diff --git a/Conductors3D/w3d.geo b/Conductors3D/w3d.geo
index d103979ff78346c5d89fb5c552ecd49531e9ce0a..58a8812340665ad09d1b5a6d447561ff828022ef 100644
--- a/Conductors3D/w3d.geo
+++ b/Conductors3D/w3d.geo
@@ -6,19 +6,19 @@ Mesh.VolumeEdges = 0; // hide volume edges
Geometry.ExactExtrusion = 0; // to allow rotation of extruded shapes
Solver.AutoMesh = 2; // always remesh if necessary (don't reuse mesh on disk)
-lc1 = (Flag_Thin) ? MeshSizeThinWire*mm : MeshSizeThinWire*mm ;
+lc1 = (Flag_Thin) ? MeshSizeThinWire*mm : MeshSizeWire*mm ;
lc2 = box/10; // mesh size at outer surface
llWires[] = {};
centerWires[] = {};
surfWires[] = {};
-If( !Flag_Thin || (Flag_Thin && Flag_Corr==2))
+If( !Flag_Thin || (Flag_Thin && Flag_RegSleeve))
// then circles are in the geometry
// their radius is R=rw if Flag_Thin != 0
// or R=rs in the "regular sleeve case" (Flag_Corr == 2)
- R = ( !Flag_Thin ) ? rw : rs;
+ R = ( Flag_Thin ) ? rs : rw;
For i In {1:NumWires}
pC = newp; Point(pC) = {WX~{i} , WY~{i} , 0, lc1};
@@ -96,7 +96,7 @@ If( !Flag_Thin ) // Wires with finite radius
e[] = Extrude {0,0,Lz} { Surface{ s1 } ; /*Layers{1}; Recombine;*/ } ;
Physical Volume ("AIR", 1) = { e[1] };
-ElseIf( Flag_Corr == 2 ) // regular sleeve
+ElseIf( Flag_RegSleeve ) // regular sleeve
Wires[]= {};
For i In {1:NumWires}
@@ -122,19 +122,18 @@ Else
e[] = Extrude {0,0,Lz} { Surface{ s1 } ; /*Layers{1}; Recombine;*/ } ;
s2 = e[0];
v1 = e[1];
+ Physical Volume ("AIR", 1) = { v1 };
For i In {1:NumWires}
e[] = Extrude {0,0,Lz} { Point{ centerWires[i-1] } ; /*Layers{1};*/ } ;
//Printf("e=", e[]);
Physical Line (Sprintf("LWIRE_%g",i), 50+i) = { e[1] };
Physical Point (Sprintf("PANODE_%g",i), 60+i) = { centerWires[i-1] };
Physical Point (Sprintf("PCATHODE_%g",i), 70+i) = { e[0] };
- Physical Volume ("AIR", 1) = { v1 };
// embed line conductors in mesh
Point { centerWires[i-1] } In Surface { s1 };
Point { e[0] } In Surface { s2 };
Curve { e[1] } In Volume { v1 };
EndFor
-
EndIf
Physical Surface("INF", 2) = { CombinedBoundary{ Volume{ : }; } };
diff --git a/Conductors3D/w3d.pro b/Conductors3D/w3d.pro
index 14417682c54d50d999024d9eb37660626b2eb4e7..c4c5a47ad3d66002d0f32c666ccc54c4c8007aef 100644
--- a/Conductors3D/w3d.pro
+++ b/Conductors3D/w3d.pro
@@ -22,7 +22,7 @@ DefineConstant[
DefineConstant[
R_ = {"Dynamic", Name "GetDP/1ResolutionChoices", Visible 0},
- C_ = {"-sol -pos", Name "GetDP/9ComputeCommand", Visible 0},
+ C_ = {"-solve -v2", Name "GetDP/9ComputeCommand", Visible 0},
P_ = {"", Name "GetDP/2PostOperationChoices", Visible 0}
ResDir = "Res/"
];
@@ -63,43 +63,33 @@ Group{
// Abstract regions
- // Cette formulation peut contenir des conducteurs volumiques Vol_C
- // et lin�iques lVol_C.
If( !Flag_Thin )
Vol_C = Region[ VWIRES ];
Vol_CC = Region[ AIR ];
- //lVol_C = Region[ {} ];
Else
Vol_C = Region[ {LWIRES} ];
Vol_CC = Region[ {VWIRES, AIR} ];
- //lVol_C = Region[ LWIRES ];
EndIf
Vol_nu = Region[ {Vol_C, Vol_CC} ];
Sur_Dirichlet_a = Region[ INF ];
Electrodes = Region[ {ANODES, CATHODES} ];
- Vol_Tree = Region[ { Vol_nu } ];
- Sur_Tree = Region[ { Sur_Dirichlet_a /*, SKIN*/ } ];
- // If( Flag_Corr!= 0 )
- // Lin_Tree = Region[ { LWIRES /*, LINTREE*/ } ];
- // Else
- Lin_Tree = Region[ {} ];
-
-
Dom_Hcurl_a = Region[ Vol_nu ];
Dom_Hgrad_u = Region[ Vol_C ];
- //Dom_Hregion_i = Region[ Vol_nu ];
-
- // additional Groups for the local correction method
- //Dom_Hthin_a = ElementsOf[ Vol_nu, OnOneSideOf LWIRES ];
-
- Dom_Hthin_a = Region[ Vol_nu ];
-
- // For integration on the volume elements (excluding line elements)
- // of the sleeve
- Vol_Sleeve = ElementsOf[ {Vol_CC}, OnOneSideOf LWIRES ];
+ Dom_Hregion_i = Region[ Vol_C ];
+
+ // additional Groups for the semi_analytic approach
+ Dom_Hthin_a = ElementsOf[ Vol_nu, OnOneSideOf LWIRES ];
+ //Vol_Tree = ElementsOf[ Vol_nu, Not Dom_Hthin_a ];
+ Vol_Tree = Region[ { Vol_nu } ];
+ Sur_Tree = Region[ { Sur_Dirichlet_a /*, SKIN*/ } ];
+ If( !Flag_SemiAnalytic )
+ Lin_Tree = Region[ {} ];
+ Else
+ Lin_Tree = Region[ { LWIRES } ];
+ EndIf
}
@@ -109,13 +99,13 @@ Function{
mur = 1.;
sigma = 5.96e7;
- i[] = Complex[0,1];
-
mu[] = mu0;
nu[] = 1/mu[];
sigma[] = sigma;
skin_depth = Sqrt[ 2/(omega*sigma*mu0*mur) ];
-
+
+ // Functions for the semi-analytic approach
+ i[] = Complex[0,1];
tau[] = Complex[-1,1]/skin_depth*rw;
J0[] = JnComplex[0,$1];
J1[] = JnComplex[1,$1];
@@ -131,7 +121,7 @@ Function{
EndFor
// shape function of the current, wI[r]
- wI[] = tau[] * J0[tau[]*$1/rw] / J1[tau[]] /(2*A_c);
+ wI[] = tau[] * J0[tau[]*$1/rw]/J1[tau[]]/(2*A_c);
//radial analytical solutions with a zero flux condition imposed at $1(=r)=rs
Analytic_A[] = // per Amp
@@ -140,8 +130,8 @@ Function{
AnalyticStatic_A[] = mu0/(2*Pi) * // per Amp
(($1>rw) ? Log[rs/$1] : Log[rs/rw] + mur*(1-($1/rw)^2)/2 );
Analytic_B[] = // per Amp
- (($1>rw) ? mu0/(2*Pi*$1) :
- mu0*mur/(2*Pi) * J1[tau[]*$1/rw] / J1[tau[]] );
+ (($1>=rw) ? mu0/(2*Pi*$1) :
+ mu0*mur/(2*Pi*rw) * J1[tau[]*$1/rw] / J1[tau[]] );
// Impedance of thin wire p.u. length
R_DC = 1./(sigma*A_c);
@@ -155,11 +145,11 @@ Function{
If ( NumWires == 2 )
Exact_B[] = Analytic_B[R_1[]] + Analytic_B[R_2[]] ;
Correction_B[] = ((R_1[]<rs) ? Analytic_B[R_1[]] :
- ((R_2[]<rs) ? Analytic_B[R_2[]] : 0 ));
+ ((R_2[]<rs) ? Analytic_B[R_2[]] : 0 ));
EndIf
If ( NumWires == 3 )
Exact_B[] = Analytic_B[R_1[]] + Analytic_B[R_2[]] + Analytic_B[R_3[]] ;
- Correction_A[] = ((R_1[]<rs) ? Analytic_B[R_1[]] :
+ Correction_B[] = ((R_1[]<rs) ? Analytic_B[R_1[]] :
((R_2[]<rs) ? Analytic_B[R_2[]] :
((R_3[]<rs) ? Analytic_B[R_3[]] : 0 )));
EndIf
@@ -180,14 +170,14 @@ Integration {
Case {
{ Type Gauss ;
Case {
- { GeoElement Point ; NumberOfPoints 1 ; }
- { GeoElement Line ; NumberOfPoints 3 ; }
- { GeoElement Triangle ; NumberOfPoints 3 ; }
- { GeoElement Quadrangle ; NumberOfPoints 4 ; }
- { GeoElement Prism ; NumberOfPoints 21 ; }
- { GeoElement Tetrahedron ; NumberOfPoints 4 ; }
- { GeoElement Hexahedron ; NumberOfPoints 6 ; }
- { GeoElement Pyramid ; NumberOfPoints 8 ; }
+ { GeoElement Point ; NumberOfPoints 1 ; }
+ { GeoElement Line ; NumberOfPoints 3 ; }
+ { GeoElement Triangle ; NumberOfPoints 3 ; }
+ { GeoElement Quadrangle ; NumberOfPoints 4 ; }
+ { GeoElement Prism ; NumberOfPoints 21 ; }
+ { GeoElement Tetrahedron ; NumberOfPoints 4 ; }
+ { GeoElement Hexahedron ; NumberOfPoints 6 ; }
+ { GeoElement Pyramid ; NumberOfPoints 8 ; }
}
}
}
@@ -197,19 +187,19 @@ Integration {
Constraint{
{ Name Impose_U ;
Case {
- For i In {1:NumWires}
- If( Flag_Form == 1) // massive
+ For i In {1:NumWires}
+ If( !Flag_Stranded ) // massive
{ Region ANODE~{i} ; Value 0 ; }
EndIf
- If( Flag_U )
-
- If( Flag_Form == 1) // massive
+
+ If( Flag_U )
+ If( !Flag_Stranded ) // massive
{ Region CATHODE~{i} ; Value -R_DC*Lz*WI~{i} ; }
Else // stranded
{ Region VWIRE~{i} ; Value -R_DC*Lz*WI~{i} ; }
EndIf
-
EndIf
+
EndFor
}
}
@@ -217,30 +207,48 @@ Constraint{
Case {
For i In {1:NumWires}
If( !Flag_U )
-
- If( Flag_Form == 1) // massive
+ If( !Flag_Stranded ) // massive
{ Region ANODE~{i} ; Value WI~{i} ; }
{ Region CATHODE~{i} ; Value WI~{i} ; }
Else // stranded
{ Region VWIRE~{i} ; Value WI~{i} ; }
{ Region LWIRE~{i} ; Value WI~{i} ; }
- EndIf
-
+ EndIf
EndIf
EndFor
}
}
- { Name Hcurl_a_3D_ac; Type Assign;
+ { Name Hcurl_a_3D; Type Assign;
Case {
{ Region Region[ Sur_Dirichlet_a ]; Value 0.; }
}
}
-
+
{ Name GaugeCondition_a; Type Assign;
Case {
{ Region Vol_Tree; SubRegion Region[ { Sur_Tree, Lin_Tree } ];
- Value 0.; }
+ Value 0; }
+ }
+ }
+
+ // Semi-analytic approach
+ { Name Impose_corr ;
+ Case {
+ For i In {1:NumWires}
+ { Region LWIRE~{i} ; Value 1. ; }
+ EndFor
+ }
+ }
+
+ { Name Hcurl_acorr_3D; Type Assign;
+ Case {
+ { Region Region[ Sur_Dirichlet_a ]; Value 0.; }
+ If( Flag_Thin )
+ For i In {1:NumWires}
+ { Region Region[ LWIRE~{i} ]; Value 1 ; }
+ EndFor
+ EndIf
}
}
}
@@ -256,7 +264,7 @@ FunctionSpace {
}
Constraint {
{ NameOfCoef ac;
- EntityType Auto; NameOfConstraint Hcurl_a_3D_ac; }
+ EntityType Auto; NameOfConstraint Hcurl_a_3D; }
{ NameOfCoef ac; EntityType EdgesOfTreeIn ; EntitySubType StartingOn ;
NameOfConstraint GaugeCondition_a ; }
}
@@ -280,10 +288,11 @@ FunctionSpace {
}
}
+ // Electric current per regionl for stranded conductors
{ Name Hregion_i_3D; Type Vector;
BasisFunction {
{ Name sr; NameOfCoef ir; Function BF_RegionZ;
- Support Dom_Hthin_a; Entity Vol_C; }
+ Support Dom_Hregion_i; Entity Vol_C; }
}
GlobalQuantity {
{ Name Is; Type AliasOf ; NameOfCoef ir; }
@@ -295,52 +304,93 @@ FunctionSpace {
}
}
- // For the local correction method
- { Name Hcurl_acorr_3D; Type Form1;
+ // Function spaces for the semi-analytical approach
+
+ // { Name Hcurl_acorr_3D; Type Form1;
+ // BasisFunction {
+ // { Name sw; NameOfCoef aw; Function BF_Edge;
+ // Support Dom_Hthin_a; Entity EdgesOf[ Vol_nu, ConnectedTo LWIRES ]; }
+ // }
+ // Constraint {
+ // { NameOfCoef aw;
+ // EntityType Auto; NameOfConstraint Hcurl_a_3D; }
+ // { NameOfCoef aw; EntityType EdgesOfTreeIn ; EntitySubType StartingOn ;
+ // NameOfConstraint GaugeCondition_a ; }
+ // }
+ // }
+
+ { Name Hcurl_athin_3D; Type Form1;
BasisFunction {
- { Name sw; NameOfCoef aw; Function BF_Edge;
- Support Vol_nu; Entity EdgesOf[ Vol_nu, ConnectedTo LWIRES ]; }
+ { Name si; NameOfCoef ai; Function BF_GroupOfEdges;
+ Support Dom_Hcurl_a; Entity GroupsOfEdgesOf[ LWIRES ]; }
+ { Name sj; NameOfCoef aj; Function BF_Edge;
+ Support Dom_Hcurl_a; Entity EdgesOf[ Vol_nu, Not LWIRES ]; }
+ }
+ GlobalQuantity {
+ { Name F; Type AliasOf ; NameOfCoef ai; }
+ { Name I; Type AssociatedWith; NameOfCoef ai; }
}
Constraint {
- // { NameOfCoef aw; EntityType EdgesOfTreeIn ; EntitySubType StartingOn ;
- // NameOfConstraint GaugeCondition_a ; }
+ { NameOfCoef I; EntityType Region; NameOfConstraint Impose_corr; }
+ { NameOfCoef aj; EntityType Auto; NameOfConstraint Hcurl_a_3D; }
+ { NameOfCoef aj; EntityType EdgesOfTreeIn ; EntitySubType StartingOn ;
+ NameOfConstraint GaugeCondition_a ; }
+ }
+ }
+ { Name Hcurl_asleeve_3D; Type Form1;
+ BasisFunction {
+ { Name si; NameOfCoef ai; Function BF_GroupOfEdges;
+ Support Dom_Hthin_a; Entity GroupsOfEdgesOf[ LWIRES ]; }
+ { Name sj; NameOfCoef aj; Function BF_Edge;
+ Support Dom_Hthin_a; Entity EdgesOf[ Vol_nu, ConnectedTo LWIRES ]; }
+ }
+ GlobalQuantity {
+ { Name F; Type AliasOf ; NameOfCoef ai; }
+ { Name I; Type AssociatedWith; NameOfCoef ai; }
+ }
+ Constraint {
+ { NameOfCoef I; EntityType Region; NameOfConstraint Impose_corr; }
+ { NameOfCoef aj; EntityType Auto; NameOfConstraint Hcurl_a_3D; }
}
}
}
Formulation {
{ Name MagnetoDynamics; Type FemEquation;
+
+ If( !Flag_SemiAnalytic )
+ // Conventional massive and stranded conductor formulation
+ // If Flag_Thin is true, naive thine wire formulations
+
+ If( !Flag_Stranded ) // Massive conductor
+ Quantity {
+ { Name a; Type Local; NameOfSpace Hcurl_a_3D; }
- If( Flag_Form == 1) // Massive conductor
- Quantity {
- { Name a; Type Local; NameOfSpace Hcurl_a_3D; }
-
- { Name v; Type Local; NameOfSpace Hgrad_u_3D; }
- { Name U; Type Global; NameOfSpace Hgrad_u_3D [U]; }
- { Name I; Type Global; NameOfSpace Hgrad_u_3D [I]; }
- }
+ { Name v; Type Local; NameOfSpace Hgrad_u_3D; }
+ { Name U; Type Global; NameOfSpace Hgrad_u_3D [U]; }
+ { Name I; Type Global; NameOfSpace Hgrad_u_3D [I]; }
+ }
- Equation {
- Integral { [ nu[] * Dof{d a} , {d a} ];
- In Vol_nu; Jacobian Vol; Integration I1; }
+ Equation {
+ Integral { [ nu[] * Dof{d a} , {d a} ];
+ In Vol_nu; Jacobian Vol; Integration I1; }
- Integral { DtDof[ sigma[] * Dof{a} , {a} ];
- In Vol_C; Jacobian Vol; Integration I1; }
- Integral { [ sigma[] * Dof{d v} , {a} ];
- In Vol_C; Jacobian Vol; Integration I1; }
- Integral { DtDof[ sigma[] * Dof{a} , {d v} ];
- In Vol_C; Jacobian Vol; Integration I1; }
- Integral { [ sigma[] * Dof{d v} , {d v} ];
- In Vol_C; Jacobian Vol; Integration I1; }
+ Integral { DtDof[ sigma[] * Dof{a} , {a} ];
+ In Vol_C; Jacobian Vol; Integration I1; }
+ Integral { [ sigma[] * Dof{d v} , {a} ];
+ In Vol_C; Jacobian Vol; Integration I1; }
+ Integral { DtDof[ sigma[] * Dof{a} , {d v} ];
+ In Vol_C; Jacobian Vol; Integration I1; }
+ Integral { [ sigma[] * Dof{d v} , {d v} ];
+ In Vol_C; Jacobian Vol; Integration I1; }
- GlobalTerm { [Dof{I} , {U} ]; In CATHODES; }
- }
+ GlobalTerm { [Dof{I} , {U} ]; In CATHODES; }
+ }
- Else // stranded conductor
- If( Flag_Corr==0 ) // naive thin wire model
+ Else // stranded conductor
Quantity {
{ Name a; Type Local; NameOfSpace Hcurl_a_3D; }
-
+
{ Name i; Type Local; NameOfSpace Hregion_i_3D; }
{ Name Is; Type Global; NameOfSpace Hregion_i_3D [Is]; }
{ Name Us; Type Global; NameOfSpace Hregion_i_3D [Us]; }
@@ -351,7 +401,7 @@ Formulation {
In Vol_nu; Jacobian Vol; Integration I1; }
Integral { [ -Dof{i}/A_c , {a} ];
In Vol_C; Jacobian Vol; Integration I1; }
-
+
// Integral { [ -J[] , {a} ];
// In Vol_C; Jacobian Vol; Integration I1; }
@@ -361,44 +411,53 @@ Formulation {
In Vol_C; Jacobian Vol; Integration I1;}
Integral { [ Dof{i}/(sigma[]*A_c) , {i} ];
In Vol_C; Jacobian Vol; Integration I1;}
- GlobalTerm { [ Dof{Us}*A_c , {Is} ]; In Vol_C; }
- }
- Else // use local correction method
- Quantity {
- { Name a; Type Local; NameOfSpace Hcurl_a_3D; }
- { Name as; Type Local; NameOfSpace Hcurl_acorr_3D; }
-
- { Name i; Type Local; NameOfSpace Hregion_i_3D; }
- { Name Is; Type Global; NameOfSpace Hregion_i_3D [Is]; }
- { Name Us; Type Global; NameOfSpace Hregion_i_3D [Us]; }
+ GlobalTerm { [ Dof{Us}*A_c , {Is} ]; In Vol_C; }
}
+ EndIf
+
+ EndIf
- Equation {
- /*
- Integral { [ nu[] * Dof{d a} , {d a} ];
- In Vol_nu; Jacobian Vol; Integration I1; }
- Integral { [ -Dof{i}/A_c , {a} ];
- In Vol_C; Jacobian Vol; Integration I1; }
- */
- Integral { [ nu[] * Dof{d as} , {d as} ];
- In Vol_nu; Jacobian Vol; Integration I1; }
- Integral { [ -Dof{i}/A_c , {as} ];
- In Vol_C; Jacobian Vol; Integration I1; }
+ If( Flag_SemiAnalytic )
+ // Semi-analytic correction methods
+
+ Quantity {
+ { Name a; Type Local; NameOfSpace Hcurl_athin_3D; }
+ { Name F; Type Global; NameOfSpace Hcurl_athin_3D [F]; }
+ { Name I; Type Global; NameOfSpace Hcurl_athin_3D [I]; }
- /*
- GlobalTerm { [ Analytic_R[] * Dof{Is} , {Is} ];
- In Vol_C;}
- Integral { DtDof [ Dof{a}/A_c , {i} ];
- In Vol_C; Jacobian Vol; Integration I1; }
- Integral { DtDof [ -Dof{as}/A_c , {i} ];
- In Vol_C; Jacobian Vol; Integration I1;}
- GlobalTerm { DtDof [ Analytic_L[] * Dof{Is} , {Is} ];
- In Vol_C;}
- GlobalTerm { [ Dof{Us} , {Is} ];
- In Vol_C; }
- */
- }
- EndIf
+ { Name as; Type Local; NameOfSpace Hcurl_asleeve_3D; }
+ { Name Fs; Type Global; NameOfSpace Hcurl_asleeve_3D [F]; }
+ { Name Is; Type Global; NameOfSpace Hcurl_asleeve_3D [I]; }
+ }
+
+ Equation {
+
+ Integral { [ nu[] * Dof{d a} , {d a} ];
+ In Vol_nu; Jacobian Vol; Integration I1; }
+ GlobalTerm { [ -Dof{I}*1e1 , {F} ];
+ In Vol_nu; }
+
+ Integral { [ nu[] * Dof{d as} , {d as} ];
+ In Vol_nu; Jacobian Vol; Integration I1; }
+ GlobalTerm { [ -Dof{Is}*1e1 , {Fs} ];
+ In Vol_nu; }
+
+ // Integral { [ -Dof{i}/A_c , {as} ];
+ // In Vol_C; Jacobian Vol; Integration I1; }
+
+ /*
+ GlobalTerm { [ Analytic_R[] * Dof{Is} , {Is} ];
+ In Vol_C;}
+ Integral { DtDof [ Dof{a}/A_c , {i} ];
+ In Vol_C; Jacobian Vol; Integration I1; }
+ Integral { DtDof [ -Dof{as}/A_c , {i} ];
+ In Vol_C; Jacobian Vol; Integration I1;}
+ GlobalTerm { DtDof [ Analytic_L[] * Dof{Is} , {Is} ];
+ In Vol_C;}
+ GlobalTerm { [ Dof{Us} , {Is} ];
+ In Vol_C; }
+ */
+ }
EndIf
}
}
@@ -443,41 +502,65 @@ PostProcessing {
{ Name b;
Value { Local { [ {d a}]; In Dom_Hcurl_a; Jacobian Vol; }}}
{ Name by;
- Value { Local { [ Re[Cart2Pol[CompY [ {d a}]]]];
+ Value { Local { [ Cart2Pol[ Norm[ {d a}]] ];
In Dom_Hcurl_a; Jacobian Vol; }}}
-
- If( Flag_Form == 1 ) // massive
- { Name J;
- Value { Local { [ -sigma[] * ( Dt[{a}] + {d v} ) ];
- In Vol_C; Jacobian Vol; }}}
- { Name U;
- Value { Term { [ {U} ]; In Electrodes; }}}
+
+ If( Flag_SemiAnalytic )
+ { Name bs;
+ Value { Local { [ {d as} ]; In Vol_nu; Jacobian Vol; }}}
+ { Name bsy;
+ Value { Local { [ Norm[ {d as} ] ]; In Vol_nu; Jacobian Vol; }}}
+ { Name bbsy;
+ Value { Local { [ Norm[ {d a} - {d as} ] ]; In Vol_nu; Jacobian Vol; }}}
+ { Name bcorry;
+ Value { Local { [ Norm[ {d a} - {d as} ] + Correction_B[] ];
+ In Vol_nu; Jacobian Vol; }}}
+ EndIf
+
+
+
+ If( !Flag_SemiAnalytic )
+ If( !Flag_Stranded ) // massive
+ { Name J;
+ Value { Local { [ -sigma[] * ( Dt[{a}] + {d v} ) ];
+ In Vol_C; Jacobian Vol; }}}
+ { Name U;
+ Value { Term { [ {U} ]; In Electrodes; }}}
+ { Name I;
+ Value { Term { [ {I} ]; In Electrodes; }}}
+ { Name R;
+ Value { Term { [ Re[ -{U}/{I}/Lz ] ]; In Electrodes; }}}
+ { Name L; // actually total flux/I
+ Value { Term { [ Im[ -{U}/{I}/omega/Lz ] ]; In Electrodes; }}}
+ Else // stranded
+ { Name J;
+ Value { Local { [ {Is}/A_c ];
+ In Vol_C; Jacobian Vol; }}}
+ { Name U;
+ Value { Term { [ {Us} ]; In Vol_C; }}}
+ { Name I;
+ Value { Term { [ {Is} ]; In Vol_C; }}}
+ { Name R;
+ Value { Term { [ Re[ -{Us}/{Is}/Lz ] ]; In Vol_C; }}}
+ { Name L; // actually total flux/I
+ Value { Term { [ Im[ -{Us}/{Is}/omega/Lz ] ]; In Vol_C; }}}
+ EndIf
+ EndIf
+
+ If( Flag_SemiAnalytic )
+ { Name F;
+ Value { Term { [ {F} ]; In Vol_C; }}}
{ Name I;
- Value { Term { [ {I} ]; In Electrodes; }}}
- { Name R;
- Value { Term { [ Re[ -{U}/{I}/Lz ] ]; In Electrodes; }}}
- { Name L; // actually total flux/I
- Value { Term { [ Im[ -{U}/{I}/omega/Lz ] ]; In Electrodes; }}}
- Else // stranded
+ Value { Term { [ {I} ]; In Vol_C; }}}
{ Name J;
- Value { Local { [ {i}/A_c ];
+ Value { Local { [ {I}/A_c ];
In Vol_C; Jacobian Vol; }}}
{ Name U;
- Value { Term { [ {Us} ]; In Vol_C; }}}
- { Name I;
- Value { Term { [ {Is} ]; In Vol_C; }}}
+ Value { Term { [ i[]*omega*{F}*10 + Analytic_R[]*{I} ]; In Vol_C; }}}
{ Name R;
- Value { Term { [ Re[ -{Us}/{Is}/Lz ] ]; In Vol_C; }}}
+ Value { Term { [ Analytic_R[] + {I}*0 ]; In Vol_C; }}}
{ Name L; // actually total flux/I
- Value { Term { [ Im[ -{Us}/{Is}/omega/Lz ] ]; In Vol_C; }}}
- EndIf
-
- If( (Flag_Form == 2) && Flag_Corr )
- { Name bs;
- Value { Local { [ {d as}]; In Dom_Hthin_a; Jacobian Vol; }}}
- { Name bcorry;
- Value { Local { [ Re[Cart2Pol[CompY [{d a}-{d as}]]] + Correction_B[] ];
- In Dom_Hthin_a; Jacobian Vol; }}}
+ Value { Term { [ {F}/{I}/Lz ]; In Vol_C; }}}
EndIf
}
@@ -485,28 +568,48 @@ PostProcessing {
}
PostOperation map UsingPost MagnetoDynamics {
- Print[ J, OnElementsOf Vol_C, File "j.pos"];
+
Print[ b, OnElementsOf Vol_nu, File "b.pos"];
- If( (Flag_Form == 2) && Flag_Corr )
+
+ If( !Flag_SemiAnalytic )
+ Print[ J, OnElementsOf Vol_C, File "j.pos"];
+ Else
Print[ bs, OnElementsOf Vol_nu, File "bs.pos"];
PrintGroup[ EdgesOf[ Vol_nu, ConnectedTo LWIRES ],
In Vol_nu, File "group.pos"];
EndIf
+ PrintGroup[ EdgesOfTreeIn[ { Vol_Tree }, StartingOn { Sur_Tree, Lin_Tree } ],
+ In Vol_Tree, File "Tree.pos"];
+ //PrintGroup[ _CO_Entity_44, In Vol_nu, File "Tree.pos"];
+
}
PostOperation integaz UsingPost MagnetoDynamics {
For i In {1:NumWires}
- If( Flag_Form == 1 ) // massive
-
- Print[ U, OnRegion CATHODES, File > "U.dat", Format Table,
- SendToServer Sprintf["Results/1Voltage/Wire %g",i]];
- Print[ I, OnRegion CATHODES, File > "I.dat", Format Table,
- SendToServer Sprintf["Results/2Current/Wire %g",i]];
- Print[ R, OnRegion CATHODES, File > "Z.dat", Format Table,
- SendToServer Sprintf["Results/3Resistance p.u.l./Wire %g",i]];
- Print[ L, OnRegion CATHODES, File > "Z.dat", Format Table,
- SendToServer Sprintf["Results/4Inductance p.u.l./Wire %g",i]];
- Else
+ If( !Flag_SemiAnalytic )
+ If( !Flag_Stranded ) // massive
+ Print[ U, OnRegion CATHODES, File > "U.dat", Format Table,
+ SendToServer Sprintf["Results/1Voltage/Wire %g",i]];
+ Print[ I, OnRegion CATHODES, File > "I.dat", Format Table,
+ SendToServer Sprintf["Results/2Current/Wire %g",i]];
+ Print[ R, OnRegion CATHODES, File > "Z.dat", Format Table,
+ SendToServer Sprintf["Results/3Resistance p.u.l./Wire %g",i]];
+ Print[ L, OnRegion CATHODES, File > "Z.dat", Format Table,
+ SendToServer Sprintf["Results/4Inductance p.u.l./Wire %g",i]];
+ Else
+ Print[ U, OnRegion Vol_C, File > "U.dat", Format Table,
+ SendToServer Sprintf["Results/1Voltage/Wire %g",i]];
+ Print[ I, OnRegion Vol_C, File > "I.dat", Format Table,
+ SendToServer Sprintf["Results/2Current/Wire %g",i]];
+ Print[ R, OnRegion Vol_C, File > "Z.dat", Format Table,
+ SendToServer Sprintf["Results/3Resistance p.u.l./Wire %g",i]];
+ Print[ L, OnRegion Vol_C, File > "Z.dat", Format Table,
+ SendToServer Sprintf["Results/4Inductance p.u.l./Wire %g",i]];
+ EndIf
+ EndIf
+ If( Flag_SemiAnalytic )
+ Print[ F, OnRegion Vol_C, File > "Flux.dat", Format Table,
+ SendToServer Sprintf["Results/0Flux/Wire %g",i]];
Print[ U, OnRegion Vol_C, File > "U.dat", Format Table,
SendToServer Sprintf["Results/1Voltage/Wire %g",i]];
Print[ I, OnRegion Vol_C, File > "I.dat", Format Table,
@@ -519,27 +622,66 @@ PostOperation integaz UsingPost MagnetoDynamics {
EndFor
}
-NbPoints = 400;
-Xmax = 0.15*box;
+NbPoints = 1000;
+Xcut = 0.1*box;
+Zcut = Lz/2;
PostOperation cut UsingPost MagnetoDynamics {
- Print [ by, OnLine { {-Xmax,0,0} {Xmax,0,0} }{NbPoints},
- Format Gmsh, File "by.pos" ];
+ Print [ by, OnLine { {-Xcut,0,0} {Xcut,0,Zcut} }{NbPoints},
+ Format Gmsh, File "by.pos" ];
+ Echo[ StrCat["l=PostProcessing.NbViews-1;",
+ "View[l].Name = 'cut by';",
+ "View[l].Axes = 3;",
+ "View[l].LineWidth = 3;",
+ "View[l].Type = 2;"],
+ File "tmp.geo", LastTimeStepOnly];
+
+ If( Flag_SemiAnalytic )
+ Print [ bsy, OnLine { {-Xcut,0,0} {Xcut,0,Zcut} }{NbPoints},
+ Format Gmsh, File "bcorry.pos" ];
Echo[ StrCat["l=PostProcessing.NbViews-1;",
- "View[l].Name = 'cut by';",
- "View[l].Axes = 3;",
- "View[l].LineWidth = 3;",
- "View[l].Type = 2;"],
- File "tmp.geo", LastTimeStepOnly];
- If( (Flag_Form == 2) && Flag_Corr )
- Print [ bcorry, OnLine { {-Xmax,0,0} {Xmax,0,0} }{NbPoints},
- Format Gmsh, File "by.pos" ];
+ "View[l].Name = 'cut bsy ';",
+ "View[l].Axes = 3;",
+ "View[l].LineWidth = 3;",
+ "View[l].Type = 2;"],
+ File "tmp.geo", LastTimeStepOnly];
+
+ Print [ bbsy, OnLine { {-Xcut,0,0} {Xcut,0,Zcut} }{NbPoints},
+ Format Gmsh, File "bcorry.pos" ];
Echo[ StrCat["l=PostProcessing.NbViews-1;",
- "View[l].Name = 'cut by';",
+ "View[l].Name = 'cut by-bsy ';",
"View[l].Axes = 3;",
"View[l].LineWidth = 3;",
"View[l].Type = 2;"],
File "tmp.geo", LastTimeStepOnly];
+
+ Print [ bcorry, OnLine { {-Xcut,0,0} {Xcut,0,Zcut} }{NbPoints},
+ Format Gmsh, File "bcorry.pos" ];
+ Echo[ StrCat["l=PostProcessing.NbViews-1;",
+ "View[l].Name = 'cut by corrected';",
+ "View[l].Axes = 3;",
+ "View[l].LineWidth = 3;",
+ "View[l].Type = 2;"],
+ File "tmp.geo", LastTimeStepOnly];
+ EndIf
+
+ // cuts in txt format for Gnuplot
+ // Print [ exact, OnLine { {0,0,0} {Xcut,0,0} } {NbPoints},
+ // Format SimpleTable, File "Cut_analytic.txt" ];
+
+
+ If( !Flag_SemiAnalytic )
+ Print [ by, OnLine { {0,0,0} {Xcut,0,0} } {NbPoints},
+ Format SimpleTable, File "Cut_byref.txt" ];
+ Else
+ Print [ by, OnLine { {0,0,0} {Xcut,0,0} } {NbPoints},
+ Format SimpleTable, File "Cut_by.txt" ];
+ Print [ bsy, OnLine { {0,0,0} {Xcut,0,0} } {NbPoints},
+ Format SimpleTable, File "Cut_bsy.txt" ];
+ Print [ bbsy, OnLine { {0,0,0} {Xcut,0,0} } {NbPoints},
+ Format SimpleTable, File "Cut_bbsy.txt" ];
+ Print [ bcorry, OnLine { {0,0,0} {Xcut,0,0} } {NbPoints},
+ Format SimpleTable, File "Cut_bcorry.txt" ];
EndIf
}
diff --git a/Conductors3D/w3d_common.pro b/Conductors3D/w3d_common.pro
index e8dc467f0dfc6edd0cfbabd4403ae550b31be86b..3f34eed820047969ea14c92178c5a3f4c2ca3992 100644
--- a/Conductors3D/w3d_common.pro
+++ b/Conductors3D/w3d_common.pro
@@ -4,32 +4,43 @@ deg = 180/Pi;
/*
Expected inductance of a rectilinear 1mm radius wire: 4 nH/cm
+
+ git/documentation/models/Inductor/magstadyn_av_js0_3d.pro
*/
DefineConstant[
- NumWires = {1, Name "Parameters/0Number of wires",
+ NumWires = {1, Name "Parameters/00Number of wires",
Choices {1="1", 2="2", 3="3"}, Visible 1}
- Flag_Form = {2, Name "Parameters/1Conductor type", Visible 1,
- Choices {1="Massive", 2="Stranded"}}
- Flag_Thin = {1, Name "Parameters/2Use thin wires", Choices {0,1}, Visible 1}
- Flag_Corr = {1, Name "Parameters/3Correction method",
- Visible (Flag_Form==2) && Flag_Thin,
- Choices {0="None", 1="Raw sleeve", 2="regular sleeve"}}
- Flag_U = {0, Name "Parameters/4Impose U", Choices {0,1}, Visible 1}
+
+ Flag_Thin = {1, Name "Parameters/01Thin wires",
+ Choices {0,1}, Visible 1}
+ Flag_RegSleeve = {0, Name "Parameters/02Regular sleeves",
+ Choices {0,1}, Visible Flag_Thin}
+
+ Flag_SemiAnalytic = {1, Name "Parameters/03Semi-analytic approach",
+ Choices {0,1}, Visible Flag_Thin}
+
+ Flag_Stranded = {0, Name "Parameters/04Stranded conductors",
+ Choices {0,1}, Visible !Flag_SemiAnalytic || !Flag_Thin}
+ Flag_Dual = {0, Name "Parameters/05Dual approach",
+ Choices {0,1}, Visible Flag_SemiAnalytic && Flag_Thin}
+ Flag_U = {0, Name "Parameters/06Impose U", Choices {0,1}, Visible 1}
+
+ WireRadius = {1, Name "Parameters/10Wire radius [mm]"}
+ MeshSizeWire = {0.25, Name "Parameters/11Mesh size in wire [mm]",
+ Visible !Flag_Thin}
+ MeshSizeThinWire = {2, Name "Parameters/12Mesh size on thin wire [mm]",
+ Visible Flag_Thin}
+ //SleeveRadius = {2, Name "Parameters/13Sleeve radius [mm]", Visible Flag_RegSleeve}
+ box = {100*mm, Name "Parameters/5box half-width [m]"}
+
Flag_Maps = {1, Name "Input/2Display maps", Choices {0,1}, Visible 1}
LogFreq = {4, Min 1, Max 8, Step 0.25, Name "Input/4Log of frequency"}
Freq = 10^LogFreq
- WireRadius = {1, Name "Parameters/5Wire radius [mm]"}
- MeshSizeWire = {1, Name "Parameters/6Mesh size in wire [mm]",
- Visible !Flag_Thin}
- MeshSizeThinWire = {1, Name "Parameters/7Mesh size on thin wire [mm]",
- Visible Flag_Thin}
- SleeveRadius = {2, Name "Parameters/8Sleeve radius [mm]"}
- box = {100*mm, Name "Parameters/9box half-width [m]"}
-
+
rw = WireRadius*mm
- rs = SleeveRadius*mm
+ rs = MeshSizeThinWire*mm
A_c = Pi*rw^2 // wire cross section
rout = box
Lz = 10*mm
@@ -41,6 +52,10 @@ DefineConstant[
*/
];
+If( Flag_SemiAnalytic )
+ SetNumber("Parameters/01Thin wires", 1);
+ Flag_Thin=1;
+EndIf
Xlocs() = { 0, 5*mm, -5*mm};
@@ -50,7 +65,7 @@ For i In {1:NumWires}
WX~{i} = { Xlocs(i-1), // place wires symmetrically around x=0
Name Sprintf("Parameters/Wire %g/0X position [m]", i), Closed }
WY~{i} = { Ylocs(i-1), Name Sprintf("Parameters/Wire %g/0Y position [m]", i) }
- WI~{i} = { 1.23456, Name Sprintf("Parameters/Wire %g/2Current [A]", i) }
+ WI~{i} = { 1, Name Sprintf("Parameters/Wire %g/2Current [A]", i) }
WP~{i} = { 0*NumWires*(i-1),
Name Sprintf("Parameters/Wire %g/3Phase [deg]", i) }
];