 | }, 164 | "nbformat": 4 165 | } 166 | -------------------------------------------------------------------------------- /ieee14-4th-order/runexample.jl: -------------------------------------------------------------------------------- 1 | using PowerDynamics: SlackAlgebraic, FourthOrderEq, VoltageDependentLoad, PiModelLine, StaticLine, Transformer, PowerGrid, write_powergrid, Json, Inc, find_operationpoint, ChangeInitialConditions, LineFailure, PowerPerturbation, simulate 2 | using OrderedCollections: OrderedDict 3 | using Plots: savefig 4 | 5 | include("plotting.jl") 6 | 7 | # Data Source: Kodsi, S. K. M., & Canizares, C. A. (2003). Modeling and simulation of IEEE 14-bus system with FACTS controllers. University of Waterloo, Canada, Tech. Rep. 8 | 9 | buses=OrderedDict( 10 | "bus1"=> FourthOrderEq(T_d_dash=7.4, D=2, X_d=0.8979, X_q=0.646, Ω=50, X_d_dash=0.2995, T_q_dash=0.1, X_q_dash=0.646, P=2.32, H=5.148, E_f=1), 11 | "bus2"=> SlackAlgebraic(U=1), 12 | "bus3"=> FourthOrderEq(T_d_dash=6.1, D=2, X_d=1.05, X_q=0.98, Ω=50, X_d_dash=0.185, T_q_dash=0.4, X_q_dash=0.36, P=-0.942, H=6.54, E_f= 1), 13 | "bus4"=> VoltageDependentLoad(P=-0.478, Q=-0.0, U=1.0, A=0.0, B=0.0), 14 | "bus5"=> VoltageDependentLoad(P=-0.076, Q=-0.016, U=1.0, A=0.0, B=0.0), 15 | "bus6"=> FourthOrderEq(T_d_dash=4.75, D=2, X_d=1.25, X_q=1.22, Ω=50, X_d_dash=0.232, T_q_dash=1.6, X_q_dash=0.715, P=-0.122, H=5.06, E_f= 1), 16 | "bus7"=> VoltageDependentLoad(P=-0.0, Q=-0.0, U=1.0, A=0.0, B=0.0), 17 | "bus8"=> FourthOrderEq(T_d_dash=4.75, D=2, X_d=1.25, X_q=1.22, Ω=50, X_d_dash=0.232, T_q_dash=1.6, X_q_dash=0.715, P=0.0, H=5.06, E_f= 1), 18 | "bus9"=> VoltageDependentLoad(P=-0.295, Q=-0.166, U=1.0, A=0.0, B=0.0), 19 | "bus10"=> VoltageDependentLoad(P=-0.09, Q=-0.058, U=1.0, A=0.0, B=0.0), 20 | "bus11"=> VoltageDependentLoad(P=-0.035, Q=-0.018, U=1.0, A=0.0, B=0.0), 21 | "bus12"=> VoltageDependentLoad(P=-0.061, Q=-0.016, U=1.0, A=0.0, B=0.0), 22 | "bus13"=> VoltageDependentLoad(P=-0.135, Q=-0.058, U=1.0, A=0.0, B=0.0), 23 | "bus14"=> VoltageDependentLoad(P=-0.149, Q=-0.05, U=1.0, A=0.0, B=0.0)); 24 | 25 | branches=OrderedDict( 26 | "branch1"=> PiModelLine(from= "bus1", to = "bus2",y=4.999131600798035-1im*15.263086523179553, y_shunt_km=0.0528/2, y_shunt_mk=0.0528/2), 27 | "branch2"=> PiModelLine(from= "bus1", to = "bus5",y=1.025897454970189-1im*4.234983682334831, y_shunt_km=0.0492/2, y_shunt_mk=0.0492/2), 28 | "branch3"=> PiModelLine(from= "bus2", to = "bus3",y=1.1350191923073958-1im*4.781863151757718, y_shunt_km=0.0438/2, y_shunt_mk=0.0438/2), 29 | "branch4"=> PiModelLine(from= "bus2", to = "bus4",y=1.686033150614943-1im*5.115838325872083, y_shunt_km=0.0340/2, y_shunt_mk=0.0340/2), 30 | "branch5"=> PiModelLine(from= "bus2", to = "bus5",y=1.7011396670944048-1im*5.193927397969713, y_shunt_km=0.0346/2, y_shunt_mk=0.0346/2), 31 | "branch6"=> PiModelLine(from= "bus3", to = "bus4",y=1.9859757099255606-1im*5.0688169775939205, y_shunt_km=0.0128/2, y_shunt_mk=0.0128/2), 32 | "branch7"=> StaticLine(from= "bus4", to = "bus5",Y=6.840980661495672-1im*21.578553981691588), 33 | "branch8"=> Transformer(from= "bus4", to = "bus7", y=0.0-1im*4.781943381790359, t_ratio=0.978), 34 | "branch9"=> Transformer(from= "bus4", to = "bus9", y=0.0-1im*1.7979790715236075, t_ratio=0.969), 35 | "branch10"=> Transformer(from= "bus5", to = "bus6", y=0.0-1im*3.967939052456154, t_ratio=0.932), 36 | "branch11"=> StaticLine(from= "bus6", to = "bus11",Y=1.9550285631772604-1im*4.0940743442404415), 37 | "branch12"=> StaticLine(from= "bus6", to = "bus12",Y=1.525967440450974-1im*3.1759639650294003), 38 | "branch13"=> StaticLine(from= "bus6", to = "bus13",Y=3.0989274038379877-1im*6.102755448193116), 39 | "branch14"=> StaticLine(from= "bus7", to = "bus8",Y=0.0-1im*5.676979846721544), 40 | "branch15"=> StaticLine(from= "bus7", to = "bus9",Y=0.0-1im*9.09008271975275), 41 | "branch16"=> StaticLine(from= "bus9", to = "bus10",Y=3.902049552447428-1im*10.365394127060915), 42 | "branch17"=> StaticLine(from= "bus9", to = "bus14",Y=1.4240054870199312-1im*3.0290504569306034), 43 | "branch18"=> StaticLine(from= "bus10", to = "bus11",Y=1.8808847537003996-1im*4.402943749460521), 44 | "branch19"=> StaticLine(from= "bus12", to = "bus13",Y=2.4890245868219187-1im*2.251974626172212), 45 | "branch20"=> StaticLine(from= "bus13", to = "bus14",Y=1.1369941578063267-1im*2.314963475105352)); 46 | 47 | 48 | powergrid = PowerGrid(buses, branches) 49 | write_powergrid(powergrid,"ieee14-4th-order.json", Json) 50 | 51 | operationpoint = find_operationpoint(powergrid) 52 | 53 | timespan= (0.0,5.) 54 | # simulating a frequency perturbation at node 1 55 | fault1 = ChangeInitialConditions(node="bus1", var=:ω, f=Inc(0.2)) 56 | solution1 = simulate(fault1, powergrid, operationpoint, timespan) 57 | plot1 = create_plot(solution1) 58 | savefig(plot1, "ieee14-4th-order-frequency-perturbation.pdf") 59 | display(plot1) 60 | 61 | # simulating a tripped line between node 1 and 5 62 | fault2 = LineFailure(line_name="branch2", tspan_fault=(1.,5.)) 63 | solution2 = simulate(fault2, powergrid, operationpoint, timespan) 64 | plot2 = create_plot(solution2) 65 | savefig(plot2, "ieee14-4th-order-line-tripping.pdf") 66 | display(plot2) 67 | 68 | # simulating a load drop at node 5 69 | fault3 = PowerPerturbation(node="bus5", fault_power=0.0, tspan_fault=(1.,5.), var=:P) 70 | solution3 = simulate(fault3, powergrid, operationpoint, timespan) 71 | plot3 = create_plot(solution3) 72 | savefig(plot3, "ieee14-4th-order-load-drop.pdf") 73 | display(plot3) 74 | 75 | 76 | using Weave: convert_doc 77 | convert_doc("runexample.jl", "runexample.ipynb") -------------------------------------------------------------------------------- /ieee14-minimal-power-reduction/.gitignore: -------------------------------------------------------------------------------- 1 | *.pdf 2 | *.png 3 | *.svg 4 | -------------------------------------------------------------------------------- /ieee14-minimal-power-reduction/IEEE14_busses.csv: -------------------------------------------------------------------------------- 1 | Bus Number,Bus Type,Bus Type Expl.,Base Voltage [kV],P_gen [100MW],Q_gen [100 MVAr],P_load [100MW],Q_load [100 MVAr],Inertia,Damping,Generator Capacity 2 | 1,G,G,69,2.32,0,0,0,5.148,2,615 3 | 2,S,Slack Bus,69,0.4,-0.424,0.217,0.127,6.54,2,60 4 | 3,G,Synchr. Comp.,69,0,0,0.942,0.19,6.54,2,60 5 | 4,L,Load,69,0,0,0.478,0,,, 6 | 5,L,Load,69,0,0,0.076,0.016,,, 7 | 6,G,Synchr. Comp.,13.8,0,0,0.112,0.075,5.06,2,25 8 | 7,L,Load,13.8,0,0,0,0,,, 9 | 8,G,Synchr. Comp.,18,0,0,0,0,5.06,2,25 10 | 9,L,Load,13.8,0,0,0.295,0.166,,, 11 | 10,L,Load,13.8,0,0,0.09,0.058,,, 12 | 11,L,Load,13.8,0,0,0.035,0.018,,, 13 | 12,L,Load,13.8,0,0,0.061,0.016,,, 14 | 13,L,Load,13.8,0,0,0.135,0.058,,, 15 | 14,L,Load,13.8,0,0,0.149,0.05,,, 16 | -------------------------------------------------------------------------------- /ieee14-minimal-power-reduction/IEEE14_lines.csv: -------------------------------------------------------------------------------- 1 | From Bus,To Bus,R [pu],X [pu],Line Charging,Tap ratio 2 | 1,2,0.01938,0.05917,0.0528,1 3 | 1,5,0.05403,0.22304,0.0492,1 4 | 2,3,0.04699,0.19797,0.0438,1 5 | 2,4,0.05811,0.17632,0.034,1 6 | 2,5,0.05695,0.17388,0.0346,1 7 | 3,4,0.06701,0.17103,0.0128,1 8 | 4,5,0.01335,0.04211,0,1 9 | 4,7,0,0.20912,0,0.978 10 | 4,9,0,0.55618,0,0.969 11 | 5,6,0,0.25202,0,0.932 12 | 6,11,0.09498,0.1989,0,1 13 | 6,12,0.12291,0.25581,0,1 14 | 6,13,0.06615,0.13027,0,1 15 | 7,8,0,0.17615,0,1 16 | 7,9,0,0.11001,0,1 17 | 9,10,0.03181,0.0845,0,1 18 | 9,14,0.12711,0.27038,0,1 19 | 10,11,0.08205,0.19207,0,1 20 | 12,13,0.22092,0.19988,0,1 21 | 13,14,0.17093,0.34802,0,1 22 | -------------------------------------------------------------------------------- /ieee14-minimal-power-reduction/Project.toml: -------------------------------------------------------------------------------- 1 | [deps] 2 | CSV = "336ed68f-0bac-5ca0-87d4-7b16caf5d00b" 3 | DataFrames = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0" 4 | LaTeXStrings = "b964fa9f-0449-5b57-a5c2-d3ea65f4040f" 5 | Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80" 6 | PowerDynBase = "7ffb48b1-f436-5a59-a310-b4407da33972" 7 | PowerDynOperationPoint = "95be4243-a2fd-5eef-a7d1-2e97978993e7" 8 | PowerDynSolve = "b2d36aa5-a2b1-5d23-8bd9-f353e61de00d" 9 | SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf" 10 | 11 | [compat] 12 | Julia = "^1.0" 13 | PowerDynSolve = ">=0.6.1" 14 | -------------------------------------------------------------------------------- /ieee14-minimal-power-reduction/runexample.jl: -------------------------------------------------------------------------------- 1 | begin 2 | using Pkg 3 | Pkg.activate(@__DIR__) 4 | Pkg.resolve() 5 | Pkg.instantiate() 6 | cd(@__DIR__) 7 | end 8 | 9 | begin 10 | using CSV 11 | using DataFrames 12 | using PowerDynBase 13 | using PowerDynBase: AbstractNodeParameters 14 | using PowerDynSolve 15 | using PowerDynOperationPoint 16 | using LaTeXStrings 17 | using Plots 18 | using SparseArrays 19 | end 20 | 21 | begin 22 | busses_df = CSV.read("IEEE14_busses.csv")[[2,5,6,7,8,9,10]] 23 | df_names = [:type, :P_gen, :Q_gen, :P_load, :Q_load, :intertia, :damping] 24 | names!(getfield(busses_df, :colindex), df_names) 25 | display(busses_df) 26 | 27 | lines_df = CSV.read("IEEE14_lines.csv") 28 | df_names = [:from, :to, :R, :X, :charging, :tap_ratio] 29 | names!(getfield(lines_df, :colindex), df_names) 30 | display(lines_df) 31 | end 32 | 33 | begin 34 | println("converting dataframes to types of PowerDynamics") 35 | function busdf2nodelist(busses_df) 36 | node_list = Array{AbstractNodeParameters,1}() 37 | for bus_index = 1:size(busses_df)[1] 38 | bus_data = busses_df[bus_index,:] 39 | if busses_df[bus_index,:type] == "S" 40 | append!(node_list, [SlackAlgebraic(U=1)]) 41 | elseif busses_df[bus_index,:type] == "G" 42 | append!(node_list, [SwingEqLVS( 43 | H=busses_df[bus_index,:intertia] , 44 | P=(busses_df[bus_index,:P_gen] - busses_df[bus_index,:P_load]), 45 | D=busses_df[bus_index,:damping], 46 | Ω=50, 47 | Γ= 2, 48 | V=1 49 | )]) 50 | elseif busses_df[bus_index,:type] == "L" 51 | append!(node_list, [PQAlgebraic( 52 | S= -busses_df[bus_index,:P_load] - im*busses_df[bus_index,:Q_load] 53 | )]) 54 | end 55 | end 56 | return node_list 57 | end 58 | 59 | node_list = busdf2nodelist(busses_df) 60 | node_list_power_reduction = copy(node_list) 61 | n = node_list[1] 62 | node_list_power_reduction[1] = SwingEqLVS( 63 | H=n.H, 64 | P=n.P*0.9, # 10% power reduction 65 | D=n.D, 66 | Ω=n.Ω, 67 | Γ=n.Γ, 68 | V=n.V 69 | ) 70 | @assert node_list != node_list_power_reduction 71 | # some preparation for plotting later 72 | swing_indices = findall(busses_df[:type] .== "G") 73 | ω_colors = reshape(Plots.get_color_palette(:auto, plot_color(:white), 8)[swing_indices], (1,length(swing_indices))) 74 | ω_labels = reshape([latexstring(string(raw"\omega", "_{$i}","[$(busses_df[i,:type])]")) for i=swing_indices], (1, length(swing_indices))) 75 | p_labels = reshape([latexstring(string(raw"p", "_{$i}","[$(busses_df[i,:type])]")) for i=1:length(node_list)], (1, length(node_list))) 76 | end 77 | 78 | begin 79 | function linedf2LY(lines_df, num_nodes) 80 | Y = spzeros(Complex, num_nodes, num_nodes) 81 | for line_index = 1:size(lines_df)[1] 82 | from = lines_df[line_index,:from] 83 | to = lines_df[line_index,:to] 84 | if (from > num_nodes) || (to > num_nodes) 85 | warn("Skipping line $line_index from $from to $(to)!") 86 | continue 87 | end 88 | admittance = 1/(lines_df[line_index,:R] + im*lines_df[line_index,:X]) 89 | println("$from --> $to : $admittance") 90 | Y[from, to] = - admittance 91 | Y[to, from] = - admittance 92 | Y[from, from] += admittance # note the += 93 | Y[to, to] += admittance # note the += 94 | end 95 | return Y 96 | end 97 | 98 | # admittance laplacian 99 | LY = linedf2LY(lines_df, length(node_list)) 100 | end 101 | 102 | # create network dynamics object 103 | g = GridDynamics(node_list, LY) 104 | g_power_reduction = GridDynamics(node_list_power_reduction, LY) 105 | 106 | # find the fixed point = normal operation point 107 | fp = getOperationPoint(g, ones(SystemSize(g))) 108 | 109 | begin 110 | # solve before fault (i.e. simply staying on the fixed point) 111 | sol1 = solve(g, fp, (0., 2.)) 112 | final_state1 = sol1(:final) 113 | # solve after the fault 114 | sol2 = solve(g_power_reduction, State(g_power_reduction, convert(Vector, final_state1)), (2., 3.)) 115 | final_state2 = sol2(:final) 116 | # solve after clearance of the fault 117 | sol3 = solve(g, State(g, convert(Vector, final_state2)), (3., 5.)) 118 | sol = CompositeGridSolution(sol1, sol2, sol3) 119 | end 120 | 121 | begin 122 | # pl_v = plot(sol, :, :v, legend = (0.4, 1.), ylabel=L"V [p.u.]") 123 | pl_p = plot(sol, :, :p, legend = (0.8, 0.95), ylabel=L"p [p.u.]", label=p_labels) 124 | pl_ω = plot(sol, swing_indices, :ω, legend = (0.8, 0.7), ylabel=L"\omega \left[rad/s\right]", label=ω_labels, color=ω_colors, ylims=(-0.2, 0.2)) 125 | pl = plot( 126 | # pl_v, 127 | pl_p, pl_ω; 128 | layout=(2,1), 129 | size = (500, 500), 130 | lw=3, 131 | xlabel=L"t[s]" 132 | ) 133 | display(pl) 134 | end 135 | -------------------------------------------------------------------------------- /ieee14-minimal/.gitignore: -------------------------------------------------------------------------------- 1 | *.pdf 2 | *.png 3 | *.svg 4 | -------------------------------------------------------------------------------- /ieee14-minimal/Project.toml: -------------------------------------------------------------------------------- 1 | [deps] 2 | LaTeXStrings = "b964fa9f-0449-5b57-a5c2-d3ea65f4040f" 3 | Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80" 4 | PowerDynamics = "cc46b21f-1b17-51c2-b642-af74c3d3a8be" 5 | 6 | [compat] 7 | julia = "^1.2" 8 | -------------------------------------------------------------------------------- /ieee14-minimal/README.md: -------------------------------------------------------------------------------- 1 | [![Binder](https://mybinder.org/badge_logo.svg)](https://mybinder.org/v2/gh/JuliaEnergy/PowerDynamicsExamples/master?filepath=ieee14-minimal%2Frunexample.ipynb) 2 | -------------------------------------------------------------------------------- /ieee14-minimal/ieee-14-minimal.json: -------------------------------------------------------------------------------- 1 | { 2 | "nodes": [ 3 | { 4 | "params": { 5 | "P": 2.32, 6 | "H": 5.148, 7 | "Ω": 314.1592653589793, 8 | "D": 0.006366197723675813, 9 | "Γ": 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}, 259 | "type": "StaticLine" 260 | }, 261 | { 262 | "params": { 263 | "from": 7, 264 | "Y": { 265 | "re": 0.0, 266 | "im": -5.676979846721544 267 | }, 268 | "to": 8 269 | }, 270 | "type": "StaticLine" 271 | }, 272 | { 273 | "params": { 274 | "from": 7, 275 | "Y": { 276 | "re": 0.0, 277 | "im": -9.09008271975275 278 | }, 279 | "to": 9 280 | }, 281 | "type": "StaticLine" 282 | }, 283 | { 284 | "params": { 285 | "from": 9, 286 | "Y": { 287 | "re": 3.902049552447428, 288 | "im": -10.365394127060915 289 | }, 290 | "to": 10 291 | }, 292 | "type": "StaticLine" 293 | }, 294 | { 295 | "params": { 296 | "from": 9, 297 | "Y": { 298 | "re": 1.4240054870199312, 299 | "im": -3.0290504569306034 300 | }, 301 | "to": 14 302 | }, 303 | "type": "StaticLine" 304 | }, 305 | { 306 | "params": { 307 | "from": 10, 308 | "Y": { 309 | "re": 1.8808847537003996, 310 | "im": -4.402943749460521 311 | }, 312 | "to": 11 313 | }, 314 | "type": "StaticLine" 315 | }, 316 | { 317 | "params": { 318 | "from": 12, 319 | "Y": { 320 | "re": 2.4890245868219187, 321 | "im": -2.251974626172212 322 | }, 323 | "to": 13 324 | }, 325 | "type": "StaticLine" 326 | }, 327 | { 328 | "params": { 329 | "from": 13, 330 | "Y": { 331 | "re": 1.1369941578063267, 332 | "im": -2.314963475105352 333 | }, 334 | "to": 14 335 | }, 336 | "type": "StaticLine" 337 | } 338 | ], 339 | "version": "1" 340 | } 341 | -------------------------------------------------------------------------------- /ieee14-minimal/plotting.jl: -------------------------------------------------------------------------------- 1 | using PowerDynamics: symbolsof 2 | using Plots: plot, get_color_palette, plot_color 3 | using LaTeXStrings: latexstring, @L_str 4 | 5 | function create_plot(sol) 6 | swing_indices = findall(n -> :ω ∈ symbolsof(n), sol.powergrid.nodes) 7 | ω_colors = reshape(get_color_palette(:auto, plot_color(:white), 8)[swing_indices], (1,length(swing_indices))) 8 | ω_labels = reshape([latexstring(string(raw"\omega", "_{$i}")) for i=swing_indices], (1, length(swing_indices))) 9 | p_labels = reshape([latexstring(string(raw"p", "_{$i}")) for i=1:length(sol.powergrid.nodes)], (1, length(sol.powergrid.nodes))) 10 | 11 | pl_p = plot(sol, :, :p, legend = (0.8, 0.95), ylabel=L"p [p.u.]", label=p_labels) 12 | pl_ω = plot(sol, swing_indices, :ω, legend = (0.8, 0.7), ylabel=L"\omega \left[rad/s\right]", label=ω_labels, color=ω_colors) 13 | pl = plot( 14 | pl_p, pl_ω; 15 | layout=(2,1), 16 | size = (500, 500), 17 | lw=3, 18 | xlabel=L"t[s]" 19 | ) 20 | return pl 21 | end 22 | -------------------------------------------------------------------------------- /ieee14-minimal/runexample.ipynb: -------------------------------------------------------------------------------- 1 | { 2 | "cells": [ 3 | { 4 | "outputs": [], 5 | "cell_type": "code", 6 | "source": [ 7 | "using PowerDynamics: read_powergrid, Json, find_operationpoint, Perturbation, Inc, LineFault, simulate\n", 8 | "using Plots: savefig\n", 9 | "include(\"plotting.jl\")\n", 10 | "\n", 11 | "powergrid = read_powergrid(\"ieee-14-minimal.json\", Json)\n", 12 | "\n", 13 | "operationpoint = find_operationpoint(powergrid)" 14 | ], 15 | "metadata": {}, 16 | "execution_count": null 17 | }, 18 | { 19 | "cell_type": "markdown", 20 | "source": [ 21 | "simulating a frequency perturbation at node 1" 22 | ], 23 | "metadata": {} 24 | }, 25 | { 26 | "outputs": [], 27 | "cell_type": "code", 28 | "source": [ 29 | "solution1 = simulate(Perturbation(1, :ω, Inc(0.2)), powergrid, operationpoint, timespan = (0.0,10.))\n", 30 | "plot1 = create_plot(solution1)\n", 31 | "savefig(plot1,\"ieee14-minimal-omega_perturbation.pdf\")" 32 | ], 33 | "metadata": {}, 34 | "execution_count": null 35 | }, 36 | { 37 | "cell_type": "markdown", 38 | "source": [ 39 | "simulating a tripped line between node 1 and 5" 40 | ], 41 | "metadata": {} 42 | }, 43 | { 44 | "outputs": [], 45 | "cell_type": "code", 46 | "source": [ 47 | "solution2 = simulate(LineFault(from=1,to=5), powergrid, operationpoint, timespan = (0.0,10.0))\n", 48 | "plot2 = create_plot(solution2)\n", 49 | "savefig(plot2, \"ieee14-minimal-line-fault.pdf\")" 50 | ], 51 | "metadata": {}, 52 | "execution_count": null 53 | }, 54 | { 55 | "cell_type": "markdown", 56 | "source": [ 57 | "---\n", 58 | "\n", 59 | "*This notebook was generated using [Literate.jl](https://github.com/fredrikekre/Literate.jl).*" 60 | ], 61 | "metadata": {} 62 | } 63 | ], 64 | "nbformat_minor": 3, 65 | "metadata": { 66 | "language_info": { 67 | "file_extension": ".jl", 68 | "mimetype": "application/julia", 69 | "name": "julia", 70 | "version": "1.2.0" 71 | }, 72 | "kernelspec": { 73 | "name": "julia-1.2", 74 | "display_name": "Julia 1.2.0", 75 | "language": "julia" 76 | } 77 | }, 78 | "nbformat": 4 79 | } 80 | -------------------------------------------------------------------------------- /ieee14-minimal/runexample.jl: -------------------------------------------------------------------------------- 1 | using PowerDynamics: read_powergrid, Json, find_operationpoint, Perturbation, Inc, LineFault, simulate 2 | using Plots: savefig 3 | include("plotting.jl") 4 | 5 | powergrid = read_powergrid("ieee-14-minimal.json", Json) 6 | 7 | operationpoint = find_operationpoint(powergrid) 8 | 9 | # simulating a frequency perturbation at node 1 10 | solution1 = simulate(Perturbation(1, :ω, Inc(0.2)), powergrid, operationpoint, timespan = (0.0,10.)) 11 | plot1 = create_plot(solution1) 12 | savefig(plot1,"ieee14-minimal-omega_perturbation.pdf") 13 | 14 | # simulating a tripped line between node 1 and 5 15 | solution2 = simulate(LineFault(from=1,to=5), powergrid, operationpoint, timespan = (0.0,10.0)) 16 | plot2 = create_plot(solution2) 17 | savefig(plot2, "ieee14-minimal-line-fault.pdf") 18 | -------------------------------------------------------------------------------- /notebooks/Project.toml: -------------------------------------------------------------------------------- 1 | [deps] 2 | Literate = "98b081ad-f1c9-55d3-8b20-4c87d4299306" 3 | -------------------------------------------------------------------------------- /push.sh: -------------------------------------------------------------------------------- 1 | #!/bin/bash 2 | 3 | if [[ `git status --porcelain --untracked-files=no` ]]; then 4 | # Decode private deploy SSH key 5 | openssl aes-256-cbc -k "$travis_key_password" -md sha256 -d -a -in travis_key.enc -out ./travis_key 6 | chmod 400 ./travis_key 7 | echo "Host github.com" > ~/.ssh/config 8 | echo " IdentityFile $(pwd)/travis_key" >> ~/.ssh/config 9 | git remote set-url origin git@github.com:JuliaEnergy/PowerDynamicsExamples.git 10 | echo "github.com ssh-rsa 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