Universidad Nacional de Chimborazo
NOVASINERGIA, 2019, Vol. 2, No. 1, diciembre-mayo, (40-48)
ISSN: 2631-2654
https://doi.org/10.37135/unach.ns.001.03.05
Research Article
Non-destructive Inspection of Voids on Power MOSFET’s
Inspecci
´
on no destructiva de vac
´
ıos en MOSFET de Potencia
Jose Brito del Pino
1
*, Felipe Brito del Pino
2
, Moshe Brito del Pino
1
1
Facultad de Ingenier
´
ıa, Universidad Nacional de Chimborazo, Riobamba, Ecuador, 060108; mybrito.fis@unach.edu.ec
2
Transmissions Department, Coorporaci
´
on Nacional de Telecomunicaciones, Riobamba, Ecuador, 060102;
andres.brito@cnt.gob.ec
* Correspondence: jose.brito@unach.edu.ec
Recibido 24 marzo 2019; Aceptado 24 mayo 2019; Publicado 06 junio 2019
Abstract:
Voids can affect the normal function on Power Metal-Oxide-Semiconductor Field-
Effect Transistors (MOSFET’s) if they are over 25% of the total area, this being an
important feature in the quality control of voids on the manufacturing process. The ex-
perimental method was employed using the Scanning Electron Microscopy with Energy
Dispersive Spectroscopy (SEM-EDS) and microtomography techniques. The scanning
electron microscopy with energy dispersive spectroscopy method permitted the quan-
tification of the chemical and physical characteristics of the solder layer in each device.
The microtomography method has been employed as a Non-Destructive Inspection
(NDI) method on Power MOSFET’s to quantify the voids. The research methodology
permitted the quantification of the voids with the aim of inspecting the manufacturing
imperfections which can influence the performance of the device. The object-oriented
programming was developed using LabView software which allowed improving the
voids detection from an image with distortion, quantifying microvoids and macrovoids,
locating in the solder layer using the voiding mass center and obtaining the statistic
result. The results of analyzing voids demonstrated that the technique and the method-
ologies employed for this type of defect detection in Power MOSFET’s could represent
a suitable NDI tool for quality control.
Keywords:
Power MOSFET’s, Quality Control, Software, Tomography, Voids.
Resumen:
Los vac
´
ıos pueden afectar la funci
´
on normal de los transistores de efecto de campo
Metal-Oxide-Semiconductor (MOSFET) si son m
´
as del 25 % del
´
area total, siendo esta
una caracter
´
ıstica importante en el control de calidad de los vac
´
ıos en el proceso de
fabricaci
´
on. El m
´
etodo experimental se emple
´
o utilizando la microscop
´
ıa electr
´
onica
de barrido con espectroscopia de dispersi
´
on de energ
´
ıa (SEM-EDS) y la t
´
ecnica de mi-
crotomograf
´
ıa. El m
´
etodo de microscop
´
ıa electr
´
onica de barrido con espectroscopia de
dispersi
´
on de energ
´
ıa permiti
´
o la cuantificaci
´
on de las caracter
´
ısticas qu
´
ımicas y f
´
ısicas
de la capa de soldadura en cada dispositivo. El m
´
etodo de microtomograf
´
ıa se ha uti-
lizado como m
´
etodo de inspecci
´
on no destructiva (NDI) en los MOSFET de potencia
para cuantificar los huecos. La metodolog
´
ıa de investigaci
´
on permiti
´
o la cuantificaci
´
on
de los vac
´
ıos con el objetivo de inspeccionar las imperfecciones de fabricaci
´
on que in-
fluyen en el rendimiento del dispositivo. La programaci
´
on orientada a objetos se desar-
roll
´
o utilizando el software LabView que permite mejorar la detecci
´
on de huecos desde
una imagen con distorsi
´
on, cuantificar microvoides y macrovoides, la ubicaci
´
on en la
capa de soldadura utilizando el centro de masa de vaciado y su resultado estad
´
ıstico.
Los resultados del an
´
alisis de vac
´
ıos demostraron que la t
´
ecnica y los m
´
etodos utiliza-
dos para este tipo de detecci
´
on de defectos en Power MOSFET podr
´
ıan representar una
herramienta NDI adecuada para el control de calidad.
Palabras clave:
MOSFET de potencia, Control de Calidad, Software, Tomograf
´
ıa, Vac
´
ıos.
http://novasinergia.unach.edu.ec
1 Introduction
Actually the technology of semiconductors has a
fast development with an improvement in the reli-
ability and quality of its components. The Power
MOSFET transistors have their parameters of qual-
ity, which can be identified on datasheets of manu-
facture (Bajenescu & Bazu, 1999).
The Power MOSFET device, called MDmesh (Mul-
tiple Drain mesh), permits the best performance in
the power management, reduction of the size of the
package, and the same conduction losses fabricated
with a standard technology (Saggio et al., 2000).
The Power MOSFET’s of ST’s MDmesh K5 se-
ries had characteristics for increasing the efficiency
in applications such as LED lighting, metering, so-
lar inverters, 3-phase auxiliary power supplies, and
welding (STLife-Augmented, 2017).
The high lead (Pb) soldiers for power semiconduc-
tor devices provide good heat dissipation of typi-
cally 35 W/mK, is ductile and exhibits desirable
thermal expansion properties that tolerate the sili-
con (4.2 ppm/K), to avoid joint failure due to ther-
mal cyclic stresses (Manikam et al., 2013). In ex-
treme cases, too little solder may result in voided or
open circuits and too much solder may result in sol-
der balling or short circuits (DirectFET-Technology,
2017a). The void is defined such as a blow hole
in the solder joint or non-conductive cavities within
the soldered joint and their excessive presence poses
a significant reliability risk. The IPC-7095 standard
specifies a maximum allowable voiding area of 25%
(Dusek et al., 2013; Bu
ˇ
sek et al., 2016). The inter-
connect solder board joint-to-board is influenced for
the pad technology, the dimensions, metallization,
and layout (DirectFET-Technology, 2017b). The
volatile compounds from paste solder can be evapo-
rated by the soldering process and gaseous compo-
nents tend to leave the molten solder and some re-
main inside the solder and create voids (Bu
ˇ
sek et al.,
2016). The electronic assembly of semiconductor
devices can have joint solder void problems that
will influence not only the reliability of the solder
joint but also the electrical, mechanical and thermal
properties of the joint. (Ruifen et al., 2014). Ad-
ditionally, the effects of the void on the electrother-
mal behavior of Power MOSFET, which reduces the
ability of the die-attach solder layer to conduct heat
from the silicon junction to the heat spreader, are a
reason for their study using scanning acoustic mi-
croscopy, x-ray, and TEM techniques. (Katsis &
Vanwyk, 2006; Tran et al., 2017a; Kim et al., 1999).
The scanning electron microscopy has been able to
show the inner structure of field-effect transistors in
order of nanometers (Tulevski et al., 2006). The
electron microscope has permitted the study of the
inner cross-section of MOSFET for modelling via
finite volume simulation and the voids effects inside
the solder joints can be correlated to the common
approach of effective thermal conductivity (Fladis-
cher et al., 2018). Actually, there are studies for
avoiding the voids on Power MOSFET’s as well as
the methods for the optimization of the join soldiers
and the procedures for their evaluation (Tran et al.,
2017b; Wild et al., 2017).
The x-ray technique is a method for determining
solder voids, joints, bridging, missing parts, trench
structures by analyzing the exposed silicon area to
improve the performance of devices. However other
defects such as broken solder joints are not easily
detectable by x-rays (Ruifen et al., 2014; Saxena &
Kumar, 2012; DirectFET-Technology, 2017b). The
x-ray method can detect some types of voids such
as macrovoids with a diameter varying between 100
µm and 300 µm and microvoids with a diameter be-
low 50 µm (Lang, 2017; Bu
ˇ
sek et al., 2016).
The x-ray scan and simulations of voids on the
MOSFET grid with their physical and thermal pa-
rameters have an impact on the operation of the de-
vice considering that corner voids are more danger-
ous than centre defects located below the center of a
MOSFET chip and the voids spreading on the grid
mesh solder which have less impact on the operation
of the MOSFET (Chen et al., 2008).
Currently, there are commercial software pack-
ages incorporated in computer tomography equip-
ment for x-ray inspection, software for statisti-
cal analysis, algorithms for improving void detec-
tion and freeware for the manual analysis of voids
(GEInspection-Technologies, 2017; Wild et al.,
2017; Said et al., 2010; Easton et al., 2008).
There are processing image techniques for auto-
mated void defect detection for poor contrast x-
ray images which permits contrast enhancement and
eliminates the false voids while true voids are not
significantly affected (Ruifen et al., 2014).
Nowadays the image processing tools enable fast
and accurate void segmentation in the die-attach re-
gions on power transistor for means of X-ray mon-
itoring of imperfect power transistor die soldering,
permitting the determination of the most common
void parameters such as void area, void distribution
and shape roundness (Sesek et al., 2019).
http://novasinergia.unach.edu.ec 41
2 Methodology
The investigation was made using a Power MOS-
FET (N-channel STP20N95K5, STMicroelectron-
ics) and using the SEM method as a preliminary
technique and microtomography procedure as an
NDI method.
2.1 Scanning Electron Microscopy
with Energy Dispersive
Spectroscopy
The unpacking of the Power MOSFET was carried
out by applying a heat gun to remove the exter-
nal package, according to the manufacturer’s rec-
ommendations. The preheating rate was 2
C per
second until a temperature of 125
C, was reached.
Afterwards, the temperature was increased to 220
C
during 6 seconds for unpacking the device, consid-
ering 260
C is the maximum peak welding tem-
perature for this device (STMicroelectronics, 2019),
then the interior of the device was corroded using
hydrochloric acid diluted at 60% on distilled water
(see figure 1).
Scanning electron microscopy with energy disper-
sive spectroscopy (SEM-EDS) for elemental analy-
sis and surface morphology of solid materials, the
SEM generates the microphotographs of the rough-
ness, topography of the sample; the elemental anal-
ysis is obtained by EDS, which facilitates the ele-
mentary quantification of the sample (see figure 2)
(Holt & Joy, 1989).
Figure 1: Inner structure of Power MOSFET after un-
packing procedure. (a) The current Power MOSFET. (b)
Power MOSFET without package, (1) Metallic drain, (2)
Silicon layer, (3) Lead solder layer, (4) External package.
Figure 2: SEM-EDS results of inner structer of Power
MOSFET. (a) Silicon layer. (b) Nickel layer. (c) Carbon
layer. (d) Lead solder layer.
2.2 Microtomography Laboratory
The micro Computed Tomography (µ-CT) scan was
carried out at the Microtomography Laboratory at
the University of Calabria, Italy. As in figure 3,
the Microtomography experimental station consists
of three precision optical tables (Thorlabs model
B6090B), equipped with a microfocus X-ray source
(Hamamatsu L12161-07) with a voltage range from
0-150 kV and a variable focus mode which can
reach 5 µm at 4 W on a small focus operation. The
motorized structure consists of two motion cradles
(PI model WT-90), a rotator (PI model PRS-110),
and two motors for linear translation (models PI
LS-180 and LS-270). It uses a flat panel detector
(Hamamatsu C7942SK- 05) with a maximum value
of 150 kVp and a resolution of 5.4 Mpixels (pixel
size 50 x 50 µm). The control system permitted the
sample-under-test (SUD) moving, using five high
precision stepper motors; the image acquisition by
means of a flat panel detector, subsequently made
the 2D reconstruction using N-Recon and 3D image
reconstruction using the ImageJ freeware tool.
2.3 Microtomography Technique
The microtomography technique uses a cone-beam
geometry which is advantageous for obtaining di-
rectly reconstructed 3D images from a set of 2D
projections recorded by a detector (Machin &
Webb, 1994; Turbell, 2017). The reconstruction
process was made using phase retrieval to obtain a
http://novasinergia.unach.edu.ec 42
Figure 3: Microtomography Experimental Station used in
non-destructive inspection of Power MOSFET.
cross-section 2D image from the sample and result-
ing in a 3D dataset (Vlassenbroeck et al., 2007).
The 3D X-ray µ-CT provides a powerful non-
invasive alternative solution for these problems as-
sociated with failure analysis (Pendleton et al.,
2008). The microtomography permits NDI of some
electronic devices without causing damage to them
and allows their subsequent utilization. The cone
beam µ-CT uses a variable range of energies and
resolutions of a few microns, which permits the in-
spection of the inner structure of the electronic de-
vice and gives a fast look inside the 2D projections,
which following their reconstruction, allows a 3D
rendering from the object to be obtained a 3D ren-
dering from the object (Hanke et al., 2008). Figure
4 depicts a single void of lead solder and figure 5
shows cross-section of Power MOSFET after NDI
inspection.
Before the µ-CT test was obtained, the optimum
magnification, energy and position of the Power
MOSFET was determined and the setup of the µ-CT
station for acquiring the best contrast. The Power
MOSFET was placed on suitable a sample holder
while verifying which package area was to irradi-
ated for at least 15 % of photon transmission. The
acquisition parameters were 140 kV, 71 µA, 2000
ms of exposure time, 0.2 mm rotation step and 6 of
magnification.
The 2D reconstruction was obtained by using the
NRecon software (free-ware version), the standard
reconstruction parameters were: smoothing factor =
4, beam hardening correction = 10 % and ring arte-
fact reduction = 10.
The 3D reconstruction involved routines of ImageJ
software, a FTT band-pass filter was applied for
defining the spatial frequency domain of lead solder
3D image and final application of a segmentation
procedure by selecting a grey level range.
Figure 4: Single Void of lead solder after NDI. (a) Or-
thogonal View. (b) 3D Rendering.
Figure 5: Cross-section of Power MOSFET after NDI in-
spection. (1) Metallic Drain. (2) Solder Layer. (3) Single
Void. (4) Silicon Layer.
2.4 Image Processing
The software was developed over LabView platform
using IMAQ Vision Library (National-Instrument,
2017), it was developed for 3D images and 2D pla-
nar radiographs (See figure 6 and figure 7) respec-
tively, permitting in real-time analyze the voids. Be-
fore acquisition was verified manually the region of
interest of Power MOSFET was perpendicular to the
flat panel sensor.
As the program accepts an 8-bit image at a time, the
first step was to acquire a 3D image on a TIFF for-
mat of the voiding area (figure 7). After the acquisi-
tion was completed a template for the calibration of
the image using a real scale was used (figure 10), in
order to calibrate the distortion regions and fix the
correct angle and its dimensions. The image cali-
bration involved extracting the grid features by se-
lecting the square form and threshold parameters for
each image and looking for dark objects using the
background correction method with a kernel size of
56 x 56, the region of interest was 1 x 1 and the valid
dot area of 10 - 5000; the valid circularity was 0.8 -
1.2 origin calibration axis and ignoring any objects
http://novasinergia.unach.edu.ec 43
with regions that touched the chip’s borders. Speci-
fied grid parameters were x: 680 µm, y: 680µm and
the distortion model was based on the polynomial
K1 model, which permitted a review of the calibra-
tion results as being acceptable, with a distortion of
0.107 % and a standard deviation of 0.04. The cal-
ibrated image was filtered using a convolution lin-
ear filter; the calculations were made using a float-
ing point number with a 7 kernel dimension. Af-
ter, the automatic threshold detection permitted the
voids detection and extracting their quantitative in-
formation such as perimeter, area, and mass center.
As in figure 8 shows the graphic user interface for
the advanced mode menu, which permits the calcu-
late the number of macrovoids and microvoids, the
voids percentage respect of the total area, the aver-
age mass center, the maximum and minimum void
measure, and the histogram that represent the per-
cent of voids respect their area.
Figure 6: Front Panel of 3D images of voids on lead sol-
der.
Figure 7: Front Panel of 2D voids images of voids on lead
solder.
Figure 8: Advanced Mode Menu of lead solder details.
3 Results
Figures 9-10 depict the image of the lead solder and
illustrate the calibration template used for process-
ing of the image, respectively. Figure 11 shows the
resulting lead solder image following the calibration
procedure adjusted to real scale and tilt. The sol-
der layer and its voids are better depicted after con-
volution filtering in figure 12, and figure 13 shows
the automatic threshold for voids over lead solder.
The selection and improve filter is a crucial point
for voids detection. After the test the device passed
the quality control with approximately 2.2 % (fig-
ure 6), where the microvoids had no considerable
impact on the overall percentage of defects (0.3 %
microvoids vs 99.68 % macrovoids) (figure 8). Fig-
ure 15 shows the graph of the voiding mass center
for each void of lead solder, figure 16 depicts the
graphic of the macrovoids mass center and figure 17
illustrates the microvoids mass center on the solder
layer.
The program was developed for calculating the per-
centage of voids based on its pixel value, has ob-
tained a percentage of 2.195 % although using real
measurements from image calibrated template the
percentage was of 2.175 %. Verified the impor-
tance of calibrated image for obtaining more exact
results due to calc using pixel value can truncated or
rounded some voids results.
Figure 18(a) corresponds to the 2D radiograph
of the source contact from a Power MOS-
FET with DirectFET technology (DirectFET-
Technology, 2017b), whereas figure 18(b) shows
the result after thresholding with a lower value of
82 and an upper value of 255 (See figure 5). The
amount of voids obtained was 12.11 %, a result
which is very similar to that obtained by the manu-
facturer with values in the range of 12-13 %. Figure
19 shows the void’s histogram representing the void
statistics by area.
http://novasinergia.unach.edu.ec 44
Figure 9: 3D lead solder image of Power MOSFET.
Figure 10: 2D calibration template of lead solder image.
Figure 11: 3D lead solder image of Power MOSFET after
calibration.
4 Conclusions
The methodology used permitted for the first time
the non-destructive inspection of the inner struc-
ture of STP20N95K5 Power MOSFET using the
microtomography technique for quantifying macro
Figure 12: 3D lead solder image of Power MOSFET after
filtering.
Figure 13: 2D voids threshold image over 3D lead solder
image of Power MOSFET.
Figure 14: Binary image after automatic threshold over
3D lead solder image of Power MOSFET.
and microvoids and their location on the lead sol-
der by using a software on LabView. The 2D im-
ages generated as a result of the microtomography
technique permitted a 3D reconstruction of the de-
vice and showed in detail its inner structure, spe-
cially the solder layer and their voids through 3D
image segmentation. The methodology applying in
http://novasinergia.unach.edu.ec 45
Figure 15: Voiding Mass Center plot of lead solder after
thresholding.
Figure 16: Macrovoids Mass Center plot of lead solder
after thresholding.
this research can be used for high-quality produc-
tion of devices even further, in-line inspection, how-
ever, the time of the inspection is long.
The results demonstrated which the Power MOS-
FET manufactured by STMicroelectronics have
Figure 17: Microvoids Mass Center plot of lead solder
after thresholding.
Figure 18: 2D Radiograph of Power MOSFET - Source
Contact. (a) Left Source Contact. (b) Threshold image.
Figure 19: Voids Histogram, the graph depicts the per-
centage of voids on y-axis; the x-axis represents the voids
area. Each bar graph represents a void interval with the
range going from the minimum to the maximum area.
high standards of quality due to the low impact of
voids its operation ( 2.2 %), considering the max-
imum permitted is 25 %.
This work demonstrates that the µ-CT could be
employed in industrial applications as the quality
conytrol method and for characterization of the con-
structive process. Therefore, the quantitative results
obtained with this software can represent a good
guide to designing innovative devices.
Future work can include improving this sensitive
non-destructive inspection system by directly scan-
ning the voids in the 2D planar images.
http://novasinergia.unach.edu.ec 46
References
Bajenescu, T. & Bazu, M. (1999). Reliability of Elec-
tronic Components: A Practical Guide to Electronic
System Manufacturing. New York: Springer-Verlag, 1
edition. DOI 10.1007/978-3-642-58505-0.
Bu
ˇ
sek, D., Du
ˇ
sek, K., R
˚
u
ˇ
zi
ˇ
cka, D., Pla
ˇ
cek, M., Mach,
P., Urb
´
anek, J. & Star
´
y, J. (2016). Flux effect on void
quantity and size in soldered joints. Microelectronics
Reliability, 60(Supplement C), 135–140.
Chen, L., Paulasto-Krockel, M., Frohler, U., Schweitzer,
D. & Pape, H. (2008). Thermal impact of randomly dis-
tributed solder voids on Rth-JC of MOSFETs,. 2008
2nd Electronics System-Integration Technology Con-
ference.
DirectFET-Technology (2017a). DirectFET Tech-
nology Inspection Application Note. Retrieved
from http://www.irf.com/technical-info/appnotes/an-
1080.pdf.
DirectFET-Technology (2017b). Recommendations for
Printed Circuit Board Assembly of Infineon SON Pack-
ages. Retrieved from https://www.infineon.com/.
Dusek, K., Vlach, J., Brejcha, M., H
´
ajkov
´
a, L., Pavel, Z.
& Pop
´
ısil, L. (2013). Influence of humidity on voids
formation inside the solder joint. Advanced Science,
Engineering and Medicine, 5(6), 543–547.
Easton, J., Struk, P. & Rotella, A. (2008). Imaging and
Analysis of Void-Defects in Solder Joints Formed in Re-
duced Gravity Using High-Resolution Computed To-
mography,. 46th AIAA Aerospace Sciences Meeting
and Exhibit.
Fladischer, K., Mitterhuber, L., Kraker, E., Ginter, D.,
Rosc, J. & Magnien, J. (2018). A Close Look on Voids
in Solder Joints. 2018 24rd International Workshop
on Thermal Investigations of ICs and Systems (THER-
MINIC).
GEInspection-Technologies (2017). Solder joint inspec-
tion and analysis. PCBA Brochure, Retrieved from
https://www.gemeasurement.com/.
Hanke, R., Fuchs, T. & Uhlmann, N. (2008). X-ray
based methods for non-destructive testing and material
characterization. Nuclear Instruments and Methods in
Physics Research Section A, 591(1), 14–18.
Holt, D. & Joy, D. (1989). SEM Microcharacterization of
Semiconductors, volume 12. Academic Press Inc., San
Diego, CA 92101, 1 edition. An optional note.
Katsis, D. & Vanwyk, J. (2006). A thermal, mechanical,
and electrical study of voiding in the solder die-attach
of power mosfets. IEEE Transactions on Components
and Packaging Technologies., 29(1), 127–136.
Kim, Y. C., Kim, J., Choy, J. H., Park, J. C. & Choi,
H. M. (1999). Effects of cobalt silicidation and postan-
nealing on void defects at the sidewall spacer edge of
metal–oxide–silicon field-effect transistors. Applied
physics letters, 75(9), 1270–1272.
Lang, D. (2017). AN-9037 - Assembly Guidelines
for 8x8 MLP DriverMOS Packaging. Retrieved
from http://www.onsemi.com/pub/Collateral/AN-
9037.pdf.pdf.
Machin, K. & Webb, S. (1994). Cone-beam x-ray micro-
tomography of small specimens. Physics in Medicine
& Biology, 39(10), 1639.
Manikam, V. R., Paing, S. & Ang, A. (2013). Effects of
soft solder materials and die attach process parame-
ters on large power semiconductor dies joint reliabil-
ity. 2013 IEEE 15th Electronics Packaging Technology
Conference (EPTC 2013).
National-Instrument (2017). IMAQ Vision for
LabVIEW. Worldwide Technical Support
and Product Information, Retrieved from
http://www.ni.com/pdf/manuals/371007a.pdf.
Pendleton, T., Hunter, L. & Lau, S. H. (2008). Noninva-
sive Failure Analysis of Passive Electronic Devices in
Wireless Modules Using X-ray Microtomography (Mi-
croCT). Conference Proceedings from the 34th Inter-
national Symposium for Testing and Failure Analysis.
Ruifen, Z., Tat, Y. K., Huei, Y. L. & Dexter, R. (2014).
How to improve void performance in wafer bumping.
2014 IEEE 16th Electronics Packaging Technology
Conference (EPTC).
Saggio, M., Fagone, D. & Musumeci, S. (2000).
MDmesh
TM
: innovative technology for high voltage
Power MOSFETs. 12th International Symposium on
Power Semiconductor Devices ICs. Proceedings (Cat.
No.00CH37094).
Said, A. F., Bennett, B. L., Karam, L. J. & Pettinato,
J. (2010). Robust automatic void detection in solder
balls,. 2010 IEEE International Conference on Acous-
tics, Speech and Signal Processing.
Saxena, S. & Kumar, M. (2012). Advances in Microelec-
tronics and Photonics, chapter 1, pp. 1–23. Nova Sci-
ence Publishers Inc.
Sesek, A., Chambers, O. & Trontelj, J. (2019). Study on
the die-attach voids distribution with x-ray and image
processing techniques. ASME. J. Electron. Packag.,
141(2), 1–7.
STLife-Augmented (2017). N-channel 950 V, 0.275
typ., 17.5 A MDmesh
T M
K5. Power MOSFETs in
D
2
PAK, TO-220FP, TO-220 and TO-247, Retrieved
from http://www.st.com.
STMicroelectronics (2019). Rectifiers thermal manage-
ment, handling and mounting recommendations. Re-
trieved from https://www.st.com/.
http://novasinergia.unach.edu.ec 47
Tran, S., Dupont, L. & Khatir, Z. (2017a). Evaluation
of multi-void and drain metallization thickness effects
on the electro thermal behavior of si mosfet under for-
ward bias conditions. 2017 19th European Conference
on Power Electronics and Applications (EPE’17 ECCE
Europe), pp. 1–10.
Tran, S. H., Dupont, L. & Khatir, Z. (2017b). Electrother-
mal evaluation of single and multiple solder void ef-
fects on low-voltage si mosfet behavior in forward bias
conditions. IEEE Transactions on Components, Pack-
aging and Manufacturing Technology, 7(3), 396–404.
Tulevski, G. S., Nuckolls, C., Afzali, A., Graham, T. O.
& Kagan, C. R. (2006). Device scaling in sub-100 nm
pentacene field-effect transistors. Applied physics let-
ters, 89(183101).
Turbell, H. (2017). Cone-Beam Reconstruction Using Fil-
tered Backprojection. Retrieved from http://www.diva-
portal.org/smash/get/diva2:302800/FULLTEXT01.pdf.
Vlassenbroeck, J., Dierick, M., Masschaele, B., Cnudde,
V., Van Hoorebeke, L. & Jacobs, P. (2007). Software
tools for quantification of x-ray microtomography at
the ugct. Nuclear Instruments and Methods in Physics
Research Section A: Accelerators, Spectrometers, De-
tectors and Associated Equipment, 580(1), 442 – 445.
Wild, P., Gr
¨
ozinger, T., Lorenz, D. & Zimmermann, A.
(2017). Void formation and their effect on reliability
of lead-free solder joints on mid and pcb substrates.
IEEE Transactions on Reliability, 66(4), 1229–1237.
http://novasinergia.unach.edu.ec 48