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  1. (Department of Electrical and Computer Engineering, Seoul National University, Seoul 08826, Republic of Korea)
  2. (Department of Automotive Engineering, Hanyang University, Seoul 04763, Republic of Korea)



Thermal interface material, thermal resistance, indirect cooling, double-sided cooling power module

I. INTRODUCTION

As global interest in sustainable green energy continues to grow, the automotive industry is undergoing significant transformations, particularly with the rapid expansion of electric vehicles (EVs) and hybrid electric vehicles (HEVs) [1]. This trend has driven a surge in demand for high-performance power semiconductors, essential components in power electronic systems. These advancements have led to increased power density and higher heat generation in power modules [2], which are critical for energy conversion in xEVs. However, excessive heat generation presents significant challenges, as it can reduce efficiency, compromise reliability, and shorten the lifespan of power semiconductors [3].

To address these challenges, two advanced cooling strategies are commonly used in commercial automotive power modules. The first is direct single-sided cooling (Fig. 1(a)), which eliminates the use of thermal interface materials (TIMs) [4]. The second is double-sided cooling (DSC), shown in Fig. 1(b), which provides bidirectional heat dissipation paths. However, most commercial DSC modules rely on TIMs to fill air gaps between contact surfaces [4,5,6]. While TIMs have higher thermal conductivity than air, their relatively low conductivity still introduces significant thermal resistance, limiting the overall performance of indirect DSC structures [7].

Previous studies have shown that even with DSC structures, thermal resistance is only partially reduced when TIMs are used [6,8,9]. As the thermal conductivity of commercial TIMs remains insufficient, which often fails to yield proportional reductions in thermal resistance. Direct single-sided cooling, which avoids TIMs altogether, has been reported to offer comparable thermal performance to indirect DSC cooling, despite requiring a more complex cooler design and integration process.

Efforts to enhance indirect DSC performance through structural modifications, such as adjusting fin dimensions and locations, have shown partial success [8,9]. Some recent studies demonstrated that advanced pin-fin designs, which introduce a new design named tilted rounded-rectangular fin, can achieve thermal resistance lower than that of direct cooling designs, even in indirect cooling configurations [7].

Nevertheless, one of the major challenges in DSC power modules is attributed to the inherent limitations of commercial TIMs [6,7]. Therefore, this study focuses on analyzing the contribution of TIM characteristics, such as thermal conductivity and thickness, to the thermal resistance of an indirect DSC power module structures. Using finite element analysis (FEA), this work investigates how adjustments to TIM properties can improve thermal performance, attempting to provide insights into the trends and potential improvements achievable in indirect DSC modules.

Fig. 1. Structure of (a) direct single-sided cooling and (b) indirect double-sided cooling.

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II. THERMAL PERFORMANCE ENHANCEMENT OF INDIRECT DOUBLE-SIDED COOLING STRUCTURE

1. Evaluation Criteria for Thermal Performance of Power Modules

When evaluating the thermal performance of a power module, one of the key factors is thermal resistance ($R_{th}$). Thermal resistance quantifies the property that hinders heat transfer and serves as a metric for assessing thermal performance. The lower the thermal resistance, the more effectively heat can be dissipated, which in turn enhances the performance and reliability of the power module. $R_{th}$ is defined by the following equation:

(1)
$ R_{th}=\frac{T_x -T_y}{P}. $

In this equation, $T_{x}$ and $T_{y}$ represent the temperatures at points ${x}$ and ${y}$, respectively, while ${P}$ refers to the power loss.

2. Improving Thermal Resistance of Indirect DSC structure through TIMs Improvement

This section aims to explore methods to improve the thermal performance of the indirect DSC structure. By examining these material properties, essential input parameters and boundary conditions are established for FEA simulations. To analyze the thermal resistance based on TIMs, another equation for thermal resistance is defined as follows:

(2)
$ R_{th}= \frac{L}{A*k}. $

In this equation, ${L}$ is thickness in this model and refers to the distance along the path through which heat is transferred. ${A}$ is area and represents the surface area through which the heat is transferred. ${k}$ is thermal conductivity, which indicates the material's ability to conduct heat, or how efficiently heat can be transferred from one point to another.

To reduce the thermal resistance of the TIMs, adjustments to thickness, area, and thermal conductivity are considered based on the thermal resistance equation (2). However, since the area refers to the surface through which heat is transferred, simply increasing the area of the structure along the heat path does not necessarily reduce thermal resistance. Therefore, to better understand the impact of TIM properties, simulations are conducted by varying thickness and thermal conductivity to analyze their effects on thermal resistance.

III. POWER MODULE MODELING AND FEM ANALYSIS

1. Power Module Modeling

In Fig. 2, simulation models of the direct single-sided cooling and indirect DSC structures are shown with the encapsulation removed for better visualization of the internal structures. The model in Fig. 2(a) stacks the direct bonding copper (DBC) and die on top of a heatsink, covered with encapsulation. The DBC comprises copper layers bonded to both sides of a ceramic substrate, offering a stable thermal and electrical interface for power devices.

The model in Fig. 2(b) adds an additional spacer and DBC layer on top. Sintering is used for die attachment, while solder is used for all other connections. Fig. 3 presents the dimensions of the SiC MOSFET and the bottom DBC [10]. The spacer is designed to match the die's source pad. The DBC copper size is designed as $16 \times 16 \times 0.3$ mm, and the heatsink is designed with dimensions of $30 \times 30 \times 5.5$ mm. The material properties used in the model are listed in Table 1 [11,12].

Fig. 2. The simulation models of (a) direct single-sided cooling and (b) indirect DSC, shown with encapsulation removed for better visualization of internal structures.

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Fig. 3. Top view dimensions of SiC MOSFET and bottom DBC with top DBC and spacer omitted.

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Table 1. Thermal conductivities of the materials used for the simulation.

Material

Thermal conductivity

Silicon carbide

370 W/m∙K

Copper

400 W/m∙K

AlN

285 W/m∙K

Cu60Mo40

290 W/m∙K

Ag

240 W/m∙K

Solder_VACNT

59.7 W/m∙K

EMC

0.05 W/m∙K

2. Improving TIMs for Enhanced Thermal Performance

In Eq. (2), methods to improve the thermal resistance of the TIMs include adjusting the thickness and thermal conductivity. Simulations will be conducted using the TIMs listed in Table 2 to analyze their impact. The T670 has a thickness of 0.025 mm, which is thinner than the conventional TIM, while the 59M39F2P has a thermal conductivity of 64 W/mK, which is higher than that of the conventional TIM [13,14]. Among the TIMs tested, THERMAL-A-GAP30 served as a conventional TIM and experiments are conducted with TIMs designed with reduced thickness (T670) and increased thermal conductivity(59M39F2P) to decrease thermal resistance. Although promising, the 59M39F2P has not yet been commercialized and remains the subject of ongoing research [14].

Table 2. TIMs properties.

Name

Types

Thickness

(mm)

Thermal

Conductivity (W/mK )

THERMAL

-A-GAP30

Gel

0.1

3.5

T670

Thermal

Grease

0.025

3

59M39F2P

Advanced TIM

0.15

64

3. Conditions for FEM Analysis

Simulations are conducted using Ansys Mechanical software, incorporating device power loss as the heat source and heat dissipation through the two heatsinks, with the heat transfer coefficient applied as the boundary condition. In our indirect DSC model, SiC chip is assumed to generate a power loss of 313 W.

For the cooling condition, a convective heat transfer coefficient of 24,000 W/m$\cdot$K is applied to both the top and bottom heatsinks for the double-sided cooling structure. This coefficient is selected based on the assumption of a fluid-cooled heatsink. Since this work does not include thermo-fluidic simulations or flowing coolant [7], the junction-to-ambient thermal resistance is used as the performance measure.

IV. SIMULATION RESULTS AND DISCUSSION

The simulation results are shown in Fig. 4. The analysis of the results indicated that the conventional TIM used in the indirect DSC model exhibits a thermal resistance of 0.489 K/W, which is higher in comparison to the direct single-sided cooling model, which has a thermal resistance of 0.453 K/W. However, notable improvements are observed with T670 and 59M39F2P.

The model using T670 with reduced thickness shows a thermal resistance of 0.394 K/W, which is significantly lower than the two models Figs. 4(a) and 4(b). TIM is used to fill the air gaps between two metal surfaces due to its higher thermal conductivity compared to air. However, if the TIM is not thick enough, it may not fully fill the air cavity that forms between the two metals. Since air has a very low thermal conductivity of 0.026 W/mK, this can significantly increase thermal resistance, thus limiting the extent to which thickness can be reduced. Therefore, the focus is shifted to analyzing thermal resistance based on the thermal conductivity of the TIMs.

The model using advanced TIM with high thermal conductivity also shows an improved thermal resistance of 0.348 K/W. It is observed that high thermal conductivity can enhance the cooling performance of double-sided cooling. Therefore, more simulations are conducted to examine the changes in thermal resistance with varying thermal conductivity.

The graph illustrating the relationship between thermal conductivity and thermal resistance is shown in Fig. 5. A steep initial decrease in thermal resistance is observed, which gradually saturated. Thermal resistance shows a steep decrease as thermal conductivity increases up to around 30 W/mK, and beyond that, the impact appears minimal.

Currently, commercially available TIMs typically have a thermal conductivity substantially lower than 30 W/mK. While some TIMs with superior thermal conductivity, such as the evaluated 59M39F2P [15], have been reported, they remain at the research stage and are not yet commercially available. Therefore, from an availability perspective, it would be beneficial to target a TIM with a thermal conductivity exceeding 30 W/mK for commercialization.

Fig. 4. The simulation results of (a) direct single-sided cooling, (b) indirect DSC with THERMAL-A-GAP30, (c) T670, and (d) 59M39F2P are shown with encapsulation and heatsink removed.

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Fig. 5. Thermal resistance as a function of TIM thermal conductivity.

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V. CONCLUSION

In this study, we investigate the reason why the direct single-sided cooling structure exhibits better thermal performance compared to the indirect DSC structure, despite the latter dissipating heat from both sides. The key factor identified is TIMs and we explore methods to improve its performance by adjusting the thickness and thermal conductivity. Simulations are conducted based on these parameters, with a particular focus on how thermal conductivity affects thermal resistance. As shown in Fig. 5, thermal resistance decreases significantly when the thermal conductivity of the TIM is below 30 W/mK. However, when it exceeds 30 W/mK, the rate of decrease slows and eventually reaches saturation. Based on these results, it appears reasonable to target a TIM thermal conductivity of approximately 30 W/mK.

ACKNOWLEDGMENTS

This work was supported by the National Research Foundation of Korea (NRF) through the Korea Government (MSIT) under Grant 2023R1A2C2006661 and Grant RS-2023-00207865. The authors appreciate the support from Inter-university Semiconductor Research Center, Seoul National University, Korea.

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Ji Yong So
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Ji Yong So received his B.S. degree in automotive engineering from the Hanyang University, South Korea in 2021. He is currently working toward a unified master's and doctor's degrees with the Department of Electrical and Computer Engineering, Seoul National University, Seoul. His current research interests include advanced packaging and power module packaging.

Young-Doo Yoon
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Young-Doo Yoon was born in South Korea. He received his B.S., M.S., and Ph.D. degrees in electrical engineering from Seoul National University, Seoul, South Korea, in 2002, 2005, and 2010, respectively. From 2010 to 2013, he was with Samsung Electronics Company, South Korea, as a Senior Engineer. From 2013 to 2017, he was an Assistant Professor with the Department of Electrical Engineering, Myongji University, Yongin, South Korea. Since 2017, he has been a Faculty Member of the Department of Automotive Engineering, Hanyang University, Seoul, South Korea, where he is currently a Professor. His research interests include power electronic controls of electric machines, high power converters, electric vehicles, and electric home appliances.

Sang Won Yoon
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Sang Won Yoon received his B.S. degree in electrical engineering from Seoul National University, Seoul, Korea, in 2000 and his M.S. and Ph.D. degrees in electric engineering and computer science from University of Michigan, Ann Arbor, MI, USA, in 2003 and 2009, respectively. From 2009 to 2013, he was a Senior Scientist and a Staff Researcher at the Toyota Research Institute of North America, Ann Arbor, MI, USA, where he conducted research in power electronics and sensor systems for automobiles. From 2013 to 2023, he was Assistant Professor, Associate Professor, and Professor in the Department of Automotive Engineering, Hanyang University, Seoul, Korea. Since 2023, he has been with the Department of Electrical and Computer Engineering at Seoul National University, Seoul, Korea. His research interests include packaging and reliability of semiconductors, electronics for mobility, and their applications.