CN107742926A - The source-series parallel connection type radio energy transmission system of no-voltage based on fractional order electric capacity - Google Patents

The source-series parallel connection type radio energy transmission system of no-voltage based on fractional order electric capacity Download PDF

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CN107742926A
CN107742926A CN201710934537.9A CN201710934537A CN107742926A CN 107742926 A CN107742926 A CN 107742926A CN 201710934537 A CN201710934537 A CN 201710934537A CN 107742926 A CN107742926 A CN 107742926A
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electric capacity
fractional order
mrow
order electric
mfrac
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CN107742926B (en
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张波
疏许健
韩冲
周佳丽
丘东元
陈艳峰
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South China University of Technology SCUT
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J50/00Circuit arrangements or systems for wireless supply or distribution of electric power
    • H02J50/10Circuit arrangements or systems for wireless supply or distribution of electric power using inductive coupling
    • H02J50/12Circuit arrangements or systems for wireless supply or distribution of electric power using inductive coupling of the resonant type

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  • Engineering & Computer Science (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Power Engineering (AREA)
  • Charge And Discharge Circuits For Batteries Or The Like (AREA)
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Abstract

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

Description

No-voltage based on fractional order electric capacity is source-series-parallel connection type radio energy transmission system
Technical field
The present invention relates to the field of wireless power transmission or wireless power transmission technology, refers in particular to one kind and is based on fractional order electric capacity No-voltage it is source-series-parallel connection 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 in 19 end of the centurys, Ni Gula teslas (Nikola Tesla) utilize wireless power transmission principle, A bulb has been lighted in the case of no any 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 increasing scholar is 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 generally 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 turns into 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 power output 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 electric capacity is by the concept of fractional calculus, fractional order different from traditional integer rank electric capacity Electric capacity includes two parameters of capacitance and exponent number, and this make it that the design freedom of fractional order electric capacity is more than integer rank electric capacity, possesses one The property that a little conventional integer rank electric capacity do not possess.For example fractional order electric capacity 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 parallel connection type radio energy transmission system, realizes the energy supply to circuit, not only makes system architecture simpler, Avoid high frequency, the technical barrier that high power switch converter is difficult to, and add the free degree of system fading margin, make ginseng Number design is more flexible, is easy to optimize.
The content of the invention
It is an object of the invention to overcome the deficiencies of the prior art and provide a kind of no-voltage source based on fractional order electric capacity Serial-parallel type radio energy transmission system, not only make system architecture simpler, avoid high frequency, high power switch conversion The technical barrier that device is difficult to, and the free degree of system fading margin is added, make parameter designing more flexible, be easy to optimize.
To achieve the above object, technical scheme provided by the present invention is:No-voltage based on fractional order electric capacity is source-series- Parallel connection type radio energy transmission system, the radio energy transmission system include the fractional order electric capacity that is connected and radiating circuit with And the receiving circuit being connected and load, the radiating circuit and receiving circuit realize electric energy by way of electromagnetic induction coupling Be wirelessly transferred;The radiating circuit includes primary side inductance and the radiating circuit internal resistance being connected in series, 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 the pair being connected in parallel Side receiving coil and secondary electric capacity, the secondary receiving coil include secondary inductance and the receiving circuit internal resistance being connected in series, institute It is all positive resistances of receiving circuit including secondary electric capacity internal resistance to state receiving circuit internal resistance;The radio energy transmission system It is connected on using fractional order electric capacity in radiating circuit, there is the property of negative resistance component using fractional order electric capacity under special parameter Matter, the energy supply to circuit is realized, while using the capacitive component of fractional order electric capacity, realize the series resonance with primary side inductance.
The voltage of the fractional order electric capacity, current differential relation meet:Phase relation meets:Wherein, iCTo flow through the electric current of fractional order electric capacity, vCFor the voltage at fractional order electric capacity both ends, α is fractional order electric capacity Exponent number, and 1 < α < 2, CαFor the capacitance of fractional order electric capacity.
The negative resistance component and capacitive component of the fractional order electric capacity be respectively:
In formula, ω is the working frequency of system,For the real component of fractional order condensance, it is Negative resistance component, negative resistance resistance areFor the imaginary component of fractional order condensance Amount, as capacitive component;
The parameter of the capacitive component of fractional order electric capacity and the series arm of primary side inductance needs the condition for meeting resonance:
Make fractional order electric capacity that there is negative resistance component, the exponent number of fractional order electric capacity also needs to meet:
1 < α < 2.
The present invention operation principle be:The fractional order electric capacity of primary circuit series connection has under 1 < α < 2 Parameter Conditions Negative resistance component, negative resistance have the property for outwards releasing energy, provided for whole serial-parallel type radio energy transmission system Electric energy, the high frequency power source in conventional serial-parallel connection type radio energy transmission system is instead of, meanwhile, radiating circuit includes string The primary side inductance and radiating circuit internal resistance, receiving circuit for joining connection are connected in parallel by secondary receiving coil and secondary electric capacity, secondary Receiving coil includes secondary inductance and the receiving circuit internal resistance being connected in series.
The present invention compared with prior art, has the following advantages that and beneficial effect:
1st, system architecture is simple, and fractional order electric capacity 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 electric capacity, it is wireless substitutes traditional serial-parallel 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 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 electric capacity 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 invention will be further described.
The no-voltage based on fractional order electric capacity that the present embodiment is provided is source-series-parallel connection type radio energy transmission system General principle is that have the spy for releasing energy, being provided out electric energy using negative resistance component of the fractional order electric capacity under special parameter Property, for substituting the high frequency power source in traditional serial-parallel 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, while utilize the capacitive component and primary side electricity of fractional order electric capacity Series resonance is realized in sense.
As shown in figure 1, be the specific implementation circuit of the system, including the fractional order electric capacity C being connectedαWith radiating circuit with And the receiving circuit being connected and load RL, radiating circuit and receiving circuit realize electric energy by way of electromagnetic induction coupling It is wirelessly transferred;Radiating circuit includes the primary inductor L being connected in series1With radiating circuit internal resistance RS1, radiating circuit internal resistance RS1Refer to All positive resistances of radiating circuit in addition to secondary reflexes to the resistance of primary side;The secondary that receiving circuit includes being connected in parallel receives line Circle and secondary electric capacity C2, secondary receiving coil includes the secondary inductance L that is connected in series2With receiving circuit internal resistance RS2, wherein receiving Circuit internal resistance RS2It is all positive resistances of receiving circuit including secondary electric capacity internal resistance.
For easy analysis, radiating circuit internal resistance R is madeS1With receiving circuit internal resistance RS2Parameter is consistent, and resistance is all RS;Order is former Side inductance L1With secondary inductance L2Parameter is consistent, and inductance value is all L.
When capacitive component, primary side inductance series arm when fractional order electric capacity are arranged to resonant condition, its parameter meets:
That is the resonant frequency of system is:
In formula,For the imaginary of fractional order electric capacity, i.e. capacitive component.
It can be obtained by coupling mode equations:
In formula,For the resonant frequency of system,For radiating circuit and receiving circuit Internal resistance loss factor,For the negative resistance component coefficient of fractional order electric capacity,It is for load Number,The coefficient of coup between transmitting and receiving circuit,It is mutual between transmitting coil and receiving coil Feel the coefficient of coup, 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 electric capacity 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) pattern a can=0, then be obtained1And a2's Expression formula is:
Then:
The efficiency of transmission of system is:
From above-mentioned equation, if the electric energy that provides of the negative resistance component of fractional order electric capacity completely by radiating circuit internal resistance, Receiving 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 electric capacity and secondary electric capacity are C=0.633nF, and radiating circuit internal resistance and receiving circuit internal resistance are RS=0.5 Ω, bear Load resistance is RL=2000 Ω.
Voltage, the current relationship of the negative resistance component of fractional order electric capacity meet:vR=-RiR, phase relation satisfaction:Power output meetsBy taking Mutual Inductance Coupling coefficient k=0.1 as an example, fractional order electric capacity 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 (7) 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, no-voltage of the invention it is source-series-parallel connection type radio energy transmission system, fractional order electric capacity Negative resistance component there is the property of delivered power, provide electric energy to circuit, effectively instead of the effect of high frequency power source, make The structure for the system of obtaining is simpler, and simultaneous transmission efficiency can keep substantially constant within the specific limits, be advantageous in more fields The application of conjunction, advantages of the present invention is it is clear that be worthy to be popularized.
Examples of implementation described above are only the preferred embodiments of the invention, and the implementation model of the present invention is not limited with this Enclose, therefore the change that all shape, principles according to the present invention are made, it all should cover within the scope of the present invention.

Claims (3)

1. the no-voltage based on fractional order electric capacity is source-series-parallel connection type radio energy transmission system, it is characterised in that:It is described wireless Electric energy transmission system includes the fractional order electric capacity 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 the secondary receiving coil and secondary electric capacity being connected in parallel, and the secondary connects It is to include secondary electric capacity internal resistance that take-up circle, which includes the secondary inductance being connected in series and receiving circuit internal resistance, the receiving circuit internal resistance, All positive resistances of receiving circuit inside;The radio energy transmission system is connected in radiating circuit using fractional order electric capacity, There is the property of negative resistance component using fractional order electric capacity under special parameter, realize the energy supply to circuit, while utilize fraction The capacitive component of rank electric capacity, realize the series resonance with primary side inductance.
2. the no-voltage according to claim 1 based on fractional order electric capacity is source-series-parallel connection type radio energy transmission system, It is characterized in that:The voltage of the fractional order electric capacity, current differential relation meet:Phase relation meets:Wherein, iCTo flow through the electric current of fractional order electric capacity, vCFor the voltage at fractional order electric capacity both ends, α is fractional order electric capacity Exponent number, and 1 < α < 2, CαFor the capacitance of fractional order electric capacity.
3. the no-voltage according to claim 1 based on fractional order electric capacity is source-series-parallel connection type radio energy transmission system, It is characterized in that:The negative resistance component and capacitive component of the fractional order electric capacity 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, ω is the working frequency of system,For the real component of fractional order condensance, as negative electricity Component is hindered, negative resistance resistance isFor the imaginary of fractional order condensance, As capacitive component;
The parameter of the capacitive component of fractional order electric capacity 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 electric capacity that there is negative resistance component, the exponent number of fractional order electric capacity also needs to meet:
1 < α < 2.
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CN110429722A (en) * 2019-07-23 2019-11-08 华南理工大学 A kind of parallel connection type fractional order autonomy wireless power transmission systems
CN110444379A (en) * 2019-07-23 2019-11-12 华南理工大学 A kind of iron-free core transformer based on secondary side tandem type fractional order circuit
CN110971005A (en) * 2019-12-17 2020-04-07 华南理工大学 Electric field coupling wireless power transmission system of series autonomous fractional order circuit
CN114759688A (en) * 2022-05-27 2022-07-15 福州大学 Autonomous fractional order bidirectional wireless charging and discharging system with high robustness
CN114977446A (en) * 2022-05-19 2022-08-30 厦门大学 Semi-active rectification electric energy transmission device based on adaptive fractional order self-control circuit

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CN106505749A (en) * 2016-11-04 2017-03-15 华南理工大学 The method of fractional order electric capacity stable resonant oscillation wireless power transmission coil resonance frequency
CN206272351U (en) * 2016-12-05 2017-06-20 华南理工大学 A kind of utilization fractional order electric capacity offsets the fractional order radio energy transmission system of internal resistance
CN107086674A (en) * 2017-05-03 2017-08-22 华南理工大学 A kind of and series compensation type fractional order inductively radio energy transmission system

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Publication number Priority date Publication date Assignee Title
CN103762725A (en) * 2014-01-10 2014-04-30 华南理工大学 Wireless power transmission system of fractional order impedance matching network
CN103915910A (en) * 2014-03-31 2014-07-09 华南理工大学 Wireless power transmission system with integral-order parts and fractional-order parts realizing series-parallel resonance
CN106505749A (en) * 2016-11-04 2017-03-15 华南理工大学 The method of fractional order electric capacity stable resonant oscillation wireless power transmission coil resonance frequency
CN206272351U (en) * 2016-12-05 2017-06-20 华南理工大学 A kind of utilization fractional order electric capacity offsets the fractional order radio energy transmission system of internal resistance
CN107086674A (en) * 2017-05-03 2017-08-22 华南理工大学 A kind of and series compensation type fractional order inductively radio energy transmission system

Cited By (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN110429722A (en) * 2019-07-23 2019-11-08 华南理工大学 A kind of parallel connection type fractional order autonomy wireless power transmission systems
CN110444379A (en) * 2019-07-23 2019-11-12 华南理工大学 A kind of iron-free core transformer based on secondary side tandem type fractional order circuit
CN110971005A (en) * 2019-12-17 2020-04-07 华南理工大学 Electric field coupling wireless power transmission system of series autonomous fractional order circuit
CN114977446A (en) * 2022-05-19 2022-08-30 厦门大学 Semi-active rectification electric energy transmission device based on adaptive fractional order self-control circuit
CN114759688A (en) * 2022-05-27 2022-07-15 福州大学 Autonomous fractional order bidirectional wireless charging and discharging system with high robustness

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