CN107017637A - A kind of simplifying for three phase rectifier unit harmonic power models evaluating method - Google Patents
A kind of simplifying for three phase rectifier unit harmonic power models evaluating method Download PDFInfo
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- CN107017637A CN107017637A CN201710267380.9A CN201710267380A CN107017637A CN 107017637 A CN107017637 A CN 107017637A CN 201710267380 A CN201710267380 A CN 201710267380A CN 107017637 A CN107017637 A CN 107017637A
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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
- H02J2203/00—Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
- H02J2203/20—Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- 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
- Y02E40/00—Technologies for an efficient electrical power generation, transmission or distribution
- Y02E40/40—Arrangements for reducing harmonics
Abstract
Simplify modeling evaluating method the invention provides a kind of three phase rectifier unit harmonic power, this method is obtained in structure on the basis of the harmonic power model of three phase rectifier unit, according to the coupled relation between Rectification Power Factor harmonic voltage and electric current, build the corresponding harmonic power admittance matrix of harmonic power model construction, and analyze contribution distribution situation of the different harmonic components to each harmonic power of terminal voltage, it is allowed to simplified so as to reject the low elemental areas of the contribution to harmonic power in harmonic power admittance matrix, the simplified model of three phase rectifier group harmonic power is back-calculated to obtain further according to simplified harmonic power admittance matrix, harmonic power evaluation and test value to calculate three phase rectifier unit, while so that the computation model of three phase rectifier unit harmonic power is greatly simplified, the harmonic power evaluation and test value of the three phase rectifier unit obtained using its calculating still has higher reference confidence level, effectively reference information can be provided for real work.
Description
Technical field
The present invention relates to power system monitoring and industrial electricity apparatus harmonic suppression technique field, more particularly to a kind of three-phase
Simplifying for Rectification Power Factor harmonic power models evaluating method.
Background technology
At present, the development of power system has been the important component for concerning national economy.Numerical monitor according to statistics, I
The power consumption of state is also increasing year by year with expanding economy.Meanwhile, conventional electric power is industrial to highly intensive, altitude knowledge
Change, the transformation of height technicalization direction, power network has become one of maximum most complicated machine in the world.And with traditional energy
Constantly reduce and continued to develop and ever-increasing energy demand with global economy, efficient, the Optimum utilization right and wrong of the energy
It is often important.The efficient of the energy, Optimum utilization can also reduce pollution while the energy is saved, and this builds to us has and can hold
The syntonic type country of continuous sexual development has important Social benefit and economic benefit.For individual subscriber, the optimization profit of the energy
With can also reduce electric cost expenditure, reduce expenses.And with for power system and power network, the monitoring to electric load contributes to energy
Efficient, the Optimum utilization in source, and increasingly paid attention to by everybody.Such as by load monitoring, which kind of equipment be able to know that
More save；By analyzing the payload and energy service condition of different time sections, we can more arranged rational phase
Close start and stop and the working condition of equipment.In addition, the monitoring to load also contributes to us to the further deep of part throttle characteristics
Solution, the work such as load prediction, Electric Power Network Planning can be carried out for relevant departments and provide reference information.
Rectification Power Factor is as typical harmonic source, and line voltage generates direct current after its prime rectification circuit in load-side
Electric current, the rectified device of the electric current is coupled with AC network, causes Rectification Power Factor AC to produce harmonic component, the alternating current of distortion
Flow through after power network reciprocation, by further to power system, other loads cause harm.At present, existing document is surveyed using experiment
The modes such as amount, simulation analysis are studied the harmonic characterisitic of Rectification Power Factor, but the former is only applicable to the rectification under experiment condition
Unit, though and rectification circuit of the latter available for analysis different structure, but still rectification load terminal voltage each harmonic can not be obtained
With the relation of harmonic current, for small power single commutating phase, the single-phase frequency domain harmonic model do not controlled with phase control rectifier electric current is disclosed
Percentage contribution of its terminal voltage each harmonic to current harmonics.To high-power industrial Rectification Power Factor frequently with rectified three-phase circuit,
According to the operation principle of three-phase uncontrollable rectifier load in existing literature, alternating voltage and practical measurement of current characteristic, analysis are utilized
Rectified current characteristic under different operating modes, proposes Rectification Power Factor equivalent circuit parameter method of estimation；Led with reference to frequency domain harmonic coupling
Matrix of receiving is derived, and sets up the harmonic power analytic modell analytical model of three-phase uncontrollable rectifier load.But this model is excessively complicated, is not easy to
Analysis to three phase rectifier unit harmonic power, it is difficult to be applied to comment the power consumption load of three phase rectifier unit well
Survey, grid equipment planning etc. is in work, need that a kind of computing is more simple, have reference value in real work application three
The evaluating method of commutating phase unit harmonic power.
The content of the invention
It is more simple and refer to present invention aims at a kind of computing is provided for above shortcomings in the prior art
Simplifying for the higher three phase rectifier unit harmonic power of confidence level models evaluating method, to be more convenient for three phase rectifier unit harmonic wave
Power is analyzed, and reference is provided for work such as load prediction, Electric Power Network Plannings, so as to solve the three phase rectifier load of prior art
Harmonic power analysis method it is excessively complicated, the problem of be difficult to practical application.
In order to solve the above technical problems, realizing goal of the invention, the technical solution adopted by the present invention is as follows：
A kind of simplifying for three phase rectifier unit harmonic power models evaluating method, comprises the following steps：
1) current characteristics of three phase rectifier unit under different operating modes is obtained, analysis obtains the harmonic power of three phase rectifier unit
Model；
2) according to the corresponding harmonic power admittance matrix of harmonic power model construction of three phase rectifier unit, terminal voltage is analyzed
Different harmonic components to the contribution distribution situation of each harmonic power, mark off in harmonic power admittance matrix to harmonic power
Contribution less than given threshold admittance element integrated distribution region as simplify reject region, from harmonic power admittance matrix
In rejected, the harmonic power admittance matrix being simplified, so as to be back-calculated to obtain according to simplified harmonic power admittance matrix
The simplified model of three phase rectifier unit harmonic power；
3) using the simplified model of three phase rectifier unit harmonic power, the harmonic power of three phase rectifier unit is calculated, and will
Checkout result as three phase rectifier unit harmonic power evaluation and test value.
Above-mentioned three phase rectifier unit harmonic power simplifies in modeling evaluating method, specifically, the step 1) in institute
The harmonic power model of obtained three phase rectifier unit include discontinuous current when Rectification Power Factor harmonic wave active power harmonic without
The model letter of the pattern function of work(power and the harmonic wave active power harmonic reactive power of electric current consecutive hours Rectification Power Factor
Number；Wherein, the pattern function of the harmonic wave active power harmonic reactive power of Rectification Power Factor is respectively during discontinuous current：
The pattern function of the harmonic wave active power harmonic reactive power of electric current consecutive hours Rectification Power Factor is respectively：
Wherein, Ak,h、Bk,h、Dk,h、Ek,hAnd Fk,hIt is that formula refers to symbol, and：
H represents input harmonic voltage number of times, and k represents Rectification Power Factor harmonic power number of times, h ∈ { 1,2 ..., H }, k ∈
{ 1,2 ..., K }, H, K are respectively input highest harmonic voltage number of times and Rectification Power Factor highest harmonic power number of times；Pint,k、
Qint,kThe k subharmonic active power and k subharmonic reactive powers of Rectification Power Factor during discontinuous current are represented respectively；Pcon,k、Qcon,kPoint
Not Biao Shi electric current consecutive hours Rectification Power Factor k subharmonic active power and k subharmonic reactive powers；α1、δ1Diode is represented respectively
The angle of flow and angle of cut-off of the 1st turn on process in half cycles；α2、δ2Diode the 2nd conducting in half cycles is represented respectively
The angle of flow and angle of cut-off of process；γ represents the corresponding angle of electric pulse peak value in single conducting；UkRepresent that Rectification Power Factor k times is humorous
Wave voltage virtual value；UhRepresent input h subharmonic voltage virtual values；GhThe equivalent admittance of DC side h subharmonic voltages is represented,
θhRepresent the phase of DC side h subharmonic voltage equivalent admittances；Represent the phase of input h subharmonic voltages；Represent whole
Flow the phase of unit k subharmonic voltages；π is pi.
Simplifying for above-mentioned three phase rectifier unit harmonic power is modeled in evaluating method, specifically, the step 2) it is specific
For：
21) by the idle work(of harmonic wave active power harmonic in the harmonic power model of three phase rectifier unit during discontinuous current
The pattern function of rate is rewritten as respectively：
Wherein,The harmonic wave active power of Rectification Power Factor is being inputted during discontinuous current during respectively h ≠ k and h=k
The active equivalent admittance under h subharmonic voltages, Rectification Power Factor k subharmonic power ratings is held,Respectively h ≠ k and h
During=k during discontinuous current the harmonic wave active power of Rectification Power Factor in input h subharmonic voltages, Rectification Power Factor k subharmonic power
Idle equivalent admittance under state；And：
So as to by discontinuous current when each active equivalent admittance be arranged to make up using Rectification Power Factor harmonic power number of times k as
Go, the active Equivalent Admittance Matrix during discontinuous current of row is used as using input harmonic voltage number of times hBy discontinuous current when
Each idle equivalent admittance be arranged to make up using Rectification Power Factor harmonic power number of times k as row, with input harmonic voltage number of times h
As row discontinuous current when idle Equivalent Admittance Matrix
By the continuous time-harmonic wave active power harmonic reactive power of electric current in the harmonic power model of three phase rectifier unit
Pattern function is rewritten as respectively：
Wherein,The harmonic wave active power of electric current consecutive hours Rectification Power Factor is defeated during respectively h ≠ k and h=k
Enter to hold the active equivalent admittance under h subharmonic voltages, Rectification Power Factor k subharmonic power ratings,Respectively h ≠ k and h
The harmonic wave active power of electric current consecutive hours Rectification Power Factor is in input h subharmonic voltages, Rectification Power Factor k subharmonic power during=k
Idle equivalent admittance under state；And：
So as to by each active equivalent admittance of electric current consecutive hours be arranged to make up using Rectification Power Factor harmonic power number of times k as
Go, the active Equivalent Admittance Matrix of the electric current consecutive hours of row is used as using input harmonic voltage number of times hBy electric current consecutive hours
Each idle equivalent admittance be arranged to make up using Rectification Power Factor harmonic power number of times k as row, with input harmonic voltage number of times h
It is used as the idle Equivalent Admittance Matrix of the electric current consecutive hours of row
Wherein, Dk,k、Ek,kAnd Fk,kD during respectively h=kk,h、Ek,hAnd Fk,hOperation values；
22) the different harmonic components of analysis terminal voltage mark off electric current and broken to the contribution distribution situation of each harmonic power
Active Equivalent Admittance Matrix when continuousWith idle Equivalent Admittance MatrixAnd the active equivalent admittance square of electric current consecutive hours
Battle arrayWith idle Equivalent Admittance MatrixIn to admittance element integrated distribution of the contribution less than given threshold of harmonic power
Region is rejected as rejecting region is simplified, the harmonic power admittance matrix being simplified, so that according to simplified harmonic wave work(
Rate admittance matrix is back-calculated to obtain the simplified model of three phase rectifier unit harmonic power；
In the simplified model of resulting three phase rectifier unit harmonic power, input harmonic voltage number of times h value model
Enclose for h ∈ 1+6n or 5+6n | and n=0,1,2,3 ...；And h≤H, Rectification Power Factor harmonic power number of times k span is k ∈
1+6m or 5+6m | m=0,1,2,3 ...；And k≤K, n and m are integer；And as harmonic power number of times k≤31, electric current breaks
The pattern function of the harmonic wave active power harmonic reactive power of Rectification Power Factor and electric current consecutive hours Rectification Power Factor is humorous when continuous
The pattern function of ripple active power harmonic reactive power is respectively：
Wherein,K during discontinuous current in the simplified model of three phase rectifier unit harmonic power is represented respectively
Subharmonic active power and k subharmonic reactive powers；The simplification of three phase rectifier unit harmonic power is represented respectively
The k subharmonic active power of electric current consecutive hours and k subharmonic reactive powers in model；And h1∈ 1+6n | n=0,1,2,3,4；
And h1≤ H }, h2∈ 5+6n | n=0,1,2,3；And h2≤H}；When k ∈ 1+6m | m=0,1,2,3,4,5；When k≤K and, H1
=k+6, H2=k+4, and H1,H2≤25；When k ∈ 5+6m | m=0,1,2,3,4；When k≤K and, H1=k+2, H2=k+6, and
H1,H2≤25；
As harmonic power number of times k>When 31, the harmonic wave active power harmonic reactive power of Rectification Power Factor during discontinuous current
The pattern function of the harmonic wave active power harmonic reactive power of pattern function and electric current consecutive hours Rectification Power Factor is respectively：
Wherein, h1∈ 1+6n | n=0,1,2,3,4；And h1≤ H }, h2∈ 5+6n | n=0,1,2,3；And h2≤H}；h3's
Value according to harmonic power number of times k value determine, when k ∈ 1+6m | m=6,7,8 ...；When k≤K and, h3={ k-6, k-
2,k,k+4,k+6}；When k ∈ 5+6m | and m=5,6,7 ...；When k≤K and, h3={ k-6, k-4, k, k+2, k+6 }.
Compared to prior art, the invention has the advantages that：
Simplifying for three phase rectifier unit harmonic power of the present invention models evaluating method, and three phase rectifier unit is obtained building
On the basis of harmonic power model, according to the coupled relation between Rectification Power Factor harmonic voltage and electric current, harmonic power mould is built
Type builds corresponding harmonic power admittance matrix, and analyzes contribution point of the different harmonic components to each harmonic power of terminal voltage
Cloth situation, so that rejecting the low elemental areas of the contribution to harmonic power in harmonic power admittance matrix is allowed to simplified, further according to
Simplified harmonic power admittance matrix is back-calculated to obtain the simplified model of three phase rectifier unit harmonic power, to calculate three phase rectifier
The harmonic power evaluation and test value of unit so that while the computation model of three phase rectifier unit harmonic power is greatly simplified, profit
The harmonic power evaluation and test value of the three phase rectifier unit obtained with its calculating still has higher reference confidence level, can be effective
For analyzing three phase rectifier unit harmonic power, reference information is provided for real works such as load prediction, Electric Power Network Plannings.
Brief description of the drawings
Fig. 1 is the equivalent circuit diagram of three phase rectifier unit.
Fig. 2 runs performance plot when being three phase rectifier unit discontinuous current；
Fig. 3 is performance plot when three phase rectifier unit electric current is continuously run；
Fig. 4 is the flow chart for simplifying modeling evaluating method of three phase rectifier unit harmonic power of the present invention.
Fig. 5 be the Parameter Conditions of case 1 under discontinuous current when active Equivalent Admittance Matrix matrix element distribution map.
Fig. 6 be the Parameter Conditions of case 1 under discontinuous current when idle Equivalent Admittance Matrix matrix element distribution map.
Fig. 7 be the Parameter Conditions of case 2 under discontinuous current when active Equivalent Admittance Matrix matrix element distribution map.
Fig. 8 be the Parameter Conditions of case 2 under discontinuous current when idle Equivalent Admittance Matrix matrix element distribution map.
Fig. 9 be the Parameter Conditions of case 1 under electric current consecutive hours active Equivalent Admittance Matrix matrix element distribution map.
Figure 10 be the Parameter Conditions of case 1 under electric current consecutive hours idle Equivalent Admittance Matrix matrix element distribution map.
Figure 11 be the Parameter Conditions of case 2 under electric current consecutive hours active Equivalent Admittance Matrix matrix element distribution map.
Figure 12 be the Parameter Conditions of case 2 under electric current consecutive hours idle Equivalent Admittance Matrix matrix element distribution map.
Figure 13 is the dominant element distribution map of the active Equivalent Admittance Matrix of discontinuous current time-harmonic wave.
Figure 14 accounts for all elements for host element absolute value sum in the active Equivalent Admittance Matrix of the harmonic wave of case 1 and case 2
The distribution map that the ratio of absolute value summation changes with resistance R.
Figure 15 is the calculation error of quantitative analysis complete model and simplified model with load resistance harmonic wave variation rule curve
Figure.
Figure 16 is the calculation error of quantitative analysis complete model and simplified model with load voltage harmonic wave variation rule curve
Figure.
Embodiment
According to the operation principle of three-phase uncontrollable rectifier load in existing literature, alternating voltage and practical measurement of current characteristic are utilized
According to the rectified current characteristic under the different operating modes of analysis proposes Rectification Power Factor equivalent circuit parameter method of estimation；With reference to frequency domain harmonic
Coupling admittance matrix is derived, and sets up the harmonic power analytic modell analytical model of three-phase uncontrollable rectifier load.But this model is excessively complicated,
It is not easy to the analysis to three phase rectifier unit harmonic power, it is difficult to be applied to bear the power consumption of three phase rectifier unit well
In the work such as lotus evaluation and test, grid equipment planning.
Simplify modeling evaluating method the invention provides a kind of three phase rectifier unit harmonic power, it simplifies modeling and commented
Survey and handling process is as shown in figure 4, comprise the following steps：
1) current characteristics of three phase rectifier unit under different operating modes is obtained, analysis obtains the harmonic power of three phase rectifier unit
Model.
The structure of three-phase uncontrollable rectifier unit is as shown in figure 1, DC side constitutes power by filter inductance L and filter capacitor C
Factor correcting link, to reduce the harmonic wave of injection power network.L, C and load instantaneous voltage u of different model chargerRParameter is present
Difference, and load resistance R is then by uRDetermined with load power.Using the equivalent load resistance R of change to the high frequency of different phase
Power conversion circuit carries out equivalent.
For the electric current of each phase in figure, there is turn on process twice in half cycles.As load power changes,
In the turn on process twice of half cycles electric current occur it is interrupted and continuous, correspond respectively to underloading and heavy duty situation.Fig. 2 and figure
3 show two kinds in the case of three phase rectifier unit DC voltage udcAnd uR, a phase currents ia, ab and ac line voltages uabAnd uacReality
Survey 5 times of Current amplifier in waveform, accompanying drawing 2.Wherein α1And δ1The respectively conducting of diode the 1st turn on process in half cycles
And angle of cut-off, α2And δ2The respectively diode conducting of the 2nd turn on process and angle of cut-off, I in half cyclesmIt is single respectively with β
The peak value of current impulse and conducting width angle in secondary conducting, γ is ImCorresponding angle.1st conducting δ in Fig. 31Led with the 2nd time
Logical α2Overlap, and unlike interrupted situation (shown in Fig. 2), its beginning electric current and ending current i for turning on every timea(α2)=ia
(δ1)=I0(being not 0).
The conducting width angle β of current impulse is measured by actual in single conducting；Highest overtone order H is according to actual need
It was determined that overtone order is higher, content is smaller, when typically getting higher value, it is possible to ignore it to URInfluence；H times
Harmonic voltage phaseObtained by measurement；H subharmonic voltage virtual values UhObtained by measurement；γ and α1Difference DELTA γ by measuring
Obtain；Ab line voltages uabFor given value.
According to the operation principle of three-phase uncontrollable rectifier load, using alternating voltage and practical measurement of current characteristic, analysis is not
With the rectified current characteristic under operating mode, derived with reference to frequency domain harmonic coupling admittance matrix, can set up and obtain three phase rectifier unit
Harmonic power model.The harmonic power model of obtained three phase rectifier unit include discontinuous current when harmonic wave active power and
The pattern function of the pattern function of harmonic wave reactive power and the harmonic wave active power harmonic reactive power of electric current consecutive hours；
Wherein, the pattern function of harmonic wave active power harmonic reactive power during discontinuous current is respectively：
The pattern function of the harmonic wave active power harmonic reactive power of electric current consecutive hours is respectively：(3)
Wherein, Ak,h、Bk,h、Dk,h、Ek,hAnd Fk,hIt is that formula refers to symbol, and：
H represents input harmonic voltage number of times, and k represents Rectification Power Factor harmonic power number of times, h ∈ { 1,2 ..., H }, k ∈
{ 1,2 ..., K }, H, K are respectively input highest harmonic voltage number of times and Rectification Power Factor highest harmonic power number of times；Pint,k、
Qint,kThe k subharmonic active power and k subharmonic reactive powers of Rectification Power Factor during discontinuous current are represented respectively；Pcon,k、Qcon,kPoint
Not Biao Shi electric current consecutive hours Rectification Power Factor k subharmonic active power and k subharmonic reactive powers；α1、δ1Diode is represented respectively
The angle of flow and angle of cut-off of the 1st turn on process in half cycles；α2、δ2Diode the 2nd conducting in half cycles is represented respectively
The angle of flow and angle of cut-off of process；γ represents the corresponding angle of electric pulse peak value in single conducting；UkRepresent that Rectification Power Factor k times is humorous
Wave voltage virtual value；UhRepresent input h subharmonic voltage virtual values；GhThe equivalent admittance of DC side h subharmonic voltages is represented,
θhRepresent the phase of DC side h subharmonic voltage equivalent admittances；Represent the phase of input h subharmonic voltages；Represent rectification
The phase of unit k subharmonic voltages；π is pi.
But this model is excessively complicated, is not easy to the analysis to three phase rectifier unit harmonic power, it is difficult to real well
Border is applied in the work such as the power consumption load evaluation and test to three phase rectifier unit, grid equipment planning.Accordingly, it would be desirable to enter to advance to it
The simplification of one step.
2) according to the corresponding harmonic power admittance matrix of harmonic power model construction of three phase rectifier unit, terminal voltage is analyzed
Different harmonic components to the contribution distribution situation of each harmonic power, mark off in harmonic power admittance matrix to harmonic power
Contribution less than given threshold admittance element integrated distribution region as simplify reject region, from harmonic power admittance matrix
In rejected, the harmonic power admittance matrix being simplified, so as to be back-calculated to obtain according to simplified harmonic power admittance matrix
The simplified model of three phase rectifier unit harmonic power.
The step specifically includes two-part parsing and simplifies process.
21) according to the harmonic power model of Rectification Power Factor, the different harmonic components of terminal voltage can be analyzed to each harmonic power
Contribution.By the idle work(of harmonic wave active power harmonic in the harmonic power model of three phase rectifier unit during discontinuous current
The pattern function of rate is rewritten as respectively：
Wherein,The harmonic wave active power of Rectification Power Factor is being inputted during discontinuous current during respectively h ≠ k and h=k
The active equivalent admittance under h subharmonic voltages, Rectification Power Factor k subharmonic power ratings is held,Respectively h ≠ k and h
During=k during discontinuous current the harmonic wave active power of Rectification Power Factor in input h subharmonic voltages, Rectification Power Factor k subharmonic power
Idle equivalent admittance under state；And：
So as to by discontinuous current when each active equivalent admittance be arranged to make up using Rectification Power Factor harmonic power number of times k as
Go, the active Equivalent Admittance Matrix during discontinuous current of row is used as using input harmonic voltage number of times hBy discontinuous current when
Each idle equivalent admittance be arranged to make up using Rectification Power Factor harmonic power number of times k as row, with input harmonic voltage number of times h
As row discontinuous current when idle Equivalent Admittance MatrixWherein, Dk,k、Ek,kAnd Fk,kD during respectively h=kk,h、Ek,h
And Fk,hOperation values.
Fig. 5 and Fig. 6 show the active equivalent admittance square during discontinuous current that (is designated as case 1) under a case Parameter Conditions
Battle arrayWith idle Equivalent Admittance MatrixMatrix element distribution situation, Fig. 7 and Fig. 8 show another case Parameter Conditions
Under the discontinuous current that (is designated as case 2) when active Equivalent Admittance MatrixWith idle Equivalent Admittance MatrixMatrix element point
Cloth situation, wherein row represents Rectification Power Factor harmonic power number of times k, is classified as input harmonic voltage number of times h, for ease of analyzing each square
Array element element takes absolute value.Idle Equivalent Admittance MatrixElement is relative to active Equivalent Admittance MatrixAmplitude for element
Larger, causing the harmonic wave reactive power of rectifier AC to be more than has work value.It can be seen that, element is with harmonic wave on diagonal of a matrix
The increase of number of times and be gradually reduced, while harmonic voltage is also gradually reduced with the increase of overtone order, and power and each time it is humorous
Wave voltage component is into quadratic relationship, thus harmonic power shows the trend for increasing and being gradually reduced with overtone order.Namely
Say, active Equivalent Admittance Matrix during discontinuous currentWith idle Equivalent Admittance MatrixThe distribution feelings of middle matrix element value
Condition, can embody contribution distribution situation of the relevant voltage harmonic components to each harmonic power.
Similarly, by the harmonic wave active power harmonic of electric current consecutive hours in the harmonic power model of three phase rectifier unit without
The pattern function of work(power is rewritten as respectively：
Wherein,The harmonic wave active power of electric current consecutive hours Rectification Power Factor is defeated during respectively h ≠ k and h=k
Enter to hold the active equivalent admittance under h subharmonic voltages, Rectification Power Factor k subharmonic power ratings,Respectively h ≠ k and h
The harmonic wave active power of electric current consecutive hours Rectification Power Factor is in input h subharmonic voltages, Rectification Power Factor k subharmonic power during=k
Idle equivalent admittance under state；And：
So as to by each active equivalent admittance of electric current consecutive hours be arranged to make up using Rectification Power Factor harmonic power number of times k as
Go, the active Equivalent Admittance Matrix of the electric current consecutive hours of row is used as using input harmonic voltage number of times hBy electric current consecutive hours
Each idle equivalent admittance be arranged to make up using Rectification Power Factor harmonic power number of times k as row, with input harmonic voltage number of times h
It is used as the idle Equivalent Admittance Matrix of the electric current consecutive hours of row
Fig. 9 and Figure 10 show the active Equivalent Admittance Matrix of electric current consecutive hours under the Parameter Conditions of case 1With it is idle
Equivalent Admittance MatrixMatrix element distribution situation, Figure 11 and Figure 12 show electric current consecutive hours under the Parameter Conditions of case 2
Active Equivalent Admittance MatrixWith idle Equivalent Admittance MatrixMatrix element distribution situation, wherein row represent motor-generator set
Group harmonic power number of times k, is classified as input harmonic voltage number of times h.It can see from Fig. 9,10,11,12, different parameters condition meeting
Cause power admittance matrix element size different.Meanwhile, even if with the contrast of Fig. 5,6,7,8 it can also be seen that voltage harmonic condition
Identical, the difference of mode of operation also results in matrix element and changed.
22) show through substantial amounts of data results, under discontinuous current and continuous pattern, three-phase uncontrollable rectifier unit
Active and idle Equivalent Admittance Matrix in absolute value account for more than half less than the centesimal element number of maximum, these yuan
Contribution of the element to each harmonic power can be neglected.Also, for the active and idle Equivalent Admittance Matrix under different working modes,
Their dominant element distributed areas are essentially identical.Figure 13 shows the leading of the active Equivalent Admittance Matrix of discontinuous current time-harmonic wave
Elemental distribution, they are mainly distributed on two regions：Host element area 1 is the primary and secondary diagonal region of matrix, host element area
2 be more than diagonal and the region of voltage harmonic number of times h≤25.The more shallow absolute value for referring to matrix element of color is more in Figure 13
Greatly, the deeper element absolute value for representing matrix of color is smaller.Figure 14 is that resistance R changes (remaining parameter L=2mH, C=363 μ F
It is constant) when, host element absolute value sum accounts for all elements absolute value in the active Equivalent Admittance Matrix of harmonic wave of case 1 and case 2
The ratio of summation；It can be seen that, as resistance reduces (power increase), the host element ratio of host element area 2 is maintained near 0.25,
And the host element in diagonal host element area 1 is then gradually increased to stationary value.Two host element region host element ratios under different capacity
The summation of example rises all more than 0.75 as load power increases.Comparison diagram 5,6,7,8 and Fig. 9,10,11,12
It can be found that the degree of rarefication in continuous (power is high) the active and idle Equivalent Admittance Matrix of time-harmonic wave of electric current is higher, corresponding master
Elemental areas will be concentrated more.
Therefore, the Elemental redistribution feature in the active and idle Equivalent Admittance Matrix of harmonic wave, can mark off discontinuous current
When active Equivalent Admittance MatrixWith idle Equivalent Admittance MatrixAnd the active Equivalent Admittance Matrix of electric current consecutive hoursWith idle Equivalent Admittance MatrixIn to the contribution of harmonic power, less than given threshold, (threshold value for example set is small for contribution
Rejected, obtained as rejecting region is simplified in the region of percent admittance element integrated distribution one) of maximum contribution value
Simplified harmonic power admittance matrix, so as to be back-calculated to obtain three phase rectifier unit according to simplified harmonic power admittance matrix
The simplified model of harmonic power.
It can see, harmonic power made mainly by above-mentioned analysis in the active and idle Equivalent Admittance Matrix of harmonic wave
The element of contribution, its column (correspond to scope that input harmonic voltage number of times h) is mainly distributed h ∈ 1+6n or 5+6n |
N=0,1,2,3 ...；And h≤H, it is expert at and (corresponds to the scopes that are mainly distributed of Rectification Power Factor harmonic power number of times k) in k ∈
1+6m or 5+6m | m=0,1,2,3 ...；And k≤K, n and m are integer；Also, as harmonic power number of times k≤31, electricity
The harmonic wave active power harmonic reactive power of Rectification Power Factor can take into consideration only the 1st and arrange equivalent to the 25th row harmonic wave when flowing interrupted
The contribution of admittance matrix element, the model of the harmonic wave active power harmonic reactive power of Rectification Power Factor during corresponding discontinuous current
Function calculating formula can be written as respectively：
The pattern function of the harmonic wave active power harmonic reactive power of corresponding electric current consecutive hours Rectification Power Factor can be distinguished
It is written as：
Wherein,K during discontinuous current in the simplified model of three phase rectifier unit harmonic power is represented respectively
Subharmonic active power and k subharmonic reactive powers；The simplification of three phase rectifier unit harmonic power is represented respectively
The k subharmonic active power of electric current consecutive hours and k subharmonic reactive powers in model；And, h1∈ 1+6n | n=0,1,2,3,4；
And h1≤ H }, h2∈ 5+6n | n=0,1,2,3；And h2≤H}；When k ∈ 1+6m | m=0,1,2,3,4,5；When k≤K and, H1
=k+6, H2=k+4, and H1,H2≤25；When k ∈ 5+6m | m=0,1,2,3,4；When k≤K and, H1=k+2, H2=k+6, and
H1,H2≤25；
And as harmonic power number of times k>When 31, it is only necessary to consider the 1st row to the 25th row and the diagonal line harmonics equivalent admittance of primary and secondary
The contribution of matrix element, the pattern function of the harmonic wave active power harmonic reactive power of Rectification Power Factor during corresponding discontinuous current
It can be written as respectively：
The pattern function of the harmonic wave active power harmonic reactive power of corresponding electric current consecutive hours Rectification Power Factor can be distinguished
It is written as：
Wherein, h1∈ 1+6n | n=0,1,2,3,4；And h1≤ H }, h2∈ 5+6n | n=0,1,2,3；And h2≤H}；h3's
Value according to harmonic power number of times k value determine, when k ∈ 1+6m | m=6,7,8 ...；When k≤K and, h3={ k-6, k-
2,k,k+4,k+6}；When k ∈ 5+6m | and m=5,6,7 ...；When k≤K and, h3={ k-6, k-4, k, k+2, k+6 }.
Thus, it is the simplified model that constitutes three phase rectifier unit harmonic power by above-mentioned formula (16)~formula (23).
3) using the simplified model of three phase rectifier unit harmonic power, the standby harmonic power of three phase rectifier unit is calculated, and
Using checkout result as three phase rectifier unit harmonic power evaluation and test value.
Using document, " Sun Yuanyuan, Yin Zhiming, Zheng Weijie wait the harmonic wave of IGCT controlled reactors to produce characteristic research
[J] electrotechnics journals, 2012,27 (7)：267-273 " error criterion (using measured value as true value), quantitative analysis formula (6)
(11) calculation error of complete model and formula (16) to (23) simplified model with load resistance and voltage harmonic changing rule such as
Shown in Figure 15 and Figure 16.
Figure 15 voltage harmonic condition is the increase odd harmonics of 13 to 37 times, the total harmonic wave of voltage on the basis of case 1
Aberration rate is 1.67%.Visible by Figure 15 and 16, the active calculation error of harmonic wave is higher than idle；With the increasing of bearing power
Greatly, the fundametal compoment of rectifier ac-side current rises, and the active and idle calculation error of harmonic wave is on a declining curve.
After bearing power increases, the ratio that the dominant element of active and idle admittance matrix accounts for total element gradually increases,
Thus the calculation error of simplified model is relatively large in Figure 15, but bearing power is bigger, and the error difference of two models is smaller.Protect
The relative scale for holding each harmonic in Figure 15 is fixed, load resistance R=20 Ω, obtains different model calculation errors always humorous with voltage
Ripple aberration rate change curve, as shown in figure 16.Now, because the susceptibility of model parameter estimation strengthens, two model meters are caused
Error is calculated all to increase.In addition, simplified model only accounts for admittance matrix dominant element, its calculation error is consistently higher than complete mould
Type；Although the error of simplified model increases with the increase of voltage distortion rate, consistently lower than 15%.
Thus also illustrate, simplifying for the three phase rectifier unit harmonic power that the present invention is provided models evaluating method, not only makes
The computation model for obtaining three phase rectifier unit harmonic power is greatly simplified, and calculates three phase rectifier machine using the simplified model
The harmonic power of group still has higher reference confidence level as evaluation and test value, and error is no more than 15%, energy compared with measured value
It is enough in and three phase rectifier unit harmonic power is analyzed, reference can be provided for work such as load prediction, Electric Power Network Plannings.
Simplifying for three phase rectifier unit harmonic power of the present invention models evaluating method, and three phase rectifier unit is obtained building
On the basis of harmonic power model, according to the coupled relation between Rectification Power Factor harmonic voltage and electric current, harmonic power mould is built
Type builds corresponding harmonic power admittance matrix, and analyzes contribution point of the different harmonic components to each harmonic power of terminal voltage
Cloth situation, so that rejecting the low elemental areas of the contribution to harmonic power in harmonic power admittance matrix is allowed to simplified, further according to
Simplified harmonic power admittance matrix is back-calculated to obtain the simplified model of three phase rectifier unit harmonic power, to calculate three phase rectifier
The harmonic power evaluation and test value of unit so that while the computation model of three phase rectifier unit harmonic power is greatly simplified, profit
The harmonic power evaluation and test value of the three phase rectifier unit obtained with its calculating still has higher reference confidence level, can be effective
For analyzing three phase rectifier unit harmonic power, reference information is provided for real works such as load prediction, Electric Power Network Plannings.
Finally illustrate, the above embodiments are merely illustrative of the technical solutions of the present invention and it is unrestricted, although with reference to compared with
The present invention is described in detail good embodiment, it will be understood by those within the art that, can be to skill of the invention
Art scheme is modified or equivalent substitution, and without departing from the objective and scope of technical solution of the present invention, it all should cover at this
Among the right of invention.
Claims (3)
1. a kind of simplifying for three phase rectifier unit harmonic power models evaluating method, it is characterised in that comprise the following steps：
1) current characteristics of three phase rectifier unit under different operating modes is obtained, analysis obtains the harmonic power mould of three phase rectifier unit
Type；
2) according to the corresponding harmonic power admittance matrix of harmonic power model construction of three phase rectifier unit, analysis terminal voltage is not
With contribution distribution situation of the harmonic components to each harmonic power, the tribute to harmonic power in harmonic power admittance matrix is marked off
The region of the admittance element integrated distribution less than given threshold is offered as rejecting region is simplified, is added from harmonic power admittance matrix
To reject, the harmonic power admittance matrix being simplified, so as to be back-calculated to obtain three-phase according to simplified harmonic power admittance matrix
The simplified model of Rectification Power Factor harmonic power；
3) using the simplified model of three phase rectifier unit harmonic power, the harmonic power of three phase rectifier unit is calculated, and will clearing
As a result as the harmonic power evaluation and test value of three phase rectifier unit.
2. simplifying for three phase rectifier unit harmonic power models evaluating method according to claim 1, it is characterised in that described
Step 1) in obtained by three phase rectifier unit harmonic power model include discontinuous current when Rectification Power Factor harmonic wave wattful power
The pattern function of rate harmonic reactive power and the harmonic wave active power harmonic reactive power of electric current consecutive hours Rectification Power Factor
Pattern function；Wherein, the pattern function of the harmonic wave active power harmonic reactive power of Rectification Power Factor is distinguished during discontinuous current
For：
The pattern function of the harmonic wave active power harmonic reactive power of electric current consecutive hours Rectification Power Factor is respectively：
Wherein, Ak,h、Bk,h、Dk,h、Ek,hAnd Fk,hIt is that formula refers to symbol, and：
H represents input harmonic voltage number of times, and k represents Rectification Power Factor harmonic power number of times, h ∈ { 1,2 ..., H }, k ∈ 1,
2 ..., K }, H, K are respectively input highest harmonic voltage number of times and Rectification Power Factor highest harmonic power number of times；Pint,k、Qint,k
The k subharmonic active power and k subharmonic reactive powers of Rectification Power Factor during discontinuous current are represented respectively；Pcon,k、Qcon,kDifference table
Show the k subharmonic active power and k subharmonic reactive powers of electric current consecutive hours Rectification Power Factor；α1、δ1Represent diode half respectively
The angle of flow and angle of cut-off of 1st turn on process in cycle；α2、δ2Diode the 2nd turn on process in half cycles is represented respectively
The angle of flow and angle of cut-off；γ represents the corresponding angle of electric pulse peak value in single conducting；UkRepresent Rectification Power Factor k subharmonic electricity
It is pressed with valid value；UhRepresent input h subharmonic voltage virtual values；GhRepresent the equivalent admittance of DC side h subharmonic voltages, θhTable
Show the phase of DC side h subharmonic voltage equivalent admittances；Represent the phase of input h subharmonic voltages；Represent motor-generator set
The phase of group k subharmonic voltages；π is pi.
3. simplifying for three phase rectifier unit harmonic power models evaluating method according to claim 2, it is characterised in that described
Step 2) be specially：
21) by the harmonic wave active power harmonic reactive power in the harmonic power model of three phase rectifier unit during discontinuous current
Pattern function is rewritten as respectively：
Wherein,During respectively h ≠ k and h=k during discontinuous current the harmonic wave active power of Rectification Power Factor in input h
Active equivalent admittance under subharmonic voltage, Rectification Power Factor k subharmonic power ratings,Respectively h ≠ k and h=k
When discontinuous current when Rectification Power Factor harmonic wave active power in input h subharmonic voltages, Rectification Power Factor k subharmonic power ratings
Under idle equivalent admittance；And：
So as to by discontinuous current when each active equivalent admittance be arranged to make up using Rectification Power Factor harmonic power number of times k as row,
The active Equivalent Admittance Matrix during discontinuous current of row is used as using input harmonic voltage number of times hBy discontinuous current when it is each
Individual idle equivalent admittance is arranged to make up using Rectification Power Factor harmonic power number of times k as row, using input harmonic voltage number of times h as
Idle Equivalent Admittance Matrix during the discontinuous current of row
By the model of the continuous time-harmonic wave active power harmonic reactive power of electric current in the harmonic power model of three phase rectifier unit
Function is rewritten as respectively：
Wherein,The harmonic wave active power of electric current consecutive hours Rectification Power Factor is in input h during respectively h ≠ k and h=k
Active equivalent admittance under subharmonic voltage, Rectification Power Factor k subharmonic power ratings,During respectively h ≠ k and h=k
The harmonic wave active power of electric current consecutive hours Rectification Power Factor is under input h subharmonic voltages, Rectification Power Factor k subharmonic power ratings
Idle equivalent admittance；And：
So as to be arranged to make up by each active equivalent admittance of electric current consecutive hours using Rectification Power Factor harmonic power number of times k as row,
The active Equivalent Admittance Matrix of the electric current consecutive hours of row is used as using input harmonic voltage number of times hBy each of electric current consecutive hours
Individual idle equivalent admittance is arranged to make up using Rectification Power Factor harmonic power number of times k as row, using input harmonic voltage number of times h as
The idle Equivalent Admittance Matrix of the electric current consecutive hours of row
Wherein, Dk,k、Ek,kAnd Fk,kD during respectively h=kk,h、Ek,hAnd Fk,hOperation values；
22) contribution distribution situation of the different harmonic components to each harmonic power of terminal voltage is analyzed, when marking off discontinuous current
Active Equivalent Admittance MatrixWith idle Equivalent Admittance MatrixAnd the active Equivalent Admittance Matrix of electric current consecutive hours
With idle Equivalent Admittance MatrixIn to harmonic power contribution less than given threshold admittance element integrated distribution region make
Rejected to simplify rejecting region, the harmonic power admittance matrix being simplified, so that according to simplified harmonic power admittance
Matrix is back-calculated to obtain the simplified model of three phase rectifier unit harmonic power；
In the simplified model of resulting three phase rectifier unit harmonic power, input harmonic voltage number of times h span is h
∈ 1+6n or 5+6n | n=0,1,2,3 ...；And h≤H, Rectification Power Factor harmonic power number of times k span is k ∈ { 1+6m
Or 5+6m | m=0,1,2,3 ...；And k≤K, n and m are integer；And as harmonic power number of times k≤31, during discontinuous current
The pattern function of harmonic wave active power harmonic reactive power and the harmonic wave of electric current consecutive hours Rectification Power Factor of Rectification Power Factor have
The pattern function of work(power harmonic reactive power is respectively：
Wherein,K subharmonic during discontinuous current in the simplified model of three phase rectifier unit harmonic power is represented respectively
Active power and k subharmonic reactive powers；In the simplified model for representing three phase rectifier unit harmonic power respectively
The k subharmonic active power and k subharmonic reactive powers of electric current consecutive hours；And h1∈ 1+6n | n=0,1,2,3,4；And h1≤
H }, h2∈ 5+6n | n=0,1,2,3；And h2≤H}；When k ∈ 1+6m | m=0,1,2,3,4,5；When k≤K and, H1=k+6,
H2=k+4, and H1,H2≤25；When k ∈ 5+6m | m=0,1,2,3,4；When k≤K and, H1=k+2, H2=k+6, and H1,H2≤
25；
As harmonic power number of times k>When 31, the model of the harmonic wave active power harmonic reactive power of Rectification Power Factor during discontinuous current
The pattern function of the harmonic wave active power harmonic reactive power of function and electric current consecutive hours Rectification Power Factor is respectively：
Wherein, h1∈ 1+6n | n=0,1,2,3,4；And h1≤ H }, h2∈ 5+6n | n=0,1,2,3；And h2≤H}；h3Value
According to harmonic power number of times k value determine, when k ∈ 1+6m | m=6,7,8 ...；When k≤K and, h3={ k-6, k-2, k, k
+4,k+6}；When k ∈ 5+6m | and m=5,6,7 ...；When k≤K and, h3={ k-6, k-4, k, k+2, k+6 }.
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| CN109995034A (en) * | 2019-01-28 | 2019-07-09 | 西安交通大学 | A method of considering that the regional grid harmonic synthesis of Harmonic coupling characteristic is administered |
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| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109995034A (en) * | 2019-01-28 | 2019-07-09 | 西安交通大学 | A method of considering that the regional grid harmonic synthesis of Harmonic coupling characteristic is administered |
| CN109995034B (en) * | 2019-01-28 | 2021-01-19 | 西安交通大学 | Regional power grid harmonic comprehensive treatment method considering harmonic coupling characteristics |
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