LLC Resonant Converter with 99% Efficiency for Data Center Server 2021 IEEE Applied Power Electronics Conference and Exposition (APEC) | 978-1-7281-8949-9/21/$31.00 ©2021 IEEE | DOI: 10.1109/APEC42165.2021.9487423 Rimon Gadelrab, Ahmed Nabih, Fred C. Lee and Qiang Li Virginia Tech Center for Power Electronics Systems (CPES) The Bradley Department of Electrical and Computer Engineering Virginia Tech, Blacksburg, VA 24061 rimongg@vt.edu Abstract— The new generation of processors for CPUs, GPUs and AI demand a significantly higher current level of 500A-1000 amperes. To accommodate this significant increase in power demand, the data center server rack must employ a 48V backplane power bus to deliver 25-30KW to its server processor. A state-ofthe-art silicon-based power module is demonstrated to offer 96% efficiency and a power density of around 40-50W/in3. In this paper, a wide-bandgap (WBG)-based LLC converter is demonstrated to have greatly improved efficiency and power density. Operating at 500KHz switching frequency, the circuit topology and design practice is a significant departure from the current practice. For example, a complicated transformer structure is broken down into a structure of three simple transformers that can be easily implemented using a form of fourlayer printed-circuit-board (PCB). Furthermore, these magnetic components are integrated into a compact structure that is easily manufacturable. By adding two additional shielding layers into the four-layer PCB, a 20db reduction in common-mode noises is realized over the entire frequency spectrum of interest, from 150 KHz up to 30 MHz. Two prototypes of 3kW, 48V DC/DC converters are demonstrated with a peak efficiency of 99% and a power density of 530 W/in3 (33 kW/L). (a) (b) Fig. 1. Comparison of Data Center Power Architectures: (a) Current Architecture with 12V Bus, and (b) Alternative Architecture with 48V Bus. The legacy of data center power architecture is illustrated in Fig. 1(a), where all major processor/memory devices are powered from a 12V bus. As shown, the i2R loss for a 12V bus is excessive. Furthermore, the uninterruptible power supply (UPS) is placed on the high-voltage AC side, which results in additional power conversion stages. The new data center power delivery architecture, as shown in Fig.1(b), is deemed to be a great improvement, as it offers a higher-voltage (48V) distribution bus, and eliminates the online UPS[6], [7]. For higher reliability and higher power density, the Open Compute Project (OCP) has proposed a 48V battery structure that matches the power of the power supply units (PSUs). It is either directly connected to the bus or connects through a regulated DC-DC converter (OCP V3)[10] [10]–[13]. The benefits of this architecture compared to the current practice [14] are: Keywords—planar transformer, integrated magnetics, LLC resonant converter, EMI shielding, data center, server, and telecom power supply. I. INTRODUCTION Due to its demonstrable efficiency and power density, the LLC resonant converter has been widely utilized in server and telecom applications as well as for low-profile power supplies used in flat panel displays [1]–[5]. It is popular also due to its inherent zero-voltage switching (ZVS) over the full load range for the high-side switches, and zero-current-switching (ZCS) / ZVS for the synchronous rectifiers (SRs). With ever-increasing demand for higher power in the new generation of processors, such as CPUs, GPUs and AI, the power demand at the data center rack level has increased from 10-15 KW to 25-30KW, with a 48V power bus at the back plane instead of the standard 12V bus [6]–[9]. This change marks a convergence between the telecom power structure and data center infrastructures, both of which place great emphasis on efficiency, power density and cost. 978-1-7281-8949-9/21/$31.00 ©2021 IEEE • • • • it saves redundant stages for the UPS; power flows naturally; it enables simple fixed-voltage rectifier design at the nominal output voltage; and it offers at least 1% higher efficiency. On the other hand, a regulated DC-DC converter after the battery will ensure: • • that batteries share the current equally and age similarly; mixing old and new batteries is allowed; 310 Authorized licensed use limited to: Harbin Institute of Technology. Downloaded on June 03,2023 at 05:41:57 UTC from IEEE Xplore. Restrictions apply. 400VDC VIN 480-720V Cr VIN Tracking 40-60V 3:1 Q1 Lr n:1:1 Lrs 40V-60V VO Lm 3:1 Q2 RL L1 Lrs LK Cr Lm 3:1 L2 L4 (a) L3 3:1 (a) 4 Transformers in one core (b) (b) Fig. 2. (a) SOA Si-based 3kW Front-End Converter, (b) Silicon-based 3Phase Interleaved LLC for High Efficiency and its Magnetic Integration. • • Fig. 3. (a) Proposed Floating Bus Architecture [16], (b) Core Structure of Four Transformers into One Core, and (c) Hardware Prototype [16]. peak transient power sharing is allowed; and it offers a fixed 48V output voltage, which is more efficient for the power system. II. PRIOR WORK AND POTENTIAL IMPROVEMENTS Over the past half a century, power conversion technologies have evolved on many fronts, including power semiconductor devices, high-frequency magnetic material, capacitors, topologies, and power architectures. Many new topologies have been developed to circumvent switching losses, resulting to greatly improved efficiency and power density. However, the design practice for magnetics remains essentially unchanged. Recently, a structure of four planar transformers (based on PCB winding structure) has been proposed [15], and has demonstrated significantly improved power density and manufacturability. Figure 2(a) illustrates the state-of-the-art LLC topology for a 400/48V converter. For the increased power level, multiple devices have to be paralleled on the secondary side to handle the high current demand. Two major concerns are: the termination loss, since the termination points occurs during high di/dt and dv/dt; and the current sharing among the four devices in parallel. To circumvent these concerns, a two-phase interleaved LLC converter, as well as three-phase interleaved LLC converter were proposed, as shown in Fig. 2 (b). In the case of the threephase interleaved solution, high efficiency has been reported [7]–[9]. However, this benefit has been offset by the increased number of bulky magnetic components and its higher cost. Even though the magnetics can be simplified and integrated into a simple structure [6], [7], it is still a complicated circuit topology: the large number of WBG devices that have been paralleled on the primary side of the three-phase system degrade the performance of the converter at high switching frequencies (in the range of Mega-hertz) due to the non-negligible switching losses of the WBG devices. The design in [16] proposes an LLC resonant converter that includes a matrix transformer comprised of four elemental transformers, and which works mostly as a DCX based on a floating bus voltage. This design passes the regulation burden of the output voltage to power-factor correction (PFC), as shown in Fig. 3, which enables: • a simplified fixed-voltage rectifier design; • natural power flow through the rectifier for faster dynamic response; • load-independent operation for the LLC resonant converter with a fixed switching frequency; and • simpler hold-up time design with a fixed gain. Section II of this paper investigates a highly efficient structure for AC to 48V and addresses potential issues and improvements. Section III proposes a novel magnetic integration for the matrix transformer with a significant reduction in core losses, higher manufacturability, and easier assembly. Design process considering different losses of magnetics is demonstrated. Section IV presents experimental results on 500-kHz, 48V, 3kW LLC converters with a peak efficiency of 99.1% and a power density of 780 W/in3. The summary is given in Section V. In [16] four transformers have been integrated into one core structure, as shown in Fig. 3, using a simple four-layer PCB. An efficiency of 98.4% has been demonstrated with a fourfold higher power density of 400 W/in3 as compared to the state-ofthe-art solutions. However, the tested efficiency did not meet the targeted efficiency of higher than 99%. In the following subsections, issues and potential improvements are presented. 311 Authorized licensed use limited to: Harbin Institute of Technology. Downloaded on June 03,2023 at 05:41:57 UTC from IEEE Xplore. Restrictions apply. where is the material conductivity, and Ae is the crosssectional area. Fig. 5 shows the impact of core size on core loss, knowing that the hysteresis loss density does not depend on the crosssectional area; hence the difference in core loss density for different toroid sizes are understood to be the result of higher eddy losses inside the core. For the transformer design in [16], the core’s cross-sectional area is around 450 mm2, the core loss density of which is represented by the green line in Fig. 4; this green line is 150% of the core loss density based on the datasheet data, and hence 50% more core losses are included and un-accounted for. Fig. 5 shows a 3D simulation of half the structure proposed in [16], namely two transformers out of the four-transformers structure, to simplify the flux path in the core and understand the eddy loss phenomenon. Therefore, based on Faraday’s law, wherever a flux flows, it generates an eddy current that circulates the flux, and this phenomenon could occur in the ferrite materials, as they are not an ideal insulator. (a) Hitachi: ML95s @ 500 kHz 1000 Pv (kW/m3) 100 Fig 5 shows the flux density and current density in the crosssectional area of the core using 3D FEA Ansys Maxwell simulation. From the aforementioned eddy loss density equation, the eddy loss is proportional to the square of the flux density and is proportional to the cross-sectional area; hence, to reduce the eddy loss, additional legs are proposed at the corners of the plate where the flux density is low. These legs would help to re-distribute the flux in the plate (getting less flux density in the plate) and hence reducing the plate thickness, which helps to decrease the core losses by 30%, as shown in Fig. 6. 10 10 100 Bm (mT) (b) Fig. 4. Core Loss Density for Toroid with Different Sizes. a) Eddy Loss in Ferrite Material For low-voltage, high-current applications, the winding loss is usually dominant compared to the core loss. For example, for the 12V bus architecture, using a large number of output sets to handle the current is preferred [15]. However, moving towards the 48V architecture, the conduction loss is reduced, and the volt-second applied to the transformer has increased by a factor of four, which means, for the same switching frequency and maximum flux density in the core, the transformer size is four times bigger. Hence, the impact of the transformer size on the core loss should be carefully considered. In the literature, different ways have been discussed to reduce the eddy loss; for example, using a laminated core. However, another way to decrease the core loss is to reduce the number of transformers, which correspondingly reduces the core size and loss at the expense of increased winding loss. Therefore, reducing the number of transformers with better magnetic integration will be considered in section III. The data sheets for most ferrite materials are based on the testing results of a small toroid core, which may be 10 times smaller than the actual transformer used for certain applications. Therefore, for these small-sized toroid, the only dominant loss inside the core is the hysteresis loss [17], which is not proportional to the core cross-sectional area, as follows: , where and are the steinmetz coefficients, Bm is the maximum flux density and f is the switching frequency. However, there is an eddy loss [18] inside the ferrite material, which could dominate the core loss density for larger cores, as it is directly proportional to the cross-sectional area, as follows: , Fig. 5. Proposed Improvement for the Four-Transformers Core Structure. 312 Authorized licensed use limited to: Harbin Institute of Technology. Downloaded on June 03,2023 at 05:41:57 UTC from IEEE Xplore. Restrictions apply. Shielding C2 C1 C2 Pri. Core Leg Sec. Sec. Shielding Pri. Pri. Pri. Shielding Shielding Sec. C2 C1 C2 Sec. Pri. GND Pri. GND (a) Fig. 6. 3D FEA Simulation of four-transformers Structure [16] with cross-sectional views of flux density and current density. b) Parasitic Capacitance In addition to the simplicity and cost-effectiveness of the PCB winding’s planar magnetics, and with the increased demand for higher power and current levels, PCB windings with more layers and a larger area are required to handle the current and to perform good thermal management; however, the PCB winding will suffer from high interwinding capacitance. With the high dv/dt and di/dt, the interwinding capacitance could be detrimental in some cases, causing high losses [19] and high parasitic ringing, both of which will negatively impact the electro-magnetic interference (EMI) performance of the converter, as shown in Fig. 4 [16]. Fig. 4(a) shows the transformer winding in addition to the shielding layers. Due to the sizable overlapping area between the layers, a large parasitic capacitance has been created that can be split into two different caps. The first cap (C1) is between the primary layers (layers 3 and 4), and the second cap (C2) is created by the primary layers with the shielding layers. The impact of these parasitic caps is shown in Fig. 4 (b), in which part of the magnetizing current is used to charge and discharge C1 and C2, thus reducing the amount of magnetizing current that is utilized to achieve ZVS and causing a current dip in the primary-side resonant current during the commutation time, as shown in Fig. 4(c). Hence, a larger magnetizing current is required to achieve ZVS, meaning higher turn-off current and higher turn-off loss as well. Different methods for reducing the interwinding capacitance should be considered in the design. Two methods are implemented -- the first of these increases the thickness of the insulation layers. The second method is to cut out the parts of the winding that do not carry current or that have small current density, as shown in Fig. 4 (d). Applying these two methods achieves a 60% reduction in the interwinding capacitance. (b) (c) (d) Fig. 7. (a) PCB Winding Arrangement [16], (b) The Paths Generated by The Parasitic Capacitances C1 and C2, (c) Keywaveforms for Gen. 1[16], and (d) The Proposed Improved Winding Shape for Gen.2. structures, interleaved vias are used to connect the CPU to the motherboard to minimize the parasitic inductances and their related loss. The same concept is implemented here to interleave the secondary-side termination, as shown in the 3D FEA simulations in Fig. 5 (a), which illustrate a huge reduction c) Parasitic Inductance At high current levels, the termination loss cannot be neglected, due to its significant impact on both the conduction loss and the parasitic inductances. For example, in the CPU 313 Authorized licensed use limited to: Harbin Institute of Technology. Downloaded on June 03,2023 at 05:41:57 UTC from IEEE Xplore. Restrictions apply. 99.5 Efficiency (%) Target peak efficiency 99 98.5 0.25%↑ 98 97.5 97 0.9%↑ 96.5 Gen.2 [This Work] Gen.1 [16] 96 0 0.5 1 1.5 2 2.5 3 Output Power (kW) (a) (a) (b) Fig. 8. Termination Impact and Proposed Improvments, (a) Secondary Side, (b) Primary Side (b) in termination loss as well as significant reduction in leakage flux. Even though the primary-side current is smaller than the secondary side due to the large turns-ratio and thus the parasitic inductance will not introduce a significant loss. However, larger parasitic inductance may cause ringing during the commutation process and slow down the commutation process, causing higher switching losses, especially at high switching frequencies. Fig. 5 (b) shows the difference between a non-interleaved and interleaved termination on the primary side. In the previous generation, Q1 and Q4 were located physically side by side, which makes the termination loop long and non-interleaved. In this work, Q1 and Q4 are located back-to-back, Q1 on the top layer and Q4 on the bottom layer beneath Q1, hence a smaller interleaving can be achieved, as shown in Fig. 5 (b). The proposed layout achieves 60% reduction in the leakage flux and reduces the parasitic inductance by 40%. An improved version has been built based on the aforementioned improvements. Fig. 9 (a) shows the tested efficiency comparison, and Fig. 9(b) shows the loss breakdown at full load, which demonstrates the areas that have been improved. However, this tested efficiency does not meet our target of 99%. Notice that the efficiency curve is almost flat at load levels higher than 30%. In addition, Fig. 9 shows that the core loss and the SIC switching loss, which are load-independent, are the largest loss, second only to the SR conduction loss. However, Fig. 9. Testing Results Comparions: Gen.1 [16] in Red Color and Gen.2 [This Work] in Blue Color. these losses will be dominant from light load to around 70% load. Based on these observations, there is room for the tradeoff between load-independent losses, like core loss and switching losses, and load-dependent losses, like device conduction loss and transformer winding loss. In the next section, a novel magnetic integration is proposed that reduces core losses. III. PROPOSED MAGNETIC INTEGRATION AND DESIGN FOR PLANAR MATRIX TRANSFORMER To reduce the load-independent loss components, first the primary-side configurations will be evaluated. Secondly, to reduce the core losses, a matrix transformer comprised of two or three elemental transformers can be used, but this will be at the expense of increased winding losses. Based on the recommended current rating for each SR device (80V EPC GaN 2029) and to ensure good thermal management, at least three SRs are required to handle the high output current. Hence, in case of the two-transformer structure, parallel SRs must be used; these add higher termination losses due to the parallel connection. In this paper, a matrix transformer with three elemental transformers, as shown in Fig. 10, is considered, as it offers better magnetic integration. 314 Authorized licensed use limited to: Harbin Institute of Technology. Downloaded on June 03,2023 at 05:41:57 UTC from IEEE Xplore. Restrictions apply. Half-Bridge Full-Bridge 4:1 2:1 2:1 4:1 Sec1 Shield Pri1 Pri2 Shield Sec2 2:1 4:1 LK Side View LK Lm Cr Lm Cr 2:1 4:1 Bm in the plates = 0.5Bm in the posts (a) (a) (b) (b) (c) Fig. 11. Proposed Magnetic Integration of the Three-Transformer Structure, (a) Side View, (a) 3D View, (a) Flux Density and Current Density in The Highlighted Cross-Section of The Plate in the 3D View. light loads, and will also reduce the cost of the converter by using half the number of devices as well as improving the power density because of the footprint savings. Hence, use of the half bridge will achieve the three design objectives of high efficiency, high density, and lower price in comparison with the full bridge. On the other hand, the half-bridge reduces the turns ratio from 12:1 to 6:1 which in turn reduces the winding area and thus reduces the interwinding capacitance as well. (c) Fig. 10. (a) Circuit Diagram of Proposed Three-Transformer Structure, (b) Primary-Side Device Loss Comparison: Full-Bridge vs. Half-Bridge, and (c) Proposed Thermal Mangament to Cool Down the SiC MOSFETs. However, for the half bridge, the losses are shared between two devices as compared to among four devices in the case of the full bridge, and therefore the device temperature will be higher, especially at heavy-load conditions. Several cooling options can be used to absorb the heat of the device, for example adding a heat sink. As this paper is targeting solutions that offer a high density with a low profile, thermal pads can be embedded into the PCB and then connected to the thermal vias in order to cool down the devices, as shown in Fig. 10(c), to allow for vertical and horizontal heat dissipation. a) Primary-Side Configuation Using WBG devices with ZVS turn-on enables highfrequency operation; therefore, the switching loss will split into turn-off losses and driving losses, which are very small compared to those in the silicon devices. However, these switching losses cannot be neglected, and this consideration plays an important role in converter design. Fig. 10 compares the primary-side device losses of a full-bridge versus half-bridge topology. ! "# $# % ! & '' % ( )* b) A Novel Magnetic Integration In this section, a novel PCB-based planar-integrated magnetic structure is proposed and is shown to be suitable for integration with three transformers, as shown in Fig. 11. + It clear that from light load to 70% load, the half-bridge has lower losses than the full-bridge, which emphasizes the importance of considering the switching loss for the WBG devices, especially at high switching frequencies. Hence choosing the half bridge will improve efficiency, especially at In the proposed structure, the flux directions are alternating in the adjacent legs, which ensures a more uniform flux distribution. When compared to other matrix transformer 315 Authorized licensed use limited to: Harbin Institute of Technology. Downloaded on June 03,2023 at 05:41:57 UTC from IEEE Xplore. Restrictions apply. structures, the flux density in the plates is half the flux density in the legs. This helps to: volt-second being applied to the transformer, and hence a small core size. As mentioned previously, for small core sizes, the hysteresis loss is dominant, and the eddy loss can be neglected. Yet for the 48V applications, the core size is at least four times bigger, and thus the eddy loss cannot be neglected. • reduce the thickness of the plates for low profile and highpower density; • Cut the plates’ thicknesses to half which will reduce the eddy loss inside the core by >50% as compared to that shown in Fig. 6; • Simplify the assembly process which can now be automated to reduce the cost, this is accomplished by designing the outer leg with zero gap; and • Confine the leakage flux in the core and reduce the radiated EMI. Therefore, a 3D-FEA eddy simulation using Ansys Maxwell is utilized to calculate the core losses, including both hysteresis loss and eddy loss. In addition, the FEA method can account for non-uniform flux distribution in the core as shown in Fig. 13. However, eddy simulation uses sinusoidal excitation to compensate for the rectangular excitation applied to the transformer in the case of the LLC converter; the following compensation factor has been proposed and verified in [21]: The proposed structure also produces better current distribution in its PCB windings because of its: core loss r, c( • simple structure of one turn per layer for all the layers, and • symmetry of the winding structure as the core covers all the windings symmetrically, which ensures similar Magnetic Motive Force (MMF) distribution of the 360oC along the PCB winding layers. c) 3 456789 ) 8 ! ; < 456789 . A 2D FEA simulation has been used to determine the winding loss, as follows: P?@ABCDE@FG@ r, c( core loss r, c( ! windig loss r, c(. And then the footprint can be calculated as follows: Choosing the Ferrite Material footprint r, c( To improve current practices, several efforts have been made and a design optimization procedure has been developed in [15]. The first step is to search for better high-frequency magnetic materials. Using the core loss measurement techniques in [17] and [20], different magnetic materials suitable for this application are tested, and core loss measurement results under 500 kHz excitation are shown in Fig. 12. Among them, ML95s is selected for the following analysis since it has the lowest core loss. L ) W. Fig. 13 shows the dimension of the proposed structure: there are two design variables, the core radius r, and the winding width c. The plate thickness is determined to make the flux density in the plates equal to the flux density in the posts, such that: ℎSTU ;V . 2X For the side posts, the cross-sectional area is chosen to ensure the that flux density in the side posts will be equal to that in the middle posts. d) Calculating Core and Winding Losses The next step to get an accurate loss model for predicting the different losses in the transformer. An analytical core loss model has been proposed in [21], which accounts only for the hysteresis loss. It has demonstrated good accuracy in different applications and magnetic structures [15], [22]; however, these structures have low levels of output voltage, leading to a small Pv (kW/m3) @ 500 kHz 10000 P61 (ACME) ML95s (Hitachi) DMR51 (DMEG) 3F36 (Ferroxcube) 1000 100 10 1 10 20 30 40 50 60 70 80 90 100 Bm (mT) Fig. 13. Magnetic Dimension and the Utilised Mesh for Core Loss Calculations. Fig. 12. Core Loss Measurement Results Under 500 kHz Excitation. 316 Authorized licensed use limited to: Harbin Institute of Technology. Downloaded on June 03,2023 at 05:41:57 UTC from IEEE Xplore. Restrictions apply. 10 14 18 16 14 12 16 42 3480 336 324 30 26 24 22 20 10 10 Change core structure @ Fixed Ae and Footprint c r 8 c r Lrect Ft=3000 mm2 6 12 16 Total 10 14 4 18 12 28 26 24 22 20 c (mm) 14 8 Winding 2 6 7 8 9 10 11 12 13 14 4 r (mm) 2 (a) 30 Core 0 Loss (W) 0 5 10 15 20 25 Lrect (mm) 30 35 40 (a) 25 5 15 120 (mm) c (mm) 20 4.8 105 4.6 90 4.4 75 Total 10 Winding 5 Core 0 1000 2000 3000 Footprint 4000 5000 6000 4.2 (mm2) 60 0 (b) Fig. 14. (A) Transformer Total Loss vs. Core Radius r and Secondary Winding width c, (b) Minimum Loss Versus Footprint 10 20 Lrect (mm) 30 40 (b) The transformer’s total loss versus core radius r as the x-axis and secondary winding width c as the y-axis could be plotted as shown in Fig. 14 (a), with an output power of 3kW at 50V based on the aforementioned core loss and winding loss models. The numbers in the colored solid lines in Fig. 10(a) reflect complete transformer losses with three elemental transformers, while the black solid lines show all possible combinations of c and r for a given footprint. The optimum design points for the given footprint are the tangential points (marked with blue dots in Fig. 10) between the black solid lines and colored solid lines. The minimum loss versus footprint for a matrix transformer with round core posts is plotted in Fig. 10(b) after all the optimum design points for a given footprint range have been swept. Fig. 15. Impact of Core Shape at Fixed Footpint and Core Cross-Sectional Area (Ae) on: (a) Magnetic Loss, (b) Winding Dimensions, (c) Flux Distribution. The design region selected at the knee area for footprints is 2000 mm2 to 4000 mm2 and the design point is chosen at footprint that is equal to 3000 mm2. e) the core’s posts from round to a rectangular shape with halfcircular ends on both sides. As the rectangular part increases, the plate thickness reduces to keep the same cross-sectional area, and this leads to significant reductions in both hysteresis and eddy losses inside the core; the winding loss increase is negligible up to Lrect = 20mm. Fig. 15 (b) shows the impact of core shape on the winding dimensions; by changing to the Further Reduction of Magnetic Loss The next step for improving the design is to further reduce the transformer loss and increase the power density without increasing the footprint. Fig 15 (a) shows the impact of changing 317 Authorized licensed use limited to: Harbin Institute of Technology. Downloaded on June 03,2023 at 05:41:57 UTC from IEEE Xplore. Restrictions apply. (a) Fig. 16. 500-kHz 3-kW 48V LLC Converter Prototype. rectangular shape, the winding length will increase, however, the winding width will increase as well. This keeps the same footprint, balancing the increase of the AC resistance from the longer winding length and resulting in a slower increase in the winding loss, as shown in Fig. 15 (a). IV. (b) Efficiency (%) EXPERIMENTAL RESULTS 100 A prototype 3KW converter is capable of operating at 500 kHz with superior efficiency and power density, as shown in Fig. 16. Fig. 17 (a) shows the thermal performance at full load with forced-air cooling, which demonstrates good thermal performance and effectiveness of the embedded pads’ thermal vias to cool down the SiC MOSFETs without requiring a heat sink -- this helps keep a low profile. The key waveforms shown in Fig. 16(b) illustrate the ZVS waveforms for the primary and secondary switches, with a dramatic reduction in the parasitic ringing as compared to those in Fig. 7(c). The tested efficiency is shown in Fig. 17(c) with a peak efficiency of 99.06% at half load and 98.5% at full load. It should be noted that the efficiency is greater than 96% at very light load. The power density is 450 W/inch3 (37 kW/L). V. 99.1% Peak 99 0.5%↑ 0.2%↑ 98 1.3 %↑ 97 0.9%↑ 96 Gen.3 [This Work] Gen.2 [This Work] Gen.1 2019 [16] 95 94 0 SUMMARY AND CONCLUSION 0.5 1 1.5 Load (kW) 2 2.5 3 (c) The GaN based 1 MHz LLC converter for data center server applications demonstrates greatly improved power density while maintaining high efficiency at 1KW [15], [24]. In the present paper, the authors extend this general approach to a 3KW data center server power application, with further improvements on two fronts. One aspect allows a floating link voltage between the PFC and the DC/DC converter in such a way that the LLC converter is operated essentially around the optimum operating point, i.e., around the resonant frequency fo. The burden of controlling the link voltage is placed upon the front-end PFC, which meets this challenge with ease. The second aspect is to break down the transformer into three small transformers which, in turn, can be easily integrated using fourlayer PCB. The integrated core structure enables flux cancellation and more uniformly distributed flux. The proposed Fig. 17. Experimental Results: (a) Thermal Test, (b) key Waveforms, (c) Efficiency. prototype hardware is demonstrated with 99% efficiency and 450W/in3 power density. Furthermore, the proposed magnetic components can be easily automated thus, eliminating the labor expenses associated with the manufacturing and assembling process. REFERENCES [1] Bo Yang, Rengang Chen, and F. C. Lee, “Integrated magnetic for LLC resonant converter,” in APEC. Seventeenth Annual IEEE Applied Power Electronics Conference and Exposition (Cat. 318 Authorized licensed use limited to: Harbin Institute of Technology. Downloaded on June 03,2023 at 05:41:57 UTC from IEEE Xplore. Restrictions apply. [2] [3] [4] [5] [6] [7] [8] [9] [10] [11] [12] No.02CH37335), pp. 346–351, doi: 10.1109/APEC.2002.989269. Bo Yang, F. C. Lee, A. J. Zhang, and Guisong Huang, “LLC resonant converter for front end DC/DC conversion,” in APEC. Seventeenth Annual IEEE Applied Power Electronics Conference and Exposition (Cat. No.02CH37335), vol. 2, pp. 1108–1112, doi: 10.1109/APEC.2002.989382. B. Lu, W. Liu, Y. Liang, F. C. Lee, and J. D. Van Wyk, “Optimal Design Methodlogy for LLC Resonant Converter,” in Twenty-First Annual IEEE Applied Power Electronics Conference and Exposition, 2006. APEC ’06., pp. 533–538, doi: 10.1109/APEC.2006.1620590. D. Fu, B. Lu, and F. C. Lee, “1MHz High Efficiency LLC Resonant Converters with Synchronous Rectifier,” in 2007 IEEE Power Electronics Specialists Conference, 2007, pp. 2404–2410, doi: 10.1109/PESC.2007.4342388. F. C. Lee, Shuo Wang, Pengju Kong, Chuanyun Wang, and Dianbo Fu, “Power architecture design with improved system efficiency, EMI and power density,” in 2008 IEEE Power Electronics Specialists Conference, Jun. 2008, pp. 4131–4137, doi: 10.1109/PESC.2008.4592602. C. Fei, R. Gadelrab, Q. Li, and F. C. Lee, “High-Frequency ThreePhase Interleaved LLC Resonant Converter With GaN Devices and Integrated Planar Magnetics,” IEEE J. Emerg. Sel. Top. Power Electron., vol. 7, no. 2, pp. 653–663, Jun. 2019, doi: 10.1109/JESTPE.2019.2891317. R. Gadelrab, F. C. Lee, and Q. Li, “Three-Phase Interleaved LLC Resonant Converter with Integrated Planar Magnetics for Telecom and Server Application,” in Conference Proceedings - IEEE Applied Power Electronics Conference and Exposition - APEC, Mar. 2020, vol. 2020-March, pp. 512–519, doi: 10.1109/APEC39645.2020.9124392. “Super Efficiency Rectifier Module R4850S,” Accessed: Jul. 09, 2018. [Online]. Available: www.huawei.com. M. Kasper, C.-W. Chen, D. Bortis, J. W. Kolar, and G. Deboy, “Hardware verification of a hyper-efficient (98%) and super-compact (2.2kW/dm&lt;sup&gt;3&lt;/sup&gt;) isolated AC/DC telecom power supply module based on multi-cell converter approach,” in 2015 IEEE Applied Power Electronics Conference and Exposition (APEC), Mar. 2015, pp. 65–71, doi: 10.1109/APEC.2015.7104333. S. Badha and G. Bernacchia, “OCPV3 BBU : Ideal Battery Pack Configuration and highly efficient / responsive BiDir DCDC Converter,” no. March, 2020. G. Sapia and P. Systems, “OCP ORv3 Power,” no. March, pp. 1–13, 2020. D. Sun, C. Chen, B. Kim, and D. Sun, “Open Rack V3 48V BBU,” pp. 1–25, 2020. [13] [14] [15] [16] [17] [18] [19] [20] [21] [22] [23] [24] “Open Rack V3 Power Shelf:,” 2020. OCP, “Open Rack Standard V2.1,” Nippon Ronen Igakkai Zasshi. Japanese J. Geriatr., vol. 57, no. 2, pp. Contents2–Contents2, 2020, doi: 10.3143/geriatrics.57.contents2. C. Fei, F. C. Lee, and Q. Li, “High-Efficiency High-Power-Density LLC Converter With an Integrated Planar Matrix Transformer for High-Output Current Applications,” IEEE Trans. Ind. Electron., vol. 64, no. 11, pp. 9072–9082, Nov. 2017, doi: 10.1109/TIE.2017.2674599. S. Wang, H. Wu, F. C. Lee, and Q. Li, “Integrated Matrix Transformer with Optimized PCB Winding for High-Efficiency High-Power-Density LLC Resonant Converter,” in 2019 IEEE Energy Conversion Congress and Exposition, ECCE 2019, Sep. 2019, pp. 6621–6627, doi: 10.1109/ECCE.2019.8911885. M. Mu, Q. Li, D. J. Gilham, F. C. Lee, and K. D. T. Ngo, “New Core Loss Measurement Method for High-Frequency Magnetic Materials,” IEEE Trans. Power Electron., vol. 29, no. 8, pp. 4374– 4381, Aug. 2014, doi: 10.1109/TPEL.2013.2286830. G. R. Skutt and F. C. Lee, “Characterization of dimensional effects in ferrite-core magnetic devices,” PESC Rec. - IEEE Annu. Power Electron. Spec. Conf., vol. 2, pp. 1435–1440, 1996, doi: 10.1109/PESC.1996.548770. R. Gadelrab, Y. Yang, B. Li, F. Lee, and Q. Li, “High-Frequency High-Density Bidirectional EV Charger,” in 2018 IEEE Transportation and Electrification Conference and Expo, ITEC 2018, Aug. 2018, pp. 237–242, doi: 10.1109/ITEC.2018.8450117. D. Hou, M. Mu, F. C. Lee, and Q. Li, “New high-frequency core loss measurement method with partial cancellation concept,” IEEE Trans. Power Electron., vol. 32, no. 4, pp. 2987–2994, 2017, doi: 10.1109/TPEL.2016.2573273. M. Mu and F. C. Lee, “A new core loss model for rectangular AC voltages,” 2014 IEEE Energy Convers. Congr. Expo. ECCE 2014, pp. 5214–5220, 2014, doi: 10.1109/ECCE.2014.6954116. M. H. Ahmed, C. Fei, F. C. Lee, and Q. Li, “48-V Voltage Regulator Module With PCB Winding Matrix Transformer for Future Data Centers,” IEEE Trans. Ind. Electron., vol. 64, no. 12, pp. 9302–9310, Dec. 2017, doi: 10.1109/TIE.2017.2711519. C. Fei, F. C. Lee, and Q. Li, “High-efficiency High-power-density 380V/12V DC/DC Converter with a Novel Matrix Transformer,” pp. 2428–2435, 2017. C. Fei, Y. Yang, Q. Li, and F. C. Lee, “Shielding Technique for Planar Matrix Transformers to Suppress Common-Mode EMI Noise and Improve Efficiency,” IEEE Trans. Ind. Electron., vol. 65, no. 2, pp. 1263–1272, Feb. 2018, doi: 10.1109/TIE.2017.2733473. 319 Authorized licensed use limited to: Harbin Institute of Technology. Downloaded on June 03,2023 at 05:41:57 UTC from IEEE Xplore. Restrictions apply.