Sufficient Condition for the Parallel Flow Problem of Electromagnetic Loop Networks

<table class="table-group" id="tab2"><tr><td><table class="table"><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr class="thead"><td class="align_left">Type of EMLN</td><td class="align_center">Minimum values of <svg height="9.14241pt" id="M160" style="vertical-align:-3.1815pt" version="1.1" viewbox="-0.0498162 -5.96091 14.8195 9.14241" width="14.8195pt" 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="M495 86L479 114C446 82 419 66 409 66C401 66 401 72 406 97C420 166 436 231 453 297C489 435 454 448 428 448C406 448 384 439 354 422C305 394 222 327 161 247H159L183 345C200 415 194 448 173 448C143 448 82 410 23 351L38 325C64 349 95 371 105 371C111 371 116 365 109 336L25 -4L31 -12C50 -4 77 3 107 9C119 69 132 122 145 168C197 254 321 381 370 381C387 381 393 374 378 305L329 95C309 17 320 -12 345 -12C372 -12 430 19 495 86Z" id="g113-111"></path></g><g transform="matrix(.0091,0,0,-0.0091,6.461,3.132)"><path d="M870 650H600L593 618C681 609 684 605 669 516L641 367H261L286 516C302 603 313 610 391 618L398 650H132L123 618C214 610 218 606 200 516L127 130C113 46 107 40 25 32L18 0H290L298 32C204 40 200 42 214 130L250 321H631L596 131C580 47 573 39 484 32L475 0H753L762 32C673 39 668 46 685 130L757 516C772 606 778 610 861 618L870 650Z" id="g50-73"></path></g></svg></td></tr><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr><td class="align_left">1000 kV/500 kV</td><td class="align_center">1.7511</td></tr><tr><td class="align_left">765 kV/345 kV</td><td class="align_center">1.8035</td></tr><tr><td class="align_left">500 kV/220 kV</td><td class="align_center">1.7971</td></tr><tr><td class="align_left">380 kV/220 kV</td><td class="align_center">1.6484</td></tr><tr><td class="align_left">230 kV/115 kV</td><td class="align_center">1.7749</td></tr><tr class="table-tr"><td colspan="2"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Minimum values of <svg height="9.14241pt" id="M159" style="vertical-align:-3.1815pt" version="1.1" viewbox="-0.0498162 -5.96091 14.8195 9.14241" width="14.8195pt" 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="M495 86L479 114C446 82 419 66 409 66C401 66 401 72 406 97C420 166 436 231 453 297C489 435 454 448 428 448C406 448 384 439 354 422C305 394 222 327 161 247H159L183 345C200 415 194 448 173 448C143 448 82 410 23 351L38 325C64 349 95 371 105 371C111 371 116 365 109 336L25 -4L31 -12C50 -4 77 3 107 9C119 69 132 122 145 168C197 254 321 381 370 381C387 381 393 374 378 305L329 95C309 17 320 -12 345 -12C372 -12 430 19 495 86Z" id="g113-111"></path></g><g transform="matrix(.0091,0,0,-0.0091,6.461,3.132)"><path d="M870 650H600L593 618C681 609 684 605 669 516L641 367H261L286 516C302 603 313 610 391 618L398 650H132L123 618C214 610 218 606 200 516L127 130C113 46 107 40 25 32L18 0H290L298 32C204 40 200 42 214 130L250 321H631L596 131C580 47 573 39 484 32L475 0H753L762 32C673 39 668 46 685 130L757 516C772 606 778 610 861 618L870 650Z" id="g50-73"></path></g></svg> for the studied types of EMLNs to be strong EMLNs.</div>

Mathematical Problems in Engineering

tab2

Table 2

Table 2: Sufficient Condition for the Parallel Flow Problem of Electromagnetic Loop Networks 