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<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/625847c192dc900e62854e39/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/625847c192dc900e62854e39/bg1.jpg"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls0 ws0">c</div><div class="t m0 x2 h3 y2 ff2 fs0 fc0 sc0 ls0 ws0">&#58893;<span class="_ _0"> </span><span class="ff1">ARISER<span class="_"> </span>V<span class="_ _1"></span>ol.<span class="_"> </span>4<span class="_"> </span>No.<span class="_"> </span>1<span class="_"> </span>(2008)<span class="_"> </span>19-27</span></div><div class="t m0 x3 h4 y3 ff3 fs1 fc1 sc0 ls0 ws0">Sciences:<span class="_"> </span>CS&amp;IT</div><div class="t m0 x4 h5 y4 ff3 fs0 fc2 sc0 ls0 ws0">Arab<span class="_"> </span>Resear<span class="_ _2"></span>ch<span class="_"> </span>Institute<span class="_"> </span>in<span class="_"> </span>Sciences<span class="_"> </span>&amp;<span class="_"> </span>Engineering</div><div class="t m0 x5 h5 y5 ff3 fs0 fc2 sc0 ls0 ws0">http://www<span class="_ _2"></span>.ar<span class="_ _2"></span>abrise.or<span class="_ _2"></span>g</div><div class="t m0 x6 h5 y6 ff3 fs0 fc2 sc0 ls0 ws0">Online<span class="_"> </span>Publishing<span class="_"> </span>Gr<span class="_ _2"></span>oup<span class="_"> </span>ISSN<span class="_"> </span>1994-3253</div><div class="t m0 x7 h6 y7 ff4 fs2 fc2 sc0 ls0 ws0">Backstepping<span class="_ _3"> </span>Contr<span class="_ _2"></span>ol<span class="_ _3"> </span>based<span class="_ _3"> </span>on<span class="_ _3"> </span>L<span class="_ _2"></span>yapuno<span class="_ _2"></span>v<span class="_ _3"> </span>Theory<span class="_ _3"> </span>for<span class="_ _3"> </span>Sensorless</div><div class="t m0 x8 h6 y8 ff4 fs2 fc2 sc0 ls0 ws0">Induction<span class="_ _3"> </span>Motor<span class="_ _3"> </span>with<span class="_ _3"> </span>Sliding<span class="_ _3"> </span>Mode<span class="_ _3"> </span>Observ<span class="_ _2"></span>er</div><div class="t m0 x9 h7 y9 ff1 fs3 fc0 sc0 ls0 ws0">S.<span class="_"> </span>CHA<span class="_ _2"></span>OUCH</div><div class="t m0 xa h8 ya ff1 fs4 fc0 sc0 ls0 ws0">1</div><div class="t m0 xb h7 y9 ff1 fs3 fc0 sc0 ls0 ws0">,<span class="_"> </span>M.S.<span class="_"> </span>N<span class="_ _2"></span>A</div><div class="t m0 xc h7 yb ff1 fs3 fc0 sc0 ls0 ws0">&#168;</div><div class="t m0 xc h7 y9 ff1 fs3 fc0 sc0 ls0 ws0">IT<span class="_ _1"></span>-SA</div><div class="t m0 xd h7 yb ff1 fs3 fc0 sc0 ls0 ws0">&#168;</div><div class="t m0 xd h7 y9 ff1 fs3 fc0 sc0 ls0 ws0">ID</div><div class="t m0 xe h8 ya ff1 fs4 fc0 sc0 ls0 ws0">1</div><div class="t m0 xf h7 y9 ff1 fs3 fc0 sc0 ls0 ws0">,<span class="_"> </span>A.<span class="_"> </span>MAK<span class="_ _2"></span>OUF</div><div class="t m0 x10 h8 ya ff1 fs4 fc0 sc0 ls0 ws0">1</div><div class="t m0 x11 h7 y9 ff1 fs3 fc0 sc0 ls0 ws0">and<span class="_"> </span>L.<span class="_"> </span>CHERIFI</div><div class="t m0 x12 h8 ya ff1 fs4 fc0 sc0 ls0 ws0">2</div><div class="t m0 x9 h9 yc ff1 fs5 fc0 sc0 ls0 ws0">1</div><div class="t m0 x8 h5 yd ff3 fs0 fc0 sc0 ls0 ws0">Laboratoir<span class="_ _2"></span>e<span class="_"> </span>des<span class="_"> </span>syst</div><div class="t m0 x13 h5 ye ff3 fs0 fc0 sc0 ls0 ws0">`</div><div class="t m0 x13 h5 yd ff3 fs0 fc0 sc0 ls0 ws0">emes<span class="_"> </span>Pr<span class="_ _2"></span>opulsion&#8211;<span class="_"> </span>Induction<span class="_"> </span>Electr<span class="_ _2"></span>omagn</div><div class="t m0 x14 h5 ye ff3 fs0 fc0 sc0 ls0 ws0">&#180;</div><div class="t m0 x14 h5 yd ff3 fs0 fc0 sc0 ls0 ws0">etiques<span class="_"> </span>(LSPIE),</div><div class="t m0 x15 h5 yf ff3 fs0 fc0 sc0 ls0 ws0">D</div><div class="t m0 x16 h5 y10 ff3 fs0 fc0 sc0 ls0 ws0">&#180;</div><div class="t m0 x16 h5 yf ff3 fs0 fc0 sc0 ls0 ws0">epartement<span class="_"> </span>GE,<span class="_"> </span>Universit</div><div class="t m0 x17 h5 y10 ff3 fs0 fc0 sc0 ls0 ws0">&#180;</div><div class="t m0 x17 h5 yf ff3 fs0 fc0 sc0 ls0 ws0">e<span class="_"> </span>de<span class="_"> </span>Batna,<span class="_"> </span>Rue<span class="_"> </span>Mohamed<span class="_"> </span>Bouklouf<span class="_"> </span>05000,<span class="_"> </span>Batna,<span class="_"> </span>ALGERIA</div><div class="t m0 x18 h3 y11 ff2 fs0 fc0 sc0 ls0 ws0">{<span class="ff3">chaouc<span class="_ _2"></span>hsouad;<span class="_"> </span>medsaid.naitsaid;<span class="_"> </span>a<span class="_ _3"> </span>mak<span class="_ _2"></span>ouf<span class="ff2">}</span>@yahoo.fr</span></div><div class="t m0 x19 h9 y12 ff1 fs5 fc0 sc0 ls0 ws0">2</div><div class="t m0 x1a h5 y13 ff3 fs0 fc0 sc0 ls0 ws0">D</div><div class="t m0 x1b h5 y14 ff3 fs0 fc0 sc0 ls0 ws0">&#180;</div><div class="t m0 x1b h5 y13 ff3 fs0 fc0 sc0 ls0 ws0">epartement<span class="_"> </span>GEII,<span class="_"> </span>L<span class="_ _2"></span>TI,<span class="_"> </span>Universit</div><div class="t m0 x1c h5 y14 ff3 fs0 fc0 sc0 ls0 ws0">&#180;</div><div class="t m0 x1c h5 y13 ff3 fs0 fc0 sc0 ls0 ws0">e<span class="_"> </span>de<span class="_"> </span>Picar<span class="_ _2"></span>die<span class="_"> </span>J<span class="_ _2"></span>ules<span class="_"> </span>V<span class="_ _1"></span>erne,<span class="_"> </span>13<span class="_"> </span>A<span class="_ _2"></span>venue<span class="_"> </span>F<span class="_ _2"></span>ranc<span class="_ _4"></span>&#184;<span class="_ _5"></span>ois<span class="_"> </span>Mitterrand<span class="_ _6"> </span>02880,<span class="_"> </span>Cuf&#64257;es,<span class="_ _6"> </span>FRANCE</div><div class="t m0 x1d h5 y15 ff3 fs0 fc0 sc0 ls0 ws0">larbi.alaoui@u-picar<span class="_ _2"></span>die.fr</div><div class="t m0 x1e h7 y16 ff1 fs3 fc0 sc0 ls0 ws0">Receiv<span class="_ _2"></span>ed<span class="_"> </span>19<span class="_"> </span>January<span class="_"> </span>2008;<span class="_"> </span>Accepted<span class="_"> </span>13<span class="_"> </span>February<span class="_"> </span>2008</div><div class="t m0 x1f h7 y17 ff1 fs3 fc0 sc0 ls0 ws0">Abstract-<span class="_ _7"> </span>This<span class="_ _7"> </span>paper<span class="_ _7"> </span>deals<span class="_ _7"> </span>with<span class="_ _7"> </span>the<span class="_ _7"> </span>sensorless<span class="_ _7"> </span>&#64257;eld-oriented-control<span class="_ _7"> </span>(FOC)<span class="_ _7"> </span>of<span class="_ _7"> </span>an<span class="_ _7"> </span>induction<span class="_ _7"> </span>motor</div><div class="t m0 x19 h7 y18 ff1 fs3 fc0 sc0 ls0 ws0">designed<span class="_ _8"> </span>from<span class="_ _8"> </span>backstepping<span class="_ _8"> </span>method<span class="_ _8"> </span>and<span class="_ _8"> </span>using<span class="_ _8"> </span>an<span class="_ _8"> </span>adaptiv<span class="_ _2"></span>e<span class="_ _8"> </span>sliding<span class="_ _8"> </span>mode<span class="_ _8"> </span>observer<span class="_ _2"></span>.<span class="_ _8"> </span>Backstepping<span class="_ _8"> </span>control</div><div class="t m0 x19 h7 y19 ff1 fs3 fc0 sc0 ls0 ws0">is<span class="_ _3"> </span>conducted<span class="_ _8"> </span>to<span class="_ _3"> </span>substitute<span class="_ _3"> </span>the<span class="_ _3"> </span>conv<span class="_ _2"></span>entional<span class="_ _3"> </span>PI&#8211;controller<span class="_ _3"> </span>used<span class="_ _3"> </span>into<span class="_ _3"> </span>a<span class="_ _3"> </span>con<span class="_ _2"></span>ventional<span class="_ _3"> </span>FOC<span class="_ _3"> </span>structure<span class="_ _3"> </span>for<span class="_ _3"> </span>an</div><div class="t m0 x19 h7 y1a ff1 fs3 fc0 sc0 ls0 ws0">induction<span class="_ _9"> </span>machine.<span class="_ _9"> </span>This<span class="_ _9"> </span>latter<span class="_ _9"> </span>allo<span class="_ _2"></span>ws<span class="_ _9"> </span>obtaining<span class="_ _9"> </span>the<span class="_ _9"> </span>high<span class="_ _9"> </span>performances<span class="_ _9"> </span>control<span class="_ _9"> </span>for<span class="_ _9"> </span>the<span class="_ _9"> </span>speed,<span class="_ _9"> </span>&#64258;ux<span class="_ _9"> </span>and</div><div class="t m0 x19 h7 y1b ff1 fs3 fc0 sc0 ls0 ws0">currents<span class="_ _a"> </span>of<span class="_ _a"> </span>the<span class="_ _a"> </span>machine<span class="_ _a"> </span>dri<span class="_ _2"></span>ve.<span class="_ _a"> </span>The<span class="_ _a"> </span>backstepping<span class="_ _a"> </span>control<span class="_ _a"> </span>purpose<span class="_ _a"> </span>is<span class="_ _a"> </span>based<span class="_ _a"> </span>on<span class="_ _a"> </span>stability<span class="_ _a"> </span>analysis<span class="_ _a"> </span>established</div><div class="t m0 x19 h7 y1c ff1 fs3 fc0 sc0 ls0 ws0">from<span class="_ _3"> </span>L<span class="_ _2"></span>yapunov<span class="_ _3"> </span>theory<span class="_ _3"> </span>which<span class="_ _9"> </span>permits<span class="_ _3"> </span>to<span class="_ _3"> </span>perform<span class="_ _9"> </span>the<span class="_ _3"> </span>control<span class="_ _3"> </span>system<span class="_ _9"> </span>law<span class="_ _8"> </span>step<span class="_ _9"> </span>by<span class="_ _3"> </span>step.<span class="_ _3"> </span>Controlled<span class="_ _9"> </span>rotor</div><div class="t m0 x19 h7 y1d ff1 fs3 fc0 sc0 ls0 ws0">&#64258;ux<span class="_ _b"> </span>and<span class="_ _b"> </span>speed<span class="_ _b"> </span>are<span class="_ _b"> </span>gi<span class="_ _2"></span>ven<span class="_ _b"> </span>from<span class="_ _b"> </span>an<span class="_ _b"> </span>adaptiv<span class="_ _2"></span>e<span class="_ _b"> </span>sliding<span class="_ _b"> </span>mode<span class="_ _b"> </span>observer<span class="_ _2"></span>.<span class="_ _9"> </span>The<span class="_ _b"> </span>proposed<span class="_ _b"> </span>control<span class="_ _b"> </span>approach<span class="_ _b"> </span>is</div><div class="t m0 x19 h7 y1e ff1 fs3 fc0 sc0 ls0 ws0">veri&#64257;ed<span class="_"> </span>to<span class="_"> </span>be<span class="_ _6"> </span>hyperstable<span class="_"> </span>with<span class="_"> </span>L<span class="_ _2"></span>yapunov<span class="_"> </span>criterion<span class="_"> </span>and<span class="_"> </span>the<span class="_ _6"> </span>computer<span class="_"> </span>simulations<span class="_"> </span>show<span class="_"> </span>interesting<span class="_"> </span>obtained</div><div class="t m0 x19 h7 y1f ff1 fs3 fc0 sc0 ls0 ws0">control<span class="_ _a"> </span>performances<span class="_ _8"> </span>of<span class="_ _a"> </span>the<span class="_ _a"> </span>machine<span class="_ _8"> </span>in<span class="_ _a"> </span>terms<span class="_ _8"> </span>of<span class="_ _a"> </span>the<span class="_ _a"> </span>reference<span class="_ _8"> </span>tracking<span class="_ _a"> </span>ability<span class="_ _a"> </span>and<span class="_ _8"> </span>the<span class="_ _a"> </span>robustness<span class="_ _a"> </span>against</div><div class="t m0 x19 h7 y20 ff1 fs3 fc0 sc0 ls0 ws0">parameters<span class="_"> </span>variation.</div><div class="t m0 x19 h7 y21 ff3 fs3 fc0 sc0 ls0 ws0">K<span class="_ _2"></span>eywor<span class="_ _2"></span>ds:<span class="_ _7"> </span><span class="ff1">Induction<span class="_"> </span>motor<span class="_ _2"></span>,<span class="_"> </span>Field-Oriented-Control,<span class="_ _a"> </span>Sensorless<span class="_"> </span>control,<span class="_"> </span>Backstepping<span class="_ _a"> </span>control,<span class="_"> </span>Adaptive<span class="_"> </span>slid-</span></div><div class="t m0 x2 h7 y22 ff1 fs3 fc0 sc0 ls0 ws0">ing<span class="_"> </span>mode<span class="_"> </span>observer<span class="_ _2"></span>.</div><div class="t m0 x2 ha y23 ff4 fs3 fc2 sc0 ls0 ws0">Contents</div><div class="t m0 x2 h7 y24 ff1 fs3 fc0 sc0 ls0 ws0">1<span class="_ _c"> </span>Introduction<span class="_ _d"> </span>.<span class="_ _7"> </span>.<span class="_ _7"> </span>.<span class="_ _7"> </span>.<span class="_ _e"> </span>.<span class="_ _e"> </span>.<span class="_ _7"> </span>.<span class="_ _7"> </span>.<span class="_ _7"> </span>.<span class="_ _e"> </span>.<span class="_ _7"> </span>.<span class="_ _7"> </span>.<span class="_ _7"> </span>.<span class="_ _e"> </span>.<span class="_ _7"> </span>.<span class="_ _7"> </span>.<span class="_ _7"> </span>.<span class="_ _f"> </span>20</div><div class="t m0 x2 h7 y25 ff1 fs3 fc0 sc0 ls0 ws0">2<span class="_ _c"> </span>Induction<span class="_"> </span>motor<span class="_"> </span>model<span class="_ _10"> </span>.<span class="_ _e"> </span>.<span class="_ _7"> </span>.<span class="_ _7"> </span>.<span class="_ _7"> </span>.<span class="_ _e"> </span>.<span class="_ _7"> </span>.<span class="_ _7"> </span>.<span class="_ _7"> </span>.<span class="_ _e"> </span>.<span class="_ _7"> </span>.<span class="_ _f"> </span>20</div><div class="t m0 x2 h7 y26 ff1 fs3 fc0 sc0 ls0 ws0">3<span class="_ _c"> </span>Backstepping<span class="_"> </span>Control<span class="_"> </span>Design<span class="_ _9"> </span>.<span class="_ _7"> </span>.<span class="_ _e"> </span>.<span class="_ _7"> </span>.<span class="_ _7"> </span>.<span class="_ _7"> </span>.<span class="_ _e"> </span>.<span class="_ _7"> </span>.<span class="_ _f"> </span>21</div><div class="t m0 x20 h7 y23 ff1 fs3 fc0 sc0 ls0 ws0">4<span class="_ _c"> </span>Adaptiv<span class="_ _2"></span>e<span class="_ _6"> </span>Slinding<span class="_ _6"> </span>Mode<span class="_ _6"> </span>Observer<span class="_ _6"> </span>for<span class="_ _11"> </span>Induc-</div><div class="t m0 x21 h7 y27 ff1 fs3 fc0 sc0 ls0 ws0">tion<span class="_"> </span>Motor<span class="_ _b"> </span>.<span class="_ _e"> </span>.<span class="_ _7"> </span>.<span class="_ _7"> </span>.<span class="_ _7"> </span>.<span class="_ _e"> </span>.<span class="_ _7"> </span>.<span class="_ _7"> </span>.<span class="_ _7"> </span>.<span class="_ _e"> </span>.<span class="_ _7"> </span>.<span class="_ _7"> </span>.<span class="_ _7"> </span>.<span class="_ _e"> </span>.<span class="_ _7"> </span>.<span class="_ _7"> </span>.<span class="_ _7"> </span>.<span class="_ _e"> </span>.<span class="_ _f"> </span>23</div><div class="t m0 x20 h7 y28 ff1 fs3 fc0 sc0 ls0 ws0">5<span class="_ _c"> </span>Simulation<span class="_"> </span>Results<span class="_ _12"> </span>.<span class="_ _e"> </span>.<span class="_ _7"> </span>.<span class="_ _7"> </span>.<span class="_ _7"> </span>.<span class="_ _e"> </span>.<span class="_ _7"> </span>.<span class="_ _7"> </span>.<span class="_ _7"> </span>.<span class="_ _e"> </span>.<span class="_ _7"> </span>.<span class="_ _7"> </span>.<span class="_ _7"> </span>.<span class="_ _f"> </span>25</div><div class="t m0 x20 h7 y29 ff1 fs3 fc0 sc0 ls0 ws0">6<span class="_ _c"> </span>Conclusion<span class="_ _13"> </span>.<span class="_ _e"> </span>.<span class="_ _7"> </span>.<span class="_ _7"> </span>.<span class="_ _7"> </span>.<span class="_ _e"> </span>.<span class="_ _7"> </span>.<span class="_ _7"> </span>.<span class="_ _7"> </span>.<span class="_ _e"> </span>.<span class="_ _7"> </span>.<span class="_ _7"> </span>.<span class="_ _7"> </span>.<span class="_ _e"> </span>.<span class="_ _7"> </span>.<span class="_ _7"> </span>.<span class="_ _7"> </span>.<span class="_ _f"> </span>25</div><div class="t m0 x2 ha y2a ff4 fs3 fc2 sc0 ls0 ws0">Nomenclature</div><div class="t m0 x22 hb y2b ff3 fs3 fc0 sc0 ls0 ws0">s<span class="ff5">,<span class="_ _14"></span></span>r<span class="_ _15"> </span><span class="ff1">Stator<span class="_"> </span>and<span class="_"> </span>rotor<span class="_"> </span>subscripts</span></div><div class="t m0 x22 hb y2c ff3 fs3 fc0 sc0 ls0 ws0">d<span class="_ _5"></span><span class="ff5">,<span class="_ _14"></span></span>q<span class="_ _16"> </span><span class="ff1">Direct<span class="_"> </span>and<span class="_"> </span>quadrate<span class="_"> </span>Park<span class="_"> </span>subscripts</span></div><div class="t m0 x22 hb y2d ff6 fs3 fc0 sc0 ls0 ws0">&#945;<span class="_ _17"></span><span class="ff5">,<span class="_ _14"></span></span>&#946;<span class="_ _18"> </span><span class="ff1">Stationary<span class="_"> </span>reference<span class="_"> </span>frame<span class="_"> </span>subscripts.</span></div><div class="t m0 x22 hb y2e ff3 fs3 fc0 sc0 ls0 ws0">v<span class="_ _19"></span><span class="ff5">,<span class="_ _14"></span><span class="ff3">i</span>,<span class="_ _14"></span><span class="ff6">&#966;<span class="_ _1a"> </span><span class="ff1">V<span class="_ _1"></span>oltage/<span class="_"> </span>Current/<span class="_"> </span>Flux<span class="_"> </span>v<span class="_ _2"></span>ariable</span></span></span></div><div class="t m0 x22 hc y2f ff3 fs3 fc0 sc0 ls0 ws0">R</div><div class="t m0 x23 hd y30 ff3 fs4 fc0 sc0 ls0 ws0">s</div><div class="t m0 x24 hb y2f ff5 fs3 fc0 sc0 ls0 ws0">,<span class="_ _14"></span><span class="ff3">R</span></div><div class="t m0 x25 hd y30 ff3 fs4 fc0 sc0 ls0 ws0">r</div><div class="t m0 x26 h7 y2f ff1 fs3 fc0 sc0 ls0 ws0">Stator<span class="_ _2"></span>,<span class="_"> </span>rotor<span class="_"> </span>resistances</div><div class="t m0 x22 hc y31 ff3 fs3 fc0 sc0 ls0 ws0">L</div><div class="t m0 x23 hd y32 ff3 fs4 fc0 sc0 ls0 ws0">s</div><div class="t m0 x24 hb y31 ff5 fs3 fc0 sc0 ls0 ws0">,<span class="_ _14"></span><span class="ff3">L</span></div><div class="t m0 x27 hd y32 ff3 fs4 fc0 sc0 ls0 ws0">r</div><div class="t m0 x26 h7 y31 ff1 fs3 fc0 sc0 ls0 ws0">Stator<span class="_ _2"></span>,<span class="_"> </span>rotor<span class="_"> </span>inductances</div><div class="t m0 x22 he y33 ff6 fs3 fc0 sc0 ls0 ws0">&#964;</div><div class="t m0 x28 hd y34 ff3 fs4 fc0 sc0 ls0 ws0">r</div><div class="t m0 x29 hb y33 ff7 fs3 fc0 sc0 ls0 ws0">=<span class="_ _6"> </span><span class="ff3">L</span></div><div class="t m0 x2a hd y34 ff3 fs4 fc0 sc0 ls0 ws0">r</div><div class="t m0 x2b hb y33 ff5 fs3 fc0 sc0 ls0 ws0">/<span class="ff3">R</span></div><div class="t m0 x2c hd y34 ff3 fs4 fc0 sc0 ls0 ws0">r</div><div class="t m0 x26 h7 y33 ff1 fs3 fc0 sc0 ls0 ws0">Rotor<span class="_"> </span>time<span class="_"> </span>constant</div><div class="t m0 x22 h7 y35 ff3 fs3 fc0 sc0 ls0 ws0">M<span class="_ _1b"> </span><span class="ff1">Mutual<span class="_"> </span>magnetizing<span class="_"> </span>inductance</span></div><div class="t m0 x22 he y36 ff6 fs3 fc0 sc0 ls0 ws0">&#963;<span class="_ _1c"> </span><span class="ff1">T<span class="_ _19"></span>otal<span class="_"> </span>leakage<span class="_"> </span>factor</span></div><div class="t m0 x22 he y37 ff6 fs3 fc0 sc0 ls0 ws0">&#969;</div><div class="t m0 x7 hd y38 ff3 fs4 fc0 sc0 ls0 ws0">s</div><div class="t m0 x26 h7 y37 ff1 fs3 fc0 sc0 ls0 ws0">Stator<span class="_"> </span>frequency</div><div class="t m0 x22 he y39 ff6 fs3 fc0 sc0 ls0 ws0">&#969;</div><div class="t m0 x7 hd y3a ff3 fs4 fc0 sc0 ls0 ws0">r</div><div class="t m0 x26 h7 y39 ff1 fs3 fc0 sc0 ls0 ws0">Slip<span class="_"> </span>frequency</div><div class="t m0 x22 he y3b ff6 fs3 fc0 sc0 ls0 ws0">&#8486;<span class="_ _1d"> </span><span class="ff1">Rotor<span class="_"> </span>speed</span></div><div class="t m0 x1b h7 y3c ff3 fs3 fc0 sc0 ls0 ws0">j<span class="_ _1e"> </span><span class="ff1">Inertia</span></div><div class="t m0 x1b h7 y3d ff3 fs3 fc0 sc0 ls0 ws0">f<span class="_ _1e"> </span><span class="ff1">Friction<span class="_"> </span>coef&#64257;cient</span></div><div class="t m0 x22 hc y3e ff3 fs3 fc0 sc0 ls0 ws0">T</div><div class="t m0 x28 hd y3f ff3 fs4 fc0 sc0 ls0 ws0">L</div><div class="t m0 x26 h7 y3e ff1 fs3 fc0 sc0 ls0 ws0">Electromagnetic,<span class="_"> </span>load<span class="_"> </span>torque</div><div class="t m0 x22 hc y40 ff3 fs3 fc0 sc0 ls0 ws0">n</div><div class="t m0 x28 hd y41 ff3 fs4 fc0 sc0 ls0 ws0">p</div><div class="t m0 x26 h7 y40 ff1 fs3 fc0 sc0 ls0 ws0">Pole<span class="_"> </span>pair<span class="_"> </span>number</div><div class="t m0 x22 h7 y42 ff1 fs3 fc0 sc0 ls0 ws0">&#710;<span class="_ _1f"> </span>Superscript<span class="_"> </span>of<span class="_"> </span>estimated<span class="_"> </span>quantity</div><a class="l" rel='nofollow' onclick='return false;'><div class="d m1"></div></a><a class="l" rel='nofollow' onclick='return false;'><div class="d m1"></div></a><a class="l" rel='nofollow' onclick='return false;'><div class="d m1"></div></a><a class="l" rel='nofollow' onclick='return false;'><div class="d m1"></div></a><a class="l" rel='nofollow' onclick='return false;'><div class="d m1"></div></a><a class="l" rel='nofollow' onclick='return false;'><div class="d m1"></div></a><a class="l" rel='nofollow' onclick='return false;'><div class="d m1"></div></a></div><div class="pi" data-data='{"ctm":[1.611850,0.000000,0.000000,1.611850,0.000000,0.000000]}'></div></div> </body> </html>
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