CN111898289A - LCC-S topological parameter design method for remote wireless charging - Google Patents

LCC-S topological parameter design method for remote wireless charging Download PDF

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CN111898289A
CN111898289A CN202010545321.5A CN202010545321A CN111898289A CN 111898289 A CN111898289 A CN 111898289A CN 202010545321 A CN202010545321 A CN 202010545321A CN 111898289 A CN111898289 A CN 111898289A
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CN111898289B (en
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黄学良
钟汝莹
谭林林
汤宗尧
孟涛
李佳承
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Abstract

The invention discloses a remote wireless charging LCC-S topological parameter design method, which comprises the following steps: (1) setting target parameters; (2) calculating the minimum efficiency required to be met by the resonator according to design requirements; (3) establishing an LCC-S equivalent circuit based on a mutual inductance equivalent model, and analyzing to obtain constraint relations between circuit parameters and current, input power, output power and efficiency of each branch circuit; (4) designing parameters of a magnetic coupling mechanism under the condition of long-distance transmission; (5) designing primary side compensation inductance (capacitance) parameters; (6) calculating compensation inductance loss, eddy current loss, magnetic hysteresis loss and capacitance loss; (7) calculating the efficiency of the resonator and comparing the efficiency with a target set value, wherein if the designed efficiency of the resonator is more than or equal to the target set efficiency, the designed parameter value meets the target parameter setting requirement; otherwise, the parameters need to be redesigned by returning to the step (4). The invention is used for promoting the application universality and the economical efficiency of the wireless power transmission technology.

Description

LCC-S topological parameter design method for remote wireless charging
Technical Field
The invention belongs to the technical field of wireless power transmission, and particularly relates to a remote wireless charging LCC-S topological parameter design method.
Background
The Wireless Power Transmission (WPT) technology has the advantages of simple and safe charging mode, and has a wide development prospect in the fields of military, civil use, and the like. With the increasing application of the wireless power transmission distance in military, the requirements on the transmission distance and efficiency are also increased, however, the existing wireless charging technology can only realize the energy transmission at a medium distance (10cm-50cm), the transmission capability at a long distance (50cm-200cm) is poor, and the longer the transmission distance is, the poorer the electromagnetic field coupling capability is, the lower the effective utilization rate of the power is, which greatly limits the wide application of the wireless power transmission technology. Therefore, a parameter design method of a wireless charging system is needed to realize long-distance and high-efficiency energy transmission so as to improve the application universality and economy of the wireless power transmission technology.
Disclosure of Invention
In order to solve the problems in the prior art, the invention provides a remote wireless charging LCC-S topological parameter design method which is used for promoting the application universality and the economical efficiency of a wireless power transmission technology.
The purpose of the invention is realized by the following technical scheme:
a method for designing remote wireless charging LCC-S topological parameters comprises the following steps:
(1) setting target parameters: load received power P of wireless charging systemLSystem efficiency eta, and transmitting end rectification inversion efficiency eta1Secondary coil rectification and DC-DC efficiency eta3System working frequency f and transmission distance d between magnetic coupling mechanisms;
(2) calculating the minimum efficiency eta required to be met by the resonator according to the design requirement2；
(3) Establishing an LCC-S equivalent circuit based on a mutual inductance equivalent model, and analyzing to obtain constraint relations between circuit parameters and current, input power, output power and efficiency of each branch circuit;
(4) designing parameters of a magnetic coupling mechanism under a long-distance transmission condition to obtain better self-inductance and mutual-inductance parameters of the magnetic coupling mechanism;
(5) designing primary side compensation inductance (capacitance) parameters, and calculating to obtain the output current of the inverter power supply and the current of a receiving and transmitting coil;
(6) calculating compensation inductance loss, eddy current loss, magnetic hysteresis loss and capacitance loss;
(7) calculating the efficiency of the resonator and comparing the efficiency with a target set value, wherein if the designed efficiency of the resonator is more than or equal to the target set efficiency, the designed parameter value meets the target parameter setting requirement; and (4) if the resonator efficiency obtained by design is less than the target set efficiency, returning to the step (4) to redesign the parameters.
The LCC-S topological parameter design method for long-distance wireless charging comprises the step (2) of calculating the minimum efficiency eta required to be met by a resonator according to design requirements2The specific method comprises the following steps:
according to the rectification and inversion efficiency eta of the transmitting terminal1Secondary coil rectification and DC-DC efficiency eta3And the required wireless charging system efficiency requirement eta calculates the minimum efficiency eta that the resonator needs to achieve2The calculation formula is as follows:
Figure BDA0002539936690000021
the LCC-S topology parameter design method for remote wireless charging comprises the specific steps of (3) establishing an LCC-S equivalent circuit based on a mutual inductance equivalent model, and analyzing and obtaining constraint relations among circuit parameters, branch currents, input power, output power and efficiency, wherein the specific steps are as follows:
in order to make the primary and secondary coils all in resonance state, then:
Figure BDA0002539936690000022
from the KVL equation:
Figure BDA0002539936690000023
Figure BDA0002539936690000024
solving to obtain:
Figure BDA0002539936690000025
thus, the solution yields the primary input power PinLoad received power PLAnd the system efficiency η is respectively:
Figure BDA0002539936690000026
Figure BDA0002539936690000031
Figure BDA0002539936690000032
in formulae (2) to (8), ZfIs the impedance of the branch in which the input power is located, Z1And Z2The impedance of the branch where the primary coil and the secondary coil are respectively located; u is the input voltage of the resonance compensation network; l isP、LSSelf-inductance of primary and secondary coils, respectively, LfCompensating the inductance for the primary side; cP、CfA primary coil resonance compensation capacitor and a primary compensation capacitor, CSA resonance compensation capacitor for the secondary coil; m is the mutual inductance of the magnetic coupling mechanism; rP、RS、RfThe internal resistances of the primary coil, the secondary coil and the compensation inductor are respectively; rLIs a load resistor; omega is angular frequency, I is power supply input current, I1And I2Current flowing through the primary coil and the secondary coil, respectively; j is an imaginary number.
The LCC-S topology parameter design method for long-distance wireless charging is characterized in that the specific method for designing the parameters of the magnetic coupling mechanism under the long-distance transmission condition to obtain the optimal self-inductance and mutual-inductance parameters of the magnetic coupling mechanism in the step (4) is as follows: according to the working frequency and transmission distance of the system, parameter requirements are set, an electromagnetic simulation model of the wireless charging system magnetic coupling mechanism under the remote transmission condition is established in ANSYS, the established simulation model comprises a coil and a ferrite, self-inductance and mutual inductance values of different magnetic coupling mechanism sizes and turns are obtained through simulation in a parameter scanning mode, and then the relation between the efficiency increment and the mutual inductance increment is obtained through combining efficiency calculation formulas in formulas (6) to (8), so that better self-inductance and mutual inductance parameter values of the magnetic coupling mechanism are obtained through preferential selection.
The long-distance wireless charging LCC-S topological parameter design method comprises the step (5) of designing a primary side compensation inductance parameter LfThe specific method comprises the following steps: analysis of L according to the calculation formulas in formulas (6) to (8)fThe influence of parameter selection on system efficiency and output power is obtained on the basis of ensuring load receiving power and lowest compensation inductance loss to obtain the optimal primary side compensation inductance value.
The LCC-S topological parameter design method for remote wireless charging comprises the following specific steps of calculating and compensating inductance loss, eddy current loss, hysteresis loss and capacitance loss in the step (6):
calculating according to the designed LCC-S parameter and the formula (5) to obtain the calculation formula of each branch current according to Pf＝I2RfObtaining compensation inductance loss, wherein the internal resistance of the compensation inductance is estimated by adopting a laboratory measurement method or a method communicated with a manufacturer, and eddy current loss and hysteresis loss in the magnetic coupling mechanism and the compensation inductance are obtained by ANSYS simulation; the capacitance loss is calculated by the following formula:
Figure BDA0002539936690000033
Figure BDA0002539936690000034
wherein, PfCompensating for losses of inductance, W, on the primary sidecIs the loss power of the capacitor, P is the active power of the capacitor, Q is the reactive power of the capacitor, tan σ is the loss tangent angle of the capacitor, f is the operating frequency of the circuit, UCIs the voltage across the capacitor, and C is the capacitance of the capacitor.
Drawings
FIG. 1 is a flow chart of LCC-S topology parameter design for remote, high efficiency wireless charging;
FIG. 2 is an LCC-S topology mutual inductance equivalent model diagram.
Detailed Description
The design method of the present invention will be further explained with reference to the drawings and the embodiments.
(1) Calculating the minimum efficiency eta required to be met by the resonator according to the design requirement2；
According to the rectification and inversion efficiency eta of the transmitting terminal1Secondary coil rectification and DC-DC efficiency eta3And the required wireless charging system efficiency requirement eta calculates the minimum efficiency eta that the resonator needs to achieve2The calculation formula is as follows:
Figure BDA0002539936690000041
(2) establishing an LCC-S equivalent circuit based on a mutual inductance equivalent model, and analyzing to obtain constraint relations between circuit parameters and current, input power, output power and efficiency of each branch circuit;
the LCC-S topological mutual inductance equivalent model is shown in FIG. 2, wherein ZfIs the impedance of the branch in which the input power is located, Z1And Z2The impedance of the branch where the primary coil and the secondary coil are respectively located; u is the input voltage of the resonance compensation network; l isP、LSSelf-inductance of primary and secondary coils, respectively, LfCompensating the inductance for the primary side; cP、CfA primary coil resonance compensation capacitor and a primary compensation capacitor, CSA resonance compensation capacitor for the secondary coil; m is the mutual inductance of the magnetic coupling mechanism; rP、RS、RfThe internal resistances of the primary coil, the secondary coil and the compensation inductor are respectively; rLIs a load resistor; omega is angular frequency, I is power supply input current, I1And I2Current flowing through the primary coil and the secondary coil, respectively; j is an imaginary number.
In order to make the primary and secondary coils in resonance state, the primary and secondary coils are in resonance state
Figure BDA0002539936690000042
From KVL equation
Figure BDA0002539936690000043
Wherein Z isfIs the impedance of the branch in which the input power is located, Z1And Z2Respectively the impedance at the branch where the primary and secondary coils are located.
Figure BDA0002539936690000044
Solve to obtain
Figure BDA0002539936690000051
Therefore, the primary side input power, the load output power and the load efficiency can be solved to be respectively
Figure BDA0002539936690000052
Figure BDA0002539936690000053
Figure BDA0002539936690000054
(3) Parameters such as the size, the number of turns and the like of the magnetic coupling mechanism under the long-distance transmission condition are designed, and the self-inductance and mutual-inductance parameters of the magnetic coupling mechanism are obtained;
the magnetic coupling mechanism is used as an important component for realizing wireless energy transmission, and the advantages and disadvantages of the magnetic coupling mechanism are related to the performance of the whole wireless charging system. Therefore, an electromagnetic simulation model of the wireless charging system magnetic coupling mechanism under the remote transmission condition needs to be established in ANSYS according to the requirements of the operating frequency and the transmission distance of the system on set parameters, and the established simulation model comprises a coil and a ferrite. Self-inductance and mutual inductance values of different magnetic coupling mechanism sizes and turns are obtained through parameter scanning simulation, and then the relation between the efficiency increment and the mutual inductance increment is obtained through combining the efficiency calculation formulas in the formulas (6) to (8), so that better self-inductance and mutual inductance parameter values of the magnetic coupling mechanism are obtained through preferential selection.
After the self-inductance L of the primary coil and the secondary coil of the magnetic coupling mechanism is determinedPAnd LSAnd after the mutual inductance value M, calculating the internal resistance of the coil. According to the existing reference and IEC standard IEC-60287, the following two calculation formulas of the alternating current resistance of the high-frequency litz wire can be obtained respectively:
Figure BDA0002539936690000055
where ρ represents the resistivity of litz wire (ρ 1.75 × 10 for copper wire)-8Ω · m), l being the length of the litz wire, NSNumber of strands of litz wire, DWAnd DSThe diameters of the litz wire and the single solid core wire, respectively, are given in cm, and f is the frequency of the current flowing through the litz wire.
Rac＝Rd(1+ys) (10)
Figure BDA0002539936690000061
Wherein x is2＝8πf×10-7/ρd,ρdFor DC resistivity, the AC resistance increases with increasing f, but the trend increases more slowly with increasing frequency, RdIs a direct current resistance, RacIs an AC resistor
According to the formula (9), the loss increases exponentially with the increase of the frequency, and according to the laboratory test result, the resistance does not conform to the exponential growth rule, so that the equations (10) and (11) are adopted for calculating the alternating current resistance.
In addition, two coefficients also need to be corrected in the litz wire alternating current resistance calculation process, wherein firstly, the stranding length coefficient of the multi-strand litz wire needs to be multiplied by 1.1-1.15, and the number of times of stranding is determined; and secondly, the alternating current-direct current resistance ratio can be obtained by contacting a manufacturer to provide data after the litz wire selection is determined.
(4) Designing primary side compensation inductance (capacitance) parameters, and calculating to obtain the output current of the inverter power supply and the current of a receiving and transmitting coil;
after the parameters of the magnetic coupling mechanism are designed and the self inductance and mutual inductance values of the primary coil and the secondary coil are obtained, the compensation inductance parameters in the primary LCC also need to be designed, and the following principles need to be considered:
firstly, the compensation inductance L can be known according to the calculation formulas in the formulas (6) to (8)fSize of itself does not affect the size of the system efficiency, but LfWill have a resistance value of LfThe larger the resistance value, and LfThe larger the current of the inverter power supply is, the smaller the current of the inverter power supply is, and the current of the transmitting coil and the current of the receiving coil are reduced, so that the value of L needs to be adjusted, and the product of the square of the current and the resistance is smaller.
Inductor LfThis increase in inductance L leads to a decrease in the current of the transmitter coil, which naturally leads to a decrease in the secondary current, which in turn leads to a decrease in the received power of the loadfThe value of (a) needs to guarantee the design requirement of the load receiving power.
Based on the principle, under the condition of known parameters, the compensation inductance parameter value is adjusted to obtain the variation trend of the inverter power supply current and the system loss along with the compensation inductance, the optimal mutual inductance value is selected on the premise of meeting the output power requirement, and the inverter power supply output current and the receiving and transmitting coil current can be further calculated.
(5) Calculating compensation inductance loss, eddy current loss, magnetic hysteresis loss and capacitance loss;
after the wireless charging LCC-S parameters are designed, in order to obtain the resonator efficiency through calculation, the internal resistance loss of a coil of the magnetic coupling mechanism is considered, and the compensation inductance, the eddy current loss and the hysteresis loss in the magnetic coupling mechanism and the capacitance loss need to be considered.
The compensation inductance internal resistance loss can be estimated by adopting a laboratory measurement method and a method of communicating with a manufacturer; the eddy current loss and the hysteresis loss in the compensation inductance and the magnetic coupling mechanism can be obtained through ANSYS simulation; the capacitance loss can be calculated using the following equation:
Figure BDA0002539936690000062
Figure BDA0002539936690000063
wherein, WcIs the loss power of the capacitor, P is the active power of the capacitor, Q is the reactive power of the capacitor, tan σ is the loss tangent angle of the capacitor, f is the operating frequency of the circuit, UCIs the voltage across the capacitor, and C is the capacitance of the capacitor.
(6) Calculating the efficiency of the resonator and comparing the efficiency with a target set value, wherein if the designed efficiency of the resonator is more than or equal to the target set efficiency, the designed parameter value meets the parameter setting requirement; and (4) if the resonator efficiency obtained by design is less than the target set efficiency, returning to the step (4) to redesign the parameters.

Claims (6)

1. A remote wireless charging LCC-S topological parameter design method is characterized by comprising the following steps: the method comprises the following steps:
(1) setting target parameters: load received power P of wireless charging systemLSystem efficiency eta, and transmitting end rectification inversion efficiency eta1Secondary coil rectification and DC-DC efficiency eta3System working frequency f and transmission distance d between magnetic coupling mechanisms;
(2) calculating the minimum efficiency eta required to be met by the resonator according to the design requirement2；
(3) Establishing an LCC-S equivalent circuit based on a mutual inductance equivalent model, and analyzing to obtain constraint relations between circuit parameters and current, input power, output power and efficiency of each branch circuit;
(4) designing parameters of a magnetic coupling mechanism under a long-distance transmission condition to obtain better self-inductance and mutual-inductance parameters of the magnetic coupling mechanism;
(5) designing primary side compensation inductance (capacitance) parameters, and calculating to obtain the output current of the inverter power supply and the current of a receiving and transmitting coil;
(6) calculating compensation inductance loss, eddy current loss, magnetic hysteresis loss and capacitance loss;
(7) calculating the efficiency of the resonator and comparing the efficiency with a target set value, wherein if the designed efficiency of the resonator is more than or equal to the target set efficiency, the designed parameter value meets the target parameter setting requirement; and (4) if the resonator efficiency obtained by design is less than the target set efficiency, returning to the step (4) to redesign the parameters.
2. The LCC-S topology parameter design method of claim 1, wherein: calculating the minimum efficiency eta required to be met by the resonator according to the design requirement in the step (2)2The specific method comprises the following steps:
according to the rectification and inversion efficiency eta of the transmitting terminal1Secondary coil rectification and DC-DC efficiency eta3And the required wireless charging system efficiency requirement eta calculates the minimum efficiency eta that the resonator needs to achieve2The calculation formula is as follows:
Figure FDA0002539936680000011
3. the LCC-S topology parameter design method of claim 1, wherein: the specific method for establishing the LCC-S equivalent circuit based on the mutual inductance equivalent model and analyzing and obtaining the constraint relation among the circuit parameters, the current of each branch, the input power, the output power and the efficiency in the step (3) is as follows:
in order to make the primary and secondary coils all in resonance state, then:
Figure FDA0002539936680000012
from the KVL equation:
Figure FDA0002539936680000013
Figure FDA0002539936680000021
solving to obtain:
Figure FDA0002539936680000022
thus, the solution yields the primary input power PinLoad received power PLAnd the system efficiency η is respectively:
Figure FDA0002539936680000023
Figure FDA0002539936680000024
Figure FDA0002539936680000025
in formulae (2) to (8), ZfIs the impedance of the branch in which the input power is located, Z1And Z2The impedance of the branch where the primary coil and the secondary coil are respectively located; u is the input voltage of the resonance compensation network; l isP、LSSelf-inductance of primary and secondary coils, respectively, LfCompensating the inductance for the primary side; cP、CfA primary coil resonance compensation capacitor and a primary compensation capacitor, CSFor compensating for resonance of secondary windingC, holding; m is the mutual inductance of the magnetic coupling mechanism; rP、RS、RfThe internal resistances of the primary coil, the secondary coil and the compensation inductor are respectively; rLIs a load resistor; omega is angular frequency, I is power supply input current, I1And I2Current flowing through the primary coil and the secondary coil, respectively; j is an imaginary number.
4. The LCC-S topology parameter design method of claim 1, wherein: the specific method for designing the parameters of the magnetic coupling mechanism under the long-distance transmission condition to obtain the optimal self-inductance and mutual inductance parameters of the magnetic coupling mechanism in the step (4) is as follows: according to the working frequency and transmission distance of the system, parameter requirements are set, an electromagnetic simulation model of the wireless charging system magnetic coupling mechanism under the remote transmission condition is established in ANSYS, the established simulation model comprises a coil and a ferrite, self-inductance and mutual inductance values of different magnetic coupling mechanism sizes and turns are obtained through simulation in a parameter scanning mode, and then the relation between the efficiency increment and the mutual inductance increment is obtained through combining efficiency calculation formulas in formulas (6) to (8), so that better self-inductance and mutual inductance parameter values of the magnetic coupling mechanism are obtained through preferential selection.
5. The LCC-S topology parameter design method of claim 1, wherein: designing the primary side compensation inductance parameter L in the step (5)fThe specific method comprises the following steps: analysis of L according to the calculation formulas in formulas (6) to (8)fThe influence of parameter selection on system efficiency and output power is obtained on the basis of ensuring load receiving power and lowest compensation inductance loss to obtain the optimal primary side compensation inductance value.
6. The LCC-S topology parameter design method of claim 1, wherein: the specific method for calculating and compensating the inductance loss, the eddy current loss, the hysteresis loss and the capacitance loss in the step (6) is as follows:
calculating according to the designed LCC-S parameter and the formula (5) to obtain the calculation formula of each branch current according to Pf＝I2RfObtaining compensation inductance loss, wherein the internal resistance of the compensation inductance is estimated by adopting a laboratory measurement method or a method communicated with a manufacturer, and eddy current loss and hysteresis loss in the magnetic coupling mechanism and the compensation inductance are obtained by ANSYS simulation; the capacitance loss is calculated by the following formula:
Figure FDA0002539936680000031
Figure FDA0002539936680000032
wherein, PfCompensating for losses of inductance, W, on the primary sidecIs the loss power of the capacitor, P is the active power of the capacitor, Q is the reactive power of the capacitor, tan σ is the loss tangent angle of the capacitor, f is the operating frequency of the circuit, UCIs the voltage across the capacitor, and C is the capacitance of the capacitor.
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CN111697711B (en) * 2020-06-17 2022-02-11 中国电力科学研究院有限公司 Method, circuit and system for eliminating cross coupling coefficient of multi-transmitting-multi-picking-multi-load IPT system
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CN112926239A (en) * 2021-02-01 2021-06-08 西安交通大学 Wireless power transmission system parameter design method based on LCC-S topology
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