CN108964084A - The improved belt of multi-machine parallel connection system hinders filter high-frequency oscillation suppression method - Google Patents
The improved belt of multi-machine parallel connection system hinders filter high-frequency oscillation suppression method Download PDFInfo
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/24—Arrangements for preventing or reducing oscillations of power in networks
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/01—Arrangements for reducing harmonics or ripples
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
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Abstract
The invention discloses a kind of improved belts of multi-machine parallel connection system to hinder filter high-frequency oscillation suppression method, this method introduces modified bandstop filter in net side inductor current feedback, modified bandstop filter has certain notch depth at characteristic frequency, while the phase angular displacement introduced is relatively small.After modified bandstop filter, fundamental frequency component can greatly be decayed in net side inductive current, and other frequency components almost can nondestructively pass through, other current components in addition to power frequency extracted are for impedance remodeling control, the harmonic current for not only effectively inhibiting multi-machine parallel connection flows into power grid, it avoids the high frequency oscillation phenomenon of impedance network from occurring, and improves the Phase margin of system, guarantee system enough stabilizations and preferable dynamic property under weak grid.
Description
Technical field
The present invention relates to the modified bandstop filter of new energy distributed power generation field, especially multi-machine parallel connection system is high
Frequency oscillation suppression method.
Background technique
There are contradictions between the power demand that the increasingly depleted and mankind of traditional energy more expand, so that new energy is opened
It sends out and utilizes and obtain countries in the world most attention.New energy alleviates traditional energy with its low-carbon, sustainable unique advantage
Tense situation promotes power grid harmonious development.Therefore, using solar energy as the new energy of representative stepped into Rapid development stage and
As domestic the third-largest main force's power supply.
" scale sporadic development, low pressure access, on-site elimination " is mainly presented for generation of electricity by new energy and " extensive concentrate is opened
Hair, mesohigh access, high pressure send consumption outside at a distance " two ways.The latter is excellent with its exclusive high efficiency and centralized management etc.
Gesture becomes the important trend of generation of electricity by new energy industry.The system structure that new energy power station uses multi-machine parallel connection to network, can improve
The output power and fault redundance of generation of electricity by new energy are run, and are able to achieve distributing rationally for gird-connected inverter capacity.
However, in large-scale new energy power station, on the one hand due to longer electric line and more isolating transformer
Will lead to electric network impedance can not ignore.On the other hand when multimachine is connected to same power grid point of common coupling, any parallel network reverse
Device can increase with inverter number in the corresponding power grid equivalent impedance of point of common coupling and be increased.At this point, due to inverter side and
The distributed impedances network that the presence of grid side harmonic wave, multimachine and power grid are formed at point of common coupling will necessarily be by harmonic source
It motivates and reciprocation occurs, the high frequency oscillation phenomenon between large-scale new energy power station and power grid may be caused, threaten large size
The safe and stable operation of new energy power station.
Summary of the invention
The technical problem to be solved by the present invention is in view of the shortcomings of the prior art, provide a kind of changing for multi-machine parallel connection system
Into type bandstop filter higher-order of oscillation suppressing method, the harmonic current for effectively inhibiting multi-machine parallel connection flows into power grid, avoids impedance
The high frequency oscillation phenomenon of network occurs.
In order to solve the above technical problems, the technical scheme adopted by the invention is that: the improved belt resistance of multi-machine parallel connection system
Filter high-frequency oscillation suppression method comprising following steps:
1) by taking d axis as an example, j=1,2 ..., n, by DC voltage UdcjWith DC voltage reference value UdcrefjSubtract each other, obtains
To difference euj；
2) by difference eujWith the transmission function G of outer voltage PI controlleruIt is multiplied, obtains the reference of d axis net side inductive current
Value iodrefj；
3) by d axis net side inductive current reference value iodrefjWith (1+Hmfj)×iodjSubtract each other, obtains difference eij, wherein iodj
It is d axis net side inductive current, HmfjIt is the feedback factor of d axis net side inductive current；
4) by difference eijWith the transmission function G of current inner loop PI controlleriIt is multiplied, obtains d axis duty ratio Ddj；
5) by d axis duty ratio DdjWith the equivalent gain G of inverterPWMIt is multiplied, obtains d axis inverter output voltage uinvdj；
6) by d axis inverter output voltage uinvdjWith d axis filter capacitor voltage uC1djSubtract each other, obtains d axis inverter side electricity
Electrification presses uL1dj；
7) by d axis inverter side inductive drop uL1djWith the admittance 1/Z of inverter side inductanceL1jIt is multiplied, obtains d axis inversion
Device side inductive current iL1dj, wherein ZL1jIt is the impedance of inverter side inductance, ZL1j=sL1j+RL1j, L1jIt is inverter side inductance,
RL1jIt is the dead resistance of inverter side inductance, s=j ω, j are imaginary part unit symbols, and ω is electrical network angular frequency；
8) by d axis inverter side inductive current iL1djWith d axis net side inductive current iodjSubtract each other, obtains d axis filter capacitor electricity
Flow iC1dj；
9) by d axis filter capacitor electric current iC1djWith the impedance Z of filter capacitorC1jIt is multiplied, obtains d axis filter capacitor voltage
uC1dj, wherein ZC1jIt is the impedance of filter capacitor, ZC1j=1/sC1j, C1jIt is filter capacitor；
10) by d axis filter capacitor voltage uC1djWith d axis point of common coupling voltage uPCCdSubtract each other, obtains d axis net side inductance electricity
Press uodj；
11) by d axis net side inductive drop uodjWith the admittance 1/Z of net side inductanceL2jIt is multiplied, obtains d axis net side inductive current
iodj, wherein ZL2jIt is the impedance of net side inductance, ZL2j=sL2j+RL2j, L2jIt is net side inductance, RL2jIt is the parasitism electricity of net side inductance
Resistance；
12) by d axis net side inductive current iodjWith proportional gain KjIt is multiplied, obtains exchange side input current idcj；
13) DC side is exported into electric current iotjWith exchange side input current idcjSubtract each other, obtains DC bus capacitor electric current iCdcj；
14) by DC bus capacitor electric current iCdcjWith the impedance Z of DC bus capacitordcjIt is multiplied, obtains DC voltage UdcjIts
In, ZdcjIt is the impedance of DC bus capacitor, Zdcj=1/sCdcj, CdcjIt is DC bus capacitor.
In step 2), the transmission function G of outer voltage PI controlleruExpression formula be Gu=kpu+kiu/ s, kpuIt is outside voltage
Ring proportionality coefficient, kiuIt is outer voltage integral coefficient.Outer voltage proportionality coefficient kpuValue range is 0.7≤kpu≤ 0.9, electricity
Press outer ring integral coefficient kiuValue range is 50≤kiu≤70。
In step 3), the feedback factor H of d axis net side inductive currentmfjExpression formula are as follows:
Wherein, ZmsjIt is series connection virtual impedance, Zmsj=r1GmN, r1It is proportionality coefficient, GmNIt is modified bandstop filter,foIt is characterized frequency (i.e. fundamental frequency), k1And k2For proportionality coefficient, with modified
The bandwidth of bandstop filter is related with notch depth, and α is deviation factor.r1Value range is 10 < r1< 20, k1Value range is 4
×10-4<k1<6×10-4, k2Value range is 4 × 10-1<k2<6×10-1, α value range is 1.9 < α < 2.1.
In step 4), the transmission function G of current inner loop PI controlleriExpression formula be Gi=kpi+kii/ s, kpiIt is in electric current
Ring proportionality coefficient, kiiIt is current inner loop integral coefficient.Current inner loop proportionality coefficient kpiValue range is 0.4≤kpi≤ 0.5, electricity
Flow inner ring integral coefficient kiiValue range is 900≤kii≤1100。
In step 5), the equivalent gain G of inverterPWMValue range be 350≤GPWM≤360。
In step 12), proportional gain KjExpression formula are as follows:
Compared with prior art, the advantageous effect of present invention is that: the present invention utilize multi-machine parallel connection system improvement
Type bandstop filter higher-order of oscillation suppressing method, this method introduce modified bandstop filter in net side inductor current feedback,
Modified bandstop filter has certain notch depth at characteristic frequency, while the phase angular displacement introduced is relatively small.It is logical
After crossing modified bandstop filter, fundamental frequency component can greatly be decayed in net side inductive current, and other frequencies point
Amount almost can nondestructively pass through, other current components in addition to power frequency of extraction are for impedance remodeling control, not only effectively
Inhibit the harmonic current of multi-machine parallel connection to flow into power grid, the high frequency oscillation phenomenon of impedance network is avoided to occur, and improves system
Phase margin guarantees system enough stabilizations and preferable dynamic property under weak grid.
Detailed description of the invention
Fig. 1 is the structure chart of one embodiment of the invention multimachine grid-connected system；
Fig. 2 is the double-closed-loop control block diagram that one embodiment of the invention improved belt hinders filter high-frequency oscillation suppression method；
Fig. 3 is the two close cycles equivalent control frame that one embodiment of the invention improved belt hinders filter high-frequency oscillation suppression method
Figure；
Fig. 4 is influence of one embodiment of the invention modified bandstop filter deviation factor to outer voltage stability；
Fig. 5 is one embodiment of the invention without point of common coupling voltage u in the case of bandstop filterPCCWith grid-connected current ig's
Experimental waveform；
Fig. 6 is that one embodiment of the invention has improved belt to hinder point of common coupling voltage u under filter conditionPCCWith grid-connected electricity
Flow igExperimental waveform.
Specific embodiment
Fig. 1 is the structure chart of multimachine grid-connected system, passes through LCL type gird-connected inverter by photovoltaic array and DC/DC converter
Access power distribution network.Wherein: j=1,2 ..., n, capacitor Cdj, inductance LdcjDC/DC converter, DC side are constituted with two power tubes
Capacitor CdcjFor stable DC side voltage Udcj, inverter side inductance L1j, filter capacitor C1jWith net side inductance L2jConstitute LCL filter
Wave device, RL1jAnd RL2jRespectively L1jAnd L2jDead resistance, ZgFor electric network impedance, uinjFor input voltage, uinvjFor inverter
Output voltage, uC1jFor filter capacitor voltage, uPCCFor PCC voltage, ugFor network voltage, iLdcj、iotjAnd idcjRespectively DC side
Inductive current, DC side export electric current and exchange side input current.iL1j、iC1j、iojAnd igRespectively inverter side inductive current,
Filter capacitor electric current, net side inductive current and grid-connected current.
Fig. 2 is the double-closed-loop control block diagram that improved belt hinders filter high-frequency oscillation suppression method, by taking d axis as an example, j=1,
2 ..., n, by DC voltage UdcjWith DC voltage reference value UdcrefjSubtract each other, obtains difference euj。
By difference eujWith the transmission function G of outer voltage PI controlleruIt is multiplied, obtains d axis net side inductive current reference value
iodrefj。
By d axis net side inductive current reference value iodrefjWith (1+Hmfj)×iodjSubtract each other, obtains difference eij, wherein iodjIt is d
Axis net side inductive current, HmfjIt is the feedback factor of d axis net side inductive current.
By difference eijWith the transmission function G of current inner loop PI controlleriIt is multiplied, obtains d axis duty ratio Ddj。
By d axis duty ratio DdjWith the equivalent gain G of inverterPWMIt is multiplied, obtains d axis inverter output voltage uinvdj。
By d axis inverter output voltage uinvdjWith d axis filter capacitor voltage uC1djSubtract each other, obtains d axis inverter side inductance
Voltage uL1dj。
By d axis inverter side inductive drop uL1djWith the admittance 1/Z of inverter side inductanceL1jIt is multiplied, obtains d axis inverter
Side inductive current iL1dj, wherein ZL1jIt is the impedance of inverter side inductance, ZL1j=sL1j+RL1j, L1jIt is inverter side inductance, RL1j
It is the dead resistance of inverter side inductance, s=j ω, j are imaginary part unit symbols, and ω is electrical network angular frequency.
By d axis inverter side inductive current iL1djWith d axis net side inductive current iodjSubtract each other, obtains d axis filter capacitor electric current
iC1dj。
By d axis filter capacitor electric current iC1djWith the impedance Z of filter capacitorC1jIt is multiplied, obtains d axis filter capacitor voltage uC1dj,
Wherein, ZC1jIt is the impedance of filter capacitor, ZC1j=1/sC1j, C1jIt is filter capacitor.
By d axis filter capacitor voltage uC1djWith d axis point of common coupling voltage uPCCdSubtract each other, obtains d axis net side inductive drop
uodj。
By d axis net side inductive drop uodjWith the admittance 1/Z of net side inductanceL2jIt is multiplied, obtains d axis net side inductive current iodj,
Wherein, ZL2jIt is the impedance of net side inductance, ZL2j=sL2j+RL2j, L2jIt is net side inductance, RL2jIt is the dead resistance of net side inductance.
By d axis net side inductive current iodjWith proportional gain KjIt is multiplied, obtains exchange side input current idcj。
DC side is exported into electric current iotjWith exchange side input current idcjSubtract each other, obtains DC bus capacitor electric current iCdcj.It will
DC bus capacitor electric current iCdcjWith the impedance Z of DC bus capacitordcjIt is multiplied, obtains DC voltage UdcjWherein, ZdcjIt is DC side
The impedance of capacitor, Zdcj=1/sCdcj, CdcjIt is DC bus capacitor.
Ignore inverter losses, the power that system is input to power grid is
pgj=Udcjidcj=1.5uPCCdiodj (1)
P in formulagjTo exchange side power.
By formula (1) it is found that proportional gain KjExpression formula be
In order to maintain the dynamic equilibrium of system, i.e. guarantee DC voltage is constant, needs to DC voltage UdcjIt is closed
Ring control.
As shown in Figure 2, the closed loop transfer function, of current inner loop is
iodj=Gcpijiodrefj-YcpijuPCCd (3)
G in formulacpijFor the equivalent coefficient of current inner loop, YcpijFor the equivalent admittance of current inner loop,
Fig. 2 is subjected to equivalent transformation, obtains the equivalent control of two close cycles of improved belt resistance filter high-frequency oscillation suppression method
Block diagram processed, as shown in Figure 3.Wherein: ZmsjFor virtual impedance of connecting, Zmsj=r1GmN, r1For proportionality coefficient, GmNFor improved belt resistance
Filter.It is hindered from the angle of impedance using the output impedance technology of remodeling gird-connected inverter in the output of gird-connected inverter
Anti- series connection virtual impedance, can inhibit the higher-order of oscillation to a certain extent.From the figure 3, it may be seen that the equivalent closed loop transfer function, of system
For
iodj=Gcpieqjiodrefj-YcpieqjuPCCd (4)
G in formulacpieqjFor the transformed current inner loop equivalent coefficient of single machine, YcpieqjFor transformed current inner loop of single machine etc.
Admittance is imitated,
To make Fig. 2 and Fig. 3 realize identical purpose, in formula (3) in current source equivalent coefficient and equivalent admittance and formula (4)
It is equal to each other, expression formula is
By formula (5) it is found that net side inductor current feedback coefficient HmfjExpression formula be
Wherein, modified bandstop filter GmNExpression formula be
F in formulaoIt is characterized frequency (i.e. fundamental frequency), k1And k2Bandwidth for proportionality coefficient, with modified bandstop filter
Related with notch depth, α is deviation factor.
Fig. 4 is influence of the modified bandstop filter deviation factor to outer voltage stability, when α increases to 2.0 from 1.0
When, the Phase margin of system increases to PM3=39.54 ° from PM1=25.64 °.When α=1.6 and 2.0, meet system weak
With the condition of enough stabilizations and preferable dynamic property under power grid.
Fig. 5 is point of common coupling voltage u in the case of no bandstop filterPCCWith grid-connected current igExperimental waveform, by Fig. 5
It is found that when 2 inverter parallels, point of common coupling voltage uPCCAberration rate be 6.79%, grid-connected current igAberration rate
It is 12.67%, resonance phenomena is obvious, and reason is that high-frequency harmonic power frequency is equal to the in parallel humorous of inverter equivalent output impedance
Vibration frequency causes network that parallel resonance occurs.
Fig. 6 is to have improved belt to hinder point of common coupling voltage u under filter conditionPCCWith grid-connected current igExperimental waveform,
It will be appreciated from fig. 6 that when 2 inverter parallels, point of common coupling voltage uPCCAberration rate be 1.26%, grid-connected current ig's
Aberration rate is 2.14%.Due to introducing the damping component of enough electrical resistance properties, system energy stable operation in network.
Claims (9)
1. a kind of improved belt of multi-machine parallel connection system hinders filter high-frequency oscillation suppression method, which is characterized in that including following
Step:
1) for d axis, by DC voltage UdcjWith DC voltage reference value UdcrefjSubtract each other, obtains difference euj；J=1,
2,…,n；
2) by difference eujWith the transmission function G of outer voltage PI controlleruIt is multiplied, obtains d axis net side inductive current reference value
iodrefj；
3) by d axis net side inductive current reference value iodrefjWith (1+Hmfj)×iodjSubtract each other, obtains difference eij, wherein iodjIt is d axis
Net side inductive current, HmfjIt is the feedback factor of d axis net side inductive current；
4) by difference eijWith the transmission function G of current inner loop PI controlleriIt is multiplied, obtains d axis duty ratio Ddj；
5) by d axis duty ratio DdjWith the equivalent gain G of inverterPWMIt is multiplied, obtains d axis inverter output voltage uinvdj；
6) by d axis inverter output voltage uinvdjWith d axis filter capacitor voltage uC1djSubtract each other, obtains d axis inverter side inductance electricity
Press uL1dj；
7) by d axis inverter side inductive drop uL1djWith the admittance 1/Z of inverter side inductanceL1jIt is multiplied, obtains d axis inverter side electricity
Inducing current iL1dj, wherein ZL1jIt is the impedance of inverter side inductance, ZL1j=sL1j+RL1j, L1jIt is inverter side inductance, RL1jIt is inverse
Become the dead resistance of device side inductance, s=j ω, j are imaginary part unit symbols, and ω is electrical network angular frequency；
8) by d axis inverter side inductive current iL1djWith d axis net side inductive current iodjSubtract each other, obtains d axis filter capacitor electric current
iC1dj；
9) by d axis filter capacitor electric current iC1djWith the impedance Z of filter capacitorC1jIt is multiplied, obtains d axis filter capacitor voltage uC1dj,
In, ZC1jIt is the impedance of filter capacitor, ZC1j=1/sC1j, C1jIt is filter capacitor；
10) by d axis filter capacitor voltage uC1djWith d axis point of common coupling voltage uPCCdSubtract each other, obtains d axis net side inductive drop
uodj；
11) by d axis net side inductive drop uodjWith the admittance 1/Z of net side inductanceL2jIt is multiplied, obtains d axis net side inductive current iodj,
Wherein, ZL2jIt is the impedance of net side inductance, ZL2j=sL2j+RL2j, L2jIt is net side inductance, RL2jIt is the dead resistance of net side inductance；
12) by d axis net side inductive current iodjWith proportional gain KjIt is multiplied, obtains exchange side input current idcj；
13) DC side is exported into electric current iotjWith exchange side input current idcjSubtract each other, obtains DC bus capacitor electric current iCdcj；
14) by DC bus capacitor electric current iCdcjWith the impedance Z of DC bus capacitordcjIt is multiplied, obtains DC voltage Udcj, wherein
ZdcjIt is the impedance of DC bus capacitor, Zdcj=1/sCdcj, CdcjIt is DC bus capacitor.
2. the improved belt of multi-machine parallel connection system according to claim 1 hinders filter high-frequency oscillation suppression method, special
Sign is, in step 2), the transmission function G of the outer voltage PI controlleruExpression formula be Gu=kpu+kiu/ s, kpuIt is electricity
Press outer ring proportionality coefficient, kiuIt is outer voltage integral coefficient.
3. the improved belt of multi-machine parallel connection system according to claim 2 hinders filter high-frequency oscillation suppression method, special
Sign is, outer voltage proportionality coefficient kpuValue range is 0.7≤kpu≤ 0.9, outer voltage integral coefficient kiuValue range is
50≤kiu≤70。
4. the improved belt of multi-machine parallel connection system according to claim 1 hinders filter high-frequency oscillation suppression method, step
3) in, the feedback factor H of the d axis net side inductive currentmfjExpression formula are as follows:
Wherein, ZmsjIt is series connection virtual impedance, Zmsj=r1GmN, r1It is proportionality coefficient, GmNIt is modified bandstop filter,foIt is characterized frequency, i.e. fundamental frequency, k1And k2For proportionality coefficient, α is deviation system
Number.
5. the series connection virtual impedance active damping control method of multi-inverter grid-connected system according to claim 4, special
Sign is, r1Value range is 10 < r1< 20, k1Value range is 4 × 10-4<k1<6×10-4, k2Value range is 4 × 10-1<k2
<6×10-1, α value range is 1.9 < α < 2.1.
6. the improved belt of multi-machine parallel connection system according to claim 1 hinders filter high-frequency oscillation suppression method, step
4) in, the transmission function G of the current inner loop PI controlleriExpression formula be Gi=kpi+kii/ s, kpiIt is current inner loop ratio system
Number, kiiIt is current inner loop integral coefficient.
7. the improved belt of multi-machine parallel connection system according to claim 6 hinders filter high-frequency oscillation suppression method, special
Sign is, current inner loop proportionality coefficient kpiValue range is 0.4≤kpi≤ 0.5, current inner loop integral coefficient kiiValue range is
900≤kii≤1100。
8. the improved belt of multi-machine parallel connection system according to claim 1 hinders filter high-frequency oscillation suppression method, special
Sign is, in step 5), the equivalent gain G of the inverterPWMValue range be 350≤GPWM≤360。
9. the improved belt of multi-machine parallel connection system according to claim 1 hinders filter high-frequency oscillation suppression method, special
Sign is, in step 12), proportional gain KjExpression formula are as follows:
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN111654041A (en) * | 2020-06-22 | 2020-09-11 | 特变电工西安柔性输配电有限公司 | High-frequency oscillation suppression strategy for flexible direct current transmission system |
| CN116613781A (en) * | 2023-06-08 | 2023-08-18 | 广东工业大学 | Control method of DC bus oscillation suppression device based on duty ratio calculation |
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