实例介绍
采用COMSOL软件,对平面变压器的仿真过程进行叙述,让大家了解平面变压器的仿真流程,是个很好的指导教材
Solved with COMSOL Multiphysics 5.0 Results and discussion The magnetostatic analysis yields an inductance of 0. 1l mH and a dc resistance of 0. 29 mQ2. Figure 2 shows the magnetic flux density norm and the electric potential distribution volume: Coil potentiaL()Volume: Magnetic flux density norm (t ▲0.07 ▲2.88×10-4 2.5 1.5 0.03 05 0.01 V656×107v0 igure 2: Magnetic flux density norm and electric potential distribution for the magnetostatic analysis In the static (DC) limit, the potential drop along the winding is purely resistive and could in principle be computed separately and before the magnetic flux density is computed. When increasing the frequency, inductive effects start to limit the current and skin effect makes it increasingly difficult to resolve the current distribution in the winding. At sufficiently high frequency, the current is mainly flowing in a thin layer near the conductor surface. When increasing the frequency further. capacitive effects come into play and current is flowing across the winding as displacement current density. When going through the resonance frequency, the device goes from behaving as an inductor to become predominantly capacitive. At the self resonance, the resistive losses peak due to the large internal currents Figure 4 shows the surface current 3 MODELING OF A 3D INDUCTOR Solved with COMSOL Multiphysics 5.0 distribution atl MHz. Typical for high frequency the currents are displaced towards the edges of the conductor. freq(1)=1.0000E6_Surfaee: Surface-current density norm (A/) ▲186 18Q 160 1 0 ¥1.02 Figure 3: Surface current density at I MHz (below the resonance frequency) Figure 4 shows how the resistive part of the coil impedance peaks at the resonance frequency near 6MHz whereas Figure 5 shows how the reactive part of the coi impedance changes sign and goes from inductive to capacitive when passing through the resonance 4 MODELING OFA3DINDUCTOR Solved with COMSOL Multiphysics 5.0 Global: Lumped port impedance(Q2) d port impedance 7.5 G6. 5 83 2 7565554535251 0.1 0.2 0.3 0.4 0.5 09 igure 4: Real part of the electric potential distribution 5 MODELING OF A INDUCTOR Solved with COMSOL Multiphysics 5.0 Global: Lumped port impedance(Q2) 35000 Lumped port impedance 20000 10000 5000 0 5000 10000 -15000 20000 25000 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 09 Figure 5: The reactive part of the coil impedance changes sign hen passing through the resonance frequency, going from inductive to capacitive Model library path: ACDC_Module/Inductive_ Devices_and_coils/ inductor 3d From the file menu. choose new NEW I In the new window click model wizard MODEL WIZARD I In the model wizard window click 3D 2 In the Select physics tree, select AC/DC> Magnetic Fields(mf) 3 Click Add 4 Click Study MODELING OF A3D NDUCTOR Solved with COMSOL Multiphysics 5.0 5 In the Select study tree, select Preset Studies>Stationary GEOMETRY The main geometry is imported from file. Air domains are typically not part of a CaD geometry so they usually have to be added later. For convenience three additional domains have been defined in the CAd file. These are used to define a narrow feed gap where an excitation can be applied port l(impl) I On the model toolbar, click Import 2 In the Settings window for Import, locate the Import section 3 Click Browse 4 Browse to the models model library folder and double-click the file nductor 3d. mphbin Sphere /(sphl) I On the Geometry toolbar, click Sphere 2 In the Settings window for Sphere, locate the Size section 3 In the Radius text field, type 0.2 ick to expand the Layers section. In the table, enter the following settings Layer name Thickness(m) ayer 0.05 5 Click the Build All Objects button Form Union(fin) i On the Geometry toolbar, click Build All Click the Zoom Extents button on the Graphics toolbar 7 MODELING OF A 3D INDUCTOR Solved with COMSOL Multiphysics 5.0 3 Click the Wireframe Rendering button on the Graphics toolbar The geometry should now look as in the figure below 0.1 -0.1 0.2 0. 0. 0.1 y 0.0.2 Next, define selections to be used when setting up materials and physics Start b defining the domain group for the inductor winding and continue by adding other useful selections DEFINITIONS Explicit I On the Definitions toolbar, click Explicit 2 In the Settings window for Explicit, in the Label text field, type Winding 3 Select Domains 7,8 and 14 only I On the Definitions toolbar, click Explicit 2 In the Settings window for Explicit, in the Label text field, type Gap 3 Select domain 9 onl I On the Definitions toolbar, click Explicit 8 MODELING OF A3DINDUCTOR Solved with COMSOL Multiphysics 5.0 2 In the Settings window for Explicit, in the Label text field, type core 3 Select Domain 6 only Explicit 4 I On the Definitions toolbar, click Explicit 2 In the Settings window for Explicit, in the Label text field, type Infinite Elements 3 Select Domains 1-4 and 10-13 only Explicit 5 I On the Definitions toolbar, click Explicit 2 In the Settings window for Explicit, in the Label text field, type Non-conducting 3 Select Domains 1-6 and 9-13 only I On the Definitions toolbar, click Explicit 2 In the Settings window for Explicit, in the Label text field, type Non-conducting without Ie 3 Select Domains 5, 6, and 9 only. Infinite Element Domain /(iel) Use infinite elements to emulate an infinite open space surrounding the inductor I On the definitions toolbar click Infinite element domain 2 In the Settings window for Infinite Element Domain, locate the Domain Selection section 3 From the Selection list. choose Infinite Elements 4 Locate the Geometry section From the Type list, choose Spherical Next define the material settings ADD MATERIAL I On the Model toolbar, click Add Material to open the add Material window 2 Go to the Add material window 3 In the tree, select AC/DC>Copper. 4 Click Add to Component in the window toolbar 9 MODELING OF A 3D INDUCTOR Solved with COMSOL Multiphysics 5.0 MATERIALS Copper(mat/) I In the Model Builder window, under Component I(comp l)>Materials click Copper (matD) 2 In the Settings window for Material, locate the Geometric Entity Selection section 3 From the Selection list, choose winding ADD MATERIAL I Go to the Add Material window 2 In the tree. select built-In>Air 3 Click Add to Component in the window toolbar MATERIALS Air(mat2 I In the Model Builder window, under Component I(comp l)>Materials click Air(mat2) 2 In the Settings window for Material, locate the Geometric Entity Selection section 3 From the Selection list, choose Non-conducting The core material is not part of the material library so it is entered as a user-defined materia Material 3(mat3) I In the Model Builder window, right-click Materials and choose Blank Material 2 In the Settings window for Material, in the Label text field, type Core 3 Locate the geometric Entity Selection section 4 From the selection list choose Core 5 Locate the Material Contents section. In the table, enter the following settings Propert Name Value Unit Property group Electrical conductivity sigma 0 S/I Basic Relative permittivity epsilonr Basic Relative permeability mur 1e3 Basic 6 On the model toolbar. click Add Material to close the Add Material window MAGNETIC FIELDS (MF) Select Domains 1-8 and 10-14 only 0 MODELING OF A 3D INDUCTOR 【实例截图】
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