CN207368758U - No-voltage based on fractional order capacitance is source-series-tandem type radio energy transmission system - Google Patents

No-voltage based on fractional order capacitance is source-series-tandem type radio energy transmission system Download PDF

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CN207368758U
CN207368758U CN201721305268.1U CN201721305268U CN207368758U CN 207368758 U CN207368758 U CN 207368758U CN 201721305268 U CN201721305268 U CN 201721305268U CN 207368758 U CN207368758 U CN 207368758U
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mrow
msub
fractional order
capacitance
mfrac
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张波
韩冲
疏许健
江彦伟
陈艳峰
丘东元
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Guangzhou Qingdian Technology Co ltd
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South China University of Technology SCUT
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Abstract

The utility model discloses a kind of source-series tandem type radio energy transmission system of no-voltage based on fractional order capacitance, including the fractional order capacitance being connected and radiating circuit and the receiving circuit being connected and load, the radiating circuit and receiving circuit realize being wirelessly transferred for electric energy by way of electromagnetic induction coupling;The radiating circuit includes the primary side inductance being connected in series and radiating circuit internal resistance, the radiating circuit internal resistance refer to all positive resistances of radiating circuit in addition to secondary reflexes to the resistance of primary side;The receiving circuit includes secondary inductance, secondary capacitance and the receiving circuit internal resistance being connected in series, and the receiving circuit internal resistance refers to all positive resistances of receiving circuit including secondary capacitance internal resistance.The utility model not only makes system structure simpler, avoids high frequency, the technical barrier that high power switch converter is difficult to realize, and adds the free degree of system adjustment, makes parameter designing more flexible, is easy to optimize.

Description

No-voltage based on fractional order capacitance is source-series-tandem type radio energy transmission system
Technical field
The field of wireless power transmission or wireless power transmission technology is the utility model is related to, one kind is referred in particular to and is based on fractional order The no-voltage of capacitance is source-series-tandem type radio energy transmission system.
Background technology
Wireless power transmission technology can be realized to be electrically isolated completely between power supply and electrical equipment, have safety, can The advantages of leaning on, be flexible.Early at the end of the 19th century, Ni Gula teslas (Nikola Tesla) utilize wireless power transmission principle, A light bulb has been lighted in the case of no any conducting wire connection.Wireless power transmission based on magnet coupled resonant type is MIT The breakthrough that is obtained in wireless power transmission field of scholar, in wireless power transmission since being disclosed and delivering within 2007 Field causes very big repercussion, and more and more scholars are added to the basic research of wireless power transmission technology and application is opened Hair.
In current resonance type wireless electric energy transmission system, high frequency, highly reliable, large power supply realization are always should Technology is applied to an important problem of high power load transmission of electricity.Traditional radio energy transmission system is usually by driving source, hair Transmit-receive radio road, receiving circuit and load composition, wherein driving source determines systematic parameter and as the conversion and control of system power supply Part becomes most important part in wireless power transmission.In order to meet radio energy transmission system high frequency, efficient hair Exhibition trend, generally use switching mode driving source (power amplifier) such as D classes, E power-like amplifiers, although this power-like amplifier Theoretical efficiency reached 100%, but output power is relatively low, is only applicable to low power application scenario.It is and powerful at present The bridge-type inverter that application scenario is formed using IGBT and MOSFET pipes more, while coordinate different Sofe Switch algorithms to realize electricity Energy is wirelessly transferred, but its working frequency is low, transmission range is short.Therefore, by factors such as power switch pipe and circuit topological structures Restriction, under existing technical conditions, realize that high frequency (more than MHz), highly reliable, high power switch converter are also quite tired It is difficult.
Fractional calculus has had the history of more than 300 years, and the order of calculus is generalized to fraction very by it from integer rank To plural number.The concept of fractional order capacitance is by the concept of fractional calculus, fractional order different from traditional integer rank capacitance Capacitance includes two parameters of capacitance and exponent number, this make it that the design freedom of fractional order capacitance is more than integer rank capacitance, possesses one The property that a little conventional integer rank capacitances do not possess.For example fractional order capacitance has point of negative resistance in specific parameter area Amount.Therefore by the fractional order capacitance applications with negative resistance component in radio energy transmission system, can substitute conventional serial- High frequency power source in tandem type radio energy transmission system, realizes the energy supply to circuit, not only makes system structure simpler, Avoid high frequency, the technical barrier that high power switch converter is difficult to realize, and add the free degree of system adjustment, make ginseng Number design is more flexible, is easy to optimize.
The content of the invention
The purpose of the utility model is to overcome the deficiencies in the prior art, there is provided it is a kind of based on fractional order capacitance without electricity Potential source series connection-tandem type radio energy transmission system, not only makes system structure simpler, avoids high frequency, high power switch The technical barrier that converter is difficult to realize, and the free degree of system adjustment is added, make parameter designing more flexible, be easy to excellent Change.
To achieve the above object, technical solution provided by the utility model is:No-voltage source based on fractional order capacitance Series connection-tandem type radio energy transmission system, the radio energy transmission system include fractional order capacitance and the transmitting being connected Circuit and the receiving circuit being connected and load, the radiating circuit and receiving circuit are real by way of electromagnetic induction coupling Existing electric energy is wirelessly transferred;The radiating circuit includes primary side inductance and the radiating circuit internal resistance being connected in series, the transmitting electricity Road internal resistance refers to all positive resistances of radiating circuit in addition to secondary reflexes to the resistance of primary side;The receiving circuit includes series connection and connects Secondary inductance, secondary capacitance and the receiving circuit internal resistance connect, the receiving circuit internal resistance refer to including secondary capacitance internal resistance All positive resistances of receiving circuit;The radio energy transmission system is connected in radiating circuit using fractional order capacitance, is utilized Fractional order capacitance has the property of negative resistance component under special parameter, realizes the energy supply to circuit, while utilize fractional order electricity The capacitive component of appearance, realizes the series resonance with primary side inductance.
The voltage of the fractional order capacitance, current differential relation meet:Phase relation meets:Wherein, iCTo flow through the electric current of fractional order capacitance, vCFor the voltage at fractional order capacitance both ends, α is fractional order capacitance Exponent number, and 1 < α < 2, CαFor the capacitance of fractional order capacitance.
The negative resistance component and capacitive component of the fractional order capacitance be respectively:
In formula,It is negative resistance component for the real component of fractional order condensance, negative resistance hinders It is worth and isIt is capacitive component for the imaginary of fractional order condensance;
The parameter of the capacitive component of the fractional order capacitance and the series arm of primary side inductance needs the condition for meeting resonance:
Make fractional order capacitance that there is negative resistance component, the exponent number of fractional order capacitance also needs to meet:
1 < α < 2
Negative resistance component for providing from electric energy to system also needs to meet:
R≥RS1+RS2+RL
I.e.:
At this time, fractional order capacitance has negative resistance component, provides electric energy to load and Coil resistance, and work asWhen, the electric energy that negative resistance provides is completely by radiating circuit internal resistance, receiving circuit internal resistance And load absorption, RS1For radiating circuit internal resistance value, RS2For receiving circuit internal resistance value, RLTo load resistance value;
The secondary inductance, the parameter of capacitive series branch need the condition for meeting resonance:
The operation principle of the utility model is:The fractional order capacitance of primary circuit series connection is under the Parameter Conditions of 1 < α < 2 With negative resistance component, negative resistance has the property for outwards releasing energy, is whole series connection-tandem type radio energy transmission system Electric energy is provided, instead of the high frequency power source in conventional serial-tandem type radio energy transmission system.Meanwhile fractional order capacitance Capacitive component and primary side inductance series arm, radiating circuit internal resistance form RLC series resonant circuits, the series connection of secondary inductance capacitance Branch, receiving circuit internal resistance form RLC series resonant circuits.
The utility model compared with prior art, has the following advantages that and beneficial effect:
1st, system structure is simple, and fractional order capacitance can not only provide a system to electric energy, can also be realized with primary side inductance Series resonance.
2nd, there is negative resistance component under special parameter using fractional order capacitance, it is wireless substitutes traditional series connection-tandem type High frequency power source in electric energy transmission system, can effectively solve current high frequency, the skill that high power switch converter is difficult to realize Art problem.
3rd, system operating frequency is determined by components values in circuit.Under this working frequency, system can keep very high Efficiency, realize stable wireless power transmission.
Brief description of the drawings
Fig. 1 is the system circuit diagram provided in embodiment.
Fig. 2 is the voltage of embodiment mid-score rank capacitance and the oscillogram of electric current.
Fig. 3 is the graph of a relation of efficiency of transmission and transmission range in embodiment.
Embodiment
With reference to specific embodiment, the utility model is described in further detail.
The no-voltage based on fractional order capacitance that the present embodiment is provided is source-series-tandem type radio energy transmission system Basic principle is that have the spy for releasing energy, being provided out electric energy using negative resistance component of the fractional order capacitance under special parameter Property, for substituting the high frequency power source in traditional series connection-tandem type radio energy transmission system, so as to efficiently solve at present The technical barrier that high frequency, high power switch converter are difficult to realize, while utilize the capacitive component and primary side electricity of fractional order capacitance Series resonance is realized in sense.
As shown in Figure 1, be the specific implementation circuit of the system, including the fractional order capacitance C being connectedαWith radiating circuit with And the receiving circuit being connected and load RL, the radiating circuit and receiving circuit realize electricity by way of electromagnetic induction coupling Energy is wirelessly transferred, and radiating circuit includes the primary inductor L being connected in series1With radiating circuit internal resistance RS1, radiating circuit internal resistance RS1 Refer to all positive resistances of radiating circuit in addition to secondary reflexes to the resistance of primary side;Receiving circuit includes the secondary electricity being connected in series Feel L2, secondary capacitance C2With receiving circuit internal resistance RS2, receiving circuit internal resistance RS2Refer to the reception including secondary capacitance internal resistance All positive resistances of circuit.
For easy analysis, radiating circuit internal resistance R is madeS1With receiving circuit internal resistance RS2Parameter is consistent, and resistance value is all RS;Order is former Side inductance L1With secondary inductance L2Parameter is consistent, and inductance value is all L.
The resonant frequency for making system is ω, and when the negative resistance component of fractional order capacitance provides electric energy to system, its parameter expires Foot:
R≥2RS+RL (1)
I.e.:
In formula,For the real component of fractional order condensance, the i.e. negative resistance of fractional order capacitance point Amount, the resistance value of negative resistance areWhenWhen, the negative electricity of fractional order capacitance The electric energy of component offer is hindered completely by radiating circuit internal resistance, receiving circuit internal resistance and load absorption.
Capacitive component, primary side inductance series arm and secondary inductance, capacitive series branch when fractional order capacitance are all set For resonant condition when, its parameter meet:
Launch and the resonant frequency of receiving coil is:
In formula,For the imaginary of fractional order capacitance, i.e. capacitive component.
The coupling mode equations of system are:
In formula,For the resonant frequency of transmitting coil and receiving coil, For radiating circuit and the internal resistance loss factor of receiving circuit,Increase for the negative resistance of fractional order capacitance Beneficial coefficient,For load factor,The coefficient of coup between transmitting and receiving circuit,For transmitting Mutual Inductance Coupling coefficient between coil and receiving coil, mutual inductances of the M between primary side inductance and secondary inductance.
The eigenfrequency that system can then be obtained is:
Work as γ1=2 τ0LWhen, the electric energy that the negative resistance component of fractional order capacitance is provided to circuit is completely by radiating circuit Resistance, receiving circuit internal resistance and load absorption.
Assuming that the primary power of system is stored in pattern a1In, if a1(0)=1, a2(0)=0 pattern a can, then be obtained1And a2's Expression formula is:
Then:
The efficiency of transmission of system is:
From formula (9), if the electric energy that the negative resistance component of fractional order capacitance provides is completely by radiating circuit internal resistance, reception Circuit internal resistance and load absorption, i.e. γ1=2 τ0L, when system is operated in κ >=τ0LIn region, its working frequency isEfficiency of transmission is keptIt is invariable, when system is operated in κ < τ0LIn region, Its working frequency is ω=ω0, efficiency of transmission between transmitting and receiving circuit the coefficient of coup change, be
If the intrinsic frequency of transmitting coil and receiving coil is f0=2MHz, primary side inductance and secondary inductance are L=10 μ H, primary side capacitance and secondary capacitance are C=0.633nF, and radiating circuit internal resistance and receiving circuit internal resistance are RS=0.5 Ω, bears Load resistance is RL=10 Ω.
Voltage, the current relationship of the negative resistance component of fractional order capacitance meet:vR=-RiR, phase relation satisfaction:Output power meetsBy taking Mutual Inductance Coupling coefficient k=0.3 as an example, fractional order capacitance as shown in Figure 2 The voltage of negative resistance component, the phase difference of electric current be π, i.e., outwards release electric energy.
The relation curve for the efficiency of transmission that can obtain system by formula (9) is as shown in Figure 3.From the figure 3, it may be seen that meeting fractional order electricity The electric energy that the negative resistance component of appearance provides is completely by radiating circuit internal resistance, receiving circuit internal resistance and load absorption, i.e. γ1=2 τ0+ τLUnder conditions of, when system is operated in κ >=τ0LIn region, efficiency of transmission is keptIt is invariable, when system is operated in κ < τ0LIn region, efficiency of transmission changes with the coefficient of coup between transmitting and receiving circuit, is
As the above analysis, the no-voltage of the utility model it is source-series-tandem type radio energy transmission system, fractional order The negative resistance component of capacitance has the property of delivered power, provides electric energy to circuit, effectively instead of the work of high frequency power source With so that the structure of system is simpler, and simultaneous transmission efficiency can keep substantially constant within the specific limits, be conducive to more The advantages of application of more occasions, the utility model, is it is clear that be worthy to be popularized.
The examples of implementation of the above are only the preferred embodiment of the utility model, not limit the utility model with this Practical range, therefore the change that all shape, principles according to the utility model are made, should all cover in the scope of protection of the utility model It is interior.

Claims (3)

1. the no-voltage based on fractional order capacitance is source-series-tandem type radio energy transmission system, it is characterised in that:It is described wireless Electric energy transmission system includes the fractional order capacitance and radiating circuit and the receiving circuit being connected and load, the hair being connected Transmit-receive radio road and receiving circuit realize being wirelessly transferred for electric energy by way of electromagnetic induction coupling;The radiating circuit includes series connection The primary side inductance of connection and radiating circuit internal resistance, the radiating circuit internal resistance refer to the hair in addition to secondary reflexes to the resistance of primary side All positive resistances of transmit-receive radio road;The receiving circuit includes secondary inductance, secondary capacitance and the receiving circuit internal resistance being connected in series, institute State receiving circuit internal resistance and refer to all positive resistances of receiving circuit including secondary capacitance internal resistance.
2. the no-voltage according to claim 1 based on fractional order capacitance is source-series-tandem type radio energy transmission system, It is characterized in that:The voltage of the fractional order capacitance, current differential relation meet:Phase relation meets:Wherein, iCTo flow through the electric current of fractional order capacitance, vCFor the voltage at fractional order capacitance both ends, α is fractional order capacitance Exponent number, and 1 < α < 2, CαFor the capacitance of fractional order capacitance.
3. the no-voltage according to claim 1 based on fractional order capacitance is source-series-tandem type radio energy transmission system, It is characterized in that:The negative resistance component and capacitive component of the fractional order capacitance be respectively:
<mrow> <mo>-</mo> <mi>R</mi> <mo>=</mo> <mfrac> <mn>1</mn> <mrow> <msup> <mi>&amp;omega;</mi> <mi>&amp;alpha;</mi> </msup> <msub> <mi>C</mi> <mi>&amp;alpha;</mi> </msub> </mrow> </mfrac> <mi>c</mi> <mi>o</mi> <mi>s</mi> <mrow> <mo>(</mo> <mfrac> <mi>&amp;pi;</mi> <mn>2</mn> </mfrac> <mi>&amp;alpha;</mi> <mo>)</mo> </mrow> </mrow>
<mrow> <msub> <mi>Z</mi> <msub> <mi>C</mi> <mi>&amp;alpha;</mi> </msub> </msub> <mo>=</mo> <mfrac> <mn>1</mn> <mrow> <msup> <mi>j&amp;omega;</mi> <mi>&amp;alpha;</mi> </msup> <msub> <mi>C</mi> <mi>&amp;alpha;</mi> </msub> </mrow> </mfrac> <mi>s</mi> <mi>i</mi> <mi>n</mi> <mrow> <mo>(</mo> <mfrac> <mi>&amp;pi;</mi> <mn>2</mn> </mfrac> <mi>&amp;alpha;</mi> <mo>)</mo> </mrow> </mrow>
In formula,It is negative resistance component for the real component of fractional order condensance, negative resistance resistance value isIt is capacitive component for the imaginary of fractional order condensance;
The parameter of the capacitive component of the fractional order capacitance and the series arm of primary side inductance needs the condition for meeting resonance:
<mrow> <msub> <mi>&amp;omega;L</mi> <mn>1</mn> </msub> <mo>=</mo> <mfrac> <mn>1</mn> <mrow> <msup> <mi>&amp;omega;</mi> <mi>&amp;alpha;</mi> </msup> <msub> <mi>C</mi> <mi>&amp;alpha;</mi> </msub> </mrow> </mfrac> <mi>s</mi> <mi>i</mi> <mi>n</mi> <mrow> <mo>(</mo> <mfrac> <mi>&amp;pi;</mi> <mn>2</mn> </mfrac> <mi>&amp;alpha;</mi> <mo>)</mo> </mrow> </mrow>
Make fractional order capacitance that there is negative resistance component, the exponent number of fractional order capacitance also needs to meet:
1 < α < 2
Negative resistance component for providing from electric energy to system also needs to meet:
R≥RS1+RS2+RL
I.e.:
<mrow> <mfrac> <mn>1</mn> <mrow> <msup> <mi>&amp;omega;</mi> <mi>&amp;alpha;</mi> </msup> <msub> <mi>C</mi> <mi>&amp;alpha;</mi> </msub> </mrow> </mfrac> <mi>c</mi> <mi>o</mi> <mi>s</mi> <mrow> <mo>(</mo> <mfrac> <mi>&amp;pi;</mi> <mn>2</mn> </mfrac> <mi>&amp;alpha;</mi> <mo>)</mo> </mrow> <mo>&amp;le;</mo> <mo>-</mo> <mrow> <mo>(</mo> <msub> <mi>R</mi> <mrow> <mi>S</mi> <mn>1</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>R</mi> <mrow> <mi>S</mi> <mn>2</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>R</mi> <mi>L</mi> </msub> <mo>)</mo> </mrow> </mrow>
At this time, fractional order capacitance has negative resistance component, provides electric energy to load and Coil resistance, and work asWhen, the electric energy that negative resistance provides is completely by radiating circuit internal resistance, receiving circuit internal resistance And load absorption, RS1For radiating circuit internal resistance value, RS2For receiving circuit internal resistance value, RLTo load resistance value;
The secondary inductance, the parameter of capacitive series branch need the condition for meeting resonance:
<mrow> <msub> <mi>&amp;omega;L</mi> <mn>2</mn> </msub> <mo>=</mo> <mfrac> <mn>1</mn> <mrow> <msub> <mi>&amp;omega;C</mi> <mn>2</mn> </msub> </mrow> </mfrac> <mo>.</mo> </mrow>
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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN109038859A (en) * 2018-09-12 2018-12-18 杨景曙 A kind of wireless charging system and charging unit of symmetrical coupled series resonance

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN109038859A (en) * 2018-09-12 2018-12-18 杨景曙 A kind of wireless charging system and charging unit of symmetrical coupled series resonance
CN109038859B (en) * 2018-09-12 2021-07-30 杨景曙 Wireless charging system and charging device of symmetric coupling series resonance

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Effective date of registration: 20230328

Address after: Room 402-F001, Building 4, No. 5 Mupi East Road, Tianhe District, Guangzhou City, Guangdong Province, 510630

Patentee after: Guangzhou Qingdian Technology Co.,Ltd.

Address before: 510640 No. five, 381 mountain road, Guangzhou, Guangdong, Tianhe District

Patentee before: SOUTH CHINA University OF TECHNOLOGY