Wireless Energy Transmission Link Optimization considering Microwave Energy Relay

<table class="table-group" id="tab3"><tr><td><table class="table"><tr><td class="thead-hr" colspan="5"><hr/></td></tr><tr class="thead"><td class="align_left" rowspan="2">Serial number</td><td class="align_center" colspan="2">Decision variable</td><td class="align_center" colspan="2">Objective value</td></tr><tr class="thead"><td class="align_center"><span style="width: 17.8495ptpx;"><svg height="11.9087pt" id="M97" style="vertical-align:-3.2728pt" version="1.1" viewbox="-0.0498162 -8.6359 17.8495 11.9087" width="17.8495pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M822 650H589L583 622C660 617 677 607 674 561C672 534 664 481 647 390L600 137H596L273 650H126L120 622C176 620 194 615 207 594C221 571 225 557 214 504L161 257C141 166 129 112 121 85C108 42 83 30 29 28L23 0H260L266 28C193 33 173 42 176 89C178 122 186 172 202 255L256 527H259L583 -8H612L690 390C708 481 720 535 728 558C744 603 756 619 816 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289 120 289C135 370 180 412 225 412Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,16.099,3.784)"><path d="M181 342V451C133 431 89 419 40 411V388C98 381 102 377 102 311V104C102 38 95 32 33 26V0H263V26C186 32 181 38 181 104V287C203 343 235 372 261 372C277 372 289 366 304 352C310 346 318 345 330 350C349 359 362 379 362 399C362 422 338 449 304 449C256 449 213 393 183 342H181Z"></path></g></svg> (m<sup>2</sup>)</td><td class="align_center"><svg height="9.39034pt" id="M99" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -5.96091 21.049 9.39034" width="21.049pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M471 401C471 442 455 448 440 448C421 448 389 439 366 424C314 390 233 331 165 242H163L187 345C193 372 197 393 197 409C197 435 189 448 174 448C146 448 80 408 23 349L40 327C64 351 97 373 107 373C115 373 118 366 111 337L29 -4L36 -12C56 -4 83 3 110 9C123 69 136 126 150 172C227 283 336 381 377 381C392 381 396 370 379 298L326 74C290 -77 273 -172 273 -197C273 -219 316 -261 346 -261L353 -246C348 -227 352 -174 374 -66L457 310C467 352 471 381 471 401Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,6.097,3.132)"><path d="M238 0V26C174 32 166 38 166 104V712C132 700 70 683 18 677V653C81 647 87 645 87 577V104C87 38 78 32 15 26V0H238Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,8.399,3.132)"><path d="M135 536C164 536 186 560 186 587C186 617 164 639 136 639C109 639 85 617 85 587C85 560 109 536 135 536ZM252 0V26C188 32 181 38 181 106V451C138 433 90 420 39 412V388C99 379 102 374 102 312V106C102 38 95 32 32 26V0H252Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,10.838,3.132)"><path d="M524 0V26C466 32 460 36 460 104V297C460 393 411 449 331 449C302 449 276 437 248 419C223 402 201 387 181 372V451C137 432 90 420 42 411V388C96 378 102 374 102 310V104C102 38 97 33 29 26V0H246V26C187 32 181 36 181 104V339C211 365 250 390 290 390C357 390 381 345 381 276V109C381 40 374 32 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595 608 472L639 475C643 526 645 581 645 631Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,8.619,3.132)"><path d="M238 0V26C174 32 166 38 166 104V712C132 700 70 683 18 677V653C81 647 87 645 87 577V104C87 38 78 32 15 26V0H238Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,10.921,3.132)"><path d="M135 536C164 536 186 560 186 587C186 617 164 639 136 639C109 639 85 617 85 587C85 560 109 536 135 536ZM252 0V26C188 32 181 38 181 106V451C138 433 90 420 39 412V388C99 379 102 374 102 312V106C102 38 95 32 32 26V0H252Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,13.36,3.132)"><path d="M524 0V26C466 32 460 36 460 104V297C460 393 411 449 331 449C302 449 276 437 248 419C223 402 201 387 181 372V451C137 432 90 420 42 411V388C96 378 102 374 102 310V104C102 38 97 33 29 26V0H246V26C187 32 181 36 181 104V339C211 365 250 390 290 390C357 390 381 345 381 276V109C381 40 374 32 315 26V0H524Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,18.383,3.132)"><path d="M513 0V26C475 28 448 43 413 81C379 116 277 234 258 264C301 314 319 334 344 359C383 396 404 407 473 418V443L269 434V408C317 403 320 395 299 364C280 337 250 298 228 276C213 260 195 247 165 241V712C126 699 69 682 21 677V653C82 648 87 642 87 576V104C87 40 81 32 14 26V0H237V26C173 32 165 38 165 104V215C171 217 176 218 181 218C189 218 198 212 212 196C267 129 330 49 376 -2L513 0Z"></path></g></svg> (CNY)</td></tr><tr><td class="thead-hr" colspan="5"><hr/></td></tr><tr><td class="align_left">1</td><td class="align_center">0</td><td class="align_center">0</td><td class="align_center">0.057547</td><td class="align_center">0</td></tr><tr><td class="align_left">2</td><td class="align_center">1</td><td class="align_center">4.5</td><td class="align_center">0.204328</td><td class="align_center">76799</td></tr><tr><td class="align_left">3</td><td class="align_center">1</td><td class="align_center">12</td><td class="align_center">0.544805</td><td class="align_center">154799</td></tr><tr><td class="align_left">4</td><td class="align_center">1</td><td class="align_center">19</td><td class="align_center">0.862794</td><td class="align_center">227599</td></tr><tr><td class="align_left">5</td><td class="align_center">2</td><td class="align_center">17.5</td><td class="align_center">1.123708</td><td class="align_center">423998</td></tr><tr><td class="align_left">6</td><td class="align_center">2</td><td class="align_center">21.5</td><td class="align_center">1.519537</td><td class="align_center">507198</td></tr><tr><td class="align_left">7</td><td class="align_center">5</td><td class="align_center">8</td><td class="align_center">1.811696</td><td class="align_center">565995</td></tr><tr><td class="align_left">8</td><td class="align_center">4</td><td class="align_center">13.5</td><td class="align_center">2.777558</td><td class="align_center">681596</td></tr><tr><td class="align_left">9</td><td class="align_center">3</td><td class="align_center">23.5</td><td class="align_center">4.051886</td><td class="align_center">823197</td></tr><tr class="table-tr"><td colspan="5"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>The Pareto solution of link planning 6.</div>

Complexity

tab3

Table 3

Table 3: Wireless Energy Transmission Link Optimization considering Microwave Energy Relay 