/COM,ANSYS MEDIA REL. 2024R2 (05/10/2024) REF. VERIF. MANUAL: REL. 2024R2 /VERIFY,VM270 /TITLE, VM270, FORCES IN PERMANENT MAGNETS (TEAM WORKSHOP PROBLEM 23) /COM, REFEENCE: " N.IDA, J.P.A.BASTOS, FORCES IN PERMANENT MAGNETS, TEAM /COM, WORKSHOP PROBLEM 23, PROCEEDINGS OF THE TEAM WORKSHOP IN /COM, THE SIXTH ROUND, OKAYAMA, PP.49-56. /COM, /NOPR /PREP7 ! DIMENSIONS AND PARAMETERS MM = 0.001 PI = ACOS(-1) ! CONFIGURATION A ! SAMARIUM-COBALT MAGNET AND LARGER COIL ! ELECTROMAGNET ! LARGER COIL D1 = 3.048*MM ! SPOOL INNER DIAMETER R_1=D1/2 ! SPOOL INNER RADIUS D2 = 3.9624*MM ! SPOOL OUTER DIAMETER R_2=D2/2 ! SPOOL OUTER RADIUS L_1 = 1.524*MM ! INNER LENGTH SE = 0.127*MM ! SPOOL END THICKNESS DEL = 0.234*MM ! AXIAL DISPLACEMENT N = 280 ! NUMBER OF TURNS R = 57 ! COIL RESISTANCE / OHM I = 0.050 ! COIL CURRENT / A AC = (R_2-R_1)*L_1 ! COIL AREA / M^2 JS = N*I/AC ! CURRENT DENSITY SD = SE + DEL ! PERMANENT MAGNET ! SAMARIUM-COBALT D3 = 2.9972*MM ! DIAMETER OF LARGE MAGNET R_3=D3/2 ! RADIUS OF LARGE MAGNET L_3 = 1.6*MM ! LENGTH BR = 1.02 ! REMANENCE / T HC = 720000 ! COERCIVITY / A/M MU0 = 4*PI*1E-7 ! FREE-SPACE PERMEABILITY / H/M ! SOLID MODEL ! PERMANENT MAGNET RECT,0,R_3,0,L_3 RECT,0,R_3,-0.25*MM,0 RECT,R_3,R_2,-0.25*MM,0 RECT,R_3,R_2,0,L_3 RECT,0,R_3,L_3,L_3+0.25*MM RECT,R_3,R_2,L_3,L_3+0.25*MM RECT,0,R_3,L_3+0.25*MM,L_3+SD RECT,R_3,R_2,L_3+0.25*MM,L_3+SD ! CONDUCTOR RECT,0,R_1,L_3+SD,L_3+SD+L_1 RECT,R_1,R_2,L_3+SD,L_3+SD+L_1 NUMMRG,KP WPOFF,,L_3/3 PCIRC,,10*MM,-90,90 PCIRC,,15*MM,-90,90 AOVLAP,ALL NUMCMP,AREA ! FEM MODEL ! ELEMENT TYPES ET,1,PLANE233,0,0,1 ! 2-D MAGNETIC (AZ) AXISYMMETRIC SOLID KEYOP,1,7,1 ! CONDENCE FMAG FORCES TO ELEMENT CORNER NODES ET,2,110,,1,1 ! INFIN BOUNDARY ! MATERIALS ! AIR MP, MURX, 1, 1 ! COPPER MP, MURX, 2, 1 !SAMARIUM-COBALT MP, MURX, 3, BR/(HC*MU0) MP, MGYY, 3, HC !INFIN ELEMENTS MP,MURX,4,1 ! AREA ATTRIBUTES ! PERMANENT MAGNET ASEL,S,AREA,,9 AATT,3,,1 ! COPPER COIL ASEL,S,AREA,,8 AATT,2,,1 ! AIR ALLSEL ASEL,U,,,7,9 AATT,1,,1 ASEL,S,,,7 AATT,4,,2 ALLSEL ! MESHING MSHAPE,0,2D MSHKEY,2 ESIZE,.125*MM ASEL,U,,,7 ASEL,U,,,12 AMESH,ALL ASEL,ALL ESIZE,.25*MM LSEL,S,,,24,25 LESIZE,ALL,,,1 LSEL,ALL AMESH,7 ESIZE,0.25*MM AMESH,12 LSEL,S,,,16 NSLL,S,1 SF,ALL,INF,1 ALLSEL ! BOUNDARY CONDITIONS ! CONSTRAIN MAGNETIC VECTOR POTENTIAL ON SIDES OF AIR BOX CSYS,0 NSEL,S,LOC,X,0 D, ALL, AZ, 0 ALLSEL ! APPLY CURRENT TO COIL ESEL, S, MAT, , 2 BFE, ALL, JS, 1,,, JS ALLSEL ESEL,S,MAT,,2 CM,COND,ELEM ESEL,S,MAT,,3 CM,MAGNET,ELEM ESEL,ALL ALLSEL,ALL FINISH ! *** SOLVE WITH MAXWELL FORCE OPTION /SOLU ANTYPE, STATIC /OUT,SCRATCH SOLVE /OUT FINISH /POST1 ESEL,S,MAT,,3 NSLE ESLN EMFT ! SUM UP FMAG FORCES ACTING ON THE PERMANENT MAGNET ALLSEL,ALL FY_TAR1=1.150*9.81E-3 ! TARGET (MEASURED) FORCE FY FY_OBT1 = _FYSUM ! FORCE OBTAINED FROM MECHANICAL APDL FINISH ! *** SOLVE WITH LORENTZ FORCE OPTION /PREP7 KEYOPT,1,7,0 KEYOP,1,8,1 ! ELECTROMAGNETIC FORCE CALCULATION USING LORENTZ FINISH /SOLU ANTYPE,STATIC /OUT,SCRATCH SOLVE /OUT FINISH /POST1 ESEL,S,MAT,,2 NSLE EMFT ! SUM UP FMAG FORCES ACTING ON THE COIL ALLS FY_TAR2=-1.150*9.81E-3 ! TARGET (MEASURED) FORCE FY FY_OBT2 = _FYSUM ! FORCE OBTAINED FROM MECHANICAL APDL PLF2D ! PLOT FLUX LINES IN THE MODEL *DIM,LABEL,CHAR,1,2 *DIM,VALUE,,2,3 LABEL(1,1) = 'F_MAX' LABEL(1,2) = 'F_LOR' *VFILL,VALUE(1,1),DATA,FY_TAR1 *VFILL,VALUE(1,2),DATA,FY_OBT1 *VFILL,VALUE(1,3),DATA,ABS(FY_OBT1/FY_TAR1) *VFILL,VALUE(2,1),DATA,FY_TAR2 *VFILL,VALUE(2,2),DATA,FY_OBT2 *VFILL,VALUE(2,3),DATA,ABS(FY_OBT2/FY_TAR2) SAVE,TABLE_1 FINISH RESUME,TABLE_1 /COM, /OUT,vm270,vrt /COM,-----------------------VM270 RESULTS COMPARISON ----------------------- /COM, /COM, | TARGET | Mechanical APDL | RATIO /COM, /COM, MAXWELL FORCE CALCULATION /COM, *VWRITE,LABEL(1,1),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A3,' ',F10.4,' ',F14.4,' ',F17.3) /COM, /COM, LORENTZ FORCE CALCULATION /COM, *VWRITE,LABEL(1,2),VALUE(2,1),VALUE(2,2),VALUE(2,3) (1X,A3,' ',F10.4,' ',F14.4,' ',F17.3) /COM, /COM,------------------------------------------------------------------------- /OUT *LIST,vm270,vrt FINISH /DEL,SCRATCH