CN108923453A - A kind of multi-functional gird-connected inverter flexible control of three-phase group formula and assessment compensation method - Google Patents
A kind of multi-functional gird-connected inverter flexible control of three-phase group formula and assessment compensation method Download PDFInfo
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- CN108923453A CN108923453A CN201810585733.4A CN201810585733A CN108923453A CN 108923453 A CN108923453 A CN 108923453A CN 201810585733 A CN201810585733 A CN 201810585733A CN 108923453 A CN108923453 A CN 108923453A
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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
- H02J3/38—Arrangements for parallely feeding a single network by two or more generators, converters or transformers
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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
- H02J3/26—Arrangements for eliminating or reducing asymmetry in polyphase 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
- H02J2203/00—Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
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Abstract
The present invention relates to a kind of multi-functional gird-connected inverter flexible control of three-phase group formula and assessment compensation methodes, include the following steps:1) according to the equivalent-circuit model of the multi-functional gird-connected inverter of three-phase group formula, and establish the reference current model of the multi-functional gird-connected inverter of three-phase four-wire system, current reference using electric current weighting as reference current model inputs, and obtains power quality index to be compensated;2) distributed power grid electric energy quality synthesis evaluation system model is established, and the minimum optimal objective of compensation capacity put into multi-functional gird-connected inverter, it is solved by method of Lagrange multipliers and obtains optimal penalty coefficient, power quality index is compensated according to the penalty coefficient of power quality index.Compared with prior art, the present invention has many advantages, such as rapid dynamic response speed, reduces that economic attrition, compensation effect be good, strong antijamming capability.
Description
Technical field
The present invention relates to power grid cutting-in control fields, flexible more particularly, to a kind of multi-functional gird-connected inverter of three-phase group formula
Control and assessment compensation method.
Background technique
With the rapid development of power electronic technique, more and more power electronic equipments are widely applied to each neck
Domain, the nonlinear-loads such as rectifier, frequency converter, electric arc furnaces in power grid are continuously increased, non-linear, the impact of load
The problems such as causing serious transient state impact, reactive power, higher hamonic wave and three-phase imbalance to power grid with disequilibrium.Electric power
The switching devices such as thyristor, diode in converter technique are widely applied generated harmonic current and idle electricity in power grid
Stream, instead of harmonic wave caused by traditional ferromagnetic material and subharmonic current, also has become most important harmonic pollution source, makes
Phenomena such as distorting at voltage and current.To solve this kind of problem, the harmonics and reactive compensation device of the electric power transformedswitch
It comes into being.
Multi-functional gird-connected inverter can not only complete conventional gird-connected inverter and realize the grid-connected basic function of renewable energy,
But also it is compounded with the function of administering power quality problem, the ratio of performance to price of gird-connected inverter can be significantly improved, reduce system
The volume and cost of system, are particularly suitable for micro-capacitance sensor and distributed generation system application.Wherein key technology, that is, multi-functional grid-connected
Inverter power quality compensation strategy.For at present, the compensation method generally used mainly has following several classes:
(1) proportional integration (PI) control, one circle control and sluggish control:Online current spectrum, error and total humorous respectively
The aspect of wave distortion (THD) three is compared three kinds of control strategies, PI control and one circle control to high frequency ac signal not
It is able to achieve zero steady-state error.Sluggishness controls switching frequency with good performance but non-constant and will lead to be contained in compensation electric current
There is higher hamonic wave, and increases the difficulty of filter design.
(2) selective harmonic compensation policy:All harmonic controllers are superimposed as a complete current controller.It should
Controller provides good selectivity to the entire control loop frequency response of resonance bandpass filter, but because harmonic wave is examined
The delay of survey not can guarantee good dynamic response characteristic.
(3) with the control strategy of multiple simultaneous rotating coordinate system:Positive and negative sequence harmonic current is sat by each rotation self-synchronization
Mark transformation obtains DC component, realizes zero steady-state error compensation using PI controller, but complicated calculating can occupy largely
Memory headroom.In addition, the control strategy can not achieve the benefit to zero-sequence current when three-phase four-wire system laod unbalance
It repays.
(4) ratio resonance control (PRC) and vector scale integration control (VPI):Modified control strategy, can be by right
The minimization of sensitivity function and peak value obtains high stability, avoids closed loop exception spike phenomenon.But such method without
Method solves the problems, such as three-phase imbalance and idle.
Summary of the invention
It is an object of the present invention to overcome the above-mentioned drawbacks of the prior art and provide a kind of more function of three-phase group formula
It can gird-connected inverter flexible control and assessment compensation method.
The purpose of the present invention can be achieved through the following technical solutions:
A kind of multi-functional gird-connected inverter flexible control of three-phase group formula and assessment compensation method, include the following steps:
1) according to the equivalent-circuit model of the multi-functional gird-connected inverter of three-phase group formula, and it is multi-functional simultaneously to establish three-phase four-wire system
The reference current model of net inverter, the current reference using electric current weighting as reference current model inputs, and obtains wait mend
The power quality index repaid;
2) distributed power grid electric energy quality synthesis evaluation system model, and the benefit put into multi-functional gird-connected inverter are established
The minimum optimal objective of capacity is repaid, is solved by method of Lagrange multipliers and obtains optimal penalty coefficient, referred to according to power quality
Target penalty coefficient compensates power quality index.
In the step 1), the equivalent-circuit model of the multi-functional gird-connected inverter of three-phase group formula is to filter with LCL
Gird-connected inverter model, and using current on line side, feedback is controlled simultaneously, that is, by multi-functional gird-connected inverter
Export electric current i1With grid-connected current i2Weighted sum as reference current model current reference input.
In the step 1), power quality index includes harmonic wave, idle and three-phase imbalance power quality index,
In, the power quality index of three-phase imbalance includes zero sequence and negative phase-sequence power quality index.
In the step 2), in distributed power grid electric energy quality synthesis evaluation system model, grid power quality is joined
The power quality index of idle, harmonic wave and three-phase imbalance in number is as first layer, the electric current index conduct of zero sequence and negative phase-sequence
The second layer.
The distributed power grid electric energy quality synthesis evaluation system model is:
A '=ω1pq+ω2ph+ω21ω3pz+ω22ω3pn
Wherein, A ' is comprehensive power quality index, ω1、ω2、ω3Reactive energy quality index p respectively in first layerq、
Harmonic electric energy quality index phWith the weight of the power quality index of three-phase imbalance, ω21、ω22Respectively zero sequence in the second layer
Electric current index pzWith the electric current index p of negative phase-sequencenWeight, and ω21=ω22=0.5.
The weights omega1、ω2、ω3By construct pairwise comparison matrix the corresponding feature vector of maximum eigenvalue into
Row normalized obtains.
In the step 2), the compensation capacity S of multi-functional gird-connected inverter investmenttIt is expressed as:
The expression of optimal objective is:
Wherein, α1、α2、α3、α4The respectively corresponding penalty coefficient of power quality index, UpFor distributed power grid three-phase voltage
Virtual value, IhFor the virtual value of harmonic current, IqFor the current effective value of grid side reactive component, IzFor zero-sequence current component
Virtual value, InFor the virtual value of negative phase-sequence current first harmonics component.
Optimal compensation coefficient after solution is:
σ=ω1pq0+ω2ph0+ω21ω3pz0+ω22ω3pn0
Wherein, the electric energy quality synthesis evaluation index of distributed power grid when σ is uncompensated, A are the electric energy obtained after compensating
Quality index, and σ >=A, ph0、pq0、pz0、pn0Power quality index before not compensating respectively.
In the step 2), power quality index is compensated specifically according to the penalty coefficient of power quality index
For:
ph=(1- α1)ph0
pq=(1- α2)pq0
pz=(1- α3)pz0
pn=(1- α4)pn0。
Compared with prior art, the present invention has the following advantages that:
One, rapid dynamic response speed:Compared with existing control strategy, harmonic detecting link, link essence are not included
For a time delay process, this programme is not necessarily to Harmonic Detection device, directly can be detected and be compensated to current on line side, has higher
Response speed.
Two, economic attrition is reduced, compensation effect is good:To three-phase imbalance, harmonic wave, idle equal power quality problems have compared with
Good compensation effect can save inverter capacity to the full extent, reduce economic attrition.
Three, strong antijamming capability:Power network current directly can be sampled and be controlled, remove harmonic detecting link from, it will
More function gird-connected inverters and load regard whole closed-loop control system as, for other opposite schemes, program stability
It is good, strong antijamming capability.
Detailed description of the invention
Fig. 1 is that the instruction of multi-functional gird-connected inverter reference current generates block diagram.
Fig. 2 is distributed power grid electric energy quality synthesis evaluation model.
Specific embodiment
The present invention is described in detail with specific embodiment below in conjunction with the accompanying drawings.
Embodiment
The present invention provides a kind of multi-functional gird-connected inverter flexible control of three-phase group formula and assessment compensation method, specifically includes
Following steps:
1) according to the equivalent-circuit model of the multi-functional gird-connected inverter of three-phase group formula, and it is multi-functional simultaneously to establish three-phase four-wire system
The reference current model of net inverter, the current reference using electric current weighting as reference current model inputs, and obtains wait mend
Four power quality indexs repaid,
As shown in Figure 1, figure is that multi-functional gird-connected inverter reference current instruction generates block diagram, present invention proposition is multi-functional simultaneously
Net control strategy for inverter:
Using a kind of combination, electric current i is exported using inverter itself1Electric current i is surveyed with net2Weighted current controlling party
Method, i.e. current on line side while feedback control strategy, then have:
I=α i1+βi2
Alpha+beta=1, i2=ni1
It selects α appropriate, β value that the zero pole point of transmission function can be made to offset or close, and becomes control system from three ranks
Single order can thus eliminate the problem due to pole resonance peak bring stability margin deficiency, while can PI be adjusted
Proportional gain can choose bigger value and reduce systematic steady state error and improve dynamic property.
2) distributed power grid electric energy quality synthesis evaluation system model, and the benefit put into multi-functional gird-connected inverter are established
The minimum optimal objective of capacity is repaid, is solved by method of Lagrange multipliers and obtains optimal penalty coefficient, referred to according to power quality
Target penalty coefficient compensates power quality index.
Specifically include following steps:
(21) idle, the first layer that harmonic wave and three-phase imbalance are as model in grid power quality parameter, zero sequence and
The second layer of the negative-sequence current index as system model, distributed power grid electric energy quality synthesis evaluation model are as shown in Figure 2;
Assessment models according to fig. 2 carry out flexible customization to the power quality at distributed power grid PCC, for idle point
Amount, has:
In formula,For the virtual value of distributed power grid three-phase voltage, I1For having for current on line side fundametal compoment
Valid value, IqFor the current effective value of grid side reactive component;
No work factor is defined as:
pq=Q/S1=(3UpIq)/(3UpI1)=Iq/I1
According to defining for THD:
ph=THD=Ih/I1
In formula,For the virtual value of harmonic current.About unbalanced component, degree of unbalancedness is regarded as
The ratio between grid side negative-sequence current point, the virtual value of zero-sequence current component and virtual value of fundamental current component:
pn=In/I1, pz=Iz/I1
Wherein InAnd IzThe respectively virtual value of negative-sequence current fundametal compoment and zero-sequence current component.
In conjunction with the assessment models of Fig. 2, harmonic ratio is idle and uneven all important, and zero sequence is important as negative phase-sequence.Secondly.According to
According to analytic hierarchy process (AHP), in the second layer zero sequence and negative sequence component parameter can be configured to be to comparator matrix as follows:
Its eigen vector is sought, enables the coincident indicator be:
CI=(λmax-n)/(n-1)
In formula, λmax=2 be comparator matrix C2Characteristic value, n C2Order.It knows when CI=0, that is, consistency check is logical
It is out-of-date, it can be deduced that C2Maximum eigenvalue λmaxCorresponding feature vector, then weight vector ω can be obtained2=(ω21,ω22)=
(0.5,0.5).Likewise, being directed to first layer power quality index, equally can be configured to comparator matrix:
Then its characteristic value, feature vector are asked, it is CI=0.0018 that coincident indicator, which can be obtained,.It can according to analytic hierarchy process (AHP)
, n=3 acquires its consistency index RI=0.58 by consistency check.Obtaining its consistency ratio is:
Due to CR < 0.1, pass through so consistency is relatively tested.To λmaxCorresponding feature vector is normalized one by one,
Weight vector corresponding to available each power quality index of first layer is ω1=(ω1,ω2,ω3)=(0.3090,
0.5816,0.1095)。
(22) it measures using voltage, practical measurement of current value as multi-functional gird-connected inverter reference current mode input to four kinds of electricity
The penalty coefficient of energy quality objective, optimizes penalty coefficient from mathematical angle, obtains optimal electrical power quality custom strategies.
According to the flexible customization principle of analytic hierarchy process (AHP), obtain the multi-functional gird-connected inverter flexibility customization of distributed power grid with
Assessment penalty coefficient is α1~α4, can obtain compensated every power quality index is respectively:
ph=(1- α1)ph0, pq=(1- α2)pq0, pz=(1- α3)pz0, pn=(1- α4)pn0
In formula, subscript " 0 " indicate it is uncompensated when value, subscript " h " " q " " z " " n " respectively indicate harmonic wave, idle, zero sequence and
Negative phase-sequence power quality index.
In order to which the target component for customizing power quality flexibility reaches expectation, every management goal selects different compensation systems
Number.The minimum optimal objective of compensation capacity put into herein with multi-functional gird-connected inverter, then the inverter compensation capacity put into
It can be expressed as:
Based on this, objective function selection is as follows:
Lagrangian is constructed according to upper two formula:
In formula, λ is Lagrange multiplier.It is obtained according to method of Lagrange multipliers:
Then above formula equation group is sought, Lagrange multiplier λ satisfaction is obtained:
Wherein, the electric energy quality synthesis evaluation index of distributed power grid when σ is uncompensated, A are the electric energy obtained after compensating
Quality index, and σ >=A:
σ=ω1pq0+ω2ph0+ω21ω3pz0+ω22ω3pn0
According to αiDefinition, it is known that αi>=0 (i=1,2,3,4).Optimal compensation coefficient is obtained according to method of Lagrange multipliers
For:
In formula, 0≤αi≤ 1 (i=1,2,3,4), acquires penalty coefficient αi>=0 (i=1,2,3,4) carries out penalty coefficient
Processing.
With harmonic compensation factor alpha1For,
A≥Amax.1=σ-ph0W/ω2
Due to penalty coefficient α1>=1, therefore α1=1, harmonic wave is fully compensated, THD should after compensating under normal circumstances
It is 0, i.e. ph=0.Then again with ph0=0, ω2=0 solves above-mentioned Lagrange's equation.Other are greater than with 1 penalty coefficient
Do same processing.
Claims (9)
1. a kind of multi-functional gird-connected inverter flexible control of three-phase group formula and assessment compensation method, which is characterized in that including following
Step:
1) according to the equivalent-circuit model of the multi-functional gird-connected inverter of three-phase group formula, and it is multi-functional grid-connected inverse to establish three-phase four-wire system
The reference current model for becoming device, the current reference using electric current weighting as reference current model inputs, and obtains to be compensated
Power quality index;
2) distributed power grid electric energy quality synthesis evaluation system model is established, and is held with the compensation of multi-functional gird-connected inverter investment
Minimum optimal objective is measured, is solved by method of Lagrange multipliers and obtains optimal penalty coefficient, according to power quality index
Penalty coefficient compensates power quality index.
2. a kind of multi-functional gird-connected inverter flexible control of three-phase group formula according to claim 1 and assessment compensation method,
It is characterized in that, the equivalent-circuit model of the multi-functional gird-connected inverter of three-phase group formula is to filter with LCL in the step 1)
Gird-connected inverter model, and using current on line side simultaneously feedback controlled, that is, by multi-functional parallel network reverse
Device exports electric current i1With grid-connected current i2Weighted sum as reference current model current reference input.
3. a kind of multi-functional gird-connected inverter flexible control of three-phase group formula according to claim 1 and assessment compensation method,
It is characterized in that, power quality index includes harmonic wave, idle and three-phase imbalance power quality refers in the step 1)
Mark, wherein the power quality index of three-phase imbalance includes zero sequence and negative phase-sequence power quality index.
4. a kind of multi-functional gird-connected inverter flexible control of three-phase group formula according to claim 1 and assessment compensation method,
It is characterized in that, in the step 2), in distributed power grid electric energy quality synthesis evaluation system model, by grid power quality
The power quality index of idle, harmonic wave and three-phase imbalance in parameter as first layer, make by the electric current index of zero sequence and negative phase-sequence
For the second layer.
5. a kind of multi-functional gird-connected inverter flexible control of three-phase group formula according to claim 4 and assessment compensation method,
It is characterized in that, the distributed power grid electric energy quality synthesis evaluation system model is:
A '=ω1pq+ω2ph+ω21ω3pz+ω22ω3pn
Wherein, A ' is comprehensive power quality index, ω1、ω2、ω3Reactive energy quality index p respectively in first layerq, harmonic wave
Power quality index phWith the weight of the power quality index of three-phase imbalance, ω21、ω22Respectively zero-sequence current in the second layer
Index pzWith the electric current index p of negative phase-sequencenWeight, and ω21=ω22=0.5.
6. a kind of multi-functional gird-connected inverter flexible control of three-phase group formula according to claim 5 and assessment compensation method,
It is characterized in that, the weights omega1、ω2、ω3By the corresponding feature vector of maximum eigenvalue for constructing pairwise comparison matrix
Acquisition is normalized.
7. a kind of multi-functional gird-connected inverter flexible control of three-phase group formula according to claim 5 and assessment compensation method,
It is characterized in that, in the step 2), the compensation capacity S of multi-functional gird-connected inverter investmenttIt is expressed as:
The expression of optimal objective is:
Wherein, α1、α2、α3、α4The respectively corresponding penalty coefficient of power quality index, UpFor having for distributed power grid three-phase voltage
Valid value, IhFor the virtual value of harmonic current, IqFor the current effective value of grid side reactive component, IzFor having for zero-sequence current component
Valid value, InFor the virtual value of negative phase-sequence current first harmonics component.
8. a kind of multi-functional gird-connected inverter flexible control of three-phase group formula according to claim 7 and assessment compensation method,
It is characterized in that, the optimal compensation coefficient after solving is:
σ=ω1pq0+ω2ph0+ω21ω3pz0+ω22ω3pn0
Wherein, the electric energy quality synthesis evaluation index of distributed power grid when σ is uncompensated, A are the power quality obtained after compensating
Index, and σ >=A, ph0、pq0、pz0、pn0Power quality index before not compensating respectively.
9. a kind of multi-functional gird-connected inverter flexible control of three-phase group formula according to claim 8 and assessment compensation method,
It is characterized in that, compensating tool to power quality index according to the penalty coefficient of power quality index in the step 2)
Body is:
ph=(1- α1)ph0
pq=(1- α2)pq0
pz=(1- α3)pz0
pn=(1- α4)pn0。
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CN109742790A (en) * | 2018-12-19 | 2019-05-10 | 天津大学 | A kind of micro-capacitance sensor electric energy quality optimization method based on three-phase multifunctional inverter |
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