Operator BIOT DATE 96/11/20 Opérateur BIOT -------------- CHPO1 = BIOT |('POTE')| |('INDU')| GEO1 | 'CERC' CENTR1 POIN1 POIN2 RI RE H | | 'ARC' CENTR1 POIN1 POIN2 RI RE H | | 'BARR' POIN1 POIN2 POIN3 DY DZ | | 'FIL' POIN1 POIN2 | ('TRAP' P1 P2) DENS MU0 ; Description : ____________ The BIOT operator constructs the Biot et Savart induction field or vector potential created over the GEO1 object by a part of line, surface or massive inductor of rectangular (default) or trapezoidal cross section. It works only in 3D. Contents : __________ 'POTE' : vector potential calculation is required. 'INDU' : induction calculation is required. GEO1 : geometrical object supporting the field to be computed (MAILLAGE type) The spiral can either be a closed circle, or an arc of a circle or a bar or else a wire, depending on the key word. Therefore the data are : 'CERC' : key word followed by : CENTR1 : circle centre (POINT type) POIN1 | two points of the spiral plane (POINT type) POIN2 | RI : spiral internal radius (FLOTTANT type) RE : spiral external radius (FLOTTANT type) H : spiral total height (FLOTTANT type) Remark : Using well-adapted values for RI, RE and H allows to model either a circular wire or circular current surfaces as well. RI = RE et H = 0 : circular spiral RI = RE et H > 0 : cylindrical surface H = 0 : crown 'ARC' : key word followed by : CENTR1 : circle centre (POINT type) POIN1 | two points of the spiral plane (POINT type) POIN2 | RI : spiral internal radius (FLOTTANT type) RE : spiral external radius (FLOTTANT type) H : spiral total height (FLOTTANT type) Remark : Using well-adapted values for RI, RE and H allows to model either a circular wire or circular current surfaces as well. RI = RE et H = 0 : piece of circular spiral RI = RE et H > 0 : piece of cylindrical surface H = 0 : piece of crown 'BARR' : key word followed by : POIN1 : centre of gravity of the initial section (POINT type) POIN2 : centre of gravity of the final section (POINT type) POIN3 : point defining the bar local axis oy (POINT type) DY : bar width in the plane POIN1 POIN2 POIN3 DZ : bar width in the plane at 90 from the previous Remark : Using well-adapted values for DY, and DZ allows to model rectangular current surfaces. DZ = 0 : rectangular surface lying in the plane xOy DY = 0 : rectangular surface lying in the plane xOz 'FIL' : key word followed by : POIN1 : first extremity of the straight wire (POINT type) POIN2 : second extremity of the straight wire (POINT type) 'TRAP' : key word used to define a trapezoidal cross section : In the circular case, we assume that the cross section lies in the plane (r,z) and that the parallele edges are along the z-direction of the rotation axis. In the linear case, we assume that the cross section lies in the plane (x,z) and that the parallele edges are along the z-direction. We can then define the slopes in the cross section local coordinates system. P1 : lower slope of the trapezoidal cross section (FLOTTANT TYPE) P2 : upper slope of the trapezoidal cross section (FLOTTANT TYPE) Remark : Using well-adapted values for P1, and P2 allows to model either triangular cross section inductors or conical part current surfaces as well. P1 = P2 and H = 0 : conical case (circular case) H = |P2 - P1|(RE-RI)/2 : triangular cross-section DENS : current density (A/m2 in the massive case, A/m in the surfacic case, A in the linear case) in the inductor cross section (FLOTTANT type), considered positive as follows : - 'CERC' case : in the trigonometric direction connected with CENTR1, POIN1, POIN2 - 'ARC' case : from POIN1 to POIN2 - 'BARR' case : from POIN1 to POIN2 - 'FIL ' case : from POIN1 to POIN2 MU0 : vacuum permeability allocated to the unit of length used (FLOTTANT type) CHPO1 : induction field (CHPOINT type) of components BX BY BZ or vector potential (CHPOINT type) of components AX AY AZ, according to the corresponding key-word.