Fault Diagnosis of Capacitance Aging in DC Link Capacitors of Voltage Source Inverters Using Evidence Reasoning Rule

<table class="table-group" id="tab9"><tr><td><table class="table"><tr><td class="thead-hr" colspan="13"><hr/></td></tr><tr class="thead"><td class="align_center" colspan="2" rowspan="3"><i>C</i></td><td class="align_center" colspan="10"><i>V</i><sub><i>P</i></sub></td><td class="align_center" rowspan="3">Total</td></tr><tr class="thead"><td class="align_center"><span style="width: 15.4524ptpx;"><svg height="15.608pt" id="M167" style="vertical-align:-3.833899pt" version="1.1" viewbox="-0.0498162 -11.7741 15.4524 15.608" width="15.4524pt" 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="M686 28C612 35 607 44 591 112C563 234 541 360 519 489L489 666L457 658L147 121C100 40 89 36 24 28L17 0H240L250 28C168 34 159 41 190 101L262 237H482C495 180 503 137 510 91C517 47 514 35 441 28L433 0H677L686 28ZM475 280H285L429 541H431L475 280Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,9.135,-5.741)"><path d="M622 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360C207 394 148 427 148 499C148 549 182 600 240 600ZM252 23C188 23 129 73 129 163C129 217 162 266 211 298C289 260 360 217 360 144C360 69 312 23 252 23Z"></path></g></svg></span></td><td class="align_center"><span style="width: 15.4524ptpx;"><svg height="15.7176pt" id="M175" style="vertical-align:-3.9435pt" version="1.1" viewbox="-0.0498162 -11.7741 15.4524 15.7176" width="15.4524pt" 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="M686 28C612 35 607 44 591 112C563 234 541 360 519 489L489 666L457 658L147 121C100 40 89 36 24 28L17 0H240L250 28C168 34 159 41 190 101L262 237H482C495 180 503 137 510 91C517 47 514 35 441 28L433 0H677L686 28ZM475 280H285L429 541H431L475 280Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,9.135,-5.741)"><path d="M622 479C622 589 545 650 400 650H146L140 618C229 609 230 602 215 527L135 132C117 43 112 41 27 32L18 0H305L313 32C213 40 205 44 222 132L251 284L324 262H365C484 269 622 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243 598Z"></path></g></svg></span></td></tr><tr class="thead"><td class="align_center">6.7877</td><td class="align_center">7.8030</td><td class="align_center">8.1517</td><td class="align_center">8.4575</td><td class="align_center">8.8254</td><td class="align_center">9.1441</td><td class="align_center">9.5400</td><td class="align_center">9.9043</td><td class="align_center">10.3445</td><td class="align_center">10.7758</td></tr><tr><td class="thead-hr" colspan="13"><hr/></td></tr><tr><td class="align_left"><i>D</i><sub>1</sub></td><td class="align_center">1</td><td class="align_center">14.7558</td><td class="align_center">111.6242</td><td class="align_center">99.3861</td><td class="align_center">56.5894</td><td class="align_center">33.5273</td><td class="align_center">3.6031</td><td class="align_center">0.5140</td><td class="align_center">0</td><td class="align_center">0</td><td class="align_center">0</td><td class="align_center">320.0000</td></tr><tr><td class="align_left"><i>D</i><sub>2</sub></td><td class="align_center">2</td><td class="align_center">0</td><td class="align_center">3.9400</td><td class="align_center">16.0655</td><td class="align_center">59.1711</td><td class="align_center">98.3794</td><td class="align_center">88.4319</td><td class="align_center">45.0296</td><td class="align_center">8.9332</td><td class="align_center">0.0493</td><td class="align_center">0</td><td class="align_center">320.0000</td></tr><tr><td class="align_left"><i>D</i><sub>3</sub></td><td class="align_center">3</td><td class="align_center">0</td><td class="align_center">0</td><td class="align_center">0</td><td class="align_center">0</td><td class="align_center">1.9566</td><td class="align_center">30.8117</td><td class="align_center">67.5026</td><td class="align_center">130.7243</td><td class="align_center">82.5786</td><td class="align_center">6.4262</td><td class="align_center">320.0000</td></tr><tr><td class="align_center" colspan="2">Total</td><td class="align_center">14.7558</td><td class="align_center">115.5642</td><td class="align_center">115.4516</td><td class="align_center">115.7605</td><td class="align_center">133.8633</td><td class="align_center">122.8467</td><td class="align_center">113.0462</td><td class="align_center">139.6575</td><td class="align_center">82.6279</td><td class="align_center">6.4262</td><td class="align_center">960.0000</td></tr><tr class="table-tr"><td colspan="13"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Optimized casting result table of sample pairs (<i>V</i><sub><i>P</i></sub>(<i>t</i>), <i>C</i>(<i>t</i>)).</div>

Mathematical Problems in Engineering

tab9

Table 9

Table 9: Fault Diagnosis of Capacitance Aging in DC Link Capacitors of Voltage Source Inverters Using Evidence Reasoning Rule 