A DCT-Based Driving Cycle Generation Method and Its Application for Electric Vehicles

<table class="figure-group"><tr class="fig-image" id="a"><td><object data="https://static.hindawi.com/articles/mpe/volume-2015/178902/figures/178902.fig.004a.svgz" name="178902.fig.004a" type="image/svg+xml"></object></td></tr><tr class="fig-caption"><td><b>(a) </b>Distance-based driving cycle</td></tr><tr class="fig-image" id="b"><td><object data="https://static.hindawi.com/articles/mpe/volume-2015/178902/figures/178902.fig.004b.svgz" name="178902.fig.004b" type="image/svg+xml"></object></td></tr><tr class="fig-caption"><td><b>(b) </b>The DCT coefficients</td></tr><tr class="fig-image" id="c"><td><object data="https://static.hindawi.com/articles/mpe/volume-2015/178902/figures/178902.fig.004c.svgz" name="178902.fig.004c" type="image/svg+xml"></object></td></tr><tr class="fig-caption"><td><b>(c) </b>The relative energy of <svg height="13.9887pt" id="M89" style="vertical-align:-2.1507pt" version="1.1" viewbox="-0.0498162 -11.838 30.1166 13.9887" width="30.1166pt" 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="M593 650H142L136 622C219 616 224 611 209 531L130 120C114 39 108 34 23 28L17 0H501C518 32 557 130 568 158L540 169C519 132 495 93 469 70C439 43 409 35 332 35C272 35 241 37 225 50C211 61 211 89 222 149L253 320H350C441 320 443 312 441 239H471L510 434H481C455 366 448 358 360 358H260L303 572C311 613 312 615 348 615H431C509 615 522 603 532 581C544 555 546 531 545 491L574 493C583 555 592 631 593 650Z" id="g113-70"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="616" vert-adv-y="616"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,8.008,-5.741)"><path d="M611 626L575 651L170 -9L204 -35L611 626ZM200 635C93 635 50 532 50 449C50 365 94 264 199 264C306 264 349 365 349 450C349 534 304 635 200 635ZM199 601C264 601 273 501 273 450S264 298 200 298C139 298 126 398 126 450S139 601 199 601ZM590 359C485 359 440 256 440 173C440 89 485 -12 589 -12C694 -12 738 89 738 173C738 256 694 359 590 359ZM589 325C653 325 662 225 662 173C662 124 653 22 590 22C529 22 516 122 516 174C516 227 529 325 589 325Z" id="g58-35"></path><glyph.data ascent="1007" descent="-369" horiz-adv-x="786" vert-adv-y="786"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,15.686,0)"><path d="M290 -163V-135C183 -126 181 -122 181 -44V583C181 662 184 666 290 675V703H120V-163H290Z" id="g113-92"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="345" vert-adv-y="345"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,20.171,0)"><path d="M383 397C383 424 344 448 299 448C244 448 172 409 132 375C66 319 23 227 23 146C23 42 74 -12 146 -12C208 -12 298 30 359 103L343 124C315 95 248 48 192 48C145 48 111 85 111 163C111 228 129 294 151 330C171 363 201 401 241 401C275 401 302 384 325 356C332 347 339 344 348 348C373 360 383 381 383 397Z" id="g113-100"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="406" vert-adv-y="406"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,25.453,0)"><path d="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z" id="g113-94"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="345" vert-adv-y="345"></glyph.data></g></svg></td></tr></table>

<div>The energy-compaction property of the DCT.</div>

Mathematical Problems in Engineering

fig4

Figure 4

Figure 4: A DCT-Based Driving Cycle Generation Method and Its Application for Electric Vehicles 