CN109755006A - A kind of parallel connection based on PT symmetry principle-parallel connection type iron-free core transformer - Google Patents
A kind of parallel connection based on PT symmetry principle-parallel connection type iron-free core transformer Download PDFInfo
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- CN109755006A CN109755006A CN201910078713.2A CN201910078713A CN109755006A CN 109755006 A CN109755006 A CN 109755006A CN 201910078713 A CN201910078713 A CN 201910078713A CN 109755006 A CN109755006 A CN 109755006A
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Abstract
The invention discloses a kind of parallel connection based on PT symmetry principle-parallel connection type iron-free core transformers, including primary circuit and secondary loop；The primary circuit packet primary capacitor, primary coil and the negative resistance of energy is provided for transformer, the negative resistance, primary capacitor, parallel connection of primary windings connection；The secondary loop includes secondary coil, secondary parallel capacitor and load, and the secondary capacitance, secondary coil, load resistance are connected in parallel；Iron-core-free connects between the primary coil and secondary coil.Present invention application PT symmetry principle designs parallel connection-parallel connection type iron-free core transformer, realize voltage identical with the cored transformer of tradition, current transformation function, and it is able to achieve the high efficiency of transmission of energy, transformer is solved in iron-core-free, because magnetic field coupling is weak efficiently to transmit energy the problem of, the iron-core-free for realizing transformer significantly reduces the volume, cost and loss of transformer.
Description
Technical field
The present invention relates to the technical field of transformer, refer in particular to it is a kind of based on parallel connection-parallel connection type of PT symmetry principle without
Appendiron core transformer.
Background technique
The working principle of the cored transformer of tradition is based on Faraday's electromagnetic induction law, and iron core is typically considered change
The effect of the essential part of depressor, iron core mainly provides good guiding path for primary and secondary magnetic flux, first with enhancing,
Magnetic coupling between secondary.But iron core increases cost, and the presence of iron core seriously limits the integrated and light weight of transformer
Change, there is also the inherent defects such as loss, magnetic saturation for this outer iron core.Studying iron-free core transformer becomes the dream of electrical engineer.
PCB iron-free core transformer based on printed circuit board is to study more one kind at present, but PCB iron-free core transformer
Working frequency is high, output power is small, is only applicable to the small-powers occasions such as switching tube driving, and primary and secondary voltage, current gain are not
It is directly related to coil sensibility reciprocal again.And parity-time (PT) symmetrical quantum theory that professor Bender.C.M foundes is to solve this
A little problems provide brand-new approach, which has been successfully applied the multiple fields such as optics, materialogy and has shown huge
PT symmetry principle is applied in iron-core-free design of transformer by big advantage, the present invention.
Summary of the invention
The purpose of the present invention is to overcome the shortcomings of the existing technology with it is insufficient, propose it is a kind of based on PT symmetry principle and
Connection-parallel connection type iron-free core transformer designs parallel connection-parallel connection type iron-free core transformer using PT symmetry principle, realizes and tradition
The identical voltage of cored transformer, current transformation function, and it is able to achieve the high efficiency of transmission of energy, solve transformer in iron-free
In the case of core, because magnetic field coupling is weak efficiently to transmit energy the problem of, the iron-core-free of transformer is realized, is greatly reduced
The volume of transformer, cost and loss are expected to the cored transformer of substitution tradition.
To achieve the above object, a kind of technical solution provided by the present invention are as follows: parallel connection-parallel connection based on PT symmetry principle
Type iron-free core transformer, including primary circuit and secondary loop；The primary circuit packet primary capacitor, primary coil and be transformation
Device provides the negative resistance of energy, the negative resistance, primary capacitor, parallel connection of primary windings connection；The secondary loop includes secondary
Coil, secondary parallel capacitor and load, the secondary capacitance, secondary coil, load resistance are connected in parallel；The primary coil with
Iron-core-free connects between secondary coil；The LC parallel resonance frequency of the primary circuit isThe secondary loop
LC parallel resonance frequency beIt is as follows that PT symmetric condition need to be met:
In formula ,-RNBe negative resistance, RLFor load resistor value, L1And L2The respectively electricity of primary coil and secondary coil
Inductance value, C1And C2The respectively capacitance of primary parallel capacitor and secondary parallel capacitor, k is between primary coil and secondary coil
Mutual inductance.
Further, the voltage of the negative resistance, current relationship meet:Phase relation meets:
Wherein,For the fundamental current virtual value for flowing through negative resistance, V1For the fundamental voltage RMS at negative resistance both ends ,-RNFor negative electricity
The resistance value of resistance.
The operation principle of the present invention is that: the negative resistance of primary circuit provides energy for load, when system parameter meets PT pairs
When title condition, voltage, current gain with primary and secondary coil sensibility reciprocal than directly related, and the energy of negative resistance can be close to it is lossless
Pass to load, therefore the function almost the same with the cored transformer of tradition may be implemented in iron-free core transformer of the present invention.
Compared with prior art, the present invention have the following advantages that with the utility model has the advantages that
1, transformer device structure of the present invention is simple, is not necessarily to iron core.
2, traditional transformer is compared, weight, volume and cost are greatly reduced.
3, directly related with primary and secondary winding inductance quantity compared to existing iron-core-free transformer voltage, current gain, with tradition
Transformer rule is consistent.
4, using parallel connection-parallel connection type topological structure, it is suitable for loading larger situation.
Detailed description of the invention
Fig. 1 is parallel connection-parallel connection type iron-core-free transformer device structure circuit diagram.
Fig. 2 is the parallel connection-working frequency curve of parallel connection type iron-free core transformer under different loads in embodiment.
Fig. 3 is that the parallel connection-voltage of parallel connection type iron-free core transformer under different loads compares curve in embodiment.
Fig. 4 is that the parallel connection-electric current of parallel connection type iron-free core transformer under different loads compares curve in embodiment.
Fig. 5 is the parallel connection-output power curve of parallel connection type iron-free core transformer under different loads in embodiment.
Fig. 6 is parallel connection-parallel connection type iron-core-free transformer voltage simulation waveform in embodiment.
Specific embodiment
For the content and feature that the present invention is further explained, specific embodiments of the present invention are carried out below in conjunction with attached drawing
It illustrates, but implementation and protection of the invention is without being limited thereto.
As shown in Figure 1, the parallel connection based on PT symmetry principle-parallel connection type iron-free core transformer provided by the present embodiment, real
Matter is that the transformer of iron-core-free, including primary circuit and secondary loop are realized using parity-time symmetric circuit；Described primary time
Wrap primary capacitor C in road1, primary coil L1And negative resistance-the R of energy is provided for transformerN, the negative resistance-RN, primary capacitor
C1, primary coil L1It is connected in parallel；The secondary loop includes secondary coil L2, secondary parallel capacitor C2With load RL, described time
Grade capacitor C2, secondary coil L2, load resistance RLIt is connected in parallel；The primary coil L1With secondary coil L2Between iron-core-free connect
It connects.
According to Fig. 1, can be obtained by Kirchhoff's law:
In formula,For negative resistance-RN both end voltage vector, i.e., primary input voltage vector,To load RL both end voltage
Vector, i.e. secondary output voltage vector, L1、L2Respectively primary coil and secondary inductance value, C1、C2Respectively it is primary simultaneously
Join the capacitance of capacitor and secondary parallel capacitor ,-RNBe negative resistance, RLFor load resistor value, M is primary coil and secondary wire
Mutual inductance between circle, ω are transformer working frequency.
It enablesFor the intrinsic frequency of primary circuit,For the intrinsic frequency of secondary loop, and
It willIt substitutes into, then formula (1) turns to:
The condition that formula (2) has untrivialo solution is:
Real and imaginary part is carried out from can obtain to formula (3):
When primary circuit and secondary loop constitute PT symmetric circuit, then have
Then formula (4) can simplify are as follows:
Wherein
Frequency solution can be obtained by formula (6) are as follows:
Frequency can further be obtained by formula (7), and there are the conditions of pure real part solution are as follows:
Therefore, load resistance need to meet following condition:
Formula (4) and formula (5) are substituted into formula (2), primary input voltage virtual value U can be obtained1With secondary output voltage virtual value U2
The ratio between are as follows:
According to-RNU1=I1,RLU2=I2, and formula (5) can obtain electric current ratio:
It is ideal by formula (10), the visible parallel connection based on the PT symmetry principle-parallel connection type iron-free core transformer of formula (11) and tradition
Voltage, the electric current ratio of transformer are the same.
Output power can be obtained according to formula (11):
In order to illustrate accuracy and feasibility of the invention, in the present embodiment, a parallel connection-parallel connection type iron-free is devised
The transformer of core is emulated, and iron-core-free transformer parameter is as follows: primary inductance L1=140 μ H, secondary inductance L2=
35 μ H, the coefficient of coup k=0.3, ω1=ω2=20kHz, negative resistance are realized by power electronic circuit.It will imitate under different loads
True result and formula (11) and formula (12) compare, and working frequency such as Fig. 2 institute of iron-free core transformer under different loads resistance can be obtained
Show, iron-core-free transformer voltage ratio and electric current are more as shown in Figure 3, Figure 4 than curve under different loads resistance, Fig. 5 be different loads electricity
The output power of lower iron-free core transformer is hindered, Fig. 6 is load resistance RLIron-core-free transformer voltage waveform figure when=50 Ω.
As the above analysis, iron-free core transformer of the present invention can substitute traditional cored transformer completely, this
The advantages of invention, is it is clear that be worthy to be popularized.
Embodiment described above is only the preferred embodiments of the invention, and the present embodiment is parallel single-phase-parallel connection type iron-core-free
Transformer, but not intended to limit the scope of the present invention, therefore all structures according to the present invention, variation or combination made by principle,
It should all be included within the scope of protection of the present invention.
Claims (2)
1. a kind of parallel connection based on PT symmetry principle-parallel connection type iron-free core transformer, it is characterised in that: including primary circuit and time
Grade circuit；The primary circuit packet primary capacitor, primary coil and the negative resistance of energy is provided for transformer, the negative resistance,
Primary capacitor, parallel connection of primary windings connection；The secondary loop includes secondary coil, secondary parallel capacitor and load, and described time
Grade capacitor, secondary coil, load resistance are connected in parallel；Iron-core-free connects between the primary coil and secondary coil；It is described first
Grade circuit LC parallel resonance frequency beThe LC parallel resonance frequency of the secondary loop isIt is as follows that PT symmetric condition need to be met:
In formula ,-RNBe negative resistance, RLFor load resistor value, L1And L2Respectively primary coil and secondary inductance value,
C1And C2The respectively capacitance of primary parallel capacitor and secondary parallel capacitor, mutual inductance of the k between primary coil and secondary coil
Coefficient.
2. a kind of parallel connection based on PT symmetry principle-parallel connection type iron-free core transformer according to claim 1, feature exist
In: voltage, the current relationship of the negative resistance meet:Phase relation meets:Wherein,For stream
Cross the fundamental current virtual value of negative resistance, V1For the fundamental voltage RMS at negative resistance both ends ,-RNFor the resistance value of negative resistance.
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110428960A (en) * | 2019-07-23 | 2019-11-08 | 华南理工大学 | A kind of iron-free core transformer based on secondary side parallel connection type fractional order circuit |
| CN112986872A (en) * | 2021-04-30 | 2021-06-18 | 东南大学 | PT symmetrical micro-mechanical magnetic field sensor |
Citations (8)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US5579202A (en) * | 1994-02-07 | 1996-11-26 | Labyrint Development A/S | Transformer device |
| US5586017A (en) * | 1994-05-27 | 1996-12-17 | U.S. Philips Corporation | Power generator comprising a transformer |
| US6163242A (en) * | 1999-05-07 | 2000-12-19 | Scanditronix Medical Ab | Rotationally symmetrical high-voltage pulse transformer with tesla resonance and energy recovery |
| CN104036921A (en) * | 2014-06-05 | 2014-09-10 | 中国科学院电工研究所 | Magnetically-coupled resonant high-frequency air-core transformer |
| CN107707032A (en) * | 2017-10-10 | 2018-02-16 | 华南理工大学 | Parallel connection type radio energy transmission system in parallel based on negative resistance |
| CN108008222A (en) * | 2017-12-05 | 2018-05-08 | 华南理工大学 | A kind of coupled resonators parameter extraction device and its extracting method |
| CN109148130A (en) * | 2018-09-13 | 2019-01-04 | 华南理工大学 | It is a kind of based on parity-time symmetry principle iron-free core transformer |
| CN209515426U (en) * | 2019-01-28 | 2019-10-18 | 华南理工大学 | A kind of parallel connection based on PT symmetry principle-parallel connection type iron-free core transformer |
-
2019
- 2019-01-28 CN CN201910078713.2A patent/CN109755006A/en active Pending
Patent Citations (8)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US5579202A (en) * | 1994-02-07 | 1996-11-26 | Labyrint Development A/S | Transformer device |
| US5586017A (en) * | 1994-05-27 | 1996-12-17 | U.S. Philips Corporation | Power generator comprising a transformer |
| US6163242A (en) * | 1999-05-07 | 2000-12-19 | Scanditronix Medical Ab | Rotationally symmetrical high-voltage pulse transformer with tesla resonance and energy recovery |
| CN104036921A (en) * | 2014-06-05 | 2014-09-10 | 中国科学院电工研究所 | Magnetically-coupled resonant high-frequency air-core transformer |
| CN107707032A (en) * | 2017-10-10 | 2018-02-16 | 华南理工大学 | Parallel connection type radio energy transmission system in parallel based on negative resistance |
| CN108008222A (en) * | 2017-12-05 | 2018-05-08 | 华南理工大学 | A kind of coupled resonators parameter extraction device and its extracting method |
| CN109148130A (en) * | 2018-09-13 | 2019-01-04 | 华南理工大学 | It is a kind of based on parity-time symmetry principle iron-free core transformer |
| CN209515426U (en) * | 2019-01-28 | 2019-10-18 | 华南理工大学 | A kind of parallel connection based on PT symmetry principle-parallel connection type iron-free core transformer |
Non-Patent Citations (1)
| Title |
|---|
| SID ASSAWAWORRARIT; YU XIAOFANG; FAN SHANHUI: "Robust wireless power transfer using a nonlinear parity-time-symmetric circuit", NATURE, vol. 546, pages 387 - 390, XP055955704, DOI: 10.1038/nature22404 * |
Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110428960A (en) * | 2019-07-23 | 2019-11-08 | 华南理工大学 | A kind of iron-free core transformer based on secondary side parallel connection type fractional order circuit |
| CN112986872A (en) * | 2021-04-30 | 2021-06-18 | 东南大学 | PT symmetrical micro-mechanical magnetic field sensor |
| CN112986872B (en) * | 2021-04-30 | 2021-07-27 | 东南大学 | PT symmetrical micro-mechanical magnetic field sensor |
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