永磁同步电机SVPWM调制原理图解分析_黄葳.rar_三电平_三电平 SVPWM_matlab例程

<html xmlns="http://www.w3.org/1999/xhtml"> <head> <meta charset="utf-8"> <meta name="generator" content="pdf2htmlEX"> <meta http-equiv="X-UA-Compatible" content="IE=edge,chrome=1"> <link rel="stylesheet" href="https://static.pudn.com/base/css/base.min.css"> <link rel="stylesheet" href="https://static.pudn.com/base/css/fancy.min.css"> <link rel="stylesheet" href="https://static.pudn.com/prod/directory_preview_static/6257fda260196e4b84c3be12/raw.css"> <script src="https://static.pudn.com/base/js/compatibility.min.js"></script> <script src="https://static.pudn.com/base/js/pdf2htmlEX.min.js"></script> <script> try{ pdf2htmlEX.defaultViewer = new pdf2htmlEX.Viewer({}); }catch(e){} </script> <title></title> </head> <body> <div id="sidebar" style="display: none"> <div id="outline"> </div> </div> <div id="pf1" class="pf w0 h0" data-page-no="1"><div class="pc pc1 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="https://static.pudn.com/prod/directory_preview_static/6257fda260196e4b84c3be12/bg1.jpg"><div class="c x0 y1 w2 h0"><div class="t m0 x1 h2 y2 ff1 fs0 fc0 sc0 ls0 ws0">《<span class="ls1 ws1">汽车电器》</span></div><div class="t m0 x2 h3 y3 ff2 fs0 fc0 sc0 ls1 ws1">2018年 <span class="_ _0"></span>第9期</div></div><div class="t m0 x3 h4 y4 ff3 fs1 fc1 sc0 ls0 ws0">1</div><div class="c x0 y1 w2 h0"><div class="t m0 x4 h5 y5 ff4 fs2 fc2 sc0 ls2 ws2">新能源</div><div class="t m0 x5 h6 y6 ff5 fs3 fc2 sc0 ls3 ws0">Industry Focus</div><div class="t m0 x6 h7 y7 ff4 fs4 fc3 sc0 ls4 ws3">行业聚焦</div></div><div class="t m0 x7 h8 y8 ff3 fs3 fc2 sc0 ls0 ws0">收稿日期：<span class="ff6">2018-07-27；</span>修回日期：<span class="ff6">2018-08-07</span></div><div class="t m1 x8 h9 y9 ff3 fs5 fc2 sc0 ls5 ws4">永磁同步电机SVPWM调制原理图解分析</div><div class="t m0 x9 ha ya ff3 fs2 fc2 sc0 ls2 ws2">黄 <span class="_ _1"> </span>葳</div><div class="t m0 xa hb yb ff7 fs2 fc2 sc0 ls2 ws2">（南京越博动力系统股份有限公司，江苏 <span class="_ _2"></span> <span class="_ _2"></span>南京 <span class="_ _2"></span> <span class="_ _2"></span>210000）</div><div class="t m0 xb hc yc ff3 fs0 fc2 sc0 ls6 ws5">摘要：<span class="ff6">本文绕过CLARK与PARK变换，通过图解分析方法简明扼要地论述永磁同步电机空间矢量调制</span></div><div class="t m0 xc hc yd ff6 fs0 fc2 sc0 ls1 ws1">（SVPWM）原理，并以此计算出三相桥臂门极驱动PWM占空比与调制系数、矢量电压角度的关系。</div><div class="t m0 xb hc ye ff3 fs0 fc2 sc0 ls1 ws1">关键词：<span class="ff6">SVPWM；调制；图解分析</span></div><div class="t m0 xb hc yf ff3 fs0 fc2 sc0 ls1 ws1">中图分类号：<span class="ff6">U463.6</span> <span class="_ _3"> </span> <span class="_ _3"> </span>文献标志码：<span class="ff6 ls0 ws0">A</span> <span class="_ _3"> </span> <span class="_ _3"> </span>文章编号：<span class="ff6">1003-8639（2018）09-0001-05</span></div><div class="t m0 xd hd y10 ff8 fs0 fc2 sc0 ls0 ws0">Permanent Magnet Synchronous Motor SVPWM Principle Discussed By Geometrical Analysis</div><div class="t m0 xe hc y11 ff6 fs0 fc2 sc0 ls0 ws0">HUANG Wei</div><div class="t m0 xf hc y12 ff6 fs0 fc2 sc0 ls0 ws0">（Nanjing YueBoo Power System Co.，Ltd.，Nanjing 210000，China）</div><div class="t m0 xb hd y13 ff8 fs0 fc2 sc0 ls0 ws0">Abstract</div><div class="t m0 x10 hc y14 ff6 fs0 fc2 sc0 ls0 ws0">：In <span class="_ _2"></span>this <span class="_ _4"></span>paper，the <span class="_ _2"></span>Space <span class="_ _4"></span>Vector <span class="_ _2"></span>Modulation <span class="_ _4"></span>（SVPWM） <span class="_ _2"></span>principle <span class="_ _4"></span>of <span class="_ _2"></span>permanent <span class="_ _4"></span>magnet <span class="_ _2"></span>synchronous <span class="_ _4"></span>motor <span class="_ _2"></span>is </div><div class="t m0 xc hc y15 ff6 fs0 fc2 sc0 ls0 ws0">briefly <span class="_ _4"></span>discussed <span class="_ _2"></span>by <span class="_ _4"></span>means <span class="_ _4"></span>of <span class="_ _4"></span>geometrical <span class="_ _4"></span>analysis <span class="_ _2"></span>method，bypassing <span class="_ _4"></span>CLARK <span class="_ _4"></span>and <span class="_ _4"></span>PARK <span class="_ _4"></span>transformation. <span class="_ _2"></span>The <span class="_ _4"></span>relation <span class="_ _4"></span>between </div><div class="t m0 xc hc y16 ff6 fs0 fc2 sc0 ls0 ws0">PWM duty ，modulation coefficient and vector voltage angle is calculated.</div><div class="t m0 xb hd y17 ff8 fs0 fc2 sc0 ls0 ws0">Key words</div><div class="t m0 x11 hc y18 ff6 fs0 fc2 sc0 ls0 ws0">： SVPWM； modulation； geometrical analysis</div><div class="t m0 xc he y19 ff9 fs0 fc2 sc0 ls7 ws6">永磁同步电机常见的控制方法有梯形波法</div><div class="t m0 x12 hc y1a ff6 fs0 fc2 sc0 ls0 ws0">、</div><div class="t m0 x13 he y19 ff9 fs0 fc2 sc0 ls7 ws6">正弦脉</div><div class="t m0 x14 he y1b ff9 fs0 fc2 sc0 ls8 ws7">宽调制法</div><div class="t m0 xb hc y1c ff6 fs0 fc2 sc0 ls8 ws7">（</div><div class="t m0 x15 hc y1b ff6 fs0 fc2 sc0 ls8 ws7">SPWM</div><div class="t m0 x16 hc y1c ff6 fs0 fc2 sc0 ls8 ws7">）、</div><div class="t m0 x17 he y1b ff9 fs0 fc2 sc0 ls8 ws7">空间矢量脉宽调制法</div><div class="t m0 x18 hc y1c ff6 fs0 fc2 sc0 ls8 ws7">（</div><div class="t m0 x19 hc y1b ff6 fs0 fc2 sc0 ls8 ws7">SVPWM</div><div class="t m0 x1a hc y1c ff6 fs0 fc2 sc0 ls8 ws7">），</div><div class="t m0 x14 he y1d ff9 fs0 fc2 sc0 ls9 ws8">其中空间矢量脉宽调制算法相对其他两种方法具有较高的</div><div class="t m0 x14 he y1e ff9 fs0 fc2 sc0 lsa ws9">系统效率</div><div class="t m0 xb hc y1f ff6 fs0 fc2 sc0 ls0 ws0">。</div><div class="t m0 x1b he y1e ff9 fs0 fc2 sc0 lsa ws9">目前讨论</div><div class="t m0 x1c hc y20 ff6 fs0 fc2 sc0 lsa ws9">SVPW</div><div class="t m0 x1d he y21 ff6 fs0 fc2 sc0 lsa ws9">M<span class="ff9">算法大多使用</span>CLARK<span class="ff9">变换与</span></div><div class="t m0 x14 he y22 ff6 fs0 fc2 sc0 lsb wsa">PARK<span class="ff9">变换</span></div><div class="t m0 x1e hc y23 ff6 fs0 fc2 sc0 ls0 ws0">（</div><div class="t m0 x8 he y22 ff9 fs0 fc2 sc0 ls0 ws0">将<span class="_ _4"></span><span class="ff6 lsb wsa">ABC<span class="ff9">三相静止坐标系变换成</span></span></div><div class="t m0 x1f hc y23 ff6 fs0 fc2 sc0 lsb wsa">αβ</div><div class="t m0 x12 he y22 ff9 fs0 fc2 sc0 lsb wsa">两相正交</div><div class="t m0 x14 he y24 ff9 fs0 fc2 sc0 lsc wsb">静止坐标</div><div class="t m0 xb hc y25 ff6 fs0 fc2 sc0 ls0 ws0">，</div><div class="t m0 x15 he y24 ff9 fs0 fc2 sc0 lsc wsb">再用</div><div class="t m0 x20 hc y25 ff6 fs0 fc2 sc0 lsc wsb">αβ</div><div class="t m0 x21 he y24 ff9 fs0 fc2 sc0 lsc wsb">坐标系描述正交旋转坐标<span class="ff6">dq</span></div><div class="t m0 x22 hc y25 ff6 fs0 fc2 sc0 lsc wsb">，</div><div class="t m0 x23 he y24 ff9 fs0 fc2 sc0 lsc wsb">最终通</div><div class="t m0 x14 he y26 ff9 fs0 fc2 sc0 ls0 ws0">过<span class="_ _2"></span><span class="ff6 lsd wsc">dq<span class="ff9">合成所需量</span></span></div><div class="t m0 xd hc y27 ff6 fs0 fc2 sc0 lsd wsc">）。</div><div class="t m0 x1c hc y26 ff6 fs0 fc2 sc0 lsd wsc">C</div><div class="t m0 x17 hc y28 ff6 fs0 fc2 sc0 lsd wsc">LARK</div><div class="t m0 x24 he y29 ff9 fs0 fc2 sc0 lsd wsc">变换与<span class="ff6">PARK</span>变换原理不易理</div><div class="t m0 x14 he y2a ff9 fs0 fc2 sc0 ls0 ws0">解</div><div class="t m0 x25 hc y2b ff6 fs0 fc2 sc0 ls0 ws0">，</div><div class="t m0 x7 he y2a ff9 fs0 fc2 sc0 ls9 ws8">并且其复杂的推导过程和大量的计算公式让许多初学</div><div class="t m0 x14 he y2c ff9 fs0 fc2 sc0 ls1 ws1">者望而生畏</div><div class="t m0 x26 hc y2d ff6 fs0 fc2 sc0 ls0 ws0">。</div><div class="t m0 xc he y2e ff9 fs0 fc2 sc0 lse wsd">本文通过图解分析的方法</div><div class="t m0 x27 hc y2f ff6 fs0 fc2 sc0 ls0 ws0">，</div><div class="t m0 x28 he y2e ff9 fs0 fc2 sc0 lse wsd">简明扼要地论述永磁同步</div><div class="t m0 x14 he y30 ff9 fs0 fc2 sc0 lsf wse">电机空间矢量调制</div><div class="t m0 x29 hc y31 ff6 fs0 fc2 sc0 lsf wse">（</div><div class="t m0 x2a hc y30 ff6 fs0 fc2 sc0 lsf wse">SVP</div><div class="t m0 x2b hc y32 ff6 fs0 fc2 sc0 lsf wse">WM</div><div class="t m0 x2c hc y33 ff6 fs0 fc2 sc0 lsf wse">）</div><div class="t m0 x2d he y32 ff9 fs0 fc2 sc0 lsf wse">原</div><div class="t m0 x2e he y34 ff9 fs0 fc2 sc0 lsf wse">理</div><div class="t m0 x2f hc y35 ff6 fs0 fc2 sc0 ls0 ws0">。</div><div class="t m0 x30 he y34 ff9 fs0 fc2 sc0 lsf wse">并以此计算出三相</div><div class="t m0 x14 he y36 ff9 fs0 fc2 sc0 ls10 wsf">桥臂门极驱动<span class="ff6">PWM</span>占空比与调制系数</div><div class="t m0 x31 hc y37 ff6 fs0 fc2 sc0 ls0 ws0">、</div><div class="t m0 x32 he y36 ff9 fs0 fc2 sc0 ls10 wsf">矢量电压角度的关</div><div class="t m0 x14 he y38 ff9 fs0 fc2 sc0 ls0 ws0">系</div><div class="t m0 x25 hc y39 ff6 fs0 fc2 sc0 ls0 ws0">。</div><div class="t m0 x14 hf y3a ffa fs6 fc2 sc0 ls11 ws10">1 <span class="_ _5"> </span>基本电压矢量</div><div class="t m0 xc he y3b ff9 fs0 fc2 sc0 ls10 wsf">三相桥电压型逆变器如图<span class="ffb ls0 ws0">1<span class="_ _2"></span></span>所示</div><div class="t m0 x33 hc y3c ff6 fs0 fc2 sc0 ls0 ws0">。</div><div class="t m0 x34 he y3b ff9 fs0 fc2 sc0 ls10 wsf">桥臂的开通用</div><div class="t m0 x35 hc y3c ff6 fs0 fc2 sc0 ls0 ws0">“</div><div class="t m0 x36 h10 y3b ffb fs0 fc2 sc0 ls0 ws0">1</div><div class="t m0 x37 hc y3c ff6 fs0 fc2 sc0 ls0 ws0">”</div><div class="t m0 x14 he y3d ff9 fs0 fc2 sc0 ls1 ws1">表示</div><div class="t m0 x7 hc y3e ff6 fs0 fc2 sc0 ls0 ws0">，</div><div class="t m0 x38 he y3d ff9 fs0 fc2 sc0 ls1 ws1">桥臂的关断用</div><div class="t m0 x39 hc y3e ff6 fs0 fc2 sc0 ls0 ws0">“</div><div class="t m0 x17 h10 y3d ffb fs0 fc2 sc0 ls0 ws0">0</div><div class="t m0 x3a hc y3e ff6 fs0 fc2 sc0 ls0 ws0">”</div><div class="t m0 x3b he y3d ff9 fs0 fc2 sc0 ls1 ws1">表示</div><div class="t m0 x27 hc y3e ff6 fs0 fc2 sc0 ls0 ws0">。</div><div class="t m0 x10 h11 y3f ff3 fs7 fc4 sc0 ls0 ws0">图<span class="ff8 ls12 ws11">1 <span class="_ _5"> </span><span class="ff3">三相电压型逆变器</span></span></div><div class="t m0 x3c he y40 ff9 fs0 fc2 sc0 lse wsd">由于相同桥臂不允许同时开通以避免桥臂短路</div><div class="t m0 x3d hc y41 ff6 fs0 fc2 sc0 ls0 ws0">，</div><div class="t m0 x3e he y40 ff9 fs0 fc2 sc0 lse wsd">因此</div><div class="t m0 x3f he y42 ff9 fs0 fc2 sc0 ls13 ws12">三相逆变器桥臂的工作状态由<span class="ff6 ls0 ws0">a</span></div><div class="t m0 x4 hc y43 ff6 fs0 fc2 sc0 ls0 ws0">、</div><div class="t m0 x40 hc y42 ff6 fs0 fc2 sc0 ls0 ws0">b</div><div class="t m0 x41 hc y43 ff6 fs0 fc2 sc0 ls0 ws0">、</div><div class="t m0 x42 he y42 ff6 fs0 fc2 sc0 ls0 ws0">c<span class="_ _2"></span><span class="ff9 ls13 ws12">三个场效应管的工作</span></div><div class="t m0 x3f he y44 ff9 fs0 fc2 sc0 ls1 ws1">状态决定</div><div class="t m0 x43 hc y45 ff6 fs0 fc2 sc0 ls0 ws0">，</div><div class="t m0 x44 he y44 ff9 fs0 fc2 sc0 ls1 ws1">对应</div><div class="t m0 x45 he y46 ffb fs0 fc2 sc0 ls0 ws0">8<span class="ff9 ls1 ws1">种基本电压矢量</span></div><div class="t m0 x46 hc y47 ff6 fs0 fc2 sc0 ls0 ws0">，</div><div class="t m0 x47 he y46 ff9 fs0 fc2 sc0 ls1 ws1">见表<span class="ffb ls0 ws0">1</span></div><div class="t m0 x48 hc y47 ff6 fs0 fc2 sc0 ls0 ws0">。</div><div class="t m0 x49 h11 y48 ff3 fs7 fc4 sc0 ls0 ws0">表<span class="ff8 ls12 ws11">1 <span class="_ _5"> </span><span class="ff3">桥臂状态及其相应基本矢量</span></span></div><div class="t m0 x4a hc y49 ff6 fs0 fc2 sc0 ls0 ws0">a<span class="_ _6"> </span>b<span class="_ _6"> </span>c<span class="_ _7"> </span><span class="ls1 ws1">基本电压矢量</span></div><div class="t m0 x4a hc y4a ff6 fs0 fc2 sc0 ls0 ws0">0<span class="_ _6"> </span>0<span class="_ _8"> </span>0</div><div class="t m0 x4b h12 y4b ffc fs0 fc2 sc0 ls0 ws0">U</div><div class="t m0 x4c h13 y4c ff6 fs8 fc2 sc0 ls0 ws0">0</div><div class="t m0 x4a hc y4d ff6 fs0 fc2 sc0 ls0 ws0">0<span class="_ _8"> </span>0<span class="_ _6"> </span>1</div><div class="t m0 x4b h12 y4e ffc fs0 fc2 sc0 ls0 ws0">U</div><div class="t m0 x4c h13 y4f ff6 fs8 fc2 sc0 ls0 ws0">1</div><div class="t m0 x4a hc y50 ff6 fs0 fc2 sc0 ls0 ws0">0<span class="_ _8"> </span>1<span class="_ _6"> </span>0</div><div class="t m0 x4b h12 y51 ffc fs0 fc2 sc0 ls0 ws0">U</div><div class="t m0 x4c h13 y52 ff6 fs8 fc2 sc0 ls0 ws0">2</div><div class="t m0 x4a hc y53 ff6 fs0 fc2 sc0 ls0 ws0">0<span class="_ _8"> </span>1<span class="_ _6"> </span>1</div><div class="t m0 x4b h12 y54 ffc fs0 fc2 sc0 ls0 ws0">U</div><div class="t m0 x4c h13 y55 ff6 fs8 fc2 sc0 ls0 ws0">3</div><div class="t m0 x4a hc y56 ff6 fs0 fc2 sc0 ls0 ws0">1<span class="_ _8"> </span>0<span class="_ _6"> </span>0</div><div class="t m0 x4b h12 y57 ffc fs0 fc2 sc0 ls0 ws0">U</div><div class="t m0 x4c h13 y58 ff6 fs8 fc2 sc0 ls0 ws0">4</div><div class="t m0 x4a hc y59 ff6 fs0 fc2 sc0 ls0 ws0">1<span class="_ _8"> </span>0<span class="_ _6"> </span>1</div><div class="t m0 x4b h12 y5a ffc fs0 fc2 sc0 ls0 ws0">U</div><div class="t m0 x4c h13 y5b ff6 fs8 fc2 sc0 ls0 ws0">5</div><div class="t m0 x4a hc y5c ff6 fs0 fc2 sc0 ls0 ws0">1<span class="_ _8"> </span>1<span class="_ _6"> </span>0</div><div class="t m0 x4b h12 y5d ffc fs0 fc2 sc0 ls0 ws0">U</div><div class="t m0 x4c h13 y5e ff6 fs8 fc2 sc0 ls0 ws0">6</div><div class="t m0 x4a hc y5f ff6 fs0 fc2 sc0 ls0 ws0">1<span class="_ _8"> </span>1<span class="_ _6"> </span>1</div><div class="t m0 x4b h12 y60 ffc fs0 fc2 sc0 ls0 ws0">U</div><div class="t m0 x4c h13 y61 ff6 fs8 fc2 sc0 ls0 ws0">7</div><div class="t m0 x3c he y62 ff9 fs0 fc2 sc0 ls14 ws13">假设<span class="ff6">ABC</span>相线的位置如图<span class="ffb ls0 ws0">2<span class="_ _2"></span></span>所示</div><div class="t m0 x42 hc y63 ff6 fs0 fc2 sc0 ls0 ws0">，</div><div class="t m0 x4d he y62 ff9 fs0 fc2 sc0 ls14 ws13">假设射线<span class="ff6">AN</span>方向为</div><div class="t m0 x3f h10 y64 ffb fs0 fc2 sc0 ls0 ws0">0</div><div class="t m0 x4e hc y65 ff6 fs0 fc2 sc0 ls0 ws0">°</div><div class="t m0 x4f he y64 ff9 fs0 fc2 sc0 ls1 ws1">方向</div><div class="t m0 x50 hc y65 ff6 fs0 fc2 sc0 ls0 ws0">。</div><div class="t m0 x3c he y66 ff9 fs0 fc2 sc0 ls15 ws14">当桥臂工作状态为<span class="ffb">000</span><span class="ls0 ws0">和<span class="_ _9"></span></span><span class="ffb">111</span></div><div class="t m0 x51 he y67 ff9 fs0 fc2 sc0 ls0 ws0">时</div><div class="t m0 x52 hc y68 ff6 fs0 fc2 sc0 ls0 ws0">：</div><div class="t m0 x53 hc y67 ff6 fs0 fc2 sc0 ls0 ws0">|</div><div class="t m0 x54 h12 y69 ffc fs0 fc2 sc0 ls0 ws0">U</div><div class="t m0 x55 h13 y6a ff6 fs8 fc2 sc0 ls16 ws15">AN</div><div class="t m0 x56 hc y6b ff6 fs0 fc2 sc0 ls15 ws14">|=|</div><div class="t m0 x57 h12 y6c ffc fs0 fc2 sc0 ls0 ws0">U</div><div class="t m0 x58 h13 y6a ff6 fs8 fc2 sc0 ls16 ws15">BN</div><div class="t m0 x59 hc y6b ff6 fs0 fc2 sc0 ls15 ws14">|=|</div><div class="t m0 x5a h12 y6c ffc fs0 fc2 sc0 ls0 ws0">U</div><div class="t m0 x3 h13 y6a ff6 fs8 fc2 sc0 ls16 ws15">CN</div><div class="t m0 x5b hc y6b ff6 fs0 fc2 sc0 ls0 ws0">|</div><div class="t m0 x3f hc y6d ff6 fs0 fc2 sc0 ls0 ws0">=<span class="ffb">0</span></div><div class="t m0 x5c hc y6e ff6 fs0 fc2 sc0 ls0 ws0">；</div><div class="t m0 x5d he y6d ff9 fs0 fc2 sc0 ls1 ws1">所以合成的基本电压矢量</div><div class="t m0 x5e h12 y6f ffc fs0 fc2 sc0 ls0 ws0">U</div><div class="t m0 x4 h14 y70 ffb fs8 fc2 sc0 ls0 ws0">0</div><div class="t m0 x5f hc y71 ff6 fs0 fc2 sc0 ls0 ws0">、</div><div class="t m0 x60 h12 y72 ffc fs0 fc2 sc0 ls0 ws0">U</div><div class="t m0 x61 h14 y70 ffb fs8 fc2 sc0 ls0 ws0">7</div><div class="t m0 x62 he y73 ff9 fs0 fc2 sc0 ls0 ws0">为<span class="ffb">0</span></div><div class="t m0 x63 hc y74 ff6 fs0 fc2 sc0 ls0 ws0">。</div><div class="t m0 x3c he y75 ff9 fs0 fc2 sc0 ls1 ws1">当桥臂工作状态为<span class="ffb">001</span><span class="ls0 ws0">时</span></div><div class="t m0 x64 hc y76 ff6 fs0 fc2 sc0 ls0 ws0">：</div><div class="t m0 x65 h10 y77 ffb fs0 fc2 sc0 ls0 ws0">1</div><div class="t m0 x65 h10 y78 ffb fs0 fc2 sc0 ls0 ws0">3</div><div class="t m0 x66 hc y79 ff6 fs0 fc2 sc0 ls0 ws0">|</div><div class="t m0 x67 h12 y7a ffc fs0 fc2 sc0 ls0 ws0">U</div><div class="t m0 x68 h13 y7b ff6 fs8 fc2 sc0 ls17 ws16">AN</div><div class="t m0 x69 hc y79 ff6 fs0 fc2 sc0 ls1 ws1">| = <span class="_ _2"></span>|</div><div class="t m0 x6a h12 y7a ffc fs0 fc2 sc0 ls0 ws0">U</div><div class="t m0 x6b h13 y7b ff6 fs8 fc2 sc0 ls17 ws16">BN</div><div class="t m0 x6c hc y79 ff6 fs0 fc2 sc0 ls1 ws1">| = <span class="_ _2"></span> <span class="_ _2"></span> <span class="_ _2"></span> <span class="_ _2"></span> <span class="_ _2"></span></div><div class="t m0 x6d h12 y7a ffc fs0 fc2 sc0 ls0 ws0">U</div><div class="t m0 x6e h13 y7b ff6 fs8 fc2 sc0 ls17 ws16">dc</div><div class="t m0 x6f h10 y7c ffb fs0 fc2 sc0 ls0 ws0">2</div><div class="t m0 x6f h10 y7d ffb fs0 fc2 sc0 ls0 ws0">3</div><div class="t m0 x69 hc y7e ff6 fs0 fc2 sc0 ls0 ws0">|</div><div class="t m0 x70 h12 y7f ffc fs0 fc2 sc0 ls0 ws0">U</div><div class="t m0 x71 h13 y80 ff6 fs8 fc2 sc0 ls17 ws16">CN</div><div class="t m0 x6a hc y7e ff6 fs0 fc2 sc0 ls1 ws1">| = <span class="_ _2"></span> <span class="_ _2"></span> <span class="_ _2"></span> <span class="_ _2"></span></div><div class="t m0 x72 h12 y7f ffc fs0 fc2 sc0 ls0 ws0">U</div><div class="t m0 x73 h13 y80 ff6 fs8 fc2 sc0 ls17 ws16">dc</div><div class="t m0 x3c he y81 ff9 fs0 fc2 sc0 ls1 ws1">基本电压矢量</div><div class="t m0 x74 h12 y82 ffc fs0 fc2 sc0 ls0 ws0">U</div><div class="t m0 x75 h14 y83 ffb fs8 fc2 sc0 ls0 ws0">1</div><div class="t m0 x76 he y81 ff9 fs0 fc2 sc0 ls1 ws1">如图<span class="ffb ls0 ws0">3</span>所示</div><div class="t m0 x77 hc y84 ff6 fs0 fc2 sc0 ls0 ws0">。</div><div class="t m0 x3c he y85 ff6 fs0 fc2 sc0 ls18 ws17"> <span class="_ _5"> </span> <span class="_ _5"> </span><span class="ff9 ls1 ws1">角度为</span></div><div class="t m0 x78 hc y86 ff6 fs0 fc2 sc0 ls0 ws0">，</div><div class="t m0 x79 he y87 ff9 fs0 fc2 sc0 ls0 ws0">即</div><div class="t m0 x1 hc y86 ff6 fs0 fc2 sc0 ls0 ws0">：</div><div class="t m0 x7a he y87 ff9 fs0 fc2 sc0 ls1 ws1">基本电压矢量</div><div class="t m0 x3e hc y88 ff6 fs0 fc2 sc0 ls0 ws0">，</div><div class="t m0 xb h15 y89 ffd fs1 fc5 sc0 ls0 ws0">DOI:10.13273/j.cnki.qcdq.2018.09.002</div></div><div class="pi" data-data='{"ctm":[1.575191,0.000000,0.000000,1.575191,0.000000,0.000000]}'></div></div> </body> </html>