CN110138250A - A kind of switching capacity N electrical level inverter and its modulator approach - Google Patents

A kind of switching capacity N electrical level inverter and its modulator approach Download PDF

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Publication number
CN110138250A
CN110138250A CN201910398262.0A CN201910398262A CN110138250A CN 110138250 A CN110138250 A CN 110138250A CN 201910398262 A CN201910398262 A CN 201910398262A CN 110138250 A CN110138250 A CN 110138250A
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switching
switching tube
switching capacity
inverter
capacitor
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CN110138250B (en
Inventor
王要强
周成龙
李忠文
海德伦
王金凤
章健
梁军
王凯歌
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Zhengzhou University
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Zhengzhou University
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Classifications

    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02MAPPARATUS FOR CONVERSION BETWEEN AC AND AC, BETWEEN AC AND DC, OR BETWEEN DC AND DC, AND FOR USE WITH MAINS OR SIMILAR POWER SUPPLY SYSTEMS; CONVERSION OF DC OR AC INPUT POWER INTO SURGE OUTPUT POWER; CONTROL OR REGULATION THEREOF
    • H02M7/00Conversion of ac power input into dc power output; Conversion of dc power input into ac power output
    • H02M7/42Conversion of dc power input into ac power output without possibility of reversal
    • H02M7/44Conversion of dc power input into ac power output without possibility of reversal by static converters
    • H02M7/48Conversion of dc power input into ac power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode
    • H02M7/483Converters with outputs that each can have more than two voltages levels
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02MAPPARATUS FOR CONVERSION BETWEEN AC AND AC, BETWEEN AC AND DC, OR BETWEEN DC AND DC, AND FOR USE WITH MAINS OR SIMILAR POWER SUPPLY SYSTEMS; CONVERSION OF DC OR AC INPUT POWER INTO SURGE OUTPUT POWER; CONTROL OR REGULATION THEREOF
    • H02M7/00Conversion of ac power input into dc power output; Conversion of dc power input into ac power output
    • H02M7/42Conversion of dc power input into ac power output without possibility of reversal
    • H02M7/44Conversion of dc power input into ac power output without possibility of reversal by static converters
    • H02M7/48Conversion of dc power input into ac power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode
    • H02M7/483Converters with outputs that each can have more than two voltages levels
    • H02M7/4835Converters with outputs that each can have more than two voltages levels comprising two or more cells, each including a switchable capacitor, the capacitors having a nominal charge voltage which corresponds to a given fraction of the input voltage, and the capacitors being selectively connected in series to determine the instantaneous output voltage
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02MAPPARATUS FOR CONVERSION BETWEEN AC AND AC, BETWEEN AC AND DC, OR BETWEEN DC AND DC, AND FOR USE WITH MAINS OR SIMILAR POWER SUPPLY SYSTEMS; CONVERSION OF DC OR AC INPUT POWER INTO SURGE OUTPUT POWER; CONTROL OR REGULATION THEREOF
    • H02M7/00Conversion of ac power input into dc power output; Conversion of dc power input into ac power output
    • H02M7/42Conversion of dc power input into ac power output without possibility of reversal
    • H02M7/44Conversion of dc power input into ac power output without possibility of reversal by static converters
    • H02M7/48Conversion of dc power input into ac power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode
    • H02M7/53Conversion of dc power input into ac power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal
    • H02M7/537Conversion of dc power input into ac power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal using semiconductor devices only, e.g. single switched pulse inverters
    • H02M7/5387Conversion of dc power input into ac power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal using semiconductor devices only, e.g. single switched pulse inverters in a bridge configuration
    • H02M7/53871Conversion of dc power input into ac power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal using semiconductor devices only, e.g. single switched pulse inverters in a bridge configuration with automatic control of output voltage or current
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02MAPPARATUS FOR CONVERSION BETWEEN AC AND AC, BETWEEN AC AND DC, OR BETWEEN DC AND DC, AND FOR USE WITH MAINS OR SIMILAR POWER SUPPLY SYSTEMS; CONVERSION OF DC OR AC INPUT POWER INTO SURGE OUTPUT POWER; CONTROL OR REGULATION THEREOF
    • H02M1/00Details of apparatus for conversion
    • H02M1/0067Converter structures employing plural converter units, other than for parallel operation of the units on a single load
    • H02M1/007Plural converter units in cascade

Abstract

The present invention provides a kind of switching capacity N electrical level inverter and its modulator approach, inverter includes single direct-current input power supplying, switching capacity unit and full bridge unit;The switching capacity unit is connected in parallel with the single direct-current input power supplying, for carrying out the series-parallel conversion between the single direct-current input power supplying and the capacitor of the switching capacity unit, and exports multi-ladder voltage;The full bridge unit is connected in parallel with the switching capacity unit, and the multi-ladder voltage for exporting to the switching capacity unit exports after carrying out positive-negative polarity conversion.Modulation strategy uses the staircase waveform particular harmonic eliminated based on particular harmonic and combined with Staircase wave to eliminate modulation system.Inverter of the present invention exports any level by the modular construction of expansion switch capacitor submodule, and the quantity of power device of inverter is greatly reduced by more succinct modular construction.

Description

A kind of switching capacity N electrical level inverter and its modulator approach
Technical field
The present invention relates to transformation of electrical energies and new energy distributed grid-connected power field, specifically, relate to a kind of switch Capacitor N electrical level inverter and its modulator approach.
Background technique
The energy is valuable source for the survival of mankind.However, as the mankind constantly exploit utilization, traditional fossil energy Face exhaustion because its reserves is limited, the energy crisis in global range is showing, and people to fossil energy without restraint It exploits and utilizes and also bring serious problem of environmental pollution.Therefore, rich reserves, cleanliness without any pollution can be in the exploitation of the raw energy Using receiving worldwide concern.
Can be in raw energy electricity generation system, electronic power inverter be the key link of its transformation of electrical energy and transmission, electricity Power electronic inverter has important influence to the working performance of whole system, inversion efficiency and system reliability etc.. Multi-electrical level inverter has low harmonic wave of output voltage content, output power quality height, switching device voltage stress low and needs It is the advantages that lesser output filter, with important application prospects in renewable energy combined generating system.
In recent years, switched capacitor technique has a wide range of applications in multi-electrical level inverter.By switched capacitor technique application Into multi-electrical level inverter, for improving multi-electrical level inverter voltage regulation capability, the inverter scope of application is widened, realizes inversion Device miniaturization, integrated, efficient development have important research significance.However existing switching capacity multi-electrical level inverter topology knot Structure is fixed, and transformation is single, not can be carried out the extension of structure, output level number is few;How electric some existing expansible switching capacities are Number of devices needed for flat inverter is more, and device voltage stress is big, and which has limited its application ranges, therefore finds a kind of extension spirit Novel inverter living, number of devices is few, voltage stress is low is of great significance.
In order to solve the above problems, people are seeking always a kind of ideal technical solution.
Summary of the invention
The purpose of the present invention is in view of the deficiencies of the prior art, to provide a kind of switching capacity N electrical level inverter, this hair It is bright to additionally provide the modulator approach of switching capacity N electrical level inverter.
To achieve the goals above, the technical scheme adopted by the invention is that: a kind of switching capacity N electrical level inverter, packet Include single direct-current input power supplying, switching capacity unit and full bridge unit;
The switching capacity unit is connected in parallel with the single direct-current input power supplying, for carrying out the single direct current Series-parallel conversion between input power and the capacitor of the switching capacity unit, and export multi-ladder voltage;
The full bridge unit is connected in parallel with the switching capacity unit, for what is exported to the switching capacity unit Multi-ladder voltage exports after carrying out positive-negative polarity conversion.
Based on above-mentioned, the switching capacity unit includes the multiple-pole switch capacitor submodule of switching capacity basic module and concatenation Block;
The switching capacity basic module includes switching tube S1.1、S1.2、S1.3、S1.4, capacitor C1, diode D0
The switching capacity submodule includes a capacitor CiWith two switching tube Si.1、Si.2, i >=2;
The switching tube Si.1Input terminal and prime switching capacity submodule switching tube S(i-1).1And rear class switch electricity Hold the switching tube S of submodule(i+1).1Input terminal be connected, the switching tube Si.1Output end and the capacitor CiAnode with And the switching tube S of rear class switching capacity submodule(i+1).2Input terminal be connected, the capacitor CiCathode and the switching tube Si.2Output end be connected, the switching tube Si.2Input terminal and prime switching capacity submodule switching tube S(i-1).1It is defeated The capacitor C of outlet and prime switching capacity submodulei-1Anode be connected;
Anode and the switching tube S of the single direct-current input power supplying1.3、S1.2Input terminal be connected, it is described single The cathode of direct-current input power supplying and the switching tube S1.4Output end be connected, the switching tube S1.3Output end connection described in Diode D0Anode, the diode D0Cathode connect the switching tube S1.1Input terminal, the switching tube S1.4Input End respectively with the switching tube S1.2Output end and the capacitor CiCathode be connected.
A kind of modulator approach of the switching capacity N electrical level inverter is determined according to the output level number of the inverter The control signal of each switching device in the inverter, the control signal are determined by 2n square wave, comprising:
Output voltage waveforms VoutBy the square wave V of 2n SymmetricaloiIt is formed by stacking, it may be assumed that
The amplitude of each square wave and initial turn-on angle are respectively ± Vdc/ n and θi, and 0 < θ1< ... < θi< ... < θ2n< π/2;
Square wave VoiFourier expansion formula indicate are as follows:
Output voltage VoutFourier expansion formula indicate are as follows:
Fundamental voltage amplitude modulation degree MofAre as follows:
Total harmonic distortion (THD) of output waveform are as follows:
The harmonic wave that specific order in staircase waveform is eliminated using particular harmonic null method, calculates the switching angle of staircase waveform, switchs Angle group of equations are as follows:
The present invention has substantive distinguishing features outstanding and significant progress compared with the prior art, and specifically, the present invention mentions Supply a kind of switching capacity N electrical level inverter and its modulator approach, the switching capacity N electrical level inverter powered-down by spreading The modular construction for holding submodule exports any level, greatly reduces inverter power device by more succinct modular construction The quantity of part, with output level is more, number of devices is few, switching device voltage stress is low, single supply inputs and independent utility In the inductive load the advantages of.
Detailed description of the invention
Fig. 1 is the topological structure block diagram of inverter of the embodiment of the present invention.
Fig. 2 (a) is the operating current access schematic diagram of mode 1 when inverter of the embodiment of the present invention exports 13 level.
Fig. 2 (b) is the operating current access schematic diagram of mode 2 when inverter of the embodiment of the present invention exports 13 level.
Fig. 2 (c) is the operating current access schematic diagram of mode 3 when inverter of the embodiment of the present invention exports 13 level.
Fig. 2 (d) is the operating current access schematic diagram of mode 4 when inverter of the embodiment of the present invention exports 13 level.
Fig. 2 (e) is the operating current access schematic diagram of mode 5 when inverter of the embodiment of the present invention exports 13 level.
Fig. 2 (f) is the operating current access schematic diagram of mode 6 when inverter of the embodiment of the present invention exports 13 level.
Fig. 2 (g) is the operating current access schematic diagram of mode 7 when inverter of the embodiment of the present invention exports 13 level.
Fig. 3 is the modulation strategy schematic diagram of inverter of the embodiment of the present invention.
Fig. 4 is the schematic diagram of the control signal and inverter output level of switching tube in the embodiment of the present invention.
Fig. 5 (a) is the waveform diagram of inverter output voltage of the embodiment of the present invention.
Fig. 5 (b) is inverter of embodiment of the present invention load current waveform figure.
Specific embodiment
In order to make the object, technical scheme and advantages of the embodiment of the invention clearer, below in the embodiment of the present invention Technical solution carries out clear and complete description, but the present invention is not limited to these embodiments:
A kind of switching capacity N electrical level inverter, inverter topology is as shown in Figure 1, include single direct-current input power supplying Vdc, switching capacity unit 1 and full bridge unit 2;
The switching capacity unit 1, with the single direct-current input power supplying VdcIt is connected in parallel, it is described single straight for carrying out Flow input power VdcSeries-parallel conversion between the capacitor of the switching capacity unit 1, and export multi-ladder voltage;
The full bridge unit 2 is connected in parallel with the switching capacity unit 1, for exporting to the switching capacity unit 1 Multi-ladder voltage carry out positive-negative polarity conversion after export.
Specifically, the multiple-pole switch capacitor submodule that the switching capacity unit includes and concatenates;
The switching capacity basic module includes switching tube S1.1、S1.2、S1.3、S1.4, capacitor C1, diode D0
The switching capacity submodule includes a capacitor CiWith two switching tube Si.1、Si.2, i >=2;
The switching tube Si.1Input terminal and prime switching capacity submodule switching tube S(i-1).1And rear class switch electricity Hold the switching tube S of submodule(i+1).1Input terminal be connected, the switching tube Si.1Output end and the capacitor CiAnode with And the switching tube S of rear class switching capacity submodule(i+1).2Input terminal be connected, the capacitor CiCathode and the switching tube Si.2Output end be connected, the switching tube Si.2Input terminal and prime switching capacity submodule switching tube S(i-1).1It is defeated The capacitor C of outlet and prime switching capacity submodulei-1Anode be connected;
Anode and the switching tube S of the single direct-current input power supplying1.3、S1.2Input terminal be connected, it is described single The cathode of direct-current input power supplying and the switching tube S1.4Output end be connected, the switching tube S1.3Output end connection described in Diode D0Anode, the diode D0Cathode connect the switching tube S1.1Input terminal, the switching tube S1.4Input End respectively with the switching tube S1.2Output end and the capacitor CiCathode be connected.
By expansion switch capacitor submodule, the present embodiment inverter structure can export any level: 0, ± Vdc/n、… ±iVdc/n、…±2Vdc(i=1,2 ... n);Relationship between inverter output level number and capacitor are as follows: Nlevel=4n+1.
For the ease of analysis, Fig. 2 gives inverter working condition special case when the present embodiment inverter exports 13 level, Fig. 2 (a)~(g) is respectively the operating current access schematic diagram of positive half cycle when the present embodiment inverter exports 13 level.It is real in figure Line indicates that current flow paths when electric current forward direction, dotted line indicate current flow paths when electric current is reversed.The each work of inverter The principle Analysis for making state is as follows:
Mode 1: as shown in Fig. 2 (a).In Switch capacitor structure, switching tube S7、S9、S11、S12Conducting, rest switch pipe close It is disconnected, the single direct-current input power supplying VdcSeries capacitance C1、C2、C3Generate 2VdcPositive step voltage;It is switched in full-bridge circuit Pipe S1、S4Conducting, S2、S3Shutdown, inverter output level are+2Vdc
Mode 2: as shown in Fig. 2 (b).In Switch capacitor structure, switching tube S7、S9、S10Conducting, the shutdown of rest switch pipe, The single direct-current input power supplying VdcSeries capacitance C1、C2Generate 5Vdc/ 3 positive step voltage;Switching tube in full-bridge circuit S1、S4Conducting, S2、S3Shutdown, inverter output level are+5Vdc/3。
Mode 3: as shown in Fig. 2 (c).In Switch capacitor structure, switching tube S6、S7Conducting, the shutdown of rest switch pipe are described Single direct-current input power supplying VdcSeries capacitance C1Generate 4Vdc/ 3 positive step voltage;Switching tube S in full-bridge circuit1、S4It leads It is logical, S2、S3Shutdown, inverter output level are+4Vdc/3。
Mode 4: as shown in Fig. 2 (d).In Switch capacitor structure, switching tube S5、S8、S12Conducting, the shutdown of rest switch pipe, The single direct-current input power supplying VdcTo concatenated capacitor C1、C2、C3Charging;On the other hand, direct-current input power supplying passes through full-bridge electricity The switching tube S on road1、S4To load supplying, inverter output level is+Vdc
Mode 5: as shown in Fig. 2 (e).In Switch capacitor structure, switching tube S8、S9、S10Conducting, the shutdown of rest switch pipe, Capacitor C under this state1With C2Discharged in series generates 2Vdc/ 3 positive step voltage;Switching tube S in full-bridge circuit1、S4Conducting, S2、S3Shutdown, inverter output level are+2Vdc/3。
Mode 6: as shown in Fig. 2 (f).In Switch capacitor structure, switching tube S6、S8Conducting, the shutdown of rest switch pipe, this shape Capacitor C under state1Electric discharge generates Vdc/ 3 positive step voltage;Switching tube S in full-bridge circuit1、S4Conducting, S2、S3Shutdown, inversion Device output level is+Vdc/3。
Mode 7: as shown in Fig. 2 (g).In Switch capacitor structure, switching tube S5、S8、S12Conducting, the shutdown of rest switch pipe, The single direct-current input power supplying VdcTo concatenated capacitor C1、C2、C3Charging;Switching tube S in full-bridge circuit2、S4Conducting is constituted and is closed Continuous current circuit is closed, inverter output level is 0.
When inverter work is in mode 8, mode 9, mode 10, mode 11, mode 12, mode 13, inverter switching device is electric The working condition of appearance structure respectively corresponds identical with mode 6, mode 5, mode 4, mode 3, mode 2, the working condition of mode 1. Switching tube S in full-bridge circuit2、S3Conducting, S1、S4Shutdown, inverter export negative half-cycle level-Vdc/3、-2Vdc/3、-Vdc、- 4Vdc/3、-5Vdc/3、-2Vdc
With the increase of output level quantity, the maximum voltage stress that any switching tube is born in the inverter is always Twice of input voltage, switch tube voltage stress are low.
All operation modes of inverter have reversed continuous current circuit corresponding with its forward current access, the inversion Device can be applied independently in inductive load, provide reactive power.
Fig. 3 shows the modulation strategy schematic diagram when inverter exports 13 level, in every kind of operation mode of inverter Under, for each switching tube, modulation strategy is selected, so that the control signal of each switching tube is obtained, according to control signal control Each switching tube is to realize the output of inverter.Fig. 4 show in a duty cycle control signal of each switching tube with The relational graph of inverter output level.
The modulation strategy of the inverter, which is used, eliminates the ladder baud combined with Staircase wave based on particular harmonic Determine Harmonics elimination modulation system.Staircase wave is based on Waveform composition principle, is superimposed to form staircase waveform using multiple square waves, inversion The switching frequency of device switching device always works in fundamental frequency;When particular harmonic null method passes through the conducting of control switch device The output harmonic wave for eliminating specific order is carved, the harmonic content of output voltage is reduced, improves output waveform quality.Based on particular harmonic It eliminates and the combination of Staircase wave, staircase waveform particular harmonic elimination modulation scheme can be effectively reduced inverter output voltage The switching frequency of harmonic content and switching device improves the working performance of inverter.
For the N electrical level inverter, it is based on Waveform composition principle, output voltage waveforms VoutIt is a positive and negative that 2n can be regarded as Symmetrical square wave VoiIt is formed by stacking, it may be assumed that
The amplitude of each square wave and initial turn-on angle are respectively ± Vdc/ n and θi, and 0 < θ1< ... < θi< ... < θ2n< π/2。
Square wave VoiFourier expansion formula may be expressed as:
Output voltage VoutFourier expansion formula may be expressed as:
Fundamental voltage amplitude modulation degree MofAre as follows:
Total harmonic distortion (THD) of output waveform are as follows:
The harmonic wave that specific order in staircase waveform is eliminated using particular harmonic null method, calculates the switching angle of staircase waveform, can Reduce the harmonic content of output staircase waveform, switching angle group of equations are as follows:
The inverter is modulated according to above-mentioned modulation system, Fig. 5 (a), (b) are inverter of the present invention output The output voltage of inverter and load current example waveform when 13 level, inverter output voltage is ideal 13 electricity in Fig. 5 (a) Flat staircase waveform, load current is smooth sinusoidal waveform in Fig. 5 (b).
Finally it should be noted that: the above embodiments are merely illustrative of the technical scheme of the present invention and are not intended to be limiting thereof;To the greatest extent The present invention is described in detail with reference to preferred embodiments for pipe, it should be understood by those ordinary skilled in the art that: still It can modify to a specific embodiment of the invention or some technical features can be equivalently replaced;Without departing from this hair The spirit of bright technical solution should all cover within the scope of the technical scheme claimed by the invention.

Claims (6)

1. a kind of switching capacity N electrical level inverter, it is characterised in that: including single direct-current input power supplying, switching capacity unit and Full bridge unit;
The switching capacity unit is connected in parallel with the single direct-current input power supplying, for carrying out the single direct current input Series-parallel conversion between power supply and the capacitor of the switching capacity unit, and export multi-ladder voltage;
The full bridge unit is connected in parallel with the switching capacity unit, multistage for exporting to the switching capacity unit Terraced voltage exports after carrying out positive-negative polarity conversion.
2. switching capacity N electrical level inverter according to claim 1, it is characterised in that: the switching capacity unit includes The multiple-pole switch capacitor submodule of switching capacity basic module and concatenation;
The switching capacity basic module includes switching tube S1.1、S1.2、S1.3、S1.4, capacitor C1, diode D0
The switching capacity submodule includes a capacitor CiWith two switching tube Si.1、Si.2, i >=2;
The switching tube Si.1Input terminal and prime switching capacity submodule switching tube S(i-1).1And rear class switching capacity The switching tube S of module(i+1).1Input terminal be connected, the switching tube Si.1Output end and the capacitor CiAnode and after The switching tube S of grade switching capacity submodule(i+1).2Input terminal be connected, the capacitor CiCathode and the switching tube Si.2's Output end is connected, the switching tube Si.2Input terminal and prime switching capacity submodule switching tube S(i-1).1Output end And the capacitor C of prime switching capacity submodulei-1Anode be connected;
Anode and the switching tube S of the single direct-current input power supplying1.3、S1.2Input terminal be connected, the single direct current The cathode of input power and the switching tube S1.4Output end be connected, the switching tube S1.3Output end connect two pole Pipe D0Anode, the diode D0Cathode connect the switching tube S1.1Input terminal, the switching tube S1.4Input terminal point Not with the switching tube S1.2Output end and the capacitor CiCathode be connected.
3. switching capacity N electrical level inverter according to claim 2, it is characterised in that: the full bridge unit includes switch Pipe S1、S2、S3And S4, the switching tube S1And S3Input terminal and the switching capacity unit switching tube Sn.1It is connected, it is described Switching tube S2And S4Output end and the switching tube S1.4Connection, the switching tube S1Output end and the switching tube S2It is defeated Enter the anode that end is connected to the inverter output end, the switching tube S3Output end and the switching tube S4Input terminal connect Connect the cathode as the inverter output end.
4. switching capacity N electrical level inverter according to claim 3, it is characterised in that: each switching tube is distinguished reversely simultaneously Join a freewheeling diode.
5. switching capacity N electrical level inverter according to claim 4, it is characterised in that: switching capacity N electrical level inverter Export any level 0, ± Vdc/n、…±iVdc/n、…±2Vdc(i=1,2 ... n), wherein inverter output level number and electricity Relationship between appearance are as follows: Nlevel=4n+1, n are capacitor number.
6. the modulator approach of switching capacity N electrical level inverter described in a kind of claim 5, it is characterised in that: according to the inversion The output level number of device determines that the control signal of each switching device in the inverter, the control signal are true by 2n square wave It is fixed, comprising:
Output voltage waveforms VoutBy the square wave V of 2n SymmetricaloiIt is formed by stacking, it may be assumed that
The amplitude of each square wave and initial turn-on angle are respectively ± Vdc/ n and θi, and 0 < θ1< ... < θi< ... < θ2n< pi/2;
Square wave VoiFourier expansion formula indicate are as follows:
Output voltage VoutFourier expansion formula indicate are as follows:
Fundamental voltage amplitude modulation degree MofAre as follows:
Total harmonic distortion (THD) of output waveform are as follows:
The harmonic wave that specific order in staircase waveform is eliminated using particular harmonic null method, calculates the switching angle of staircase waveform, switching angle meter Calculate equation group are as follows:
CN201910398262.0A 2019-05-14 2019-05-14 Switched capacitor N-level inverter and modulation method thereof Active CN110138250B (en)

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