Probabilistic Harmonic Calculation in Distribution  Networks with Electric Vehicle Charging Stations

<table class="table-group" id="tab7"><tr><td><table class="table"><tr><td class="thead-hr" colspan="12"><hr/></td></tr><tr class="thead"><td align="left">Node</td><td align="center">5</td><td align="center">6</td><td align="center">7</td><td align="center">8</td><td align="center">9</td><td align="center">10</td><td align="center">11</td><td align="center">22</td><td align="center">23</td><td align="center">24</td><td align="center">25</td></tr><tr><td class="thead-hr" colspan="12"><hr/></td></tr><tr><td align="left">The probability of <svg height="12.523pt" id="M107" style="vertical-align:-3.37797pt" version="1.1" viewbox="0 -9.14503 33.0958 12.523" width="33.0958pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0135,0,0,-0.0135,0,0)"><path d="M592 498C586 556 582 629 581 675H560C545 656 537 650 510 650H115C87 650 74 652 60 675H40C38 620 33 555 28 495H57C69 539 77 568 89 585C102 607 122 616 205 616H267V123C267 44 259 34 168 28V0H454V28C360 34 352 44 352 123V616H422C498 616 514 608 531 584C542 568 552 543 562 495L592 498Z" id="g190-85"></path><glyph.data ascent="989" descent="-360" horiz-adv-x="617" vert-adv-y="617"></glyph.data></g><g transform="matrix(.0135,0,0,-0.0135,8.359,0)"><path d="M729 650H468V622C546 615 554 610 554 527V365H213V527C213 610 221 616 297 622V650H38V622C120 616 128 611 128 527V123C128 39 120 34 40 28V0H303V28C221 34 213 40 213 123V322H554V123C554 39 546 34 460 28V0H728V28C647 34 639 39 639 123V527C639 610 647 615 729 622V650Z" id="g190-73"></path><glyph.data ascent="989" descent="-360" horiz-adv-x="766" vert-adv-y="766"></glyph.data></g><g transform="matrix(.0135,0,0,-0.0135,18.737,0)"><path d="M43 650V622C120 616 128 612 128 526V124C128 39 120 33 34 27V0H270C392 0 492 25 567 83C643 141 690 230 690 350C690 444 655 517 605 565C543 625 450 650 323 650H43ZM213 547C213 587 217 598 226 604C236 612 262 617 304 617C371 617 429 604 474 576C554 529 592 439 592 336C592 176 505 36 319 36C246 36 213 55 213 131V547Z" id="g190-69"></path><glyph.data ascent="989" descent="-360" horiz-adv-x="735" vert-adv-y="735"></glyph.data></g><g transform="matrix(.0095,0,0,-0.0095,28.803,3.264)"><path d="M219 86C216 168 211 250 206 337C201 410 189 448 163 448C131 448 79 396 43 344L60 322C91 359 110 375 118 375S132 358 136 298C141 238 152 81 155 -12H182C242 62 331 177 390 258C435 321 451 360 451 391C450 424 432 448 408 448C390 448 372 435 366 419C362 410 362 401 366 394C373 383 376 367 376 350C376 283 262 138 221 86H219Z" id="g185-40"></path><glyph.data ascent="989" descent="-303" horiz-adv-x="447" vert-adv-y="447"></glyph.data></g></svg> over the range/%</td><td align="center">0.4</td><td align="center">29.2</td><td align="center">49.2</td><td align="center">53.6</td><td align="center">49.2</td><td align="center">29.6</td><td align="center">3.8</td><td align="center">68.1</td><td align="center">76.1</td><td align="center">76.1</td><td align="center">49.2</td></tr><tr class="table-tr"><td colspan="12"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

The detailed information of <svg height="12.523pt" id="M106" style="vertical-align:-3.37797pt" version="1.1" viewbox="0 -9.14503 33.0958 12.523" width="33.0958pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0135,0,0,-0.0135,0,0)"><path d="M592 498C586 556 582 629 581 675H560C545 656 537 650 510 650H115C87 650 74 652 60 675H40C38 620 33 555 28 495H57C69 539 77 568 89 585C102 607 122 616 205 616H267V123C267 44 259 34 168 28V0H454V28C360 34 352 44 352 123V616H422C498 616 514 608 531 584C542 568 552 543 562 495L592 498Z" id="g190-85"></path><glyph.data ascent="989" descent="-360" horiz-adv-x="617" vert-adv-y="617"></glyph.data></g><g transform="matrix(.0135,0,0,-0.0135,8.359,0)"><path d="M729 650H468V622C546 615 554 610 554 527V365H213V527C213 610 221 616 297 622V650H38V622C120 616 128 611 128 527V123C128 39 120 34 40 28V0H303V28C221 34 213 40 213 123V322H554V123C554 39 546 34 460 28V0H728V28C647 34 639 39 639 123V527C639 610 647 615 729 622V650Z" id="g190-73"></path><glyph.data ascent="989" descent="-360" horiz-adv-x="766" vert-adv-y="766"></glyph.data></g><g transform="matrix(.0135,0,0,-0.0135,18.737,0)"><path d="M43 650V622C120 616 128 612 128 526V124C128 39 120 33 34 27V0H270C392 0 492 25 567 83C643 141 690 230 690 350C690 444 655 517 605 565C543 625 450 650 323 650H43ZM213 547C213 587 217 598 226 604C236 612 262 617 304 617C371 617 429 604 474 576C554 529 592 439 592 336C592 176 505 36 319 36C246 36 213 55 213 131V547Z" id="g190-69"></path><glyph.data ascent="989" descent="-360" horiz-adv-x="735" vert-adv-y="735"></glyph.data></g><g transform="matrix(.0095,0,0,-0.0095,28.803,3.264)"><path d="M219 86C216 168 211 250 206 337C201 410 189 448 163 448C131 448 79 396 43 344L60 322C91 359 110 375 118 375S132 358 136 298C141 238 152 81 155 -12H182C242 62 331 177 390 258C435 321 451 360 451 391C450 424 432 448 408 448C390 448 372 435 366 419C362 410 362 401 366 394C373 383 376 367 376 350C376 283 262 138 221 86H219Z" id="g185-40"></path><glyph.data ascent="989" descent="-303" horiz-adv-x="447" vert-adv-y="447"></glyph.data></g></svg> over the range.

Journal of Applied Mathematics

tab7

Table 7

Table 7: Probabilistic Harmonic Calculation in Distribution  Networks with Electric Vehicle Charging Stations 