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3kW Four-Level Flying Capacitor Totem-Pole Bridgeless PFC Rectifier with 200V GaN Devices Qingyun Huang Semiconductor Power Electronics Center The University of Texas at Austin Austin, Texas, USA qyhuang@utexas.edu Qingxuan Ma Semiconductor Power Electronics Center The University of Texas at Austin Austin, Texas, USA qxma@utexas.edu Pengkun Liu Semiconductor Power Electronics Center The University of Texas at Austin Austin, Texas, USA pkliu@utexas.edu Alex Q. Huang Semiconductor Power Electronics Center The University of Texas at Austin Austin, Texas, USA aqhuang@utexas.edu Michael de Rooij Efficient Power Conversion El Segundo, California, USA michael.derooij@epc- co.com Abstract—This paper introduces a flying capacitor multilevel (FCML) totem-pole bridgeless power-factor-correction (PFC) rectifier for the high-efficiency and high-density switching power supplies of data centers. A 3kW four-level FCML totem-pole PFC with 200V GaN devices is discussed and designed in this paper. Compared with the conventional two-level GaN totem-pole PFC, this four-level FCML GaN totem-pole PFC utilizes the low voltage GaN devices, reduces the switching voltage, reduces the voltage stress on the inductor and increases the equivalent ripple frequency of the inductor. Since the reduced switching voltage also reduces the dv/dt, the EMI noises are also reduced. Based on the commercial cubic composite inductors, a modular compact and low-profile inductor design method is introduced for this four- level totem-pole PFC. A high density 3kW four-level-FCML GaN totem-pole PFC prototype is developed and tested. The working principles, control strategy and performance of this PFC rectifier are verified by the experimental results. The estimated peak efficiency of the prototype is 99%, and the power density is about 125W/in3. Keywords—totem-pole PFC, flying capacitor multilevel converter, GaN, high efficiency, high density, modular inductor I. INTRODUCTION Due to the increased usage and size of the data centers, the data centers have extremely high demand for energy consum- ption. The efficiency, the power density and the cost of the AC/DC switching power supplies for data centers are much more important [1]. The typical two stage power supply solution is widely used for the 48V mother boards: a power- factor-correction (PFC) rectifier to build the 400V DC link, and an isolated DC/DC stage to convert the 400V DC link to 48V. The bulky DC link capacitors provide the energy decoupling and hold-up time. To improve the system efficiencies of the power supplies, the high-efficiency PFC rectifiers are drawing a lot of interest. Due to the high conduction loss of the conventional Boost PFC, various bridgeless PFC topologies are discussed [2]. The dual- Boost bridgeless PFC removes two line-frequency diodes, but its conduction loss is still high, since there are still two low frequency diodes in the circuit. Besides, since the two Boost converters work alternatively, the utilizations of the inductors and the devices in the dual-Boost PFC are low [2]-[3]. The totem-pole bridgeless PFC is considered as a major solution recently, since the 650V GaN FETs have addressed the concern of the severe reverse recovery issue [4]-[6]. The GaN totem- pole PFC has two high frequency 650V GaN FETs, two line- frequency 650V Si MOSFETs and one inductor, as shown in Fig. 1. This topology minimizes the conduction loss, and highly utilizes the devices and the inductor. The conventional GaN totem-pole PFC is a two-level PFC rectifier. It has been proven with 99% efficiency for kW level application. Both the switching voltage of the devices and the voltage swing of the inductor are 400V. 650V Enhancement- Mode GaN devices are still expensive. For hard-switching continuous conduction mode (CCM) operations, the switching frequency is normally under 100kHz to minimize the switching loss. The size of the main inductor is not reduced compared with the traditional hard-switching Boost rectifier. The soft- switching two-level GaN totem-pole PFC reduces the inductor Fig. 1. Traditional two-level GaN totem-pole PFC Fig. 2. Four-Level FCML Si totem-pole PFC 978-1-7281-0395-2/19/$31.00 ©2019 IEEE 81 Authorized licensed use limited to: UDESC - Universidade do Estado de Santa Catarina. Downloaded on September 21,2022 at 19:46:12 UTC from IEEE Xplore. Restrictions apply. size. However, the complexity of the sensing and control system is much more complicated compared with the hard- switching CCM one. The Flying capacitor multilevel (FCML) converters are traditionally used for medium voltage power electronics [7]-[9]. Recently, they have also been demonstrated to achieve high efficiency and high density for low voltage grid connected applications [10]. A 1.5kW bridgeless seven-level FCML Boost PFC is reported in [13]. With twelve 100V GaN devices which work at 150kHz, the peak efficiency is 99.07%. However, in this topology, there are 4 line-frequency Si MOSFETs while totem-pole PFC has only two of them. Besides, the loss is not evenly distributed between the high side devices and low side devices, since the Boost PFC is not a symmetrical topology. The FCML totem-pole bridgeless PFC topology combines the FCML Boost converter and the totem-pole PFC, as shown in Fig. 2. It addresses the issues of the FCML Boost bridgeless PFC. And it can achieve high efficiency, high power-density and low cost. A 200W four-level FCML totem-pole PFC rectifier with 200V Si MOSFETs is reported in [14]. The topology is shown in Fig. 2. However, due to the high switching loss and reverse recovery losses of 200V Si MOESFETs, the efficiency is only around 98% at 150kHz switching frequency. A 3kW three-level FCML totem-pole PFC with 150V Si MOSFETs in series is implemented with 99% efficiency in [15], since the performance of 150V Si MOSFETs is significantly improved compared with 200V Si MOSFETs. The topology is shown in Fig. 3. However, due to the low switching frequency 70kHz and three level operation, the main inductor size is still large, and not improved a lot compared with two-level GaN totem-pole PFC. Based on the previous work on the FCML totem-pole PFC, a four-level FCML GaN totem-pole PFC rectifier with 200V Enhancement-Mode GaN devices are designed, analyzed and implemented in this paper. The topology is shown in Fig. 4. Compared with the conventional two-level totem-pole PFC, this FCML totem-pole PFC has the following benefits: the utilization of low voltage devices, the reduced switching voltage, the reduced voltage swing on the inductor, and the increased equivalent ripple frequency of the inductor. Compared with the Si-based FCML totem-pole PFC, this four- level GaN PFC achieves both high density and high efficiency. A modular low-profile inductor design method is introduced for this PFC. Besides, the system control strategy for this PFC is discussed. A 3kW prototype with EPC 2047 are developed and tested. The operations, control and performance are verified by the experimental results. II. GENERALIZED TOPOLOGY OF FCML TOTEM-POLE PFC The generalized topology of the FCML totem-pole PFC is shown in Fig. 5. In the line frequency leg, and are still the Si 650V super-junction MOSFETs which have low on- resistance and low cost. The high frequency leg consists a FCML Boost. In this FCML leg, to are on the high side, and to are on the low side. There are flying capacitors. This FCML leg has levels. And the voltage on the flying capacitor is (e.g., , , …, ). (1) The phase-shift pulse-width-modulation (PSPWM) can be used for this FCML leg, since PSPWM has the natural voltage- balance capability for FCML converters [11]-[12]. With PS- PWM, to use the phase shifted gating signals, and to use the complementarygating signals of to respectively. The duty-cycle of the high-side switches is . The duty cycle is expressed as follows. (2) Fig. 3. Three-Level FCML Si totem-pole PFC with devices in series Fig. 4. Four-Level FCML GaN totem-pole PFC Fig. 5. Generalized topology of FCML totem-pole PFC 82 Authorized licensed use limited to: UDESC - Universidade do Estado de Santa Catarina. Downloaded on September 21,2022 at 19:46:12 UTC from IEEE Xplore. Restrictions apply. In this FCML totem-pole PFC, the voltage stresses on the high frequency devices ~ are . In the high frequency leg, this FCML totem-pole PFC can utilize low voltage Si MOSFETs which have much better reverse recovery performance than Si MOSFETs. In addition, the cost of the low voltage Si MOSFETs is much less than the GaN FETs. Low voltage GaN FETs can be utilized to further improve the efficiency. Moreover, the voltage swing on the inductor is also significantly reduced. The effective inductor current ripple frequency is , if the switching frequency of each high frequency device is . Therefore, both the inductance and the size of the inductor are reduced, compared with the two- level totem-pole PFC. III. DESIGN AND ANALYSIS OF FOUR-LEVEL FCML GAN TOTEM-POLE PFC As shown in Fig. 4, four-level FCML totem-pole PFC has low voltage high frequency devices in the high frequency leg. The voltage stress on each GaN device is . (3) The voltage stress on is , and the voltage stress on is 2 . , (4) Since the DC link voltage is 400V, the voltage stress of the high frequency devices is 133V. 200V devices are suitable in this topology. A. Selection of Low Voltage Devices Due to the multilevel operation, the low voltage switching devices can be used in this PFC application. For four-level operation, 200V device is enough. With 150V devices, five- level operations are required. If 100V devices are used, seven- level operations are more suitable. In Table I, the state-of-art 200V Si device, 150V Si device and 100V device and 200V E- Mode GaN device are compared in detail. To make the comparison fair, the total for conducting the same current with each type of device is between to . There are three normalized figure of merits (FOMs) listed in Table I. The device performance is better with smaller FOMs. FOM1( ) is the key factor describing the driving speed. The driving speed is faster if FOM1 is smaller. For Si devices, the driving speed is improved a lot with the lower voltage devices. From 200V Si device to 150 Si device, FOM1 is improved with 2.6 times. However, with 200V E-Mode GaN device EPC2047, FOM1 is improved with 6.7 times compared with 200V Si device, and 1.9 times even compared with 100V Si device. The cause is that the input capacitance of GaN device is much smaller than Si devices. FOM2( ) explains the performance of the switching loss for both hard-switching and soft-switching. The switching loss is lower with smaller FOM2. For Si devices, the lower the voltage stress, and the lower the FOM2. However, considering the different testing voltage conditions for different devices, the improvement is not too much with lower voltage devices. However, 200V GaN device has much lower FOM2 than 200V Si device. It has similar FOM2 even compared with 100V Si device if considering the different testing voltage. FOM3( ) describes the performance of the reverse recovery loss. The reverse recovery loss is less if FOM3 is smaller. For Si devices, FOM3 of 150V Si device is reduced by 85% compared with FOM3 of 200V Si device. The reverse recovery loss is significantly reduced by using 150V Si devices. However, E-Mode GaN device has zero reverse recovery loss. GaN FET is ideal for synchronous rectification. In summary, 200V E-Mode GaN FET has much lower switching loss, reverse recovery loss and driving loss, compared with 200V Si devices. 100V Si devices are improved a lot compared with 200V Si devices. However, if 100V Si devices are used for FCML totem-pole PFC, seven level operation is required. The system control complexity and reliability suffer a lot. However, with 200V E-Mode GaN devices, only four level operation is required, and the switching loss is even a little bit lower, and the reverse recovery loss is zero. And its driving loss is also much lower. Therefore, four-level GaN totem-pole PFC is an optimized solution based on the semiconductor com- parison. B. Voltage-Seconds on Inductor Since the equivalent ripple frequency is three times of the switching frequency in four-level FCML totem-pole PFC, this multilevel operation significantly reduces the filter capacitors if the current ripple is the same. TABLE I. COMPARISON OF LOW VOLTAGE DEVICES 83 Authorized licensed use limited to: UDESC - Universidade do Estado de Santa Catarina. Downloaded on September 21,2022 at 19:46:12 UTC from IEEE Xplore. Restrictions apply. For the main inductor, the impact of the multilevel operation can be explained by the calculation of the voltage-second on the inductor. According to the Faraday's Law, the voltage-second can be expressed as follows. , (5) where is the voltage-second, is the inductance, is the current ripple, N is the turns number, is the maximum flux density variation, is the effective cross-section area of the core. Based on (5), if the voltage-second is lower, the inductance can be lower with the same current ripple. And the turns number or the effective area can be smaller. Therefore, with lower voltage-second, the inductance is lower, and the size of the inductor is also smaller. Fig. 6 shows that the voltage-second of the inductor in this four-level totem-pole PFC is significantly reduced compared with that in the two-level totem-pole PFC. For the calculation of Fig. 6, DC link voltage is 400V, AC voltage is 240VAC, and the switching frequency is 100kHz. For two-level PFC, the switching voltage is 400V and the frequency is 100kHz. For four-level PFC, the switching voltage is 133.4V, the switching frequency for each device is 100kHz, and there are 3 devices switching with interleaving. Assuming the switching speed of 650V GaN device for two-level PFC and the 200V GaN device for four-level PFC is similar, the total switching loss should be similar. With the similar switching loss, 72 reduction of the averaged voltage-second over a line cycle on the inductor is achieved in this four-level totem-pole PFC, compared with that of two-level totem-pole PFC. Even though 72% reduction of the voltage-second doesn’t mean 72% reduction of the inductor size, the inductance and the inductor size will still be significantly reduced compared with the two-level totem-pole PFC. IV. INDUCTOR DESIGN BASED ON MODULAR HIGH-DENSITY AND LOW-PROFILE INDUCTOR The switching frequency of the two-level GaN totem-pole CCM PFC is about or lower than 100kHz, to achieve high efficiency. Since the DC current value is high in CCM PFC, the DC flux is high. High saturation flux magnetic material is usually preferred in this application. Some toroid powder cores based on some high saturation flux magnetic materials, such as Kool Mu, High Flux, etc., are used a lot in CCM PFC application operating at around 100kHz switching frequency. However, with these powder cores, the inductance could be significantly reduced at high DC current. For example, if the inductance at zero current is the original inductance, the inductance might be around 30% of the original inductance at designed maximum current. That means, if the required inductance at maximum current for a 3kW 100kHz two-level totem-pole PFC is , the original inductance at zero current should be around . The large inductance and the large inductor size could still be the limitations for two-level totem-pole PFC. As discussedin the previous section, the inductance for the four-level PFC is much lower compared with two-level totem- pole PFC. In this paper, the switching frequency is 100kHz, the current ripple frequency is 300kHz, and the required inductance is around . In the four-level GaN totem-pole PFC, the high saturation flux is still required for the inductor. The toroid powder cores for two-level totem-pole PFC are not suitable for the four-level totem-pole PFC. First, these toroid powder cores achieve high efficiency usually at around 100kHz switching frequency or even lower. However, for this four-level PFC, the current ripple frequency is 300kHz if the switching frequency is 100kHz. Thus, these toroid powder cores are not efficient for this frequency range. In addition, the toroid cores are not suitable for high density design, since the toroid cores are not low- profile, and usually occupy a lot of converter space. The ferrite cores can be much more efficient for several hundred kHz. And there are a lot of low-profile planner ferrite cores with different sizes. However, due to their much lower saturation flux, the ferrite cores need much more turns number Fig. 6. Reduction of voltage-second on the inductor § § § x10-5 t(s) t(s) Fig. 7. Picture of Vishay IHLP-5050FD-01 series inductor [16] Fig. 8. inductor made by four in series Fig. 9. A generalized modular inductor design concept 84 Authorized licensed use limited to: UDESC - Universidade do Estado de Santa Catarina. Downloaded on September 21,2022 at 19:46:12 UTC from IEEE Xplore. Restrictions apply. or cross-section area. The inductor size and the winding loss could be large. For the low voltage high current DC/DC applications, such as notebook, desktop, servers and POL converters, there are a lot of commercial composite inductors. These composite indu- ctors are usually made by some powdered iron cores. The powdered irons integrate the distributed airgaps with the iron. Therefore, the powdered iron has much higher saturation flux compared with ferrite. And the powdered iron cores have very stable inductance at high DC current. Even approaching the saturation current, the inductance reduction is very soft. In these composite inductors, the powdered iron cores are pressed around the inductor coils. The inductor coils are welded to the lead frame [17]. These composite inductors have high DC saturation current, stable inductance, and soft saturation characteristic. They are very compact and low profile. Due to the powdered iron material which have low core loss for high frequency operation, these inductors are very efficient for the switching frequencies from several hundred kHz to MHz. Since the powdered iron is low-cost, these composite inductors are low- cost. Fig. 7 shows an example of Vishay IHLP commercial inductors IHLP-5050FC-01 series. In this series, the inductance can be chosen from (120A) to (15.5A). The size is 12.9x13.2x6.4mm3. For a inductor, the saturation current is 35A, and the DC resistance is . This inductor is high- density, efficient and low-cost. However, the inductance is still too low for the four-level totem-pole PFC. Since these comer- cial composite inductors are very cubic, compact and low- profile, this paper proposes to use the commercial inductors as modular inductor building blocks to build bigger cubic and low- profile inductors. To get higher inductance, the multiple indu- ctors are in series. In this paper, a (35A) inductor is built by four (35A) in series. As shown in Fig. 8, by proper arrangement, this 13.2uH (35A) inductor is very cubic and low- profile, and the size is 25.8x26.4x6.4mm3. A more generalized modular inductor design based on the commercial composite inductors is shown in Fig. 9. With the modular cubic and low- profile inductors, the bigger cubic and low-profile inductors can be developed. These modular inductors can be connected in series or parallel. Series connection provides higher inductance, and parallel connection provides higher current capability. The modular inductors can be put on both sides of the PCB to further utilize the system space. V. CONTROL STRATEGY AND SIMULATION RESULTS The control strategy of this four-level totem-pole PFC is shown in Fig. 10. This control strategy is based on the dual-loop control including the outer DC voltage loop and the inner AC current loop. Fig. 11 shows the basic operation principles and signal waveforms, including the duty-cycle and the gating signals. The duty-cycle is for the high side devices. The duty-cycle has a step change during the AC zero crossing as shown in Fig. 10. This step change is a challenge for the dynamic response of AC current control loop. To solve this issue, a feedforward signal is added to the output of the AC current controller. The calculation of is expressed as follows. (4) Since the feedforward signal is the big signal of the duty- cycle, the step change of the duty-cycle is generated by this feedforward signal. The feedforward signal also compensates the variation of the input and output voltages. Therefore, the output of the AC current controller can be a smaller number around zero, and it doesn’t include the step change signal. With this feedforward signal, the dynamic response of the AC current control loop is improved. Fig. 11. Operation waveforms and principles Fig. 10. Control strategy + _ + _ + + 85 Authorized licensed use limited to: UDESC - Universidade do Estado de Santa Catarina. Downloaded on September 21,2022 at 19:46:12 UTC from IEEE Xplore. Restrictions apply. The PWM signals are generated by the duty-cycle and PSPWM. The voltage balancing is naturally achieved by PSPWM. The gating signals for line frequency switches and are determined by the AC voltage polarity detection. The simulation results are shown in Fig. 12. The conditions for simulations are as follows: , , , . Fig. 12 shows the well-controlled AC current, the multilevel waveforms and the balanced flying capacitor voltages. This topology and control are verified by the simulation results. VI. HARDWARE DESIGN AND EXPERIMENTAL RESULTS In this paper, a 3kW four-level FCML GaN totem-pole PFC is developed and tested. Fig. 13 shows the photos of the prototype. Fig. 13 (a) shows the photo of the four-level FCML GaN totem-pole PFC card. 200V GaN devices (EPC2047) are utilized for the high frequency leg. In the low frequency leg, the Si devices IPT60R028G7XTMA1 are used. The size of the PFC card is 3.07x1.65x0.43in3. The power density of this power stage card is 1380W/in3. This GaN PFC card is a power stage module. This GaN PFC card includes the switching devices, the drivers, the driver power supplies, and inductor current sensor. This GaN card can be used as a PFC module in the PFC system. It is very compact and low profile. The driver power supply solution uses the cascaded bootstrap method [18]. This solution provides multiple driver power supplies without any transformers. And this solution is compact and low-cost. The whole PFC system, including the GaN PFC card, the controller card, the DC bulky capacitors, EMI filter, relay, etc., is shown in Fig. 13(b). The size of this whole PFC prototype is 4.76x2.87x1.77in3, and the density is 125W/in3. Fig. 14 shows the experimental waveforms under the following conditions: , , . Fig. 14 shows the well- controlled inductor current and the multilevel waveforms. VII. CONCLUSIONS This paper discusses the FCML totem-pole bridgeless PFC rectifier. A 3kW four-level FCML GaN totem-pole PFC with 200V GaN devices is analyzed, designed and implemented in this paper. Compared with the conventional two-level GaN totem-pole PFC, this four-level FCML GaN totem-pole PFC has the following benefits: utilization of the low voltage GaN devices, reduced switching voltage, reduced voltage stress onFig. 12. Simulation results (a) Four-level FCML GaN totem-pole PFC card (a) Four-level FCML GaN totem-pole PFC system Fig. 13. Hardware of 3kW Four-level FCML GaN totem-pole PFC Fig. 14. Experimental waveforms 86 Authorized licensed use limited to: UDESC - Universidade do Estado de Santa Catarina. Downloaded on September 21,2022 at 19:46:12 UTC from IEEE Xplore. Restrictions apply. the inductor and increased equivalent ripple frequency of the inductor. The detailed comparison is shown in Table II. The reduced switching voltage reduces the CM noises. Assuming the two-level PFC and the four-PFC has the same switching frequency, such as 100kHz, the total switching loss should be similar. However, due to the achieved 72 reduction of the averaged voltage-second over a line cycle on the inductor, the inductance and the inductor size will be significantly reduced compared with the two-level totem-pole PFC. Therefore, the modular inductor design based on the commercial composite inductors is introduced in this paper. The commercial composite inductors with powdered ferrite iron cores are low-profile and compact. They have high DC saturation currents and low core loss for several hundred kHz to MHz operations. Using these cubic composite inductors as the inductor building blocks to build the larger cubic inductors with series or parallel connec- tions. This method makes the inductor design more convenient, standard and low-cost. This paper also introduces the control strategy for the four-level totem-pole PFC. A 3kW four-level- FCML GaN totem-pole PFC prototype is developed and tested. This prototype achieves a power density of 125W/in3. The four- level-FCML totem-pole GaN PFC power stage card has a power density of 1380W/in3. The estimated peak efficiency is 99%. ACKNOWLEDGMENT The authors would like to thank EPC for GaN device sample and financial support of this work. REFERENCES [1] F. C. Lee, Q. Li, Z. Liu, Y. Yang, C. Fei and M. Mu, "Application of GaN devices for 1 kW server power supply with integrated magnetics," in CPSS Transactions on Power Electronics and Applications, vol. 1, no. 1, pp. 3-12, Dec. 2016. [2] L. Huber, Y. Jang and M. M. Jovanovic, "Performance Evaluation of Bridgeless PFC Boost Rectifiers," in IEEE Transactions on Power Electronics, vol. 23, no. 3, pp. 1381-1390, May 2008. [3] Y. Jang and M. M. Jovanovic, "A Bridgeless PFC Boost Rectifier With Optimized Magnetic Utilization," in IEEE Transactions on Power Electronics, vol. 24, no. 1, pp. 85-93, Jan. 2009. [4] Z. Liu, F. C. Lee, Q. Li and Y. Yang, "Design of GaN-Based MHz Totem- pole PFC Rectifier," in IEEE Journal of Emerging and Selected Topics in Power Electronics, vol. 4, no. 3, pp. 799-807, Sept. 2016. [5] L. Zhou, Y. Wu, J. Honea and Z. Wang, "High-efficiency True Bridgeless Totem Pole PFC based on GaN HEMT: Design Challenges and Cost- effective Solution," Proceedings of PCIM Europe 2015; International Exhibition and Conference for Power Electronics, Intelligent Motion, Renewable Energy and Energy Management, Nuremberg, Germany, 2015, pp. 1-8. [6] Z. Liu, Z. Huang, F. C. Lee and Q. Li, "Digital-Based Interleaving Control for GaN-Based MHz CRM Totem-pole PFC," in IEEE Journal of Emerging and Selected Topics in Power Electronics, vol. 4, no. 3, pp. 808- 814, Sept. 2016. [7] J. Rodriguez, Jih-Sheng Lai and Fang Zheng Peng, "Multilevel inverters: a survey of topologies, controls, and applications," in IEEE Transactions on Industrial Electronics, vol. 49, no. 4, pp. 724-738, Aug. 2002. [8] H. Abu-Rub, J. Holtz, J. Rodriguez and G. Baoming, "Medium-Voltage Multilevel Converters—State of the Art, Challenges, and Requirements in Industrial Applications," in IEEE Transactions on Industrial Electronics, vol. 57, no. 8, pp. 2581-2596, Aug. 2010. [9] S. S. Fazel, S. Bernet, D. Krug and K. Jalili, "Design and Comparison of 4-kV Neutral-Point-Clamped, Flying-Capacitor, and Series-Connected H-Bridge Multilevel Converters," in IEEE Transactions on Industry Applications, vol. 43, no. 4, pp. 1032-1040, July-aug. 2007. [10] Y. Lei et al., "A 2-kW Single-Phase Seven-Level Flying Capacitor Multilevel Inverter With an Active Energy Buffer," in IEEE Transactions on Power Electronics, vol. 32, no. 11, pp. 8570-8581, Nov. 2017. [11] B. P. McGrath and D. G. Holmes, "Natural Capacitor Voltage Balancing for a Flying Capacitor Converter Induction Motor Drive," in IEEE Transactions on Power Electronics, vol. 24, no. 6, pp. 1554-1561, June 2009. [12] B. P. McGrath and D. G. Holmes, "Analytical Determination of the Capacitor Voltage Balancing Dynamics for Three-Phase Flying Capacitor Converters," in IEEE Transactions on Industry Applications, vol. 45, no. 4, pp. 1425-1433, July-aug. 2009. [13] S. Qin, Y. Lei, Z. Ye, D. Chou and R. C. N. Pilawa-Podgurski, "A High Power Density Power Factor Correction Front End Based on Seven-Level Flying Capacitor Multilevel Converter," in IEEE Journal of Emerging and Selected Topics in Power Electronics. [14] T. T. Vu and G. Young, "Implementation of multi-level bridgeless PFC rectifiers for mid-power single phase applications," 2016 IEEE Applied Power Electronics Conference and Exposition (APEC), Long Beach, CA, 2016, pp. 1835-1841. [15] T. T. Vu and E. Mickus, "99% Efficiency 3-Level Bridgeless Totem-pole PFC Implementation with Low-voltage Silicon at Low Cost," 2019 IEEE Applied Power Electronics Conference and Exposition (APEC), Anaheim, CA, USA, 2019, pp. 2077-2083. [16] Vishay. (2019). IHLP -5050FD-01 datasheet. [Online]. Available: https://www.vishay.com/docs/34123/ihlp-5050fd-01.pdf [17] Vishay. (2019). INDUCTORS 101 Instructional Guide. [Online]. Available: http://www.vishay.com/docs/49782/49782.pdf TABLE II. COMPARISON OF TWO-LEVEL GAN TOTEM-POLE PFC AND FOUR-LEVEL FCML GAN TOTEM-POLE PFC Two Level GaN totem-pole PFC Four Level FCML GaN totem-pole PFC High Frequency Switches 2(650V GaN) 6(200V GaN) Drivers 2 6 Auxiliary power supplies for drivers 1+1 bootstrap power supply 1 + 5 cascaded bootstrap power supplies Inductor ripple frequency at 100kHz switching frequency 100kHz 300kHz Inductor core design at 100kHz switching frequency Toroid powder cores (Kool Mu, MPP, High Flux...) Modular cubic inductor design based on commercial composite cubic inductors (powdered iron cores) Inductance at 100kHz switching frequency 165µH (about 50µH at maximum current) 13.2µH Switching voltage 400V 133.3V 87 Authorized licensed use limited to: UDESC - Universidade do Estado de Santa Catarina. Downloaded on September 21,2022 at 19:46:12 UTC from IEEE Xplore. Restrictions apply. [18] Z. Ye, Y. Lei, Z. Liao and R. C. N. Pilawa-Podgurski, "Investigation of capacitor voltage balancing in practical implementations of flying capacitor multilevel converters," 2017 IEEE 18th Workshop on Control and Modeling for Power Electronics (COMPEL), Stanford, CA, 2017, pp. 1-7. 88 Authorized licensed use limited to: UDESC - Universidade do Estado de Santa Catarina. Downloaded on September 21,2022 at 19:46:12 UTC from IEEE Xplore. Restrictions apply. 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