CN113098148B - Method for calculating maximum transmission power point of three-transmitting-coil resonant wireless power transmission system - Google Patents
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- H—ELECTRICITY
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Abstract
The invention discloses a method for calculating the maximum transmission power point of a three-transmitting-coil resonant wireless power transmission system. The invention can accurately calculate the optimal output power point of the transmitting coil in the working state, and the transmission efficiency of the wireless electric energy transmission system can be greatly improved by adjusting the position of the receiving coil.
Description
Technical Field
The invention belongs to the field of wireless energy transmission, and particularly relates to a method for calculating a maximum transmission power point.
Background
In recent years, portable electric appliances such as portable computers and smart phones have been developed rapidly, and technologies such as CPUs, memories, and screens have been advanced sufficiently. However, the mobile phone battery technology has no other progress except for the capacity improvement, which also restricts the further development of the intelligent device.
In recent years, wireless energy transmission (WPT) technology has attracted much attention, and is mainly classified into three types of technologies, namely, an induction type, a microwave radiation type, and a magnetic coupling resonance type, wherein the magnetic coupling resonance type wireless energy transmission (MCR-WPT) has the characteristics of long transmission distance, high speed, high efficiency, and large function, and has been the main direction of research in recent years. A resonance inductor and a resonance capacitor are connected in series in the transmitting coil and the receiving coil. When the device works, the two coils are in a resonance state, so that the maximum value of transmission efficiency is achieved. However, in most scenarios, the position of the receiver is not fixed, and the difference of the position can cause the difference of the transmission efficiency, so that it is important to determine the maximum power point of an MCR-WPT system.
Chinese patent application 201810792990 discloses a parameter optimization method for a complementary symmetric LCC resonant network EC-WPT system, which performs population initialization through two parameters, finds the relationship between the maximum efficiency point and the parameters of the system by combining an adaptive algorithm and nonlinear programming, judges whether the output power meets the requirements when the system runs, automatically adjusts the parameters if the output power does not meet the requirements, and re-finds the maximum power point.
Chinese patent application 202010736111 discloses a multi-transmitting single-receiving WPT optimization method with adjustable feeding electric parameters, which obtains the relationship among the parameters through a system equivalent circuit, optimizes the current on a transmitting coil according to a current type optimization circuit to obtain the maximum power of the system, and optimizes the feeding voltage of a voltage source according to a voltage type optimization circuit to obtain the maximum power of the system.
In the prior art, a method for adjusting a certain parameter in a system is adopted to maximize the power of a receiving coil, and a method for confirming the maximum power point position of a multi-transmitting-coil MCR-WPT system is not available at present.
Disclosure of Invention
In order to solve the technical problems mentioned in the background art, the invention provides a method for calculating the maximum transmission power point of a three-transmitting-coil resonant wireless power transmission system, which can accurately position the maximum power point of the wireless power transmission system.
In order to achieve the technical purpose, the technical scheme of the invention is as follows:
a method for calculating the maximum transmission power point of a three-transmitting-coil resonant wireless power transmission system comprises the following steps:
(1) establishing a kirchhoff voltage equation set of a transmitting coil and a receiving coil according to an equivalent circuit diagram of the omnidirectional wireless power transmission system;
(2) calculating the load current value of the receiving coil according to a kirchhoff voltage equation set;
(3) calculating load power and deducing the relation between the load power and mutual inductance;
(4) establishing a relation between mutual inductance M of the two coils at any position in space, an offset angle and a distance between center points of the two coils according to coil mutual inductance definition;
(5) establishing total mutual inductance M between a multi-transmitting coil system and a receiving coil according to a mutual inductance superposition principle total The relationship between the offset angles α, β and the coil distance d; wherein, alpha is an included angle between the horizontal projection of the central point of the receiving coil positioned on the XOY plane of the transmitting coil system and the X axis, beta is an included angle between the connecting line of the central points of the transmitting coil system and the receiving coil and the horizontal projection of the central point of the transmitting coil system on the XOY plane of the transmitting coil system, and d is the distance between the central points of the transmitting coil system and the receiving coil;
(6) according to the relation established in the step (5), offset angles alpha and beta and total mutual inductance M total Carrying out simulation, and determining the offset angle of the maximum power point of the system;
(7) according to the relation established in the step (5), simulating the coil distance d and the total mutual inductance Mtotal, and determining the coil distance of the maximum power point of the system;
(8) and (4) determining the position of the maximum power point of the system according to the results of the steps (6) and (7).
Further, in step (1), the kirchhoff voltage equation is as follows:
U 1 ＝(R 1 +jX 1 )I 1 +jωM 1a I a
U 2 ＝(R 2 +jX 2 )I 2 +jωM 2a I a
U 3 ＝(R 3 +jX 3 )I 3 +jωM 3a I a
0＝(R a +R L +jX a )I a +jω(M 1a I a +M 2a I a +M 3a I a )
wherein R is i To correspond to the internal resistance of the transmitting coil, R a For receiving internal resistance of the coil, U i To an input voltage of the corresponding transmitting coil, I i To correspond to the current of the transmitting coil, I a For receiving coil load current, X i ＝ω(L i -C i )，L i To correspond to the resonant inductance of the transmitting coil, C i For series-resonant capacitance of the transmitting coil, X a ＝ω(L a -C a )，L a Is the resonant inductance of the receiving coil, C a Is the series resonance capacitance of the receiving coil, omega is the resonance angular frequency, R L Is the load resistance of the receiving coil, j is an imaginary unit, M ia For the respective transmitter coil and receiver coil mutual inductance, i is 1,2,3, which respectively denote three transmitter coils.
Further, in step (2), the receiving coil load current value is as follows:
further, in step (3), the load power is as follows:
wherein, P L Is the load power.
Further, in the step (3), there is a positive correlation between the load power and the mutual inductance.
Further, in the step (4), the relationship between the mutual inductance M of the two coils at any position in space and the offset angle and the distance between the center points of the two coils is as follows:
wherein n is the number of turns of the coil, mu 0 For air permeability, r is the coil radius, θ and
three-dimensional construction of two coils with minimum integral unit offset from respective horizontal planes of the two coilsThe angle of the X-axis of the coordinate system.
Further, in the step (5), the total mutual inductance M total The following were used:
wherein,
further, in step (6), coil distance d is fixed, and matlab is used to total mutual inductance M total And (5) simulating by using a formula to obtain the relation between the offset angles alpha and beta and the total mutual inductance of the system.
Further, in the step (7), according to the simulation result of the step (6), the offset angles alpha and beta are fixed, and matlab is used for simulation, so that the relation between the coil distance d and the total system mutual inductance is obtained.
Adopt the beneficial effect that above-mentioned technical scheme brought:
1. the invention can accurately position the maximum point of the transmission power of the wireless power transmission system with three transmitting coils during working, and can effectively improve the transmission efficiency of the system;
2. the invention can reliably position the maximum power point without additional professional equipment by only needing a plurality of coil parameters, thereby saving the space occupied by a transmission system and greatly reducing the calculation complexity;
3. the invention provides an idea for controlling the position of the subsequent receiving coil.
Drawings
FIG. 1 is an equivalent circuit diagram of the present invention;
FIG. 2 is a schematic spatial position diagram of a two-coil model MCR-WPT system;
FIG. 3 is a schematic diagram of the spatial location of an omnidirectional MCR-WPT system;
FIG. 4 is a simulation plot of the offset angle of the omnidirectional MCR-WPT system versus the system mutual inductance;
figure 5 is a simulation of the coil distance and system mutual inductance of an omnidirectional MCR-WPT system.
Detailed Description
The technical scheme of the invention is explained in detail in the following with the accompanying drawings.
As shown in the equivalent circuit diagram of the present invention shown in fig. 1, the coil, the capacitor, the inductor and the load impedance are connected in series in sequence. The capacitor and the inductor form a resonance circuit, and the electric field energy in the capacitor and the magnetic field energy in the inductor can be converted mutually to be completely compensated. Wherein R is i To correspond to the internal resistance of the transmitting coil, R a For receiving internal resistance of the coil, U i To an input voltage of the corresponding transmitting coil, I i To correspond to the current of the transmitting coil, I a For receiving the coil load current, L i To correspond to the resonant inductance of the transmitting coil, C i Is a series resonance capacitance, L, of the corresponding transmitting coil a Is the resonant inductance of the receiving coil, C a Is a series resonant capacitor of a receiving coil, R L For loading the receiving coil with a resistance, M ia For the respective transmitter coil and receiver coil mutual inductance, i is 1,2,3, which respectively denote three transmitter coils.
As shown in fig. 2, which is a schematic diagram of a spatial position of a two-coil model MCR-WPT system, taking a central point of a transmitting coil as an origin of coordinates, making axes Ox and Oy perpendicular to each other in a plane of the transmitting coil, and making an axis Oz perpendicular to an plane xOy; taking the central point of the receiving coil as the origin of coordinates, making the axes of Ox 'and Oy' in the plane of the receiving coil and perpendicular to each other, ensuring the projection of Ox 'on the xOy plane to coincide with the axis of Ox, and making the axis of Oz' perpendicular to the plane of x 'Oy'. dl1 and dl2 are respectively the minimum cutting units of two coils, r is the radius of the coil, the two coils of the invention have the same specification, D is the distance from the circle center of the receiving coil to the plane of the transmitting coil, theta and
and the minimum integral units of the two coils respectively deviate from the x axis and the x' axis of a three-dimensional coordinate system established by the respective horizontal planes of the two coils.
Fig. 3 is a schematic diagram of the spatial position of the omnidirectional MCR-WPT system, which uses the central point of the transmitting coil system as the coordinate origin, and makes the axes Ox and Oy perpendicular to each other in the plane of the transmitting coil Tx2, and makes the axis Oz perpendicular to the plane of xOy. d is the distance between the central points of the transmitting coil system and the receiving coil, alpha is the included angle between the horizontal projection of the central point of the receiving coil positioned on the XOY plane of the transmitting coil system and the X axis, and beta is the included angle between the connecting line of the central points of the transmitting coil system and the receiving coil and the horizontal projection of the central point of the transmitting coil system and the receiving coil positioned on the XOY plane of the transmitting coil system.
The invention designs a method for calculating the maximum transmission power point of a three-transmitting-coil resonant wireless power transmission system, which comprises the following steps:
a method for calculating the maximum transmission power point of a three-transmitting-coil resonant wireless power transmission system comprises the following steps:
step 1: establishing a kirchhoff voltage equation set of a transmitting coil and a receiving coil according to an equivalent circuit diagram of the omnidirectional wireless power transmission system;
step 2: calculating the load current value of the receiving coil according to a kirchhoff voltage equation set;
and step 3: calculating load power and deducing the relation between the load power and mutual inductance;
and 4, step 4: establishing a relation between mutual inductance M of the two coils at any position in space, an offset angle and a distance between center points of the two coils according to coil mutual inductance definition;
and 5: establishing total mutual inductance M between a multi-transmitting coil system and a receiving coil according to a mutual inductance superposition principle total The relationship between the offset angles α, β and the coil distance d; wherein, alpha is an included angle between the horizontal projection of the central point of the receiving coil positioned on the XOY plane of the transmitting coil system and the X axis, beta is an included angle between the connecting line of the central points of the transmitting coil system and the receiving coil and the horizontal projection of the central point of the transmitting coil system and the receiving coil on the XOY plane of the transmitting coil system, and d is the distance between the central points of the transmitting coil system and the receiving coil;
step 6: according to the relation established in the step 5, the offset angles alpha and beta and the total mutual inductance M are corrected total Carrying out simulation, and determining the offset angle of the maximum power point of the system;
and 7: according to the relation established in the step 5, simulating the coil distance d and the total mutual inductance Mtotal, and determining the coil distance of the maximum power point of the system;
and step 8: and determining the position of the maximum power point of the system according to the results of the steps 6 and 7.
Preferably, in step 1, the kirchhoff voltage equation set is as follows:
U 1 ＝(R 1 +jX 1 )I 1 +jωM 1a I a
U 2 ＝(R 2 +jX 2 )I 2 +jωM 2a I a
U 3 ＝(R 3 +jX 3 )I 3 +jωM 3a I a
0＝(R a +R L +jX a )I a +jω(M 1a I a +M 2a I a +M 3a I a )
wherein X i ＝ω(L i -C i ) And ω is the resonance angular frequency.
Preferably, in step 2, the receiving coil load current values are as follows:
preferably, in step 3, the load power is as follows
Wherein, P L Is the load power.
Preferably, in step 3, there is a positive correlation between the load power and the mutual inductance.
Preferably, in step 4, the relationship between the mutual inductance M of the two coils at any position in space and the offset angle and the distance between the center points of the two coils is as follows:
wherein n is the number of turns of the coil, mu 0 Is air permeability and r is coil halfDiameter, θ and
and respectively offsetting the angle of the X axis of a three-dimensional coordinate system established by the respective horizontal planes of the two coils by the minimum integral unit of the two coils.
Preferably, in step 5, the total mutual inductance M total The following were used:
wherein,
first quadrant offset angle exceeding
Is equivalent to this value range and the remaining quadrants of the space are equivalent to the first quadrant.
Preferably, in step 6, the coil distance d is fixed and the matlab is used to pair the total mutual inductance M total The formula is used for simulation to obtain the relationship between the offset angles alpha and beta and the total mutual inductance of the system, and the mutual inductance of the coil is increased along with the increase of the offset angle, as shown in fig. 4. According to the positive correlation between the mutual inductance of the coil and the load power, the offset angle of the maximum power point is
Preferably, in step 7, the offset angle is fixed according to the simulation result of step 6
And
and (5) carrying out simulation by using matlab to obtain the relation between the coil distance d and the total mutual inductance of the system. As shown in FIG. 5, it can be seen that the mutual inductance of the coil gradually increases as the distance from the coil increases from 6cm to 14cm, and gradually decreases as the distance exceeds 14cm, so that it is most preferableThe distance d corresponding to the high-power point is 14 cm.
In conclusion, the maximum power point position of the omnidirectional MCR-WPT system is set as
d＝14cm。
The embodiments are only for illustrating the technical idea of the present invention, and the technical idea of the present invention is not limited thereto, and any modifications made on the basis of the technical scheme according to the technical idea of the present invention fall within the scope of the present invention.
Claims (6)
1. A method for calculating the maximum transmission power point of a three-transmitting-coil resonant wireless power transmission system is characterized by comprising the following steps:
(1) establishing a kirchhoff voltage equation set of a transmitting coil and a receiving coil according to an equivalent circuit diagram of the omnidirectional wireless power transmission system:
U 1 ＝(R 1 +jX 1 )I 1 +jωM 1a I a
U 2 ＝(R 2 +jX 2 )I 2 +jωM 2a I a
U 3 ＝(R 3 +jX 3 )I 3 +jωM 3a I a
0＝(R a +R L +jX a )I a +jω(M 1a I a +M 2a I a +M 3a I a )
wherein R is i To correspond to the internal resistance of the transmitting coil, R a For receiving internal resistance of the coil, U i To an input voltage of the corresponding transmitting coil, I i To correspond to the current of the transmitter coil, I a For receiving coil load current, X i ＝ω(L i -C i )，L i To correspond to the resonant inductance of the transmitting coil, C i Is a series resonance capacitance, X, of the corresponding transmitting coil a ＝ω(L a -C a )，L a Being the resonant inductance of the receiver coil, C a Series resonant capacitor for a receiver coilOmega is the resonance angular frequency, R L Is the load resistance of the receiving coil, j is an imaginary unit, M ia For the respective transmitter coil and receiver coil mutual inductance, i ═ 1,2,3, which respectively denote three transmitter coils;
(2) calculating the load current value of the receiving coil according to a kirchhoff voltage equation:
(3) calculating load power and deducing the relation between the load power and mutual inductance;
(4) establishing a relation between mutual inductance M of the two coils at any position in space, an offset angle and a distance between center points of the two coils according to coil mutual inductance definition:
wherein n is the number of turns of the coil, mu 0 For air permeability, r is the coil radius, θ and
respectively offsetting the angle of the X axis of a three-dimensional coordinate system established by the respective horizontal planes of the two coils by the two coil minimum integral units;
(5) establishing total mutual inductance M between a multi-transmitting coil system and a receiving coil according to a mutual inductance superposition principle total The relationship between the offset angles α, β and the coil distance d; wherein, alpha is an included angle between the horizontal projection of the central point of the receiving coil positioned on the XOY plane of the transmitting coil system and the X axis, beta is an included angle between the connecting line of the central points of the transmitting coil system and the receiving coil and the horizontal projection of the central point of the transmitting coil system and the receiving coil on the XOY plane of the transmitting coil system, and d is the distance between the central points of the transmitting coil system and the receiving coil;
(6) according to the relation established in the step (5), the offset angles alpha and beta and the total mutual inductance M are adjusted total Carrying out simulation, and determining the offset angle of the maximum power point of the system;
(7) according to the relation established in the step (5), simulating the coil distance d and the total mutual inductance Mtotal, and determining the coil distance of the maximum power point of the system;
(8) and (6) determining the position of the maximum power point of the system according to the results of the steps (6) and (7).
2. The method for calculating the maximum transmission power point of the three-transmitting-coil resonant wireless power transmission system according to claim 1, wherein in the step (3), the load power is as follows:
wherein, P L Is the load power.
3. The method for calculating the maximum transmission power point of the three-transmitting-coil resonant wireless power transmission system according to claim 2, wherein in the step (3), a positive correlation exists between the load power and the mutual inductance.
4. The method for calculating the maximum transmission power point of a three-transmission-coil resonant wireless power transmission system according to claim 1, wherein in step (5), the total mutual inductance M total The following:
wherein,
5. the method for calculating the maximum transmission power point of a three-transmitting-coil resonant wireless power transmission system according to claim 4, wherein in the step (6), the coil distance d is fixed, and matlab is used to calculate the total mutual inductance M total Simulating by a formula to obtainAnd (4) obtaining the relation between the offset angles alpha and beta and the total mutual inductance of the system.
6. The method for calculating the maximum transmission power point of the three-transmitting-coil resonant wireless power transmission system according to claim 5, wherein in the step (7), according to the simulation result in the step (6), the offset angles α and β are fixed, and matlab is used for simulation, so that the relationship between the coil distance d and the total mutual inductance of the system is obtained.
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| CN110336386A (en) * | 2019-07-26 | 2019-10-15 | 郑州轻工业学院 | A method of magnet coupled resonant type wireless electric energy transmission system efficiency when optimization coil offset |
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| CN108494112A (en) * | 2018-04-24 | 2018-09-04 | 华中科技大学 | A kind of analysis method of Meta Materials equivalent circuit for radio energy transmission system |
| CN110336386A (en) * | 2019-07-26 | 2019-10-15 | 郑州轻工业学院 | A method of magnet coupled resonant type wireless electric energy transmission system efficiency when optimization coil offset |
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