def integration_process(folder_path,preProcData): file_names=File_names() results_folder=file_names.get_results_folder_name() results_path=os.path.join(folder_path,results_folder) #%% Instances and geral definitions aux_RNM=AuxMethodsRNM() global_variables=GlobalVariables() error=Errors() operations=Operations() materials_lib=get_materials_lib() vacuum=Vacuum() get_gauss_points_class=GaussPoints() shape_functions=ShapeFuncions() operations=Operations() str_noflux_face=global_variables.str_noflux_face open_circuit_reluctance=global_variables.magnetic_open_circuit_reluctance results_folder=file_names.get_results_folder_name() face=Face() #------------------------------------------------------------------------------ # Setup regions_material=preProcData.RegionMaterial regions_excitation=preProcData.RegionExcitation boundary=preProcData.BC external_reluctances=preProcData.ExternalReluctances coupling=preProcData.CoupNet #------------------------------------------------------------------------------ # Mesh mesh_data=preProcData.MeshData all_elem_nodes_3D= mesh_data.ElemNodes nodes_coordenates=mesh_data.NodesCoordenates elem_tags=mesh_data.ElemTags elem_type=mesh_data.ElemType #%%Get source field #Run Biot-Savart run_biot_savart=False # for eachregion in regions_excitation: # if eachregion.Value != 0.0: # field_solution=Biot_Savart.run_Biot_Savart(setup_file_name,mesh_file_name,folder_path) # run_biot_savart=True # break # Run Permanent Magnets run_permanent_magnets=False for each_region in regions_material: for each in materials_lib[each_region.MaterialName].Hc: if each !=0.0: field_solution=permanent_magnets.run_permanent_magnets(preProcData,folder_path) run_permanent_magnets=True break #Read the file if run_biot_savart or run_permanent_magnets: (H_field,H_field_elem_nodes_3D)=get_Field_solution(os.path.join(results_path,file_names.get_H_results_file_name())) run_external_circuit=False if len(coupling)>0: run_external_circuit=True #%% Get 2D and 3D elements, with their materials name elem_2D_ID=list() elem_type_3D=list() elem_nodes_3D=list() elem_tags_3D=list() region_ID_list_3D=list() number_elements_2D=0 for counter,each_elem in enumerate(all_elem_nodes_3D): this_elem_type=elem_type[counter] if this_elem_type<4: elem_2D_ID.append(counter) number_elements_2D+=1 else: elem_nodes_3D.append(each_elem) elem_type_3D.append(elem_type[counter]) elem_tags_3D.append(elem_tags[counter]) find=False for each_region in regions_material: if each_region.RegionNumber==elem_tags[counter][0]: region_ID_list_3D.append(each_region.MaterialName) find=True if not find: error.physical_surface_not_defined(str(each_region.RegionNumber),elem_tags[counter][0]) number_elements=len(elem_nodes_3D) number_nodes=len(nodes_coordenates) faces_ID=list() faces_list=list() #%%Creates the face list print_message("Creating faces list") for elem_counter in range(0,number_elements): number_local_faces=shape_functions.get_number_faces(this_elem_type) this_elem_type=elem_type_3D[elem_counter] this_element_nodes=elem_nodes_3D[elem_counter] faces_nodes_ID=shape_functions.get_nodes_ID_2_face(this_elem_type) number_faces,nodes_per_face=faces_nodes_ID.shape local_faces_ID=list() for local_face_counter in range(0,number_faces): nodes_list=list() for node_counter in range(nodes_per_face): node_ID=faces_nodes_ID[local_face_counter,node_counter] nodes_list.append(this_element_nodes[node_ID]) local_faces_ID.append(face.add_to_list(nodes_list,elem_counter,faces_list)) faces_ID.append(local_faces_ID) print_message("Creating faces list - Done") #%%Integration print_message("Integration process") num_meshed_rel=len(faces_list) num_non_meshed_rel=len(external_reluctances) num_total_rel=num_meshed_rel+num_non_meshed_rel #sparse matrix cols_rel_sparse=list() rows_rel_sparse=list() #reluctance matrix diagonal=list() for each_element_faces in faces_ID: numbre_faces_this_element=len(each_element_faces) for face_counter_1 in xrange(numbre_faces_this_element): pos_1=each_element_faces[face_counter_1] for face_counter_2 in xrange(numbre_faces_this_element): pos_2=each_element_faces[face_counter_2] if faces_list[pos_1].elem_2!=str_noflux_face and faces_list[pos_1].elem_2!=str_noflux_face: if pos_1==pos_2: if pos_1 not in diagonal: rows_rel_sparse.append(pos_1) cols_rel_sparse.append(pos_2) diagonal.append(pos_1) else: rows_rel_sparse.append(pos_1) cols_rel_sparse.append(pos_2) data_rel_sparse=np.zeros(len(rows_rel_sparse)) faces_rel_spare=csr_matrix((data_rel_sparse, (rows_rel_sparse, cols_rel_sparse)), shape=(num_meshed_rel, num_meshed_rel)) #fmm matrix cols_fmm_sparse=np.zeros(num_meshed_rel) rows_fmm_sparse=xrange(0,num_meshed_rel) data_fmm_sparse=np.zeros(num_meshed_rel) fmm_sparse=csr_matrix((data_fmm_sparse, (rows_fmm_sparse, cols_fmm_sparse)), shape=(num_meshed_rel,1)) faces_rel_matrix=np.zeros((num_meshed_rel,num_meshed_rel)) faces_fmm_matrix=np.zeros((num_meshed_rel,1)) xy_integ_points_list=list() W_integ_points_list=list() this_elem_type="" for elem_counter in xrange(number_elements): this_elem_type_changed=elem_type_3D[elem_counter] if this_elem_type!=this_elem_type_changed: this_elem_type=this_elem_type_changed gauss_points=get_gauss_points_class.get_gauss_points(this_elem_type) number_local_faces=shape_functions.get_number_faces(this_elem_type) number_integ_points=len(get_gauss_points_class.get_gauss_points(this_elem_type)) wtri=get_gauss_points_class.get_integration_weight(this_elem_type) faces_ID_Elem=faces_ID[elem_counter] this_element_nodes=elem_nodes_3D[elem_counter] mu_elem=vacuum.mu0*materials_lib[region_ID_list_3D[elem_counter]].Permeability # Get W at reference element w_local_this_element=list() #[gauss point][face] for each_integ_point in xrange(number_integ_points): #u,v,w coordinates u=gauss_points[each_integ_point,0] v=gauss_points[each_integ_point,1] w=gauss_points[each_integ_point,2] # Shape functions @ reference element w_local_this_point=shape_functions.get_facet_shape_function(this_elem_type,u,v,w) w_local_this_element.append(w_local_this_point) # Shape functions @ real element for each face w_real_all_points=list() # w_real_lista[0] contains the shape function of all points for face 0 # Face 0...Fn #P0 W #Pn for face_counter in xrange(number_local_faces): w_real_this_point=list() for point_counter in range(0,number_integ_points): w_local=w_local_this_element[point_counter][face_counter] w_real=operations.convert_local_real_Piola(this_elem_type,w_local[0,0],w_local[0,1],w_local[0,2],this_element_nodes,nodes_coordenates) w_real_this_point.append(w_real) w_real_all_points.append(w_real_this_point) # Source fields if run_biot_savart or run_permanent_magnets: H_points=H_field_elem_nodes_3D[elem_counter] for local_face_counter in xrange(number_local_faces): w_1=copy.deepcopy(w_real_all_points[local_face_counter]) face_ID_1=faces_ID_Elem[local_face_counter] if faces_list[face_ID_1].elem_2==elem_counter: for each in w_1: each=aux_RNM.invert_w(each) # mmf source integration process source=0 for each_integ_point in xrange(number_integ_points): w_1_this_point=w_1[each_integ_point] u=gauss_points[each_integ_point,0] v=gauss_points[each_integ_point,1] p=gauss_points[each_integ_point,2] w=w_1_this_point xy_coord=operations.convert_local_real(this_elem_type,u,v,p,this_element_nodes,nodes_coordenates) xy_integ_points_list.append(xy_coord) W_integ_points_list.append(w) if run_biot_savart or run_permanent_magnets: H_point=H_points[each_integ_point] Hx=H_field[H_point][0] Hy=H_field[H_point][1] Hz=H_field[H_point][2] if (Hx!=0) or (Hy!=0) or (Hz!=0) : Hxy=np.array([[Hx], [Hy], [Hz]]) # Jacobian jac=operations.get_jacobian(this_elem_type,this_element_nodes,nodes_coordenates,u,v) det_jac=np.linalg.det(jac) abs_det_jac=np.abs(det_jac) source=source+wtri*abs_det_jac*aux_RNM.dot_product(w,Hxy) aux_RNM.fmm_matrix_control(face_ID_1,faces_fmm_matrix,source,False,faces_list,str_noflux_face) aux_RNM.fmm_matrix_control(face_ID_1,fmm_sparse,source,False,faces_list,str_noflux_face) fmm_sparse # Relutances integration process for local_face_counter_2 in xrange(number_local_faces): w_2=copy.deepcopy(w_real_all_points[local_face_counter_2]) face_ID_2=faces_ID_Elem[local_face_counter_2] if faces_list[face_ID_2].elem_2==elem_counter: for each in w_2: each=aux_RNM.invert_w(each) wtot=0.0 for each_integ_point in range(0,number_integ_points): u=gauss_points[each_integ_point,0] v=gauss_points[each_integ_point,1] p=gauss_points[each_integ_point,2] # Jacobian jac=operations.get_jacobian(this_elem_type,this_element_nodes,nodes_coordenates,u,v,p) det_jac=np.linalg.det(jac) abs_det_jac=np.abs(det_jac) # Reluctance w_1_this_point=w_1[each_integ_point] w_2_this_point=w_2[each_integ_point] wtot=wtot+wtri*abs_det_jac*aux_RNM.dot_product(w_1_this_point,w_2_this_point)/mu_elem aux_RNM.reluctance_matrix_control(face_ID_1,face_ID_2,faces_rel_matrix,wtot,False,faces_list,str_noflux_face) aux_RNM.reluctance_matrix_control(face_ID_1,face_ID_2,faces_rel_spare,wtot,False,faces_list,str_noflux_face) print_message("Integration process - Done") # Connection between the physical line with the circuit node print_message("External faces") magnetic_short_circuit_reluctance=global_variables.magnetic_short_circuit_reluctance for counter,each_face in enumerate(faces_list): if each_face.elem_2==str_noflux_face: for each_face_con in elem_2D_ID: nodes_face_shared=all_elem_nodes_3D[each_face_con] phys_line=elem_tags[each_face_con][0] for each_coupling in coupling: if each_coupling.PhysLine==phys_line: bool_connect=True for each_node_this_face in each_face.nodes_list: if each_node_this_face not in nodes_face_shared: bool_connect=False if bool_connect: # Redefine the face new_face=Face(each_face.nodes_list,each_face.elem_1,each_coupling.Node+number_elements) faces_list[counter]=new_face each_coupling.Face_ID_List.append(counter) #Set the reluctance as a magnetic short circuit # aux_RNM.reluctance_matrix_control(counter,counter,faces_rel_spare,magnetic_short_circuit_reluctance,False) #%% Delete the faces without external connections faces_ID_deleted_list=list() faces_deleted_list=list() counter=0 #Delete from reluctances and fmm matrix for face_counter in xrange(len(faces_list)): if faces_list[face_counter].elem_2==str_noflux_face: faces_ID_deleted_list.append(face_counter) faces_rel_matrix=np.delete(faces_rel_matrix, faces_ID_deleted_list, axis=0) faces_rel_matrix=np.delete(faces_rel_matrix, faces_ID_deleted_list, axis=1) faces_fmm_matrix=np.delete(faces_fmm_matrix, faces_ID_deleted_list, axis=0) ##Delete from faces_list counter=0 for each in faces_ID_deleted_list: face_ID=each+counter this_face=faces_list[face_ID] faces_list.remove(this_face) faces_deleted_list.append(this_face) counter-=1 #%% Add the external circuit reluctances external_nodes_list=list() rows,cols=faces_rel_matrix.shape for each in external_reluctances: mu_elem=vacuum.mu0*materials_lib[each.Material].Permeability #Get the list of external nodes if each.node_from not in external_nodes_list: external_nodes_list.append(each.node_from) if each.node_to not in external_nodes_list: external_nodes_list.append(each.node_to) #add the reluctance in the matrix system row_matrix=np.zeros((1,cols)) faces_rel_matrix=np.vstack((faces_rel_matrix,row_matrix)) rows+=1 col_matrix=np.zeros((rows,1)) faces_rel_matrix=np.hstack((faces_rel_matrix,col_matrix)) cols+=1 faces_fmm_matrix=np.vstack((faces_fmm_matrix,each.fmm)) #reluctance value reluctance_value=each.LS/mu_elem faces_rel_matrix[rows-1,cols-1]=reluctance_value #create a new face in the faces_list new_face=Face([],each.node_from+number_elements,each.node_to+number_elements) faces_list.append(new_face) #Get the list of external nodes for each in coupling: if each.Node not in external_nodes_list: external_nodes_list.append(each.Node ) print_message("External faces - Done") #%% Incidence matrix print_message("Incidence matrix") external_nodes=0 if run_external_circuit: external_nodes+=len(external_nodes_list) else: external_nodes+=0 total_nodes=number_elements+external_nodes incidence_matrix=np.zeros((total_nodes,len(faces_list))) for counter,each_face in enumerate(faces_list): if each_face.elem_2!=str_noflux_face: incidence_matrix[each_face.elem_1,counter]=1 incidence_matrix[each_face.elem_2,counter]=-1 else: incidence_matrix[each_face.elem_1,counter]=1 incidence_matrix[total_nodes-1,counter]=-1 print_message("Incidence matrix - Done") return faces_ID,results_path,faces_rel_matrix,incidence_matrix,faces_fmm_matrix,faces_ID_deleted_list,faces_list,faces_deleted_list
if run_biot_savart or run_permanent_magnets: H_point=H_points[each_integ_point] Hx=H_field[H_point][0] Hy=H_field[H_point][1] if (Hx!=0) or (Hy!=0): Hxy=np.array([[Hx], [Hy]]) # Jacobian jac=operations.get_jacobian(this_elem_type,this_element_nodes,nodes_coordenates,u,v) det_jac=np.linalg.det(jac) abs_det_jac=np.abs(det_jac) source=source+wtri*abs_det_jac*aux_RNM.dot_product(w,Hxy) aux_RNM.fmm_matrix_control(face_ID_1,faces_fmm_matrix,source,False) # Relutances integration process for local_face_counter_2 in range(0,number_local_faces): w_2=copy.deepcopy(w_real_all_points[local_face_counter_2]) face_ID_2=faces_ID_Elem[local_face_counter_2] if faces_list[face_ID_2].elem_2==elem_counter: for each in w_2: each=aux_RNM.invert_w(each) wtot=0.0