“Dose-Response” Vulnerability Assessment of Urban Power Supply Network: Foundation for Its Sustainability and Resilience

<div>Load comparison of each node on different status of functional performance. (White bar: maximum load threshold <svg height="11.927pt" id="M53" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 13.8983 11.927" width="13.8983pt" 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="M645 631C614 643 545 666 457 666C215 666 23 519 23 283C23 90 158 -16 337 -16C412 -16 489 2 522 10C543 39 590 127 606 167L580 181C519 89 459 18 348 18C201 18 122 136 122 287C122 464 244 632 435 632C544 632 602 595 608 472L639 475C643 526 645 581 645 631Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,8.619,3.132)"><path d="M485 418C485 434 469 451 441 451C389 451 312 387 255 335C221 304 194 278 159 242H157L259 678C264 698 264 710 255 710C242 710 183 681 96 673L90 643L128 642C165 641 171 640 162 602L24 -5L31 -12C51 -4 81 4 110 9L145 181C154 195 180 220 205 242C233 170 263 106 291 53C318 1 335 -12 360 -12C383 -12 425 0 483 82L463 105C437 79 411 57 400 57C388 57 378 68 355 110C329 156 288 244 268 298C299 333 355 376 405 376C426 376 440 373 448 368C453 365 465 368 468 373C477 386 485 405 485 418Z"></path></g></svg> of each node. Red bar: load of each node when the functional performance reached minimum point in Figure <a href="../fig8/">8</a>. Black bar: load of each node when the functional performance reached maximum point in Figure <a href="../fig8/">8</a>.)</div>

Mathematical Problems in Engineering

fig9

Figure 9

Figure 9: “Dose-Response” Vulnerability Assessment of Urban Power Supply Network: Foundation for Its Sustainability and Resilience 