CN109861405B - Load self-adaptive EC-WPT system based on stacked coupling mechanism and parameter design method - Google Patents
Load self-adaptive EC-WPT system based on stacked coupling mechanism and parameter design method Download PDFInfo
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Abstract
The invention discloses a load self-adaptive EC-WPT system based on a stacked coupling mechanism and a parameter design method 1 、P 2 、P 3 、P 4 The laminated coupling mechanism composed of four polar plates is used as an energy transmission channel, and the polar plate P 1 And a polar plate P 2 At the transmitting end, plate P 3 And a polar plate P 4 The transmitting end is arranged at the receiving end, the structures of the transmitting end and the receiving end in the laminated coupling mechanism are mutually symmetrical, and the transmitting end is also provided with a direct-current power supply, a high-frequency inverter circuit and an inductor L 1 Capacitor C 1 And an inductance L 2 The T-shaped LCL compensation network is provided with a compensation inductor L at the receiving end 3 A rectifying and filtering circuit and an equivalent load resistance. The effect is as follows: the system is guaranteed to provide required power for the load after the load is moved in, keep in a low input power state (standby mode) after the load is removed, and do not cause voltage and current overshoot on the inverter switch tube in the processes of moving in and removing.
Description
Technical Field
The invention relates to a wireless power transmission technology, in particular to a load self-adaptive EC-WPT system based on a stacked coupling mechanism and a parameter design method.
Background
The Wireless Power Transfer (WPT) technology is a technology that comprehensively utilizes Power electronic technology and modern control theory and realizes Wireless Power transmission through a soft medium, and has become a research hotspot both at home and abroad, and the World Economic Forum (WEF) also continuously lists the Wireless Power transmission technology as one of ten new technologies that have the greatest impact on the world and are most likely to provide answers to global challenges. The novel lead wire solves various problems caused by direct electrical contact of the traditional lead wire, and has wide application prospect. Among them, the research on the Magnetic-field Coupled Wireless Power Transfer (MC-WPT) technology is the most popular, and many theoretical and practical achievements have been obtained and gradually popularized and applied.
In recent years, an Electric-Field Coupled Wireless Power Transfer (EC-WPT) technology has been proposed, in which an Electric Field is used as an energy transmission medium. The electric field coupling mechanism is simple, light and thin, low in cost and easy to deform; in a working state, most of electric flux of the electric field coupling mechanism is distributed between the electrodes, and the electromagnetic interference to the surrounding environment is small; when a metal conductor exists between or around the electric field coupling mechanisms, eddy current loss of the conductor is not caused. The EC-WPT technology has complementary advantages with the MC-WPT technology, and therefore, the EC-WPT technology is more and more concerned by experts and scholars at home and abroad. At present, for the EC-WPT system, many experts and scholars have developed researches around LED lighting, wireless mouse, mobile phone, bioelectricity measurement, electric vehicle charging and the like, and have obtained numerous research results.
In the application of the EC-WPT system in supplying power to a movable load device, such as an electric vehicle wireless charging system, the power receiving end (including a receiving pole plate, a power regulating circuit, an equivalent load resistor and the like) of the movable load device often needs to be moved in and removed from the wireless power supply system, and the above working condition can be regarded as the change process of the load of the system between no-load and full-load, and for the sake of distinction, the movement in/removal of the power receiving end is referred to as the movement in/removal of the load. The coupling mechanism of the traditional EC-WPT system is formed by arranging two pairs of polar plates in parallel to form an energy transmission channel, when a load moves out, two polar plates of a receiving end need to be moved out simultaneously, and when the load moves in, two polar plates of the receiving end and two polar plates of a transmitting end need to be just opposite to each other, so that the spatial freedom degree is greatly limited, and the practical application of the EC-WPT system is also limited. In recent years, an EC-WPT system of a laminated coupling mechanism has been attracting attention, such as the laminated coupling mechanism and the ECPT system and system parameter design method of the structure thereof proposed by the present applicant, patent application No.: 201810566079.2, compared with the parallel coupling mechanism, the four polar plates of the stacked coupling mechanism are distributed in parallel and side by side, so as to greatly reduce the occupied area, and when the power is supplied to the mobile equipment, the load can be moved in and out more conveniently, which is more beneficial to practical application.
With current EC-WPT systems with stacked coupling mechanisms, voltage and current overshoots of inverter switching tubes and even damage to the switching tubes are often caused during load shifting in and out. And after the load is removed, the system still has large input power, which causes serious waste of system energy.
Disclosure of Invention
Aiming at the defects in the prior art, the invention provides an EC-WPT system of a laminated coupling mechanism, which has the characteristic of load self-adaption through reasonable design of parameters, namely, the load can not cause obvious voltage and current overshoot on an inverter switching tube when being moved in/removed at any time; when the load moves in, the system can efficiently and stably provide required power for the load; when the load is removed, the system can automatically enter a low input power mode (standby mode).
In order to achieve the above object, the present invention provides a load adaptive EC-WPT system based on a stacked coupling mechanism, which is characterized in that: the method comprises a transmitting end and a receiving end, wherein P is adopted between the transmitting end and the receiving end 1 、P 2 、P 3 、P 4 The laminated coupling mechanism composed of four polar plates is used as an energy transmission channel, and the polar plate P 1 And a polar plate P 2 At the transmitting end, a polar plate P 3 And a polar plate P 4 The transmitting end and the receiving end in the stacked coupling mechanism are symmetrical in structure, and the transmitting end is also provided with a direct-current power supply, a high-frequency inverter circuit and an inductor L 1 Capacitor C 1 And an inductance L 2 The T-shaped LCL compensation network is also provided with a compensation inductor L at the receiving end 3 A rectifying and filtering circuit and an equivalent load resistance.
Optionally, the stacked coupling mechanism is a stacked coupling mechanism with a groove, four pole plates are stacked, an inner pole plate is embedded in an outer pole plate, and an insulating dielectric material is filled between the inner pole plate and the outer pole plate.
Based on the system, the invention also provides a parameter design method of the load self-adaptive EC-WPT system, which comprises the following steps:
s1: determining the size and the spatial position of each pole plate in the stacked coupling mechanism according to the application occasions, and simultaneously determining the equivalent load resistance R L And a system operating frequency f;
s2: setting an initial value E of the input voltage of the system according to the required power level;
s3: setting a constant N according to the input power index requirement of the ECPT system in the required standby mode;
s4: obtaining the quality factor Q of the inductor by bridge measurement L Dielectric loss angle of capacitor
Port capacitance C between each polar plate in laminated coupling mechanism Tij (i, j ═ 1,2,3, 4; i ≠ j) and load shift-out back plate P 1 And a polar plate P 2 Coupling capacitance C between 12 * And through the port capacitance C between each plate Tij (i, j ≠ j) is derived as 1,2,3, 4; i ≠ j) ij (i,j＝1,2,3,4；i≠j)；
S5: according to the circuit topology, by an equivalent load resistance R L And a compensation inductance L 3 And a cross-coupling capacitor C in the stacked coupling mechanism ij (i, j ≠ j) 1,2,3, 4; i ≠ j) derives the inductance L under the condition that the load is not shifted out 2 Output impedance Z of the output port 4 The functional expression of (a);
s6: according to
Determining receiving end compensation inductance L 3 Wherein the system operating angular frequency ω is 2 pi f, Im (Z) 4 ) Is an inductance L 2 Output impedance Z of the output port 4 An imaginary part of (d);
s7: according to Re (Z) 4 )＝NR x Determining inductance L 2 And a coupling capacitor C 12 * Sum of equivalent series resistances R x ，Re(Z 4 ) Is an inductance L 2 Output impedance Z of the output port 4 The real part of (a);
s8: according to inductance L 2 And a coupling capacitor C 12 * Sum of equivalent series resistances R x Determining inductance L 2 The inductive reactance value of (a);
s9: according to the resonance condition
Determining inductance L 1 Inductance value and capacitance C 1 The capacitance value of (a);
s10: judging whether inequality constraint conditions are met: z in ＞NηU p 2 /P out If yes, determining final system parameters, if not, adjusting the constant N, and returning to step S4 for redesign, wherein:
Z in is an inductance L 1 An input impedance of the input terminal; eta is transmission efficiency, P out Output power required for the system, U p Is the effective value of the fundamental component of the input voltage.
Alternatively, when the constant N is set in step S3, if the input power in the standby mode is defined to be less than x% of the output power in the loaded operating state of the system, the constant N is set
Alternatively, the range of the system operating frequency f is selected to be between (500kHz, 1.5MHz) when it is empirically set.
Optionally, the inductance L is compensated empirically 3 Is selected to be in the range of (10. mu.H, 100. mu.H).
Optionally, the sum R of the equivalent series resistances in step S7 x ＝R 2 +R 12 * Wherein R is 2 ＝ωL 2 /Q L Representing inductance L 2 The equivalent series resistance of (a) is,
representing coupling capacitance C 12 * The equivalent series resistance of (1).
The invention has the remarkable effects that:
the invention provides a topology that an emitting end adopts LCL compensation and a receiving end adopts single inductance compensation, and the EC-WPT system based on a laminated coupling mechanism is a research object.
Drawings
In order to more clearly illustrate the detailed description of the invention or the technical solutions in the prior art, the drawings that are needed in the detailed description of the invention or the prior art will be briefly described below. Throughout the drawings, like elements or portions are generally identified by like reference numerals. In the drawings, elements or portions are not necessarily drawn to scale.
FIG. 1 is a cross-sectional view of a slotted stacked coupling mechanism in an embodiment of the present invention;
FIG. 2 is a schematic diagram of an EC-WPT system for a stacked coupling mechanism in an embodiment of the present invention;
FIG. 3 is a diagram illustrating port capacitance distribution among the plates in the stacked coupling structure shown in FIG. 1;
FIG. 4 is a cross-capacitance coupling model diagram of the stacked coupling structure shown in FIG. 1;
FIG. 5 is an equivalent circuit after the load has been removed;
FIG. 6 is an equivalent circuit of the load not shifted out;
FIG. 7 is an equivalent circuit of a pi-type coupling structure of the EC-WPT system;
FIG. 8 shows Re (Z) in an embodiment of the present invention 4 ) With f and L 3 A change relation graph;
FIG. 9 is a flow chart of parameter design in accordance with an embodiment of the present invention;
FIG. 10 is a waveform diagram of the inversion output of the loaded system in the simulation experiment;
FIG. 11 is a graph of input current waveforms during load shifting out and shifting in a simulation experiment;
FIG. 12 is a graph of load voltage and current waveforms in a simulation experiment;
FIG. 13 is a graph of the inverted output voltage and current waveforms in a specific validation experiment;
fig. 14 is a graph of current waveforms for load shift-out and shift-in processes in a specific verification experiment.
Detailed Description
Embodiments of the present invention will be described in detail below with reference to the accompanying drawings. The following examples are only for illustrating the technical solutions of the present invention more clearly, and therefore are only used as examples, and the protection scope of the present invention is not limited thereby.
It is to be noted that, unless otherwise specified, technical or scientific terms used herein shall have the ordinary meaning as understood by those skilled in the art to which the present invention belongs.
In order to further save space, the system adopts the laminated coupling mechanism with grooves, as shown in fig. 1, four pole plates are arranged in a laminated manner, an inner pole plate is embedded into an outer pole plate, and an insulating medium material is filled between the inner pole plate and the outer pole plate to keep insulation. The two polar plates connected with the power end are electric energy emitting polar plates, and the two polar plates connected with the load end are electric energy receiving polar plates. Because the transmitting terminal and the receiving terminal have the same size, and the inner side polar plate is embedded in the outer side polar plate, when the load equipment moves in and out, only the transmitting terminal is required to be ensured to be opposite to the outer side polar plate of the receiving terminal, and the flexibility of moving in and out of the EC-WPT system in practical application is greatly enhanced. The schematic diagram of the load adaptive EC-WPT system based on the stacked coupling mechanism adopted in the embodiment is shown in FIG. 2, where E is the DC input voltage u i To invert the output voltage. The coupling mechanism is composed of 1 、P 2 、P 3 And P 4 Four pole plates are arranged, and two pole plates P connected with power supply end 1 And P 2 Two polar plates P forming an energy emitting end and connected with a load end 3 And P 4 Four polar plates are cross-coupled with each other to form an energy receiving endAnd form an energy transmission channel. Energy is firstly input into a high-frequency inverter circuit by a direct-current power supply, the high-frequency inverter circuit converts direct current into high-frequency alternating current to be output, and the high-frequency alternating current passes through an inductor L 1 Capacitor C 1 And an inductance L 2 The formed T-shaped LCL compensation network is provided for a transmitting end of the coupling mechanism, and the transmitting end and a receiving end generate displacement current under the action of an interaction electric field to realize energy transmission between polar plates. Receiving end compensation inductance L 3 Further compensating the reactive power of the coupling mechanism, and finally providing electric energy for the load through rectification and filtering.
The transmission distance of the EC-WPT system is P 2 And P 4 The distance between them is recorded as d 1 A description of the dimensions of the coupling mechanism is identified in fig. 1. As can be seen from fig. 3 and 4, the four plates form six network ports, and the capacitance obtained from each port is referred to as port capacitance C Tij (i, j ═ 1,2,3, 4). In a capacitor network formed by four polar plates, every two polar plates are coupled to form a capacitor, and the four plates are cross-coupled to form six capacitors, which are defined as cross-coupling capacitors C ij (i，j＝1，2，3，4)。
Considering the cross coupling between the plates of the stacked coupling mechanism, when the four plates are fixedly placed, the actually measured capacitance between the two plates is not only the capacitance formed by the two plates, but also the capacitance of the network port. For example, as can be seen in conjunction with FIGS. 3 and 4, measurement P 1 And P 2 The values obtained by the two plates are not the capacitance formed by the two plates alone, but rather the capacitance values obtained from the network ports 1,2, i.e. the port capacitance C formed by the six capacitances shown in fig. 4 T12 . Similarly, it can be seen from FIG. 4 that the port capacitance obtained from the other ports also has C T13 、C T14 、C T23 、C T24 And C T34 。
After the sizes and the positions of the four pole plates are determined, the port capacitance can be determined, the cross coupling capacitance is correspondingly determined, and therefore, a certain functional relationship exists between the six port capacitances and the cross coupling capacitance, and C can be obtained through a basic circuit theory Tij And C ij Relational expression between。
The system designs circuit parameters under the control of fixed frequency, and works stably under the control of fixed frequency, thereby greatly reducing the control complexity of the system. After the load is shifted in, the input impedance of the system is in a low impedance state, and the system is required to be ensured to work in a ZPA state, so that ZVS is easily realized during the actual work of the system, and the requirements of the output power and the efficiency of the system are met; after the load is moved out, the input impedance is in a high impedance state to ensure that the system works in a low power state of a standby mode, and simultaneously, the system works in a ZPA state without frequency drift.
When the load is removed, i.e. from P 3 And P 4 The formed energy receiving polar plate and the subsequent circuit thereof are moved out, and the rest part forms a new circuit which can be equivalent to the circuit shown in fig. 5. U in the figure i Is a square wave voltage obtained by inverting DC, and has a fundamental component of u p Having an effective value of
C 12 * Is P 1 And P 2 Formed coupling capacitance different from port capacitance C T12 And also different from the cross coupling capacitor C 12 . Considering that the actual inductance and the plate capacitance have equivalent series resistance, if L is recorded 2 And C 12 * Has an equivalent series resistance of R 2 And R 12 R in the figure x Is an inductance L 2 And C 12 And has a sum of equivalent series resistances of R 2 ＝ωL 2 /Q L ，
Wherein Q L In order to obtain the quality factor of the inductor,
is the capacitive dielectric loss angle.
The fundamental wave approximation method is adopted to analyze the system, and the input impedance of the circuit can be obtained from the graph of FIG. 5 as follows:
in which omega is u i The angular frequency of the fundamental component. In order to make the system after the load is removed operate in the low power state of the standby mode, under the condition that the input voltage is not changed, the system input impedance must be in the high impedance state, and the system input power is reduced to the lower state. Because the system is required to work in the ZPA state, the imaginary part of the input impedance of the system should be zero, that is, the following conditions are satisfied:
substituting (2) into (1) can simplify the input impedance to:
in the formula Q L And
all can be obtained by bridge measurement. It can be seen from equation (3) that the input impedance is purely resistive, and the theoretical power factor of the system is 1. When the coupling mechanism is determined, then C 12 * And is determined accordingly. In order to make the system work in the standby mode, the proper f and C need to be designed 1 Make Z in Is in a high resistance state.
In this embodiment, in combination with the laminated coupling mechanism with a groove shown in fig. 1, the coupling mechanism with the dimensional parameters shown in table 1 is taken as a research sample, a system is analyzed and designed, each cross-coupling capacitance is measured through experiments, and further, the cross-coupling capacitance of the coupling mechanism can be obtained, as shown in table 2. Measuring the shifted out C by means of a bridge 12 * Is 400pF, Q L And
201 and 0.013, respectively.
TABLE 1 coupling mechanism dimensions
TABLE 2 Port capacitance and Cross-coupling capacitance values
In the state where the load is not shifted out, the equivalent circuit of the system is shown in fig. 6. The cross-coupled six-capacitor structure is simplified into a pi-type three-capacitor structure by kirchhoff's law, and the circuit shown in fig. 6 can be further simplified into the circuit shown in fig. 7. Can be deduced by establishing kirchhoff equation system
Since the coupling mechanism is generally symmetrical in size and position in practical applications, there is a C 34 ＝C 12 ，C 23 ＝C 14 Thereby enabling C to be substituted 11 、C 22 And C M Further simplified to obtain
As can be seen from fig. 7:
the resonant frequency of the system keeps the load consistent before and after shifting out, and in order to ensure that the system works in a ZPA state when the load is not shifted out, Z 4 The imaginary part must satisfy the following condition:
under the same ZPA working state, the system input impedance when the load is not moved can be obtained as
In the formula, Re (Z) 4 ) Is Z 4 The real part of (a). To ensure the normal power transmission of the system, it must be satisfied that the input impedance of the system with no load removed is in a low impedance state, i.e., Re (Z) must be satisfied 4 )＞＞R x 。
As can be seen from the formula (6), Z can be obtained at a constant time of the coupling mechanism and the load 4 With respect to the system operating frequency f and inductance L 3 Considering the system volume and system loss in practical application, the change rule of (f) and (L) are given according to experience 3 In the ranges of (500kHz, 1.5MHz) and (10. mu.H, 100. mu.H), respectively, and the equivalent load R is plotted eq Z in the case of 10. omega 4 Real part Re (Z) 4 ) With respect to f and L 3 As shown in fig. 8. After the system operating frequency is selected, the parameter L can be determined by solving equation (7) 3 To thereby further obtain Re (Z) 4 )。
If the power in the standby mode is defined to be less than x% of the power in the loaded operating state of the system, it can be deduced that:
where N is a constant and is determined by the power requirement index of the standby mode in the application.
If the effective value of the fundamental component of the input voltage is U p To ensure that the required output power of the system is P out Transmission efficiency η, the system input power must be greater than P out Eta, when the system input current should be larger than P out /(ηU p ) The input current in the system standby mode should not exceed P out /(NηU p ) Therefore, the input impedance should be higher than Neta U p 2 /P out Namely:
Z in ＞NηU p 2 /P out (10)
the above analysis gives a system parameter design flow chart as shown in fig. 9. According to the requirements in practical application, the equivalent load resistance, the coupling mechanism and the system working frequency can be determined firstly, and a constant N and an initial value of input voltage are given according to the input power requirement in a standby mode and the output power requirement in a system loaded working state. In order to ensure that the output power can meet the application requirement, a certain margin is left for the setting of the input voltage. After the coupling mechanism is determined, the capacitance of each port can be measured, and the cross coupling capacitance can be correspondingly calculated according to a formula. After simplifying the cross-coupling model, L can be obtained from equations (6) and (7) 3 Further determining Re (Z) 4 ). Given a constant N, R is determined according to equation (9) x L can be determined from the equivalent series resistance relationship 2 Finally obtaining L from formula (2) 1 And C 1 The value of (c). And then judging whether the input impedance relation meets the requirement, if so, giving system parameters, and if not, further adjusting the size of N.
Based on the parameter design method, the embodiment also provides system parameters shown in table 3, and an EC-WPT system simulation model is built under an MATLAB/Simulink simulation platform. Fig. 10 shows waveforms of the inverted output voltage and current of the EC-WPT system with the load not removed, and it can be seen that the output voltage and current of the system are in the same phase, and the system is in a ZPA state. Fig. 11 is a waveform of an input current during load shifting-out and shifting-in, and it can be seen that a current spike does not occur in the system during switching, and a current surge is not caused to the switching tube. When the load is removed, the input current amplitude is reduced to about 0.016A, the system input power is about 0.51W, and the system works in a standby mode. Fig. 12 shows the load voltage and current waveforms, and it can be seen that the output power of the system is 53W in the case of the system operating with a load.
TABLE 3 EC-WPT System parameter values
In order to further verify the effectiveness of the theory and method, a specific experimental device is further built according to the EC-WPT system topology shown in fig. 2 and the system parameters shown in table 3. The dimensions of the coupling mechanism are generally selected according to practical application, the coupling mechanism in the experiment is composed of four aluminum pole plates, dimensional parameters are shown in table 1, for the convenience of the experiment, an insulating tape is adopted between the same pole plates to carry out insulating treatment on the two pole plates, an acrylic gasket is used between a transmitting end and a receiving end to carry out electrical isolation, and the sizes of cross coupling capacitances of the coupling mechanism are obtained through measured port capacitances and are shown in table 2. The inductor is wound by a litz wire to form an air core inductor, the capacitor adopts a high-frequency high-voltage ceramic capacitor CCG81 series, a full-bridge inversion switching device adopts a silicon carbide MOSFET C2M0080120D of CREE company in America, and a rectifier bridge diode adopts a silicon carbide tube IDW30G65C of Infineon company. Considering that the system volume and the size of the hollow inductor are not too large, the working frequency of the system in the experiment is 1 MHz. Fig. 13 shows the inversion output voltage and current waveforms of the system, which shows that the system is weak and the system realizes ZVS operation. Fig. 14 is a waveform of the inverted output current of the system during the load shift-out and shift-in processes, and it can be seen that no current spike is generated in the dynamic processes before and after the shift-out, which illustrates that the design method is beneficial to improving the system reliability. After the load is shifted out, the amplitude of the inverter current is rapidly reduced to about 0.01A, at the moment, the output power of the system does not exceed 0.5W, and the system works in a standby mode; after the load is moved in, the system provides the load with its required power, with an output power of about 51W and an efficiency of 82%. Due to the adoption of the laminated coupling mechanism with the groove, when the load moves into the system again, no obvious dislocation occurs, the system at the moment is basically consistent with the system before the load moves out, and the situation can be explained by the fact that the deviation of the inversion current in the two load power supply modes in the front and back of fig. 14 is less than 0.5%.
In summary, the embodiments of the present invention verify this feature through simulation and experiment. It should be noted that the teachings and methods of the present invention are not limited to the exemplary coupling mechanisms described herein, and that the same methods and concepts can be used to design system parameters for other sized coupling mechanisms.
Finally, it should be noted that: the above examples are only intended to illustrate the technical solution of the present invention, but not to limit it; although the present invention has been described in detail with reference to the foregoing embodiments, it will be understood by those of ordinary skill in the art that: the technical solutions described in the foregoing embodiments may still be modified, or some or all of the technical features may be equivalently replaced; such modifications and substitutions do not depart from the spirit and scope of the embodiments of the present invention, and they should be construed as being covered by the appended claims and their equivalents.
Claims (4)
1. A parameter design method for a load self-adaptive EC-WPT system based on a stacked coupling mechanism comprises a transmitting end and a receiving end, wherein P is adopted between the transmitting end and the receiving end 1 、P 2 、P 3 、P 4 The laminated coupling mechanism composed of four polar plates is used as an energy transmission channel, and the polar plate P 1 And a polar plate P 2 At the transmitting end, plate P 3 And a polar plate P 4 The transmitting end and the receiving end in the stacked coupling mechanism are symmetrical in structure, and the transmitting end is also provided with a direct-current power supply, a high-frequency inverter circuit and an inductor L 1 Capacitor C 1 And an inductance L 2 The T-shaped LCL compensation network is also provided with a compensation inductor L at the receiving end 3 The rectifier filter circuit and the equivalent load resistor;
the method is characterized by comprising the following steps:
s1: determining the size and the spatial position of each pole plate in the stacked coupling mechanism according to the application occasions, and simultaneously determining the equivalent load resistance R L And a system operating frequency f;
s2: setting an initial value E of the input voltage of the system according to the required power;
s3: setting a constant N according to the input power index requirement of the ECPT system in the required standby mode;
s4: obtaining inductance quality by bridge measurementFactor Q L Dielectric loss angle of capacitor
Port capacitance C between each polar plate in laminated coupling mechanism Tij (i, j ═ 1,2,3, 4; i ≠ j) and receiving end removed back plate P 1 And a polar plate P 2 Coupling capacitance C between 12 * And through the port capacitance C between each plate Tij (i, j ≠ j) is derived as 1,2,3, 4; i ≠ j) ij (i,j＝1,2,3,4；i≠j)；
S5: according to the circuit topology, by an equivalent load resistance R L And a compensation inductance L 3 And a cross coupling capacitor C in the stacked coupling mechanism ij (i, j ═ 1,2,3, 4; i ≠ j) is deduced to obtain the inductance L in the state that the receiving end is not removed 2 Output impedance Z of the output port 4 The functional expression of (a);
s6: according to
Determining receiving end compensation inductance L 3 Wherein the system operating angular frequency ω is 2 pi f, Im (Z) 4 ) Is an inductance L 2 Output impedance Z of the output port 4 An imaginary part of (d);
s7: according to Re (Z) 4 )＝N·R x Determining inductance L 2 And a coupling capacitor C 12 * Sum of equivalent series resistances R x ，Re(Z 4 ) Is an inductance L 2 Output impedance Z of the output port 4 The real part of (a);
s8: according to inductance L 2 And a coupling capacitor C 12 * Equivalent series resistance sum R x Determining inductance L 2 The sensitivity value of (c);
s9: according to the resonance condition
Determining inductance L 1 Inductance value and capacitance C 1 The capacitance value of (c);
s10: judgment ofWhether inequality constraints are satisfied: z in ＞NηU p 2 /P out If yes, determining the final system parameter, if not, adjusting the constant N, and returning to step S3 to redesign the value of N, wherein:
Z in is an inductance L 1 An input impedance of the input terminal; eta is transmission efficiency, P out Output power required for the system, U p Is the effective value of the fundamental component of the input voltage.
2. The parameter design method of the load adaptive EC-WPT system based on the stacked coupling mechanism as claimed in claim 1, wherein:
when the constant N is set in step S3, if the input power in the standby mode is defined to be less than x% of the output power in the system under the loaded operation state, the constant N is set
3. The parameter design method of the load adaptive EC-WPT system based on the stacked coupling mechanism as claimed in claim 1, wherein: the operating frequency f of the system is set in a range selected between (500kHz, 1.5 MHz).
4. The parameter design method of the load adaptive EC-WPT system based on the stacked coupling mechanism as claimed in claim 1, wherein:
sum of equivalent series resistances R in step S7 x ＝R 2 +R 12 * Wherein R is 2 ＝ωL 2 /Q L Representing the inductance L 2 The equivalent series resistance of (a) is,
representing coupling capacitance C 12 * The equivalent series resistance of (1).
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