CN116799928B - Capacitance parameter compensation method of S-S type wireless power supply system - Google Patents
Capacitance parameter compensation method of S-S type wireless power supply system Download PDFInfo
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Abstract
The application discloses a capacitance parameter compensation method of an S-S wireless power supply system, which relates to the technical field of wireless charging and comprises the following steps: obtaining resonance conditions of constant-current output and constant-voltage output decoupled from mutual inductance parameters; acquiring a system zero phase angle input condition under constant current output and constant voltage output conditions; obtaining constant-current output resonant frequency and mutual inductance parameters under constant-current output conditions, and obtaining constant-voltage output resonant frequency and mutual inductance parameters under constant-voltage output conditions; establishing an optimization objective function of the overall charging efficiency in the charging process, and establishing a nonlinear programming model with optimal charging efficiency; and outputting constant-current output working frequency and constant-voltage output working frequency corresponding to the optimal charging efficiency based on the nonlinear programming model. According to the invention, the constant-current output working frequency and the constant-voltage output working frequency of the system under the optimal efficiency can be rapidly found through the nonlinear programming model, so that the maximization of the charging efficiency is simply, conveniently and rapidly realized, the charging time is saved, and the charging efficiency is improved.
Description
Technical Field
The invention relates to the technical field of wireless charging, in particular to a capacitance parameter compensation method of an S-S type wireless power supply system.
Background
The inductive power transfer (Inductive Power Transfer, abbreviated as IPT) technology has been widely focused and studied due to its large power transfer capacity and high efficiency. Compared with the wired power transmission mode of the traditional electrical equipment, the characteristics of power transmission capability, efficiency, cost and the like are main indexes which are considered in the important aspects of researching a wireless power transmission system, and are important points of research in the current wireless power transmission field.
Depending on the application, IPT systems are often required to achieve constant current output or constant voltage output characteristics independent of the load, and in some applications, for example to charge a battery, even systems are required to have both constant current output characteristics and constant voltage output characteristics. In addition, in order to reduce the power supply burden and improve the efficiency of the system, the system should generally realize ZPA input, and on the basis, the parameters are adjusted to enable the input impedance angle of the system to present weak sensitivity, so as to realize ZVS operation of the inverter.
At present, in order to reduce the complexity of control, the IPT system can be switched from constant current output to constant voltage output by changing the frequency, and the ZPA input characteristic of the system can be maintained, however, the method is only suitable for a constant coupling working condition, and in an actual application scene, the variable coupling working condition is more common, for example, the mutual inductance parameter of the variable coupling working condition is changed every time the electric vehicle is at different stop positions, and the change belongs to discontinuous change, so that the constant current and constant voltage output characteristic is difficult to maintain under the variable coupling working condition.
Disclosure of Invention
The invention provides a capacitance parameter compensation method of an S-S wireless power supply system, which is used for solving the defect that the power supply system in the prior art is difficult to maintain constant-current constant-voltage output characteristics under a variable coupling working condition, and can realize the switching between constant-current charging and constant-voltage charging by changing the frequency, and ensure the maximized charging efficiency.
The invention provides a capacitance parameter compensation method of an S-S type wireless power supply system, which comprises the following steps:
obtaining resonance conditions of constant-current output and constant-voltage output decoupled from mutual inductance parameters;
based on a mutual inductance circuit model and a reflection impedance model, acquiring a system zero phase angle input condition under constant current output and constant voltage output conditions respectively;
based on the resonance condition and the zero phase angle input condition, constant-current output resonance frequency and mutual inductance parameters under constant-current output conditions are obtained, and constant-voltage output resonance frequency and mutual inductance parameters under constant-voltage output conditions are obtained;
establishing an optimization objective function of the overall charging efficiency of a constant-current charging stage and a constant-voltage charging stage in the charging process, respectively weighting the constant-current charging stage and the constant-voltage charging stage according to the charging time to obtain an average efficiency index function, and establishing a nonlinear programming model with optimal charging efficiency;
and outputting constant-current output working frequency and constant-voltage output working frequency corresponding to the optimal charging efficiency based on the nonlinear programming model.
According to the capacitance parameter compensation method of the S-S wireless power supply system provided by the invention, before the system zero phase angle input condition under the constant current output and constant voltage output conditions is obtained, the method comprises the following steps:
adjusting the resonant frequency of the system, and when the system meets the resonant condition of constant current output, outputting the constant current by the system to obtain the output current and transconductance of the system;
and adjusting the resonant frequency of the system, and when the system meets the resonant condition of constant voltage output, outputting the constant voltage by the system to acquire the output voltage and the voltage gain of the system.
According to the capacitance parameter compensation method of the S-S wireless power supply system, provided by the invention, the system zero phase angle input condition under the constant current output condition is respectively obtained based on the mutual inductance circuit model and the reflection impedance model, and the capacitance parameter compensation method comprises the following steps:
acquiring system input impedance and system reflection impedance under constant current output conditions:
based on the system input impedance and the system reflection impedance, a pure resistive condition of a system input impedance angle is obtained.
According to the capacitance parameter compensation method of the S-S wireless power supply system, provided by the invention, the system zero phase angle input condition under the constant voltage output condition is respectively obtained based on the mutual inductance circuit model and the reflection impedance model, and the capacitance parameter compensation method comprises the following steps:
acquiring the system input impedance and the system reflection impedance under the constant voltage output condition:
based on the system input impedance and the system reflection impedance, a pure resistive condition of a system input impedance angle is obtained.
According to the capacitance parameter compensation method of the S-S wireless power supply system provided by the invention, based on the resonance condition and the zero phase angle input condition, the constant current output resonance frequency and the mutual inductance parameter under the constant current output condition are obtained, and the constant voltage output resonance frequency and the mutual inductance parameter under the constant voltage output condition are obtained, and the capacitance parameter compensation method comprises the following steps:
based on the transconductance and voltage gain of the system, the inductance of the transmitting coil and the inductance of the receiving coil are obtained.
According to the capacitance parameter compensation method of the S-S wireless power supply system provided by the invention, an optimization objective function of the overall charging efficiency of a constant-current charging stage and a constant-voltage charging stage in the charging process is established, the constant-current charging stage and the constant-voltage charging stage are weighted according to the charging time to obtain an average efficiency index function, and a nonlinear programming model with optimal charging efficiency is established, and the method comprises the following steps:
obtaining mutual inductance of a transmitting coil and a receiving coil, obtaining mesh current at a corresponding position in a system, obtaining impedance of each element in the system, and enabling the numerical range of working frequency to be between constant-current output resonant frequency and constant-voltage output resonant frequency; obtaining a current vector;
based on the parameters, respectively obtaining the constant current output condition and the charging efficiency under the constant voltage output condition;
acquiring a resistance interval of an equivalent load in a constant-current charging stage, and acquiring a resistance interval of the equivalent load in a constant-voltage charging stage; dividing the resistance intervals of equivalent loads in the constant-current charging stage and the constant-voltage charging stage into a plurality of subintervals;
the method comprises the steps of establishing a functional relation among constant-current output resonant frequency, constant-voltage output resonant frequency, mutual inductance and overall charging efficiency, and establishing an optimization objective function with the maximum overall charging efficiency as a target:
；
wherein,for constant current charging time, < >>For constant voltage charging time, +.>In order to achieve a total time for the charging,for constant current charging efficiency>For constant voltage charging efficiency>For constant current output resonant frequency, < >>For equivalent load in constant current charging phase +.>For constant voltage output resonant frequency, < >>For equivalent load in constant voltage charging phase +.>For the equal part of the equivalent load resistance section in the constant current charging stage, +.>For the equal parts of the equivalent load resistance section in the constant voltage charging stage, M is the mutual inductance.
The invention also provides an electronic device comprising a memory, a processor and a computer program stored on the memory and executable on the processor, the processor implementing the steps of any of the methods described above when the program is executed.
The invention also provides a non-transitory computer readable storage medium having stored thereon a computer program which, when executed by a processor, implements the steps of any of the methods described above.
According to the capacitance parameter compensation method of the S-S wireless power supply system, provided by the invention, other parameters including capacitance parameters in a circuit and inductance parameters are decoupled by acquiring constant-current and constant-voltage output conditions of a compensation structure irrelevant to mutual inductance parameters, so that switching from constant-current output to constant-voltage output can be directly realized by adjusting the frequency; in order to optimize the output efficiency of the system, only the frequency is required to be reasonably adjusted, and the constant-current output working frequency and the constant-voltage output working frequency of the system under the optimal efficiency can be rapidly found through the improved genetic algorithm, so that the maximization of the charging efficiency can be simply, conveniently and rapidly realized, the charging time can be saved, and the charging efficiency can be improved.
Drawings
In order to more clearly illustrate the invention or the technical solutions of the prior art, the following description will briefly explain the drawings used in the embodiments or the description of the prior art, and it is obvious that the drawings in the following description are some embodiments of the invention, and other drawings can be obtained according to the drawings without inventive effort for a person skilled in the art.
Fig. 1 is a schematic flow chart of a capacitance parameter compensation method of an S-S wireless power supply system according to the present invention;
FIG. 2 is a schematic diagram of a prior art first-order two-port network;
FIG. 3 is a schematic diagram of a prior art two-port network;
FIG. 4 is a schematic diagram of a prior art three-stage two-port network;
FIG. 5 is a schematic diagram of a constant current output cascade equivalent circuit of the double-sided LCC compensation structure provided by the invention;
FIG. 6 is a schematic diagram of a constant voltage output cascade equivalent circuit of the double-sided LCC compensation structure provided by the invention;
FIG. 7 is a schematic diagram of a mutual inductance circuit and an equivalent reflection impedance circuit of the dual-sided LCC compensation structure provided by the invention;
fig. 8 is a schematic diagram of an equivalent circuit of a dual-sided LCC-IPT system provided by the invention.
Detailed Description
For the purpose of making the objects, technical solutions and advantages of the present invention more apparent, the technical solutions of the present invention will be clearly and completely described below with reference to the accompanying drawings, and it is apparent that the described embodiments are some embodiments of the present invention, not all embodiments. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without making any inventive effort, are intended to be within the scope of the invention.
The terms "comprising" and "having" and any variations thereof in the description and claims of the present application and in the foregoing drawings are intended to cover non-exclusive inclusions. For example, a process, method, system, article, or apparatus that comprises a list of steps or modules is not limited to only those steps or modules but may include other steps or modules not expressly listed or inherent to such process, method, article, or apparatus.
It should be noted that the term "first/second" related to the present invention is merely to distinguish similar objects, and does not represent a specific order for the objects, and it should be understood that "first/second" may interchange a specific order or precedence where allowed. It is to be understood that the "first\second" distinguishing aspects may be interchanged where appropriate to enable embodiments of the invention described herein to be implemented in sequences other than those described or illustrated herein.
In one embodiment, as shown in fig. 1, the present invention provides a method for compensating capacitance parameters of an S-S wireless power supply system, specifically provides a method for compensating parameters of an IPT system under variable coupling conditions, including:
obtaining resonance conditions of constant-current output and constant-voltage output decoupled from mutual inductance parameters;
based on a mutual inductance circuit model and a reflection impedance model, acquiring a system zero phase angle input condition under constant current output and constant voltage output conditions respectively;
based on the resonance condition and the zero phase angle input condition, constant-current output resonance frequency and mutual inductance parameters under constant-current output conditions are obtained, and constant-voltage output resonance frequency and mutual inductance parameters under constant-voltage output conditions are obtained;
establishing an optimization objective function of the overall charging efficiency of a constant-current charging stage and a constant-voltage charging stage in the charging process, respectively weighting the constant-current charging stage and the constant-voltage charging stage according to the charging time to obtain an average efficiency index function, and establishing a nonlinear programming model with optimal charging efficiency;
based on the nonlinear programming model, outputting constant-current output working frequency and constant-voltage output working frequency corresponding to optimal charging efficiency;
as an example, obtaining resonance conditions of constant current output and constant voltage output decoupled from mutual inductance parameters includes:
taking a low-order two-port network in the prior art as an example to calculate to obtain constant-current constant-voltage output characteristics of the first-order, second-order and third-order two-port networks:
as shown in fig. 2, the first-order two-port network is provided, the left-side circuit is connected in series, and the right-side circuit is connected in parallel; wherein the method comprises the steps ofAnd->Is the lumped reactance on the corresponding leg. The output characteristics of the first-order two-port network are very simple, and the series reactance is +.>On the same branch as the load resistor, so that the output current is equal to the input current, i.e. +.>The method comprises the steps of carrying out a first treatment on the surface of the Similarly, the parallel reactance is also easily obtained>In the case of an output voltage equal to the input voltage, i.e. +.>。
Furthermore, when lumped reactance is connected in seriesEqual to zero or parallel lumped reactance->When approaching infinity, the power supply in the first-order two-port network is directly connected with the load to connect the two portsThe network is defined as a zero-order two-port circuit, and the voltage and the current on the load resistor are equal to the voltage and the current of the power supply because the power supply and the load resistor are directly connected;
as shown in fig. 3, a two-port network, a left side circuit is of a positive L-shape, a right side circuit is of a negative L-shape,、/>、and->Lumped reactance on the corresponding road respectively;
the output voltage of the positive L-shaped circuit and the output current of the negative L-shaped circuit can be deduced by using the kirchhoff voltage law, and the output voltages are respectively as follows:
（1）
（2）
as can be seen from the formulas (1) and (2), to achieve constant current or constant voltage characteristics independent of load, it is necessary to satisfy the resonance condition:
（3）
（4）
in this case, the formulae (1) and (2) can be simplified as:
（5）
（6）
it can be seen that if the input is a current source, when the resonance condition (3) is satisfied, the positive L-type two-port network can realize constant voltage output; if the input is a voltage source, when the resonance condition (4) is satisfied, the inverted-L-shaped two-port network can realize constant current output. At this time, under the resonance condition, the input impedance of the positive L-shaped two-port network and the input impedance of the negative L-shaped two-port network are respectively:
（7）
（8）
fig. 4 is a three-stage two-port network, wherein the left side circuit is T-shaped, the right side circuit is pi-shaped,、/>、/>、、/>and->Lumped reactance on the corresponding road:
the output voltage of the T-type circuit and the output current of the pi-type circuit can be deduced from the kirchhoff voltage law respectively:
（9）
（10）
as can be seen from the formulas (9) and (10), to achieve constant current or constant voltage characteristics independent of load, it is necessary to satisfy the resonance condition:
（11）
（12）
in this case, the formulae (9) and (10) can be simplified as:
（13）
（14）
it can be seen that if the input is a voltage source, when the resonance condition (11) is satisfied, the T-type two-port network can realize constant voltage output; if the input is a current source, the pi-type two-port network can realize constant current output when the resonance condition (12) is satisfied. At this time, under the resonance condition, the input impedance of the T-type two-port network and the pi-type two-port network are respectively:
based on the theoretical basis, as shown in fig. 5, a constant current output cascade equivalent circuit diagram of the bilateral LCC compensation structure is shown; assuming that the input is a voltage source, in order to realize constant current output, the circuit can be equivalent to cascade connection of a second-order inverse L-shaped circuit, a first-order series circuit, a third-order pi-shaped circuit and a first-order series circuit, as shown in fig. 5, the output change rule of each stage of two ports is: voltage source-current source;
assume thatFor the resonant frequency of the system operating under constant current conditions, the subscript CC indicates the constant current output, and in fig. 5, when conditions (4) and (12) are satisfied, the system is the constant current output, that is:
at this time, the output current and transconductance of the system are respectively:
（19）
on the other hand, in order to realize constant voltage output, the primary side circuit is connected in parallel with a capacitorSplitting into capacitorsAnd capacitance->Parallel connection of->；
The circuit can be equivalently used as cascade connection of a second-order inverse L-shaped circuit, a third-order pi-shaped circuit, a first-order series circuit and a second-order positive L-shaped circuit, and the obtained constant voltage output cascade equivalent circuit is shown in fig. 6, so that the output change rule of each stage of two ports is as follows: voltage source→current source→voltage source:
assume thatOperating at constant pressure for the systemThe resonance frequency under the element, subscript CV, indicates constant voltage output, and in fig. 6, when conditions (4), (12) and (3) are satisfied, the system is in a constant voltage output state, that is:
（21）
（22）
（23）
at this time, the output voltage and the voltage gain of the system are respectively:
from the above analysis, it can be seen that when the parameters of the compensating structure of the system satisfy the conditions (17), (18), (21), (22) and (23), the system is at frequencyAnd->Constant current output and constant voltage output are respectively realized.
As can be seen from the resonance conditions, the resonance conditions of the constant current output and the constant voltage output of the system are decoupled from the mutual inductance parameters, so that the system still maintains the constant current output characteristic and the constant voltage output characteristic after the mutual inductance parameters are changed, and the system parameters do not need to be redesigned.
In addition, in the constant current output and the constant voltage output, in order to ensure that the IPT system is in the ZPA input state, the input impedance parameter of the system needs to be further restrained.
Further, based on the above parameters, analyzing ZPA input conditions of the system includes:
based on a mutual inductance circuit model and a reflection impedance model, the system zero phase angle input condition under the constant current output condition is respectively obtained, and the method comprises the following steps:
acquiring system input impedance and system reflection impedance under constant current output conditions:
based on the system input impedance and the system reflection impedance, obtaining a pure resistive condition of a system input impedance angle;
specifically, the mutual inductance circuit and the reflection impedance circuit model are utilized to analyze the input impedance characteristics of the system during constant-current output and constant-voltage output, and fig. 7 is a mutual inductance circuit diagram and an equivalent reflection impedance circuit diagram of the bilateral LCC compensation structure;
under the constant current output condition, as can be seen from the reflection impedance circuit diagram in fig. 7, the input impedance of the system is:
substituting (17) into the above equation, the input impedance of the system can be obtained as:
from the mutual inductance circuit diagram in fig. 7, the secondary side circuit impedance can be obtained as:
substituting (18) into the above formula, it is possible to obtain:
therefore, under the constant current output condition, the reflection impedance of the system is as follows:
substituting (30) into (27) to obtain:
（31）
to ensure that the input impedance angle of the system is purely resistive, i.eThen the following formula is required to be satisfied
As is readily apparent from the analysis, the formula (32) is constantly established when the following condition is satisfied;
when the formulas (33) and (34) are simultaneously satisfied, the degree of freedom of parameters is reduced, and the optimal design of the parameters is not facilitated, so that the resonance condition is adopted only when the bilateral LCC compensation structure is used for constant current output;
on the other hand, based on mutual inductance circuit model and reflection impedance model, obtain the system zero phase angle input condition under the constant voltage output condition respectively, include:
acquiring the system input impedance and the system reflection impedance under the constant voltage output condition:
based on the system input impedance and the system reflection impedance, obtaining a pure resistive condition of a system input impedance angle;
specifically, under the constant voltage output condition, based on the reflection impedance circuit diagram in fig. 7, the system input impedance is:
substituting (21) and (22) into the above, the input impedance of the system is obtained as follows:
from the mutual inductance circuit diagram in fig. 6, the secondary side circuit impedance can be deduced as:
substituting (23) into the above formula, it is possible to obtain:
therefore, under constant voltage output conditions, the reflected impedance of the system is:
substituting (39) into (36) to obtain:
to ensure that the input impedance angle of the system is purely resistive, i.eThe following formula is satisfied:
further, to optimize the output efficiency of the system, the frequency needs to be optimized, and other parameters in the system are determined through the constant current output frequency and the constant voltage output frequency, including:
in general, depending on the actual situation, the output parameters of the system are given, for example, the charging current in the constant current phase and the charging voltage in the constant voltage phase are determined when charging the batteryA kind of electronic device. Thus, based on the transconductance of a given systemAnd voltage gain->Solving for other parameters of the system;
from (17), (21)The method can obtain:
is obtained from (42)
Is obtained from transconductance conditions (20) and voltage gain conditions (25)
Substituting (43) into (44) to obtain
Substituting (45) into (42) to obtain
Substituting (47) into (20) to obtain
Substituting (49) into (23) and (18) to obtain
Substituting (46) into (22)
The inductance of the transmitting coil obtained by (32) is
Substituting (47), (49), (50) and (52) into (53) can be obtained
The inductance of the receiving coil obtained by (41) is
By substituting (49), (51), (45), (46) and (47) into (54), the product can be obtained
Thus, the inductance of the coil is only related to the transconductance of the systemAnd voltage gain->The constant current output resonant frequency and the constant voltage output resonant frequency are related;
further, based on the above parameters, the transmission efficiency of the resonant cavity is optimized, the internal resistance of the coupling coil is considered,、/>the equivalent internal resistances of the coupling coils are respectively the primary side and the secondary side;
an optimization objective function of the overall charging efficiency of a constant-current charging stage and a constant-voltage charging stage in the charging process is established, the constant-current charging stage and the constant-voltage charging stage are weighted according to the charging time to obtain an average efficiency index function, and a nonlinear programming model with optimal charging efficiency is established, and the method comprises the following steps:
taking the equivalent circuit of the bilateral LCC-IPT system shown in fig. 8 as an example;
acquiring mutual inductance M of a transmitting coil and a receiving coil, and acquiring mesh current at corresponding position of the system in FIG. 8、/>、/>、/>；
Acquiring impedance of individual elements in a system、/>、/>、、/>、/>、/>、/>Definitions->Wherein the operating frequency satisfies->The numerical range of the working frequency is between the constant-current output resonant frequency and the constant-voltage output resonant frequency;
in fig. 8, the matrix available according to kirchhoff's voltage law is as follows:
the matrix is a sparse matrix, and each non-zero element satisfies the following conditions:
the term (57) is referred to asThe current vector thus obtained is:
based on the above parameters, the charging efficiency under the constant current output condition and the constant voltage output condition are respectively obtained:
wherein the subscript CC represents each output parameter of the system operating at constant current frequency; the subscript CV indicates the various output parameters of the system operating at constant voltage frequency.
It should be noted that, in the actual charging process of the battery, in the constant current charging stage, as the battery voltage slowly increases, the equivalent resistance at the load side slowly increases, and the duration of the process is longer; when the voltage of the battery reaches a certain value, the battery starts to be changed into constant voltage charge, the current continuously and rapidly drops, and the equivalent resistance at the load side continuously and rapidly increases;
thereby presetting the equivalent load in the constant current charging stageThe resistance interval of (2) is +.>To->In the constant voltage charging phase equivalent load +.>The resistance interval of (2) is +.>To->Dividing the resistance intervals of equivalent loads in the constant-current charging stage and the constant-voltage charging stage into a plurality of subintervals;
the method comprises the steps of establishing a functional relation among constant-current output resonant frequency, constant-voltage output resonant frequency, mutual inductance and overall charging efficiency, and establishing an optimization objective function with the maximum overall charging efficiency as a target:
（61）
wherein,for constant current charging efficiency>For constant voltage charging efficiency>For constant current output resonant frequency, < >>For equivalent load in constant current charging phase +.>For constant voltage output resonant frequency, < >>Is an equivalent load in the constant voltage charging phase; equivalent load +.>In the range (+)>,/>) Go->Equally dividing, constant voltage charging stage equivalent load +.>In the range (+)>,/>) Go->Aliquoting (aliquoting) of (I) of (II)>For the entire charging phase duration, +.>For constant current charging duration, +.>For constant voltage charging time, weighting the constant current charging stage and the constant voltage charging stage according to the charging time to obtain an average efficiency index function +.>For maximum solution efficiency index function value, a nonlinear programming model with optimal efficiency is established as follows:
wherein the value of the compensation parameter is necessarily a positive number, so the resonance frequency of the constant current outputShould be smaller than the resonance frequency of the constant voltage output +.>The search range of the frequency is limited to +.>Between them;
for the coupling coefficient of the coupling coil, the limit is defined in +.>Between them.
（62）
Through the nonlinear programming model, the constant-current output working frequency and the constant-voltage output working frequency of the system under the optimal efficiency can be rapidly calculated;
and obtaining the optimal system configuration parameters through the optimal constant current output working frequency and the constant voltage output working frequency.
The constant-current constant-voltage output characteristic is decoupled from the mutual inductance parameter, the system can realize the mutual switching of constant-current output and constant-voltage output by changing the frequency, and the constant-current constant-voltage output characteristic can be maintained under the variable coupling working condition.
Experiments prove that the DC/DC transmission efficiency of the system can reach more than 95% in the constant-current mode and the constant-voltage mode.
The present invention also provides an electronic device, which may include: a processor (processor), a communication interface (Communications Interface), a memory (memory) and a communication bus, wherein the processor, the communication interface, and the memory communicate with each other via the communication bus. The processor may invoke logic instructions in the memory to perform the steps of the method of any of the above.
Further, the logic instructions in the memory described above may be implemented in the form of software functional units and stored in a computer-readable storage medium when sold or used as a stand-alone product. Based on this understanding, the technical solution of the present invention may be embodied essentially or in a part contributing to the prior art or in a part of the technical solution, in the form of a software product stored in a storage medium, comprising several instructions for causing a computer device (which may be a personal computer, a server, a network device, etc.) to perform all or part of the steps of the method according to the embodiments of the present invention. And the aforementioned storage medium includes: a U-disk, a removable hard disk, a Read-Only Memory (ROM), a random access Memory (RAM, random Access Memory), a magnetic disk, or an optical disk, or other various media capable of storing program codes.
In another aspect, the present invention also provides a computer program product comprising a computer program stored on a non-transitory computer readable storage medium, the computer program comprising program instructions which, when executed by a computer, are capable of performing the steps of the methods described above.
In yet another aspect, the present invention also provides a non-transitory computer readable storage medium having stored thereon a computer program which, when executed by a processor, is implemented to perform the steps of the above methods.
The apparatus embodiments described above are merely illustrative, wherein the elements illustrated as separate elements may or may not be physically separate, and the elements shown as elements may or may not be physical elements, may be located in one place, or may be distributed over a plurality of network elements. Some or all of the modules may be selected according to actual needs to achieve the purpose of the solution of this embodiment. Those of ordinary skill in the art will understand and implement the present invention without undue burden.
From the above description of the embodiments, it will be apparent to those skilled in the art that the embodiments may be implemented by means of software plus necessary general hardware platforms, or of course may be implemented by means of hardware. Based on this understanding, the foregoing technical solution may be embodied essentially or in a part contributing to the prior art in the form of a software product, which may be stored in a computer readable storage medium, such as ROM/RAM, a magnetic disk, an optical disk, etc., including several instructions for causing a computer device (which may be a personal computer, a server, or a network device, etc.) to execute the method described in the respective embodiments or some parts of the embodiments.
Finally, it should be noted that: the above embodiments are only for illustrating the technical solution of the present invention, and are not limiting; although the 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 scheme described in the foregoing embodiments can be modified or some technical features thereof can be replaced by equivalents; such modifications and substitutions do not depart from the spirit and scope of the technical solutions of the embodiments of the present invention.
Claims (6)
1. A method for compensating capacitance parameters of an S-S wireless power supply system, comprising:
obtaining resonance conditions of constant-current output and constant-voltage output decoupled from mutual inductance parameters;
based on a mutual inductance circuit model and a reflection impedance model, acquiring a system zero phase angle input condition under constant current output and constant voltage output conditions respectively;
based on the resonance condition and the zero phase angle input condition, constant-current output resonance frequency and mutual inductance parameters under constant-current output conditions are obtained, and constant-voltage output resonance frequency and mutual inductance parameters under constant-voltage output conditions are obtained;
establishing an optimization objective function of the overall charging efficiency of a constant-current charging stage and a constant-voltage charging stage in the charging process, respectively weighting the constant-current charging stage and the constant-voltage charging stage according to the charging time to obtain an average efficiency index function, and establishing a nonlinear programming model with optimal charging efficiency;
based on the nonlinear programming model, outputting constant-current output working frequency and constant-voltage output working frequency corresponding to optimal charging efficiency;
before acquiring the zero phase angle input condition of the system under the conditions of constant current output and constant voltage output, the method comprises the following steps: adjusting the resonant frequency of the system, and when the system meets the resonant condition of constant current output, outputting the constant current by the system to obtain the output current and transconductance of the system; adjusting the resonant frequency of the system, and when the system meets the resonant condition of constant voltage output, outputting the constant voltage by the system to obtain the output voltage and the voltage gain of the system;
based on the resonance condition and the zero phase angle input condition, obtaining constant current output resonance frequency and mutual inductance parameters under constant current output condition, obtaining constant voltage output resonance frequency and mutual inductance parameters under constant voltage output condition, including: based on the transconductance and voltage gain of the system, the inductance of the transmitting coil and the inductance of the receiving coil are obtained.
2. The method for compensating capacitance parameters of an S-S wireless power supply system according to claim 1, wherein the method for respectively obtaining the system zero phase angle input condition under the constant current output condition based on the mutual inductance circuit model and the reflection impedance model comprises the following steps:
acquiring system input impedance and system reflection impedance under constant current output conditions:
based on the system input impedance and the system reflection impedance, a pure resistive condition of a system input impedance angle is obtained.
3. The method for compensating capacitance parameters of an S-S wireless power supply system according to claim 1, wherein the method for respectively obtaining the system zero phase angle input condition under the constant voltage output condition based on the mutual inductance circuit model and the reflection impedance model comprises the following steps:
acquiring the system input impedance and the system reflection impedance under the constant voltage output condition:
based on the system input impedance and the system reflection impedance, a pure resistive condition of a system input impedance angle is obtained.
4. The method for compensating capacitance parameters of an S-S wireless power supply system according to claim 1, wherein the method for establishing an optimization objective function of overall charging efficiency of a constant-current charging stage and a constant-voltage charging stage in a charging process, respectively weighting the constant-current charging stage and the constant-voltage charging stage according to charging time to obtain an average efficiency index function, and establishing a nonlinear programming model with optimal charging efficiency comprises the following steps:
obtaining mutual inductance of a transmitting coil and a receiving coil, obtaining mesh current at a corresponding position in a system, obtaining impedance of each element in the system, and enabling the numerical range of working frequency to be between constant-current output resonant frequency and constant-voltage output resonant frequency; obtaining a current vector;
based on the parameters, respectively obtaining the constant current output condition and the charging efficiency under the constant voltage output condition;
acquiring a resistance interval of an equivalent load in a constant-current charging stage, and acquiring a resistance interval of the equivalent load in a constant-voltage charging stage; dividing the resistance intervals of equivalent loads in the constant-current charging stage and the constant-voltage charging stage into a plurality of subintervals;
the method comprises the steps of establishing a functional relation among constant-current output resonant frequency, constant-voltage output resonant frequency, mutual inductance and overall charging efficiency, and establishing an optimization objective function with the maximum overall charging efficiency as a target:
；
wherein,for constant current charging time, < >>For constant voltage charging time, < >>For the total time of charging, +.>For constant current charging efficiency>For constant voltage charging efficiency>For constant current output resonant frequency, < >>For equivalent load in constant current charging phase +.>For constant voltage output resonant frequency, < >>For equivalent load in constant voltage charging phase +.>For the equal part of the equivalent load resistance section in the constant current charging stage, +.>For the equal parts of the equivalent load resistance section in the constant voltage charging stage, M is the mutual inductance.
5. An electronic device comprising a memory, a processor and a computer program stored on the memory and executable on the processor, characterized in that the processor implements the steps of the method according to any one of claims 1 to 4 when the program is executed.
6. A non-transitory computer readable storage medium, on which a computer program is stored, characterized in that the computer program, when being executed by a processor, implements the steps of the method according to any of claims 1 to 4.
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Citations (9)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| KR20170059391A (en) * | 2015-11-20 | 2017-05-30 | 숭실대학교산학협력단 | Double sided resonant converter for wireless charger and method for implementing thereof |
| CN109638978A (en) * | 2019-01-25 | 2019-04-16 | 西南交通大学 | A kind of efficient constant pressure and flow switching wireless charging topological structure |
| CN111106676A (en) * | 2020-01-08 | 2020-05-05 | 国网河北省电力有限公司雄安新区供电公司 | Magnetic coupling mechanism parameter multi-objective optimization method of LCC-S type MC-WPT system |
| CN112087061A (en) * | 2020-09-02 | 2020-12-15 | 东南大学 | Three-coil battery wireless charging system capable of automatically switching constant current and constant voltage |
| CN112421792A (en) * | 2020-10-16 | 2021-02-26 | 江南大学 | Wireless charging system and control method for constant-current/constant-voltage charging optimization |
| CN113315258A (en) * | 2021-06-04 | 2021-08-27 | 内蒙古工业大学 | Charging method based on LCL-LCL-S hybrid self-switching resonant mode |
| CN113659684A (en) * | 2021-08-27 | 2021-11-16 | 华南理工大学 | Secondary CL/S constant-current constant-voltage IPT charging system and parameter design method thereof |
| CN115912677A (en) * | 2023-01-15 | 2023-04-04 | 哈尔滨工业大学 | Double-resonance topology with constant-current and constant-voltage output characteristics and parameter design method thereof |
| CN115986951A (en) * | 2022-01-25 | 2023-04-18 | 哈尔滨工业大学 | Wireless charging system with zero phase angle constant current and constant voltage output characteristics and parameter design method |
-
2023
- 2023-08-22 CN CN202311059161.3A patent/CN116799928B/en active Active
Patent Citations (9)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| KR20170059391A (en) * | 2015-11-20 | 2017-05-30 | 숭실대학교산학협력단 | Double sided resonant converter for wireless charger and method for implementing thereof |
| CN109638978A (en) * | 2019-01-25 | 2019-04-16 | 西南交通大学 | A kind of efficient constant pressure and flow switching wireless charging topological structure |
| CN111106676A (en) * | 2020-01-08 | 2020-05-05 | 国网河北省电力有限公司雄安新区供电公司 | Magnetic coupling mechanism parameter multi-objective optimization method of LCC-S type MC-WPT system |
| CN112087061A (en) * | 2020-09-02 | 2020-12-15 | 东南大学 | Three-coil battery wireless charging system capable of automatically switching constant current and constant voltage |
| CN112421792A (en) * | 2020-10-16 | 2021-02-26 | 江南大学 | Wireless charging system and control method for constant-current/constant-voltage charging optimization |
| CN113315258A (en) * | 2021-06-04 | 2021-08-27 | 内蒙古工业大学 | Charging method based on LCL-LCL-S hybrid self-switching resonant mode |
| CN113659684A (en) * | 2021-08-27 | 2021-11-16 | 华南理工大学 | Secondary CL/S constant-current constant-voltage IPT charging system and parameter design method thereof |
| CN115986951A (en) * | 2022-01-25 | 2023-04-18 | 哈尔滨工业大学 | Wireless charging system with zero phase angle constant current and constant voltage output characteristics and parameter design method |
| CN115912677A (en) * | 2023-01-15 | 2023-04-04 | 哈尔滨工业大学 | Double-resonance topology with constant-current and constant-voltage output characteristics and parameter design method thereof |
Non-Patent Citations (4)
| Title |
|---|
| 双LCL补偿ICPT系统双谐振点特性及最大输出功率研究;夏晨阳等;中国电机工程学报;第36卷(第19期);5200-5208 * |
| 可配置充电电流的变结构无线充电系统研究;麦瑞坤;张友源;陈阳;寇志豪;何正友;李伟华;;中国电机工程学报(第11期);3336-3343 * |
| 基于双边LCC补偿槽恒流恒压输出的无线充电系统研究;孙运全等;电子器件(第06期);1428-1434 * |
| 基于改进遗传算法的TS-S型ICPT系统谐振参数优化;靳夏;李欣;;兰州交通大学学报(第02期);58-66 * |
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