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<p class="MsoNormal" style="background:white"><span style="font-size:12.0pt;font-family:"Arial","sans-serif";color:black">Hello,<o:p></o:p></span></p>
<p class="MsoNormal" style="background:white"><span style="font-size:12.0pt;font-family:"Arial","sans-serif";color:black"> <o:p></o:p></span></p>
<p class="MsoNormal" style="background:white"><span style="font-size:12.0pt;font-family:"Arial","sans-serif";color:black">I want to include the eddy current due to the rotation of rotor in one active magnetic bearing in my simulation.<o:p></o:p></span></p>
<p class="MsoNormal" style="background:white"><span style="font-size:12.0pt;font-family:"Arial","sans-serif";color:black"> <o:p></o:p></span></p>
<p class="MsoNormal" style="background:white"><span style="font-size:12.0pt;font-family:"Arial","sans-serif";color:black">To find these currents I have chosen to modify the formulation in classical formulation<o:p></o:p></span></p>
<p class="MsoNormal" style="background:white"><span style="font-size:12.0pt;font-family:"Arial","sans-serif";color:black">Curl(1/mu*curl(A))=-sigma*dA/dt+J_s<o:p></o:p></span></p>
<p class="MsoNormal" style="background:white"><!--[if gte msEquation 12]><m:oMathPara><m:oMath><span style='font-family:"Cambria Math","serif"'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>∇</m:r><m:r><i>×</i></m:r></span><m:d><m:dPr><span style='font-size:12.0pt;font-family:"Cambria Math","serif";font-style:italic'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><m:f><m:fPr><span style='font-size:12.0pt;font-family:"Cambria Math","serif";font-style:italic'><m:ctrlPr></m:ctrlPr></span></m:fPr><m:num><i><span style='font-family:"Cambria Math","serif"'><m:r>1</m:r></span></i></m:num><m:den><i><span style='font-family:"Cambria Math","serif"'><m:r>μ</m:r></span></i></m:den></m:f><span style='font-family:"Cambria Math","serif"'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>∇</m:r><m:r><i>×</i></m:r><m:r><i>A</i></m:r></span></m:e></m:d><i><span style='font-family:"Cambria Math","serif"'><m:r>=-</m:r><m:r>σ</m:r><m:r> </m:r></span></i><m:acc><m:accPr><m:chr m:val="̇"/><span style='font-size:12.0pt;font-family:"Cambria Math","serif";font-style:italic'><m:ctrlPr></m:ctrlPr></span></m:accPr><m:e><i><span style='font-family:"Cambria Math","serif"'><m:r>A</m:r></span></i></m:e></m:acc><i><span style='font-family:"Cambria Math","serif"'><m:r>+</m:r></span></i><m:sSub><m:sSubPr><span style='font-size:12.0pt;font-family:"Cambria Math","serif";font-style:italic'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i><span style='font-family:"Cambria Math","serif"'><m:r>J</m:r></span></i></m:e><m:sub><i><span style='font-family:"Cambria Math","serif"'><m:r>source</m:r></span></i></m:sub></m:sSub><i><span style='font-family:"Cambria Math","serif"'><m:r>-</m:r></span></i><span style='font-family:"Cambria Math","serif"'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>σ∇V</m:r></span></m:oMath></m:oMathPara><![endif]--><![if !msEquation]><span style="font-size:11.0pt;font-family:"Calibri","sans-serif";mso-fareast-language:EN-US"><img width="299" height="45" id="_x0000_i1025" src="cid:image005.png@01D21296.2EC4CED0"></span><![endif]><span style="font-size:12.0pt;font-family:"Arial","sans-serif";color:black"><o:p></o:p></span></p>
<p class="MsoNormal" style="background:white"><span style="font-size:12.0pt;font-family:"Arial","sans-serif";color:black"> <o:p></o:p></span></p>
<p class="MsoNormal" style="background:white"><span style="font-size:12.0pt;font-family:"Arial","sans-serif";color:black">To take into account the rotation :<o:p></o:p></span></p>
<p class="MsoNormal" style="background:white"><span style="font-size:12.0pt;font-family:"Arial","sans-serif";color:black">dA/dt= dA/dtheta*dtheta/dt<o:p></o:p></span></p>
<p class="MsoNormal"><!--[if gte msEquation 12]><m:oMathPara><m:oMath><m:acc><m:accPr><m:chr m:val="̇"/><span style='font-size:9.5pt;font-family:"Cambria Math","serif";font-style:italic'><m:ctrlPr></m:ctrlPr></span></m:accPr><m:e><i><span style='font-family:"Cambria Math","serif"'><m:r>A</m:r></span></i></m:e></m:acc><i><span style='font-family:"Cambria Math","serif"'><m:r>=</m:r></span></i><m:f><m:fPr><span style='font-size:9.5pt;font-family:"Cambria Math","serif";font-style:italic'><m:ctrlPr></m:ctrlPr></span></m:fPr><m:num><i><span style='font-family:"Cambria Math","serif"'><m:r>dA</m:r></span></i></m:num><m:den><i><span style='font-family:"Cambria Math","serif"'><m:r>dθ</m:r></span></i></m:den></m:f><m:f><m:fPr><span style='font-size:9.5pt;font-family:"Cambria Math","serif";font-style:italic'><m:ctrlPr></m:ctrlPr></span></m:fPr><m:num><i><span style='font-family:"Cambria Math","serif"'><m:r>dθ</m:r></span></i></m:num><m:den><i><span style='font-family:"Cambria Math","serif"'><m:r>dt</m:r></span></i></m:den></m:f><i><span style='font-family:"Cambria Math","serif"'><m:r>=</m:r></span></i><m:f><m:fPr><span style='font-size:9.5pt;font-family:"Cambria Math","serif";font-style:italic'><m:ctrlPr></m:ctrlPr></span></m:fPr><m:num><i><span style='font-family:"Cambria Math","serif"'><m:r>dA</m:r></span></i></m:num><m:den><i><span style='font-family:"Cambria Math","serif"'><m:r>dθ</m:r></span></i></m:den></m:f><span style='font-family:"Cambria Math","serif"'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>Ω</m:r></span></m:oMath></m:oMathPara><![endif]--><![if !msEquation]><span style="font-size:11.0pt;font-family:"Calibri","sans-serif";mso-fareast-language:EN-US"><img width="140" height="38" id="_x0000_i1025" src="cid:image006.png@01D21296.2EC4CED0"></span><![endif]><o:p></o:p></p>
<p class="MsoNormal" style="background:white"><span style="font-size:12.0pt;font-family:"Arial","sans-serif";color:black"><o:p> </o:p></span></p>
<p class="MsoNormal" style="background:white"><span style="font-size:12.0pt;font-family:"Arial","sans-serif";color:black"> <o:p></o:p></span></p>
<p class="MsoNormal" style="background:white"><span style="font-size:12.0pt;font-family:"Arial","sans-serif";color:black">To integrate the derivative I use the curl and special tensor :<o:p></o:p></span></p>
<p class="MsoNormal" style="background:white"><span style="font-size:12.0pt;font-family:"Arial","sans-serif";color:black"> <o:p></o:p></span></p>
<p class="MsoNormal" style="background:white"><span lang="FR" style="font-size:12.0pt;font-family:"Arial","sans-serif";color:black">Omega=1000;<o:p></o:p></span></p>
<p class="MsoNormal" style="background:white"><span lang="FR" style="font-size:12.0pt;font-family:"Arial","sans-serif";color:black">Angle[]=Atan2[$Y,$X];<o:p></o:p></span></p>
<p class="MsoNormal" style="background:white"><span style="font-size:12.0pt;font-family:"Arial","sans-serif";color:black">r[]=Sqrt[$X^2+$Y^2];<o:p></o:p></span></p>
<p class="MsoNormal" style="background:white"><span style="font-size:12.0pt;font-family:"Arial","sans-serif";color:black">Tchang[]=Tensor[0,0,0,0,0,0,r[]*Omega*Cos[Angle[]],r[]*Omega*Sin[Angle[]],0];<o:p></o:p></span></p>
<p class="MsoNormal" style="background:white"><span style="font-size:12.0pt;font-family:"Arial","sans-serif";color:black"> <o:p></o:p></span></p>
<p class="MsoNormal" style="background:white"><span style="font-size:12.0pt;font-family:"Arial","sans-serif";color:black">Galerkin{[-Sigma[]*Tchang[]*Dof{d a},{a}]; In Rotor; Jacobian JVol; Integration I1;}<o:p></o:p></span></p>
<p class="MsoNormal" style="background:white"><span style="font-size:12.0pt;font-family:"Arial","sans-serif";color:black"> <o:p></o:p></span></p>
<p class="MsoNormal" style="background:white"><span style="font-size:12.0pt;font-family:"Arial","sans-serif";color:black"> <o:p></o:p></span></p>
<p class="MsoNormal" style="background:white"><span style="font-size:12.0pt;font-family:"Arial","sans-serif";color:black">My active magnetic bearing is symmetrical but when i change the direction of the rotation from 1000 to -1000 the result is different.<o:p></o:p></span></p>
<p class="MsoNormal" style="background:white"><span style="font-size:12.0pt;font-family:"Arial","sans-serif";color:black"> <o:p></o:p></span></p>
<p class="MsoNormal" style="background:white"><span style="font-size:12.0pt;font-family:"Arial","sans-serif";color:black">Can you explain why i have a different results ?<o:p></o:p></span></p>
<p class="MsoNormal" style="background:white"><span style="font-size:12.0pt;font-family:"Arial","sans-serif";color:black"><o:p> </o:p></span></p>
<p class="MsoNormal" style="background:white"><span style="font-size:12.0pt;font-family:"Arial","sans-serif";color:black">Sincerely,<o:p></o:p></span></p>
<p class="MsoNormal" style="background:white"><span style="font-size:12.0pt;font-family:"Arial","sans-serif";color:black"><o:p> </o:p></span></p>
<p class="MsoNormal" style="background:white"><span style="font-size:12.0pt;font-family:"Arial","sans-serif";color:black">Blaise LAPÔTRE<o:p></o:p></span></p>
<p class="MsoNormal"><o:p> </o:p></p>
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