CN113964952A - Parameter design method for asymmetric MC-WPT system working in quasi-ideal transformer mode - Google Patents

Parameter design method for asymmetric MC-WPT system working in quasi-ideal transformer mode Download PDF

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CN113964952A
CN113964952A CN202111245176.XA CN202111245176A CN113964952A CN 113964952 A CN113964952 A CN 113964952A CN 202111245176 A CN202111245176 A CN 202111245176A CN 113964952 A CN113964952 A CN 113964952A
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ideal transformer
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廖志娟
吴凡
王玮
于荥
朱启威
夏晨阳
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China University of Mining and Technology CUMT
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    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
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    • H02J50/00—Circuit arrangements or systems for wireless supply or distribution of electric power
    • H02J50/10—Circuit arrangements or systems for wireless supply or distribution of electric power using inductive coupling
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Abstract

The invention relates to the technical field of MC-WPT, in particular to a parameter design method of an asymmetric MC-WPT system in a quasi-ideal transformer mode, which constructs mathematical relations among an original secondary side current amplitude ratio, an electrical parameter, system impedance, system transmission power, system transmission efficiency, system working frequency and other system parameters, and realizes the following steps: the system can work in an IT (ideal transformer) like working mode without primary and secondary side communication, the system achieves the expected effect that the amplitude ratio of primary and secondary side currents is completely determined by the inductance ratio of the primary and secondary sides, the amplitude ratio of the primary side current and the secondary side current of the system can be adjusted randomly according to different load power grades, the transmission efficiency and the output power of the system can be kept constant at a high level in a wide transmission range, the whole system has strong position robustness and transverse offset capability, and the system can have Zero Phase Angle (ZPA) characteristics no matter whether the system is in a strong coupling area or a weak coupling area, so that the system loss is further reduced.

Description

Parameter design method for asymmetric MC-WPT system working in quasi-ideal transformer mode
Technical Field
The invention relates to the technical field of MC-WPT (magnetic coupling wireless power transmission), in particular to a parameter design method of an asymmetric MC-WPT system working in a quasi-ideal transformer mode.
Background
MC-WPT systems are also known as loosely coupled transformers (loosely coupled systems if the transmit coil is located far from the receive coil). For an Ideal Transformer (IT) with a coupling coefficient close to 1, the ratio of the secondary-side to the primary-side current amplitude is determined entirely by the square root of the ratio of the primary inductance to the secondary inductance. If this characteristic can be extended to the weak coupling region, the current magnitude ratio does not vary with the coupling coefficient.
The magnetic coupling wireless power transmission (MC-WPT) technology is the most mature and widely applied WPT technology at present, and has been gradually applied to the fields of consumer electronics, household appliances, electric vehicles, and the like.
Most of the current research on MC-WPT systems is directed to systems where the primary and secondary coils are symmetrical. But for systems such as drones, there are strict geometric and weight constraints and also require a greater range of offset resistance and a higher level of output power. An asymmetric MC-WPT system with a large primary and a small secondary has incomparable advantages over a symmetric system: 1) the secondary coil with small volume and/or fewer turns can meet the requirements of volume and weight; 2) the internal resistance of the secondary coil is small, so that the secondary loss in high-power output can be reduced, and the transmission efficiency is improved; 3) the large-size multi-turn primary coil can enlarge the range of the coupling area, so that the offset resistance of the system is improved; 4) the coupling strength near the central point is high, the system is usually in a strong coupling state, but in the area, the frequency splitting phenomenon occurs in the system, the energy efficiency of the system is influenced, and meanwhile, in the area, the influence of current harmonics is also high, the current waveform is distorted, so that the switching loss is increased, the system efficiency is further reduced, and in order to improve the transmission efficiency, the primary current should be as small as possible while the secondary current level is ensured.
The asymmetric MC-WPT technology has attracted attention in recent years, but the related research is still less. Several studies on asymmetric system technologies exist and are summarized as follows: aiming at the frequency splitting phenomenon caused by strong coupling in the central area of an asymmetric MC-WPT system, an impedance matching network is adopted to eliminate the frequency splitting in the prior art, and a specific asymmetric coil is designed to generate a uniform magnetic field in a close range area so as to eliminate frequency division. Regarding the problem of current distortion caused by strong coupling to the central region of an asymmetric system, the conventional method generally adopts a control strategy for suppressing higher harmonics corresponding to system parameters. For the research of improving the efficiency of an asymmetric system, the efficiency improvement is realized by adjusting the ratio of the inductance of a primary coil and the inductance of a secondary coil through a DS-LSS topology, and the method is only suitable for the system under a specific topology, and a complete current amplitude regulation rule is not provided for matching the system.
For the method of eliminating frequency splitting, an impedance matching network needs additional circuit devices, and a matching inductor in a high-power scene usually needs a larger size, so that not only is the volume occupied, but also additional loss is brought. Meanwhile, the matching network varies from system to system. In addition, certain circuit topologies that eliminate frequency splitting may sacrifice other characteristics, such as Zero Phase Angle (ZPA) characteristics, thereby reducing the overall efficiency of the system. The transmission efficiency of the method for eliminating frequency splitting by using the uniform magnetic field is reduced along with the increase of the transmission distance; when the distance is long or the lateral deviation is large, the transmission efficiency is difficult to guarantee; in addition, the coil structure and parameters need to be strictly designed, and may vary with different scene sizes and power levels. For the method for suppressing the current harmonic wave under strong coupling, the method is only suitable for the strong coupling system. For an unmanned aerial vehicle system with strong coupling and weak coupling areas, circuit coupling needs to be determined first, and then different modes need to be switched. The method adopted by the DS-LSS topology for improving the transmission efficiency of the asymmetric system is not suitable for the common SS topology, and a corresponding current amplitude regulation rule is not provided to carry out system design according to a proper load.
In summary, the asymmetric MC-WPT technology has received great attention in recent years, but there are still few relevant studies. The research subject mainly comprises the technologies of matching network design, coil optimization design, topology design and the like for eliminating frequency splitting, improving the anti-offset characteristic of a system and improving the transmission efficiency of the system. However, no good solution exists at present no matter frequency splitting and current waveform distortion caused by strong coupling are researched, or system efficiency improvement under weak coupling is researched. The existing method is difficult to consider the system transmission efficiency and the system anti-offset capability at the same time. At present, the frequency splitting phenomenon and the current distortion phenomenon under the strong coupling state are not considered, the anti-offset capability of a system is considered, and the working mode and the parameter design standard for realizing high-efficiency energy transmission under different power level requirements can be met.
Disclosure of Invention
The invention provides a parameter design method of an asymmetric MC-WPT system working in a quasi-ideal transformer mode, which solves the technical problems that: how to make the asymmetric MC-WPT system not have frequency splitting phenomenon and current distortion phenomenon, but also consider the anti-offset capability of the system, and no matter the system is in the strong coupling area or the weak coupling area, the system can have the Zero Phase Angle (ZPA) characteristic, and the transmission efficiency and the output power of the system can be kept constant at a high level in a wide transmission range.
In order to solve the technical problems, the invention provides a parameter design method of an asymmetric MC-WPT system working in a quasi-ideal transformer mode, wherein the asymmetric MC-WPT system comprises a primary side circuit and a secondary side circuit, the primary side circuit comprises a direct current power supply, a primary side inverter, a primary side series resonance capacitor and a primary side coil which are sequentially connected, the secondary side circuit comprises a secondary side coil, a secondary side series resonance capacitor and a load which are sequentially connected, the primary side coil is larger than the secondary side coil, and therefore the primary side coil and the secondary side coil form an asymmetric coupling mechanism, and the parameter design method comprises the following steps:
s1: selecting rated power P and load value R according to requirements of high-power charging equipmentLRoot of Chinese characterAccording to
Figure BDA0003320609490000031
Figure BDA0003320609490000032
Determining the secondary current I2The size of (d);
s2: determining the self-inductance L of the secondary coil according to actual requirements2And internal resistance Rp2；
S3: selecting proper primary side current I on the premise of protecting the switching device from being damaged due to overlarge current1；
S4: determining secondary primary side current ratio coefficient
Figure BDA0003320609490000033
To obtain the self-inductance L of the primary coil1＝aL2；
S5: determining the natural frequency omega of the system according to the actual application requirement0And according to ω0、L1、L2Determining capacitance values C of primary side series resonance capacitor and secondary side series resonance capacitor1And C2；
S6: from ω0Starting to reduce or increase the switching frequency f of the primary side inverter to ensure that the low-frequency working frequency omega is determined when the system keeps the primary side voltage and the primary side current in the same phase1Or high frequency operating frequency omega2And outputting constant power P and constant efficiency eta.
Further, in step S5, according to
Figure BDA0003320609490000034
Determining a capacitance value C1And C2。
Further, in step S6,
Figure BDA0003320609490000041
is a quality factor of the secondary circuit, R2＝Rp2+RLThe resistance of the secondary side circuit is shown, and the coupling coefficient k is more than or equal to k0，k0Coupling coefficient for system operationThe lowest value of (c).
Further, the air conditioner is provided with a fan,
Figure BDA0003320609490000042
further, in step S6, the power is constant
Figure BDA0003320609490000043
U1Is the output voltage of the primary side inverter, R1＝Rp1+RsRepresenting the resistance of the primary circuit, Rp1Is the internal resistance of the primary winding, RsIs the internal resistance of the voltage source.
Further, constant efficiency
Figure BDA0003320609490000044
The invention provides a parameter design method of an asymmetric MC-WPT system working in a quasi-ideal transformer mode, which constructs mathematical relations among system parameters such as an original secondary side current amplitude ratio, an electrical parameter, system impedance, system transmission power, system transmission efficiency, system working frequency and the like, establishes a parameter design criterion of the asymmetric MC-WPT system, and realizes the following steps by designing the original secondary side parameters of the system to work in an asymmetric state:
1) the MC-WPT system can work in an IT (ideal transformer) -like working mode without primary and secondary side communication, so that the system achieves the expected effect that the primary and secondary side current amplitude ratio is completely determined by the primary and secondary side inductance ratio, the energy efficiency of the system is irrelevant to the mutual inductance between the primary and secondary sides, and the stability of the system is improved;
2) the amplitude ratio of the primary side current and the secondary side current of the system can be adjusted randomly according to different load power grades, and the method is suitable for systems with different power grades;
3) the transmission efficiency and the output power of the system can be kept constant at a high level in a wide transmission range, and the whole system has strong position robustness and transverse offset capability;
4) the system can have the Zero Phase Angle (ZPA) characteristic no matter the system is in a strong coupling area or a weak coupling area while meeting the current grade requirement (no frequency splitting phenomenon or current distortion phenomenon), and the system loss is further reduced.
Drawings
FIG. 1 is a topology diagram of an asymmetric MC-WPT system provided by an embodiment of the present invention;
fig. 2 is a flowchart of a parameter design method of an asymmetric MC-WPT system operating in an ideal transformer-like mode according to an embodiment of the present invention;
FIG. 3 is a simplified diagram of an asymmetric MC-WPT system provided by an embodiment of the present invention;
FIG. 4 is a diagram illustrating the variation of the system operating frequency with the coupling coefficient in the simulation according to the embodiment of the present invention;
FIG. 5 is a diagram showing the relationship between the primary and secondary side currents of the system in the simulation according to the embodiment of the present invention;
FIG. 6 is a diagram illustrating a relationship between a transmission efficiency of a system and a coupling coefficient in a simulation according to an embodiment of the present invention;
FIG. 7 is a diagram of the variation of the system output power with the coupling coefficient in the simulation provided by the embodiment of the present invention;
FIG. 8 is a diagram illustrating a relationship between a waveform phase angle of a primary-side voltage and a waveform phase angle of a primary-side current of a system in a simulation under an IT-like operating mode according to an embodiment of the present invention;
FIG. 9 shows a system in ω in simulation provided by an embodiment of the present invention0The waveform phase angle change relationship diagram of the primary side voltage and the primary side current in the working mode.
Detailed Description
The embodiments of the present invention will be described in detail below with reference to the accompanying drawings, which are given solely for the purpose of illustration and are not to be construed as limitations of the invention, including the drawings which are incorporated herein by reference and for illustration only and are not to be construed as limitations of the invention, since many variations thereof are possible without departing from the spirit and scope of the invention.
Figure 1 shows a topology of an asymmetric MC-WPT system, which can be seen to comprise a primary circuit and a secondary circuit, the primary circuitComprising sequentially connected DC power sources u1Primary side inverter and primary side series resonance capacitor C1And a primary coil L1(its internal resistance is R)p1) The secondary circuit comprises secondary coils L connected in sequence2(its internal resistance is R)p2) Secondary side series resonance capacitor C2Load RLPrimary winding L1Big, secondary side coil L2Small, M denotes the primary coil L1And secondary winding L2Mutual inductance therebetween, I1Representing the output current of the inverter, i.e., the primary current. Primary coil L1Compared with the secondary coil L2Therefore, they constitute an asymmetric coupling mechanism.
In order to enable the asymmetric MC-WPT system to work in the IT-like (ideal transformer) working mode, the parameter design method for the asymmetric MC-WPT system to work in the ideal transformer-like mode provided by the embodiment of the present invention corresponds to the flowchart of fig. 2, and includes the steps of:
s1: selecting rated power P and load value R according to requirements of high-power charging equipmentLAccording to
Figure BDA0003320609490000061
Figure BDA0003320609490000062
Determining the secondary current I2The size of (d);
s2: determining the self-inductance L of the secondary coil according to actual requirements2And internal resistance Rp2；
S3: selecting proper primary side current I on the premise of protecting the switching device from being damaged due to overlarge current1；
S4: determining secondary primary side current ratio coefficient
Figure BDA0003320609490000063
To obtain the self-inductance L of the primary coil1＝aL2；
S5: determining the natural frequency omega of the system according to the actual application requirement0(arbitrarily selected in the frequency band range of actual system operation) according to omega0、L1、L2Determining capacitance values C of primary side series resonance capacitor and secondary side series resonance capacitor1And C2；
S6: from ω0Starting to reduce or increase the switching frequency f of the primary side inverter to ensure that the low-frequency working frequency omega is determined when the system keeps the primary side voltage and the primary side current in the same phase1Or high frequency operating frequency omega2And outputting constant power P and constant efficiency eta.
It should be noted that steps S1 to S6 are not in a strict execution order, and may be adjusted according to a sequential logic relationship, such as in fig. 2. The voltage and current sensors in fig. 1 were used to measure the primary current and the inverter output voltage, as used in the experiments below. A zero phase angle comparator (or comparator) is used to compare the phase of the primary current to the inverter output voltage, as used in the experiments below. The switching frequency regulator is used for regulating the switching frequency of the primary side inverter, and is used in step S6 and the following experiment.
Wherein, in step S5, according to
Figure BDA0003320609490000064
Determining a capacitance value C1And C2。
The simplified circuit diagram of fig. 1 is shown in fig. 3. RsIs the internal resistance of the voltage source, U1Is the output voltage of the primary side inverter, I2Representing the secondary current.
Applying KVL to the system of the previous figure may yield a two-coil loop equation, as shown in equation (1):
Figure BDA0003320609490000065
wherein R is1＝Rp1+RsRepresenting the primary resistance, R2＝Rp2+RLResistance of meter secondary, X1＝ωL1-1/ωC1Denotes the primary side reactance, X2＝ωL2-1/ωC2Representing the secondary reactance.
The relationship between the secondary current and the primary current obtained according to equation (1) is:
Figure BDA0003320609490000071
the relationship between the amplitude ratio of the primary side current and the secondary side current is obtained as follows:
Figure BDA0003320609490000072
according to the introduction of the similar IT system, corresponding electrical parameters and operation modes are discussed, so that the MC-WPT system has the output characteristics of an ideal transformer in a wider transmission range, namely:
Figure BDA0003320609490000073
for asymmetric systems, L can be assumed1＝aL2Substituting the frequency into equation (3) to find the operating frequency ω at this time as:
Figure BDA0003320609490000074
k represents a coupling coefficient, k0The lowest value of the coupling coefficient for the system to work.
Figure BDA0003320609490000075
Is a quality factor of the secondary side circuit, which is usually greater than
Figure BDA0003320609490000076
The system has two working frequencies which are respectively low-frequency working frequency omega1With a high-frequency operating frequency omega2And satisfy the formula (3).
Mixing L with1＝aL2Substituting into the formula (1) to solve the primary and secondary side current amplitude, the result is:
Figure BDA0003320609490000077
from equation (5), IT can be seen that the operating frequency of the IT-like asymmetric system designed in this example must change as the coupling coefficient changes. Thus, the reactance X of both circuits1And X2Will also vary with the coupling coefficient and will not always equal zero. However, as can be seen from equation (6), as long as the system parameters satisfy X1＝aX2The amplitude of the primary and secondary side currents is constant and is not limited by the coupling coefficient and the working frequency.
Therefore, the working mode and the electrical parameters of the IT-like asymmetric system designed by the present example are designed as follows:
Figure BDA0003320609490000081
when equation (7) is satisfied, the primary and secondary side current amplitudes of equation (6) can be expressed as:
Figure BDA0003320609490000082
equation (8) shows that the proposed system has the same output characteristics as an ideal transformer over a larger transmission range: the amplitude ratio of the primary and secondary side currents in a large transmission range is completely determined by the primary and secondary side inductance ratio and is irrelevant to mutual inductance.
IT can also be found from equation (8) that when the system operates in the IT-like operating mode, the system can achieve zero phase angle output. That is, from the system natural frequency ω0Starting to reduce or increase the switching frequency F of the inverter circuit to make the voltage and current of the system in the same phase, and operating the system at the low-frequency operating frequency omega1Or high frequency operating frequency omega2And then, an IT-like working mode is realized, and the primary voltage and the current waveform have the same phase and have the characteristic of Zero Phase Angle (ZPA).
Meanwhile, when the above requirements are satisfied, the transmission power and transmission efficiency of the entire system can be obtained:
Figure BDA0003320609490000083
according to the above equation (9), the output power and transmission efficiency of the system are independent of the coupling coefficient (mutual inductance), i.e. the system can also realize the maintenance of constant transmission efficiency and output power within a certain transmission distance.
Therefore, the transmission power and the transmission efficiency of the whole MC-WPT system can be controlled by controlling the primary-secondary side current ratio coefficient, and the adjustment can be carried out according to the method for different practical application expectations.
It can be seen that the parameter design method for the asymmetric MC-WPT system provided in the embodiment of the present invention, which operates in the quasi-ideal transformer mode, constructs a mathematical relationship between the primary and secondary current amplitude ratios, the electrical parameters and the system parameters such as system impedance, system transmission power, system transmission efficiency, and system operating frequency, establishes a parameter design rule for the asymmetric MC-WPT system, and implements the following steps by designing the primary and secondary parameters of the system to operate in an asymmetric state:
1) the MC-WPT system can work in an IT (ideal transformer) -like working mode without primary and secondary side communication, so that the system achieves the expected effect that the primary and secondary side current amplitude ratio is completely determined by the primary and secondary side inductance ratio, the energy efficiency of the system is irrelevant to the mutual inductance between the primary and secondary sides, and the stability of the system is improved;
2) the amplitude ratio of the primary side current and the secondary side current of the system can be adjusted randomly according to different load power grades, and the method is suitable for systems with different power grades;
3) the transmission efficiency and the output power of the system can be kept constant at a high level in a wide transmission range, and the whole system has strong position robustness and transverse offset capability;
4) the system can have the Zero Phase Angle (ZPA) characteristic no matter the system is in a strong coupling area or a weak coupling area while meeting the current grade requirement (no frequency splitting phenomenon or current distortion phenomenon), and the system loss is further reduced.
For the above conclusions, this example uses MATLAB numerical simulation to verify the operating conditions and system characteristics, and the simulation parameters are shown in table 1.
Table 1 simulation parameter settings
Parameter(s) Numerical value
DC power supply U1/V 20
Internal resistance/omega of power supply 0.3
Self-inductance L of primary coil1/μH 398
Secondary coil self-inductance L2/μH 199
Internal resistance of coil Rp1,Rp2/Ω 0.2
Primary side compensation capacitor C1/nF 9
Secondary side compensation capacitor C2/nF 18
Load resistance RL/Ω 5
By changing the coupling coefficient of the system, the variation curves of the system operating frequency, the primary and secondary side currents, the transmission efficiency and the output power along with the coupling coefficient are respectively shown in fig. 4, 5, 6 and 7, and the waveform phase angle variation relationship between the primary side voltage and the primary side current of the system under the similar IT operating mode is shown in fig. 8, and is shown in omega0Fig. 9 shows the relationship between the waveform phase angle change of the primary-side voltage and the primary-side current in the operating mode.
As can be seen from the simulation results in FIG. 4, the coupling coefficient of the system is
Figure BDA0003320609490000101
Figure BDA0003320609490000102
In the process, under any coupling coefficient, the working frequencies of two systems can be solved, both meeting the system limiting condition, and the working frequencies in the state deviate from the inherent resonant frequency of the system.
According to the simulation result in fig. 5, IT can be seen that a certain working frequency is selected, then the ratio of the primary current and the secondary current does not change with the change of the coupling coefficient under the condition that the system satisfies the matching of the primary inductance and the secondary inductance and capacitance parameters, and the amplitude ratio of the primary loop current and the secondary loop current can be kept constant, that is, the system can realize an IT-like working mode, and realize an expected working state with small primary current and large secondary current.
As can be seen from the simulation results in fig. 6 and fig. 7, the transmission efficiency and the transmission power of the system can be kept constant at both operating frequencies, and the simulation result is consistent with the result of equation (7). The transmission efficiency and the transmission power of the system are independent of the coupling coefficient, namely the system can keep constant transmission power and transmission efficiency within a certain transmission distance.
As can be seen from the simulation result of fig. 8, when the system operates in the IT-like operation mode, the primary side voltage and the primary side current are in the same phase, and the system achieves the zero phase angle output characteristic. That is, when adjusting the systemWhen the primary voltage and the current are in the same phase, the system can work in an expected IT-like mode, and the operation is simple and convenient. While in other modes of operation (i.e., non-IT-like modes of operation), such as in omega0In the operating mode, there is some current distortion, as shown in fig. 9.
In conclusion, the simulation result is consistent with a theoretical derivation conclusion, the primary and secondary parameters of the system and the working frequency of the system are designed by controlling the primary and secondary current ratio coefficient, and the obtained system can realize an IT-like working mode and has the characteristics of larger secondary current than primary current, pure resistance of system impedance, constant output power, transmission efficiency and the like.
The above embodiments are preferred embodiments of the present invention, but the present invention is not limited to the above embodiments, and any other changes, modifications, substitutions, combinations, and simplifications which do not depart from the spirit and principle of the present invention should be construed as equivalents thereof, and all such changes, modifications, substitutions, combinations, and simplifications are intended to be included in the scope of the present invention.

Claims (7)

1. The parameter design method of the asymmetrical MC-WPT system working in the quasi-ideal transformer mode is characterized in that the parameter design method comprises the following steps of:
s1: selecting rated power P and load value R according to requirements of high-power charging equipmentLAccording to
Figure FDA0003320609480000011
Figure FDA0003320609480000012
Determining the secondary current I2The size of (d);
s2: determining the secondary side according to the actual requirementSelf-inductance L of coil2And internal resistance Rp2；
S3: selecting proper primary side current I on the premise of protecting the switching device from being damaged due to overlarge current1；
S4: determining secondary primary side current ratio coefficient
Figure FDA0003320609480000013
To obtain the self-inductance L of the primary coil1＝aL2；
S5: determining the natural frequency omega of the system according to the actual application requirement0And according to ω0、L1、L2Determining capacitance values C of primary side series resonance capacitor and secondary side series resonance capacitor1And C2；
S6: from ω0Starting to reduce or increase the switching frequency f of the primary side inverter to ensure that the low-frequency working frequency omega is determined when the system keeps the primary side voltage and the primary side current in the same phase1Or high frequency operating frequency omega2And outputting constant power P and constant efficiency eta.
2. The parameter design method of the asymmetric MC-WPT system working in the ideal transformer-like mode according to claim 1, is characterized in that: in step S5, according to
Figure FDA0003320609480000014
Determining a capacitance value C1And C2。
3. The parameter design method of the asymmetric MC-WPT system working in the ideal transformer-like mode according to claim 2, is characterized in that: in the step S6, in step S6,
Figure FDA0003320609480000015
Figure FDA0003320609480000016
is a quality factor of the secondary circuit, R2＝Rp2+RLThe resistance of the secondary side circuit is shown, and the coupling coefficient k is more than or equal to k0，k0The lowest value of the coupling coefficient for the system to work.
4. The parameter design method of the asymmetric MC-WPT system working in the ideal transformer-like mode according to claim 3, is characterized in that:
Figure FDA0003320609480000021
5. the parameter design method of the asymmetric MC-WPT system working in the ideal transformer-like mode according to claim 4, is characterized in that:
Figure FDA0003320609480000022
6. the parameter design method of the asymmetric MC-WPT system working in the ideal transformer-like mode according to any one of claims 3 to 5 is characterized in that: in step S6, constant power
Figure FDA0003320609480000023
RL，U1Is the output voltage of the primary side inverter, R1＝Rp1+RsRepresenting the resistance of the primary circuit, Rp1Is the internal resistance of the primary winding, RsIs the internal resistance of the voltage source.
7. The parameter design method of the asymmetric MC-WPT system working in the ideal transformer-like mode according to claim 6, is characterized in that: constant efficiency
Figure FDA0003320609480000024
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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO2024021161A1 (en) * 2022-07-28 2024-02-01 浙江大学 Method for coping with parameter change using pdm, so as to realize zvs of wpt system

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO2024021161A1 (en) * 2022-07-28 2024-02-01 浙江大学 Method for coping with parameter change using pdm, so as to realize zvs of wpt system

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