CN113962178A - Remote WPT system efficiency model optimization method and device - Google Patents
Remote WPT system efficiency model optimization method and device Download PDFInfo
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- H02J50/00—Circuit arrangements or systems for wireless supply or distribution of electric power
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Abstract
The invention discloses a method and a device for optimizing an efficiency model of a remote WPT system, wherein the method comprises the following steps: determining equivalent load R of alternating current input side of passive rectifier in WPT systemeq(ii) a Simplifying an equivalent circuit model based on SS topology, combining an equivalent load Req, writing an n-coil loop equation according to a kirchhoff voltage law, and determining the current of each loop; according to the current of each loop, a WPT system efficiency model is constructed; according to the WPT system efficiency model, analyzing factors influencing the improvement of the WPT system efficiency; optimizing the distance between adjacent coils by combining various factors to obtainAnd (4) a WPT system efficiency optimal model. The optimization method enables the WPT system formed by the coils with different sizes to work in a high-efficiency state all the time in the energy transmission process, and effectively solves the problem of low efficiency in the medium-distance and long-distance wireless electric energy transmission process.
Description
Technical Field
The invention mainly relates to the technical field of radio charging, in particular to a method and a device for optimizing an efficiency model of a long-distance WPT system.
Background
Wireless Power Transfer (WPT) is a new technology that transfers energy from the Power supply side to the load side without direct contact, it avoids the safety problems of contact spark and leakage in the traditional plug-in system, and makes the way of applying electric energy to human more flexible.
The existing multi-relay mode wireless power transmission system is used for carrying out medium and long distance energy transmission by optimizing the distance between adjacent coils under the condition of considering the same coil, but the transmission efficiency is not high, and aiming at the wireless power transmission system formed by the coils with different sizes, the transmission efficiency is not high and a good optimization method is lacked.
Disclosure of Invention
The optimization method analyzes the WPT system efficiency under arrangement of different coil sizes by establishing the WPT efficiency model, optimizes the distance between adjacent coils in the WPT system and obtains the optimal WPT system efficiency model, so that the system always works in a high-efficiency state in the energy transmission process, and the problem of low efficiency in the medium-distance and long-distance wireless power transmission process is effectively solved.
The invention provides a remote WPT system efficiency model optimization method, which comprises the following steps:
determining equivalent load R of alternating current input side of passive rectifier in WPT systemeq;
Simplifying an equivalent circuit model based on SS topology, combining an equivalent load Req, writing an n-coil loop equation according to a kirchhoff voltage law, and determining the current of each loop;
according to the current of each loop, a WPT system efficiency model is constructed;
according to the WPT system efficiency model, analyzing factors influencing the improvement of the WPT system efficiency;
and optimizing the distance between adjacent coils by combining various factors to obtain the WPT system efficiency optimal model.
Further, the WPT system comprises a transmitting side structural unit, a relay side structural unit and a receiving side structural unit, wherein the transmitting side structural unit, the relay side structural unit and the receiving side structural unit are coupled and connected through a plurality of coils;
the size of the several coils in the WPT system is different.
The coil compensation capacitance and the coil self-inductance in the WPT system satisfy the following formula:
where ω is the angular frequency of operation of the system, f is the frequency of operation of the system, C1、C2、……、Cn-1And CnCompensation capacitance, L, for each coil in WPT system1、L2、……、Ln-1And LnIs the coil self-inductance of each coil in the WPT system.
The direct current load RLSubstituting the formula to obtain the equivalent load R at the alternating current input side of the passive rectifiereqThe formula is as follows:
wherein: reqFor the equivalent load on the AC input side of the passive rectifier, VnFor receiving the structural unit voltage of the side InFor receiving side structural unit current, RLIs a dc load.
Further, the loop equation of the n coils is as follows:
where ω is the angular frequency of operation of the system, j is an imaginary unit, Zii(i-1, 2,3 … n-1) and ZnnThe impedance of each loop is expressed as:
wherein R isnIs a load resistance of n coil loops, ReqThe equivalent load is the alternating current input side equivalent load of the passive rectifier;
simplifying the loop equation:
the current relationship for each loop can be expressed as:
wherein M is12…M(n-1)nFor mutual inductance between individual coils in long-range radio transmission systems, I1、I2、…、In-1、InFor each coil loop current.
And substituting the current of each loop into a formula to determine an active power expression of each loop:
the long-range WPT system efficiency model may be expressed as:
where η is the long-range WPT system efficiency, PoutAnd outputting power for the system.
And combining the long-distance WPT efficiency model with the current relational expression of each loop to establish a long-distance WPT system efficiency model under the influence of multiple factors:
η=F(M12,M23,M34,…,M(n-1)n,Req);
wherein: eta is the long-range WPT system efficiency, M12…M(n-1)nIs the mutual inductance between the various coils in a long-range radio transmission system.
Determining an optimized objective function:
maxη(M,R)=F(M12,M23,M34,…,M(n-1)n,Req);
and (3) giving constraint conditions according to the objective function, and listing required constraint functions:
wherein d istotalIs the total distance between the coils, RgivenFor a given load;
the constraint equation is listed:
k (g), E (g) are the first and second elliptical integrals, r1、r2Is the average radius of the coil, d is the distance between two adjacent coils, mu0Is a vacuum magnetic permeability.
Optimizing the distance between adjacent coils in the long-distance WPT system by the target function and the constraint function in a solver to obtain an optimal WPT system efficiency model.
The invention also provides a remote WPT system efficiency model optimization device, which comprises:
a calculation module: determining equivalent load R of alternating current input side of passive rectifier in WPT systemeq;
An equation operation module: simplifying an equivalent circuit model based on SS topology, combining an equivalent load Req, writing an n-coil loop equation according to a kirchhoff voltage law, and determining the current of each loop;
a modeling module: according to the current of each loop, a WPT system efficiency model is constructed;
an analysis module: according to the WPT system efficiency model, analyzing factors influencing the improvement of the WPT system efficiency;
an optimization module: and optimizing the distance between adjacent coils by combining various factors to obtain the WPT system efficiency optimal model.
The invention provides a method and a device for optimizing an efficiency model of a long-distance WPT system, wherein the optimization method analyzes the efficiency of the WPT system under arrangement of different coil sizes by establishing the WPT efficiency model, optimizes the distance between adjacent coils in the WPT system and obtains the optimal efficiency model of the WPT system, so that the system always works in a high-efficiency state in the energy transmission process, and the problem of low efficiency in the medium-distance and long-distance wireless electric energy transmission process is effectively solved.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the description of the embodiments or the prior art will be briefly described below, it is obvious that the drawings in the following description are only some embodiments of the present invention, and for those skilled in the art, other drawings can be obtained according to the drawings without creative efforts.
FIG. 1 is a schematic diagram of a WPT system according to an embodiment of the present invention;
FIG. 2 is a flow chart of a WPT system efficiency model optimization method in an embodiment of the present invention;
fig. 3 is a schematic diagram of an efficiency model optimization device of the WPT system in the embodiment of the present invention.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
Fig. 1 shows a schematic structural diagram of a WPT system in an embodiment of the present invention, the WPT system includes a transmitting-side structural unit 1, a relay-side structural unit 2, and a receiving-side structural unit 3, a transmitting-side electrical loop of the transmitting-side structural unit 1 includes a transmitting coil 11, and a dc input power supply of the transmitting-side structural unit 1 has a voltage VinThe relay-side circuit of the relay-side structural unit 2 includes a first relay circuit including a first relay coil 21 and a second relay circuit including a second relay coil 22, and the receiving sideThe receiving-side electrical circuit of the structural unit 3 comprises a receiving coil 31.
Specifically, the mutual inductance between the transmitter coil 11 and the first relay coil is M12The mutual inductance of the first relay coil 21 and the second relay coil 22 is M23A mutual inductance between the second relay coil 22 and the receiving coil 31 is M34The resonance compensation capacitance of the transmitting side electric loop of the transmitting side structural unit 1 is C1The load resistance is R1The resonance compensation capacitance of the first relay circuit is C2The load resistance is R2The resonance compensation capacitance of the second relay circuit is C3The load resistance is R3The resonance compensation capacitance of the receiving side electric loop of the receiving side structural unit 3 is C4The load resistance is R4A passive rectifier and a load resistor R of the receiving-side structural unit 3LAnd (6) electrically connecting.
The sizes of the transmitting coil 11, the first relay coil 21, the second relay coil 22, and the receiving coil 31 are different.
Fig. 2 shows a flowchart of a method for optimizing a WPT system efficiency model in a remote distance in an embodiment of the present invention, where the method for optimizing the WPT system efficiency model includes:
s11: determining equivalent load R of alternating current input side of passive rectifier in WPT systemeq;
In particular, the compensation capacitors C of the transmitter coil, the relay coil and the receiver coil1、C2、C3And C4And the coil self-inductance should satisfy the following formula:
where ω is the operating angular frequency of the system and f is the operating frequency of the system.
According to the DC load RLDetermines the equivalent load R of the AC input side of the passive rectifiereq;
The direct current load RLSubstituting the formula to obtain the equivalent load R at the alternating current input side of the passive rectifiereqThe formula is as follows:
wherein: reqFor the equivalent load on the AC input side of the passive rectifier, VnFor receiving the structural unit voltage of the side InFor receiving side structural unit current, RLIs a dc load.
S12: simplifying an equivalent circuit model based on SS topology, combining an equivalent load Req, writing an n-coil loop equation according to a kirchhoff voltage law, and determining the current of each loop;
based on SS topology simplification equivalent circuit model, according to kirchhoff's voltage law, a four-coil loop equation is written, and the current of each loop is determined:
wherein M is12、M23、M34For mutual inductance between individual coils in long-range radio transmission systems, I1、I2、…、In-1、InFor each coil loop current
Determining the active power of each loop:
wherein, PoutAnd outputting power for the WPT system.
S13: according to the current of each loop, a WPT system efficiency model is constructed, and a transmission efficiency model of the system is solved:
where η is the long-range WPT system efficiency, PoutAnd outputting power for the system.
S14: according to the WPT system efficiency model, analyzing factors influencing the improvement of the WPT system efficiency;
further, at the input voltage VinAnd the angular frequency omega, and under the condition of not considering the alternating current resistance of each loop, a transmission efficiency model influenced by multiple factors can be given:
η=F(M12,M23,M34,Req);
wherein: eta is the long-range WPT system efficiency, M12…M(n-1)nIs the mutual inductance between the various coils in a long-range radio transmission system.
Further, the efficiency model is at a specific input voltage VinThe specific working frequency omega and the condition of neglecting the internal resistance of the coil are established, the influence of other factors can be reduced, and the optimal distance of the multi-coil arrangement in the WPT system is conveniently obtained.
In practical work, in order to ensure that the WPT system can realize long-distance and high-efficiency energy transmission, the input voltage V is considered according to practical conditionsinMutual inductance M between coils12、M23、……、M(n-1)nAnd angular frequency ω and respective loop coil resistances (R)1、R2、……、Rn-1、Rn) The constraint problem in between.
S15: and optimizing the distance between adjacent coils by combining various factors to obtain an optimal WPT system efficiency model:
further, at the input voltage VinAnd determining the target function without considering the alternating current resistance of each loop by the angular frequency omega:
maxη(M)=F(M12,M23,M34,Req);
according to the given objective function, a constraint function is given:
wherein d istotalIs the total distance between the coils, RgivenFor a given load;
k (g), E (g) are the first and second elliptical integrals, r1、r2Is the average radius of the coil, d is the distance between two adjacent coils, mu0Is a vacuum magnetic permeability.
And optimizing the distance between adjacent coils in a solver according to the target function and the constraint function to obtain the WPT system efficiency optimal model.
The embodiment of the invention provides a long-distance WPT system efficiency model optimization method, which analyzes the WPT system efficiency under different coil size arrangements by establishing a WPT efficiency model, optimizes the distance between adjacent coils in a WPT system and obtains an optimal WPT system efficiency model, so that the system always works in a high-efficiency state in the energy transmission process, and the problem of low efficiency in the medium-distance and long-distance wireless power transmission process is effectively solved.
Example two
Fig. 3 shows an efficiency model optimization apparatus for a remote WPT system in an embodiment of the present invention, the apparatus includes:
the calculation module 10: determining equivalent load R of alternating current input side of passive rectifier in WPT systemeq。
Specifically, the coil compensation capacitance and the coil self-inductance in the WPT system satisfy the following formula:
where ω is the angular frequency of operation of the system, f is the frequency of operation of the system, C1、C2、……、Cn-1And CnCompensation capacitance, L, for each coil in WPT system1、L2、……、Ln-1And LnIs the coil self-inductance of each coil in the WPT system.
Further, the direct current load R is connected with a power supplyLSubstituting the formula to obtain the equivalent load R at the alternating current input side of the passive rectifiereqThe formula is as follows:
wherein: reqFor the equivalent load on the AC input side of the passive rectifier, VnFor receiving the structural unit voltage of the side InFor receiving side structural unit current, RLIs a dc load.
The equation operation module 20: and simplifying an equivalent circuit model based on SS topology, combining an equivalent load Req, writing an n-coil loop equation according to kirchhoff voltage law, and determining the current of each loop.
The n-coil loop equation is:
wherein: omega is the angular frequency of operation of the system, j is the unit of an imaginary number, Zii(i-1, 2,3 … n-1) and ZnnThe impedance of each loop is expressed as:
wherein R isnIs a load resistance of n coil loops, ReqThe equivalent load is the alternating current input side equivalent load of the passive rectifier;
simplifying the loop equation:
the current relationship for each loop can be expressed as:
wherein M is12…M(n-1)nFor mutual inductance between individual coils in long-range radio transmission systems, I1、I2、…、In-1、InFor each coil loop current.
The modeling module 30: and constructing a WPT system efficiency model according to the current of each loop.
Specifically, the current of each loop is substituted into a formula to determine an active power expression of each loop:
the long-range WPT system efficiency model may be expressed as:
where η is the long-range WPT system efficiency, PoutAnd outputting power for the system.
The analysis module 40: and analyzing factors influencing the efficiency improvement of the WPT system according to the WPT system efficiency model.
And combining the long-distance WPT efficiency model with the current relational expression of each loop to establish a long-distance WPT system efficiency model under the influence of multiple factors:
η=F(M12,M23,M34,…,M(n-1)n,Req);
wherein: eta is the long-range WPT system efficiency, M12…M(n-1)nIs the mutual inductance between the various coils in a long-range radio transmission system.
Further, the efficiency model is at a specific input voltage VinA specific operating frequency omega and neglecting the internal resistance of the coilAnd the influence of other factors is reduced, and the optimal distance of the arrangement of the multiple coils in the WPT system is conveniently obtained.
In practical work, in order to ensure that the WPT system can realize long-distance and high-efficiency energy transmission, the input voltage V is considered according to practical conditionsinMutual inductance M between coils12、M23、……、M(n-1)nAnd angular frequency ω and respective loop coil resistances (R)1、R2、……、Rn-1、Rn) The constraint problem in between.
The optimization module 50: and optimizing the distance between adjacent coils by combining various factors to obtain the WPT system efficiency optimal model.
Determining an optimized objective function:
maxη(M,R)=F(M12,M23,M34,…,M(n-1)n,Req);
and (3) giving a constraint function required by optimization according to the objective function:
wherein d istotalIs the total distance between the coils, RgivenFor a given load;
k (g), E (g) are the first and second elliptical integrals, r1、r2Is the average radius of the coil, d is the distance between two adjacent coils, mu0Is a vacuum magnetic permeability.
Optimizing the distance between adjacent coils in the long-distance WPT system by the target function and the constraint function in a solver to obtain an optimal WPT system efficiency model.
The embodiment of the invention provides a remote WPT system efficiency model optimization device, which is used for establishing a system efficiency model according to a WPT system, calculating and optimizing the distance between adjacent coils through model analysis to obtain an optimal WPT system efficiency model, further realizing medium-distance and remote-distance energy efficient transmission and effectively improving the problem of low efficiency in the medium-distance and remote-distance wireless power transmission process.
Those skilled in the art will appreciate that all or part of the steps in the methods of the above embodiments may be implemented by associated hardware instructed by a program, which may be stored in a computer-readable storage medium, and the storage medium may include: a Read Only Memory (ROM), a Random Access Memory (RAM), a magnetic or optical disk, or the like.
In addition, the above detailed description of the embodiments of the present invention is provided, and the principle and the embodiments of the present invention should be explained by using specific examples herein, and the above descriptions of the embodiments are only used to help understanding the method and the core idea of the present invention; meanwhile, for a person skilled in the art, according to the idea of the present invention, there may be variations in the specific embodiments and the application scope, and in summary, the content of the present specification should not be construed as a limitation to the present invention.
Claims (10)
1. A remote WPT system efficiency model optimization method is characterized by comprising the following steps:
determining equivalent load R of alternating current input side of passive rectifier in WPT systemeq;
Simplifying an equivalent circuit model based on SS topology, combining an equivalent load Req, writing an n-coil loop equation according to a kirchhoff voltage law, and determining the current of each loop;
according to the current of each loop, a WPT system efficiency model is constructed;
according to the WPT system efficiency model, analyzing factors influencing the improvement of the WPT system efficiency;
and optimizing the distance between adjacent coils by combining various factors to obtain the WPT system efficiency optimal model.
2. The method for optimizing the efficiency model of the long-distance WPT system as claimed in claim 1, wherein the WPT system comprises a transmitting side structural unit, a relay side structural unit and a receiving side structural unit, and the transmitting side structural unit, the relay side structural unit and the receiving side structural unit are coupled and connected through a plurality of coils;
the size of the several coils in the WPT system is different.
3. A remote WPT system efficiency model optimization method as claimed in claim 1, wherein coil compensation capacitance and coil self-inductance in the WPT system satisfy the following equation:
where ω is the angular frequency of operation of the system, f is the frequency of operation of the system, C1、C2、……、Cn-1And CnCompensation capacitance, L, for each coil in WPT system1、L2、……、Ln-1And LnIs the coil self-inductance of each coil in the WPT system.
4. A remote WPT system efficiency model optimization method as claimed in claim 1, wherein the DC load R is selectedLSubstituting the formula to obtain the equivalent load R at the alternating current input side of the passive rectifiereqThe formula is as follows:
wherein: reqFor the equivalent load on the AC input side of the passive rectifier, VnFor receiving the structural unit voltage of the side InFor receiving side structural unit current, RLIs a dc load.
5. A remote WPT system efficiency model optimization method as claimed in claim 1, wherein said n-coil loop equations are:
wherein: omega is the angular frequency of operation of the system, j is the unit of an imaginary number, Zii(i-1, 2,3 … n-1) and ZnnThe impedance of each loop is respectively;
Rnis a load resistance of n coil loops, ReqThe equivalent load is on the alternating current input side of the passive rectifier.
Simplifying the loop equation:
the current relationship for each loop can be expressed as:
wherein M is12…M(n-1)nFor mutual inductance between individual coils in long-range radio transmission systems, I1、I2、…、In-1、InFor each coil loop current.
6. A remote WPT system efficiency model optimisation method as claimed in claim 1, wherein the active power expression for each loop is determined by substituting the current for each loop into the formula:
the long-range WPT system efficiency model may be expressed as:
where η is the long-range WPT system efficiency, PoutAnd outputting power for the system.
7. A remote WPT system efficiency model optimisation method as claimed in claim 1 wherein the remote WPT efficiency model is combined with the individual loop current relationships to build a multi-factor remote WPT system efficiency model:
η=F(M12,M23,M34,…,M(n-1)n,Req);
where η is the long-range WPT system efficiency, M12…M(n-1)nIs the mutual inductance between the various coils in a long-range radio transmission system.
8. A remote WPT system efficiency model optimisation method as claimed in claim 1, characterised in that the optimised objective function is determined:
maxη(M,R)=F(M12,M23,M34,…,M(n-1)n,Req);
and (3) giving a constraint function required by optimization according to the objective function:
wherein d istotalIs the total distance between the coils, RgivenFor a given load;
k (g), E (g) are the first and second elliptical integrals, r1、r2Is the average radius of the coil, d is the distance between two adjacent coils, mu0Is a vacuum magnetic permeability.
9. The remote WPT system efficiency model optimization method according to claim 1, wherein the target function and the constraint function are used to optimize the distance between adjacent coils in the remote WPT system in a solver to obtain a WPT system efficiency optimization model.
10. A remote WPT system efficiency model optimization apparatus, the apparatus comprising:
a calculation module: determining equivalent load R of alternating current input side of passive rectifier in WPT systemeq;
An equation operation module: simplifying an equivalent circuit model based on SS topology, combining an equivalent load Req, writing an n-coil loop equation according to a kirchhoff voltage law, and determining the current of each loop;
a modeling module: according to the current of each loop, a WPT system efficiency model is constructed;
an analysis module: according to the WPT system efficiency model, analyzing factors influencing the improvement of the WPT system efficiency;
an optimization module: and optimizing the distance between adjacent coils by combining various factors to obtain the WPT system efficiency optimal model.
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WO2023226163A1 (en) * | 2022-05-23 | 2023-11-30 | 广西电网有限责任公司电力科学研究院 | Optimization method and system for relay coil ipt system |
WO2023226162A1 (en) * | 2022-05-23 | 2023-11-30 | 广西电网有限责任公司电力科学研究院 | Sustainable wireless power supply system for online monitoring device of high-voltage transmission line |
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WO2023226163A1 (en) * | 2022-05-23 | 2023-11-30 | 广西电网有限责任公司电力科学研究院 | Optimization method and system for relay coil ipt system |
WO2023226162A1 (en) * | 2022-05-23 | 2023-11-30 | 广西电网有限责任公司电力科学研究院 | Sustainable wireless power supply system for online monitoring device of high-voltage transmission line |
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