2022 IEEE International Power Electronics and Application Conference and Exposition (PEAC) | 978-1-6654-9141-9/22/$31.00 ©2022 IEEE | DOI: 10.1109/PEAC56338.2022.9959484 Design of a 300 kW Partial Power Processing Based DC-DC Converter for Electric Vehicles Extreme Fast Charging Stations Bin Guo College of Electrical Engineering Zhejiang University Hangzhou, China binguo_cr7@zju.edu.cn Xin Zhang College of Electrical Engineering Zhejiang University Hangzhou, China zhangxin_ieee@zju.edu.cn Zhengqing Zhang* Wuhan Second Ship Design and Research Institute Wuhan, China zhangzhengq219@163.com Hao Ma College of Electrical Engineering Zhejiang University Hangzhou, China mahao@zju.edu.cn Xiang Jin Wuhan Second Ship Design and Research Institute Wuhan, China 1085955753@qq.com Yongmao Wang Wuhan Second Ship Design and Research Institute Wuhan, China ymwang2023@126.com Abstract—This paper proposes a design approach of a partial power processing (PPP) based dc-dc converter for electric vehicle extreme fast charging stations. The partial power converter is made up of two stages: the front-end stage is an input-series output-parallel (ISOP) LLC converter, which acts as a dc-dc transformer (DCX). The rear-end stage is a threephase interleaved buck converter to realize flexible constant current/voltage (CC/CV) charging control. With the proposed topology structure, only less than one fifth of the total charging power is processed. Thus, compared with full rated charging converters, its efficiency and power density are significantly improved. The operation principles with modulation strategy is presented in depth. In addition, a simple control strategy is proposed to realize current-sharing control of the three-phase interleaved buck converter. The system design approach is provided in detail. Finally, simulation and experimental tests on a 300-kW prototype validate its appropriate performance. Keywords—Partial power processing, electric vehicle, extreme fast charging station, dc-dc converter I. INTRODUCTION Due to the reduced reliance on conventional energy resources such as oil and gas [1], electric vehicles (EVs) are regarded as an environmental friendly automotive technology towards sustainable road transportation [2]. However, analysis indicates that the prolonged charging time of EVs will lead to driving range anxiety. Thus, a charging station with extreme fast charging capability is necessary to eliminate range anxiety and improve the market penetration of EVs in longer distance journey [3]. DC link PCC ac dc MV grid Line frequency transformer EVs dc Inverter dc dc dc Partial power converter Fig.1 Structure of extreme fast charging station. As shown in Fig.1, in the extreme fast charging station, EVs is usually connected to a medium voltage (MV) grid by a This work was supported in part by the National Nature Science Foundation of China under Grant 52177198, in part by the National Key Research and Development Program under Grant 2021YFB2500600, and in part by the Delta Environmental and Education Foundation under Grant DERG2021002. (Corresponding author: Zhengqing Zhang.) Iin Vin Iin Io dc dc Vo Io dc Vin dc Vo Vin (a) Type Ⅰ input-parallel output-series (b) Type Ⅱ input-series output-parallel Fig.2 Two typical PPP-based dc-dc converter structures. line frequency transformer, frond-end ac-dc converter and rear-end dc-dc converter. For the rear-end dc-dc converter, usually a full rated converter, such as buck-boost converter [4], LLC converter [5] and dual active bridge (DAB) [6] converter is adopted. Though the abovementioned converters can realize soft-switching, the system efficient is still low since the converters need to handle full power. What’s more, to increase power capacity, multiple converters are usually required to be connected in parallel, which results in bulky size and complex control. To solve this issue, the concept of partial power processing (PPP) has been successfully employed to photovoltaic system [7], traction power trains [8] and battery storage systems [9]. In this case, the partial power converter is only rated less than 30% of its system power, yet it provides flexible voltage and current control. As shown in Fig. 2, generally, there are two typical PPP structures produced by isolated dc-dc converter, including the input-series output-parallel (ISOP) structure and inputparallel output-series (IPOS) structure. Based on the two typical structures, many PPP-based converters have been provided by using DAB converter [10], LLC converter [11], flyback converter [12] and multi-active bridge converter [13]. However, from the above, the existing PPP converters are only rated at few kilowatt, which still has a gap for direct application in extreme fast charging station. To fill this gap, this paper thus presents a detailed design approach of a 300-kW PPP-based dc-dc converter for extreme fast charging station. The system configuration, operation principle and control strategy are presented in Section Ⅱ. The system parameters design is shown in Section Ⅲ. In section Ⅳ, various simulation and experimental tests are performed on a 300-kW prototype to verify the performance. Finally, Section Ⅴ gives the conclusion. 978-1-6654-9141-9/22/$31.00 ©2022 IEEE Authorized licensed use limited to: Zhejiang University. Downloaded on 423 September 19,2023 at 06:03:18 UTC from IEEE Xplore. Restrictions apply. 1 1 3 Q1 3 Q3 D1 n:1 o k p1 1 m s1 s A 2 3 2 4 2 in 4 S1 S3 S5 LLC-DCX # 1 5 S2 6 S4 S6 b 3 Q2 Three-phase interleaved buck converter k p2 3 C1 Vin1 1 2 5 6 m s2 s ip1 B 7 8 C D C3 D2 Vo1 C2 D4 LLC-DCX # 1 (a) [t0, t1] 3 7 i vs s1 Q4 o 4 Lk Lm D3 8 LLC-DCX # 2 (a) System structure of the proposed 300 kW DC-DC converter Q1 A ip I Q3 ip1 C1 Vin1 t iLm D1 n:1 B Q2 Lk Lm is1 D3 C vs D C3 D2 Q4 Vo1 C2 D4 LLC-DCX # 1 VCr (b) [t1, t2] t vCr Q1 Vgs Q1&Q4 t0 A Q2 & Q3 t1 t2 t3 Q3 t4 t5 t6 t (b) Main working waveforms of LLC-DCX1 Fig.3 System structure of the proposed DC-DC converter and the main working waveforms of the frond-end LLC-DCX II. PROPOSED PPP-BASED DC-DC CONVERTER A. System Configuration and Operation Principle The structure of the proposed PPP-based dc-dc converter is shown in Fig. 3(a), where it is a type Ⅰ (IPOS) structure, thus, it is a step-up converter. For the proposed 300 kW dc-dc converter, the input voltage range is 800-900 V and its output voltage range is 900-960 V. To realize such a high voltage and high power output, the dc-dc converter is made up of two stages. The front-end stage is a ISOP LLC converter, which acts as a DCX. By using the ISOP structure, it is beneficial to achieve input-side neutral point voltage balance. The rear-end stage is a three-phase interleaved buck converter, which is used to realize constant current (CC)/voltage (CV) charging. As shown in Fig. 3(a), since the proposed dc-dc converter is a ISOP structure, the output voltage of the interleaved buck converter is the difference between the output voltage Vo and the input voltage Vin. As shown in Fig. 3(a), for the frond-end stage converter, since the operation principle of LLC-DCX1 and LLC-DCX2 is the same, taking the LLC-DCX1 as an example. Fig. 3(b) shows the main working waveforms of LLC-DCX1 during each time interval, where ip1 and iLm are resonant current and magnetic inductor current, respectively, vCr is the resonant capacitor voltage. Fig. 4 gives the equivalent circuits during each time interval at positive-half cycle. The detailed analysis during each time interval is shown as follow. Mode Ⅰ [t0, t1]: During this mode, switches Q1 and Q4 are turn on and thus the primary side bridge output voltage VAB is equal to Vin1. The magnetic inductor current is increased linearly and the secondary side voltage of transformer is ip1 C1 Vin1 Q2 D1 n:1 B Lk Lm i vs s1 D3 C D C3 Q4 D2 Vo1 C2 D4 LLC-DCX # 1 (c) [t2, t3] Fig.4 Equivalent circuit during each time interval. clamed to nVo1. The resonant inductor Lk and capacitor C3 form a resonant network, its voltage is Vin1-nVo1. In this mode, the state-space model of resonant inductor current ip1, magnetic inductor current iLm and resonant capacitor voltage vcr can be derived as: dvcr C3 dt i p1 dip1 Vin1 nVo1 vcr Lk (1) dt diLm nVo1 Lm dt Mode Ⅱ [t1, t2]: As shown in Fig. 3(b) and Fig. 4(b), during this mode, the resonant inductor current is equal to magnetic inductor current, thus, the primary and secondary side current of transformer are zero. The diode D1 and D4 are turned off with zero current. In this mode, the resonant inductor Lk and magnetic inductor Lm jointly participate in the resonant process. The following equations are derived: dvcr C3 dt i p1 di p1 Vin1 vcr ( Lk Lm ) (2) dt diLm Vin1 vcr ( Lk Lm ) dt Mode Ⅲ [t2, t3]: during this mode, switches Q1 and Q4 are turned off, as shown in Fig. 4(c). The junction capacitor of Q1, Authorized licensed use limited to: Zhejiang University. Downloaded on 424 September 19,2023 at 06:03:18 UTC from IEEE Xplore. Restrictions apply. Vref CV L1 L2 S4 Vb (a) Three-phase interleaved buck converter Ts 0 S1 S3 0 0 S5 iL1 iL2 iL3 (b) Main waveforms of driving signal and inductor current Fig. 5 Topology and main waveforms of the three-phase interleaved buck converter. Start Input voltage measurement Voltage error Verr >Vth? N Y Variable frequency control If fs ∈[fL, fH]? Y N Output voltage error Verr Output voltage error Verr Variable frequency control Phase-shifted control iL1+iL2+iL3 Gi1(s) ref di Δdi iLi Gi2(s) 1/3 S1...S6 vtri Current sharing control L3 S6 ref Gv(s) iL Vbin S2 CC iL Vbout S5 S3 S1 Fig. 6 Control logic diagram of the proposed hybrid phase-shifted and variable frequency control strategy. Q4 are charged and Q2, Q3 are discharged by resonant current ip1. At the time of t3, the body diode of Q2 and Q3 are turned on. Therefore, switches Q2 and Q3 will be turned on with zero voltage switching (ZVS) in the next mode. In this mode, the state-space model is the same as (2). For the rear-end stage of the proposed dc-dc converter, buck converter bears low voltage and high current. To reduce the filter inductor and output capacitor, three-phase interleaved structure is adopted. Fig. 5 gives the interleaved buck converter and its main working waveforms. As shown in Fig .5(b), the driving signal of each phase leg differ by 120 degrees and the upper and lower switches of each phase leg are switched on complementary. B. Control Strategy As shown in Fig. 3, the LLC resonant converter is working as LLC-DCX, therefore, in steady-state, the duty cycle of Q1 Pulsewidth modulator Fig. 7 Control block diagram of the three-phase interleaved buck converter. to Q8 is fixed at 0.5. However, considering the inconsistency of system parameters, the input side voltage of LLC converter with the ISOP structure may suffer from imbalance, which will degrade system reliability. To solve this issue, a hybrid phase-shifted and variable frequency control strategy is proposed. Fig. 6 gives the control logic diagram, as can be seen in Fig. 6, when the input voltage error Verr of LLC1 and LLC2 is larger than the threshold voltage Vth, LLC converter will enter variable frequency control. However, if the switching frequency fs reaches its upper and lower boundaries while the input voltage error still larger than Vth, LLC converter will perform phase-shifted control. While for the three-phase interleaved buck converter, since it needs to realize system CC and CV charging, a cascade control structure is adopted, where the outer loop is voltage loop and inner loop is current loop. The detailed control block diagram of buck converter is shown in Fig. 7, where iLn and dn (n = 1,2,3) indicate the n-th phase-leg inductor current and duty cycle, respectively. Notably, the voltage reference of buck converter Vbref comes from the output voltage reference of PPC minus its input voltage value, i.e., Vbref =Voref -Vin. To realize current sharing of buck converter, a simple current sharing control loop is added. Due to the limited space, the detailed voltage and current loop control design are not provided here. III. SYSTEM PARAMETERS DESIGN A. LLC-DCX Converter For the front-end LLC-DCX, considering that the large switching loss under high voltage and high current, the steadystate switching frequency fs of LLC-DCX is set as 10 kHz in this paper. According to Fig. 3(a), to ensure the normal operation of system, the input/output voltage range of LLCDCX1 and LLC-DCX2 are set as: Vin1min = Vin2min = 400 V, Vo1min = Vo2min =240V. k:1 k:1 Fig. 8 Schematic diagram of transformer structure (1) Design of Transformer To reduce the difficulty of transformer design and increase its heat dissipation, as shown in Fig. 8, the transformer of LLC-DCX1 and LLC-DCX2 adopts the ISOP structure. The turns ratio of each transformer can be calculated as Authorized licensed use limited to: Zhejiang University. Downloaded on 425 September 19,2023 at 06:03:18 UTC from IEEE Xplore. Restrictions apply. Vin1min (3) 2Vo1min Select the ferrite core with model LP3A, its maximum magnetic induction intensity is Bmax = 0.5T. Set the variation of magnetic flux density as ΔB = 0.4, then the area product of magnetic core can be deduced as 2 Po D AP (4) B ku J f s where Po is output power, η is efficiency, ku is window utilization, J is current density and fs is operating frequency. According to the effective cross-section Ae of the selected magnetic core, the primary turns can be derived as Vin1 NP (5) 4Bf s Ae Then, the secondary turns is calculated as Np Ns (6) k Since the steady-state switching frequency of LLC-DCX is 10 kHz, there has skin effect on transformer wire, the effective wire diameter can be derived as 2 (7) 2 f s 0 where ζ is constant and its value is 58×106, μ0 is permeability. (2) Design of Resonant Circuit For the resonant circuit parameters design of LLC-DCX, the following two equations are obtained: k Q fr 1 Lk / C3 (8) Re , Then, the inductance value of each buck converter is obtained as Ln 3Vbin (Vbin Vb ) Po _ max f s 2 (12) where fs2 is switch frequency of buck converter. TABLE Ⅰ SYSTEM PARAMETERS Parameter Description Rated Power (Pn) Input Voltage (Vin) Output Voltage (Vo) Turns Ratio of Each Transformer (n:1) LLC Switching Frequency (fs) Buck Converter Switching Frequency (fs2) LLC Resonant Capacitor (C3) LLC Resonant Inductor (Lk) Buck Converter Filter Inductor (L1, L2, L3) Buck Converter Output Capacitor (Cb) Value 300 kW 800-900 V 900-960 V 5:3 10 kHz 5 kHz 25.3 uF 10 uH 200 uH 2.2 mF Fig. 9 Steady-state simulation results of LLC converter. Lm Lk (9) 2 Lk C3 where Q is power quality factor, Re is equivalent load resistance, fr is resonant frequency and λ is ratio of magnetizing inductance to resonant inductance. When the gain curve of LLC converter is drawn, the properly value of Q and λ can be decided, then the parameters Lk, C3 and Lm can be obtained. B. Three-Phase Interleaved Buck Converter For the three-phase interleaved buck converter, the average current of each inductor is derived as I L _ ave Pb _ max Fig. 10 Steady-state simulation results of the proposed PPP-based dc-dc converter under CV charging state. (10) 3Vb where Pb_max is the maximum power that processed by buck converter, Vb is the output voltage of buck converter. Thus, the current ripple in a switching cycle can be derived as iL Vbin Vb Vb Ln Vbin Ts I L _ ave Po _ max 3Vb (11) where Ln (n = 1, 2, 3) is n-th phase buck converter inductance, γ is the ripple coefficient of inductor current, it is usually selected as 15% ~ 30%. Ts is switching cycle of buck converter. Fig. 11 Dynamic simulation results of the proposed PPP-based dc-dc converter under CC charging state. Authorized licensed use limited to: Zhejiang University. Downloaded on 426 September 19,2023 at 06:03:18 UTC from IEEE Xplore. Restrictions apply. Iout (50A/div) Interleaved Buck Converter Control Board Vout (200V/div) Vin (200V/div) LLC-DCX Output Fig. 15 Dynamic experimental results of the proposed dc-dc converter under CV charging state. Input Fig. 12 Experimental Setup Vin1 (250 V/div) Vin2 (250 V/div) ip1 (25A/div) ip1 (25A/div) Fig. 13 Steady-state experimental results of LLC converter. Vout (200V/div) Vin (200V/div) Iout (50A/div) Fig. 14 Steady-state experimental results of the proposed dc-dc converter under CC charging state. IV. SIMULATION AND EXPERIMENTAL RESULTS A. Simulation Results To verify the feasibility of the proposed PPP-based 300kW dc-dc converter, a simulation prototype was built in PSIM. The key system parameters are listed in Table Ⅰ. Fig. 9 gives the steady-state simulation results of LLC converter, where ip1 and ip2 are the resonant current of LLCDCX1 and LLC-DCX2, respectively, Vo1 is the output voltage of LLC-DCX1. As can be seen in Fig. 9, the resonant current is almost sinusoidal, which means ZVS of LLC converter can be well realized. In addition, the output voltage Vo1 of LLCDCX1 is 240 V with the total input voltage of LLC converter is 800 V, this verifies that the front-end stage LLC converter acts as a DCX. Fig. 10 shows the steady-state simulation results of the proposed PPP-based dc-dc converter under CV charging state. It can be seen from Fig. 10 that the output voltage of the dc-dc converter is 960 V with 290 A output current. In addition, the currents of three-phase buck converter differ by 120 degrees from each other and the currents are well shared. To demonstrate the good dynamic performance of the presented system, the simulation is carried out in the case of the charging current is suddenly jumps from half load to full load. The dynamic simulation result is shown in Fig. 10. As it is observed in Fig. 10, the output current of dc-dc converter has a very short tracking time with nearly less than 1 ms and without any overshoot. This result verified the robust performance of the proposed system. B. Experimental Results To further verify the feasibility of the proposed PPP-based dc-dc converter, a 300-kW experimental prototype was built in laboratory, as shown in Fig. 12. The control algorithms are implemented in digital signal processor (DSP) TMS320F28335. The key system parameters are the same as simulation and also shown as Table Ⅰ. Fig. 13 gives the steady-state experimental results of the front-end stage LLC converter. As can be seen in Fig. 13, the input voltage of LLC-DCX1 and LLC-DCX2 are well shared with the proposed control strategy. Fig. 14 gives the steadystate experimental results of the proposed dc-dc converter under CC charging state, it can be seen that the system is stable with the charging current is 210 A. Fig. 15 shows the dynamic experimental results under CV charging state. As it can be observed in Fig. 15, when the load current step changes from 120 A to 150 A, the output voltage of dc-dc converter has very short tracking time and nearly without any overshoot. These steady-state and dynamic results verified very good performance of the proposed system. V. CONCLUSIONS This paper presents a PPP-based 300 kW dc-dc converter for extreme fast charging station. The system configuration, operation principle, control and parameters design are provided in detail, various steady-state and dynamic simulation and experimental results verified the feasibility of the proposed PPP-based dc-dc converter. Form the above simulation and experimental results, it can be concluded that the PPP-based dc-dc converters are very suitable for high power and non-isolated applications. REFERENCES [1] [2] B. Guo, X. Zhang, M. Su, H. Ma, Y. Y. Yang, and Y. Siwakoti, “A single-phase common-ground five-level transformerless inveretr with low component count for PV applications,” IEEE Trans. Ind. Electron. Early Access, 2022. I. Ahmad, X. Ge and Q. -L. Han, "Communication-constrained active suspension control for networked in-wheel motor-driven electric Authorized licensed use limited to: Zhejiang University. Downloaded on 427 September 19,2023 at 06:03:18 UTC from IEEE Xplore. Restrictions apply. [3] [4] [5] [6] [7] [8] vehicles with dynamic dampers," IEEE Trans. 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