Phase-Shift PWM-Controlled DC–DC Converter with Secondary-Side Current Doubler Rectiﬁer for On-Board Charger Application

: A novel circuit topology for an on-board battery charger for plugged-in electric vehicles (PEVs) is presented in this paper. The proposed on-board battery charger is composed of three H-bridges on the primary side, a high-frequency transformer (HFT), and a current doubler circuit on the secondary side of the HFT. As part of an electric vehicle (EV) on-board charger, it is required to have a highly compact and efficient, lightweight, and isolated direct current (DC)–DC converter to enable battery charging through voltage / current regulation. In this work, performance characteristics of full-bridge phase-shift topology are analyzed and compared for EV charging applications. The current doubler with synchronous rectification topology is chosen due to its wider-range soft-switching availability over the full load range, and potential for a smaller and more compact size. The design employs a phase-shift full-bridge topology in the primary power stage. The current doubler with synchronous recitation is placed on the secondary. Over 92% of efficiency is achieved on the isolated charger. Design considerations for optimized zero-voltage transition are disused.


Introduction
Recently, electric vehicles (EVs) and plug-in hybrid EVs (PHEVs) technology have drawn interest in the EVs market by manufacturers and customers, and are being sustained by several administrations with programs of development [1,2]. Because the energy required for PHEVs and EVs is partially or fully delivered by batteries charged from a public charging station, to charge these batteries, an onboard charger (OBC) should be installed [3]. Off-board chargers supplied by a three-phase source are widely utilized for fast charging using direct current (DC) of plug-in electric vehicles (PEVs) [4]. Generally, the three-phase high-power off-board chargers are expensive and bigger. Hence, PEVs use three-phase higher-power propulsion systems with similar power levels and semiconductor devices as compared with off-board chargers. However, propulsion systems can be incorporated with off-board EV chargers. The advantage will be that the infrastructure required for three-phase fast charging could be combined only with a power electronics interface based on three-phase, which is suitable to be built-up on-board. Many types of integrated chargers have been studied and explored in [5,6]. The majority of the existing integrated charging schemes are developed for single-phase integrated chargers [7][8][9][10][11][12]. Generally, the power capacity of single-phase integrated chargers is restricted by the single-phase outlet power capacity.
However, the primary current continues circulation through the primary circuit during the freewheeling intervals causing extreme conduction losses. Additional active switch circuits or extra HF transformers are utilized for the reduction of the circulation current [31,32]. However, these additional components increase the total cost. Moreover, secondary-side diodes are subjected to high voltage spikes and oscillations during turning-off. Thus, the reverse recovery of rectifying diodes in secondary-side causes oscillations and high-voltage overshoots because the EV battery pack voltage is usually high [32][33][34][35][36][37][38][39][40][41][42]. Various soft-switching high-frequency-linked DC-DC converters have been introduced for onboard EV battery chargers [24][25][26]. Phase-shift modulation (PSM) full-bridge (FB) DC-DC converters have been widely utilized in several works [24]. Zero-voltage soft-switching (ZVS) of semiconductor devices is achieved with constant switching frequency operation [25]. However, these full-bridge phase-shift converters have several drawbacks, such as high circulating current and narrow ZVS range. Due to the extended range of chargers' power regulation, the lagging-leg switches cannot realize ZVS soft-switching at light-load operation conditions [26]. Continuous improvements have been developed in order to prolong the ZVS soft-switching range [27][28][29][30]. One method to extend the soft-switching range is by using additional passive auxiliary circuits to the conventional phaseshifted power converter. However, the primary current continues circulation through the primary circuit during the freewheeling intervals causing extreme conduction losses. Additional active switch circuits or extra HF transformers are utilized for the reduction of the circulation current [31,32]. However, these additional components increase the total cost. Moreover, secondary-side diodes are subjected to high voltage spikes and oscillations during turning-off. Thus, the reverse recovery of rectifying diodes in secondary-side causes oscillations and high-voltage overshoots because the EV battery pack voltage is usually high [32][33][34][35][36][37][38][39][40][41][42].
This paper introduces the analyses and performance of a phase-shift converter investigated and designed to operate at 40 kHz and 3.2 kW for EV on-board chargers. The proposed design enables high-frequency switching without sacrificing conversion efficiency. One of the major challenges in high-frequency power converter design is to reduce the parasitic components of printed circuit boards (PCBs), which can cause a faulty triggering of switches leading to circuit failure [43][44][45]. Another challenge is the efficient design of magnetic components, which requires minimizing the impacts of skin and proximity effects on the transformer winding to reduce the conduction loss at high frequencies. The leakage inductance of the high-frequency (HF) transformer is modeled and designed for the proposed converter. A comprehensive system-level power loss analysis is completed and confirmed with the help of experimental results. The prototype circuit can achieve an approximate efficiency of 96% with an appropriate design of the driving circuit and control signal.

Proposed Topology
The proposed circuit consists of a full-bridge phase-shift topology. It is considered the most promised topology at high power levels, where the use of four switches is justifiable. The secondary circuit of the high-frequency transformer consists of two controlled switches for synchronous This paper introduces the analyses and performance of a phase-shift converter investigated and designed to operate at 40 kHz and 3.2 kW for EV on-board chargers. The proposed design enables high-frequency switching without sacrificing conversion efficiency. One of the major challenges in high-frequency power converter design is to reduce the parasitic components of printed circuit boards (PCBs), which can cause a faulty triggering of switches leading to circuit failure [43][44][45]. Another challenge is the efficient design of magnetic components, which requires minimizing the impacts of skin and proximity effects on the transformer winding to reduce the conduction loss at high frequencies. The leakage inductance of the high-frequency (HF) transformer is modeled and designed for the proposed converter. A comprehensive system-level power loss analysis is completed and confirmed with the help of experimental results. The prototype circuit can achieve an approximate efficiency of 96% with an appropriate design of the driving circuit and control signal.

Proposed Topology
The proposed circuit consists of a full-bridge phase-shift topology. It is considered the most promised topology at high power levels, where the use of four switches is justifiable. The secondary circuit of the high-frequency transformer consists of two controlled switches for synchronous rectification, as shown in Figure 2. The current doubler works as the same principle as a full-wave rectifier. This configuration will reduce the copper loss in the transformer secondary as 50%, as stated in [31]. Converters with current doubler rectifiers have a smaller volume of magnetic components. The gate pulse signal applied for active switches is shown in Figure 3. The duty factor (or cycle) can be defined as the ratio of the on-time of switches S 1 , S 4 overlapped with S 6 to the total on-time of S 1 and S 4 : where T 1 is the ON period of switch S 6 that overlaps with the on-time of S 1 and S 4 . The total on-time of switches S 1 and S 4 is equal to T 1 + T 2 .
Energies 2020, 13, 2298 here T1 is the ON period of switch S6 that overlaps with the on-time of S1 and S4. The total on-tim switches S1 and S4 is equal to T1 + T2.

Operation Principle
The simulation results are shown in Figures 4 and 5. The primary switches voltage and th lated current are shown in Figure 4a. The voltage and current of switches in secondary-sid ntrolled by phase-shift are shown in Figure 4b. The primary current (ip) can increase or decreas ring the dead time period. This implies that the stored energy in the leakage inductance L scharges in order to achieve ZVS soft-switching. The simulation results of the proposed on-boar arger controlled by the phase-shifting technique are shown in Figure 5a,b. The developed charg cuit is working in normal operation. In this mode, the circuit is supplying the energy from the gr the propulsion battery.  where T1 is the ON period of switch S6 that overlaps with the on-time of S1 and S4. The total on-time of switches S1 and S4 is equal to T1 + T2.

Operation Principle
The simulation results are shown in Figures 4 and 5. The primary switches voltage and the related current are shown in Figure 4a. The voltage and current of switches in secondary-side controlled by phase-shift are shown in Figure 4b. The primary current (ip) can increase or decrease during the dead time period. This implies that the stored energy in the leakage inductance Llk discharges in order to achieve ZVS soft-switching. The simulation results of the proposed on-board charger controlled by the phase-shifting technique are shown in Figure 5a,b. The developed charger circuit is working in normal operation. In this mode, the circuit is supplying the energy from the grid to the propulsion battery.

Operation Principle
The simulation results are shown in Figures 4 and 5. The primary switches voltage and the related current are shown in Figure 4a. The voltage and current of switches in secondary-side controlled by phase-shift are shown in Figure 4b. The primary current (i p ) can increase or decrease during the dead time period. This implies that the stored energy in the leakage inductance L lk discharges in order to achieve ZVS soft-switching. The simulation results of the proposed on-board charger controlled by the phase-shifting technique are shown in Figure 5a,b. The developed charger circuit is working in normal operation. In this mode, the circuit is supplying the energy from the grid to the propulsion battery.

Operation Analysis
In order to investigate the operation of the studied converter, one assumption is considered. The switching devices are assumed to be ideal isolated gate bipolar transistors (IGBTs), excluding the parasitic capacitors and the reverse conducting diodes. All IGBTs have the same parasitic capacitances. The rectifying diodes are assumed ideal, and the output filter inductor LO is massive

Operation Analysis
In order to investigate the operation of the studied converter, one assumption is considered. The switching devices are assumed to be ideal isolated gate bipolar transistors (IGBTs), excluding the parasitic capacitors and the reverse conducting diodes. All IGBTs have the same parasitic capacitances. The rectifying diodes are assumed ideal, and the output filter inductor L O is massive enough to be treated as a constant current (CC) source during periods of switching. The output voltage is regulated in the conventional phase-shift manner using the driving signals depicted in Figure 3. As depicted in Figure 6, there are seven operating intervals in one switching cycle t 0 -t 7 (from Interval 1 to Interval 7. The operation principle of one cycle is described, and the equivalent circuits of each operating interval are shown in Figure 6.
Interval 1 (t0-t1): Interval 1 starts when the primary-side switches S2 and S3 begin conduction state. The primary current ip(t) in the proposed charger increases linearly and can be expressed as Interval 1 (t 0 -t 1 ): Interval 1 starts when the primary-side switches S 2 and S 3 begin conduction state. The primary current i p (t) in the proposed charger increases linearly and can be expressed as where n = N 1 /N 2 for the turns ratio of the HF transformer. The power transfers from primary to the secondary circuit through the HF transformer. For this reason, this interval is called the power supply period. At this interval, the battery charging current is flowing through switch S 5 , capacitors C o , output inductors L O1 -L O2 , and diodes D 6 and D 8 . From this power flow path, one can realize soft-switching power transfer to the required output side. The rectified output voltage V rec(t) equals the sum of the voltage across the current doubler inductor V LO1 and the output voltage of V O . The secondary voltage is expressed as: Then, the HF transformer primary voltage of a high-frequency transformer (HFT) can be expressed as: This interval finishes when the active switches S 2 and S 3 are turned OFF with ZVS soft-switching. Interval 2 (t 1 -t 2 ): Interval 2 starts when switches S 2 and S 3 are turned OFF with ZVS commutation at t 1 . For this reason, this period is called the ZVS commutation period. Capacitors C 1 = C 2 = C 3 = C 4 = C start charging. V p(t) decreases linearly and at a fast rate. The duration of this interval is a very short time interval.
The voltage across switches and capacitors is expressed as: Interval 3 (t 2 -t 3 ): Interval 3 starts when diode D 7 conducts. At the moment t 2 , the voltage across S 2 is equal zero, and thus, the switch S 2 is turned ON succeeding ZVS soft-switching. This period is called.
ZVS-charge and discharge completed. The primary voltage Vp(t) equals the same magnitude as in both Intervals 1 or 2, and it is applied to the transformer leakage inductance L lk in the primary-side of HFT. However, current i p(t) in primary-side starts to decrease with a linear slope calculated by the following equation: The currents through diode D 6 also decrease with a linear inclination described by: Interval 4 (t 3 -t 4 ): Diodes D 1 and D 4 conduct at the beginning of this interval. Current in the secondary side is decreasing in switch S 5 and diode D 6 . Then, the voltage is applied to L lk , and i p(t) decreases linearly. At time t 4 , the switch S 5 and diode D 6 are turned OFF under zero-current soft-switching (ZCS). This period is called the power regeneration period.
Interval 5 (t 4 -t 5 ): In this interval, S 5 and D 6 commutates. This interval current circulates in the primary and secondary circuits. No power transfer from the primary to the secondary side. Then, energy stored in the output inductance and capacitance in the onboard charger still supplies energy for charging the EV Energies 2020, 13, 2298 8 of 18 battery, as shown in Figure 6. The accumulated energy in the leakage inductance is returning back to the source. However, in the conventional phase-shift full-bridge converter, freewheeling intervals exist when V p(t) is zero. Thus, the circulating current circulates during these intervals in the primary circuit of the HF transformer. The current is considered as a significant disadvantage of the conventional phase-shift converters used for EV battery charging applications. That is because the current continually exists for a wider range of charging voltage like battery charger applications. However, the conduction power losses consumed in the primary circuit of the HF transformer is considerably enlarged due to the primary current [7]. Particularly, the conduction losses produced by the primary-side current are maximum when the EV battery voltage is nearby the minimum level. This is due to the long period of freewheeling phases in this condition. Furthermore, the primary-side current i p(t) in the proposed circuit is reorganized to zero when primary voltage V p(t) tends to zero, and no current flows in the primary-side. In other words, the problem of circulating current is eliminated. Consequently, the conduction power losses consumed in the primary circuit of HF transformers could be significantly reduced during the EV battery charging procedure. This period is called the single reflux period.
Interval 6 (t 5 -t 6 ): Interval 6. Gating signals are applied to switches S 1 , S 4 , and S 6 . These switches are turning on with ZCS due to HF transformer leakage inductance L lk . For this reason, this period is called the ZCS commutation period. The current in the primary side i p(t) flows through Q 1 -HFT-Q 4 in this interval. The current in the primary is increasing linearly and can be calculated as: Moreover, the lower-side switch S 6 and upper-side diode D 5 in the secondary circuit start conduction. The charging current flows directly to the battery through only switch S 5 and diode D 6 . At the end of this interval, the diode D 8 is turned OFF.
Interval 7 (t 6 -t 7 ): Interval 7 begins when lower-side diode D 8 is turned OFF. However, the charging energy is supplied from charger output to the EV battery as ever. This period is called the power supply period. The charging energy passes through S 6 and D 5 in the secondary circuit of HFT. However, the current in the primary circuit can be expressed in this interval as: where i s (t) is the secondary current and n is the turns ratio of HFT.

Feedback Control Loop
Arduino Mega2560 is used for controlling the proposed DC-DC converter circuit. As the control system is based on a microcontroller, all the parameters can be adjusted through changes in the firmware. The basic control loop uses a simple proportional integral (PI) controller operation. The control board generates the driving pulses for the switches using an Arduino controller and the closed-loop control of the output voltage in the DC-DC converter. The output power of the DC-DC converter is regulated according to the voltage and current given to the load. The current is measured on the high side by a simple circuit using the INA138-Q1. The INA138-Q1 delivers output current proportional to the sensed load current. The device common-mode voltage is 40 V, but it can be much higher by floating the ground pin and buffering its output current with a high Voltage PNP transistor. Voltage is measured by a voltage divider and buffered using the TLC2272A-Q1 that has low offset voltage and 2.2 MHz of unity-gain bandwidth. Both current and voltage are converted from analog to digital by using an analog to digital converter. In a charging system, load measurement is key for charging optimization with high accuracy. Low side measurements can provide accuracy but are not capable of detecting short to ground. High side measurements can achieve accuracy and can detect short to the Energies 2020, 13, 2298 9 of 18 ground; however, the high common-mode voltage, up to 400 V, puts constraints on the design. With a few additional components around the current shunt, 400 V common-mode voltage can be achieved with both accuracy and short to ground features. Measuring the 400 V battery voltage requires a high impedance resistive voltage divider and a low output impedance buffer for conditioning the signal. The voltage divider ratio is on the order of 0.01 if the electronics circuit supply voltage is 5 V. To maintain the desired accuracy, low offset, low input capacitance, and high impedance op-amp are required. Two op-amps or a two-channel op-amp is needed to satisfy the current and voltage measurement requirements.
The charging strategy is consisting of two stages; the first is the constant current CC stage; the second is the constant voltag (CV) stage. As presented in Figure 7, the charging current I b decay as the voltage V b of the battery increases. Firstly, the EV battery is charged at a constant charging current until the EV battery voltage equals the predetermined upper-limit voltage VH. Then, current decays exponentially with a constant voltage charging until the current reaches a predefined minimum-limit current.
Energies 2020, 13, x FOR PEER REVIEW 10 of 19 supply voltage is 5 V. To maintain the desired accuracy, low offset, low input capacitance, and high impedance op-amp are required. Two op-amps or a two-channel op-amp is needed to satisfy the current and voltage measurement requirements. The charging strategy is consisting of two stages; the first is the constant current CC stage; the second is the constant voltag (CV) stage. As presented in Figure 7, the charging current Ib decay as the voltage Vb of the battery increases. Firstly, the EV battery is charged at a constant charging current until the EV battery voltage equals the predetermined upper-limit voltage VH. Then, current decays exponentially with a constant voltage charging until the current reaches a predefined minimum-limit current. By using the CC-CV charging strategy, the battery is charged by a degrading current after changing from the CC stage to the CV stage, avoiding overcharging the battery. The charging control strategy is applied in the control of the onboard charger power converter. The selection mode realizes the CC-CV charging strategy, as illustrated in Figure 7. The charging mode selected signal is determined according to the existing operating conditions (the measured voltage uf(k), the measured currents if(k), and the previous charging mode).

Experimental Setup
An experimental setup of a 3.2 kW battery charger prototype is implemented. The high-voltage (HV) nickel-metal hydride (NiMH) battery is substituted as an electronic load prepared in the laboratory. The AC source is given by an AC power supply in the early stage of the experimental setup. The used high-frequency transformer with a ferrite core (Ferrite PQ107) installed in the DC-DC converter is shown in Figure 8. The semiconductor devices in the charger circuit by using IGBTs with 600 V rated voltage in the charger circuit (SKM150GB128D Vces = 600 V, Ic = 150 A (25 °C)). The power losses are calculated under the condition of the rated output power. Figure 9 shows the appearance of the implemented phase-shift full-bridge DC-DC converter with current doubler in secondary-side suitable for OBC charger systems. By using the CC-CV charging strategy, the battery is charged by a degrading current after changing from the CC stage to the CV stage, avoiding overcharging the battery. The charging control strategy is applied in the control of the onboard charger power converter. The selection mode realizes the CC-CV charging strategy, as illustrated in Figure 7. The charging mode selected signal is determined according to the existing operating conditions (the measured voltage uf(k), the measured currents if(k), and the previous charging mode).

Experimental Setup
An experimental setup of a 3.2 kW battery charger prototype is implemented. The high-voltage (HV) nickel-metal hydride (NiMH) battery is substituted as an electronic load prepared in the laboratory. The AC source is given by an AC power supply in the early stage of the experimental setup. The used high-frequency transformer with a ferrite core (Ferrite PQ107) installed in the DC-DC converter is shown in Figure 8. The semiconductor devices in the charger circuit by using IGBTs with 600 V rated voltage in the charger circuit (SKM150GB128D Vces = 600 V, Ic = 150 A (25 • C)). The power losses are calculated under the condition of the rated output power. Figure 9 shows the appearance of the implemented phase-shift full-bridge DC-DC converter with current doubler in secondary-side suitable for OBC charger systems.
To verify the effectiveness of the proposed charger, an experimental setup was carried out using prototype circuit components. The circuit parameters and system specifications are listed in Table 1. A prototype circuit has been built for the proposed converter with a rated power of 3.2 kW with the components in Table 1  To verify the effectiveness of the proposed charger, an experimental setup was carried out using prototype circuit components. The circuit parameters and system specifications are listed in Table 1. A prototype circuit has been built for the proposed converter with a rated power of 3.2 kW with the components in Table 1. The prototype was tested by applying the constant current and constant voltage (CC-CV) charging control technique. The circuit design has an input voltage range Vs = 280 to 400 V; the output voltage VO ranges from 250-420 V. The charging current according to the Constant Current (CC) mode Ib is about 7.8 A at a switching frequency fs of about 40 kHz.   To verify the effectiveness of the proposed charger, an experimental setup was carried out using prototype circuit components. The circuit parameters and system specifications are listed in Table 1. A prototype circuit has been built for the proposed converter with a rated power of 3.2 kW with the components in Table 1. The prototype was tested by applying the constant current and constant voltage (CC-CV) charging control technique. The circuit design has an input voltage range Vs = 280 to 400 V; the output voltage VO ranges from 250-420 V. The charging current according to the Constant Current (CC) mode Ib is about 7.8 A at a switching frequency fs of about 40 kHz.   The proposed charger was designed to achieve soft-switching conditions. These conditions ensure ZVS turn-on from no-load to full loading and to diminish the circulating current produced in the primary-side. In this design, the proposed on-board charger is controlled using a pulse width modulation (PWM) technique with a constant frequency. Two control loops are used for the implementation of the EV battery charging controller. The first is the current inner control loop, and the second is the voltage outer control loop. This control scheme is based on the CC-CV charging algorithm: two PI-type controllers are used to adjust the charging current and EV battery voltage. Thus, the appropriate duty cycle is produced for charging the EV battery. Figure 10 shows the ZVS waveforms in the lagging-leg in the case of a 0.9 duty cycle (in secondary switches) during the normal EV charging process. The waveforms of primary-side switches after changing the duty cycle to 0 in the secondary side are shown in Figure 11. From these two figures, the lagging-leg switches in the studied charger circuit are fruitfully turned ON, achieving ZVS in different loading conditions. The proposed charger was designed to achieve soft-switching conditions. These conditions ensure ZVS turn-on from no-load to full loading and to diminish the circulating current produced in the primary-side. In this design, the proposed on-board charger is controlled using a pulse width modulation (PWM) technique with a constant frequency. Two control loops are used for the implementation of the EV battery charging controller. The first is the current inner control loop, and the second is the voltage outer control loop. This control scheme is based on the CC-CV charging algorithm: two PI-type controllers are used to adjust the charging current and EV battery voltage. Thus, the appropriate duty cycle is produced for charging the EV battery. Figure 10 shows the ZVS waveforms in the lagging-leg in the case of a 0.9 duty cycle (in secondary switches) during the normal EV charging process. The waveforms of primary-side switches after changing the duty cycle to 0 in the secondary side are shown in Figure 11. From these two figures, the lagging-leg switches in the studied charger circuit are fruitfully turned ON, achieving ZVS in different loading conditions. The primary switch current and voltage measured waveforms are shown in Figure 10. As one can notice from Figure 11a, all active power switches in both full-bridge-arms can realize soft-switching operation. In this situation, the inner upper-side and outer lower-side switches S 1 and S 4 can achieve a ZVS soft-switching operation. Figure 12 illustrates the output current versus efficiency characteristics of current doubler secondary with semiconductor devices rated 600 V. Interpolation of experimental data is used in this figure when a theoretical model is unavailable. We Interpolate between two measurements and observations to save money and time. The simplest interpolation method is to locate Energies 2020, 13, 2298 12 of 18 the nearest data value, and assign the same value. One of the simplest methods is linear interpolation. Linear interpolation is quick and easy, but it is not very precise. The primary switch current and voltage measured waveforms are shown in Figure 10. As one can notice from Figure 11a, all active power switches in both full-bridge-arms can realize softswitching operation. In this situation, the inner upper-side and outer lower-side switches S1 and S4 can achieve a ZVS soft-switching operation. Figure 12 illustrates the output current versus efficiency characteristics of current doubler secondary with semiconductor devices rated 600 V. Interpolation of experimental data is used in this figure when a theoretical model is unavailable. We Interpolate between two measurements and observations to save money and time. The simplest interpolation method is to locate the nearest data value, and assign the same value. One of the simplest methods is linear interpolation. Linear interpolation is quick and easy, but it is not very precise.  Figure 13 depicts the quantitative power loss analysis for active switches in the proposed charger circuit by using IGBTs with 600 V rated voltage in the proposed circuit topology. The loss constituents can be categorized into primary-side power switches, HF transformers, and secondary-side rectifier switches and an inductor filter as the loss components. The power losses are calculated at the rated output power condition of 3 kW. One can realize that the overall consumed power losses of the whole circuit are 49.5 W in the case of 40 kHz switching frequency. Figure 14 describes the evaluation of loss components under typical operation. The loss constituents can be categorized into conduction losses and switching losses. The primary-side losses are due to primary-side IGBTs. The secondary-side losses are due to IGBTs and current doubler diodes. The switching losses are calculated in the case of 40 kHz switching frequency. The total switching losses are 20 W and the total conduction losses are 23 W. However, the conduction losses are 15% higher than switching losses due to soft-switching operation.   Figure 13 depicts the quantitative power loss analysis for active switches in the proposed charger circuit by using IGBTs with 600 V rated voltage in the proposed circuit topology. The loss constituents can be categorized into primary-side power switches, HF transformers, and secondary-side rectifier switches and an inductor filter as the loss components. The power losses are calculated at the rated output power condition of 3 kW. One can realize that the overall consumed power losses of the whole circuit are 49.5 W in the case of 40 kHz switching frequency. Figure 14 describes the evaluation of loss components under typical operation. The loss constituents can be categorized into conduction losses and switching losses. The primary-side losses are due to primary-side IGBTs. The secondaryside losses are due to IGBTs and current doubler diodes. The switching losses are calculated in the case of 40 kHz switching frequency. The total switching losses are 20 W and the total conduction losses are 23 W. However, the conduction losses are 15% higher than switching losses due to softswitching operation.    Figure 13 depicts the quantitative power loss analysis for active switches in the proposed charger circuit by using IGBTs with 600 V rated voltage in the proposed circuit topology. The loss constituents can be categorized into primary-side power switches, HF transformers, and secondary-side rectifier switches and an inductor filter as the loss components. The power losses are calculated at the rated output power condition of 3 kW. One can realize that the overall consumed power losses of the whole circuit are 49.5 W in the case of 40 kHz switching frequency. Figure 14 describes the evaluation of loss components under typical operation. The loss constituents can be categorized into conduction losses and switching losses. The primary-side losses are due to primary-side IGBTs. The secondaryside losses are due to IGBTs and current doubler diodes. The switching losses are calculated in the case of 40 kHz switching frequency. The total switching losses are 20 W and the total conduction losses are 23 W. However, the conduction losses are 15% higher than switching losses due to softswitching operation.  Figure 15 illustrates the charger output power characteristics comparing the current doubler (CD) topology with the center-taped (CT) secondary-side circuit. From this figure, the proposed power converter circuit can deliver its output current, achieving soft-switching operation. In the case of rated power settings, the proposed power converter can achieve a measured efficiency of about 92%. Figure 16 depicts the measured charger efficiency during the EV battery charging period. As  Figure 15 illustrates the charger output power characteristics comparing the current doubler (CD) topology with the center-taped (CT) secondary-side circuit. From this figure, the proposed power converter circuit can deliver its output current, achieving soft-switching operation. In the case of rated power settings, the proposed power converter can achieve a measured efficiency of about 92%. Figure 16 depicts the measured charger efficiency during the EV battery charging period. As appears in Figure 16, the studied on-board charger achieves a better performance as compared with the conventional hard switching charger. This is owing to the wider ZVS soft-switching range, reduced circulation current, ZCS operation for all the active switches, and lower turns ratio. The implemented charger has a maximum efficiency of about 96% at rated-load charging conditions during one cycle of the CC-CV charging scheme. Figure 15 shows the efficiency characteristics of the converter with a secondary-side current doubler as compared with the center-tapped DC-DC converter. In this case, the active power switches are rated 600 V. Noticing this figure, the measured efficiency of the studied charger is higher than that of the previously developed charger with the center-tapped circuit in the secondary-side [12] and two-level circuit with the current doubler DC-DC converters in a wide range of charging current ratings.  Figure 15 illustrates the charger output power characteristics comparing the current doubler (CD) topology with the center-taped (CT) secondary-side circuit. From this figure, the proposed power converter circuit can deliver its output current, achieving soft-switching operation. In the case of rated power settings, the proposed power converter can achieve a measured efficiency of about 92%. Figure 16 depicts the measured charger efficiency during the EV battery charging period. As appears in Figure 16, the studied on-board charger achieves a better performance as compared with the conventional hard switching charger. This is owing to the wider ZVS soft-switching range, reduced circulation current, ZCS operation for all the active switches, and lower turns ratio. The implemented charger has a maximum efficiency of about 96% at rated-load charging conditions during one cycle of the CC-CV charging scheme. Figure 15 shows the efficiency characteristics of the converter with a secondary-side current doubler as compared with the center-tapped DC-DC converter. In this case, the active power switches are rated 600 V. Noticing this figure, the measured efficiency of the studied charger is higher than that of the previously developed charger with the center-tapped circuit in the secondary-side [12] and two-level circuit with the current doubler DC-DC converters in a wide range of charging current ratings.  The studied soft-switching DC-DC converter circuit has many advantages and can be summarized in the following: (1) All the active switches can achieve full-ZVS range without duty cycle loss; (2) All the rectifying diodes can operate at ZCS turn-off; (3) Circulating current is minimized; (4) The output filter inductor is small sized; (5) Improved HF transformer utilization is achieved for applications of EV battery onboard charger; (6) The circuit has lower voltage stress on the secondary-side diodes.
Furthermore, the implemented DC-DC converter can achieve an efficiency of about 94% or more around the rated power settings. In this case, only one-diode drop exists in the charging current path. In addition, the transformer secondary winding is rated for one half the loads current, and no center- The studied soft-switching DC-DC converter circuit has many advantages and can be summarized in the following: (1) All the active switches can achieve full-ZVS range without duty cycle loss; (2) All the rectifying diodes can operate at ZCS turn-off; (3) Circulating current is minimized; (4) The output filter inductor is small sized; (5) Improved HF transformer utilization is achieved for applications of EV battery onboard charger; (6) The circuit has lower voltage stress on the secondary-side diodes.
Furthermore, the implemented DC-DC converter can achieve an efficiency of about 94% or more around the rated power settings. In this case, only one-diode drop exists in the charging current path. In addition, the transformer secondary winding is rated for one half the loads current, and no center-tapped connection is required. The two output filter inductors can be coupled or integrated on a single core.

Conclusions
A phase-shift PWM DC-DC converter with a current doubler rectifier was proposed using clarified circuit operation and features. The converter circuit is verified using the theory of operation, details of design, and various experimental results. Moreover, the overall circuit performance is discussed. Soft-switching operation was realized against load fluctuation by constant voltage control. From the simulation results, it was confirmed that soft-switching operation is possible in the entire output range during circuit operation. A further improvement in the proposed on-board charger efficiency can be realized by using the current doubler rectifier. The proposed charger attains superior transformer utilization and contains fewer circuit components. Moreover, the studied DC-DC converter has lower voltage stresses in the secondary-side components for EV onboard charging applications. Power loss analysis was discussed for all components of the studied DC-DC converter. The experimental results for a 3.2 kW prototype converter emphasize the merits of the suggested circuit for onboard charger application. The circuit achieves an overall efficiency of 92% during the charging process in the CC-CV control mode. The efficiency of the current doubler circuit is higher than the center-tapped rectifier for the same operating conditions. The obtained results verify the suitability and effectiveness of the proposed circuit topology for the on-board EV battery charger applications.