CN114595574A - Insulator relay type wireless power supply system and coil parameter optimization method thereof - Google Patents

Insulator relay type wireless power supply system and coil parameter optimization method thereof Download PDF

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Publication number
CN114595574A
CN114595574A CN202210222485.3A CN202210222485A CN114595574A CN 114595574 A CN114595574 A CN 114595574A CN 202210222485 A CN202210222485 A CN 202210222485A CN 114595574 A CN114595574 A CN 114595574A
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coil
insulator
relay
power supply
coils
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王维
曾振炜
苏文博
段名荣
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Nanjing Normal University
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Nanjing Normal University
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    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/20—Design optimisation, verification or simulation
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J50/00—Circuit arrangements or systems for wireless supply or distribution of electric power
    • H02J50/10—Circuit arrangements or systems for wireless supply or distribution of electric power using inductive coupling
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J50/00—Circuit arrangements or systems for wireless supply or distribution of electric power
    • H02J50/50—Circuit arrangements or systems for wireless supply or distribution of electric power using additional energy repeaters between transmitting devices and receiving devices
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y04—INFORMATION OR COMMUNICATION TECHNOLOGIES HAVING AN IMPACT ON OTHER TECHNOLOGY AREAS
    • Y04S—SYSTEMS INTEGRATING TECHNOLOGIES RELATED TO POWER NETWORK OPERATION, COMMUNICATION OR INFORMATION TECHNOLOGIES FOR IMPROVING THE ELECTRICAL POWER GENERATION, TRANSMISSION, DISTRIBUTION, MANAGEMENT OR USAGE, i.e. SMART GRIDS
    • Y04S40/00—Systems for electrical power generation, transmission, distribution or end-user application management characterised by the use of communication or information technologies, or communication or information technology specific aspects supporting them
    • Y04S40/12—Systems for electrical power generation, transmission, distribution or end-user application management characterised by the use of communication or information technologies, or communication or information technology specific aspects supporting them characterised by data transport means between the monitoring, controlling or managing units and monitored, controlled or operated electrical equipment
    • Y04S40/126—Systems for electrical power generation, transmission, distribution or end-user application management characterised by the use of communication or information technologies, or communication or information technology specific aspects supporting them characterised by data transport means between the monitoring, controlling or managing units and monitored, controlled or operated electrical equipment using wireless data transmission

Abstract

The invention discloses an insulator relay type wireless power supply system and a coil parameter optimization method thereof, wherein the system comprises an insulator string, a transmitting coil, a relay coil and a receiving coil, wherein the insulator string comprises a plurality of insulator discs, the transmitting coil is externally embedded on a first insulator disc, the receiving coil is externally embedded on a last insulator disc, and the relay coil is externally embedded on an insulator disc at the middle part; the method comprises the following steps: determining the diameter of the coil according to the diameter of the insulator disc and the firmness of the externally embedded coil; selecting the number of turns of the coil and the wire diameter of a lead according to the requirements of the external insulation characteristic of the insulator string and the quality factor of the coil; on the premise of meeting the minimum power supply requirement of the on-line monitoring equipment, the number of the relay coils and the arrangement positions of the coils are optimized by taking the transmission efficiency as a target. The invention obviously improves the transmission power and transmission efficiency of the system, realizes the stable operation of the transmission tower monitoring equipment, is simple, effective and easy to implement, and has good economical efficiency and practicability.

Description

Insulator relay type wireless power supply system and coil parameter optimization method thereof
Technical Field
The invention relates to a wireless power supply technology of transmission tower monitoring equipment, in particular to an insulator relay type wireless power supply system and a coil parameter optimization method thereof.
Background
With the continuous development of the smart power grid, the on-line monitoring equipment of the transmission tower can fully cover the future, and the power supply reliability of the on-line monitoring equipment becomes an important factor for restricting the development of the on-line monitoring technology of the transmission tower. At present, power supply modes of transmission tower monitoring equipment mainly comprise solar power supply, microwave power supply, voltage mutual inductance type and storage battery power supply, but the problems of insufficient reliability, high implementation difficulty and the like exist in the aspects of safety, practicability and application cost. In recent years, a power supply method combining an energy collector and a wireless power transmission technology provides a new power supply solution for power transmission pole tower monitoring equipment, a current transformer is installed on a high-voltage power transmission line, energy obtained from the line is used for supplying power for the monitoring equipment installed on the power transmission pole tower through the wireless power transmission technology, and the safe and stable operation of the power transmission line is guaranteed.
The existing research on wireless power supply of a transmission tower mainly focuses on improving the CT power taking power and the like, and relatively few researches on the problem of efficiently and stably transmitting the energy acquired by the transmission line to monitoring equipment in a long distance are carried out. Partial research shows that the transmission distance of the wireless power supply system can be increased and the energy transmission efficiency can be further increased due to the addition of the relay coil, but the influence of coil parameters such as coil arrangement positions and turns on the transmission performance of the system is not analyzed in detail.
Disclosure of Invention
The purpose of the invention is as follows: aiming at the power supply problem of the existing transmission tower online monitoring equipment, the invention aims to provide an insulator relay type wireless power supply system.
The invention further aims to provide a coil parameter optimization method for the insulator relay type wireless power supply system, which can greatly improve the transmission power and the transmission efficiency of the wireless power supply system and provide reliable guarantee for the continuous and stable operation of monitoring equipment.
The technical scheme is as follows: the invention relates to an insulator relay type wireless power supply system, which comprises: insulator chain, transmitting coil, relay coil and receiving coil, insulator chain include a plurality of insulator dish, and the transmitting coil is embedded on first insulator dish outward, and the receiving coil is embedded on last insulator dish outward, and the relay coil inlays on the insulator dish of mid portion outward.
Preferably, the transmitting coil, the relay coil and the receiving coil are in the shape of a space spiral structure, and each coil has the same size parameters.
Preferably, there are a plurality of relay coils, and the number n of the relay coils does not exceed the number of the intermediate portion insulator disks.
The invention discloses a method for optimizing coil parameters of an insulator relay type wireless power supply system, which comprises the following steps of:
s1, determining the diameter D of the coil according to the diameter of the insulator disc and the firmness of the externally embedded coil, wherein the coil comprises a transmitting coil, a relay coil and a receiving coil, and all the coils have the same size parameters;
s2, selecting the number N of turns of the coil and the wire diameter a of the lead according to the requirements of the external insulation characteristic of the insulator string and the quality factor Q of the coil;
s3, to meet the minimum power supply requirement P of the on-line monitoring equipmentLminOn the premise of improving the transmission efficiency, the number n of the relay coils and the arrangement positions of the coils are optimized.
Further, in step S1, the selection range of the coil diameter D is:
D0≤D≤Dmax
wherein D is0Is the diameter of the insulator disk, DmaxThe maximum coil diameter does not affect the external embedding firmness of the coil.
Further, in step S2, the coil quality factor Q is:
Figure BDA0003534162090000021
wherein, omega is the working angular frequency, L is the coil self-inductance, R is the coil internal resistance, f is the working frequency, mu0The vacuum coefficient, a, wire diameter, and σ are the electrical conductivity. On the insulator discThe thickness T is limited, Na is less than or equal to T, and the quality factor Q of the coil is as large as possible.
Further, the method for optimizing the number n of relay coils and the coil arrangement position in step S3 includes:
modeling an insulator relay type wireless power supply system, and writing a KVL equation through an equivalent circuit column of the insulator relay type wireless power supply system;
solving a KVL equation to obtain loop current of each coil, and further solving to obtain specific expressions of system transmission power and transmission efficiency and parameters of each coil;
according to the limiting conditions of the arrangement positions of the coils, the minimum power supply requirement P of the on-line monitoring equipment is metLminOn the premise of improving the transmission efficiency, the number n of the relay coils and the arrangement positions of the coils are optimized.
Further, the KVL equation is:
Figure BDA0003534162090000031
wherein the content of the first and second substances,
Figure BDA0003534162090000032
is a high-frequency inversion voltage source, omega is the working angular frequency, RLIs an equivalent load, Ls，Cs，RsRespectively the self-inductance, the compensation capacitance and the equivalent internal resistance, L, of the transmitting coilr，Cr，RrRespectively the self-inductance, the compensation capacitance and the equivalent internal resistance, L, of the receiving coili，Ci，Ri(i ∈ 1,2, …, n) are the self-inductance, compensation capacitance and equivalent internal resistance of the relay coil i, respectively.
Figure BDA0003534162090000033
Is the current at the transmitting end and is,
Figure BDA0003534162090000034
to flow through a load RLThe current of (a) is measured,
Figure BDA0003534162090000035
is a current flowing through each relay coil i. MsiIs the mutual inductance between the transmitting coil and the relay coil i, MirFor mutual inductance between the relay coil i and the receiver coil, Mij(i ≠ j) is the mutual inductance between relay coils i and j, MsrIs the mutual inductance between the transmitter coil and the receiver coil.
Further, the system transmission power PLAnd the relation of the transmission efficiency η with the number n of relay coils and the coil arrangement position is expressed as:
Figure BDA0003534162090000036
wherein d issiIs the distance between the transmitting coil and the relay coil i, i ∈ 1,2, …, n; dirDistance between the repeater coil i and the receiver coil, dijJ belongs to 1,2, …, n, i is not equal to j; dsrIs the distance between the transmitting coil and the receiving coil.
The coil arrangement position has the following limitations:
Figure BDA0003534162090000037
wherein l is the distance between adjacent insulator disks at the position where the coil can be embedded externally, and n0M is the number of insulator disks in which relay coils can be externally embedded, dsrIs the distance between the transmit coil and the receive coil, k is 1,2,3, ….
Furthermore, the method for optimizing the coil arrangement mode when the number of the relay coils is n comprises the following steps:
the positions where the relay coils can be externally embedded on the insulator string are marked as (I), (II), …, m) by J1，J2，…，JnThe pointed insulator string positions respectively represent the external embedding positions of the relay coils 1,2, …, n, and n is less than or equal to m.
When the number of relay coils is n, k is initialized1＝1，PL0, η is 0. Then execute it toThe following steps:
(1) if k is1Less than or equal to m-n +1, then J1→k1，k2＝k1+1, executing the next step, otherwise, ending;
(2) if k is2Less than or equal to m-n +2, then J2→k2，k3＝k2+1, perform the next step, otherwise k1＝k1+1, returning to the previous step;
……
……
(n-1) if kn-1At most m-1, then Jn-1→kn-1，kn＝kn-1+1, perform the next step, otherwise kn-2＝kn-2+1, returning to the previous step;
(n) if knM is less than or equal to m, then Jn→knUsing the system transmission power PLAnd calculating J at this time by using a relational expression of the transmission efficiency eta, the number n of relay coils and the coil arrangement position1，J2，…，Jn-1，JnCorresponding P when pointing to external embedded position of relay coil of insulator stringLEta, denoted as scheme { J1→k1，J2→k2，…，Jn-1→kn-1，Jn→knComparing the performances of different schemes, and storing PL＞PLminAnd the arrangement of the coil positions, k, with optimum efficiencyn＝kn+1, continue to step (n), otherwise kn-1＝kn-1And +1, returning to the previous step.
Wherein k is1，k2，…，kn-1，knThe value of (A) represents the serial number of the position where the relay coil marked on the insulator string can be externally embedded. Through the above steps until k1Is greater than m-n +1, and the performance of all coil arrangement schemes when the number of relay coils is n is compared to obtain the condition that P is satisfiedL＞PLminAnd the coil position arrangement mode with optimal efficiency.
By adopting the mode, the corresponding optimal coil arrangement modes when the number n of the relay coils is respectively 1,2, … and m are obtained one by one, and finally the optimal relay coil number n and the coil arrangement position are determined by comparing the performances of each scheme.
Has the advantages that: compared with the prior art, the invention has the advantages that: (1) the insulator string is used as an externally embedded carrier of the relay coil, and energy obtained by line induction is remotely transmitted to the low-voltage side of the tower to supply power to the monitoring equipment; (2) by optimizing the number n and the arrangement positions of the relay coils, the transmission distance and the transmission efficiency of the wireless power supply system are obviously improved, so that the system meets the power supply requirement of monitoring equipment; (3) the power supply mode is not influenced by the external environment, can stably and reliably supply power for the monitoring equipment, reduces the fault occurrence rate of the transmission tower, and has good social benefit and economic benefit.
Drawings
FIG. 1 is a diagram of a structure of an insulator string model with an externally embedded coil;
FIG. 2 is a single insulator disc junction diagram;
fig. 3 is an equivalent circuit diagram of a relay type wireless power supply system;
fig. 4 is a flow chart of coil parameter optimization of the relay type wireless power supply system;
fig. 5 is a flowchart of relay coil number n and coil arrangement position optimization;
FIG. 6 is a diagram of a model of an insulator string including 8 insulator disks in an embodiment;
fig. 7 is a flowchart of optimization of the number n of relay coils and the coil arrangement position in the insulator string model including 8 insulator disks.
Detailed Description
The invention will be further described with reference to the following drawings and specific embodiments. The following are only preferred embodiments of the present invention, it being noted that: it will be apparent to those skilled in the art that various modifications and adaptations can be made without departing from the principles of the invention, and such modifications and adaptations are intended to be within the scope of the invention.
As shown in fig. 1, an insulator relay type wireless power supply system according to the present invention includes: the high-voltage power taking device comprises an insulator string, a transmitting coil, a relay coil and a receiving coil, wherein the insulator string is used as a channel for wireless energy transmission between the high-voltage power taking device and the online monitoring equipment and is used as a power sourceThe coil carrier is formed by externally embedding a coil on an insulator string. A single insulator disk structure is shown in FIG. 2, where D0The diameter of the large-diameter insulator disc is large, T is the thickness of the insulator disc, the diameter of the coil is considered as large as possible, so the coil is embedded on the large-diameter insulator disc, the insulator discs can be connected in series to form an insulator string through hardware fittings, as shown in figure 1, l is the distance between two adjacent large-diameter insulator discs, d is the distance between two adjacent large-diameter insulator discs, andsris the distance between the transmitter coil and the receiver coil. The insulator string comprises a plurality of insulator discs, a transmitting coil is externally embedded on the first insulator disc, a receiving coil is externally embedded on the last insulator disc, and a relay coil is externally embedded on the insulator disc at the middle part; each coil is in a space spiral structure and has the same size parameters; the relay coil is provided in plurality, and the number n of the relay coils does not exceed the number m of the intermediate portion insulator disks. Insulator chain is n in total0The identical insulator disks are connected in series, and the positions where the relay coils can be embedded on the insulator strings are marked as (I), (II), (…) and (m).
Theoretical modeling is carried out on the insulator relay type wireless power supply system to obtain an equivalent circuit diagram of the relay type wireless power supply system, as shown in figure 3,
Figure BDA0003534162090000051
is a high-frequency inverting voltage source, RLTo monitor the equipment equivalent load. L iss，Cs，RsRespectively the self-inductance, the compensation capacitance and the equivalent internal resistance, L, of the transmitting coilr，Cr，RrRespectively the self-inductance, the compensation capacitance and the equivalent internal resistance, L, of the receiving coili，Ci，Ri(i ∈ 1,2, …, n) are the self-inductance, compensation capacitance and equivalent internal resistance of the relay coil i, respectively, and n is the number of relay coils. The transmitting coil, the multiple relay coils and the receiving coil have the same size parameters, and the equivalent internal resistance and the self-inductance of each coil can be regarded as equal. Each coil is connected in series with a compensation capacitor so that the respective loops have the same resonant frequency.
Figure BDA0003534162090000052
Is the current at the transmitting end and is,
Figure BDA0003534162090000053
to flow through a load RLThe current of (a) is measured,
Figure BDA0003534162090000054
is a current flowing through each relay coil i. MsiIs the mutual inductance between the transmitting coil and the relay coil i, MirFor mutual inductance between the relay coil i and the receiver coil, MijAnd (i ≠ j) is the mutual inductance between the relay coils i and j, and the mutual inductance between the coils can be changed by changing the relative positions of the coils, so that the loop current of each coil is changed, and the arrangement position of the coils can be optimized to improve the transmission power and the transmission efficiency of the system.
As shown in fig. 4, the coil parameter optimization method specifically includes the steps of:
(1) determining the diameter D of the coil according to the diameter of the insulator disc and the firmness of the externally embedded coil, wherein the coil comprises a transmitting coil, a relay coil and a receiving coil, and all the coils have the same size parameters;
the coil is embedded on insulator chain outward, and coil diameter D should be not less than insulator dish diameter, considers the fastness of embedding the coil outward simultaneously, and coil diameter D should not be too big, can prescribe a limit to in the target range according to the nested fastness reasonable selection of actual coil, with the coil diameter:
D0≤D≤Dmax (1-1)
wherein D is0Is the diameter of the insulator disk, DmaxThe maximum coil diameter does not affect the external embedding firmness of the coil.
(2) Selecting the number N of turns of a coil and the wire diameter a of a lead according to the requirements of the external insulation characteristic of the insulator string and the quality factor Q of the coil;
an important parameter for coil design is the quality factor Q, the larger the Q value, the smaller the coil loss. For an air-cored spiral coil, the coil quality factor Q is:
Figure BDA0003534162090000061
wherein L is coil self-inductance, R is coil internal resistance, f is working frequency, mu0The vacuum coefficient a is the wire diameter, and σ is the electrical conductivity. As can be seen from the equation (1-2), the number of turns N of the coil and the wire diameter a of the wire are proportional to the Q value, and the larger the number of turns N of the coil and the wire diameter a of the wire, the larger the Q value. However, the coil is externally embedded on the insulator disc, if the number of turns of the coil is too large, the external insulation characteristic of the insulator chain can be affected, and the insulation performance of the insulator chain is damaged, so that the number of turns of the coil N and the wire diameter a of a lead are limited, Na is less than or equal to T, T is the thickness of the insulator disc, and the Q value of the number of turns of the coil N and the wire diameter a of the lead is as large as possible within a limited range.
(3) To meet the minimum power supply requirement P of the on-line monitoring equipmentLminOn the premise of improving the transmission efficiency, optimizing the number n of relay coils and the arrangement positions of the coils;
performing theoretical modeling on the relay type wireless power supply system, and writing a KVL equation through an equivalent circuit column of the relay type wireless power supply system:
Figure BDA0003534162090000071
wherein the content of the first and second substances,
Figure BDA0003534162090000072
is a high-frequency inverting voltage source, RLIs to monitor the equivalent load of the device, Ls，Cs，RsRespectively the self-inductance, the compensation capacitance and the equivalent internal resistance, L, of the transmitting coilr，Cr，RrRespectively the self-inductance, the compensation capacitance and the equivalent internal resistance, L, of the receiving coili，Ci，Ri(i ∈ 1,2, …, n) are the self-inductance, compensation capacitance and equivalent internal resistance of the relay coil i, respectively.
Figure BDA0003534162090000073
Is the current at the transmitting end and is,
Figure BDA0003534162090000074
to flow through a load RLThe current of (a) is measured,
Figure BDA0003534162090000075
is a current flowing through each relay coil i. MsiIs the mutual inductance between the transmitting coil and the relay coil i, MirFor mutual inductance between the relay coil i and the receiver coil, Mij(i ≠ j) is the mutual inductance between relay coils i and j, MsrIs the mutual inductance between the transmitter coil and the receiver coil.
And solving the KVL equation to obtain loop current of each coil, and further solving to obtain specific expressions of system transmission power and transmission efficiency and parameters of each coil. For systems with different relay coil numbers n and coil arrangement positions, the system transmission power P is determined under the condition of other system parametersLAnd the relation of the transmission efficiency η with the number n of relay coils and the coil arrangement position can be expressed as a function:
Figure BDA0003534162090000076
wherein, dsiIs the distance between the transmitting coil and the relay coil i ( i e 1,2, …, n), dirDistance between the repeater coil i and the receiver coil, dij(i ≠ j) is the distance between relay coils i and j, dsrIs the distance between the transmitting coil and the receiving coil. As can be seen from the equations (1-4), when other parameters of the system are determined, the transmission power and efficiency of the system are only affected by the coil arrangement position and the number of relay coils, and any change in the position of the relay coils will change the performance of the system, so it is necessary to analyze and optimize the system.
The coils are externally embedded on the insulator discs, so that the number n of relay coils should not exceed the number of insulator discs in the middle part. Meanwhile, the coil positions cannot be randomly arranged, the coils need to be externally embedded into an insulator disc, and the coil arrangement positions are limited as follows:
Figure BDA0003534162090000081
wherein l is the distance between the adjacent insulator disks at the position where the coil can be externally embedded, m is the number of the insulator disks at which the relay coil can be externally embedded, and n0Number of insulator discs, dsrIs the distance between the transmit coil and the receive coil, k is 1,2,3, …. To meet the minimum power supply requirement P of the on-line monitoring equipmentLminOn the premise of improving the transmission efficiency, the number n of the relay coils and the arrangement positions of the coils are optimized.
The positions where the relay coils can be externally embedded on the insulator string are marked as (I), (II), …, m) by J1，J2，…，JnThe pointed insulator string positions respectively represent the external embedding positions of the relay coils 1,2, …, n (n is less than or equal to m). FIG. 5 is a flow chart of optimizing the coil arrangement when the number of the relay coils is n, and k is initialized1＝1，PL0, η is 0. Then, the following steps are executed:
(1) if k is1M-n +1 or less, then J1→k1，k2＝k1+1, executing the next step, otherwise, ending;
(2) if k is2Less than or equal to m-n +2, then J2→k2，k3＝k2+1, perform the next step, otherwise k1＝k1+1, returning to the previous step;
……
……
(n-1) if kn-1M-1 or less, then Jn-1→kn-1，kn＝kn-1+1, perform the next step, otherwise kn-2＝kn-2+1, returning to the previous step;
(n) if knM is less than or equal to m, then Jn→knThen, J is calculated by the formula (1-4)1，J2，…，Jn-1，JnCorresponding P when pointing to external embedded position of relay coil of insulator stringLEta, denoted as scheme { J1→k1，J2→k2，…，Jn-1→kn-1，Jn→knComparing the performances of different schemes, and storing PL＞PLminAnd the coil position with optimal efficiencyArrangement, kn＝kn+1, continue to step (n), otherwise kn-1＝kn-1And +1, returning to the previous step.
Wherein k is1，k2，…，kn-1，knThe value of (A) represents the serial number of the position where the relay coil marked on the insulator string can be externally embedded. Through the above steps until k1Is greater than m-n +1, and the performance of all coil arrangement schemes when the number of relay coils is n is compared to obtain the condition that P is satisfiedL＞PLminAnd the coil position arrangement mode with optimal efficiency.
By adopting the mode, the corresponding optimal coil arrangement modes when the number n of the relay coils is respectively 1,2, … and m are obtained one by one, and finally the optimal relay coil number n and the coil arrangement position are determined by comparing the performances of each scheme. Through the steps, the coil parameters of the wireless power supply system of the insulator relay type transmission tower are finally determined, and the transmission power and the transmission efficiency of the system are greatly improved.
The following description will be made by taking an insulator string formed by connecting 8 insulator disks in series as an example, as shown in fig. 6, the positions where the relay coil can be externally embedded on the insulator string are marked as (I), (II), (III), (IV), (V) and (IV), and J is used for1，J2，…，JnThe pointed insulator string positions respectively represent the external embedding positions of the relay coils 1,2, …, n (n is less than or equal to 6). As shown in FIG. 7, k is initialized for the optimization flowchart of the coil arrangement when the number of relay coils is n1＝1，PL0, η is 0. Then, the following steps are executed:
(1) if k is1Less than or equal to 6-n +1, then J1→k1，k2＝k1+1, executing the next step, otherwise, ending;
(2) if k is2Less than or equal to 6-n +2, then J2→k2，k3＝k2+1, perform the next step, otherwise k1＝k1+1, returning to the previous step;
……
……
(n-1) if kn-1Less than or equal to 5, then Jn-1→kn-1，kn＝kn-1+1, perform the next step, otherwise kn-2＝kn-2+1, returning to the previous step;
(n) if knLess than or equal to 6, then Jn→knAt this time, J is calculated by the formula (1-4)1，J2，…，Jn-1，JnCorresponding P when pointing to external embedded position of relay coil of insulator stringLEta, denoted as scheme { J1→k1，J2→k2，…，Jn-1→kn-1，Jn→knComparing the performances of different schemes, and storing PL＞PLminAnd the arrangement of the coil positions, k, with optimum efficiencyn＝kn+1, continue to step (n), otherwise kn-1＝kn-1And +1, returning to the previous step.
Wherein k is1，k2，…，kn-1，knThe value of (A) represents the serial number of the position where the relay coil marked on the insulator string can be externally embedded. Through the above steps until k1Is more than 6-n +1, and the performance of all coil arrangement schemes when the number of the relay coils is n is compared to obtain the condition that P is satisfiedL＞PLminAnd the coil position arrangement mode with optimal efficiency.
By adopting the mode, the corresponding optimal coil arrangement modes when the number n of the relay coils is respectively 1,2, … and 6 are obtained one by one, and finally the optimal number n of the relay coils and the coil arrangement positions are determined by comparing the performances of each scheme.

Claims (10)

1. An insulator relay type wireless power supply system, comprising: insulator chain, transmitting coil, relay coil and receiving coil, insulator chain include a plurality of insulator dish, and the transmitting coil is embedded on first insulator dish outward, and the receiving coil is embedded on last insulator dish outward, and the relay coil inlays on the insulator dish of mid portion outward.
2. The wireless power supply system for insulator relay according to claim 1, wherein the shape of the transmitting coil, the relay coil and the receiving coil is a space spiral structure, and each coil has the same size parameters.
3. The wireless power supply system according to claim 1, wherein the number of the relay coils is not more than the number of the intermediate insulator plates, and the number n of the relay coils is not more than the number of the intermediate insulator plates.
4. A method for optimizing parameters of a coil of an insulator relay type wireless power supply system is characterized by comprising the following steps:
s1, determining the diameter D of the coil according to the diameter of the insulator disc and the firmness of the externally embedded coil, wherein the coil comprises a transmitting coil, a relay coil and a receiving coil, and all the coils have the same size parameters;
s2, selecting the number N of turns of the coil and the wire diameter a of the lead according to the requirements of the external insulation characteristic of the insulator string and the quality factor Q of the coil;
s3, to meet the minimum power supply requirement P of the on-line monitoring equipmentLminOn the premise of improving the transmission efficiency, the number n of the relay coils and the arrangement positions of the coils are optimized.
5. The method for optimizing the coil parameters of the insulator relay type wireless power supply system according to claim 4, wherein the coil diameter D in the step S1 is selected from the range:
D0≤D≤Dmax
wherein D is0Is the diameter of the insulator disk, DmaxThe maximum coil diameter does not affect the external embedding firmness of the coil.
6. The method for optimizing the coil parameters of the insulator relay type wireless power supply system according to claim 4, wherein the coil quality factor Q in the step S2 is as follows:
Figure FDA0003534162080000011
wherein, omega is the working angular frequency, L is the coil self-inductance, R is the coil internal resistance, f is the working frequency, mu0The vacuum coefficient, a, wire diameter, and σ are the electrical conductivity.
7. The optimization method for coil parameters of the insulator relay type wireless power supply system according to claim 4, wherein the optimization method for the number n of relay coils and the coil arrangement positions in step S3 comprises the following steps:
modeling an insulator relay type wireless power supply system, and writing a KVL equation through an equivalent circuit column of the insulator relay type wireless power supply system;
solving a KVL equation to obtain loop current of each coil, and further solving to obtain specific expressions of system transmission power and transmission efficiency and parameters of each coil;
according to the limiting conditions of the arrangement positions of the coils, the minimum power supply requirement P of the on-line monitoring equipment is metLminOn the premise of improving the transmission efficiency, the number n of the relay coils and the arrangement positions of the coils are optimized.
8. The insulator relay type wireless power supply system coil parameter optimization method according to claim 7, wherein KVL equation is as follows:
Figure FDA0003534162080000021
wherein the content of the first and second substances,
Figure FDA0003534162080000022
is a high-frequency inversion voltage source, omega is the working angular frequency, RLIs an equivalent load, Ls，Cs，RsRespectively the self-inductance, the compensation capacitance and the equivalent internal resistance, L, of the transmitting coilr，Cr，RrRespectively the self-inductance, the compensation capacitance and the equivalent internal resistance, L, of the receiving coili，Ci，Ri(i ∈ 1,2, …, n) are the self-inductance, compensation capacitance and equivalent internal resistance of the relay coil i, respectively.
Figure FDA0003534162080000023
Is the current at the transmitting end and is,
Figure FDA0003534162080000024
to flow through a load RLThe current of (a) is measured,
Figure FDA0003534162080000025
is a current flowing through each relay coil i. M is a group ofsiIs the mutual inductance between the transmitting coil and the relay coil i, MirFor mutual inductance between the relay coil i and the receiver coil, Mij(i ≠ j) is the mutual inductance between relay coils i and j, MsrIs the mutual inductance between the transmitter coil and the receiver coil.
9. The method for optimizing the coil parameters of the insulator relay type wireless power supply system according to claim 7, wherein the system transmission power PLAnd the relation of the transmission efficiency η with the number n of relay coils and the coil arrangement position is expressed as:
Figure FDA0003534162080000026
wherein d issiIs the distance between the transmitting coil and the relay coil i, i ∈ 1,2, …, n; dirDistance between the repeater coil i and the receiver coil, dijJ belongs to 1,2, …, n, i is not equal to j; dsrIs the distance between the transmitting coil and the receiving coil;
the coil arrangement position has the following limitations:
Figure FDA0003534162080000031
wherein l is the distance between adjacent insulator disks at the position where the coil can be embedded externally, and n0M is the number of the insulator disks and m is the externally embeddable relayThe number of insulator disks of the coil, k is 1,2,3, ….
10. The insulator relay type wireless power supply system coil parameter optimization method according to claim 7, wherein the coil arrangement mode optimization method when the number of relay coils is n is as follows:
the positions where the relay coils can be externally embedded on the insulator string are marked as (I), (II), …, m) by J1，J2，…，JnThe pointed insulator string positions respectively represent the external embedding positions of the relay coils 1,2, …, n, and n is less than or equal to m;
when the number of relay coils is n, k is initialized1＝1，PL0, η is 0; then, the following steps are executed:
(1) if k is1M-n +1 or less, then J1→k1，k2＝k1+1, executing the next step, otherwise, ending;
(2) if k is2Less than or equal to m-n +2, then J2→k2，k3＝k2+1, perform the next step, otherwise k1＝k1+1, returning to the previous step;
……
……
(n-1) if kn-1M-1 or less, then Jn-1→kn-1，kn＝kn-1+1, perform the next step, otherwise kn-2＝kn-2+1, returning to the previous step;
(n) if knM is less than or equal to m, then Jn→knCalculating the J at the time by using the relational expression of the system transmission power and transmission efficiency, the number of the relay coils and the coil arrangement position1，J2，…，Jn-1，JnCorresponding system transmission power P when pointing to external embedding position of relay coil of insulator stringLTransport efficiency η, denoted as scheme { J1→k1，J2→k2，…，Jn-1→kn-1，Jn→knComparing the performances of different schemes, and storing PL＞PLminAnd the arrangement of the coil positions, k, with optimum efficiencyn＝kn+1, continue to step (n), otherwise kn-1＝kn-1+1, returning to the previous step;
wherein k is1，k2，…，kn-1，knThe value of (A) represents the sequence number of the position where the relay coil marked on the insulator string can be externally embedded; through the above steps until k1Is greater than m-n +1, and the performance of all coil arrangement schemes when the number of relay coils is n is compared to obtain the condition that P is satisfiedL＞PLminAnd the coil position arrangement mode with optimal efficiency;
by adopting the mode, the corresponding optimal coil arrangement modes when the number n of the relay coils is respectively 1,2, … and m are obtained one by one, and finally the optimal relay coil number n and the coil arrangement position are determined by comparing the performances of each scheme.
CN202210222485.3A 2022-03-07 2022-03-07 Insulator relay type wireless power supply system and coil parameter optimization method thereof Pending CN114595574A (en)

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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN115828647A (en) * 2023-02-22 2023-03-21 广东电网有限责任公司湛江供电局 Method, system, equipment and medium for determining coil model of wireless power supply system

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN115828647A (en) * 2023-02-22 2023-03-21 广东电网有限责任公司湛江供电局 Method, system, equipment and medium for determining coil model of wireless power supply system

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