The Optimization Simulation of Pulsed Magnetic Field Coil Based on Ansoft Maxwell

Transcription

1 2018 Intrnational Confrnc on Modling Simulation and Optimization (MSO 2018) ISBN: h Optimization Simulation of Pulsd Magntic Fild Coil Basd on Ansoft Maxwll Yang JU * Hai-bin ZHOU Jing-fng YU Jiang-wi FAN and Hai-shng XU Kywords: Systms Enginring Rsarch Institut Bijing China *Corrsponding author A mthod Ansoft Maxwll High-intnsity magntic fild Coil optimization. Abstract. In ordr to study how a pulsd magntic fild mission coil producs a strongr magntic fild undr th sam xcitation sourc this papr mas a dtaild analysis of A mthod at th sam tim th Ansoft Maxwll finit lmnt simulation softwar is usd to simulat irrgular circular and triangular pulsd magntic fild mission coil. W can now from th rsults of analysis and simulation that th magntic fild intnsity of a circular coil is strongr than that of a triangular coil whn th radius of a circular coil is qual to th bottom dg of a quilatral triangl coil that th inclination of th sid of th coil can chang th dirction of th magntic lins of flux and th intnsity of th magntic fild is strngthnd. Svral mthods of optimizing th coil dsign in this papr can provid som guidanc for th optimization dsign of th pulsd magntic fild coil. Introduction Pulsd high-intnsity magntic filds ar widly usd in arospac biomdicin and military filds [1-3]. Bcaus th magntic fild producd by prmannt magnts is small and th cost of suprconducting magnts is highr. So gnrally popl us a coil to produc a strong magntic fild [4-8]. Undr th condition of th sam lctrifid currnt by changing th shap numbr and siz of th coil th intnsity of th magntic fild can b nhancd. h Huazhong Univrsity of Scinc and chnology has dsignd a layrd coil to incras th magntic fild intnsity [8-10]. Dduc th analytical solution of th magntic fild distribution of th irrgularly shapd coil is difficult. In ordr to obtain th magntic fild distribution charactristics of irrgular shapd coils and th influnc of diffrnt paramtrs on th distribution of th magntic fild this papr mas a dtaild analysis of A mthod at th sam tim th Ansoft Maxwll finit lmnt simulation softwar is usd to simulat irrgular circular and triangular pulsd magntic fild mission coil th influnc of th circular coil and th triangl aprtur and th shap of th innr and outr hols on th distribution of th magntic fild is also analyzd [3]. hrough th optimization of th coil th intnsity of th magntic fild has bn strngthnd. Analysis of Simulation Principl A mthod a common mthod to solv th problm of transint ddy currnt fild. As shown in Figur 1 th solution domain is dividd into xcitation sourc ara 1 and non ddy currnt ara 2.h boundary condition of 1 is 1 th boundary condition of 2 is 2 1 is th Infinity boundary for th Coils simulation th xcitation sourc ara 1 rprsnts xciting coil th non ddy currnt ara 2 rprsnts air ara [6]. 91

2 1 J s 2 h Maxwll quations: Figur 1. Solving rgional modl. H J E s (1) B E t (2) h is th conductivity of mdium th E is induction lctric fild th H is magntic fild intnsity th B is magntic flux dnsity th J s is xcitation altrnating currnt it is important to not that J s only xists in th coil [10]. In summary: 1 A J s 1 A 0 12 t 1 A 0 2 (3) o nsur th uniqunss of magntic vctor potntial bsids dfin th curl of A it nd to dfin th divrgnc of A Coulomb gaug A 0 is introducd [5]. According to th formula 3 and th boundary condition w us th wightd rsidual mthod to stablish th finit lmnt discrtization quation of th transint ddy currnt fild boundary valu problm and discrtiz th spac w can gt a first-ordr diffrntial quations of tim. h matrix form is as follows: K A D A F t Us th tim stp mthod of two point diffrnc schm to solv formula 4 it is now that: (4) n1 D n t n n D t n n K A F F K A (5) In th formula 1 is Bacward Eulr mthod 12is Cran-Nicholson mthod 23is Galrin mthod. In th formula for th ddy currnt ara th cofficint matrix and th variabl matrix in unit as follows: Kixx Kixy Kixz 0 Dixx 0 0 Dixu Kiyx Kiyy Kiyz 0 0 Diyy 0 D iyu Ki Di Kizx Kizy Kizz Dizz Dizu Diux Diuy Diuz Diuu 92

3 Ai Aix Aiy Aiz u i F im In th formula th i is nod numbr th m activ rgion maring [5]. For th non ddy currnt ara th cofficint matrix and th variabl matrix as follows: Kixx Kixy K ixz Ki Kiyx Kiyy Kiyz Kizx Kizy K izz 0 D i Ai Aix Aiy A iz F F F F i m imx imy imz It can figur out th magntic vctor potntial A through th rlation btwn magntic flux dnsity B and Induction currnt dnsity J with A th avrag flux dnsity and th inducd currnt dnsity of ach unit can b obtaind at ach tim it is as follows: N N B ( A A ) g x z y 1 y z N N B ( A A ) g y x z 1 z x g g N N N N B z ( Ay Ax ) J z ( Ay ) 1 x y 1 t z h Lorntz forc and its divrgnc can b furthr obtaind. J J N N ( ) g x Az 1 t x N N ( ) g y Ax 1 t y Simulation Optimization of Circular Coil h Innr and Outr Surfac of th Coil not Inclind lin 外面 内面 W (a) (b) (c) Figur 2. 3D modl of th coil. h 3D modl of th innr and outr surfac of th coil is not inclind is show as Figur 2(a). In th pictur th outr and innr surfac of th coil ar mard. h whol coil is cylindrical th air part of th innr hol is cylindrical. h lin is th trac of th magntic fild masurmnt. Lin distanc from th surfac of th coil 3mm and prpndicular to th X-Y plan. Figur 2(b) is th 3D modl of th innr is inclind and th outr is not inclin. h air part of th innr hol is circular truncatd con. h radius ratio of th circl on both sids of th innr hol is 1:1.6. Figur 2(c) is th 3D modl of th innr and outr surfac of th coil is inclind. h air part of th innr hol is circular truncatd con. h shap of th whol coil is truncatd con. h radius ratio of th circl on both sids of th innr hol is 1:1.6. In th following simulation procss th puls currnt in th coil is 5us and th amplitud is 100A. h Ansoft Maxwll transint fild analysis is usd to xtract th magntic fild data at th pa currnt. abl 1 is th maximum valu of th magntic induction intnsity on th masurmnt trac lin whn th innr radius of th coil is changd at mm th unit is sla it can b sn from th tabl that th magntic induction intnsity incrass with th incras of th innr radius whn th outr radius is constant. 93

4 abl 1. h maximum valu of th magntic induction intnsity. Innr radius of coil (mm) magntizing induction intnsity () h Innr Surfac Inclind and th Outr Surfac not Inclind Figur 3 is th distribution of th magntic fild in th vrtical plan of a circular coil. h figur (a) is th innr and outr surfac of th coil is not inclind th figur (b) is th innr is inclind and th outr is not inclin. It can b sn from th distribution of th cloud map that innr inclind surfac changs th magntic fild distribution and mas th magntic fild focus on th dirction of th inclin of th innr surfac. (a) (b) Figur 3. Magntic fild distribution cloud map. abl 2. h maximum valu of th magntic induction intnsity. Innr radius of coil (mm) magntizing induction intnsity () abl 2 is th maximum valu of th magntic induction intnsity on th masurmnt trac lin whn th innr radius of th coil is changd at mm th unit is sla. It can b sn from th tabl that th magntic induction intnsity incrass with th incras of th innr radius whn th outr radius is constant. Undr th sam radius th intnsity of th magntic fild producd by th coil of th innr surfac inclind and th outr surfac not inclind is highr than th coil of th innr and outr surfac not inclind. h Innr and Outr Surfac of th Coil Inclind abl 3 is th maximum valu of th magntic induction intnsity on th masurmnt trac lin whn th innr radius of th coil is changd at mm th unit is sla it can b sn from th tabl that th magntic induction intnsity incrass with th incras of th innr radius whn th outr radius is constant. Undr th sam radius th intnsity of th magntic fild producd by th coil of th innr surfac inclind and th outr surfac not inclind is highr than th othr two mthods. abl 3. h maximum valu of th magntic induction intnsity. Innr radius of coil (mm) magntizing induction intnsity () Simulation Optimization of riangl Coil h Innr and Outr Surfac of th Coil not Inclind Whn th triangl modl is stablishd th innr hol and th outsid ar invrtd triangl and th triangl is th quilatral triangl. abl 4 is th maximum valu of th magntic induction intnsity on th masurmnt trac lin whn th innr lngth of th triangl sids is changd at mm th unit is sla. It can b sn from th tabl that th magntic induction intnsity incrass with th incras of th lngth of a sid whn th outr lngth of a sid is constant. 94

5 abl 4. h maximum valu of th magntic induction intnsity. Innr radius of coil (mm) magntizing induction intnsity () h Innr Inclind and th Outr not Inclind abl 5 is th maximum valu of th magntic induction intnsity on th masurmnt trac lin whn th innr lngth of th triangl sids is changd at mm th unit is sla It can b sn from th tabl that th magntic induction intnsity incrass with th incras of th innr lngth of th triangl sids whn th outr lngth of th triangl sids is constant. Undr th sam lngth th intnsity of th magntic fild producd by th triangl of th innr surfac inclind and th outr surfac not inclind is highr than th triangl of th innr and outr surfac not inclind. abl 5. h maximum valu of th magntic induction intnsity. Innr radius of coil (mm) magntizing induction intnsity () h Innr and Outr Surfac of th Coil Inclind abl 6 is th maximum valu of th magntic induction intnsity on th masurmnt trac lin whn th innr lngth of th triangl sids is changd at mm th unit is sla it can b sn from th tabl that th magntic induction intnsity incrass with th incras of th innr lngth of th triangl sids whn th outr lngth of th triangl sids is constant. Undr th sam radius th intnsity of th magntic fild producd by th triangl of th innr surfac inclind and th outr surfac not inclind is highr than th othr two mthods. abl 6. h maximum valu of th magntic induction intnsity. Innr radius of coil (mm) magntizing induction intnsity () Summary his papr mas a dtaild analysis of A mthod at th sam tim th Ansoft Maxwll finit lmnt simulation softwar is usd to simulat irrgular circular and triangular pulsd magntic fild mission coil. W can now from th rsults of analysis and simulation that with th circular radius of th coil and th dg lngth of th triangl incras th magntic induction intnsity on th surfac of th coil is constantly nhancd; h magntic induction intnsity of th circular coil is highr than th magntic induction intnsity of th triangular coil whn th radius of th circular coil and th triangular dg ar qual; Undr th sam lngth th intnsity of th magntic fild producd by th coil of th innr surfac inclind and th outr surfac not inclind is highr than th othr two mthods. hrough th optimization of th coil th magntic fild has bn focusd and nhancd and th intnsity of th magntic fild has bn strngthnd. Svral mthods of optimizing th coil dsign in this papr can provid som guidancs for th optimization dsign of th pulsd magntic fild coil. Rfrncs [1] Song Yunxing. Multi-physics Coupling Mchanism in High Fild Magnts [D]. Huazhong Univrsity of Scinc and chnolog [2] Png ao Li Liang. h status and futu Dvlopmnt of pulsd high magntics filds [J]. Physics (1):

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