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      <expressions tag="Azxt" expression="root.mod1.AzxTIME-root.mod1.Azxx*d(root.x,TIME)-root.mod1.Azxy*d(root.y,TIME)" description="Gradient of Az, first time derivative, x component"/>
      <expressions tag="Azyt" expression="root.mod1.AzyTIME-root.mod1.Azyx*d(root.x,TIME)-root.mod1.Azyy*d(root.y,TIME)" description="Gradient of Az, first time derivative, y component"/>
      <expressions tag="Azxtt" expression="d(root.mod1.AzxTIME-root.mod1.Azxx*d(root.x,TIME)-root.mod1.Azxy*d(root.y,TIME),TIME)-d(root.mod1.AzxTIME-root.mod1.Azxx*d(root.x,TIME)-root.mod1.Azxy*d(root.y,TIME),root.x)*d(root.x,TIME)-d(root.mod1.AzxTIME-root.mod1.Azxx*d(root.x,TIME)-root.mod1.Azxy*d(root.y,TIME),root.y)*d(root.y,TIME)" description="Gradient of Az, second time derivative, x component"/>
      <expressions tag="Azytt" expression="d(root.mod1.AzyTIME-root.mod1.Azyx*d(root.x,TIME)-root.mod1.Azyy*d(root.y,TIME),TIME)-d(root.mod1.AzyTIME-root.mod1.Azyx*d(root.x,TIME)-root.mod1.Azyy*d(root.y,TIME),root.x)*d(root.x,TIME)-d(root.mod1.AzyTIME-root.mod1.Azyx*d(root.x,TIME)-root.mod1.Azyy*d(root.y,TIME),root.y)*d(root.y,TIME)" description="Gradient of Az, second time derivative, y component"/>
      <expressions tag="Azt" expression="root.mod1.AzTIME-root.mod1.Azx*d(root.x,TIME)-root.mod1.Azy*d(root.y,TIME)" description="Magnetic vector potential, first time derivative x"/>
      <expressions tag="Aztt" expression="d(root.mod1.AzTIME-root.mod1.Azx*d(root.x,TIME)-root.mod1.Azy*d(root.y,TIME),TIME)-d(root.mod1.AzTIME-root.mod1.Azx*d(root.x,TIME)-root.mod1.Azy*d(root.y,TIME),root.x)*d(root.x,TIME)-d(root.mod1.AzTIME-root.mod1.Azx*d(root.x,TIME)-root.mod1.Azy*d(root.y,TIME),root.y)*d(root.y,TIME)" description="Magnetic vector potential, second time derivative x"/>
      <expressions tag="Bx" expression="root.mod1.Azy" description="Magnetic flux density, x component"/>
      <expressions tag="By" expression="-root.mod1.Azx" description="Magnetic flux density, y component"/>
      <expressions tag="Bz" description="Magnetic flux density, z component"/>
      <expressions tag="Ex" description="Electric field, x component"/>
      <expressions tag="Ey" description="Electric field, y component"/>
      <expressions tag="Ez" expression="-root.mod1.AzTIME+root.mod1.Azx*d(root.x,TIME)+root.mod1.Azy*d(root.y,TIME)" description="Electric field, z component"/>
      <expressions tag="dBdtx" expression="d(root.mod1.rmm.Bx,TIME)-d(root.mod1.rmm.Bx,root.x)*d(root.x,TIME)-d(root.mod1.rmm.Bx,root.y)*d(root.y,TIME)" description="Magnetic flux density, time derivative, x component"/>
      <expressions tag="dBdty" expression="d(root.mod1.rmm.By,TIME)-d(root.mod1.rmm.By,root.x)*d(root.x,TIME)-d(root.mod1.rmm.By,root.y)*d(root.y,TIME)" description="Magnetic flux density, time derivative, y component"/>
      <expressions tag="dBdtz" description="Magnetic flux density, time derivative, z component"/>
      <expressions tag="normE" expression="sqrt(realdot(root.mod1.rmm.Ez,root.mod1.rmm.Ez))" description="Electric field norm"/>
      <expressions tag="normtE" expression="sqrt(realdot(root.mod1.rmm.tEz,root.mod1.rmm.tEz))" description="Tangential electric field norm"/>
      <expressions tag="normB" expression="sqrt(realdot(root.mod1.rmm.Bx,root.mod1.rmm.Bx)+realdot(root.mod1.rmm.By,root.mod1.rmm.By))" description="Magnetic flux density norm"/>
      <expressions tag="Jex" description="External current density, x component"/>
      <expressions tag="Jey" description="External current density, y component"/>
      <expressions tag="Jez" description="External current density, z component"/>
      <expressions tag="Jx" description="Current density, x component"/>
      <expressions tag="Jy" description="Current density, y component"/>
      <expressions tag="Jz" description="Current density, z component"/>
      <expressions tag="normJ" description="Current density norm"/>
      <expressions tag="FLtzx" description="Lorentz force contribution, x component"/>
      <expressions tag="FLtzy" description="Lorentz force contribution, y component"/>
      <expressions tag="FLtzz" description="Lorentz force contribution, z component"/>
      <expressions tag="muryx" description="Relative permeability, yx component"/>
      <expressions tag="murzx" description="Relative permeability, zx component"/>
      <expressions tag="murxy" description="Relative permeability, xy component"/>
      <expressions tag="murzy" description="Relative permeability, zy component"/>
      <expressions tag="murxz" description="Relative permeability, xz component"/>
      <expressions tag="muryz" description="Relative permeability, yz component"/>
      <expressions tag="murinvxx" expression="1/root.mod1.rmm.murxx" description="Inverse of relative permeability, xx component"/>
      <expressions tag="murinvyx" description="Inverse of relative permeability, yx component"/>
      <expressions tag="murinvzx" description="Inverse of relative permeability, zx component"/>
      <expressions tag="murinvxy" description="Inverse of relative permeability, xy component"/>
      <expressions tag="murinvyy" expression="1/root.mod1.rmm.muryy" description="Inverse of relative permeability, yy component"/>
      <expressions tag="murinvzy" description="Inverse of relative permeability, zy component"/>
      <expressions tag="murinvxz" description="Inverse of relative permeability, xz component"/>
      <expressions tag="murinvyz" description="Inverse of relative permeability, yz component"/>
      <expressions tag="murinvzz" expression="1/root.mod1.rmm.murzz" description="Inverse of relative permeability, zz component"/>
      <expressions tag="Hx" expression="root.mod1.rmm.murinvxx*root.mod1.rmm.Bx/root.mu0_const" description="Magnetic field, x component"/>
      <expressions tag="Hy" expression="root.mod1.rmm.murinvyy*root.mod1.rmm.By/root.mu0_const" description="Magnetic field, y component"/>
      <expressions tag="Hz" description="Magnetic field, z component"/>
      <expressions tag="normH" expression="sqrt(realdot(root.mod1.rmm.Hx,root.mod1.rmm.Hx)+realdot(root.mod1.rmm.Hy,root.mod1.rmm.Hy))" description="Magnetic field norm"/>
      <expressions tag="Mx" expression="root.mod1.rmm.Bx/root.mu0_const-root.mod1.rmm.Hx" description="Magnetization, x component"/>
      <expressions tag="My" expression="root.mod1.rmm.By/root.mu0_const-root.mod1.rmm.Hy" description="Magnetization, y component"/>
      <expressions tag="Mz" description="Magnetization, z component"/>
      <expressions tag="sigmaxx" description="Electric conductivity, xx component"/>
      <expressions tag="sigmayx" description="Electric conductivity, yx component"/>
      <expressions tag="sigmazx" description="Electric conductivity, zx component"/>
      <expressions tag="sigmaxy" description="Electric conductivity, xy component"/>
      <expressions tag="sigmayy" description="Electric conductivity, yy component"/>
      <expressions tag="sigmazy" description="Electric conductivity, zy component"/>
      <expressions tag="sigmaxz" description="Electric conductivity, xz component"/>
      <expressions tag="sigmayz" description="Electric conductivity, yz component"/>
      <expressions tag="sigmazz" description="Electric conductivity, zz component"/>
      <expressions tag="Jix" description="Induced current density, x component"/>
      <expressions tag="Jiy" description="Induced current density, y component"/>
      <expressions tag="Jiz" description="Induced current density, z component"/>
      <expressions tag="epsilonrxx" expression="1" description="Relative permittivity, xx component"/>
      <expressions tag="epsilonryx" description="Relative permittivity, yx component"/>
      <expressions tag="epsilonrzx" description="Relative permittivity, zx component"/>
      <expressions tag="epsilonrxy" description="Relative permittivity, xy component"/>
      <expressions tag="epsilonryy" expression="1" description="Relative permittivity, yy component"/>
      <expressions tag="epsilonrzy" description="Relative permittivity, zy component"/>
      <expressions tag="epsilonrxz" description="Relative permittivity, xz component"/>
      <expressions tag="epsilonryz" description="Relative permittivity, yz component"/>
      <expressions tag="epsilonrzz" expression="1" description="Relative permittivity, zz component"/>
      <expressions tag="epsrAv" expression="(root.mod1.rmm.epsilonrxx+root.mod1.rmm.epsilonryy+root.mod1.rmm.epsilonrzz)/3" description="Relative permittivity, average"/>
      <expressions tag="Dx" expression="root.epsilon0_const*root.mod1.rmm.epsilonrxx*root.mod1.rmm.Ex" description="Electric displacement field, x component"/>
      <expressions tag="Dy" expression="root.epsilon0_const*root.mod1.rmm.epsilonryy*root.mod1.rmm.Ey" description="Electric displacement field, y component"/>
      <expressions tag="Dz" expression="root.epsilon0_const*root.mod1.rmm.epsilonrzz*root.mod1.rmm.Ez" description="Electric displacement field, z component"/>
      <expressions tag="normD" expression="sqrt(realdot(root.mod1.rmm.Dx,root.mod1.rmm.Dx)+realdot(root.mod1.rmm.Dy,root.mod1.rmm.Dy)+realdot(root.mod1.rmm.Dz,root.mod1.rmm.Dz))" description="Displacement field norm"/>
      <expressions tag="We" expression="0.5*(root.mod1.rmm.Dx*root.mod1.rmm.Ex+root.mod1.rmm.Dy*root.mod1.rmm.Ey+root.mod1.rmm.Dz*root.mod1.rmm.Ez)" description="Electric energy density"/>
      <expressions tag="W" expression="root.mod1.rmm.We+root.mod1.rmm.Wm" description="Energy density"/>
      <expressions tag="Qrh" description="Resistive losses"/>
      <expressions tag="Qe" description="Electromagnetic power loss density"/>
      <expressions tag="Qh" description="Total power dissipation density"/>
      <expressions tag="Wm" expression="0.5*(root.mod1.rmm.Bx*root.mod1.rmm.Hx+root.mod1.rmm.By*root.mod1.rmm.Hy)" description="Magnetic energy density"/>
      <expressions tag="Pox" expression="-root.mod1.rmm.Hy*root.mod1.rmm.Ez" description="Power flow, x component"/>
      <expressions tag="Poy" expression="root.mod1.rmm.Hx*root.mod1.rmm.Ez" description="Power flow, y component"/>
      <expressions tag="Poz" expression="root.mod1.rmm.Hy*root.mod1.rmm.Ex-root.mod1.rmm.Hx*root.mod1.rmm.Ey" description="Power flow, z component"/>
    </objects>
    <objects xsi:type="com.comsol.mph-v7:Expr" tag="iexpr3" derivedFrom="//@physics/@physints[tag='rmm']" storedParent="//@modelNode/@modelNodes[tag='mod1']" entityName="Variables 3a" entityComments="" entityAuthor="" entityCreationTime="1297422255820">
      <tags tag="Analysis" values="1,'std1/time1'"/>
      <selection entityName="Selection" entityComments="" entityAuthor="" entityCreationTime="1297422255820" type="geomdim" geom="//@geom/@geoms[tag='geom1']" domains="29,4,7,8,11" dim="2" hDim="2"/>
      <expressions tag="A_fld_act" expression="1" description="Magnetic vector potential"/>
      <expressions tag="Azxt" expression="root.mod1.AzxTIME-root.mod1.Azxx*d(root.x,TIME)-root.mod1.Azxy*d(root.y,TIME)" description="Gradient of Az, first time derivative, x component"/>
      <expressions tag="Azyt" expression="root.mod1.AzyTIME-root.mod1.Azyx*d(root.x,TIME)-root.mod1.Azyy*d(root.y,TIME)" description="Gradient of Az, first time derivative, y component"/>
      <expressions tag="Azxtt" expression="d(root.mod1.AzxTIME-root.mod1.Azxx*d(root.x,TIME)-root.mod1.Azxy*d(root.y,TIME),TIME)-d(root.mod1.AzxTIME-root.mod1.Azxx*d(root.x,TIME)-root.mod1.Azxy*d(root.y,TIME),root.x)*d(root.x,TIME)-d(root.mod1.AzxTIME-root.mod1.Azxx*d(root.x,TIME)-root.mod1.Azxy*d(root.y,TIME),root.y)*d(root.y,TIME)" description="Gradient of Az, second time derivative, x component"/>
      <expressions tag="Azytt" expression="d(root.mod1.AzyTIME-root.mod1.Azyx*d(root.x,TIME)-root.mod1.Azyy*d(root.y,TIME),TIME)-d(root.mod1.AzyTIME-root.mod1.Azyx*d(root.x,TIME)-root.mod1.Azyy*d(root.y,TIME),root.x)*d(root.x,TIME)-d(root.mod1.AzyTIME-root.mod1.Azyx*d(root.x,TIME)-root.mod1.Azyy*d(root.y,TIME),root.y)*d(root.y,TIME)" description="Gradient of Az, second time derivative, y component"/>
      <expressions tag="Azt" expression="root.mod1.AzTIME-root.mod1.Azx*d(root.x,TIME)-root.mod1.Azy*d(root.y,TIME)" description="Magnetic vector potential, first time derivative x"/>
      <expressions tag="Aztt" expression="d(root.mod1.AzTIME-root.mod1.Azx*d(root.x,TIME)-root.mod1.Azy*d(root.y,TIME),TIME)-d(root.mod1.AzTIME-root.mod1.Azx*d(root.x,TIME)-root.mod1.Azy*d(root.y,TIME),root.x)*d(root.x,TIME)-d(root.mod1.AzTIME-root.mod1.Azx*d(root.x,TIME)-root.mod1.Azy*d(root.y,TIME),root.y)*d(root.y,TIME)" description="Magnetic vector potential, second time derivative x"/>
      <expressions tag="Bx" expression="root.mod1.Azy" description="Magnetic flux density, x component"/>
      <expressions tag="By" expression="-root.mod1.Azx" description="Magnetic flux density, y component"/>
      <expressions tag="Bz" description="Magnetic flux density, z component"/>
      <expressions tag="Ex" description="Electric field, x component"/>
      <expressions tag="Ey" description="Electric field, y component"/>
      <expressions tag="Ez" expression="-root.mod1.AzTIME+root.mod1.Azx*d(root.x,TIME)+root.mod1.Azy*d(root.y,TIME)" description="Electric field, z component"/>
      <expressions tag="dBdtx" expression="d(root.mod1.rmm.Bx,TIME)-d(root.mod1.rmm.Bx,root.x)*d(root.x,TIME)-d(root.mod1.rmm.Bx,root.y)*d(root.y,TIME)" description="Magnetic flux density, time derivative, x component"/>
      <expressions tag="dBdty" expression="d(root.mod1.rmm.By,TIME)-d(root.mod1.rmm.By,root.x)*d(root.x,TIME)-d(root.mod1.rmm.By,root.y)*d(root.y,TIME)" description="Magnetic flux density, time derivative, y component"/>
      <expressions tag="dBdtz" description="Magnetic flux density, time derivative, z component"/>
      <expressions tag="normE" expression="sqrt(realdot(root.mod1.rmm.Ez,root.mod1.rmm.Ez))" description="Electric field norm"/>
      <expressions tag="normtE" expression="sqrt(realdot(root.mod1.rmm.tEz,root.mod1.rmm.tEz))" description="Tangential electric field norm"/>
      <expressions tag="normB" expression="sqrt(realdot(root.mod1.rmm.Bx,root.mod1.rmm.Bx)+realdot(root.mod1.rmm.By,root.mod1.rmm.By))" description="Magnetic flux density norm"/>
      <expressions tag="Jex" description="External current density, x component"/>
      <expressions tag="Jey" description="External current density, y component"/>
      <expressions tag="Jez" description="External current density, z component"/>
      <expressions tag="Jx" description="Current density, x component"/>
      <expressions tag="Jy" description="Current density, y component"/>
      <expressions tag="Jz" description="Current density, z component"/>
      <expressions tag="normJ" description="Current density norm"/>
      <expressions tag="FLtzx" description="Lorentz force contribution, x component"/>
      <expressions tag="FLtzy" description="Lorentz force contribution, y component"/>
      <expressions tag="FLtzz" description="Lorentz force contribution, z component"/>
      <expressions tag="murxx" expression="1" description="Relative permeability, xx component"/>
      <expressions tag="muryx" description="Relative permeability, yx component"/>
      <expressions tag="murzx" description="Relative permeability, zx component"/>
      <expressions tag="murxy" description="Relative permeability, xy component"/>
      <expressions tag="muryy" expression="1" description="Relative permeability, yy component"/>
      <expressions tag="murzy" description="Relative permeability, zy component"/>
      <expressions tag="murxz" description="Relative permeability, xz component"/>
      <expressions tag="muryz" description="Relative permeability, yz component"/>
      <expressions tag="murzz" expression="1" description="Relative permeability, zz component"/>
      <expressions tag="murinvxx" expression="1/root.mod1.rmm.murxx" description="Inverse of relative permeability, xx component"/>
      <expressions tag="murinvyx" description="Inverse of relative permeability, yx component"/>
      <expressions tag="murinvzx" description="Inverse of relative permeability, zx component"/>
      <expressions tag="murinvxy" description="Inverse of relative permeability, xy component"/>
      <expressions tag="murinvyy" expression="1/root.mod1.rmm.muryy" description="Inverse of relative permeability, yy component"/>
      <expressions tag="murinvzy" description="Inverse of relative permeability, zy component"/>
      <expressions tag="murinvxz" description="Inverse of relative permeability, xz component"/>
      <expressions tag="murinvyz" description="Inverse of relative permeability, yz component"/>
      <expressions tag="murinvzz" expression="1/root.mod1.rmm.murzz" description="Inverse of relative permeability, zz component"/>
      <expressions tag="Hx" expression="root.mod1.rmm.murinvxx*(root.mod1.rmm.Bx-root.mod1.rmm.Brx)/root.mu0_const" description="Magnetic field, x component"/>
      <expressions tag="Hy" expression="root.mod1.rmm.murinvyy*(root.mod1.rmm.By-root.mod1.rmm.Bry)/root.mu0_const" description="Magnetic field, y component"/>
      <expressions tag="Hz" description="Magnetic field, z component"/>
      <expressions tag="normH" expression="sqrt(realdot(root.mod1.rmm.Hx,root.mod1.rmm.Hx)+realdot(root.mod1.rmm.Hy,root.mod1.rmm.Hy))" description="Magnetic field norm"/>
      <expressions tag="Mx" expression="root.mod1.rmm.Bx/root.mu0_const-root.mod1.rmm.Hx" description="Magnetization, x component"/>
      <expressions tag="My" expression="root.mod1.rmm.By/root.mu0_const-root.mod1.rmm.Hy" description="Magnetization, y component"/>
      <expressions tag="Mz" description="Magnetization, z component"/>
      <expressions tag="sigmaxx" description="Electric conductivity, xx component"/>
      <expressions tag="sigmayx" description="Electric conductivity, yx component"/>
      <expressions tag="sigmazx" description="Electric conductivity, zx component"/>
      <expressions tag="sigmaxy" description="Electric conductivity, xy component"/>
      <expressions tag="sigmayy" description="Electric conductivity, yy component"/>
      <expressions tag="sigmazy" description="Electric conductivity, zy component"/>
      <expressions tag="sigmaxz" description="Electric conductivity, xz component"/>
      <expressions tag="sigmayz" description="Electric conductivity, yz component"/>
      <expressions tag="sigmazz" description="Electric conductivity, zz component"/>
      <expressions tag="Jix" description="Induced current density, x component"/>
      <expressions tag="Jiy" description="Induced current density, y component"/>
      <expressions tag="Jiz" description="Induced current density, z component"/>
      <expressions tag="epsilonrxx" expression="1" description="Relative permittivity, xx component"/>
      <expressions tag="epsilonryx" description="Relative permittivity, yx component"/>
      <expressions tag="epsilonrzx" description="Relative permittivity, zx component"/>
      <expressions tag="epsilonrxy" description="Relative permittivity, xy component"/>
      <expressions tag="epsilonryy" expression="1" description="Relative permittivity, yy component"/>
      <expressions tag="epsilonrzy" description="Relative permittivity, zy component"/>
      <expressions tag="epsilonrxz" description="Relative permittivity, xz component"/>
      <expressions tag="epsilonryz" description="Relative permittivity, yz component"/>
      <expressions tag="epsilonrzz" expression="1" description="Relative permittivity, zz component"/>
      <expressions tag="epsrAv" expression="(root.mod1.rmm.epsilonrxx+root.mod1.rmm.epsilonryy+root.mod1.rmm.epsilonrzz)/3" description="Relative permittivity, average"/>
      <expressions tag="Dx" expression="root.epsilon0_const*root.mod1.rmm.epsilonrxx*root.mod1.rmm.Ex" description="Electric displacement field, x component"/>
      <expressions tag="Dy" expression="root.epsilon0_const*root.mod1.rmm.epsilonryy*root.mod1.rmm.Ey" description="Electric displacement field, y component"/>
      <expressions tag="Dz" expression="root.epsilon0_const*root.mod1.rmm.epsilonrzz*root.mod1.rmm.Ez" description="Electric displacement field, z component"/>
      <expressions tag="normD" expression="sqrt(realdot(root.mod1.rmm.Dx,root.mod1.rmm.Dx)+realdot(root.mod1.rmm.Dy,root.mod1.rmm.Dy)+realdot(root.mod1.rmm.Dz,root.mod1.rmm.Dz))" description="Displacement field norm"/>
      <expressions tag="We" expression="0.5*(root.mod1.rmm.Dx*root.mod1.rmm.Ex+root.mod1.rmm.Dy*root.mod1.rmm.Ey+root.mod1.rmm.Dz*root.mod1.rmm.Ez)" description="Electric energy density"/>
      <expressions tag="W" expression="root.mod1.rmm.We+root.mod1.rmm.Wm" description="Energy density"/>
      <expressions tag="Qrh" description="Resistive losses"/>
      <expressions tag="Qe" description="Electromagnetic power loss density"/>
      <expressions tag="Qh" description="Total power dissipation density"/>
      <expressions tag="Wm" expression="0.5*(root.mod1.rmm.Bx*root.mod1.rmm.Hx+root.mod1.rmm.By*root.mod1.rmm.Hy)" description="Magnetic energy density"/>
      <expressions tag="Pox" expression="-root.mod1.rmm.Hy*root.mod1.rmm.Ez" description="Power flow, x component"/>
      <expressions tag="Poy" expression="root.mod1.rmm.Hx*root.mod1.rmm.Ez" description="Power flow, y component"/>
      <expressions tag="Poz" expression="root.mod1.rmm.Hy*root.mod1.rmm.Ex-root.mod1.rmm.Hx*root.mod1.rmm.Ey" description="Power flow, z component"/>
      <expressions tag="Brx" expression="(-0.84)[T]*root.x/sqrt(root.x^2+root.y^2)" description="Remanent flux density, x component"/>
      <expressions tag="Bry" expression="(-0.84)[T]*root.y/sqrt(root.x^2+root.y^2)" description="Remanent flux density, y component"/>
      <expressions tag="Brz" description="Remanent flux density, z component"/>
    </objects>
    <objects xsi:type="com.comsol.mph-v7:Expr" tag="iexpr4" derivedFrom="//@physics/@physints[tag='rmm']" storedParent="//@modelNode/@modelNodes[tag='mod1']" entityName="Variables 4" entityComments="" entityAuthor="" entityCreationTime="1297422255820">
      <tags tag="Analysis" values="1,'std1/time1'"/>
      <selection entityName="Selection" entityComments="" entityAuthor="" entityCreationTime="1297422255820" type="geomdim" geom="//@geom/@geoms[tag='geom1']" domains="29,5,6,9,10" dim="2" hDim="2"/>
      <expressions tag="A_fld_act" expression="1" description="Magnetic vector potential"/>
      <expressions tag="Azxt" expression="root.mod1.AzxTIME-root.mod1.Azxx*d(root.x,TIME)-root.mod1.Azxy*d(root.y,TIME)" description="Gradient of Az, first time derivative, x component"/>
      <expressions tag="Azyt" expression="root.mod1.AzyTIME-root.mod1.Azyx*d(root.x,TIME)-root.mod1.Azyy*d(root.y,TIME)" description="Gradient of Az, first time derivative, y component"/>
      <expressions tag="Azxtt" expression="d(root.mod1.AzxTIME-root.mod1.Azxx*d(root.x,TIME)-root.mod1.Azxy*d(root.y,TIME),TIME)-d(root.mod1.AzxTIME-root.mod1.Azxx*d(root.x,TIME)-root.mod1.Azxy*d(root.y,TIME),root.x)*d(root.x,TIME)-d(root.mod1.AzxTIME-root.mod1.Azxx*d(root.x,TIME)-root.mod1.Azxy*d(root.y,TIME),root.y)*d(root.y,TIME)" description="Gradient of Az, second time derivative, x component"/>
      <expressions tag="Azytt" expression="d(root.mod1.AzyTIME-root.mod1.Azyx*d(root.x,TIME)-root.mod1.Azyy*d(root.y,TIME),TIME)-d(root.mod1.AzyTIME-root.mod1.Azyx*d(root.x,TIME)-root.mod1.Azyy*d(root.y,TIME),root.x)*d(root.x,TIME)-d(root.mod1.AzyTIME-root.mod1.Azyx*d(root.x,TIME)-root.mod1.Azyy*d(root.y,TIME),root.y)*d(root.y,TIME)" description="Gradient of Az, second time derivative, y component"/>
      <expressions tag="Azt" expression="root.mod1.AzTIME-root.mod1.Azx*d(root.x,TIME)-root.mod1.Azy*d(root.y,TIME)" description="Magnetic vector potential, first time derivative x"/>
      <expressions tag="Aztt" expression="d(root.mod1.AzTIME-root.mod1.Azx*d(root.x,TIME)-root.mod1.Azy*d(root.y,TIME),TIME)-d(root.mod1.AzTIME-root.mod1.Azx*d(root.x,TIME)-root.mod1.Azy*d(root.y,TIME),root.x)*d(root.x,TIME)-d(root.mod1.AzTIME-root.mod1.Azx*d(root.x,TIME)-root.mod1.Azy*d(root.y,TIME),root.y)*d(root.y,TIME)" description="Magnetic vector potential, second time derivative x"/>
      <expressions tag="Bx" expression="root.mod1.Azy" description="Magnetic flux density, x component"/>
      <expressions tag="By" expression="-root.mod1.Azx" description="Magnetic flux density, y component"/>
      <expressions tag="Bz" description="Magnetic flux density, z component"/>
      <expressions tag="Ex" description="Electric field, x component"/>
      <expressions tag="Ey" description="Electric field, y component"/>
      <expressions tag="Ez" expression="-root.mod1.AzTIME+root.mod1.Azx*d(root.x,TIME)+root.mod1.Azy*d(root.y,TIME)" description="Electric field, z component"/>
      <expressions tag="dBdtx" expression="d(root.mod1.rmm.Bx,TIME)-d(root.mod1.rmm.Bx,root.x)*d(root.x,TIME)-d(root.mod1.rmm.Bx,root.y)*d(root.y,TIME)" description="Magnetic flux density, time derivative, x component"/>
      <expressions tag="dBdty" expression="d(root.mod1.rmm.By,TIME)-d(root.mod1.rmm.By,root.x)*d(root.x,TIME)-d(root.mod1.rmm.By,root.y)*d(root.y,TIME)" description="Magnetic flux density, time derivative, y component"/>
      <expressions tag="dBdtz" description="Magnetic flux density, time derivative, z component"/>
      <expressions tag="normE" expression="sqrt(realdot(root.mod1.rmm.Ez,root.mod1.rmm.Ez))" description="Electric field norm"/>
      <expressions tag="normtE" expression="sqrt(realdot(root.mod1.rmm.tEz,root.mod1.rmm.tEz))" description="Tangential electric field norm"/>
      <expressions tag="normB" expression="sqrt(realdot(root.mod1.rmm.Bx,root.mod1.rmm.Bx)+realdot(root.mod1.rmm.By,root.mod1.rmm.By))" description="Magnetic flux density norm"/>
      <expressions tag="Jex" description="External current density, x component"/>
      <expressions tag="Jey" description="External current density, y component"/>
      <expressions tag="Jez" description="External current density, z component"/>
      <expressions tag="Jx" description="Current density, x component"/>
      <expressions tag="Jy" description="Current density, y component"/>
      <expressions tag="Jz" description="Current density, z component"/>
      <expressions tag="normJ" description="Current density norm"/>
      <expressions tag="FLtzx" description="Lorentz force contribution, x component"/>
      <expressions tag="FLtzy" description="Lorentz force contribution, y component"/>
      <expressions tag="FLtzz" description="Lorentz force contribution, z component"/>
      <expressions tag="murxx" expression="1" description="Relative permeability, xx component"/>
      <expressions tag="muryx" description="Relative permeability, yx component"/>
      <expressions tag="murzx" description="Relative permeability, zx component"/>
      <expressions tag="murxy" description="Relative permeability, xy component"/>
      <expressions tag="muryy" expression="1" description="Relative permeability, yy component"/>
      <expressions tag="murzy" description="Relative permeability, zy component"/>
      <expressions tag="murxz" description="Relative permeability, xz component"/>
      <expressions tag="muryz" description="Relative permeability, yz component"/>
      <expressions tag="murzz" expression="1" description="Relative permeability, zz component"/>
      <expressions tag="murinvxx" expression="1/root.mod1.rmm.murxx" description="Inverse of relative permeability, xx component"/>
      <expressions tag="murinvyx" description="Inverse of relative permeability, yx component"/>
      <expressions tag="murinvzx" description="Inverse of relative permeability, zx component"/>
      <expressions tag="murinvxy" description="Inverse of relative permeability, xy component"/>
      <expressions tag="murinvyy" expression="1/root.mod1.rmm.muryy" description="Inverse of relative permeability, yy component"/>
      <expressions tag="murinvzy" description="Inverse of relative permeability, zy component"/>
      <expressions tag="murinvxz" description="Inverse of relative permeability, xz component"/>
      <expressions tag="murinvyz" description="Inverse of relative permeability, yz component"/>
      <expressions tag="murinvzz" expression="1/root.mod1.rmm.murzz" description="Inverse of relative permeability, zz component"/>
      <expressions tag="Hx" expression="root.mod1.rmm.murinvxx*(root.mod1.rmm.Bx-root.mod1.rmm.Brx)/root.mu0_const" description="Magnetic field, x component"/>
      <expressions tag="Hy" expression="root.mod1.rmm.murinvyy*(root.mod1.rmm.By-root.mod1.rmm.Bry)/root.mu0_const" description="Magnetic field, y component"/>
      <expressions tag="Hz" description="Magnetic field, z component"/>
      <expressions tag="normH" expression="sqrt(realdot(root.mod1.rmm.Hx,root.mod1.rmm.Hx)+realdot(root.mod1.rmm.Hy,root.mod1.rmm.Hy))" description="Magnetic field norm"/>
      <expressions tag="Mx" expression="root.mod1.rmm.Bx/root.mu0_const-root.mod1.rmm.Hx" description="Magnetization, x component"/>
      <expressions tag="My" expression="root.mod1.rmm.By/root.mu0_const-root.mod1.rmm.Hy" description="Magnetization, y component"/>
      <expressions tag="Mz" description="Magnetization, z component"/>
      <expressions tag="sigmaxx" description="Electric conductivity, xx component"/>
      <expressions tag="sigmayx" description="Electric conductivity, yx component"/>
      <expressions tag="sigmazx" description="Electric conductivity, zx component"/>
      <expressions tag="sigmaxy" description="Electric conductivity, xy component"/>
      <expressions tag="sigmayy" description="Electric conductivity, yy component"/>
      <expressions tag="sigmazy" description="Electric conductivity, zy component"/>
      <expressions tag="sigmaxz" description="Electric conductivity, xz component"/>
      <expressions tag="sigmayz" description="Electric conductivity, yz component"/>
      <expressions tag="sigmazz" description="Electric conductivity, zz component"/>
      <expressions tag="Jix" description="Induced current density, x component"/>
      <expressions tag="Jiy" description="Induced current density, y component"/>
      <expressions tag="Jiz" description="Induced current density, z component"/>
      <expressions tag="epsilonrxx" expression="1" description="Relative permittivity, xx component"/>
      <expressions tag="epsilonryx" description="Relative permittivity, yx component"/>
      <expressions tag="epsilonrzx" description="Relative permittivity, zx component"/>
      <expressions tag="epsilonrxy" description="Relative permittivity, xy component"/>
      <expressions tag="epsilonryy" expression="1" description="Relative permittivity, yy component"/>
      <expressions tag="epsilonrzy" description="Relative permittivity, zy component"/>
      <expressions tag="epsilonrxz" description="Relative permittivity, xz component"/>
      <expressions tag="epsilonryz" description="Relative permittivity, yz component"/>
      <expressions tag="epsilonrzz" expression="1" description="Relative permittivity, zz component"/>
      <expressions tag="epsrAv" expression="(root.mod1.rmm.epsilonrxx+root.mod1.rmm.epsilonryy+root.mod1.rmm.epsilonrzz)/3" description="Relative permittivity, average"/>
      <expressions tag="Dx" expression="root.epsilon0_const*root.mod1.rmm.epsilonrxx*root.mod1.rmm.Ex" description="Electric displacement field, x component"/>
      <expressions tag="Dy" expression="root.epsilon0_const*root.mod1.rmm.epsilonryy*root.mod1.rmm.Ey" description="Electric displacement field, y component"/>
      <expressions tag="Dz" expression="root.epsilon0_const*root.mod1.rmm.epsilonrzz*root.mod1.rmm.Ez" description="Electric displacement field, z component"/>
      <expressions tag="normD" expression="sqrt(realdot(root.mod1.rmm.Dx,root.mod1.rmm.Dx)+realdot(root.mod1.rmm.Dy,root.mod1.rmm.Dy)+realdot(root.mod1.rmm.Dz,root.mod1.rmm.Dz))" description="Displacement field norm"/>
      <expressions tag="We" expression="0.5*(root.mod1.rmm.Dx*root.mod1.rmm.Ex+root.mod1.rmm.Dy*root.mod1.rmm.Ey+root.mod1.rmm.Dz*root.mod1.rmm.Ez)" description="Electric energy density"/>
      <expressions tag="W" expression="root.mod1.rmm.We+root.mod1.rmm.Wm" description="Energy density"/>
      <expressions tag="Qrh" description="Resistive losses"/>
      <expressions tag="Qe" description="Electromagnetic power loss density"/>
      <expressions tag="Qh" description="Total power dissipation density"/>
      <expressions tag="Wm" expression="0.5*(root.mod1.rmm.Bx*root.mod1.rmm.Hx+root.mod1.rmm.By*root.mod1.rmm.Hy)" description="Magnetic energy density"/>
      <expressions tag="Pox" expression="-root.mod1.rmm.Hy*root.mod1.rmm.Ez" description="Power flow, x component"/>
      <expressions tag="Poy" expression="root.mod1.rmm.Hx*root.mod1.rmm.Ez" description="Power flow, y component"/>
      <expressions tag="Poz" expression="root.mod1.rmm.Hy*root.mod1.rmm.Ex-root.mod1.rmm.Hx*root.mod1.rmm.Ey" description="Power flow, z component"/>
      <expressions tag="Brx" expression="0.84[T]*root.x/sqrt(root.x^2+root.y^2)" description="Remanent flux density, x component"/>
      <expressions tag="Bry" expression="0.84[T]*root.y/sqrt(root.x^2+root.y^2)" description="Remanent flux density, y component"/>
      <expressions tag="Brz" description="Remanent flux density, z component"/>
    </objects>
    <objects xsi:type="com.comsol.mph-v7:Expr" tag="iexpr5" derivedFrom="//@physics/@physints[tag='rmm']" storedParent="//@modelNode/@modelNodes[tag='mod1']" entityName="Variables 5" entityComments="" entityAuthor="" entityCreationTime="1297422255836">
      <tags tag="Analysis" values="1,'std1/time1'"/>
      <selection entityName="Selection" entityComments="" entityAuthor="" entityCreationTime="1297422255836" type="geomdim" geom="//@geom/@geoms[tag='geom1']" domains="149,33,34,93,96" dim="1" hDim="1"/>
      <expressions tag="nx" expression="root.dnx" description="Normal vector, x component"/>
      <expressions tag="ny" expression="root.dny" description="Normal vector, y component"/>
      <expressions tag="nxmesh" expression="root.dnxmesh" description="Normal vector, x component"/>
      <expressions tag="nymesh" expression="root.dnymesh" description="Normal vector, y component"/>
      <expressions tag="Jsx" expression="-(up(root.mod1.rmm.Hz)-down(root.mod1.rmm.Hz))*root.mod1.rmm.ny" description="Surface current density, x component"/>
      <expressions tag="Jsy" expression="-(-up(root.mod1.rmm.Hz)+down(root.mod1.rmm.Hz))*root.mod1.rmm.nx" description="Surface current density, y component"/>
      <expressions tag="Jsz" expression="-(up(root.mod1.rmm.Hy)-down(root.mod1.rmm.Hy))*root.mod1.rmm.nx-(-up(root.mod1.rmm.Hx)+down(root.mod1.rmm.Hx))*root.mod1.rmm.ny" description="Surface current density, z component"/>
      <expressions tag="normJs" expression="sqrt(realdot(root.mod1.rmm.Jsx,root.mod1.rmm.Jsx)+realdot(root.mod1.rmm.Jsy,root.mod1.rmm.Jsy)+realdot(root.mod1.rmm.Jsz,root.mod1.rmm.Jsz))" description="Surface current norm"/>
      <expressions tag="unTx" description="Maxwell upward surface stress tensor, x component"/>
      <expressions tag="unTy" description="Maxwell upward surface stress tensor, y component"/>
      <expressions tag="unTz" description="Maxwell upward surface stress tensor, z component"/>
      <expressions tag="A0x" description="Magnetic vector potential, x component"/>
      <expressions tag="A0y" description="Magnetic vector potential, y component"/>
      <expressions tag="A0z" description="Magnetic vector potential, z component"/>
      <expressions tag="nTx_stator" description="Maxwell surface stress tensor, x component"/>
      <expressions tag="nTy_stator" description="Maxwell surface stress tensor, y component"/>
      <expressions tag="nTz_stator" description="Maxwell surface stress tensor, z component"/>
    </objects>
    <objects xsi:type="com.comsol.mph-v7:Expr" tag="iexpr6" derivedFrom="//@physics/@physints[tag='rmm']" storedParent="//@modelNode/@modelNodes[tag='mod1']" entityName="Variables 6" entityComments="" entityAuthor="" entityCreationTime="1297422255836">
      <tags tag="Analysis" values="1,'std1/time1'"/>
      <selection entityName="Selection" entityComments="" entityAuthor="" entityCreationTime="1297422255836" type="geomdim" geom="//@geom/@geoms[tag='geom1']" domains="149,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148" dim="1" hDim="1"/>
      <expressions tag="nx" expression="root.nx" description="Normal vector, x component"/>
      <expressions tag="ny" expression="root.ny" description="Normal vector, y component"/>
      <expressions tag="nxmesh" expression="root.nxmesh" description="Normal vector, x component"/>
      <expressions tag="nymesh" expression="root.nymesh" description="Normal vector, y component"/>
      <expressions tag="Jsx" description="Surface current density, x component"/>
      <expressions tag="Jsy" description="Surface current density, y component"/>
      <expressions tag="Jsz" description="Surface current density, z component"/>
      <expressions tag="normJs" description="Surface current norm"/>
    </objects>
    <objects xsi:type="com.comsol.mph-v7:Expr" tag="iexpr7" derivedFrom="//@physics/@physints[tag='rmm']" storedParent="//@modelNode/@modelNodes[tag='mod1']" entityName="Variables 7" entityComments="" entityAuthor="" entityCreationTime="1297422255836">
      <tags tag="Analysis" values="1,'std1/time1'"/>
      <selection entityName="Selection" entityComments="" entityAuthor="" entityCreationTime="1297422255836" type="geomdim" geom="//@geom/@geoms[tag='geom1']" domains="149,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148" dim="1" hDim="1"/>
      <expressions tag="nz" description="Normal vector, z component"/>
      <expressions tag="nzmesh" description="Normal vector, z component"/>
    </objects>
    <objects xsi:type="com.comsol.mph-v7:Expr" tag="iexpr8" derivedFrom="//@physics/@physints[tag='rmm']" entityName="Variables 8" entityComments="" entityAuthor="" entityCreationTime="1297422255836">
      <tags tag="Analysis" values="1,'std1/time1'"/>
      <selection entityName="Selection" entityComments="" entityAuthor="" entityCreationTime="1297422255836" type="global"/>
      <expressions tag="xt" expression="d(root.x,TIME)" description="Mesh velocity, x component"/>
      <expressions tag="yt" expression="d(root.y,TIME)" description="Mesh velocity, y component"/>
      <expressions tag="zt" description="Mesh velocity, z component"/>
      <expressions tag="intWe" expression="root.mod1.rmm.intal11(root.mod1.rmm.We)+root.mod1.rmm.intal21(root.mod1.rmm.We)+root.mod1.rmm.intal31(root.mod1.rmm.We)" description="Total electric energy"/>
      <expressions tag="intWm" expression="root.mod1.rmm.intal12(root.mod1.rmm.Wm)+root.mod1.rmm.intal22(root.mod1.rmm.Wm)+root.mod1.rmm.intal32(root.mod1.rmm.Wm)" description="Total magnetic energy"/>
      <expressions tag="Forcex_rotor" expression="root.mod1.rmm.intfcal1(root.mod1.rmm.nTx_rotor*root.mod1.rmm.d)" description="Electromagnetic force, x component"/>
      <expressions tag="Forcey_rotor" expression="root.mod1.rmm.intfcal1(root.mod1.rmm.nTy_rotor*root.mod1.rmm.d)" description="Electromagnetic force, y component"/>
      <expressions tag="Forcez_rotor" expression="root.mod1.rmm.intfcal1(root.mod1.rmm.nTz_rotor*root.mod1.rmm.d)" description="Electromagnetic force, z component"/>
      <expressions tag="Tx_rotor" expression="root.mod1.rmm.intfcal1(root.mod1.rmm.nTz_rotor*root.y*root.mod1.rmm.d)" description="Torque, x component"/>
      <expressions tag="Ty_rotor" expression="root.mod1.rmm.intfcal1(-root.mod1.rmm.nTz_rotor*root.x*root.mod1.rmm.d)" description="Torque, y component"/>
      <expressions tag="Tz_rotor" expression="root.mod1.rmm.intfcal1((root.mod1.rmm.nTy_rotor*root.x-root.mod1.rmm.nTx_rotor*root.y)*root.mod1.rmm.d)" description="Torque, z component"/>
      <expressions tag="Tax_rotor" description="Axial torque"/>
      <expressions tag="Forcex_stator" expression="root.mod1.rmm.intfcal2(root.mod1.rmm.nTx_stator*root.mod1.rmm.d)" description="Electromagnetic force, x component"/>
      <expressions tag="Forcey_stator" expression="root.mod1.rmm.intfcal2(root.mod1.rmm.nTy_stator*root.mod1.rmm.d)" description="Electromagnetic force, y component"/>
      <expressions tag="Forcez_stator" expression="root.mod1.rmm.intfcal2(root.mod1.rmm.nTz_stator*root.mod1.rmm.d)" description="Electromagnetic force, z component"/>
      <expressions tag="Tx_stator" expression="root.mod1.rmm.intfcal2(root.mod1.rmm.nTz_stator*root.y*root.mod1.rmm.d)" description="Torque, x component"/>
      <expressions tag="Ty_stator" expression="root.mod1.rmm.intfcal2(-root.mod1.rmm.nTz_stator*root.x*root.mod1.rmm.d)" description="Torque, y component"/>
      <expressions tag="Tz_stator" expression="root.mod1.rmm.intfcal2((root.mod1.rmm.nTy_stator*root.x-root.mod1.rmm.nTx_stator*root.y)*root.mod1.rmm.d)" description="Torque, z component"/>
      <expressions tag="Tax_stator" description="Axial torque"/>
    </objects>
    <objects xsi:type="com.comsol.mph-v7:Expr" tag="iexpr9" derivedFrom="//@physics/@physints[tag='rmm']/@prop/@props[tag='d']" storedParent="//@modelNode/@modelNodes[tag='mod1']" entityName="Variables 9" entityComments="" entityAuthor="" entityCreationTime="1297422255851">
      <tags tag="Analysis" values="1,'std1/time1'"/>
      <selection entityName="Selection" entityComments="" entityAuthor="" entityCreationTime="1297422255851" type="geomdim" geom="//@geom/@geoms[tag='geom1']" domains="29,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28" dim="2" hDim="2"/>
      <expressions tag="d" expression="1" description="Thickness"/>
    </objects>
    <objects xsi:type="com.comsol.mph-v7:Expr" tag="iexpr10" derivedFrom="//@physics/@physints[tag='rmm']/@feature/@features[tag='al1']" storedParent="//@modelNode/@modelNodes[tag='mod1']" entityName="Variables 10" entityComments="" entityAuthor="" entityCreationTime="1297422255851">
      <tags tag="Analysis" values="1,'std1/time1'"/>
      <selection entityName="Selection" entityComments="" entityAuthor="" entityCreationTime="1297422255851" type="geomdim" geom="//@geom/@geoms[tag='geom1']" domains="149,5,7,12,16,17,21,24,28,56,69,71,75,79,80,97,107,111,115,116,127" dim="1" hDim="1"/>
      <expressions tag="tEx" description="Tangential electric field, x component"/>
      <expressions tag="tEy" description="Tangential electric field, y component"/>
      <expressions tag="tEz" expression="-root.mod1.AzTIME+root.mod1.Azx*d(root.x,TIME)+root.mod1.Azy*d(root.y,TIME)" description="Tangential electric field, z component"/>
      <expressions tag="Qsh" description="Surface losses"/>
      <expressions tag="unTmx" expression="-0.5*dnx*(up(root.mod1.rmm.Bx)*up(root.mod1.rmm.Hx)+up(root.mod1.rmm.By)*up(root.mod1.rmm.Hy)+up(0)^2)+up(root.mod1.rmm.Bx)*(up(root.mod1.rmm.Hx)*dnx+up(root.mod1.rmm.Hy)*dny)" description="Maxwell upward magnetic surface stress tensor, x component"/>
      <expressions tag="unTmy" expression="-0.5*dny*(up(root.mod1.rmm.Bx)*up(root.mod1.rmm.Hx)+up(root.mod1.rmm.By)*up(root.mod1.rmm.Hy)+up(0)^2)+up(root.mod1.rmm.By)*(up(root.mod1.rmm.Hx)*dnx+up(root.mod1.rmm.Hy)*dny)" description="Maxwell upward magnetic surface stress tensor, y component"/>
      <expressions tag="unTmz" expression="up(0)*(up(root.mod1.rmm.Hx)*dnx+up(root.mod1.rmm.Hy)*dny)" description="Maxwell upward magnetic surface stress tensor, z component"/>
      <expressions tag="dnTmx" expression="-0.5*unx*(down(root.mod1.rmm.Bx)*down(root.mod1.rmm.Hx)+down(root.mod1.rmm.By)*down(root.mod1.rmm.Hy)+down(0)^2)+down(root.mod1.rmm.Bx)*(down(root.mod1.rmm.Hx)*unx+down(root.mod1.rmm.Hy)*uny)" description="Maxwell downward magnetic surface stress tensor, x component"/>
      <expressions tag="dnTmy" expression="-0.5*uny*(down(root.mod1.rmm.Bx)*down(root.mod1.rmm.Hx)+down(root.mod1.rmm.By)*down(root.mod1.rmm.Hy)+down(0)^2)+down(root.mod1.rmm.By)*(down(root.mod1.rmm.Hx)*unx+down(root.mod1.rmm.Hy)*uny)" description="Maxwell downward magnetic surface stress tensor, y component"/>
      <expressions tag="dnTmz" expression="down(0)*(down(root.mod1.rmm.Hx)*unx+down(root.mod1.rmm.Hy)*uny)" description="Maxwell downward magnetic surface stress tensor, z component"/>
      <expressions tag="unTex" expression="-0.5*dnx*(up(root.mod1.rmm.Dx)*up(0)+up(root.mod1.rmm.Dy)*up(0)+up(root.mod1.rmm.Dz)*up(root.mod1.rmm.Ez))+up(root.mod1.rmm.Dx)*up(0)*(dnx+dny)" description="Maxwell upward electric surface stress tensor, x component"/>
      <expressions tag="unTey" expression="-0.5*dny*(up(root.mod1.rmm.Dx)*up(0)+up(root.mod1.rmm.Dy)*up(0)+up(root.mod1.rmm.Dz)*up(root.mod1.rmm.Ez))+up(root.mod1.rmm.Dy)*up(0)*(dnx+dny)" description="Maxwell upward electric surface stress tensor, y component"/>
      <expressions tag="unTez" expression="up(root.mod1.rmm.Dz)*up(0)*(dnx+dny)" description="Maxwell upward electric surface stress tensor, z component"/>
      <expressions tag="dnTex" expression="-0.5*unx*(down(root.mod1.rmm.Dx)*down(0)+down(root.mod1.rmm.Dy)*down(0)+down(root.mod1.rmm.Dz)*down(root.mod1.rmm.Ez))+down(root.mod1.rmm.Dx)*down(0)*(unx+uny)" description="Maxwell downward electric surface stress tensor, x component"/>
      <expressions tag="dnTey" expression="-0.5*uny*(down(root.mod1.rmm.Dx)*down(0)+down(root.mod1.rmm.Dy)*down(0)+down(root.mod1.rmm.Dz)*down(root.mod1.rmm.Ez))+down(root.mod1.rmm.Dy)*down(0)*(unx+uny)" description="Maxwell downward electric surface stress tensor, y component"/>
      <expressions tag="dnTez" expression="down(root.mod1.rmm.Dz)*down(0)*(unx+uny)" description="Maxwell downward electric surface stress tensor, z component"/>
      <expressions tag="nPo" expression="-root.mod1.rmm.nx*root.mod1.rmm.Hy*root.mod1.rmm.Ez+root.mod1.rmm.ny*root.mod1.rmm.Hx*root.mod1.rmm.Ez+root.mod1.rmm.nz*(root.mod1.rmm.Hy*root.mod1.rmm.Ex-root.mod1.rmm.Hx*root.mod1.rmm.Ey)" description="Power outflow"/>
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      <expressions tag="tEx" description="Tangential electric field, x component"/>
      <expressions tag="tEy" description="Tangential electric field, y component"/>
      <expressions tag="tEz" expression="-root.mod1.AzTIME+root.mod1.Azx*d(root.x,TIME)+root.mod1.Azy*d(root.y,TIME)" description="Tangential electric field, z component"/>
      <expressions tag="Qsh" description="Surface losses"/>
      <expressions tag="unTmx" expression="-0.5*dnx*(up(root.mod1.rmm.Bx)*up(root.mod1.rmm.Hx)+up(root.mod1.rmm.By)*up(root.mod1.rmm.Hy)+up(0)^2)+up(root.mod1.rmm.Bx)*(up(root.mod1.rmm.Hx)*dnx+up(root.mod1.rmm.Hy)*dny)" description="Maxwell upward magnetic surface stress tensor, x component"/>
      <expressions tag="unTmy" expression="-0.5*dny*(up(root.mod1.rmm.Bx)*up(root.mod1.rmm.Hx)+up(root.mod1.rmm.By)*up(root.mod1.rmm.Hy)+up(0)^2)+up(root.mod1.rmm.By)*(up(root.mod1.rmm.Hx)*dnx+up(root.mod1.rmm.Hy)*dny)" description="Maxwell upward magnetic surface stress tensor, y component"/>
      <expressions tag="unTmz" expression="up(0)*(up(root.mod1.rmm.Hx)*dnx+up(root.mod1.rmm.Hy)*dny)" description="Maxwell upward magnetic surface stress tensor, z component"/>
      <expressions tag="dnTmx" expression="-0.5*unx*(down(root.mod1.rmm.Bx)*down(root.mod1.rmm.Hx)+down(root.mod1.rmm.By)*down(root.mod1.rmm.Hy)+down(0)^2)+down(root.mod1.rmm.Bx)*(down(root.mod1.rmm.Hx)*unx+down(root.mod1.rmm.Hy)*uny)" description="Maxwell downward magnetic surface stress tensor, x component"/>
      <expressions tag="dnTmy" expression="-0.5*uny*(down(root.mod1.rmm.Bx)*down(root.mod1.rmm.Hx)+down(root.mod1.rmm.By)*down(root.mod1.rmm.Hy)+down(0)^2)+down(root.mod1.rmm.By)*(down(root.mod1.rmm.Hx)*unx+down(root.mod1.rmm.Hy)*uny)" description="Maxwell downward magnetic surface stress tensor, y component"/>
      <expressions tag="dnTmz" expression="down(0)*(down(root.mod1.rmm.Hx)*unx+down(root.mod1.rmm.Hy)*uny)" description="Maxwell downward magnetic surface stress tensor, z component"/>
      <expressions tag="unTex" expression="-0.5*dnx*(up(root.mod1.rmm.Dx)*up(0)+up(root.mod1.rmm.Dy)*up(0)+up(root.mod1.rmm.Dz)*up(root.mod1.rmm.Ez))+up(root.mod1.rmm.Dx)*up(0)*(dnx+dny)" description="Maxwell upward electric surface stress tensor, x component"/>
      <expressions tag="unTey" expression="-0.5*dny*(up(root.mod1.rmm.Dx)*up(0)+up(root.mod1.rmm.Dy)*up(0)+up(root.mod1.rmm.Dz)*up(root.mod1.rmm.Ez))+up(root.mod1.rmm.Dy)*up(0)*(dnx+dny)" description="Maxwell upward electric surface stress tensor, y component"/>
      <expressions tag="unTez" expression="up(root.mod1.rmm.Dz)*up(0)*(dnx+dny)" description="Maxwell upward electric surface stress tensor, z component"/>
      <expressions tag="dnTex" expression="-0.5*unx*(down(root.mod1.rmm.Dx)*down(0)+down(root.mod1.rmm.Dy)*down(0)+down(root.mod1.rmm.Dz)*down(root.mod1.rmm.Ez))+down(root.mod1.rmm.Dx)*down(0)*(unx+uny)" description="Maxwell downward electric surface stress tensor, x component"/>
      <expressions tag="dnTey" expression="-0.5*uny*(down(root.mod1.rmm.Dx)*down(0)+down(root.mod1.rmm.Dy)*down(0)+down(root.mod1.rmm.Dz)*down(root.mod1.rmm.Ez))+down(root.mod1.rmm.Dy)*down(0)*(unx+uny)" description="Maxwell downward electric surface stress tensor, y component"/>
      <expressions tag="dnTez" expression="down(root.mod1.rmm.Dz)*down(0)*(unx+uny)" description="Maxwell downward electric surface stress tensor, z component"/>
      <expressions tag="nPo" expression="-root.mod1.rmm.nx*root.mod1.rmm.Hy*root.mod1.rmm.Ez+root.mod1.rmm.ny*root.mod1.rmm.Hx*root.mod1.rmm.Ez+root.mod1.rmm.nz*(root.mod1.rmm.Hy*root.mod1.rmm.Ex-root.mod1.rmm.Hx*root.mod1.rmm.Ey)" description="Power outflow"/>
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      <expressions tag="tEx" description="Tangential electric field, x component"/>
      <expressions tag="tEy" description="Tangential electric field, y component"/>
      <expressions tag="tEz" expression="-root.mod1.AzTIME+root.mod1.Azx*d(root.x,TIME)+root.mod1.Azy*d(root.y,TIME)" description="Tangential electric field, z component"/>
      <expressions tag="Qsh" description="Surface losses"/>
      <expressions tag="unTmx" expression="-0.5*dnx*(up(root.mod1.rmm.Bx)*up(root.mod1.rmm.Hx)+up(root.mod1.rmm.By)*up(root.mod1.rmm.Hy)+up(0)^2)+up(root.mod1.rmm.Bx)*(up(root.mod1.rmm.Hx)*dnx+up(root.mod1.rmm.Hy)*dny)" description="Maxwell upward magnetic surface stress tensor, x component"/>
      <expressions tag="unTmy" expression="-0.5*dny*(up(root.mod1.rmm.Bx)*up(root.mod1.rmm.Hx)+up(root.mod1.rmm.By)*up(root.mod1.rmm.Hy)+up(0)^2)+up(root.mod1.rmm.By)*(up(root.mod1.rmm.Hx)*dnx+up(root.mod1.rmm.Hy)*dny)" description="Maxwell upward magnetic surface stress tensor, y component"/>
      <expressions tag="unTmz" expression="up(0)*(up(root.mod1.rmm.Hx)*dnx+up(root.mod1.rmm.Hy)*dny)" description="Maxwell upward magnetic surface stress tensor, z component"/>
      <expressions tag="dnTmx" expression="-0.5*unx*(down(root.mod1.rmm.Bx)*down(root.mod1.rmm.Hx)+down(root.mod1.rmm.By)*down(root.mod1.rmm.Hy)+down(0)^2)+down(root.mod1.rmm.Bx)*(down(root.mod1.rmm.Hx)*unx+down(root.mod1.rmm.Hy)*uny)" description="Maxwell downward magnetic surface stress tensor, x component"/>
      <expressions tag="dnTmy" expression="-0.5*uny*(down(root.mod1.rmm.Bx)*down(root.mod1.rmm.Hx)+down(root.mod1.rmm.By)*down(root.mod1.rmm.Hy)+down(0)^2)+down(root.mod1.rmm.By)*(down(root.mod1.rmm.Hx)*unx+down(root.mod1.rmm.Hy)*uny)" description="Maxwell downward magnetic surface stress tensor, y component"/>
      <expressions tag="dnTmz" expression="down(0)*(down(root.mod1.rmm.Hx)*unx+down(root.mod1.rmm.Hy)*uny)" description="Maxwell downward magnetic surface stress tensor, z component"/>
      <expressions tag="dnTx" expression="root.mod1.rmm.dnTmx+root.mod1.rmm.dnTex" description="Maxwell downward surface stress tensor, x component"/>
      <expressions tag="dnTy" expression="root.mod1.rmm.dnTmy+root.mod1.rmm.dnTey" description="Maxwell downward surface stress tensor, y component"/>
      <expressions tag="dnTz" expression="root.mod1.rmm.dnTmz+root.mod1.rmm.dnTez" description="Maxwell downward surface stress tensor, z component"/>
      <expressions tag="unTex" expression="-0.5*dnx*(up(root.mod1.rmm.Dx)*up(0)+up(root.mod1.rmm.Dy)*up(0)+up(root.mod1.rmm.Dz)*up(root.mod1.rmm.Ez))+up(root.mod1.rmm.Dx)*up(0)*(dnx+dny)" description="Maxwell upward electric surface stress tensor, x component"/>
      <expressions tag="unTey" expression="-0.5*dny*(up(root.mod1.rmm.Dx)*up(0)+up(root.mod1.rmm.Dy)*up(0)+up(root.mod1.rmm.Dz)*up(root.mod1.rmm.Ez))+up(root.mod1.rmm.Dy)*up(0)*(dnx+dny)" description="Maxwell upward electric surface stress tensor, y component"/>
      <expressions tag="unTez" expression="up(root.mod1.rmm.Dz)*up(0)*(dnx+dny)" description="Maxwell upward electric surface stress tensor, z component"/>
      <expressions tag="dnTex" expression="-0.5*unx*(down(root.mod1.rmm.Dx)*down(0)+down(root.mod1.rmm.Dy)*down(0)+down(root.mod1.rmm.Dz)*down(root.mod1.rmm.Ez))+down(root.mod1.rmm.Dx)*down(0)*(unx+uny)" description="Maxwell downward electric surface stress tensor, x component"/>
      <expressions tag="dnTey" expression="-0.5*uny*(down(root.mod1.rmm.Dx)*down(0)+down(root.mod1.rmm.Dy)*down(0)+down(root.mod1.rmm.Dz)*down(root.mod1.rmm.Ez))+down(root.mod1.rmm.Dy)*down(0)*(unx+uny)" description="Maxwell downward electric surface stress tensor, y component"/>
      <expressions tag="dnTez" expression="down(root.mod1.rmm.Dz)*down(0)*(unx+uny)" description="Maxwell downward electric surface stress tensor, z component"/>
      <expressions tag="nPo" expression="-root.mod1.rmm.nx*root.mod1.rmm.Hy*root.mod1.rmm.Ez+root.mod1.rmm.ny*root.mod1.rmm.Hx*root.mod1.rmm.Ez+root.mod1.rmm.nz*(root.mod1.rmm.Hy*root.mod1.rmm.Ex-root.mod1.rmm.Hx*root.mod1.rmm.Ey)" description="Power outflow"/>
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      <expressions tag="murxx" expression="1" description="Relative permeability, xx component"/>
      <expressions tag="muryy" expression="1" description="Relative permeability, yy component"/>
      <expressions tag="murzz" expression="1" description="Relative permeability, zz component"/>
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    <objects xsi:type="com.comsol.mph-v7:Expr" tag="iexpr14" derivedFrom="//@physics/@physints[tag='rmm']/@feature/@features[tag='al1']" storedParent="//@modelNode/@modelNodes[tag='mod1']" entityName="Variables 14" entityComments="" entityAuthor="" entityCreationTime="1297422255867">
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      <expressions tag="murxx" expression="1000" description="Relative permeability, xx component"/>
      <expressions tag="muryy" expression="1000" description="Relative permeability, yy component"/>
      <expressions tag="murzz" expression="1000" description="Relative permeability, zz component"/>
    </objects>
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      <expressions tag="unTy" expression="root.mod1.rmm.unTmy+root.mod1.rmm.unTey" description="Maxwell upward surface stress tensor, y component"/>
      <expressions tag="unTz" expression="root.mod1.rmm.unTmz+root.mod1.rmm.unTez" description="Maxwell upward surface stress tensor, z component"/>
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      <expressions tag="dnTy" expression="root.mod1.rmm.dnTmy+root.mod1.rmm.dnTey" description="Maxwell downward surface stress tensor, y component"/>
      <expressions tag="dnTz" expression="root.mod1.rmm.dnTmz+root.mod1.rmm.dnTez" description="Maxwell downward surface stress tensor, z component"/>
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      <selection entityName="Selection" entityComments="" entityAuthor="" entityCreationTime="1297422255976" type="geomdim" geom="//@geom/@geoms[tag='geom1']" domains="149,11,15,18,22,74,78,108,114" dim="1" hDim="1"/>
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      <expressions tag="unTy" expression="root.mod1.rmm.unTmy+root.mod1.rmm.unTey" description="Maxwell upward surface stress tensor, y component"/>
      <expressions tag="unTz" expression="root.mod1.rmm.unTmz+root.mod1.rmm.unTez" description="Maxwell upward surface stress tensor, z component"/>
      <expressions tag="dnTx" expression="root.mod1.rmm.dnTmx+root.mod1.rmm.dnTex" description="Maxwell downward surface stress tensor, x component"/>
      <expressions tag="dnTy" expression="root.mod1.rmm.dnTmy+root.mod1.rmm.dnTey" description="Maxwell downward surface stress tensor, y component"/>
      <expressions tag="dnTz" expression="root.mod1.rmm.dnTmz+root.mod1.rmm.dnTez" description="Maxwell downward surface stress tensor, z component"/>
    </objects>
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      <expressions tag="unTz" expression="root.mod1.rmm.unTmz+root.mod1.rmm.unTez" description="Maxwell upward surface stress tensor, z component"/>
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      <expressions tag="unTz" expression="root.mod1.rmm.unTmz+root.mod1.rmm.unTez" description="Maxwell upward surface stress tensor, z component"/>
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      <expressions tag="dnTy" expression="root.mod1.rmm.dnTmy+root.mod1.rmm.dnTey" description="Maxwell downward surface stress tensor, y component"/>
      <expressions tag="dnTz" expression="root.mod1.rmm.dnTmz+root.mod1.rmm.dnTez" description="Maxwell downward surface stress tensor, z component"/>
    </objects>
    <objects xsi:type="com.comsol.mph-v7:Expr" tag="iexpr19" derivedFrom="//@physics/@physints[tag='rmm']/@feature/@features[tag='al1']" storedParent="//@modelNode/@modelNodes[tag='mod1']" entityName="Variables 19" entityComments="" entityAuthor="" entityCreationTime="1297422255976">
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      <selection entityName="Selection" entityComments="" entityAuthor="" entityCreationTime="1297422255976" type="geomdim" geom="//@geom/@geoms[tag='geom1']" domains="149,6,8,23,27,57,70,98,126" dim="1" hDim="1"/>
      <expressions tag="unTx" expression="root.mod1.rmm.unTmx+root.mod1.rmm.unTex" description="Maxwell upward surface stress tensor, x component"/>
      <expressions tag="unTy" expression="root.mod1.rmm.unTmy+root.mod1.rmm.unTey" description="Maxwell upward surface stress tensor, y component"/>
      <expressions tag="unTz" expression="root.mod1.rmm.unTmz+root.mod1.rmm.unTez" description="Maxwell upward surface stress tensor, z component"/>
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      <expressions tag="dnTy" expression="root.mod1.rmm.dnTmy+root.mod1.rmm.dnTey" description="Maxwell downward surface stress tensor, y component"/>
      <expressions tag="dnTz" expression="root.mod1.rmm.dnTmz+root.mod1.rmm.dnTez" description="Maxwell downward surface stress tensor, z component"/>
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      <expressions tag="dxx" expression="cos(2*root.t*pi)*root.X-sin(2*root.t*pi)*root.Y-root.X" description="Prescribed mesh displacement, x component"/>
      <expressions tag="dxy" expression="sin(2*root.t*pi)*root.X+cos(2*root.t*pi)*root.Y-root.Y" description="Prescribed mesh displacement, y component"/>
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    <objects xsi:type="com.comsol.mph-v7:Expr" tag="iexpr21" derivedFrom="//@physics/@physints[tag='rmm']/@feature/@features[tag='fcal1']" storedParent="//@modelNode/@modelNodes[tag='mod1']" entityName="Variables 21" entityComments="" entityAuthor="" entityCreationTime="1297422256070">
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      <expressions tag="nTy_rotor" expression="root.mod1.rmm.unTy" description="Maxwell surface stress tensor, y component"/>
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      <expressions tag="nTz_stator" expression="root.mod1.rmm.dnTz" description="Maxwell surface stress tensor, z component"/>
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      <tags tag="Analysis" values="1,'std1/time1'"/>
      <selection entityName="Selection" entityComments="" entityAuthor="" entityCreationTime="1297422256070" type="global"/>
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      <expressions tag="T21" expression="root.nx" description="Coordinate transform to system (sys1), 21 component"/>
      <expressions tag="T31" description="Coordinate transform to system (sys1), 31 component"/>
      <expressions tag="T12" expression="-root.nx/sqrt(1+eps)" description="Coordinate transform to system (sys1), 12 component"/>
      <expressions tag="T22" expression="root.ny" description="Coordinate transform to system (sys1), 22 component"/>
      <expressions tag="T32" description="Coordinate transform to system (sys1), 32 component"/>
      <expressions tag="T13" description="Coordinate transform to system (sys1), 13 component"/>
      <expressions tag="T23" description="Coordinate transform to system (sys1), 23 component"/>
      <expressions tag="T33" expression="1/sqrt(1+eps)" description="Coordinate transform to system (sys1), 33 component"/>
      <expressions tag="detT" expression="root.mod1.sys1.T33*(root.mod1.sys1.T11*root.mod1.sys1.T22-root.mod1.sys1.T12*root.mod1.sys1.T21)" description="Determinant of coordinate transform to system"/>
      <expressions tag="e_t11" expression="root.mod1.sys1.T11" description="Base vector (sys1) t1, x component"/>
      <expressions tag="e_t12" expression="root.mod1.sys1.T12" description="Base vector (sys1) t1, y component"/>
      <expressions tag="e_t13" description="Base vector (sys1) t1, z component"/>
      <expressions tag="e_n1" expression="root.mod1.sys1.T21" description="Base vector (sys1) n, x component"/>
      <expressions tag="e_n2" expression="root.mod1.sys1.T22" description="Base vector (sys1) n, y component"/>
      <expressions tag="e_n3" description="Base vector (sys1) n, z component"/>
      <expressions tag="e_to1" description="Base vector (sys1) to, x component"/>
      <expressions tag="e_to2" description="Base vector (sys1) to, y component"/>
      <expressions tag="e_to3" expression="root.mod1.sys1.T33" description="Base vector (sys1) to, z component"/>
      <expressions tag="gSub11" expression="root.mod1.sys1.T11^2+root.mod1.sys1.T12^2" description="Covariant metric tensor, 11 component"/>
      <expressions tag="gSub21" expression="root.mod1.sys1.T21*root.mod1.sys1.T11+root.mod1.sys1.T22*root.mod1.sys1.T12" description="Covariant metric tensor, 21 component"/>
      <expressions tag="gSub31" description="Covariant metric tensor, 31 component"/>
      <expressions tag="gSub12" expression="root.mod1.sys1.T11*root.mod1.sys1.T21+root.mod1.sys1.T12*root.mod1.sys1.T22" description="Covariant metric tensor, 12 component"/>
      <expressions tag="gSub22" expression="root.mod1.sys1.T21^2+root.mod1.sys1.T22^2" description="Covariant metric tensor, 22 component"/>
      <expressions tag="gSub32" description="Covariant metric tensor, 32 component"/>
      <expressions tag="gSub13" description="Covariant metric tensor, 13 component"/>
      <expressions tag="gSub23" description="Covariant metric tensor, 23 component"/>
      <expressions tag="gSub33" expression="root.mod1.sys1.T33^2" description="Covariant metric tensor, 33 component"/>
      <expressions tag="invT11" expression="root.ny/sqrt(1+eps)" description="Coordinate transform from system (sys1), 11 component"/>
      <expressions tag="invT21" expression="-root.nx/sqrt(1+eps)" description="Coordinate transform from system (sys1), 21 component"/>
      <expressions tag="invT31" description="Coordinate transform from system (sys1), 31 component"/>
      <expressions tag="invT12" expression="root.nx" description="Coordinate transform from system (sys1), 12 component"/>
      <expressions tag="invT22" expression="root.ny" description="Coordinate transform from system (sys1), 22 component"/>
      <expressions tag="invT32" description="Coordinate transform from system (sys1), 32 component"/>
      <expressions tag="invT13" description="Coordinate transform from system (sys1), 13 component"/>
      <expressions tag="invT23" description="Coordinate transform from system (sys1), 23 component"/>
      <expressions tag="invT33" expression="1/sqrt(1+eps)" description="Coordinate transform from system (sys1), 33 component"/>
      <expressions tag="detInvT" expression="root.mod1.sys1.invT33*(root.mod1.sys1.invT11*root.mod1.sys1.invT22-root.mod1.sys1.invT12*root.mod1.sys1.invT21)" description="Determinant of coordinate transform to system"/>
      <expressions tag="gSup11" expression="root.mod1.sys1.invT11^2+root.mod1.sys1.invT21^2" description="Contravariant metric tensor, 11 component"/>
      <expressions tag="gSup21" expression="root.mod1.sys1.invT12*root.mod1.sys1.invT11+root.mod1.sys1.invT22*root.mod1.sys1.invT21" description="Contravariant metric tensor, 21 component"/>
      <expressions tag="gSup31" description="Contravariant metric tensor, 31 component"/>
      <expressions tag="gSup12" expression="root.mod1.sys1.invT11*root.mod1.sys1.invT12+root.mod1.sys1.invT21*root.mod1.sys1.invT22" description="Contravariant metric tensor, 12 component"/>
      <expressions tag="gSup22" expression="root.mod1.sys1.invT12^2+root.mod1.sys1.invT22^2" description="Contravariant metric tensor, 22 component"/>
      <expressions tag="gSup32" description="Contravariant metric tensor, 32 component"/>
      <expressions tag="gSup13" description="Contravariant metric tensor, 13 component"/>
      <expressions tag="gSup23" description="Contravariant metric tensor, 23 component"/>
      <expressions tag="gSup33" expression="root.mod1.sys1.invT33^2" description="Contravariant metric tensor, 33 component"/>
    </objects>
    <objects xsi:type="com.comsol.mph-v7:Expr" tag="iexpr23" derivedFrom="//@coordsys/@features[tag='sys2']" storedParent="//@modelNode/@modelNodes[tag='mod1']" entityName="Variables 23" entityComments="" entityAuthor="" entityCreationTime="1297422256085">
      <tags tag="Analysis" values="1,'std1/time1'"/>
      <selection entityName="Selection" entityComments="" entityAuthor="" entityCreationTime="1297422256085" type="global"/>
      <expressions tag="T11" expression="root.nY/sqrt(1+eps)" description="Coordinate transform to system (sys2), 11 component"/>
      <expressions tag="T21" expression="root.nX" description="Coordinate transform to system (sys2), 21 component"/>
      <expressions tag="T31" description="Coordinate transform to system (sys2), 31 component"/>
      <expressions tag="T12" expression="-root.nX/sqrt(1+eps)" description="Coordinate transform to system (sys2), 12 component"/>
      <expressions tag="T22" expression="root.nY" description="Coordinate transform to system (sys2), 22 component"/>
      <expressions tag="T32" description="Coordinate transform to system (sys2), 32 component"/>
      <expressions tag="T13" description="Coordinate transform to system (sys2), 13 component"/>
      <expressions tag="T23" description="Coordinate transform to system (sys2), 23 component"/>
      <expressions tag="T33" expression="1/sqrt(1+eps)" description="Coordinate transform to system (sys2), 33 component"/>
      <expressions tag="detT" expression="root.mod1.sys2.T33*(root.mod1.sys2.T11*root.mod1.sys2.T22-root.mod1.sys2.T12*root.mod1.sys2.T21)" description="Determinant of coordinate transform to system"/>
      <expressions tag="e_t11" expression="root.mod1.sys2.T11" description="Base vector (sys2) t1, X component"/>
      <expressions tag="e_t12" expression="root.mod1.sys2.T12" description="Base vector (sys2) t1, Y component"/>
      <expressions tag="e_t13" description="Base vector (sys2) t1, Z component"/>
      <expressions tag="e_n1" expression="root.mod1.sys2.T21" description="Base vector (sys2) n, X component"/>
      <expressions tag="e_n2" expression="root.mod1.sys2.T22" description="Base vector (sys2) n, Y component"/>
      <expressions tag="e_n3" description="Base vector (sys2) n, Z component"/>
      <expressions tag="e_to1" description="Base vector (sys2) to, X component"/>
      <expressions tag="e_to2" description="Base vector (sys2) to, Y component"/>
      <expressions tag="e_to3" expression="root.mod1.sys2.T33" description="Base vector (sys2) to, Z component"/>
      <expressions tag="gSub11" expression="root.mod1.sys2.T11^2+root.mod1.sys2.T12^2" description="Covariant metric tensor, 11 component"/>
      <expressions tag="gSub21" expression="root.mod1.sys2.T21*root.mod1.sys2.T11+root.mod1.sys2.T22*root.mod1.sys2.T12" description="Covariant metric tensor, 21 component"/>
      <expressions tag="gSub31" description="Covariant metric tensor, 31 component"/>
      <expressions tag="gSub12" expression="root.mod1.sys2.T11*root.mod1.sys2.T21+root.mod1.sys2.T12*root.mod1.sys2.T22" description="Covariant metric tensor, 12 component"/>
      <expressions tag="gSub22" expression="root.mod1.sys2.T21^2+root.mod1.sys2.T22^2" description="Covariant metric tensor, 22 component"/>
      <expressions tag="gSub32" description="Covariant metric tensor, 32 component"/>
      <expressions tag="gSub13" description="Covariant metric tensor, 13 component"/>
      <expressions tag="gSub23" description="Covariant metric tensor, 23 component"/>
      <expressions tag="gSub33" expression="root.mod1.sys2.T33^2" description="Covariant metric tensor, 33 component"/>
      <expressions tag="invT11" expression="root.nY/sqrt(1+eps)" description="Coordinate transform from system (sys2), 11 component"/>
      <expressions tag="invT21" expression="-root.nX/sqrt(1+eps)" description="Coordinate transform from system (sys2), 21 component"/>
      <expressions tag="invT31" description="Coordinate transform from system (sys2), 31 component"/>
      <expressions tag="invT12" expression="root.nX" description="Coordinate transform from system (sys2), 12 component"/>
      <expressions tag="invT22" expression="root.nY" description="Coordinate transform from system (sys2), 22 component"/>
      <expressions tag="invT32" description="Coordinate transform from system (sys2), 32 component"/>
      <expressions tag="invT13" description="Coordinate transform from system (sys2), 13 component"/>
      <expressions tag="invT23" description="Coordinate transform from system (sys2), 23 component"/>
      <expressions tag="invT33" expression="1/sqrt(1+eps)" description="Coordinate transform from system (sys2), 33 component"/>
      <expressions tag="detInvT" expression="root.mod1.sys2.invT33*(root.mod1.sys2.invT11*root.mod1.sys2.invT22-root.mod1.sys2.invT12*root.mod1.sys2.invT21)" description="Determinant of coordinate transform to system"/>
      <expressions tag="gSup11" expression="root.mod1.sys2.invT11^2+root.mod1.sys2.invT21^2" description="Contravariant metric tensor, 11 component"/>
      <expressions tag="gSup21" expression="root.mod1.sys2.invT12*root.mod1.sys2.invT11+root.mod1.sys2.invT22*root.mod1.sys2.invT21" description="Contravariant metric tensor, 21 component"/>
      <expressions tag="gSup31" description="Contravariant metric tensor, 31 component"/>
      <expressions tag="gSup12" expression="root.mod1.sys2.invT11*root.mod1.sys2.invT12+root.mod1.sys2.invT21*root.mod1.sys2.invT22" description="Contravariant metric tensor, 12 component"/>
      <expressions tag="gSup22" expression="root.mod1.sys2.invT12^2+root.mod1.sys2.invT22^2" description="Contravariant metric tensor, 22 component"/>
      <expressions tag="gSup32" description="Contravariant metric tensor, 32 component"/>
      <expressions tag="gSup13" description="Contravariant metric tensor, 13 component"/>
      <expressions tag="gSup23" description="Contravariant metric tensor, 23 component"/>
      <expressions tag="gSup33" expression="root.mod1.sys2.invT33^2" description="Contravariant metric tensor, 33 component"/>
    </objects>
    <objects xsi:type="com.comsol.mph-v7:Expr" tag="iexpr24" derivedFrom="//@material/@materials[tag='mat2']/@materialmodel/@models[tag='def']" entityName="Variables 24" entityComments="" entityAuthor="" entityCreationTime="1297422256101">
      <tags tag="Analysis" values="1,'std1/time1'"/>
      <selection entityName="Selection" entityComments="" entityAuthor="" entityCreationTime="1297422256101" type="global"/>
      <expressions tag="epsilonr11" expression="1"/>
      <expressions tag="epsilonr21"/>
      <expressions tag="epsilonr31"/>
      <expressions tag="epsilonr12"/>
      <expressions tag="epsilonr22" expression="1"/>
      <expressions tag="epsilonr32"/>
      <expressions tag="epsilonr13"/>
      <expressions tag="epsilonr23"/>
      <expressions tag="epsilonr33" expression="1"/>
      <expressions tag="mur11" expression="1"/>
      <expressions tag="mur21"/>
      <expressions tag="mur31"/>
      <expressions tag="mur12"/>
      <expressions tag="mur22" expression="1"/>
      <expressions tag="mur32"/>
      <expressions tag="mur13"/>
      <expressions tag="mur23"/>
      <expressions tag="mur33" expression="1"/>
      <expressions tag="sigma11"/>
      <expressions tag="sigma21"/>
      <expressions tag="sigma31"/>
      <expressions tag="sigma12"/>
      <expressions tag="sigma22"/>
      <expressions tag="sigma32"/>
      <expressions tag="sigma13"/>
      <expressions tag="sigma23"/>
      <expressions tag="sigma33"/>
    </objects>
    <objects xsi:type="com.comsol.mph-v7:Expr" tag="iexpr25" derivedFrom="//@material/@materials[tag='mat3']/@materialmodel/@models[tag='def']" entityName="Variables 25" entityComments="" entityAuthor="" entityCreationTime="1297422256101">
      <tags tag="Analysis" values="1,'std1/time1'"/>
      <selection entityName="Selection" entityComments="" entityAuthor="" entityCreationTime="1297422256101" type="global"/>
      <expressions tag="epsilonr11" expression="1"/>
      <expressions tag="epsilonr21"/>
      <expressions tag="epsilonr31"/>
      <expressions tag="epsilonr12"/>
      <expressions tag="epsilonr22" expression="1"/>
      <expressions tag="epsilonr32"/>
      <expressions tag="epsilonr13"/>
      <expressions tag="epsilonr23"/>
      <expressions tag="epsilonr33" expression="1"/>
      <expressions tag="mur11" expression="1"/>
      <expressions tag="mur21"/>
      <expressions tag="mur31"/>
      <expressions tag="mur12"/>
      <expressions tag="mur22" expression="1"/>
      <expressions tag="mur32"/>
      <expressions tag="mur13"/>
      <expressions tag="mur23"/>
      <expressions tag="mur33" expression="1"/>
      <expressions tag="sigma11"/>
      <expressions tag="sigma21"/>
      <expressions tag="sigma31"/>
      <expressions tag="sigma12"/>
      <expressions tag="sigma22"/>
      <expressions tag="sigma32"/>
      <expressions tag="sigma13"/>
      <expressions tag="sigma23"/>
      <expressions tag="sigma33"/>
    </objects>
    <objects xsi:type="com.comsol.mph-v7:Expr" tag="iexpr26" derivedFrom="//@material/@materials[tag='mat4']/@materialmodel/@models[tag='def']" entityName="Variables 26" entityComments="" entityAuthor="" entityCreationTime="1297422256117">
      <tags tag="Analysis" values="1,'std1/time1'"/>
      <selection entityName="Selection" entityComments="" entityAuthor="" entityCreationTime="1297422256117" type="global"/>
      <expressions tag="sigma11"/>
      <expressions tag="sigma21"/>
      <expressions tag="sigma31"/>
      <expressions tag="sigma12"/>
      <expressions tag="sigma22"/>
      <expressions tag="sigma32"/>
      <expressions tag="sigma13"/>
      <expressions tag="sigma23"/>
      <expressions tag="sigma33"/>
      <expressions tag="epsilonr11" expression="1"/>
      <expressions tag="epsilonr21"/>
      <expressions tag="epsilonr31"/>
      <expressions tag="epsilonr12"/>
      <expressions tag="epsilonr22" expression="1"/>
      <expressions tag="epsilonr32"/>
      <expressions tag="epsilonr13"/>
      <expressions tag="epsilonr23"/>
      <expressions tag="epsilonr33" expression="1"/>
      <expressions tag="mur11" expression="1000"/>
      <expressions tag="mur21"/>
      <expressions tag="mur31"/>
      <expressions tag="mur12"/>
      <expressions tag="mur22" expression="1000"/>
      <expressions tag="mur32"/>
      <expressions tag="mur13"/>
      <expressions tag="mur23"/>
      <expressions tag="mur33" expression="1000"/>
    </objects>
    <objects xsi:type="com.comsol.mph-v7:Expr" tag="iexpr27" derivedFrom="//@material/@materials[tag='mat5']/@materialmodel/@models[tag='def']" entityName="Variables 27" entityComments="" entityAuthor="" entityCreationTime="1297422256117">
      <tags tag="Analysis" values="1,'std1/time1'"/>
      <selection entityName="Selection" entityComments="" entityAuthor="" entityCreationTime="1297422256117" type="global"/>
      <expressions tag="sigma11"/>
      <expressions tag="sigma21"/>
      <expressions tag="sigma31"/>
      <expressions tag="sigma12"/>
      <expressions tag="sigma22"/>
      <expressions tag="sigma32"/>
      <expressions tag="sigma13"/>
      <expressions tag="sigma23"/>
      <expressions tag="sigma33"/>
      <expressions tag="epsilonr11" expression="1"/>
      <expressions tag="epsilonr21"/>
      <expressions tag="epsilonr31"/>
      <expressions tag="epsilonr12"/>
      <expressions tag="epsilonr22" expression="1"/>
      <expressions tag="epsilonr32"/>
      <expressions tag="epsilonr13"/>
      <expressions tag="epsilonr23"/>
      <expressions tag="epsilonr33" expression="1"/>
      <expressions tag="mur11" expression="1"/>
      <expressions tag="mur21"/>
      <expressions tag="mur31"/>
      <expressions tag="mur12"/>
      <expressions tag="mur22" expression="1"/>
      <expressions tag="mur32"/>
      <expressions tag="mur13"/>
      <expressions tag="mur23"/>
      <expressions tag="mur33" expression="1"/>
    </objects>
  </expr>
  <func entityName="List" entityComments="" entityAuthor="" entityCreationTime="1297417784301" model="/"/>
  <init entityName="List" entityComments="" entityAuthor="" entityCreationTime="1297417786126" model="/">
    <objects xsi:type="com.comsol.mph-v7:Init" tag="init1" derivedFrom="//@physics/@physints[tag='rmm']/@feature/@features[tag='init1']" entityName="Variables 1" entityComments="" entityAuthor="" entityCreationTime="1297422255617">
      <selection storedParent="//@modelNode/@modelNodes[tag='mod1']" entityName="Selection" entityComments="" entityAuthor="" entityCreationTime="1297422255617" type="geomdim" geom="//@geom/@geoms[tag='geom1']" domains="29,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28" dim="2" hDim="2"/>
      <expressions tag="root.mod1.Az"/>
    </objects>
  </init>
  <geom entityName="List" entityComments="" entityAuthor="" entityCreationTime="1297417784301" model="/">
    <geoms tag="geom1" storedParent="//@modelNode/@modelNodes[tag='mod1']" entityName="Geometry 1" entityComments="" entityAuthor="" entityCreationTime="1297417785221" assocID="1,0,-1307918050,2128231175" angularUnit="deg" assocMaps="{0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,0,17,18,19,20,106,107,21,22,23,24,25,26,27,28,29,30,108,109,31,32,33,34,35,36,110,111,112,37,38,113,114,115,116,117,118,119,39,40,41,42,43,44,120,121,45,46,47,48,49,50,122,123,51,0,0,54,126,127,55,56,57,58,59,60,128,129,61,62,63,64,65,66,130,131,132,133,134,135,136,67,68,137,138,139,69,70,71,72,73,74,140,141,75,76,77,78,79,80,81,82,83,84,142,143,85,86,87,88,0,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104},{0,1,2,3,4,105,106,107,108,5,6,109,110,7,8,111,112,113,114,9,10,115,116,117,118,11,12,119,120,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,0,0,34,35,36,37,38,39,123,124,40,41,42,43,44,45,46,47,48,49,125,126,127,128,50,51,129,130,131,132,133,134,135,52,53,54,55,56,57,58,59,60,61,136,137,62,0,0,65,140,141,66,67,68,69,70,71,72,73,142,143,74,75,144,145,146,147,148,149,150,76,77,78,79,80,81,82,83,151,152,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104},{0,1,2,19,20,21,22,23,24,25,26,27,3,4,5,6,7,8,28,9,10,11,12,13,14,15,16,17,18}" inverseAssocMaps="{0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,23,24,25,26,27,28,29,30,31,32,35,36,37,38,39,40,44,45,53,54,55,56,57,58,61,62,63,64,65,66,69,70,71,72,75,76,77,78,79,80,83,84,85,86,87,88,96,97,101,102,103,104,105,106,109,110,111,112,113,114,115,116,117,118,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,0,21,22,33,34,41,42,43,46,47,48,49,50,51,52,59,60,67,68,0,0,73,74,81,82,89,90,91,92,93,94,95,98,99,100,107,108,119,120,0},{0,1,2,3,4,9,10,13,14,19,20,25,26,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,58,59,60,61,62,63,64,65,66,67,72,73,81,82,83,84,85,86,87,88,89,90,93,94,95,96,99,100,101,102,103,104,105,106,109,110,118,119,120,121,122,123,124,125,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,5,6,7,8,11,12,15,16,17,18,21,22,23,24,27,28,48,49,56,57,68,69,70,71,74,75,76,77,78,79,80,91,92,94,95,97,98,107,108,111,112,113,114,115,116,117,126,127},{0,1,2,12,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,3,4,5,6,7,8,9,10,11,18}" current="//@geom/@geoms[tag='geom1']/@feature/@features[tag='Rotor']" externallySet="false" geomInfo="//@geom/@geoms[tag='geom1']/@geomnative" lastBuiltFeature="//@geom/@geoms[tag='geom1']/@feature/@features[tag='fin']" lengthUnit="m" materialFrame="//@frame/@frames[tag='material1']" meshFrame="//@frame/@frames[tag='material1']" sdim="2" spatialFrame="//@frame/@frames[tag='spatial1']" xmeshIndex="1" sequenceType="STANDARD">
      <entityFlags>nodeactivate</entityFlags>
      <geomnative tag="geom1.mphbin" numEntities="140,148,28" spaceDim="2"/>
      <feature model="/" sequence="//@geom/@geoms[tag='geom1']">
        <features xsi:type="com.comsol.mph-v7:GeomFeature" tag="Stator" entityName="Composite Object" entityComments="" entityAuthor="" entityCreationTime="1297417785268" operationID="Composite" key="true[deg]filename$FILENAME$_geom1_Stator.mphbin" status="built" buildStatus="built" cacheTagImported="8285293240751556803" cacheTag="1584306080854497658" id="2" sequence="//@geom/@geoms[tag='geom1']">
          <properties tag="filename" value="$FILENAME$_geom1_Stator.mphbin"/>
          <feature xsi:type="com.comsol.mph-v7:GeomFeatureList" model="/" sequence="//@geom/@geoms[tag='geom1']"/>
          <geom model="/">
            <objects xsi:type="com.comsol.mph-v7:GeomObject" tag="Stator(1)" entityName="" entityComments="" entityAuthor="" entityCreationTime="1297417785299" assocID="2,0,368875004,-1932338822">
              <entityFlags>norename</entityFlags>
              <geomnative numEntities="40,48,10" spaceDim="2"/>
            </objects>
          </geom>
          <importedGeom tag="Stator" entityName="" entityComments="" entityAuthor="" entityCreationTime="1297417785283">
            <entityFlags>norename</entityFlags>
            <geomnative numEntities="40,48,10" spaceDim="2"/>
          </importedGeom>
        </features>
        <features xsi:type="com.comsol.mph-v7:GeomFeature" tag="Rotor" entityName="Composite Object 2" entityComments="" entityAuthor="" entityCreationTime="1297417785299" operationID="Composite" key="true[deg]filename$FILENAME$_geom1_Rotor.mphbin" status="built" buildStatus="built" cacheTagImported="3157378545334589034" cacheTag="-8579489873894240803" id="3" sequence="//@geom/@geoms[tag='geom1']">
          <properties tag="filename" value="$FILENAME$_geom1_Rotor.mphbin"/>
          <feature xsi:type="com.comsol.mph-v7:GeomFeatureList" model="/" sequence="//@geom/@geoms[tag='geom1']"/>
          <geom model="/">
            <objects xsi:type="com.comsol.mph-v7:GeomObject" tag="Rotor(1)" entityName="" entityComments="" entityAuthor="" entityCreationTime="1297417785299" assocID="3,0,-1997568150,1886981597">
              <entityFlags>norename</entityFlags>
              <geomnative numEntities="104,104,18" spaceDim="2"/>
            </objects>
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          <param tag="StudyStep" value="1|1,'std1/time1'"/>
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          <param tag="TorqueAxis" value="3|1,'0'|1,'0'|1,'0'"/>
          <param tag="TorqueRotationPoint" value="3|1,'0'|1,'0'|1,'0'"/>
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          </featureInfo>
        </features>
      </feature>
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  </physics>
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    <gconstr model="/" sequence="//@opt" optListType="gconstr"/>
    <bound model="/" sequence="//@opt" optListType="bound"/>
    <constr model="/"/>
  </opt>
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              <entityFlags>norename</entityFlags>
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          </feature>
        </features>
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          <properties tag="probesel" value="all"/>
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          <properties tag="storeudot" value="on"/>
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    <features xsi:type="com.comsol.mph-v7:Coordsys" tag="sys1" entityName="Boundary System 1" entityComments="" entityAuthor="" entityCreationTime="1297417785767" operationID="Boundary" geom="//@geom/@geoms[tag='geom1']">
      <properties tag="identifier" value="sys1"/>
      <properties tag="coord" valueArray="1|3,'t1','n','to'"/>
      <properties tag="frametype" value="spatial"/>
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      <properties tag="boundarySystemHiddenGroup" value="globalCartesian"/>
      <properties tag="tangent" valueArray="1|2,'root.t1X','root.t1Y'"/>
      <properties tag="mastercoordsystcomp" value="3"/>
      <properties tag="mastersystem" value="globalCartesian" referenceContainerList="//@coordsys" compositeIndex="0"/>
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    <features xsi:type="com.comsol.mph-v7:Coordsys" tag="sys2" entityName="Material Boundary System" entityComments="" entityAuthor="" entityCreationTime="1297417789151" operationID="Boundary" geom="//@geom/@geoms[tag='geom1']">
      <properties tag="identifier" value="sys2"/>
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      <properties tag="frametype" value="material"/>
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  <param tag="param" entityName="Parameters" entityComments="" entityAuthor="" entityCreationTime="1297417785377" touched="true">
    <entityFlags>nodeactivate</entityFlags>
    <entityFlags>noremove</entityFlags>
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    <expressions tag="rpm" expression="60[1/min]" description="Revolutions per minute"/>
    <expressions tag="A" expression="pi*(1.5[cm])^2" description="Stator wire cross-section area"/>
    <expressions tag="L" expression="0.4[m]" description="Length of the generator"/>
    <expressions tag="NN" expression="1" description="Number of turns in stator winding"/>
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    <entityFlags>noremove</entityFlags>
    <feature model="/"/>
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  <ode entityName="List" entityComments="" entityAuthor="" entityCreationTime="1297417785377" model="/"/>
  <file model="/"/>
  <savePointData entityName="List" entityComments="" entityAuthor="" entityCreationTime="1297417785268" model="/"/>
</com.comsol.mph-v7:Model>
