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Article

A Novel Pull-Up Active-Clamping Wireless Charging Circuit with Low Cost and Voltage Stress

1
Department of Electrical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China
2
Chuzhou Polytechnic, Chuzhou 239000, China
*
Author to whom correspondence should be addressed.
Electronics 2023, 12(13), 2834; https://doi.org/10.3390/electronics12132834
Submission received: 14 May 2023 / Revised: 22 June 2023 / Accepted: 23 June 2023 / Published: 27 June 2023

Abstract

:
The traditional single-switch circuit has the advantages of fewer components, no shoot-through problems, and suitability for high-frequency wireless charging applications. However, because of the high voltage stress of the switch, the bulky inductor, and the narrow soft-switching range, its power and applications have some limitations. To relieve this problem, this paper proposes a pull-up active-clamping circuit, which not only offers a low component count with no bulky inductors, but also greatly reduces the switch voltage stress. In addition, a wide range of soft switching can be achieved by designing a primary-side compensation capacitor. A detailed parametric design method is given and compared with existing circuits from the aspects of switch voltage stress, component count, efficiency, cost, and so on. Finally, a 1 MHz, 180 W active-clamping wireless charging system is built to verify the proposed circuit and design method.

1. Introduction

Wireless power transfer (WPT), which has great potential for development, has made the transmission methods and application scenarios of electricity more diverse and extensive. Wireless power transfer technology can transmit electrical energy without physical connections by using magnetic fields, electric fields, microwaves, and lasers, etc. Currently, WPT technology is widely used in electric vehicle charging, tailless kitchen power, portable devices, implantable medical devices, aerospace, rail transportation, and other fields. Since there is no physical connection, WPT technology has the advantages of convenience and flexibility, safety and reliability, and applicability to extreme situations compared to plug-in wired electrical energy transmission methods.
At present, the main circuit of wireless charging systems usually employs full bridge-voltage-type topology, a half-bridge topology, and a single-switch topology similar to a Class E circuit [1]. The bridge circuit generally requires more switch counts, complex gate-driving schemes, and may sometimes cause shoot-through issues. In addition, bridge circuits typically have high dv/dt drain source voltages, and significant dv/dt stress can decrease the life of insulation materials as time increases [2]. In addition, due to the need for complementary conduction in bridge circuits, it is not as reliable as a single-switch circuit in situations with high switching frequency.
Single switch circuits, like Class E, have the advantages of a smaller number of components, no shoot-through issues, a simple drive method, high reliability, and suitability for high-frequency wireless charging applications [3,4,5]. But, the switching voltage stress of a single switch circuit could be as high as three to four times the input voltage, limiting its output power and applications [6]. In addition, for infinite Class E circuits, a large inductor at the front is generally required; for finite Class E circuits, the inductor at the front is an AC inductor, both of which make the system power density decrease and circuit losses increase. Moreover, traditional single-switch circuits such as Class E also have a narrow soft-switching range, resonant waveform unipolar irregularity, low transmission power, bulky inductor, and other defects [7,8]. In [9], a Class EF circuit is proposed, in which an LC resonant tank is added to the traditional Class E circuit to reduce switching voltage stress. The authors in [10] proposed a single-switch circuit for medium-power wireless charging, which eliminates the requirement for a bulky input inductor within the main circuit. But, the Class EF circuit needs more resonant devices and DC inductors, reducing system power density, and the single-switch circuit also has high switch voltage stress.
Therefore, the design of a circuit with low switch voltage stress and low component count is important for small- and medium-power wireless charging applications. A novel pull-up active-clamping circuit is proposed in this paper for a low-cost and compact-size wireless charging system. The proposed circuit has a low component count, low switch voltage stress, and no bulky inductor, resulting in high reliability and small volume. Moreover, the circuit does not require an accurate complementary drive design; the duty cycle of the auxiliary switch can be constant, and the output power can be controlled by changing the duty cycle of the main switch. In addition, both the main switch and the auxiliary switch of the proposed pull-up active-clamping circuit can achieve zero turn-on voltage and low dv/dt waveform in a wide load resistance range. Compared with the pull-down active-clamping circuit, the proposed pull-up active-clamping circuit reduces the voltage of the clamping capacitor without changing its characteristics. This paper presents a detailed modal analysis of the circuit, analyzes the voltage stress of switches and parameters, designs the method, and gives a detailed design discussion and the formulas to optimize the compensation capacitors. The proposed pull-up active-clamping circuit is also compared with existing circuits on the basis of switching voltage stress, the number of components, system efficiency, and cost to verify the feasibility of the proposed circuit and parameter design method.

2. The Pull-Up Active-Clamping Wireless Charging System

2.1. Main Circuit

A traditional single-switch circuit, like the Class E circuit, is shown in Figure 1. This circuit typically demands a large input inductor L1 and a high switch voltage Q, resulting in low power density and low output power. In order to reduce the use of passive devices, especially inductors, and reduce the switch voltage stress, this paper proposes a pull-up active-clamping circuit for wireless charging applications, as shown in Figure 2. For ease of analysis, the input power supply is represented by a constant voltage source. Cp is a primary-side compensation capacitor, parallel with Lp, Q1 is the main switch, and Q2 is the auxiliary switch. Lp and Ls are the transmitter coil and receiving coil, respectively. Cs is the secondary-side compensation capacitor, in series with Ls. Cp and Cs constitute the typical WPT system with parallel-series (PS) compensation, respectively. A branch composed of switch Q2 and clamp capacitor Cc or Cc2, representing pull-down or pull-up, is added to the active-clamp circuit. Subsequently, the pull-up active clamp is used as an example for analysis.

2.2. Operation Principle of the Pull-Up Active-Clamping Circuit

Figure 3 shows the operation waveform of the proposed circuit via simulation. Here, ugs1 represents the driving waveform of the main switch Q1, ugs2 represents the driving waveform of Q2, uds1 represents the drain source waveform of Q1, uds2 represents the drain source waveform of Q2, uCp represents the voltage of the primary-side compensation capacitor, iLp represents the current of the transmitting coil, and uCc represents the voltage of the active-clamp capacitor. For the proposed pull-up active-clamping wireless charging circuit, the main switch and the auxiliary switch can be turned on at any duty cycle only to ensure a certain dead time, without the need for the complementary conduction of two switches like the half-bridge circuit. In addition, the larger the duty cycle of the main switch, the greater the output power. The auxiliary switch can conduct at any time during the process of turning off the main switch. In addition, the smaller the duty cycle of the auxiliary switch, the greater the voltage stress difference between the main switch and the auxiliary switch.
Figure 4 illustrates the six operating modes of the circuit. To facilitate the analysis, the following assumptions are presented.
(1)
There are no parasitic inductances or parasitic capacitors.
(2)
Switches and their body diodes are ideal.
(3)
The internal resistance of other devices is ignored, except for the internal resistance of the transmitting and receiving coils.
All switches are on the primary side. Equivalent the secondary side circuit to the primary side for analysis.
Mode 1 [t0 ~ t1]: In Mode 1, the body diode of the main switch Q1 is working in conduction to provide a reverse current path of iLp, so that the main switch Q1 can achieve ZVS at time t1, and in this period, the current of iLp decreases linearly to zero.
Mode 2 [t1 ~ t2]: In Mode 2, the main switch is turned on with the character of ZVS, the voltage of the primary-side compensation capacitor Cp is limited to the value of Udc, the current iLp increases linearly to ILp, and the voltage stress of the auxiliary switch Q2 is equal to Udc + uCc (t5).
Mode 3 [t2 ~ t3]: In Mode 3, all switches and diodes are turned off and the primary-side compensation capacitor Cp resonates with the transmitter coil Lp. Due to the fact that the period of this mode is very short, the value of iLp is approximately invariant, and the voltage of Cp decreases to zero and increases in reverse in this mode.
Mode 4 [t3 ~ t4]: In Mode 3, the voltage of Cp is reverse-charged to uCc (t5). In time t3, the body diode of the auxiliary switch Q2 is turned on, providing a current path for iLp and enabling the auxiliary switch Q2 to achieve ZVS. In this mode, Cc is parallel to Cp and then resonates with Lp. Cc will acquire the maximum voltage in one operation period, and the voltage stress on the main switch can be computed as in (13). In time t4, current iLp decreases to zero, which is the time to turn on the auxiliary switch Q2.
Mode 5 [t4 ~ t5]: In time t4, the auxiliary switch Q2 is turned on. In this mode, Lp is charged by Cc and Cp, and the current iLp increases in reverse. In time t5, the current iLp increases to the reverse maximum.
Mode 6 [t5 ~ t6]: In time t5, the auxiliary switch Q2 is turned off, and the primary-side compensation capacitor Cp resonates with the transmitting coil Lp. Due to the fact that the period of this operation mode is very short, the value of iLp is approximately invariant, and the voltage of Cp decreases to zero in reverse and increases to Udc in positive at time t6, and then Mode 6 ends and starts with Mode 1.

3. Switch Voltage Stress and Parameter Design

The operating process of the circuit is derived and the expression of the switch voltage stress is given to provide a basis for the circuit parameter design of the pull-up active-clamping wireless charging system.
In order to analyze and design the pull-up active-clamping wireless charging system proposed in this paper, the equivalent model when the main switch Q1 is on or the auxiliary switch Q2 is on is presented in Figure 5, where Zr is the impedance of the receiving circuit, Zin and Zc are the input impedances of the transmitting circuit when the main switch Q1 is turn on or the auxiliary switch Q2 is turn on, rp is the resistance of the Lp, and Cp is the primary compensation capacitor.
The equations of the state when the main switch is turned on can be listed as follows. The positive direction coincides with the marks drawn in Figure 5a.
U dc = i L p ( t ) ( Z r + r p ) + L p d i L p ( t ) d t
where iLp(t) is the instantaneous current value of the transmitter coil, the result is written as (2), where the range of t is 0 ~ DT.
i L p ( t ) = U dc Z r + r p ( 1 e t τ )
τ = L p Z r + r p
By combining Formulas (2) and (3) in the moment the main switch is turned off, the value of iLp(t) can be obtained:
I L p = U d c Z r + r p ( 1 e D T ( Z r + r p ) L p )
where D is the duty cycle of the main switch and T is the time of one switching cycle.
Based on Figure 5b, the equation for the state when the auxiliary switch is turned on can be listed as follows:
i L p ( t ) = ( C c + C p ) d u C p ( t ) d t u C p ( t ) = i L p ( t ) · ( Z r + r p ) + L p d i L p ( t ) d t
where uCp(t) is the instantaneous voltage value of the resonant capacitor Cp, and the positive direction is shown in Figure 5b. The minus of the secondary formula of (5) indicates that the actual direction of the current passing through the inductor Lp is the opposite of the direction marked in Figure 5b during this period. Because of the discriminant function of (5):
( Z r + r p ) 2 ( C p + C c ) 4 L p 4 L p 2 ( C p + C c ) < 0
According to (5), iLp(t) can be obtained:
i L p ( t ) = A e α t · sin ( β t + φ )
α = Z r + r p 2 L p β = 4 L p ( Z r + r p ) 2 · ( C p + C c ) 4 L p 2 ( C p + C c )
When parameter t in function (6) is equal to zero, that means the auxiliary switch has just been turned on. The value of iLp(t) and the differential of iLp(t) can be computed as follows:
I L p = A sin φ d i L p ( t ) d t t = 0 = A α sin φ + A β cos φ
From the above analysis, it is easy to conclude that the value of ILp in Formula (8) is equal to the value in Formula (4). By combining Formulas (1), (5) and (8), the voltage instantaneous value of uCp(t) can finally be computed as:
u C p ( t ) = A ( Z r + r p ) e α t sin ( β t + φ ) + L p A α e α t sin ( β t + φ ) + A β e α t cos ( β t + φ )
The equation can be rewritten to a conventional form as follows:
u C p ( t ) = A e α t ( Z r + r p + α ) 2 + β 2 L p 2 sin ( t + φ + γ )
where the coefficients A, φ, and γ can be computed as follows from Formulas (1), (8) and (9):
A = U dc I L p ( Z r + r p + α L p ) β L p 2 + I L p 2 φ = arctan I L p β L p U dc I L p ( Z r + r p + α L p ) γ = arctan ( β L p Z r + r p + α L p )
Due to the resonance of capacitor Cp and inductor Lp on the primary side when the main switch is turned off, the voltage value of Cp will reach the maximum at the moment of the current value of iLp(t) convert from positive to negative. From (6) and (10), the maximum voltage of Cp can be computed as follows:
u C p max = A β L p e α π φ β
Based on (12), the voltage stress of the main switch can be computed:
u Q 1 max = U dc + A β L p e α π φ β
According to (7), if the clamp capacitor is large enough, the value of β does not change a lot with the variation of the clamping capacitor so that the value of (13) can be considered as a constant. The values of Cs and Ls do not influence the switch voltage stress, and only a small number of parameters need to be changed to adjust the switch voltage stress, which provides a convenient method to further introduce control strategies and improve system operation stability.
In addition, from the analysis of the working process and theoretical analysis in Figure 4, it can be seen that the maximum voltage of the clamp capacitor is the same as the maximum value of the primary-side compensation capacitor Cp, which can also be expressed as:
u C c max = u C p max = A β L p e α π φ β
However, for a pull-down active-clamping circuit, the voltage of the clamp capacitor is the voltage of the primary-side compensation capacitor Cp plus the power source voltage, which is the voltage stress of the main switch. When the power source voltage is high, the voltage stress of the clamp capacitor will also be high, which is not conducive to capacitor selection. In addition, as the clamp capacitor Cc increases, the voltage stress difference between the main switch and the auxiliary switch becomes smaller, which means that within the same cycle, the clamp capacitor charges and discharges voltage less. Therefore, the voltage stress of the two switches can be changed by designing the value of the clamping capacitor Cc, in order to select a more suitable model and achieve the optimal cost.
The value of the compensation capacitor Cs can be calculated based on the theory of system total reactive power compensation, in which can achieve optimal system efficiency. The mathematical expression of which can be shown as follows:
ω 0 L s = 1 ω 0 C s
where ω0 is the operation angular frequency of this circuit.
The reflection impedance of the receiver also can be obtained:
Z r = π ω 0 M 2 8 R
Defining Zin as the total input impedance and Lp and Zr + rp as series firstly and then parallel to Cp, it can be calculated as shown:
Z in = ( Z r + r p + j ω L p ) / / 1 j ω C p
To allow this system to completely implement reactive power compensation, the imaginary Zin should equal zero, and Cp can be determined by:
C p = L p R eq 2 ω o 2 L p 2 R eq 2 + ω o 2 M 2 + r p R eq 2
where Req is equal to 8 R2. Generally, Cp should be less than this value to ensure weak inductance.
According to the above analysis, the whole parameter design method is as follows:
Firstly, the input voltage Udc, output voltage Uo, output current Io, and frequency f are determined. Then, the inductance of Lp, Ls, and Cs is defined based on the voltage gain required for the wireless charging circuit. Next, the primary compensation capacitance Cp can be calculated with (18). Finally, the design of the clamp capacitor needs to take into account the switching voltage stress and soft switching. For the selection of parameters, the inductance of the transmitting and receiving coils determines the gain of the circuit. Generally speaking, the smaller the ratio of the inductance of the transmitting and receiving coils, the greater the gain. The mutual inductance determines the power level of the circuit. The primary-side compensation capacitor Cp determines the range of soft switching in the circuit. As the primary-side compensation capacitor Cp decreases, soft switching becomes easier to achieve. However, if it continues to decrease, there may be secondary resonance problems. Therefore, the value of Cp can be optimized based on the range of soft switching. The value of clamp capacitor Cc determines the voltage stress difference between two switches. The larger the value of clamp capacitor Cc, the smaller the voltage stress difference between the switches. Therefore, the selection of switch models and the price of switches under different voltage stresses can be comprehensively considered to optimize the value of clamp capacitor Cc. This is verified through the simulation in the next section.
The parameters of the pull-up active-clamping circuit can be determined using the above design method, as shown in Table 1.

4. Simulation and Experiment Results

According to the parameters shown in Table 1, the pull-up active-clamping circuit is simulated, as shown in Figure 6.
From Figure 6, it can be seen that the simulation waveform of the proposed pull-up active-clamping circuit is consistent with the analysis of the working process in Section 2. Both the main switch and auxiliary switch have achieved zero voltage turn-on, and the average voltage of the clamp capacitor Cc is around −143 V. In order to compare with the pull-down clamping circuit, a simulation was conducted on the pull-down clamping circuit under the same input and output, as well as coil and capacitor parameters. The waveform is shown in Figure 7.
As shown in Figure 7, with the same parameters, the pull-down active-clamping circuit is basically the same as the pull-up active-clamping circuit in terms of output voltage, switch voltage stress, and coil current. However, the average clamp capacitor voltage of the pull-down active-clamping circuit is about 245 V, which is larger than that of the pull-up active-clamping circuit.
For the proposed pull-up active-clamping circuit, the voltage stress curves of the main switch and auxiliary switch were simulated as the clamping capacitor Cc changed, as shown in Figure 8.
As can be seen in Figure 8, as the clamping capacitor Cc changes from 10 nF to 110 nF, the main switch voltage stress gradually decreases, the auxiliary switch voltage stress gradually increases, the rate of change becomes slower and slower, and the voltage stress of the main switch is always higher than that of the auxiliary switch. According to the results shown in Figure 8, the selection of switches can be comprehensively considered to optimize Cc so as to achieve the optimal cost for the capacitance of the two switches and Cc.
To validate the proposed circuit, a 1 MHz 180 W wireless charging system was built and is shown in Figure 9.
Figure 10 shows the ZVS waveforms of the main switch and the auxiliary switch in the pull-up active-clamping circuit. The duty cycle of the main switch is 0.5 and that of the auxiliary switch is 0.3. It can be seen from Figure 10 that the measured voltage stress of the main and auxiliary switch is 250 V and 245 V, respectively, which is close to the theoretical results. Compared with the traditional single-switch converter, e.g., Class E in [7], the voltage stress of the switch decreases by 30.6% at the same input voltage. In addition, the ZVS margin of the main switch and auxiliary switch is 45 ns and 60 ns, respectively, indicating the high reliability of the circuit proposed in this paper and the correctness of the proposed parameter design method.
The variation of system output power and efficiency (dc to dc) with load resistance is drawn in Figure 11. It can be seen from Figure 11 that the output power increases as the load increases from 11 Ω to 15 Ω, and the output power decreases as the load increases from 15 Ω to 30 Ω. The maximum efficiency is about 91%, and the efficiency is above 88.5% during the whole load change process.
The power loss of each part of the system is shown in Figure 12. As can be seen, the switch loss and coil loss account for 25% and 34% of the circuit loss, which is the majority of the loss. Therefore, the efficiency can be further improved by selecting a switch with lower on-resistance or by reducing the AC resistance of the coils.
A comparison of the cost and efficiency of the Class E circuit with the pull-up active-clamping circuit is shown in Table 2. It can be seen from Table 2 that, although the active-clamp topology adds a switch and a clamp capacitor, the efficiency is similar to that of the Class E circuit due to low voltage stress and low on-resistance. However, the Class E circuit requires an AC inductor—a high-frequency AC inductor costs $3.49—and the active-clamp circuit does not require additional inductance. Moreover, due to the larger switch capacity required for Class E circuits, the total cost of power switches required is approximately 38% higher than that of active-clamp circuits. Therefore, the active-clamping circuit has great advantages in switch costs. (The prices in the table are all on the website: https://activity.szlcsc.com/, accessed on 1 March 2023).
The comparison between the proposed circuit and some wireless power transfer circuits on the number of devices, efficiency, and voltage stress ratio is given in Table 3. The voltage stress ratio is defined as the maximum voltage of the switch divided by the input voltage. As can be seen from Table 3, the pull-up active-clamping circuit does not require additional inductors compared to [7,8,11,12] and has less voltage stress compared to [10,11].

5. Conclusions

In this paper, a pull-up active-clamping circuit is proposed for small- or medium-power wireless charging. A low-cost and compact-size wireless charging system can be achieved due to the low component count and low-voltage-stress switch of the proposed pull-up active-clamping circuit. The experimental results validate the zero voltage turn-on and low dv/dt operations over a wide load resistance range. A 30.6% switch voltage stress reduction and a 38% power switch cost reduction are achieved in the prototype system. In addition, compared to the pull-down clamp circuit, the clamp capacitor voltage of the pull-up clamp circuit is lower, which has a greater cost advantage.

Author Contributions

Writing—original draft, B.P.; resources and conceptualization, H.L.; writing—review and editing, Y.W.; project administration, D.Z. All authors have read and agreed to the published version of the manuscript.

Funding

This research received no external funding.

Data Availability Statement

Not applicable.

Conflicts of Interest

The authors declare no conflict of interest.

References

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Figure 1. Class E circuit for wireless charging.
Figure 1. Class E circuit for wireless charging.
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Figure 2. Proposed pull-up active-clamping circuit for wireless charging.
Figure 2. Proposed pull-up active-clamping circuit for wireless charging.
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Figure 3. Operation waveforms of the circuit.
Figure 3. Operation waveforms of the circuit.
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Figure 4. Operation process. (a) Mode 1 [t0 ~ t1]. (b) Mode 2 [t1 ~ t2]. (c) Mode 3 [t2 ~ t3]. (d) Mode 4 [t3 ~ t4]. (e) Mode 5 [t4 ~ t5]. (f) Mode 6 [t5 ~ t6].
Figure 4. Operation process. (a) Mode 1 [t0 ~ t1]. (b) Mode 2 [t1 ~ t2]. (c) Mode 3 [t2 ~ t3]. (d) Mode 4 [t3 ~ t4]. (e) Mode 5 [t4 ~ t5]. (f) Mode 6 [t5 ~ t6].
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Figure 5. The equivalent model of the pull-up active-clamping wireless charging circuit. (a) Main switch Q1 is turned on. (b) Auxiliary switch Q2 is turned on.
Figure 5. The equivalent model of the pull-up active-clamping wireless charging circuit. (a) Main switch Q1 is turned on. (b) Auxiliary switch Q2 is turned on.
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Figure 6. Simulation diagram of the proposed pull-up active-clamping circuit.
Figure 6. Simulation diagram of the proposed pull-up active-clamping circuit.
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Figure 7. Simulation diagram of the pull-down active-clamping circuit.
Figure 7. Simulation diagram of the pull-down active-clamping circuit.
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Figure 8. Switch voltage stress under changes in the clamping capacitor.
Figure 8. Switch voltage stress under changes in the clamping capacitor.
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Figure 9. Experimental platform diagram of the proposed pull-up active-clamping circuit.
Figure 9. Experimental platform diagram of the proposed pull-up active-clamping circuit.
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Figure 10. ugs and uds waveforms of the active-clamping circuit. (a) Main switch. (b) Auxiliary switch.
Figure 10. ugs and uds waveforms of the active-clamping circuit. (a) Main switch. (b) Auxiliary switch.
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Figure 11. (a) The curve of output power. (b) The curve of efficiency.
Figure 11. (a) The curve of output power. (b) The curve of efficiency.
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Figure 12. The losses of the pull-up active-clamping circuit.
Figure 12. The losses of the pull-up active-clamping circuit.
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Table 1. The parameters of the pull-up active-clamping circuit.
Table 1. The parameters of the pull-up active-clamping circuit.
SymbolDefinitionValue
fFrequency1 MHz
UdcInput dc voltage100 V
UoOutput voltage60 V
IoOutput current3 A
LpTransmitting coil inductance5.5 μH
LsReceiving coil inductance30 μH
MMutual inductance3.5 μH
CpPrimary-side compensation capacitor220 pF
CsSecondary-side compensation capacitor844 pF
CcActive-clamp capacitor100 nF
Table 2. The comparison of two circuits in efficiency and switch cost.
Table 2. The comparison of two circuits in efficiency and switch cost.
Active Clamp CircuitClass E Circuit
Efficiency91%90.8%
Price of inductor--$3.49
Total switch price$0.69$1.12
Table 3. Performance comparison of various topologies.
Table 3. Performance comparison of various topologies.
CircuitFrequencyOutput Power Voltage Stress RatioNumber of InductorsEfficiency
ProposedActive clamp1 MHz180 W2.3091%
[7]Class E100 kHz450 W3.6190.3%
[9]Class EF6.78 MHz25 W2.5275%
[10]Single-switch100 kHz180 W4.8090.5%
[11]Class E26.78 MHz10 W4.06285%
[12]Class ϕ210 MHz18 W3185.5%
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MDPI and ACS Style

Pan, B.; Li, H.; Wang, Y.; Zhang, D. A Novel Pull-Up Active-Clamping Wireless Charging Circuit with Low Cost and Voltage Stress. Electronics 2023, 12, 2834. https://doi.org/10.3390/electronics12132834

AMA Style

Pan B, Li H, Wang Y, Zhang D. A Novel Pull-Up Active-Clamping Wireless Charging Circuit with Low Cost and Voltage Stress. Electronics. 2023; 12(13):2834. https://doi.org/10.3390/electronics12132834

Chicago/Turabian Style

Pan, Bo, Houji Li, Yong Wang, and Deshu Zhang. 2023. "A Novel Pull-Up Active-Clamping Wireless Charging Circuit with Low Cost and Voltage Stress" Electronics 12, no. 13: 2834. https://doi.org/10.3390/electronics12132834

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