Numerical modelling of a high temperature power module

  technology with SiC devices for high density power electronics

  Abstract

  This paper presents the development of a new packaging technology using silicon carbide

  (SiC) power devices. These devices will be used in the next power electronic converters.

  They will provide higher densities, switching frequencies and operating temperature than

  current Si technologies. Thus the new designed packaging has to take into account such

  new constraints. The presented work tries to demonstrate the importance of packaging designs

  for the performance and reliability of integrated SiC power modules. In order to increase

  the integrated density in power modules, packaging technologies consisting of two

  stacked substrates with power devices and copper bumps soldered between them were proposed

  into two configurations. Silver sintering technique is used as die-attach material solution.

  In order to assess the assembling process and robustness of these packaging designs,

  the thermo-mechanical behaviour is studied using FEM modelling. Finally, some recommendations

  are made in order to choose the suitable design for reliable power modules.

  1. Introduction

  The emergence of wide band gap semiconductors such as SiC enables power converters to

  operate at high switching frequency with better power conversion efficiencies and at temperatures

  beyond 200°C. The switching frequency defines primarily the size of passive components,

  such as inductors and transformers, used in converters for transient storage and filtering.

  A significant weight reduction can be expected. Moreover, the cooling requirements are

  much less stringent, and wide band gap semiconductors allow us to reduce the cooling system,

  eading to improvements in power density. This also contributes to the expected weight

  reduction.

  To achieve the high density integration requirements for SiC power devices, classical aluminium

  wire bonding is replaced by copper bump interconnection in the superposition of two

  substrates in a sandwich. Firstly, bump interconnections have a larger diameter than the wire

  bonds and hence less parasitic inductance. They also offer the potential of lower resistance.

  The current capability is also increased. Secondly, they offer two thermal paths to dissipate

  the heat to the substrates. They play the role of thermal drain and stand-off elements between

  substrates for electrical isolation after gel filling [1]. This packaging solution improves

  the electrical and thermal characteristics, reduces the packaging size and present more

  power integration possibilities [2]. In order to realize reliable sandwich packaging, several

  high temperature solder alloys using low temperature processes are identified. Among these

  processes, there is the nano or micro-paste silver sintering technique. These processes

  could minimize the thermo-mechanical stresses and increase the reliability in high temperature

  operation [3]. In this work, the sintered silver is studied as solder joint to ensure the dieattach

  and also the bump interconnections. The process combines a low pressure to decrease

  the porosity ratio in the joint and a fixed temperature profile between 275°C and

  325°C during 10 min. The temperature is chosen according to the metal powder.

  The objectives of this paper are to assess the reliability of sandwich packaging technologies.

  Thus their thermo-mechanical behaviours were calculated and compared under thermal cycling

  between -40°C and +185°C. These results take into account the residual stresses induced

  by the sintering process at 275°C.

  2. Assembly technologies

  2.1. Sandwich packaging

  The sandwich packaging consists in stacked substrates with semiconductor devices between

  them. The solder bump technique is used to realize the device top-side interconnections

  such as flip-chip BGA interconnects [4]. If the process is made by soldering, it usually

  requires three successive reflow phases and hence three different solder alloys with different

  melting temperatures. For the new high temperature power module, the successive reflow

  phases constitute an issue. For example, the range of available temperatures for the assembly

  process is much smaller, because the semiconductor devices have a maximum process

  temperature. This is of course directly linked with solder alloys allowed. To bypass the

  difficulty, the proposed packaging technology consists in using low temperature sintering instead

  of soldering, with silver paste. This assembly process is applied to minimize the thermal

  stresses induced by a multi-reflow process. However, particular designs are required to

  ensure large contact areas so as to achieve reliable assemblies, and to reduce the thermomechanical

  stresses concentration in the bump interconnections during the assembling process.

  2.2. Silver sintering process

  Low temperature sintering technique is an approach for high temperature lead-free solders.

  This technique uses silver paste as die-attach and bump solder. It can be achieved by three

  ways. The first way consists in using a silver micro-paste which is heated at 250°C with an

  applied hydrostatic pressure from 20 MPa to 40 MPa to increase the joint density [5]. The

  second way consists in using silver particles of a nano-scale. In such solution [6], the additional

  organic components such as solvent were selected so as to eliminate the applied

  pressure. In this case, silver nano-paste can be heated at 275°C to 325°C under standard

  atmospheric pressure and thus the density of sintered silver can reach 80% of bulk silver.

  Figure 1 shows the nano-silver sintering profile on gold (Au) and silver (Ag) metallization

  which is used in this study.

  Fig. 1. Nano-paste silver sintering profile on Au and Ag final metal on devices [7]

  The advantage of this technique is that once the silver nano-paste is sintered, it will have a

  high melting point such as bulk silver (961°C). Therefore this technique allows successive

  sintering operations. Consequently, the issue of using several eutectic solder alloys is removed.

  Another sintering technique has been newly developed by Heraeus and uses a silver

  micro-paste especially created for small die area less than 50 mm2. In such case no pressure

  is required and the sintering process is simplified. It could be in a single step.

  3. Numerical design and modelling

  3.1. Packaging designs

  Assembly configurations

  The assembly configuration selection is defined based on the assembly technology review

  literature. They allow higher integration levels and double-side cooling to improve the thermal

  management. The copper bump may vary in shape and size as illustrated in figure 2.

  Fig. 2. Elementary packaging designs for finite element models : Spherical copper bump (a) and

cylindrical copper bump (b)

  The geometries of elementary packaging structures are based on standard thicknesses

  used also in automotive and railway power modules. The power SiC devices are 440.4

  mm3, ceramic substrates are 660.64 mm3, the metallization is 200 μm height, the considered

  solder joints thickness is100 μm, truncated spherical bump is diameter 2 mm height

  1.5 mm and cylindrical bump is diameter 1 mm length 1 mm.

  Materials, thermal and mechanical parameters

  The materials used in these packaging studies are SiC for power devices, silicon nitride

  (Si3N4) for ceramic substrates with copper (Cu) as metallization and silver as sintered joint.

  The thermal and mechanical properties of these materials were extracted from literature re-garding

  their thermal conductivity, coefficient of thermal expansion, Young’s modulus, Poisson’s

  ratio …etc [8, 9], as presented in table below.

  3.2. Finite element modelling

  Materials constitutive law and parameters The model of the sintered silver joint is simulated

with Anand’s unified visco-plastic constitutive model [9]. Equations (1), (2) and (3) give the

formulation of Anand’s model [10]. It models s the inelastic deformation behaviour of the silver joint

used as die-attach and solder bump interconnection.

  Where is the inelastic strain rate, is the inelastic strain, Q is the activation energy, A is the

preexponential factor, is the multiplier of stress, m is the strain rate sensitivity, R is the gas

  constant, s is the coefficient of deformation resistance,

  is the equivalent stress and T is the absolute temperature. The quantity *s represents a saturation value of s.sˆ is a coefficient for the saturation value of deformation resistance. h is a strain hardening function.

  To complete the nine parameters of Anand’s visco-plastic model (see table below) [9], there

  are: the initial value of deformation resistance s0, the hardening constant h, the strain rate

  sensitivity of saturation value n and the strain rate sensitivity of hardening a. These parameters

  were identified between -40°C and 185°C.

  They have been assigned through the input for VISCO107 element in ANSYSTM software for

  the simulation.

  Thermal cycling load

  The packaging process and endurance are assessed using finite element method for two bump

configurations as shown in figure 3. In order to evaluate the robustness of these packaging

  designs, their thermo-mechanical behaviour is studied under 3 thermal cycling loads

  as shown in figure 3, taking into account the validity temperature range of previous Anand’s

  parameters. The profile begins at 25°C initial temperature, the ramp rate is 10°C/min and the

  dwell times are 15 min at -40°C and 185°C.

/"'Thermal

  Fig. 3. Thermal cycling profiles: -40°C, +185°C

  Assembling process coupled with thermal cycling load

  The simulation takes into account the residual stresses induced by the assembling process.

  In this paper only the last step of the silver sintering process is also simulated as shown in

  figure 4(b). That means a dwell time of 10 min at 275°C and a ramp rate of 20°C/min before

  starting the 3 thermal cycles described in figure 3. Thus a stress relaxation is applied after

  the sintering process during 24 hours at 25°C. After what, the thermal cycling load between 40°C

  and 185°C is conducted (figure 4(a)).

/"'Thermo-mechanical

  Fig. 4. Thermo-mechanical stress profile applied for simulation (a), zoom on assembling profile (b)

  3.3. Simulation results

  The stress distribution and the total mechanical strain are plotted after the assembling process

  and also at the end of the thermal cycling load. Thus the thermo-mechanical behaviour

  of each bump configuration is compared after assembling process and thermal cycles.

  Fig. 5. Stress distribution [Pa] 5(a) and mechanical strain 5(b) in cylindrical bump after

assembling process

  Fig. 6. Stress distribution [Pa] 6(a) and mechanical strain 6(b) in cylindrical bump at the end of 3

  thermal cycles

  Fig. 7. Stress distribution [Pa] 7(a) and mechanical strain 7(b) in spherical bump after

assembling process

  Fig. 8. Stress distribution [Pa] 8(a) and mechanical strain 8(b) in spherical bump at the end of 3

thermal cycles

  3.4. Influence of Solder bump geometry on packaging behaviour

  The simulation results show that the maximal strains are located in the silver sintered joints.

  Thus, the bump joint interface seems to be the more critical zone in the packaging. However,

  it can be noted that the spherical bump joint presents less strain level than a cylindrical one

  (=0.12% against =0.7%) after the assembling process, as shown on figures 5(b) and 7(b).

  At the end of thermal cycling loads, these values remain stable at respectively 0.12% and

  0.7% (figures 6(b) and 8(b)).

  Concerning the stress distribution, the cylindrical bump joint presents a maximal stress of

  about 34 MPa after the sintering process and also 34 MPa at the end of thermal loads (figures

  5(a) and 6(a)). While the spherical bump joint presents a maximal stress of 3 MPa (figures

  7(a)

  and 8(a)). These results show that the maximal stress distribution in the spherical

  configuration were more than 10 time lower than the cylindrical one. The results also confirm

  the evolution of the total mechanical strain during the thermal cycling loads. For each bump

  design, the stress-strain evolution is similar during the thermal-mechanical constraints.

  The bump designs with large contact areas appear to be suitable for sandwich packaging

  using silver sintered as solder joint solution (figure 2(a)).

  4. Conclusion

  The objective of this study was to evaluate new packaging technologies for high temperature

  and high power density SiC devices. In this study, these technologies were simulated with

  new developed materials and assembling process. The influence of die-attach and solder

  bump configurations were studied in order to meet the power applications requirements.

  In order to increase the power density, a technology consisting of two stacked substrates

  with power devices soldered between them, was proposed with good perspectives. The de-

  velopment of the new silver sintering techniques allows us to remove the use of several solder

  alloys.Hence, to assess reliable sandwich packaging, FEM modelling and simulation were

  conducted on two packaging configurations to evaluate and compare the thermo-mechanical

  behaviours. These calculations take into account the residual stresses induced by the

  assembling process.

  It could be noted that the solder bump design plays a fundamental role in the packaging             

assembly and reliability. Then, the results point-out the use of truncated spherical solder bump

  as the better solution.

  5. Literature

  [1] Calata, J. N., Bai, J. G., Liu, X., and, al.,, “Three dimensional packaging for power semiconductor

  devices and modules,” IEEE Transactions on Advanced Packaging, Vol. 28, no. 3, pp. 404-412,

  August 2005.

  [2] M. Mermet-Guyennet, “New structure of power integrated module,” CIPS 2006, Naples, June

  2006.

  [3] Bai, G., “Low-Temperature Sintering of Nanoscale Silver Paste for Semiconductor Device Interconnection,”

  PhD thesis, Virginia Polytechnic Institute and State University, Blacksburg, Virginia,

  October 2005.

  [4] X. Liu, S. Haque, and G.-Q. Lu, “Three-dimensional flip chip on flex packaging for power electronics

  application,”

  IEEE Trans. Adv. Packaging, vol. 24, no. 1, pp. 1–9, Feb. 2001.

  [5] Z. Zhang and G. Q. Lu, “Pressure-assisted low-temperature sintering of silver paste as an alternative

  die-attach solution to solder reflow,” IEEE Trans. Electron. Packaging. Manufacture, vol. 25,

  no. 4, pp. 279–283, Oct. 2002.

  [6] Zhang, Z., J. N. Calata, J. G. Bai, and G-Q. Lu. “Nanoscale Silver Sintering for High-Temperature

  Packaging of Semiconductor Devices.” in Proc. of 2004 TMS Annual Meeting & Exhibition. 2004.

  Charlotte, NC.

  [7] Guo-Quan Lu, J. N. Calata, G. Lei, and X. Chen, “Low-temperature and Pressure less Sintering

  Technology for High-performance and High-temperature Interconnection of Semiconductor Devices,”

  8th. Int. Conf. on Thermal, Mechanical and Multi-physics Simulation and Experiments in Micro-Electronics

  and Micro-Systems, EuroSime 2007

  [8] MatWeb, “The Online Materials Database” www.matweb.com .

  [9] Yu D. J., Gang C., Wang Z., and G-Q. Lu, “Applying Anand model to Low-Temperature sintered

  nanoscale Silver paste chip attachment,” Trans. On Materials and Design, 30: p. 4574 – 4579,

  2009.

  [10] J. Wilde, K. Becker, M. Thoben, W. Blum, T. Jupitz, G. Z. Wang, Z. N. Cheng, “Rate dependent

  constitutive relations based on Anand model for 92.5Pb5Sn2.5Ag solder,” IEEE Transactions on

  Advanced Packaging, Vol.23, no.3, pp.408-414, 2000

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