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