Vibration Control of Wind Turbine Blade Based on Data Fitting and Pole Placement with Minimum-Order Observer

<table class="figure-group"><tr class="fig-image" id="a"><td><object data="https://static.hindawi.com/articles/sv/volume-2018/5737359/figures/5737359.fig.006a.svgz" name="5737359.fig.006a" type="image/svg+xml"></object></td></tr><tr class="fig-caption"><td><b>(a) </b>The uncontrolled displacements</td></tr><tr class="fig-image" id="b"><td><object data="https://static.hindawi.com/articles/sv/volume-2018/5737359/figures/5737359.fig.006b.svgz" name="5737359.fig.006b" type="image/svg+xml"></object></td></tr><tr class="fig-caption"><td><b>(b) </b>The displacements controlled by PPMO method</td></tr><tr class="fig-image" id="c"><td><object data="https://static.hindawi.com/articles/sv/volume-2018/5737359/figures/5737359.fig.006c.svgz" name="5737359.fig.006c" type="image/svg+xml"></object></td></tr><tr class="fig-caption"><td><b>(c) </b>Comparisons of control effects between PPMO and LQR</td></tr></table>

<div>The uncontrolled displacements (a) and those controlled by PPMO (b) under the condition of wind speed of <svg height="8.8423pt" id="M177" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 37.0362 8.8423" width="37.0362pt" 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="M715 650H476L470 622C550 619 562 610 562 570C562 536 553 481 535 384L523 321C485 121 408 37 283 37C178 37 99 109 134 297L178 532C193 612 199 616 278 622L284 650H29L23 622C105 616 109 609 94 532L48 291C23 160 51 83 98 40C143 -1 202 -16 260 -16C321 -16 387 3 439 49C509 111 542 204 563 312L577 384C595 479 608 533 619 569C629 603 637 620 709 622L715 650Z" id="g113-86"></path></g><g transform="matrix(.013,0,0,-0.013,13.086,0)"><path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z" id="g117-34"></path></g><g transform="matrix(.013,0,0,-0.013,24.349,0)"><path d="M412 140C382 77 369 73 315 73H129L270 222C362 320 402 379 402 466C402 571 322 635 234 635C177 635 130 609 99 576L42 495L64 475C90 514 133 568 201 568C274 568 318 519 318 435C318 349 255 267 193 193C144 135 87 78 32 23V0H405C417 45 427 89 440 131L412 140Z" id="g113-51"></path></g><g transform="matrix(.013,0,0,-0.013,30.589,0)"><path d="M241 635C89 635 35 457 35 312C35 153 89 -12 240 -12C390 -12 443 166 443 312C443 466 390 635 241 635ZM238 602C329 602 354 454 354 312C354 172 330 22 240 22C152 22 124 173 124 313S148 602 238 602Z" id="g113-49"></path></g></svg> m/s, with comparisons of control effects between PPMO and LQR demonstrated in (c).</div>

Shock and Vibration

fig6

Figure 6

Figure 6: Vibration Control of Wind Turbine Blade Based on Data Fitting and Pole Placement with Minimum-Order Observer 