1. Introduction
Due to the progressive depletion of conventional fossil fuel reserves and the deterioration of environmental quality, electrified transportation systems have attracted increasing interest. Fuel cells, recognized for their high efficiency and zero-emission characteristics, represent a promising energy source for electric vehicles [
1,
2]. However, their practical deployment is restricted by several inherent limitations. A single fuel cell generally provides a low output voltage of approximately 1.16 V, necessitating the series connection of many cells to obtain a usable voltage level, an arrangement that may compromise the long-term robustness and operational dependability of the stack [
3,
4]. Additionally, the output voltage of fuel cells fluctuates significantly with load variations due to their soft output characteristics [
5]. Consequently, directly interfacing the fuel cell stack with a DC bus, which typically operates around 400 V in electric vehicle systems, is not feasible. To address this, a dc–dc converter with a high conversion ratio is therefore required to facilitate the connection between the fuel cell and the system’s DC bus [
6], as depicted in
Figure 1. Moreover, the converter must ensure minimal input-current ripple to prolong the fuel cell’s operational lifespan and incorporate the same ground to both input and output sides to mitigate electromagnetic interference (EMI) and enhance operational stability [
7]. Isolated step-up DC–DC converters are capable of achieving high voltage gain primarily through an increase in the transformer turns ratio [
8,
9,
10]. However, in applications such as electric vehicles, where system size and cost are critical considerations, non-isolated transformerless high-gain converters are often preferred. Their reduced hardware requirements and compact design make them more suitable as interface converters under such constraints. The conventional boost converter represents the most fundamental non-isolated topology [
11]. While a sufficiently high duty cycle theoretically allows it to achieve large voltage gain, practical limitations such as parasitic effects restrict the achievable gain. Additionally, it is prone to extreme duty ratios, pronounced diode reverse-recovery losses, and hard-switching stress. These drawbacks make the conventional boost converter unsuitable for fuel cell applications.
To improve voltage gain, numerous boosting techniques have been explored [
12]. One approach is the switched-inductor topology, as studied in [
13,
14]. The design in [
13] provides a simple configuration with reduced input-current ripple, but the absence of a common ground between input and output can generate significant EMI issues. Conversely, the converter in [
14] uses a shared ground but achieves only limited voltage gain. In [
15], a switched-capacitor converter is proposed that doubles the output voltage and lowers voltage stress on diodes and capacitors; nevertheless, the switches operate under hard-switching, which constrains efficiency enhancement. Magnetically coupled structures provide another effective approach for boosting voltage, categorized into horizontal [
16,
17] and vertical [
18,
19] arrangements depending on the circuit layout. Coupled-inductor converters in [
20,
21] further enhance voltage gain without extreme duty cycles and enable soft-switching of main switches, though the soft-switching range is limited. In addition, these converters’ complex topologies increase overall size and cost.
For fuel cell vehicle applications, interface converters must exhibit minimal input-current ripple. By employing interleaved configurations, these converters effectively minimize input current variations and reduces current stress on switching elements by distributing the input current across multiple paths [
22]. To enhance core utilization, a single coupled inductor with inverse [
23] or direct [
24] coupling can replace two separate inductors. Nevertheless, these designs still rely on hard switching for active switches. Auxiliary circuits are integrated in [
25,
26,
27] to facilitate soft switching. In particular, the approach presented in [
27] reduces the zero-crossing period of the current in the auxiliary circuit by connecting the auxiliary inductor to the primary inductor. However, despite this enhancement, the voltage step-up capacity of these converter designs is still inadequate to fulfill the operational demands of fuel cell systems.
The aforementioned non-isolated DC-DC converter topologies are incapable of simultaneously providing a high voltage conversion ratio, small input-current ripple, and complete soft-switching operation for all semiconductor devices. To address this limitation, this paper proposes a new interleaved converter that integrates the parallel-interleaved technique, flying-capacitor approach, switched-capacitor methodology, and ZVT cell. The proposed converter has the following advantages:
The main switches Sm1 and Sm2 turn on and off under ZVS, while the auxiliary switch turns on with ZCS and off with ZVS.
Main output diodes and auxiliary diodes turn off with ZCS, resulting in negligible reverse-recovery losses.
Voltage stress on all power semiconductors and capacitors is limited to half of the output voltage, reducing switching and conduction losses and improving efficiency and reliability.
Input-current ripple is minimized through interleaving of two inductors, lowering stress on the fuel cell and enhancing efficiency.
The converter shares a common ground between input and output, reducing EMI and simplifying system integration.
By combining these advantages in one compact topology, the converter offers an effective alternative to conventional designs that typically compromise between gain, efficiency, and switching performance. The structure of this paper is as follows:
Section 2 details the circuit configuration and operational principles of the proposed converter.
Section 3 provides a comprehensive analysis of the converter’s characteristics. Subsequently,
Section 4 outlines the parameter design methodology and discusses the experimental results. Finally, the conclusion is summarized in
Section 5.
2. Operating Principle of the Converter
Figure 2a illustrates the circuit configuration of the proposed converter. The converter is composed of a two-phase interleaved boost converter, where one cell is made up of L
m1, S
m1, D
1, and C
1, and the second cell includes L
m2, S
m2, D
2, and C
2. It also features a diode-capacitor network formed by D
3 and C
3, along with a single auxiliary soft-switching circuit that consists of the auxiliary switch S
a, auxiliary inductor L
a, auxiliary capacitor C
a, and auxiliary diodes D
a1, D
a2, D
a3, and D
a4. The two boost converter stages are configured in an input-parallel and output-series (IPOS) arrangement, facilitating a reduction in input-current ripple while enhancing the output voltage gain.
Typically, the operating behavior of a two-phase interleaved boost converter can be classified into two conditions: when the duty cycle is greater than or less than 0.5. In this study, the focus is solely on the case where the duty cycle is greater than 0.5, as it sufficiently meets the voltage gain requirements of the target application. In this operating mode, the converter undergoes 20 different intervals within a single switching cycle. Owing to the symmetry of the interleaved structure, only the ten stages associated with switch S
m1 are examined, as the behavior of the complementary phase is identical. A simplified operational flowchart of the proposed converter is shown in
Figure 2b to provide a clear overview of the overall system operation. The corresponding key waveforms, obtained from MATLAB R2024b/Simulink simulations, and the equivalent circuit for each stage are presented in
Figure 3 and
Figure 4, respectively. The description of each operating stage is provided as follows.
Stage 1 [Before Turn−Off of the Main Switch S
m1,
Figure 4a]: During this interval, i
Sm1 = I
Lm1, i
Sm2 = I
Lm2 + I
1, i
Sa = 0, i
La = 0, i
D1 = 0, i
D2 = 0, i
D3 = I
1 and V
Ca = 0. Before the instant t
1, the interleaved boost converter operates in its normal on−state interval with a duty ratio greater than 0.5. In this interval, both main switches and diode D
3 are conducting, while the auxiliary switch and main diodes D
1 and D
2 remain in the off state. During this mode, the input inductors L
m1 and L
m2 are energized by the input source V
in, thus
Since capacitors C1 and C3 are charged in parallel, the voltage difference between them remains small, though it cannot be neglected. This slight voltage imbalance gives rise to a current through diode D3, denoted as I1. Under this condition, the current through switch Sm1 corresponds to the inductor current Lm1, while the current through switch Sm2 is the sum of iLm2 and I1. This stage ends when the main switch Sm1 turns off at time t = t1.
Stage 2 [t
1 < t < t
2,
Figure 4b]: At t = t
1, auxiliary diodes D
a1 and D
a3 become forward biased and start conducting. During this interval, the main inductor current I
Lm1 discharges the auxiliary capacitor C
a, while the output capacitance of main switch C
Sm1 is simultaneously charged. Because C
a has a significantly higher capacitance compared to C
Sm1, the main switch S
m1 achieves turn−off under ZVS condition. The voltage equations of the circuit elements in this interval are described as follows:
The parasitic capacitor C
Sm1 charges up to the voltage V
C1 while the capacitor C
a discharges completely to zero at t = t
2. At this moment, the auxiliary diodes D
a1 and D
a3 turn off with ZVS and this stage ends. The time span of this interval is obtained as follows:
Stage 3 [t
2 < t < t
3,
Figure 4c]: Before this interval, i
Sm1 = 0, i
Sm2 = I
Lm2 + I
1, i
Sa = i
La = 0, i
D1 = 0, i
D2 = 0, i
D3= I
1 and V
Ca = 0 are valid. At instant t
2, the main diode D
1 switches on, directing the input current toward the load. This stage concludes at t
3, when the auxiliary switch S
a begins to turn on. During this stage, the input voltage V
in charges L
m2 and L
m1 together with V
in supplies energy to C
1 and C
3. So, for this stage, the equations
are valid.
Stage 4 [t
3 < t < t
4,
Figure 4d]: Before this interval, i
Sm1 = 0, i
Sm2 = I
Lm2 + I
1, i
Sa = i
La = 0, i
D1 = I
Lm1, i
D2 = 0, i
D3 = I
1 and V
Ca = 0 are valid. At t
3, auxiliary switch S
a turns on. As a result, the current i
La begin to rise linearly, with the rate of increase governed by the slope given below:
This effectively redirects the current flow away from the primary diode D
1. Thus, the auxiliary switch S
a activates with ZCS condition at t
4, while the main diode D
1 deactivates under ZCS at t
4. This occurs because of the series arrangement between the auxiliary switch S
a and the inductor L
a. The interval concludes at t
4, when current i
La equals the input current I
Lm1 and the current i
D1 reaches zero. The duration of this interval can be calculated using (7) as follows:
Stage 5 [t
4 < t < t
5,
Figure 4e]: At moment t
4, the main diode D
1 is turned off. Subsequently, resonance begins between L
a and C
Sm1, transferring the entire stored energy in C
Sm1 to L
a. This mode concludes once C
Sm1’s voltage drops to zero and the current through the auxiliary inductor L
a reaches its peak value, I
La,peak.
In Equations (9) and (10),
I
La,peak can be determined from Equation (9) at time t = t
5 by
The duration of this operating interval is obtained from the following relation:
Stage 6 [t
5 < t < t
6,
Figure 4f]: At t = t
5, once V
CSm1 reaches zero, the body diode D
Sm1 of the switch S
m1 is activated. This clamps the voltage across S
m1 and L
a to zero and holds the current i
La constant at I
La,peak. This allows switch S
m1 to be turned on with ZVS condition. The mathematical relations describing this interval are given by the following:
Stage 7 [t
6 < t < t
7,
Figure 4g]: At the start of this interval, i
Sm1 = 0, i
Sm2 = I
Lm2 + I
1, i
Sa = i
La = I
La,peak, i
D1 = 0, i
D2 = 0, i
D3 = I
1 and V
Ca = 0 are valid. At moment t = t
6, the auxiliary diode D
a1 turn off with ZVS, the main switch S
m1 receives a turn-on gate signal, and the auxiliary switch S
a has its gate signal removed at the same instant. As a result, S
m1 achieves ZVS turn-on, while S
a undergoes ZVS turn-off via capacitor C
a. Once S
a is switched off, conduction transfers to diode D
a2, which turns on with ZVS, and subsequently, L
a engages in a resonant interaction with C
a and C
Sa. The governing equations for this resonant interval can be derived as follows:
In Equations (16) and (17),
The length of this resonance interval is determined using the following expression:
The auxiliary switch’s turn off voltage is predominantly influenced by Ca and La because CSa is significantly smaller than Ca. This interval terminates at t = t7, when VCa and VCSa rise to VC1, resulting in the forward conduction of diode Da3.
Stage 8 [t
7 < t < t
8,
Figure 4h]: Once V
Ca reaches V
C1, diode D
a3 conducts, transferring the remaining energy stored in the auxiliary inductor L
a to the output. This interval concludes at t = t
8, when the current i
La falls to zero, resulting in the ZCS turn-off of diodes D
a2 and D
a4.
Stage 9 [t
8 < t < t
9,
Figure 4i]: At t = t
8, C
Sa and L
a enter a resonant interaction. Since C
a is much larger than C
Sa, V
Ca is therefore assumed constant throughout this resonant interval. Consequently, the voltages and currents equations of the elements involved in the resonant process can be analytically determined as follows:
In Equations (21) and (22),
This resonant mode ends once V
Sa reaches zero and the inductor current i
La attains its minimum I
La,min which can be determined from Equation (21) as follows:
The length of this mode is computed as
Stage 10 [t
9 < t < t
10,
Figure 4j]: At t
9, the anti-parallel diode of auxiliary switch D
Sa becomes forward-biased, initiating a resonant process between L
a and C
a. The current and voltage equations for this resonant interval can be found as follows:
In Equations (27) and (28),
The interval terminates once i
La falls to zero, and its duration can be determined from the following expression:
The voltage variation ∆VC
a across C
a during this interval can be evaluated from Equations (25), (28) and (31) as follows:
Upon completion of this interval, the first segment of the switching cycle, which characterizes the conduction and switching of Sm1, concludes. The subsequent segment, associated with Sm2, occurs next, following the same operational pattern to maintain interleaved symmetry.
4. Parameter Design and Experimental Results
In this section, the design considerations of the proposed converter are presented. The proposed interleaved boost converter is configured to operate in continuous conduction mode (CCM), while ensuring both ZVS and ZCS conditions.
4.1. Selection of the Boost Inductors Lm1 and Lm2
The inductor design is influenced by the allowable current ripple rates
rLm1 and
rLm2, the nominal input and output voltages
Vin and
Vo, the rated load resistance, and the operating switching frequency
fs:
The proposed converter typically operates with a duty cycle between 0.5 and 0.75. At a 0.5 duty cycle, the design requires the maximum inductance values. At this point, to keep the inductor currents continuous, both inductor current ripple ratios
rLm1 and
rLm2 are set to 70%.
To ensure the inductor current ripple remains small during light-load operation, and to provide additional margin, the inductance is set to 330 μH.
4.2. Capacitor Design
When selecting the output capacitors, the output-voltage ripple must be carefully considered. Although larger capacitors help to minimize this ripple, they also increase the converter’s overall cost and physical size. Thus, an appropriate trade-off between capacitance and cost must be achieved. Given that capacitors
C1 and
C2 govern the output-voltage ripple in the proposed converter, the corresponding output-voltage ripple Δ
uo can be formulated as
where ∆
V1 and ∆
V2 are the voltage ripples across
C1 and
C2, respectively. To facilitate maintenance and simplify the analysis, the capacitors are selected to have equal values, i.e., C
1 = C
2 = C
3 = C. Consider the sub-interval where S
m1 ON and S
m2 is off; D
2 conducts while D
1 and D
3 blocks. In this interval, L
m1 is charged from the input with a linearly increasing current, while the input source together with L
m2 and C
3 transfer energy to C
1, C
2, and the load, so I
Lm2 decreases. The currents through C
1 and C
2 point toward their positive plates (charging), which drives a roughly linear rise in the output voltage during this sub-interval. Therefore, the output-voltage ripple over one switching period can be computed from the linear capacitor charge in this sub-interval, leading to Equation (60).
Considering that the proposed converter is connected in series with the inverter, the allowable ripple of the output voltage is restricted to ±0.15% of the rated output voltage in order to meet load requirements. The capacitor sizing is then determined using Equation (61) as follows:
Finally, to prevent excessive output-voltage ripple under heavy-load conditions and to provide an adequate design margin, a capacitor value of 450 μF is selected.
4.3. Condition of Soft Switching
The resonant capacitors C
Sm1 and C
Sm2 are the parasitic capacitances of the main switches S
m1 and S
m2, respectively. In contrast, the resonant capacitor C
a and the resonant inductor L
a are additionally added components introduced into the circuit to form the resonant network. To ensure ZVS during the turn-on transition of the main switches, the auxiliary switch S
a must satisfy the following condition at its turn-on time:
where
tSa denotes the turn-on time of the auxiliary switch,
t01 represents the current rise time of the auxiliary inductor L
a during Mode 1, and
t02 is the resonant transition time in Mode 2. The selection of
tSa is critical and must satisfy two primary constraints. First, to significantly reduce the reverse-recovery losses of the main diodes, i.e., D
1 and D
2, the current rise time of the auxiliary inductor during Mode 1 should be larger than three times the diode’s reverse-recovery time
trr. Considering Mode 2’s resonant interval
t02,
tsa is chosen to be five times greater than
trr. Second, to minimize conduction losses and maintain a compact auxiliary circuit,
tSa should be chosen to be less than one-tenth of the switching period
Ts. Therefore,
tsa is constrained by
The main diode generally has a reverse-recovery time of several tens of nanoseconds. Thus, considering the chosen switching frequency and Equation (63), tSa ≤ 2 μs is determined. If tsa is chosen too small, the inductance of the auxiliary inductor becomes insufficient to support proper resonant operation, causing the main switch to fail to achieve ZVS turn-on at light load. Conversely, if tSa is too large, the conduction losses in the auxiliary components increase significantly. Hence, tSa = 1000 ns is selected.
4.4. Auxiliary Inductor Design
The auxiliary inductor
La governs the current change rate
di/
dt in the auxiliary switch at the moment of turn-on. Based on Equations (8), (14) and (62), the required value of
La is selected as
Based on the design parameters, the maximum value of the auxiliary inductor obtained from (64) is La ≤ 16.96 μH. To reduce the freewheeling interval and associated conduction losses, La should be chosen below this upper limit. Therefore, in this work, La = 10 μH is selected.
4.5. Auxiliary Capacitor Design
The auxiliary capacitor
Ca provides dv/dt for auxiliary switch
Sa during turn-off. For the main switch to realize ZVS turn-off, the voltage across the auxiliary capacitor must reach the voltage across C
1 at the end of stage 7. Since the auxiliary inductor supplies the required charging energy to the auxiliary capacitor, the capacitance value is determined according to Equation (65).
From Equation (65), the value of auxiliary capacitance Ca is obtained as Ca ≤ 10 nF. To improve the ZVS turn-off range when the converter operates at light load, Ca needs to be chosen as small as possible to the maximum value. Accordingly, a capacitance of 3.3 nF is chosen in this work.
4.6. Experimental Results
To validate the theoretical analysis of the proposed converter, an experimental prototype with a 1 kW rating was constructed. The details of parameters used in the experiment are outlined in
Table 2, and resistive load is employed during the measurements.
Figure 7a depicts a photograph of the developed dc–dc converter used in the laboratory setup, while
Figure 7b illustrates the experimental test arrangement.
The KEYSIGHT InfiniiVision MSOx2024A oscilloscope (Keysight Technologies, Santa Rosa, CA, USA) is employed to measure the current and voltage waveforms. A digital signal processor (DSP) platform based on the TMS320F28335 is employed to generate PWM gate signals for the MOSFETs in the experimental setup. The ePWM module is utilized to produce gate pulses with complementary duty ratios. The gate signal profiles, along with the measured output-voltage waveform corresponding to a 50 V input condition, are presented in
Figure 8a. As shown in
Figure 8a, the output voltage reaches 400 V, corresponding to a voltage-gain factor of 8. These results indicate that the proposed converter architecture supports high step-up voltage conversion capability.
The experimental results for the soft switching of main switches S
m1 and S
m2 are depicted in
Figure 9a,b. As illustrated in
Figure 9a, the control signal of the main switch S
m1, its drain–source voltage V
Sm1, and drain current i
Sm1 are compared. Similarly,
Figure 9b presents the corresponding waveforms for S
m2. It can be observed that the drain to source voltages of the main switches S
m1 and S
m2 reduce to zero prior to the application of the turn-on signal, confirming that each switch operates under ZVS at turn-on. Furthermore, the main switches also turn off under ZVS conditions, confirming the effectiveness of the proposed auxiliary circuit. Consequently, the two main switches in the dual branches achieve full ZVS during both switching intervals with the support of a single auxiliary network. Moreover, the voltage stress of each active switch remains limited to approximately one-half of the output voltage (200 V), which agrees with Equation (46).
Figure 10 illustrates the measured soft-switching behavior of the auxiliary switch S
a. As observed, the drain–source voltage V
Sa and drain current i
Sa confirm that the auxiliary switch S
a turns on under ZCS conditions due to the series resonant inductor. Once the device enters the on-state, the current through S
a rises in linear manner, while the drain–source voltage V
Sa falls to zero whereas i
Sa stays low, thereby achieving a soft turn-on transition. During turn-off, S
a operates under ZVS conditions because of the parallel resonant capacitor, which allows the voltage across the switch to rise only after the current has decayed to zero. Consequently, both ZCS turn-on and ZVS turn-off are achieved, resulting in very low switching losses in the auxiliary circuit. Moreover, as the auxiliary switch operates for only a brief interval in each cycle, the associated conduction losses in the auxiliary path are substantially reduced. Therefore, the introduction of the auxiliary circuit adds only minimal conduction losses while effectively reducing the overall switching losses of the main switches.
The experimental waveforms of D
1 and D
2 are illustrated in
Figure 11a and
Figure 11b, respectively. As demonstrated in
Figure 11a,b, the diode D
1 and D
2 is turned on with ZVS and turned off with ZCS. The reverse-recovery losses of the main diode were eliminated because the main diode turned off with ZCS due to the series inductor. In addition, the voltage stress across D
1 and D
2 is limited to about 200 V, i.e., nearly half of the output voltage, which shows that the proposed converter effectively reduces the voltage stress on the diodes.
Figure 12a–d shows the voltage and current waveforms of the voltage, as well as current waveforms of the auxiliary diodes D
a1, D
a2, D
a3, and D
a4. All the diodes turn off under soft-switching conditions, which eliminates reverse-recovery losses. Moreover, the voltage stress across each auxiliary diode is only half of the output voltage. For evaluating the converter’s stability under dynamic conditions, the input voltage was varied between 50 V and 80 V. The respective waveforms for the input voltage, input current, and output voltage are presented in
Figure 8b. Despite the changes in input voltage, the output voltage remains stable around the reference value of 400 V. This indicates that the converter can maintain a consistent output voltage across a range of input voltages. Therefore, the converter demonstrates strong dynamic stability. At rated power, the converter’s inductor currents I
Lm1 and I
Lm2 and the input current I
in are shown in
Figure 13.
Figure 13a presents I
Lm1 and I
Lm2 for an input of 50 V and an output of 400 V. Both inductor currents exhibit continuous conduction and are 180° out of phase, with nearly identical average values.
Figure 13b compares the input current I
in with I
Lm2; the input current is roughly twice that of i
Lm2 and exhibits significantly lower ripple than the inductor currents.
The measured efficiency characteristics are presented in
Figure 14. As observed from
Figure 14a, the efficiency of the proposed converter varies with the output power level. The proposed converter achieves over 92.5% efficiency across most load conditions. Under light-load operation, the efficiency is approximately 92.9% whereas at rated power, the peak efficiency reaches 95.46%.
Figure 14b illustrates how efficiency changes with respect to input voltage for a 1 kW, 400 V output. At V
in = 50 V, the minimum efficiency is 95.46% while the highest efficiency of 97.41% occurs when V
in = 80 V. Moreover, due to the soft-switching operation of the converter, switching losses are inherently minimized. As a result, the overall efficiency improves with increasing input volatge.
A comprehensive loss breakdown analysis was conducted to determine the efficiency of the proposed converter. Given the soft-switching operation of the converter, switching losses are assumed to be negligible. The remaining losses are divided into six parts. The first part is the capacitive turn-on loss of the auxiliary switch, which is calculated as 1/2CSaVSa(t0)fs = 0.55 W, where CSa is the switch parasitic capacitance and VS(t0) is the switch voltage before it is turned on. The second part consists of the switch conduction loss, which is computed as RDS(on)(I2Sm1,rms + I2Sm2,rms + I2Sa,rms) = 6.07 W, with RDS(on) representing the static drain-to-source on-resistance. The third part corresponds to the conduction loss in the diodes, calculated as VF (ID1,avg + ⋯ + IDa4,avg) = 21.76 W, where VF is the instantaneous forward voltage. The fourth part includes the conduction loss of the input inductors and auxiliary inductor, calculated as rLm(I2Lm1,rms + I2Lm2,rms) + rLaI2La,rms = 4.07 W, where rLm and rLa are the resistances of Lm and La, respectively. The fifth part is the ESR loss in the capacitors, calculated as (I2C1,rms + I2C2,rms + I2C3,rms)rc = 10.56 W, where rc is the series resistance. The sixth part is the inductor core loss, calculated as Pcore = PvVe = 2.52 W, where Pv is the core loss density and Ve is the effective core volume. Additionally, approximately 2 W is attributed to miscellaneous losses in the prototype, including PCB trace conduction losses, parasitic resistances, gate drive consumption, and minor switching-related losses not explicitly modeled.