CN110311585A - Inhibit the non-isolated single-phase photovoltaic grid-connected inverter and control method of common mode current - Google Patents
Inhibit the non-isolated single-phase photovoltaic grid-connected inverter and control method of common mode current Download PDFInfo
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02M—APPARATUS 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
- H02M1/00—Details of apparatus for conversion
- H02M1/12—Arrangements for reducing harmonics from ac input or output
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02M—APPARATUS 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
- H02M7/00—Conversion of ac power input into dc power output; Conversion of dc power input into ac power output
- H02M7/42—Conversion of dc power input into ac power output without possibility of reversal
- H02M7/44—Conversion of dc power input into ac power output without possibility of reversal by static converters
- H02M7/48—Conversion 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
- H02M7/53—Conversion 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
- H02M7/537—Conversion 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
- H02M7/5387—Conversion 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
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02M—APPARATUS 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
- H02M1/00—Details of apparatus for conversion
- H02M1/12—Arrangements for reducing harmonics from ac input or output
- H02M1/123—Suppression of common mode voltage or current
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- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
- Y02E10/00—Energy generation through renewable energy sources
- Y02E10/50—Photovoltaic [PV] energy
- Y02E10/56—Power conversion systems, e.g. maximum power point trackers
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Abstract
The present invention relates to a kind of non-isolated single-phase photovoltaic grid-connected inverters and control method for inhibiting common mode current, inverter is made of four switching tubes, two bridge arms, one switching frequency is that low frequency switch pipe, an inductance and a HF switch pipe for power frequency is composed in series a bridge arm, and power grid connects between two bridge arm midpoints.Compared to traditional full-bridge grid-connected inverter, which moves to filter inductance among inverter leg from grid side, and increases 2 freewheeling diode VD1、VD2.Effectively inhibit leakage current;High efficiency;Power device is easy to protect;Noise when effectively power device being inhibited to turn on and off.Operation result shows that topology of the invention effect in terms of inhibiting leakage current, improving system effectiveness is fine, can substitute currently used HERIC, the schemes such as HBZVR, and market prospects are huge.
Description
Technical field
The present invention relates to a kind of inverter technologies, in particular to a kind of to inhibit the non-isolated single-phase photovoltaic grid-connected of common mode current
Inverter and control method.
Background technique
The topology of single-phase photovoltaic grid-connected inverter generally can be divided into band Industrial Frequency Transformer isolated form and transless is non-isolated
Two kinds of type.Industrial Frequency Transformer weight is big, volume is big, at high cost, and there are multiple conversion stages, reduces system effectiveness.And nothing
Transformer non-isolation type single-phase photovoltaic grid-connected inverter weight is small, small in size, at low cost, and can improve the system effectiveness of 1-2%,
Therefore, non-isolated photovoltaic grid-connected inverter is widely applied.But there is parasitic electricity between photovoltaic array and the earth
Hold, parasitic capacitance both ends common-mode voltage changes, and will generate common mode current;And photovoltaic array and power grid in non-isolation type topology
Between there are direct current path, the leakage current that parasitic capacitance generates increases power network current total harmonic distortion factor (THD), is
Unite electromagnetic interference (EMI), system overall losses, and threatens personnel safety.
In order to reduce leakage current, researcher proposes two class topological structures.First kind topological realization electrical isolation is led to
It crosses and increases additional switching tube, the connection between photovoltaic array and power grid is cut off in freewheeling period, to inhibit system common-mode
Electric current, but due to the presence of switch parasitic capacitance, these topologys can not avoid leakage current completely.Second class topology is by common mode electricity
Pressing tongs position is the half of DC voltage, so that common-mode voltage remains unchanged in switch periods, inhibits common mode electricity to reach
The effect of stream, but this kind of topology introduces additional switching tube, increases cost and complexity, and system loss increases, efficiency
It reduces.
Summary of the invention
The present invention be directed to single-phase photovoltaic grid-connected inverter there are the problem of, propose it is a kind of inhibit common mode current it is non-every
From single-phase photovoltaic grid-connected inverter and control method, has and inhibit leakage current, protection power device, switching tube inhibited to open and close
The functions such as disconnected noise contributions.
The technical solution of the present invention is as follows: a kind of non-isolated single-phase photovoltaic grid-connected inverter for inhibiting common mode current, switch frequency
Rate is the low frequency switch pipe VT of power frequency1Series inductance L1, HF switch pipe VT2After be connected in parallel on photovoltaic array output both ends, afterflow two
Pole pipe VD1It is connected in parallel on concatenated low frequency switch pipe VT1With inductance L1Both ends, freewheeling diode VD1With inductance L1Connecting pin is positive;It opens
Close the low frequency switch pipe VT that frequency is power frequency3Series inductance L2, HF switch pipe VT4After be connected in parallel on photovoltaic array output both ends, continue
Flow diode VD2It is connected in parallel on concatenated low frequency switch pipe VT3With inductance L12Both ends, freewheeling diode VD2With inductance L2Connecting pin is
Just;Low frequency switch pipe VT1With inductance L1Tie point is a, this is the first bridge arm midpoint a;Low frequency switch pipe VT3With inductance L2Connection
Point is b, this is the second bridge arm midpoint b;Power grid connects between two bridge arm midpoints.
The control method of the non-isolated single-phase photovoltaic grid-connected inverter for inhibiting common mode current, by acquiring photovoltaic cell
The output voltage and electric current of plate realize maximal power tracing using variable step perturbation observation method, pass through maximal power tracing algorithm
Obtain the given voltage of inverter DC busDC bus given voltageWith photovoltaic array output voltage UPVIt is inclined
Difference by PI controller obtain photovoltaic array output to constant currentConstant current is given in photovoltaic array outputWith locking phase
The sin θ for the power grid angle, θ that ring obtains is multiplied to obtain inverter current Setting signalGiven value of current signalWith inverter
Export actual current iinvDeviation obtain the voltage Setting signal of rest frame by ratio quasi resonant control
By obtaining the PWM drive signal of inverter, control HF switch pipe work after PWM modulation.
The transmission function of the ratio quasi resonant control are as follows:
K in formulaPFor proportionality coefficient;kiFor integral coefficient;ω0For resonance frequency;ωcFor cutoff frequency.
The beneficial effects of the present invention are: the present invention inhibits non-isolated single-phase photovoltaic grid-connected inverter and the control of common mode current
Method processed, effectively inhibition leakage current;High efficiency;Power device is easy to protect;When effectively power device being inhibited to turn on and off
Noise.Operation result shows that topology of the invention effect in terms of inhibiting leakage current, improving system effectiveness is fine, can substitute
The schemes such as currently used HERIC, HBZVR, market prospects are huge.
Detailed description of the invention
Fig. 1 is the non-isolated single-phase photovoltaic grid-connected inverter topology diagram that the present invention inhibits common mode current;
Fig. 2 is common mode current analyzing equivalent circuit figure of the present invention;
Fig. 3 is the frequency domain characteristic comparison diagram of present invention topology and conventional full bridge topology;
Fig. 4 is the non-isolated single-phase photovoltaic grid-connected inverter control strategy figure that the present invention inhibits common mode current;
Fig. 5 is traditional structure common mode current simulation waveform;
Fig. 6 is the non-isolated single-phase photovoltaic grid-connected inverter common mode current simulation waveform that the present invention inhibits common mode current;
Fig. 7 is the conventional full bridge inverter circuit common mode current waveform diagram of unipolarity modulation;
Fig. 8 is the non-isolated single-phase photovoltaic grid-connected inverter common mode current waveform diagram that the present invention inhibits common mode current.
Specific embodiment
1, photovoltaic combining inverter topology working principle
Inhibit the non-isolated single-phase photovoltaic grid-connected inverter topology diagram of common mode current, low frequency switch pipe as shown in Figure 1
VT1Series inductance L1, HF switch pipe VT2After be connected in parallel on photovoltaic array output both ends, freewheeling diode VD1It is connected in parallel on concatenated
Low frequency switch pipe VT1With inductance L1Both ends, freewheeling diode VD1With inductance L1Connecting pin is positive;Low frequency switch pipe VT3Series inductance
L2, HF switch pipe VT4After be connected in parallel on photovoltaic array output both ends, freewheeling diode VD2It is connected in parallel on concatenated low frequency switch pipe
VT3With inductance L12Both ends, freewheeling diode VD2With inductance L2Connecting pin is positive;Low frequency switch pipe VT1With inductance L1Tie point is
A, this is the first bridge arm midpoint a;Low frequency switch pipe VT3With inductance L2Tie point is b, this is the second bridge arm midpoint b;Power grid connects two
Between bridge arm midpoint.
DC side includes that (output equivalent DC voltage is U to photovoltaic arrayPV) and be connected in parallel on photovoltaic array both ends direct current it is female
Line filter capacitor C1;Inverter is by switching tube VT1-4Composition (is considered as wherein low frequency switch pipe with power frequency switch, to switch frequency
Rate 15kHz switch is considered as HF switch pipe, and HF switch pipe frequency is identical as conventional full bridge gird-connected inverter);Compared to
Traditional full-bridge grid-connected inverter, the topology is by filter inductance L1、L2It is moved among inverter leg from grid side, and increases 2
A freewheeling diode VD1、VD2;Exchange side includes the filter capacitor C for being connected in parallel on inverter output2(network voltage is with power grid
ugrid);Parasitic capacitance CPVBoth ends common-mode voltage is ucm, common mode current icm。
Common-mode voltage is defined as:
If parasitic capacitance CPVBoth ends common-mode voltage changes, then the common mode current i that common mode resonance circuit generatescmAre as follows:
By formula (2) it is found that system leakage current icmWith parasitic capacitance CPVSize, common-mode voltage amplitude ucmVariation, system are opened
It is related to close frequency.And parasitic capacitance CPVSize depends on photovoltaic panel build-in attribute, and switching frequency depends on system performance, general difficult
To change, therefore, reducing the variation of common-mode voltage amplitude becomes the key for inhibiting leakage current.
When network voltage positive half period, low frequency switch pipe VT1Conducting, HF switch pipe VT4With switching frequency on-off;Low frequency
Switching tube VT3With HF switch pipe VT2Disconnect.As HF switch pipe VT4When in the conductive state, the electric current of inverter work
Circuit are as follows: photovoltaic array-low frequency switch pipe VT1- power grid-inductance L2- HF switch pipe VT4- photovoltaic array, then a, b two
Voltage u of the point relative to o pointao1,ubo1Are as follows:
Wherein uL2For inductance L2Both end voltage.
By formula (1), common-mode voltage under 1 state of mode are as follows:
ucm1=(uao1+ubo1)/2=(2UPV-ugrid)/2 (4)
When network voltage positive half period, low frequency switch pipe VT1It remains on, HF switch pipe VT4, low frequency switch pipe VT3
With HF switch pipe VT2When disconnecting, the current loop of inverter work are as follows: low frequency switch pipe VT1- power grid-inductance L2- continuous
Flow diode VD2- low frequency switch pipe VT1.Voltage u of a at this time, the b two o'clock relative to o pointao2,ubo2Are as follows:
uao2=UPV=ugrid+uL2+UPV (5)
ubo2=uL2+UPV
Wherein, for uao2, due to low frequency switch pipe VT1, power grid, inductance L2, freewheeling diode VD2Closed circuit is constituted,
Ignoring switching tube and diode drop can obtain: ugrid+uL2=0, therefore above formula is set up.
Then common-mode voltage under 2 state of mode are as follows:
ucm2=(uao2+ubo2)/2=(2UPV-ugrid)/2 (6)
When network voltage negative half-cycle, low frequency switch pipe VT3Conducting, HF switch pipe VT2With switching frequency on-off;Low frequency
Switching tube VT1With HF switch pipe VT4Disconnect.As HF switch pipe VT2When in the conductive state, the electric current of inverter work
Circuit are as follows: photovoltaic array-low frequency switch pipe VT3- power grid-inductance L1- HF switch pipe VT2- photovoltaic array.A at this time, b
Voltage u of the two o'clock relative to o pointao3,ubo3Are as follows:
Wherein uL1For inductance L1Both end voltage.
Then common-mode voltage under 3 state of mode are as follows:
ucm3=(uao3+ubo3)/2=(2UPV-ugrid)/2 (8)
When network voltage negative half-cycle, low frequency switch pipe VT3It remains on, HF switch pipe VT2, low frequency switch pipe VT1
With HF switch pipe VT4When disconnecting, the current loop of inverter work are as follows: low frequency switch pipe VT3- power grid-inductance L1- continuous
Flow diode VD1- low frequency switch pipe VT3.Voltage u of a at this time, the b two o'clock relative to o pointao4,ubo4Are as follows:
Then common-mode voltage under 4 state of mode are as follows:
ucm4=(uao4+ubo4)/2=(2UPV-ugrid)/2 (10)
As the above analysis, the common-mode voltage Yu DC voltage U of photovoltaic combining inverter topologyPVAnd network voltage
ugridIt is related, and the effect of common-mode voltage can be ignored with the network voltage that mains frequency converts.Therefore, the present invention opens up
The common-mode voltage flutterred is U in switch periodsPV, remain unchanged, solve the critical issue for inhibiting leakage current.
2, from frequency domain angle analysis, by uao,uboIt is equivalent at amplitude be square-wave voltage source;Since switching frequency is much larger than electricity
Net frequency, it is possible to ignore leakage current caused by power grid;DC side is considered as short circuit simultaneously, common mode can be obtained by retaining common mode element
Amperometry equivalent circuit is as shown in Fig. 2, i in figure1,i2Respectively equivalent square wave power uao,uboPlace branch current.Photovoltaic system
There are parasitic capacitance C between system and the earthPV, which passes through inverter and filter element L1、L2、CPVAnd power grid ugridIt constitutes
Common mode resonance circuit, uao,uboRespectively two bridge arm midpoint a, b are to grounding point o point voltage, ucm、icmFor being total to for common mode resonance circuit
Mode voltage and common mode current.Consider uaoIndependent role, by uboIt is considered as short circuit, common mode current i can be obtainedcmaAre as follows:
Wherein ω is network voltage angular frequency.
Similarly uboCommon mode current i when independent rolecmbAre as follows:
Common mode current i can be obtained according to superposition theoremcmAre as follows:
If filter inductance is symmetrical, i.e. L1=L2=L, formula (3) can abbreviations are as follows:
Then from icmTo uao+uboTransmission function are as follows:
The frequency domain characteristic comparison of topology of the invention and conventional full bridge topology is as shown in figure 3, when frequency is greater than 1kHz, this hair
The leakage current of bright topology is lower than the leakage current of conventional full bridge topology, it is seen then that for the working frequency of general inverter, the present invention is opened up
It flutters and effectively inhibits system leakage current.
3, photovoltaic combining inverter control strategy
Inhibit the non-isolated single-phase photovoltaic grid-connected inverter control strategy figure of common mode current as shown in Figure 4, it is grid-connected inverse
The control mode for becoming device output electric current mainly includes current hysteresis-band control and sinusoidal pulse width modulation control.Stagnant ring method control letter
List, dynamic property are good, but export switching frequency and be not fixed, the difficult design of output filter.And sinusoidal pulse width modulation controlling party
Formula switching frequency is fixed, and is conducive to the design of output filter, output current harmonics content is small, but dynamic response is slower.Therefore,
The present invention uses sinusoidal pulse width modulation control mode, realizes effective control of single-phase photovoltaic grid-connected inverter output electric current of the present invention
System.Inverter uses double-loop control strategy, outer voltage stable DC busbar voltage, and current inner loop is realized to grid-connected current phase
The control of position and grid-connected quality, is illustrated in fig. 4 shown below.
By acquire photovoltaic battery panel output voltage and electric current, using variable step perturbation observation method realize maximum power with
Track (MPPT) obtains the given voltage of inverter DC bus by MPPT algorithmDC bus given voltageWith
Photovoltaic array output voltage UPVDeviation by PI controller obtain photovoltaic array output to constant currentPhotovoltaic array is defeated
Out give constant currentThe sin θ of the power grid angle, θ obtained with phaselocked loop is multiplied to obtain inverter current Setting signalElectricity
Stream is givenActual current i is exported with inverterinvDeviation obtain rest frame by ratio quasi-resonance (PQR) controller
Voltage Setting signalBy obtaining the PWM drive signal of inverter, control HF switch pipe work after PWM modulation.
According to Classical control theory it is found that PI control is difficult to reach ideal control effect to of ac (grid-connected current),
There are problems that steady-state error.Ratio resonance (PR) control based on internal model principle solves of ac control, and there are steady-state errors
The problem of.In systems in practice, the realization of PR controller has the following problems: due to by simulation system component parameter precision and
The limitation of digital display circuit precision, PR controller are not easily accomplished.Therefore PQR controller is used in the present system, controller
Transmission function are as follows:
In formula: kPFor proportionality coefficient;kiFor integral coefficient;ω0For resonance frequency;ωcFor cutoff frequency.
Cutoff frequency ω is addedcExpand the bandwidth of resonant controller, reduces preferable controller resonance frequency is changed
Susceptibility, improve the stability of control system.
Conventional full bridge topology and New Topological proposed by the present invention for unipolarity modulation, build in Matlab respectively
Simulation model.Wherein, photovoltaic array is modeled as open-circuit voltage 480V, the power supply of short circuit current 9A;DC bus capacitor is 2000 μ F;
Exchange side filter inductance, capacitor is respectively 3mH, 4.7 μ F;Network voltage virtual value is 220V;Inverter switching frequency is
15kHz;Parasitic capacitance between photovoltaic array and the earth is modeled as 200nF capacitor.Simulation result is as shown in Figure 5,6.For list
The conventional full bridge topology of polar modulation, parasitic capacitance CPVBoth ends common-mode voltage amplitude is constantly changed with switching frequency, therefore altogether
Mould resonant tank generates biggish common mode current, as shown in figure 5, up to 0.2A.And the common mode of New Topological proposed by the present invention
Voltage remains unchanged in switch periods, effectively inhibits common mode current, and common mode current simulation result is as shown in fig. 6, common mode is electric
Stream is can be controlled within 50mA.
Meanwhile the 3kVA experimental prototype based on DSPTMS320F2808 has been built, photovoltaic array uses programmable simulation
DC power supply TopCon Quadro, the open-circuit voltage of the analog power is 480V, short circuit current 9A, experiment ginseng in this system
Number is as shown in table 1.For the conventional full bridge inverter circuit and photovoltaic grid-connected inversion circuit common mode current of the present invention of unipolarity modulation
Size, experimental result is as shown in Figure 7,8, and the common mode current of the conventional full bridge topology of unipolarity modulation is up to 164mA, and this hair
The common mode current of bright topology is can be controlled within 96mA, effectively inhibits system leakage current, and the grid-connected current of inverter output
Phase is consistent with electric network voltage phase, realizes unity power factor.
Table 1
The present invention effectively inhibits leakage current, VT1、VT3Work guarantees any moment in power frequency, solar energy module and power grid it
Between be directly connected to so that the voltage change in parasitic capacitance be power frequency, it is suppressed that leakage current.
High efficiency is modulated using single-polarity PWM, VT2、VT4Work can be used MOSFET and make switching loss on high frequency
It is minimum.VT1、VT3Work makes conduction loss minimum in power frequency, using low saturation voltage drop IGBT.Freewheel current flows only through VD1、
VD2, SiC diode is such as used, the reverse recovery loss of diode can be substantially reduced.
Power device is easy to protect, the device VT of upper bridge1、VT3With the device VT of lower bridge2、VT4Between due to there is filtered electrical
Sense, even if failing, electric current will not be increased rapidly, and system has the sufficient time to be protected.
The device VT of upper bridge1、VT3With the device VT of lower bridge2、VT4Between due to there is filter inductance, effectively inhibit power
Noise contributions when device turns on and off.
Claims (3)
1. a kind of non-isolated single-phase photovoltaic grid-connected inverter for inhibiting common mode current, which is characterized in that switching frequency is power frequency
Low frequency switch pipe VT1Series inductance L1, HF switch pipe VT2After be connected in parallel on photovoltaic array output both ends, freewheeling diode VD1And
It is associated in concatenated low frequency switch pipe VT1With inductance L1Both ends, freewheeling diode VD1With inductance L1Connecting pin is positive;Switching frequency is
The low frequency switch pipe VT of power frequency3Series inductance L2, HF switch pipe VT4After be connected in parallel on photovoltaic array output both ends, freewheeling diode
VD2It is connected in parallel on concatenated low frequency switch pipe VT3With inductance L12Both ends, freewheeling diode VD2With inductance L2Connecting pin is positive;Low frequency
Switching tube VT1With inductance L1Tie point is a, this is the first bridge arm midpoint a;Low frequency switch pipe VT3With inductance L2Tie point is b, this
For the second bridge arm midpoint b;Power grid connects between two bridge arm midpoints.
2. inhibit the control method of the non-isolated single-phase photovoltaic grid-connected inverter of common mode current according to claim 1, it is special
Sign is, by acquiring the output voltage and electric current of photovoltaic battery panel, using variable step perturbation observation method realize maximum power with
Track obtains the given voltage of inverter DC bus by maximal power tracing algorithmDC bus given voltageWith
Photovoltaic array output voltage UPVDeviation by PI controller obtain photovoltaic array output to constant currentPhotovoltaic array is defeated
Out give constant currentThe sin θ of the power grid angle, θ obtained with phaselocked loop is multiplied to obtain inverter current Setting signalElectricity
Flow Setting signalActual current i is exported with inverterinvDeviation obtain rest frame by ratio quasi resonant control
Voltage Setting signal By obtaining the PWM drive signal of inverter, control HF switch pipe work after PWM modulation.
3. inhibit the control method of the non-isolated single-phase photovoltaic grid-connected inverter of common mode current according to claim 2, it is special
Sign is, the transmission function of the ratio quasi resonant control are as follows:
K in formulaPFor proportionality coefficient;kiFor integral coefficient;ω0For resonance frequency;ωcFor cutoff frequency.
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Cited By (3)
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CN111262463A (en) * | 2020-03-11 | 2020-06-09 | 杭州禾迈电力电子技术有限公司 | Inversion topological structure of micro-inversion system |
CN115513993A (en) * | 2022-07-19 | 2022-12-23 | 四川大学 | Leakage current suppression double modulation wave modulation method based on non-isolated photovoltaic inverter |
CN117318454A (en) * | 2023-11-28 | 2023-12-29 | 锦浪科技股份有限公司 | Low-frequency common-mode leakage current suppression method |
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CN115513993B (en) * | 2022-07-19 | 2024-05-28 | 四川大学 | Leakage current-inhibiting dual-modulation wave modulation method based on non-isolated photovoltaic inverter |
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