CN210578296U - Fractional order D class voltage resonance inverter - Google Patents
Fractional order D class voltage resonance inverter Download PDFInfo
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- CN210578296U CN210578296U CN201921820067.4U CN201921820067U CN210578296U CN 210578296 U CN210578296 U CN 210578296U CN 201921820067 U CN201921820067 U CN 201921820067U CN 210578296 U CN210578296 U CN 210578296U
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Abstract
The utility model discloses a fractional order D class voltage resonance inverter, including voltage source inverter circuit and load side voltage resonance circuit, voltage source inverter circuit includes power switch tube (S1 and S2), respectively with parallelly connected gate pole drive signal (v) of power switch tube (S1 and S2)GS1And vGS2) Diodes (vDS1 and vDS2) connected in parallel with the power switching tubes (S1 and S2), respectively, and a DC voltage source (V)i) The load side voltage resonance circuit includes a fractional order resonance capacitance (C)α) Fractional order resonant inductor (L)β) And a load (R)i) The D-class voltage resonance inverter realized by the fractional order element of the utility model is completely different from the prior inverter circuit,the control dimension of parameter design is increased; the resonant frequency of the series inverter circuit is greatly reduced, the requirement on the working frequency of the switching tube is reduced, and therefore the circuit cost is saved.
Description
Technical Field
The utility model relates to a resonant converter field, concretely relates to fractional order D class voltage resonance dc-to-ac converter.
Background
The energy conversion technology plays an important role in the power electronic technology, the conversion efficiency of the switching converter has a great influence on whether the converter can be widely applied, and the resonance conversion technology plays a significant role in improving the efficiency of the converter, reducing the switching loss and the like. For example, in the soft switching technology, the switching loss can be greatly reduced by using circuit resonance, and the transmission efficiency of the converter circuit is improved; in a wireless power transmission system, the introduction of a resonance link greatly increases the efficiency of short-distance power transmission, and brings great vitality for the popularization and application of wireless power transmission equipment. In addition, the appearance of the resonant converter lays a solid foundation for the high frequency and low noise of the energy processing equipment, and the development of the resonant converter promotes the miniaturization of the AC/DC energy equipment and greatly improves the reliability of the AC/DC energy equipment. The energy conversion equipment is widely applied to household appliances, aviation, instruments, national defense and the like.
The resonant converter technology is widely applied to inverter circuits, particularly in the technical field of high-frequency inverter circuits. The traditional resonant inverter utilizes the inductor and the capacitor to realize resonant transformation, the order of the actual inductor and the actual capacitor is not considered in the parameter design process, the inductor and the capacitor generate loss when the resonant inverter is at high frequency or low frequency, and the traditional parameter design method brings larger design errors.
The concept of a fractional order element originates at the end of the last century and includes a fractional order resonant capacitance, a fractional order resonant inductance, and then a fractional order memristor. The concept of fractional calculus, although long-standing, has not been applied until the last few decades due to the lack of physical background. Compared with the integral calculus theory, the fractional derivative modeling is more accurate, so that the application of the fractional derivative modeling is emphasized. In the field of resonance transformation, the traditional technical scheme is based on the integral order calculus theory, so that the requirement of industrial application on precision is difficult to be gradually improved.
In view of the advantages of the parameter optimization design using the fractional calculus theory, it is necessary to provide a fractional order class D voltage resonant inverter.
Disclosure of Invention
An object of the utility model is to overcome above-mentioned prior art not enough, provide a fractional order D class voltage resonance inverter.
The purpose of the utility model is realized like this:
fractional orderA class D voltage resonant inverter comprising a voltage source inverter circuit including a power switching tube (S) and a load side voltage resonant circuit1And S2) Respectively connected with the power switch tube (S)1And S2) Parallel gate drive signal (v)GS1And vGS2) Respectively connected with the power switch tube (S)1And S2) Parallel diodes (v)DS1And vDS2) And a DC voltage source (V)i) The load side voltage resonance circuit includes a fractional order resonance capacitance (C)α) Fractional order resonant inductor (L)β) And a load (R)i) Said fractional order resonance capacitance (C)α) Fractional order resonant inductor (L)β) And a load (R)i) Are connected in series with each other through a switching tube (S)1And S2) Gate drive signal (v)GS1And vGS2) And a diode (v)DS1And vDS2) A DC voltage source (V)i) Via series connection of said fractional order resonant capacitor (C)α) And fractional order resonant inductance (L)β) To the load (R)i) Outputting sine wave voltage; power switch tube (S)1And S2) Forward series, power switch tube (S)1And S2) Is provided with a DC voltage source (V)i) And is connected with the power switch tube (S)1And S2) In series, at the power switch tube S2An inversion output voltage is led out from two ends, and a fractional order resonance capacitor (C) is connected in series with two ends of the inversion output voltageα) Fractional order resonant inductor (L)β) And a load (R)i) In the power switch tube (S)1And S2) With anti-parallel diode (v) connected at both endsDS1And vDS2) And in the power switch tube (S)1And S2) Is connected to a corresponding gate drive signal (v)GS1And vGS2) The working principle is that two switching tubes are driven by a gate pole driving signal (S)1And S2) Alternately conducting to form two working modes to drive the load (R)i)。
The time domain relation of the voltage and the current of the fractional order resonance capacitor meets the equation:
the phase relation satisfies:
wherein
In the form of a fractional order differential operator,
as a fractional order integral operator, iC(t) is the current flowing through the fractional order resonant capacitor, uC(t) is the voltage across the fractional order resonant capacitor, α is the order of the fractional order resonant capacitor, CαIs the capacitance value of the fractional order resonance capacitor.
The time domain relation of the voltage and the current of the fractional order resonance inductor satisfies the equation:
the phase relation satisfies:
wherein u isLIs the voltage across a fractional order resonant inductor, iLis the current flowing through the fractional order resonant inductor, β is the order of the fractional order resonant inductor, LβIs the inductance value of the fractional order resonant inductor.
The utility model has the advantages that: the D-type voltage resonance inverter realized by the fractional order element is completely different from the prior inverter circuit, and the control dimensionality of parameter design is increased; the proper fractional order element order is selected through parameter design, so that the resonant frequency of the series inverter circuit is greatly reduced, the requirement on the working frequency of a switching tube is reduced, and the circuit cost is saved; by designing a proper order, the voltage transformation ratio of the inverter circuit is increased, and the controllability of the inverter circuit is improved.
Drawings
Fig. 1 is a circuit diagram of the present invention;
FIG. 2 is an equivalent circuit diagram of FIG. 1;
FIG. 3 is a simplified schematic analysis of FIG. 2;
FIG. 4 is a graph of fractional order element order versus resonant angular frequency;
FIG. 5(a) and FIG. 5(b) are the resonant angular frequency curves of the fractional order element with different orders;
fig. 6(a), 6(b), and 6(c) show the voltage transformation ratio M when α is a fixed value and β is variableVIA curved surface diagram of (a);
in fig. 7(a), 7(b), and 7(c), the voltage variation ratio M is a fixed value of β and is variable by αVIA curved surface view of (a).
Detailed Description
The present invention will be further explained with reference to the accompanying drawings.
As shown in FIG. 1, a fractional order class D voltage resonance inverter comprises a voltage source inverter circuit and a load side voltage resonance circuit, wherein the voltage source inverter circuit comprises a power switch tube (S)1And S2) Respectively connected with the power switch tube (S)1And S2) Parallel gate drive signal (v)GS1And vGS2) Respectively connected with the power switch tube (S)1And S2) Parallel diodes (v)DS1And vDS2) And a DC voltage source (V)i) The load side voltage resonance circuit includes a fractional order resonance capacitance (C)α) Fractional order resonant inductor (L)β) And a load (R)i) Said fractional order resonance capacitance (C)α) Fractional order resonant inductor (L)β) And a load (R)i) Are connected in series with each other through a switching tube (S)1And S2) Gate drive signal (v)GS1And vGS2) And a diode (v)DS1And vDS2) A DC voltage source (V)i) Via series connection of said fractional order resonant capacitor (C)α) And fractional order resonant inductance (L)β) To the load (R)i) Output sine wave electricityPressing; power switch tube (S)1And S2) Forward series, power switch tube (S)1And S2) Is provided with a DC voltage source (V)i) And is connected with the power switch tube (S)1And S2) In series, at the power switch tube S2An inversion output voltage is led out from two ends, and a fractional order resonance capacitor (C) is connected in series with two ends of the inversion output voltageα) Fractional order resonant inductor (L)β) And a load (R)i) In the power switch tube (S)1And S2) With anti-parallel diode (v) connected at both endsDS1And vDS2) And in the power switch tube (S)1And S2) Is connected to a corresponding gate drive signal (v)GS1And vGS2) The working principle is that two switching tubes are driven by a gate pole driving signal (S)1And S2) Alternately conducting to form two working modes to drive the load (R)i) It increases the control dimension of the parameter design; the proper fractional order element order is selected through parameter design, so that the resonant frequency of the series inverter circuit is greatly reduced, the requirement on the working frequency of a switching tube is reduced, and the circuit cost is saved; by designing a proper order, the voltage transformation ratio of the inverter circuit is increased, and the controllability of the inverter circuit is improved.
The time domain relation of the voltage and the current of the fractional order resonance capacitor meets the equation:
the phase relation satisfies:
wherein
In the form of a fractional order differential operator,
as a fractional order integral operator, iC(t) is a flow of fractional order resonance electricityCurrent of capacity, uC(t) is the voltage across the fractional order resonant capacitor, α is the order of the fractional order resonant capacitor, CαIs the capacitance value of the fractional order resonance capacitor.
The time domain relation of the voltage and the current of the fractional order resonance inductor satisfies the equation:
the phase relation satisfies:
wherein u isLIs the voltage across a fractional order resonant inductor, iLis the current flowing through the fractional order resonant inductor, β is the order of the fractional order resonant inductor, LβIs the inductance value of the fractional order resonant inductor.
In FIGS. 1 to 7, the switch tube (S) is used1And S2) Gate drive signal (v)GS1And vGS2) Diode (v)DS1And vDS2) A DC voltage source (V)i) The output voltage is a sine wave through a fractional order series voltage resonance circuit, wherein the fractional order resonance inductance (L)β) Fractional order resonant capacitance (C)α) Form a series voltage resonance circuit and are connected to a load (R)i). For ease of analysis, the inverter circuit is simplified as shown in FIG. 2, where rDS1，rDS2Is an on-resistance. Let r beDS1＝rDS2＝rDSThen fig. 2 can be simplified to fig. 3. For the purpose of derivation, Lβ、CαNoted as L, C. As can be seen from fig. 3, the fractional order class D voltage resonant inverter is a high pass filter having two fractional order components.
first, the relationship between the resonant frequency and the order α of the fractional order resonant capacitance and the order β of the fractional order resonant inductance is calculated for the series impedance Z in FIG. 3
Wherein,
R＝Ri+rDS，
when X is presentsWhen the value is 0, the load-side impedance Z is at the boundary between the inductance and the capacitance, and the resonant frequency is expressed by
The obtained resonant frequency omega0Is composed of
To study the effect of fractional orders on the resonant frequency, here, R is takeni＝25.3Ω，L＝225uH，C＝10nF，rDSwhen the fractional order is changed, the resonance frequency curved surface is shown in fig. 4, namely, the resonance curved surface is a saddle surface, when the α is fixed, the minimum value of the resonance frequency appears near β -1, and the resonance frequency is larger towards two ends, as shown in fig. 5(a), when the beta is fixed, the maximum value of the resonance frequency appears near the α is 1, and the resonance frequency is smaller towards two ends, as shown in fig. 5 (b).
Next, the relationship between the voltage transfer ratio and the order α of the fractional order resonant capacitor and the order β of the fractional order resonant inductor is calculated, as can be seen from FIG. 3, the input voltage of the resonant circuit is a square wave signal
Having a Fourier series of
Having a fundamental component of
It can be obtained as the root mean square value
Therefore, the basic voltage component and V of the input terminal of the resonant circuit can be obtainediA transformation ratio of
As can be seen from FIG. 3, the voltage transfer function of the series resonant circuit is
Wherein, V1Is vi1Phasor representation of (V)RiIs vRiPhasor representation of (a). MVrIs a mold of
Here, VRiIs vRiRoot mean square value of (d). The complete transfer function of the whole inverter is
The AC/AC voltage transfer function of the series resonant circuit is
The DC-AC voltage transformation ratio can be calculated as
From the foregoing analysis, the inverter voltage transformation ratio is not only related to the inductance capacitance value, but also related to the order of the fractional order component therein, and the change of the fractional order will have a significant effect on the circuit performance.
1) when α is a fixed value and β is variable, the inverter parameter is taken as Ri＝25.3Ω，L＝225uH，C＝10nF，r DS1 Ω. It can be seen from the figure that the voltage transformation ratio can be increased by adjusting the operating frequency and the fractional order element order, and compared with the case of the integer order, the voltage transformation ratio can be further increased due to the introduction of the fractional order, so that the controllability of the voltage transformation ratio is improved.
2) when α is variable β is a fixed value, the inverter parameter is taken as Ri＝25.3Ω，L＝225uH，C＝10nF，r DS1 Ω. It can be seen from the figure that the voltage transformation ratio can be increased by adjusting the operating frequency and the fractional order element order, and compared with the case of the integer order, the voltage transformation ratio can be further increased due to the introduction of the fractional order, so that the controllability of the voltage transformation ratio is improved.
The D-type voltage resonance inverter realized by the fractional order element is completely different from the prior inverter circuit, and the control dimensionality of parameter design is increased; the proper fractional order element order is selected through parameter design, so that the resonant frequency of the series inverter circuit is greatly reduced, the requirement on the working frequency of a switching tube is reduced, and the circuit cost is saved; by designing a proper order, the voltage transformation ratio of the inverter circuit is increased, and the controllability of the inverter circuit is improved.
Claims (3)
1. Fractional orderClass D voltage resonant inverter characterized by: comprises a voltage source inverter circuit including a power switch tube (S)1And S2) Respectively connected with the power switch tube (S)1And S2) Parallel gate drive signal (v)GS1And vGS2) Respectively connected with the power switch tube (S)1And S2) Parallel diodes (v)DS1And vDS2) And a DC voltage source (V)i) The load side voltage resonance circuit includes a fractional order resonance capacitance (C)α) Fractional order resonant inductor (L)β) And a load (R)i) Said fractional order resonance capacitance (C)α) Fractional order resonant inductor (L)β) And a load (R)i) Are connected in series with each other through a switching tube (S)1And S2) Gate drive signal (v)GS1And vGS2) And a diode (v)DS1And vDS2) A DC voltage source (V)i) Via series connection of said fractional order resonant capacitor (C)α) And fractional order resonant inductance (L)β) To the load (R)i) Outputting sine wave voltage; power switch tube (S)1And S2) Forward series, power switch tube (S)1And S2) Is provided with a DC voltage source (V)i) And is connected with the power switch tube (S)1And S2) In series, at the power switch tube S2An inversion output voltage is led out from two ends, and a fractional order resonance capacitor (C) is connected in series with two ends of the inversion output voltageα) Fractional order resonant inductor (L)β) And a load (R)i) In the power switch tube (S)1And S2) With anti-parallel diode (v) connected at both endsDS1And vDS2) And in the power switch tube (S)1And S2) Is connected to a corresponding gate drive signal (v)GS1And vGS2)。
2. The fractional order class-D voltage resonant inverter of claim 1, wherein: the time domain relation of the voltage and the current of the fractional order resonance capacitor meets the equation:
the phase relation satisfies:
wherein
In the form of a fractional order differential operator,
as a fractional order integral operator, iC(t) is the current flowing through the fractional order resonant capacitor, uC(t) is the voltage across the fractional order resonant capacitor, α is the order of the fractional order resonant capacitor, CαIs the capacitance value of the fractional order resonance capacitor.
3. The fractional order class-D voltage resonant inverter of claim 1, wherein: the time domain relation of the voltage and the current of the fractional order resonance inductor satisfies the equation:
the phase relation satisfies:
wherein u isLIs the voltage across a fractional order resonant inductor, iLis the current flowing through the fractional order resonant inductor, β is the order of the fractional order resonant inductor, LβIs the inductance value of the fractional order resonant inductor.
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN118157598A (en) * | 2024-03-29 | 2024-06-07 | 上海励兆科技有限公司 | Power amplifier circuit based on parallel resonance unit |
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN118157598A (en) * | 2024-03-29 | 2024-06-07 | 上海励兆科技有限公司 | Power amplifier circuit based on parallel resonance unit |
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