CN109560617A - Any higher order resonances circuit realizes the universal model and modeling method of the output input characteristics unrelated with load - Google Patents
Any higher order resonances circuit realizes the universal model and modeling method of the output input characteristics unrelated with load 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 present invention provides the universal model and modeling method of a kind of output and input characteristics that any higher order resonances circuit realization is unrelated with load；By part of parallel reactance equivalent parallel connection at two equivalent reactances respectively, the equivalent series connection at two equivalent reactances of sections in series reactance, the universal model being sequentially connected in series to higher order resonances circuit equivalent at several grades of reverse L C circuits and the positive lc circuit of several grades, as constant current output and the pure resistance input characteristics universal model unrelated with load and constant voltage output and the pure resistance input characteristics universal model unrelated with load, to which compensation topology any in regular Simplified analysis inductively radio energy transmission system realizes the constant current and constant voltage output unrelated with load and the zero phase angle input characteristics unrelated with load.
Description
Technical field
The invention belongs to wireless power transmission technical fields, and in particular to a kind of any higher order resonances circuit is realized and load
The universal model and modeling method of unrelated output input characteristics.
Background technique
Electric car is a kind of approach that can effectively solve the problem that fossil energy crisis and environmental pollution caused by fuel vehicle, but
Be due to its battery energy density is low, the charging time is long and it is at high cost the deficiencies of seriously constrain the industrialization of electric car.Sense
Should couple wireless power transmission technology for electric car presently, there are many bottlenecks provide and a kind of effectively and reliable solve
Scheme.
Reasonable constant current and constant voltage charging method can effectively extend the service life of batteries of electric automobile, and zero phase angle input is special
Voltammetric capacity needed for performance reduction system, device current, voltage stress and switching loss.For electric car wireless charging system
Realize that the common method of above-mentioned characteristic is to add DC/DC converter at energy acceptance end in system, control system realizes constant current or perseverance
Pressure output；Realize that the zero phase angle unrelated with load inputs by frequency control at energy transmitting end.But DC/DC converter is undoubtedly
Increase number of devices, corresponding cost and loss, frequency control is as frequency bifurcation causes system unstable.For letter
Change control, only analyzed from circuit topological structure, it is found that all topological structures are higher order resonances electricity in wireless charging system
Road is able to achieve the constant current or constant voltage output characteristic and zero phase angle input unrelated with load by designing reasonable condition of resonance
Characteristic.But resonance circuit is many kinds of in wireless charging system, especially for the higher-orders such as LCC-S, bilateral LCC resonance electricity
It is the analysis method disunity of road, constant current and constant voltage output characteristic and zero phase angle input characteristics, irregular and more complex.
Summary of the invention
The technical problem to be solved by the present invention is providing a kind of output that any higher order resonances circuit realization is unrelated with load
The universal model and modeling method of input characteristics.
The technical solution taken by the invention to solve the above technical problem are as follows: XS1、XS2、……、XS(m-1)And XSmTo appoint
The series reactance of meaning higher order resonances circuit, XP1、XP2、……、XP(m-2)And XP(m-1)For the parallel reactance of resonance circuit；Subscript S and
P respectively indicates reactance series connection and parallel connection, and subscript m indicates resonance circuit series reactance quantity and m is positive integer；
By parallel reactance XPaIt is equivalent at XPaCRAnd XPaCNParallel connection, wherein subscript a ∈ { 1,2 ... (m-2) }；Series reactance
XSbIt is equivalent at XSbCNAnd XSbCRSeries connection, wherein subscript b ∈ { 2,3 ... (m-1) }；To the higher order resonances circuit equivalent
The universal model being sequentially connected in series at (m-1) grade reverse L C circuit and the positive lc circuit of (m-2) grade, as constant current output and unrelated with load
Pure resistance input characteristics universal model；
By parallel reactance XPxIt is equivalent at XPxVRAnd XPxVNParallel connection, wherein subscript x ∈ { 1,2 ... (m-1) }；Series reactance
XSyIt is equivalent at XSyVNAnd XSyVRSeries connection, wherein subscript y ∈ { 2,3 ... (m-1) }；To the higher order resonances circuit equivalent
The universal model being sequentially connected in series at (m-1) grade reverse L C circuit and the positive lc circuit of (m-1) grade, as constant voltage output and unrelated with load
Pure resistance input characteristics universal model.
According to the above scheme, in constant current output and the pure resistance input characteristics universal model unrelated with load, equivalent variable is indicated
Are as follows:
According to the above scheme, in the constant current output and the pure resistance input characteristics universal model unrelated with load, work as circuit
When reactance value meets formula (1) relationship, resonance circuit realizes constant current output；When circuit reactance value meets formula (1) and (2) simultaneously
When relationship, resonance circuit realizes constant current output characteristic and the input impedance pure resistance characteristic unrelated with load；
According to the above scheme, in constant voltage output and the pure resistance input characteristics universal model unrelated with load, equivalent variable is indicated
Are as follows:
According to the above scheme, in the constant voltage output and the pure resistance input characteristics universal model unrelated with load, work as circuit
When reactance value meets formula (3) relationship, resonance circuit realizes constant voltage output；When circuit reactance value meets formula (3) and (4) simultaneously
When relationship, resonance circuit realizes constant voltage output characteristic and the input impedance pure resistance characteristic unrelated with load；
Any higher order resonances circuit realizes the modeling side of the universal model of the output input characteristics unrelated with load
Method, it is characterised in that: the following steps are included:
By parallel reactance XPaIt is equivalent at XPaCRAnd XPaCNParallel connection, wherein a ∈ { 1,2 ... (m-2) }, series reactance XSbDeng
Imitate into XSbCNAnd XSbCRSeries connection, wherein b ∈ { 2,3 ... (m-1) }, so that higher order resonances circuit equivalent is at (m-1) grade reverse L C electricity
The universal model that road and the positive lc circuit of (m-2) grade are sequentially connected in series, as constant current output and the pure resistance input characteristics unrelated with load
Universal model；
By parallel reactance XPxIt is equivalent at XPxVRAnd XPxVNParallel connection, wherein x ∈ { 1,2 ... (m-1) }；Series reactance XSyDeng
Imitate into XSyVNAnd XSyVRSeries connection, wherein y ∈ { 2,3 ... (m-1) }, so that higher order resonances circuit equivalent is at (m-1) grade reverse L C electricity
The universal model that road and the positive lc circuit of (m-1) grade are sequentially connected in series, as constant voltage output and the pure resistance input characteristics unrelated with load
Universal model.
According to the above method, in constant current output and the pure resistance input characteristics universal model unrelated with load, equivalent variable is indicated
Are as follows:
When circuit reactance value meets formula (1) relationship, resonance circuit realizes constant current output；When circuit reactance value is full simultaneously
When sufficient formula (1) and (2) relationship, resonance circuit realizes constant current output characteristic and the input impedance pure resistance characteristic unrelated with load；
According to the above method, in constant voltage output and the pure resistance input characteristics universal model unrelated with load, equivalent variable is indicated
Are as follows:
When circuit reactance value meets formula (3) relationship, resonance circuit realizes constant voltage output；When circuit reactance value is full simultaneously
When sufficient formula (3) and (4) relationship, resonance circuit realizes constant voltage output characteristic and the input impedance pure resistance characteristic unrelated with load；
According to the above method, this method further include: when the impedance value of all circuit impedances meet formula (1), (2), (3) and
(4) when relationship, higher order resonances circuit realizes constant current output characteristic and the input impedance pure resistance characteristic unrelated with load, Yi Jiheng
Press output characteristics and the input impedance pure resistance characteristic unrelated with load；
The invention has the benefit that using universal model and its modeling method of the invention, it being capable of regular simplification
Analysis inductively in radio energy transmission system any compensation topology realize the constant current and constant voltage output unrelated with load and
The zero phase angle input characteristics unrelated with load.
Detailed description of the invention
Fig. 1 is reverse L C resonance circuit figure.
Fig. 2 is positive LC resonance circuit diagram.
Fig. 3 is any high-order rank resonance circuit figure.
Fig. 4 is that higher order resonances circuit realizes constant current output equivalent circuit diagram.
Fig. 5 is that higher order resonances circuit realizes constant voltage output equivalent circuit diagram.
Fig. 6 is T circuit diagram.
Fig. 7 is the equivalent circuit diagram that T-type circuit realizes constant voltage output.
Specific embodiment
Below with reference to specific example and attached drawing, the present invention will be further described.
The analysis of the constant current of basic LC resonance circuit and constant voltage output characteristic:
Basic LC resonance circuit is as depicted in figs. 1 and 2, wherein Fig. 1 shows reverse L C resonance circuit (Reversed LC-
Circuit), Fig. 2 indicates positive LC resonance circuit (Normal LC-circuit).U in figureinAnd IinRespectively resonance circuit inputs
Voltage and current vector, ZinRAnd ZinNRespectively reverse L C and positive lc circuit input impedance, X1RAnd X2RRespectively indicate reverse L C circuit electricity
Anti- component, X1NAnd X2NBe positive lc circuit reactive component, RLFor load resistance, IoRAnd UoN(IoRAnd IoN) indicate anti-and positive lc circuit
Output voltage (electric current) vector.
The relationship of output voltage and input current in the relationship and Fig. 2 of electric current and input voltage is exported in Fig. 1 to be indicated
For,
And anti-and positive lc circuit input impedance is,
Work as X1R+X2R=0 and X1N+X2NWhen=0, the output electric current I of reverse L C circuitoRWith the output voltage I of positive lc circuitoNWith
Load RLIt is unrelated, and can simplify respectively are as follows:
UoN=jX2N·Iin(positive lc circuit)
Therefore, voltage source can be converted into the constant-current source output unrelated with load by reverse L C circuit, and positive lc circuit can be by electric current
Source is converted to the constant pressure source output unrelated with load.
In addition, working as X when meeting1R+X2R=0 and X1N+X2N=0, anti-and positive LC resonance circuit input impedance can simplify are as follows:
Any higher order resonances circuit realizes the analysis method of the output and input characteristics unrelated with load:
Fig. 3 is any higher order resonances circuit, wherein XS1、XS2、……、XS(m-1)And XSmFor the string of any higher order resonances circuit
Join reactance, XP1、XP2、……、XP(m-2)And XP(m-1)For the parallel reactance of resonance circuit, subscript S or P respectively indicate reactance series connection
Or it is in parallel, subscript m indicates resonance circuit series reactance quantity and m is positive integer；By parallel reactance XPaIt is equivalent at XPaCRAnd XPaCN
Parallel connection, wherein subscript a ∈ { 1,2 ... (m-2) }；Series reactance XSbIt is equivalent at XSbCNAnd XSbCRSeries connection, wherein subscript b ∈
{ 2,3 ... (m-1) }；To which higher order resonances circuit equivalent described in Fig. 3 is at (m-1) grade reverse L C circuit and (m- as shown in Figure 4
2) universal model that the positive lc circuit of grade is sequentially connected in series,
According to the above-mentioned analysis for realizing electric current and the voltage output characteristics unrelated with load respectively for anti-and positive lc circuit,
In Fig. 4, when
Mutual conductance G in Fig. 4CCIt may be expressed as:
I in formulao-CCCurrent phasor is exported for Fig. 4.
Can be obtained from formula (5), when any higher order resonances circuit shown in Fig. 3 meets the condition of resonance of formula (1), mutual conductance with
It loads unrelated.Therefore, when input is constant pressure source, it can be achieved that constant current output.
Resonance circuit is under conditions of realizing the mutual conductance unrelated with load, namely meets under the condition of resonance of formula (1), when
Its input impedance is
It can be obtained from formula (6), when the condition for meeting formula (1) and (2), the input impedance of resonance circuit presents unrelated with load
Pure resistance characteristic, namely realize the zero phase angle input characteristics unrelated with load.
Similarly, by parallel reactance X in Fig. 3PxIt is equivalent at XPxVRAnd XPxVNParallel connection, wherein subscript x ∈ { 1,2 ... (m-
1)}；Series reactance XSyIt is equivalent at XSyVNAnd XSyVRSeries connection, wherein subscript y ∈ { 2,3 ... (m-1) }；To height described in Fig. 3
The equivalent Universal Die being sequentially connected in series at (m-1) grade reverse L C circuit and the positive lc circuit of (m-1) grade as shown in Figure 5 of rank resonance circuit
Type, equivalent variable indicate are as follows:
According to the above-mentioned analysis for realizing electric current and the voltage output characteristics unrelated with load respectively for anti-and positive lc circuit,
In Fig. 5, when
The voltage gain G of Fig. 5CVIt is represented by,
U in formulao-CVFor Fig. 5 output voltage vector.
It can be obtained from formula (7), when any higher order resonances circuit shown in Fig. 3 meets the condition of resonance of formula (3), voltage increases
Benefit is unrelated with load.Therefore, when input is constant pressure source, it can be achieved that constant voltage output.
Resonance circuit is under conditions of realizing the voltage gain unrelated with load, namely meets under the condition of resonance of formula (3),
When
Its input impedance is,
It can be obtained from formula (8), when the condition for meeting formula (3) and (4), the input impedance of resonance circuit presents unrelated with load
Pure resistance characteristic, namely realize the zero phase angle input characteristics unrelated with load.
It can be obtained from formula (5) and (6), when any Higher-Order Circuit shown in Fig. 3 meets the resonance item of formula (1) and (2) respectively
Part can realize the electric current output and voltage output unrelated with load respectively；It can show that any Higher-Order Circuit exists from formula (7) and (8)
It can be by the way that the condition as shown in formula (3) and (4) be respectively configured, it can be achieved that unrelated with load zero under constant current and constant voltage output mode
Phase angle input characteristics.
Following with universal model of the invention, regular Simplified analysis: 1) minimum of constant current and constant voltage output is realized
It resonant topology and 2) had both realized constant current and constant voltage output or can realize zero phase angle on the basis of constant current and constant voltage output
The minimum resonant circuit structure of input characteristics.
Both it had been able to achieve constant current or had been able to achieve the determination method of the minimum resonance circuit of constant voltage output characteristic:
Can be obtained according to the analysis of above-mentioned lc circuit: lc circuit can only realize constant current or constant voltage output, cannot both realize perseverance
Constant voltage output is also realized in stream output.
Fig. 6 is T-type circuit, ZinTIndicate T-type circuit input impedance, X1T、X2TAnd X3TRespectively indicate circuit reactance component, UoT
And IoTFor its output voltage and current phasor.
According to the above-mentioned research for realizing the current output characteristics unrelated with load for any Higher-Order Circuit, work as X1T+X2T=
0, T-type circuit output current is unrelated with load, and is represented by
And T-type circuit input impedance is at this time
It can be obtained from formula (10), work as X2T+X3TWhen=0, input impedance can be reduced to
G in formulaTC(GTC=IoT/Uin) it is the mutual conductance of T-type circuit, and T-type circuit input impedance can be obtained in purely resistive.
It is the cascade of level-one reverse L C circuit as shown in Figure 7 and the positive lc circuit of level-one, wherein X by T-type circuit equivalent2TDeng
Imitate into X2TV1And X2TV2Parallel connection, according to the analysis for being directed to Fig. 5, when meeting X1T+X2TV1=X2TV2+X3T=0, it can be achieved that with load
The relationship of unrelated constant voltage output, output voltage and input voltage is represented by
And input impedance is at this time
Formula (13), which is not present, makes T-type circuit input impedance be in the condition of purely resistive, therefore T-type circuit is in the base of constant voltage output
On plinth, the zero phase angle input characteristics unrelated with load can not achieve.
Similarly, according to the constant current and constant voltage output characteristic and zero unrelated with load for the realization of any higher order resonances circuit
The analysis of the analysis of phase angle input characteristics, pi-network input-output characteristic is as shown in Table I.
Table I
Pi-network realizes the research that outputs and inputs characteristic unrelated with load
Can be obtained according to the analysis of Table I: 1) T-type and pi-network are that the smallest to be both able to achieve the constant current unrelated with load defeated
It is also able to achieve the resonance circuit of the constant voltage output unrelated with load out；2) it is able to achieve and loads under T-type circuit constant current output mode
Unrelated zero phase angle input characteristics, but can not achieve the zero phase angle input unrelated with load under constant voltage output mode；3) π type electricity
It can not achieve the zero phase angle input characteristics unrelated with load under the constant current mode of road, but be able to achieve and bear under constant voltage output mode
Carry unrelated zero phase angle input.
Both it is able to achieve constant current and constant voltage output, it is defeated to be able to achieve the zero phase angle unrelated with load again under constant current and constant voltage mode
Enter the determination method of the minimum resonance circuit of characteristic:
Table II show the Minimal Realization electric current and voltage output characteristics unrelated with load and realizes unrelated with load
The analysis of the resonance circuit of zero phase angle input characteristics.
Table II
Realize the research of the minimum resonance topological that outputs and inputs characteristic unrelated with load
Above embodiments are merely to illustrate design philosophy and feature of the invention, and its object is to make technology in the art
Personnel can understand the content of the present invention and implement it accordingly, and protection scope of the present invention is not limited to the above embodiments.So it is all according to
It is within the scope of the present invention according to equivalent variations made by disclosed principle, mentality of designing or modification.
Claims (9)
1. the universal model that a kind of any higher order resonances circuit realizes the output input characteristics unrelated with load, it is characterised in that:
XS1、XS2、……、XS(m-1)And XSmFor the series reactance of any higher order resonances circuit, XP1、XP2、……、XP(m-2)And XP(m-1)For
The parallel reactance of resonance circuit；Subscript S and P respectively indicate reactance series connection and in parallel, subscript m expression resonance circuit series reactance number
Amount and m are positive integer；
By parallel reactance XPaIt is equivalent at XPaCRAnd XPaCNParallel connection, wherein subscript a ∈ { 1,2 ... (m-2) }；Series reactance XSbDeng
Imitate into XSbCNAnd XSbCRSeries connection, wherein subscript b ∈ { 2,3 ... (m-1) }；To which the higher order resonances circuit equivalent is at (m-
1) universal model that grade reverse L C circuit and the positive lc circuit of (m-2) grade are sequentially connected in series, as constant current output and unrelated with load pure
Hinder input characteristics universal model；
By parallel reactance XPxIt is equivalent at XPxVRAnd XPxVNParallel connection, wherein subscript y ∈ { 1,2 ... (m-1) }；Series reactance XSyDeng
Imitate into XSyVNAnd XSyVRSeries connection, wherein subscript y ∈ { 2,3 ... (m-1) }；To which the higher order resonances circuit equivalent is at (m-
1) universal model that grade reverse L C circuit and the positive lc circuit of (m-1) grade are sequentially connected in series, as constant voltage output and unrelated with load pure
Hinder input characteristics universal model.
2. the Universal Die that any higher order resonances circuit according to claim 1 realizes the output input characteristics unrelated with load
Type, it is characterised in that: in constant current output and the pure resistance input characteristics universal model unrelated with load, equivalent variable is indicated are as follows:
XSb=XSbCN+XSbCR。
3. the Universal Die that any higher order resonances circuit according to claim 2 realizes the output input characteristics unrelated with load
Type, it is characterised in that: in the constant current output and the pure resistance input characteristics universal model unrelated with load, when circuit reactance value
When meeting formula (1) relationship, resonance circuit realizes constant current output；When circuit reactance value meets formula (1) and (2) relationship simultaneously
When, resonance circuit realizes constant current output characteristic and the input impedance pure resistance characteristic unrelated with load；
4. the Universal Die that any higher order resonances circuit according to claim 1 realizes the output input characteristics unrelated with load
Type, it is characterised in that: in constant voltage output and the pure resistance input characteristics universal model unrelated with load, equivalent variable is indicated are as follows:
XSy=XSyVN+XSyVR。
5. the Universal Die that any higher order resonances circuit according to claim 4 realizes the output input characteristics unrelated with load
Type, it is characterised in that: in the constant voltage output and the pure resistance input characteristics universal model unrelated with load, when circuit reactance value
When meeting formula (3) relationship, resonance circuit realizes constant voltage output；When circuit reactance value meets formula (3) and (4) relationship simultaneously
When, resonance circuit realizes constant voltage output characteristic and the input impedance pure resistance characteristic unrelated with load；
6. any higher order resonances circuit described in claim 1 realizes the universal model of the output input characteristics unrelated with load
Modeling method, it is characterised in that: the following steps are included:
By parallel reactance XPaIt is equivalent at XPaCRAnd XPaCNParallel connection, wherein a ∈ { 1,2 ... (m-2) }, series reactance XSbIt is equivalent at
XSbCNAnd XSbCRSeries connection, wherein b ∈ { 2,3 ... (m-1) }, thus higher order resonances circuit equivalent at (m-1) grade reverse L C circuit and
(m-2) universal model that the positive lc circuit of grade is sequentially connected in series, it is general as constant current output and the pure resistance input characteristics unrelated with load
Model；
By parallel reactance XPxIt is equivalent at XPxVRAnd XPxVNParallel connection, wherein x ∈ { 1,2 ... (m-1) }；Series reactance XSyIt is equivalent at
XSyVNAnd XSyVRSeries connection, wherein y ∈ { 2,3 ... (m-1) }, thus higher order resonances circuit equivalent at (m-1) grade reverse L C circuit and
(m-1) universal model that the positive lc circuit of grade is sequentially connected in series, it is general as constant voltage output and the pure resistance input characteristics unrelated with load
Model.
7. modeling method according to claim 6, it is characterised in that: constant current output and the pure resistance unrelated with load input are special
Property universal model in, equivalent variable indicate are as follows:
XSb=XSbCN+XSbCR。
When the impedance value of circuit impedance meets formula (1) relationship, higher order resonances circuit realizes constant current output；When circuit impedance
When impedance value meets formula (1) and (2) relationship, resonance circuit realizes constant current output characteristic and pure unrelated with load of input impedance
Hinder characteristic；
8. modeling method according to claim 6, it is characterised in that: constant voltage output and the pure resistance unrelated with load input are special
In property universal model, the relationship between equivalent variable and parallel reactance are as follows:
XSy=XSyVN+XSyVR
When the impedance value of circuit impedance meets formula (3) relationship, higher order resonances circuit realizes constant voltage output；When circuit impedance
When impedance value meets formula (3) and (4) relationship, resonance circuit realizes constant voltage output characteristic and pure unrelated with load of input impedance
Hinder characteristic；
9. modeling method according to claim 6, it is characterised in that: this method further include: when higher order resonances circuit impedance
Impedance value when meeting formula (1), (2), (3) and (4) relationship, higher order resonances circuit realizes constant current output characteristic and input impedance
The pure resistance characteristic unrelated with load and constant voltage output characteristic and the input impedance pure resistance characteristic unrelated with load；
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| CN112165183A (en) * | 2020-10-26 | 2021-01-01 | 北京理工大学 | Parameter control method and system for constant-current and constant-voltage output of wireless charging system |
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