up

Magnetodynamics/Lib_MagStaDyn_av_2D_Cir.pro

@@ -13,8 +13,8 @@ DefineConstant[
   CoefPower = 0.5, // coefficient for power calculations
   Freq = 50, // frequency (for harmonic simulations)
   TimeInit = 0, // intial time (for time-domain simulations)
-  TimeFinal = 1, // final time (for time-domain simulations)
-  DeltaTime = 0.01, // time step (for time-domain simulations)
+  TimeFinal = 1/50, // final time (for time-domain simulations)
+  DeltaTime = 1/500, // time step (for time-domain simulations)
   InterpolationOrder = 1 // finite element order
   Val_Rint = 0, // interior radius of annulus shell transformation region (VolInf_Mag)
   Val_Rext = 0 // exterior radius of annulus shell  transformation region (VolInf_Mag)
@@ -363,7 +363,7 @@ Resolution {
         Generate[Sys]; Solve[Sys]; SaveSolution[Sys];
       Else
         InitSolution[Sys]; // provide initial condition
-        TimeLoopTheta[Time0, TimeMax, DeltaTime, 1.]{
+        TimeLoopTheta[TimeInit, TimeFinal, DeltaTime, 1.]{
           // Euler implicit (1) -- Crank-Nicolson (0.5)
           Generate[Sys]; Solve[Sys]; SaveSolution[Sys];
         }

Magnetodynamics/electromagnet.pro

 /* -------------------------------------------------------------------
-   Tutorial 7a : magnetostatic field of an electromagnet, bis
+   Tutorial 7a : magnetic fields of an electromagnet
 
    Features:
-   - Same as Tutorial 2, but using a generic template formulation library
+   - Use of a template formulation library
+   - Identical to Tutorial 2 for a static current source
+   - Frequency-domain solution for a dynamic current source
 
-   To compute the solution in a terminal:
-       getdp electromagnet -solve MagSta_a_2D
-       getdp electromagnet -pos Map_a
+   To compute the static solution in a terminal:
+       getdp electromagnet -solve MagSta_a_2D -pos Map_a
+
+   To compute the time-harmonic dynamic solution in a terminal:
+       getdp electromagnet -solve MagDyn_a_2D -pos Map_a
 
    To compute the solution interactively from the Gmsh GUI:
        File > Open > electromagnet.pro
@@ -25,10 +29,11 @@ Group {
 
   // Abstract regions used in the "Lib_MagStaDyn_av_2D_Cir.pro" template file
   // that is included below:
-  VolCC_Mag = Region[{Air, Core, AirInf}]; // Non-conducting regions
+  VolCC_Mag = Region[{Air, AirInf}]; // Non-conducting regions
+  VolC_Mag = Region[{Core}]; // Massive conducting regions
   VolS_Mag = Region[{Ind}]; // Stranded conductors, i.e., coils
-  VolInf_Mag = Region[{AirInf}]; // annulus for infinite shell transformation
-  Val_Rint = rInt; Val_Rext = rExt; // interior and exterior radii of annulus
+  VolInf_Mag = Region[{AirInf}]; // Annulus for infinite shell transformation
+  Val_Rint = rInt; Val_Rext = rExt; // Interior and exterior radii of annulus
 }
 
 Function {
@@ -41,11 +46,15 @@ Function {
   nu[ Region[{Air, Ind, AirInf}] ]  = 1. / mu0;
   nu[ Core ]  = 1. / (murCore * mu0);
 
+  sigma[ Core ] = 1e6 / 10;
+  sigma[ Ind ] = 5e7;
+
   Ns[ Ind ] = 1000 ; // number of turns in coil
   Sc[ Ind ] = SurfaceArea[] ; // surface (cross section) of coil
   // Current density in each coil portion for a unit current (will be multiplied
   // by the actual total current in the coil)
   js0[ Ind ] = Ns[]/Sc[] * Vector[0,0,-1];
+  CoefGeos[] = 1;
 }
 
 Constraint {
@@ -57,11 +66,13 @@ Constraint {
   }
   { Name Current_2D;
     Case {
+      // represents the phasor amplitude for a dynamic analysis
       { Region Ind; Value Current; }
     }
   }
   { Name Voltage_2D;
     Case {
+      { Region Core; Value 0; }
     }
   }
 }
@@ -69,9 +80,10 @@ Constraint {
 Include "Lib_MagStaDyn_av_2D_Cir.pro";
 
 PostOperation {
-  { Name Map_a; NameOfPostProcessing MagSta_a_2D;
+  { Name Map_a; NameOfPostProcessing MagDyn_a_2D;
     Operation {
       Print[ a, OnElementsOf Vol_Mag, File "a.pos" ];
+      Print[ b, OnElementsOf Vol_Mag, File "b.pos" ];
     }
   }
 }

Magnetodynamics/transfo.pro

@@ -2,13 +2,12 @@
    Tutorial 7b : magnetodyamic model of a single-phase transformer
 
    Features:
-   - Time-domain and frequency-domain dynamical problems
    - Use of a generic template formulation library
-   - Circuit coupling used as a black-box (see Tutorial 8 for more)
+   - Frequency- and time-domain dynamic solutions
+   - Circuit coupling used as a black-box (see Tutorial 8 for details)
 
    To compute the solution in a terminal:
-       getdp transfo -solve MagDyn_a_2D
-       getdp electromagnet -pos Map
+       getdp transfo -solve MagDyn_a_2D -pos Map_a
 
    To compute the solution interactively from the Gmsh GUI:
        File > Open > transfo.pro
@@ -204,7 +203,7 @@ Constraint {
     Case {
      If (type_Source == 1)
       // Current in each coil (same for PLUS and MINUS portions)
-      { Region Coil_1; Value 1; }
+       { Region Coil_1; Value 1; TimeFunction F_Sin_wt_p[]{2*Pi*Freq, 0};  }
       { Region Coil_2; Value 0; }
      EndIf
     }