CN112928826B - Design method of wireless power transmission system with broadband rectification output - Google Patents
Design method of wireless power transmission system with broadband rectification output Download PDFInfo
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- 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
- H02J50/12—Circuit arrangements or systems for wireless supply or distribution of electric power using inductive coupling of the resonant type
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Abstract
The invention discloses a design method of a broadband rectification output wireless power transmission system, which comprises an excitation source, an electromagnetic transmitting end, an electromagnetic receiving end and a load. The electromagnetic transmitting end comprises a transmitting end circuit topological structure and a transmitting coil, and the electromagnetic receiving end comprises a receiving coil, a broadband structure and a receiving side rectifying unit. The invention also discloses a design method of the broadband rectification output wireless power transmission system, which comprises the following steps: establishing a circuit equation of a system, (2) solving an amplitude-frequency curve equation of the system, and (3) determining the selection of the broadband structure element. The design method of the wireless power transmission system with the broadband rectification output solves the problem that the transmission frequency band of the wireless power transmission system is narrow, increases the frequency band width and optimizes the wireless power transmission system.
Description
Technical Field
The invention belongs to the technical field of wireless power transmission, and particularly relates to a design method of a wireless power transmission system with broadband rectification output.
Background
Wireless Power Transfer (WPT) is an emerging technology that enables contactless transfer of power levels from microwave to kilowatts. Wireless power transfer means that power from a transmitting end is transferred to a receiving end without mechanical contact. WPT technology utilizes time-varying electromagnetic fields to power electronic devices through magnetic or electric field coupling. WPT technology has attracted much research interest because it can conveniently provide power without using a power cord while maintaining the same performance as plug-in charging. Nowadays, wireless power transmission methods are more and more concerned by the international research community. The wireless energy transmission technology based on magnetic coupling resonance breaks through the traditional thought that the transmission efficiency of an electromagnetic induction mode depends on the coupling coefficient, and brings breakthrough to the wireless energy transmission technology. The system realizes high-efficiency and large-distance energy transmission by means of coil magnetic coupling resonance strong coupling and does not depend on the coupling coefficient between the sending coil and the receiving coil. Applications of which benefit significantly include power supplies for biomedical implants, consumer electronics, robots, drones, and electric vehicles.
Disclosure of Invention
At present, the transmission bandwidth in a wireless power transmission system is limited, and the technical problem to be solved by the invention is to provide a design method of a wireless power transmission system with broadband rectification output, which effectively solves the problem of limited transmission bandwidth of the wireless power transmission system.
The invention is realized by the following technical scheme: a design method of a wireless power transmission system with broadband rectification output is characterized in that: the wireless electric energy transmission system consists of an excitation source, an electromagnetic transmitting end, an electromagnetic receiving end and a load, wherein the electromagnetic transmitting end comprises a transmitting end circuit topological structure and a transmitting coil which are mutually connected in series and used for converting electric energy provided by the excitation source into magnetic energy to be transmitted to the electromagnetic receiving end;
the broadband structure is composed of two anti-series diodes D, and the equivalent capacitance of the broadband structure is C 2 The circuit design method for the broadband structure is shown as follows:
the method comprises the following steps: establishing a circuit equation of the system, and enabling the electromagnetic transmitting end to be equivalent to the electromagnetic receiving end to obtain an excitation source V of an equivalent circuit th An equivalent inductor L and an equivalent resistor R, and a voltage V at two ends of the rectifying circuit d Expressed, according to kirchhoff's voltage law, the system circuit equation can be expressed as:
LQ″+RQ′+v c +V d =V th cos(ωt)
wherein
Wherein Q is equivalent capacitance C 2 Q 'is the second derivative of the charge, Q' is the first derivative of the charge, v c Is an equivalent capacitance C 2 The voltage at both ends, the resonant frequency and the excitation frequency are the same, and the excitation frequency is omega, k 1 And k 3 First and third order coefficients, respectively, of a charge quantity Q, Q being expressed as a cosine function and having an amplitude Q, i.e. Q = qcos (ω t), v c Substituting the expression into a system circuit equation to obtain a refined system circuit equation:
step two: solving the amplitude-frequency curve equation of the system, and dividing v c Is further equivalent toNamely, it isAndequivalently, and again because Q = qcos (ω t), the following equation can be derived:
by solving the above equation, theV is to be c Substituting the expression (c) into the refined system circuit equation in step one, the vector form of the refined system circuit equation being expressed as:
expanding the above formula to obtain:
taking the square of the two sides of the above formula, and dividing k eff Substituting the expression to obtain the following amplitude-frequency curve equation:
the equivalent rear inductance L, the equivalent rear resistances R and V can be obtained by the above formula th And V d At fixed, amplitudes q and k 1 、k 3 K is determined according to the amplitude-frequency curve equation when the amplitude q takes the maximum value 1 And k 3 The method comprises the following steps:
firstly, let k 3 Seen as a constant, k 1 For unknowns, the above equation is applied to k on both sides 1 By taking the derivative and making the derivative equal to zero, it is obtained that k is the maximum value of the amplitude q 1 Taking the value of (A);
then, k is added 1 Viewed as a constant, k 3 For unknown numbers, the two sides of the above-mentioned amplitude-frequency curve equation are respectively paired with k 3 By taking the derivative and making the derivative equal to zero, it is obtained that k is the maximum value of the amplitude q 3 Taking the value of (A);
finally, k is obtained by the two steps 1 And k 3 A value of (d);
step three: determining k from the anti-series diode structure 1 And k 3 Voltage V of junction with diode j And junction capacitance C j And a relation of a grading factor n, thereby determining the selection of the diode;
the C-V curve relationship of one diode is as follows:
in the formula, C j Is junction capacitance, V r For reverse bias voltage, V j Is junction voltage, C p For small quantities to be negligible, the above equation can be expressed in terms of a maculing expansion as:
the first three orders of the above equation can be expressed as:
a 0 =C s (0)=C j
in the formula, n is a grading coefficient, and the grading coefficients n of equivalent capacitors formed by different anti-series diodes are different and are slightly higher than the third order, so that C (v) approximately equal to a 0 +a 1 v+a 2 v 2 Wherein v is the voltage across the diode;
according to the above formulas, two diodes are connected in anti-series to obtain:
C(v 1 )=a 0 -a 1 v 1 +a 2 v 1 2
C(v 2 )=a 0 +a 1 v 2 +a 2 v 2 2
in the formula, v 1 And v 2 The voltages at two ends of the two diodes are respectively used for solving the charge quantity of the two diodes, and the following steps are carried out:
let q be identical, assuming that the two diodes are identical 1 (v 1 )=q 2 (v 2 ) = Q, obtaining v by inversion of the series 1 And v 2 The expression of (a) is:
v is to be 1 And v 2 Adding to obtain:
in the formula, v c Equivalent capacitor C formed by anti-series diode 2 Voltage at two ends;
and because:
a 0 =C s (0)=C j
the following can be obtained:
k determined by step two 1 And k 3 The value of can obtain the junction voltage V j Junction capacitor C j And a grading factor n, determining the diode selection.
The invention has the beneficial effects that: the invention provides a design method of a wireless power transmission system with broadband rectification output, which can improve transmission bandwidth and simultaneously rectify output.
Drawings
FIG. 1 is a schematic diagram of a wireless power system of the present invention;
FIG. 2 is a block diagram of an equivalent capacitor formed by anti-series diodes;
fig. 3 is a graph comparing an amplitude-frequency curve of a conventional wireless power transmission system with an amplitude-frequency curve of the present invention.
In the figure: 1-excitation source, 2-electromagnetic transmitting end, 3-electromagnetic receiving end, 4-load, 5-transmitting side circuit topological structure, 6-transmitting coil, 7-receiving coil, 8-broadband structure and 9-receiving side rectifying unit.
Detailed Description
In order to make the content and advantages of the technical solution of the present invention clearer, the following will explain in detail a design method of a broadband rectified output wireless power transmission system of the present invention with reference to the accompanying drawings.
As shown in fig. 1, the wireless power transmission system is composed of an excitation source 1, an electromagnetic transmitting end 2, an electromagnetic receiving end 3 and a load 4, wherein the electromagnetic transmitting end 2 includes a transmitting end circuit topology 5 and a transmitting coil 6, and the transmitting side circuit topology includes a compensation capacitor and a resistor; the electromagnetic receiving end 3 includes a receiving coil 7, a broadband structure 8, and a receiving-side rectifying unit 9. The excitation source 1 is connected with the electromagnetic emission end 2 in series; the transmitting end circuit topology 5 is connected in series with the transmitting coil 6; the electromagnetic transmitting end 2 converts the electric energy provided by the excitation source 1 into magnetic energy and transmits the magnetic energy to the electromagnetic receiving end 3; a receiving coil 7 in the electromagnetic receiving end 3 receives the magnetic energy transmitted by the transmitting coil 6 and supplies power to the load 4; the receiving coil 7 is connected in series with the broadband structure 8 and the receiving-side rectifying unit 9, and finally connected in series with the load 4.
As shown in FIG. 2, the broadband structure is composed of two anti-series diodes D, and its equivalent capacitance is C 2 The circuit design method for the broadband structure is as follows:
the method comprises the following steps: and establishing a circuit equation of the system. The transmitting end is equivalent to the receiving end, and an excitation source V of an equivalent circuit can be obtained th The equivalent inductor L and the equivalent resistor R. V for voltage at two ends of rectifying circuit d And (4) showing. According to kirchhoff's voltage law, the system circuit equation can be expressed as:
LQ″+RQ′+v c +V d =V th cos(ωt)
wherein
Wherein Q is an equivalent capacitance C 2 Q 'is the second derivative of the charge, Q' is the first derivative of the charge, v c Is an equivalent capacitance C 2 The voltage at both ends, the resonance frequency and the excitation frequency are the same, and the excitation frequency is omega, k 1 And k 3 The first and third order coefficients of charge Q, respectively. Q can be expressed as a cosine function with amplitude Q, i.e. Q = qcos (ω t). V is to be c Substituting the expression into a system circuit equation to obtain a refined system circuit equation:
step two: and solving an amplitude-frequency curve equation of the system. V is to be c Is further equivalent toNamely, it isAndequivalently, and again because Q = Q cos (ω t), the following equation is available:
by solving the above equation, theV is to be c Substituting into the refined system circuit equation in step one, the vector form of the refined system circuit equation can be expressed as:
expanding the above formula to obtain:
taking the square of the two sides of the above formula, and dividing k eff Substituting the expression of (a) into (b) to obtain the following amplitude-frequency curve equation:
the equivalent rear inductance L, the equivalent rear resistances R and V can be obtained by the above formula th And V d At fixed, amplitudes q and k 1 、k 3 Is related to the size of the cell. According to the amplitude-frequency curve equation, k is obtained when the amplitude q takes the maximum value 1 And k 3 The method comprises the following steps:
firstly, let k 3 Viewed as a constant, k 1 For unknown numbers, the two sides of the above-mentioned amplitude-frequency curve equation are respectively paired with k 1 By taking the derivative and making the derivative equal to zero, it is obtained that k is the maximum value of the amplitude q 1 The value of (a).
Then, k is put 1 Viewed as a constant, k 3 For unknown numbers, the two sides of the above-mentioned amplitude-frequency curve equation are respectively paired with k 3 By taking the derivative and making the derivative equal to zero, it is obtained that k is the maximum value of the amplitude q 3 The value of (a).
Finally, k is obtained by the two steps 1 And k 3 The value of (c).
Step three: determining k from the anti-series diode structure 1 And k 3 Voltage V of junction with diode j And junction capacitance C j And the relation of the grading coefficient n, thereby determining the selection of the diode.
The C-V curve relationship of one diode is as follows:
in the formula, C j Is junction capacitance, V r For reverse bias voltage, V j Is junction voltage, C p Negligible for very small amounts. The above equation can be expressed in a maculing expansion as:
the first three orders of the above equation can be expressed as:
a 0 =C s (0)=C j
in the formula, n is a grading coefficient, and the grading coefficients n of equivalent capacitors formed by different anti-series diodes are different. Neglecting the order more than three times, C (v) is approximately equal to a 0 +a 1 v+a 2 v 2 . Where v is the voltage across the diode.
According to the above formulas, two diodes are connected in anti-series to obtain:
C(v 1 )=a 0 -a 1 v 1 +a 2 v 1 2
C(v 2 )=a 0 +a 1 v 2 +a 2 v 2 2
in the formula, v 1 And v 2 Respectively the voltages across the two diodes. The charge amount is obtained by calculating the charge amount of the two diodes:
let q be identical, assuming that the two diodes are identical 1 (v 1 )=q 2 (v 2 ) = Q, obtaining v by inversion of the series 1 And v 2 The expression of (a) is:
v is to be 1 And v 2 Adding to obtain:
in the formula, v c Equivalent capacitor C formed by anti-series diode 2 The voltage across.
and because:
a 0 =C s (0)=C j
the following can be obtained:
k determined by step two 1 And k 3 The value of can obtain the junction voltage V j Junction capacitor C j And a grading factor n, determining the diode selection.
As shown in fig. 3, the transmission bandwidth of the present invention is increased by comparing the amplitude-frequency curve of the conventional wireless power transmission system with the amplitude-frequency curve of the present invention.
The above description is only for the purpose of illustrating the preferred embodiments of the present invention and should not be taken as limiting the scope of the present invention, which is intended to cover any modifications, equivalents, improvements, etc. within the spirit and scope of the present invention.
Claims (1)
1. A design method of a wireless power transmission system with broadband rectification output is characterized in that: the wireless electric energy transmission system comprises an excitation source, an electromagnetic transmitting end, an electromagnetic receiving end and a load, wherein the electromagnetic transmitting end comprises a transmitting end circuit topological structure and a transmitting coil which are connected in series, the transmitting end circuit topological structure and the transmitting coil are used for converting electric energy provided by the excitation source into magnetic energy and transmitting the magnetic energy to the electromagnetic receiving end, the electromagnetic receiving end comprises a receiving coil, a broadband structure and a receiving side rectifying unit which are connected in series, the receiving coil is used for receiving the magnetic energy transmitted by the transmitting coil and supplying power to the load, and the transmitting side circuit topological structure comprises a compensation capacitor and a resistor;
the broadband structure is composed of two anti-series diodes D, and the equivalent capacitance of the broadband structure is C 2 The circuit design method for the broadband structure is shown as follows:
the method comprises the following steps: establishing a circuit equation of the system, and enabling the electromagnetic transmitting end to be equivalent to the electromagnetic receiving end to obtain an excitation source V of an equivalent circuit th An equivalent inductor L and an equivalent resistor R, and a voltage V at two ends of the rectifying circuit d Expressed, according to kirchhoff's voltage law, the system circuit equation is expressed as:
LQ”+RQ'+v c +V d =V th cos(ωt)
wherein
Wherein Q is equivalent capacitance C 2 Q 'is the second derivative of the charge, Q' is the first derivative of the charge, v c Is an equivalent capacitance C 2 The voltage at two ends, the resonance frequency and the excitation frequency are the same, and the excitation frequency is omega, k 1 And k 3 First and third order coefficients, respectively, of a charge quantity Q, Q being expressed as a cosine function, with an amplitude Q, i.e. Q = qcos (ω t), v c Substituting the expression into a system circuit equation to obtain a refined system circuit equation:
step two: solving the amplitude-frequency curve equation of the system, and calculating v c Further equivalent toNamely, it isAndequivalently, and again because Q = qcos (ω t), the following equation is obtained:
solving the above equation to obtainV is to be c Is substituted into the refined system circuit equation in step one, the vector form of the refined system circuit equation being expressed as:
Expanding the above formula to obtain:
taking the square of the two sides of the above formula, and dividing k eff Substituting the expression to obtain the following amplitude-frequency curve equation:
obtaining the equivalent rear inductance L, the equivalent rear resistances R and V from the above formula th And V d At fixed, amplitudes q and k 1 、k 3 K is determined according to the amplitude-frequency curve equation when the amplitude q takes the maximum value 1 And k 3 The method comprises the following steps:
firstly, let k 3 Viewed as a constant, k 1 For unknowns, the above equation is applied to k on both sides 1 Taking the derivative and making the derivative equal to zero, to obtain k when the amplitude q takes the maximum value 1 Taking the value of (A);
then, k is added 1 Viewed as a constant, k 3 For unknown numbers, the two sides of the above-mentioned amplitude-frequency curve equation are respectively paired with k 3 Taking the derivative and making the derivative equal to zero to obtain k when the amplitude q takes the maximum value 3 Taking the value of (A);
finally, k is obtained by the two steps 1 And k 3 A value of (d);
step three: determining k from the anti-series diode structure 1 And k 3 Voltage V of junction with diode j And junction capacitance C j And a relation of a grading coefficient n, thereby determining the selection of the diode;
the C-V curve relationship of one diode is as follows:
in the formula, C j Is junction capacitance, V r For reverse bias voltage, V j Is junction voltage, C p For small quantities to be negligible, the above equation is expressed in terms of a maculing expansion:
in the formula, C s n (0) Is the taylor formula of order n at 0;
the first three orders of the above formula are represented as:
a 0 =C s (0)=C j
in the formula, n is a grading coefficient, and grading coefficients n of equivalent capacitors formed by different anti-series diodes are different and are slightly higher than three orders, so that C (v) is approximately equal to a 0 +a 1 v+a 2 v 2 Wherein v is the voltage across the diode;
according to the above formulas, two diodes are connected in anti-series to obtain:
C(v 1 )=a 0 -a 1 v 1 +a 2 v 1 2
C(v 2 )=a 0 +a 1 v 2 +a 2 v 2 2
in the formula, v 1 And v 2 Respectively, the voltages across the two diodes, for twoThe diode calculates the charge quantity to obtain:
let q be identical, assuming that the two diodes are identical 1 (v 1 )=q 2 (v 2 ) = Q, obtaining v by inversion of the series 1 And v 2 The expression of (c) is:
v is to be 1 And v 2 Adding to obtain:
in the formula, v c Equivalent capacitor C formed by anti-series diode 2 Voltage at two ends;
and because:
a 0 =C s (0)=C j
obtaining:
k determined by step two 1 And k 3 The value of (A) is obtained to obtain a junction voltage V j Junction capacitor C j And a grading factor n, determining the diode selection.
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