CN102590646A - Method for detecting positive sequence, negative sequence and harmonic current based on phase sequence filter - Google Patents

Method for detecting positive sequence, negative sequence and harmonic current based on phase sequence filter Download PDF

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CN102590646A
CN102590646A CN2012100327601A CN201210032760A CN102590646A CN 102590646 A CN102590646 A CN 102590646A CN 2012100327601 A CN2012100327601 A CN 2012100327601A CN 201210032760 A CN201210032760 A CN 201210032760A CN 102590646 A CN102590646 A CN 102590646A
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sequence
phase
current
fundamental
negative
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许富强
吴春华
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University of Shanghai for Science and Technology
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University of Shanghai for Science and Technology
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Abstract

The invention discloses a method for detecting a positive sequence, a negative sequence and harmonic current based on a phase sequence filter. The method includes the following steps: three-phase load current value is detected, and the current value is converted to under a two-phase static coordinate; a positive and negative sequence fundamental filter performs digital filtering on axis current component under the two-phase static coordinate to obtain axis-axis positive and negative sequence fundamental current component; the axis-axis positive and negative sequence fundamental current component is converted to under a three-phase static coordinate to obtain three-phase positive and negative sequence fundamental current component; and finally the thee-phase load current value subtracts the three-phase positive and negative sequence fundamental current component to obtain harmonic component. The method dose not need to obtain reactive power value and a synchronous rotation angle, and has no rotation transformation of the coordinates.

Description

A kind of positive sequence, negative phase-sequence and harmonic current detecting method based on sequence filter
Technical field
The present invention relates to a kind of detection technique, particularly a kind of positive sequence, negative phase-sequence and harmonic current detecting method based on sequence filter.
Background technology
Along with the develop rapidly of Power Electronic Technique, various device for power switching and other nonlinear loads are extensively adopted at industrial circle, have brought facility for the conversion application of electric energy, and have improved the efficient of conversion; They cause harmonic wave to be injected electrical network in large quantities again on the other hand, cause electric pollution.Using active filter to solve harmonic problem is the most frequently used method.Active Power Filter-APF also is a kind of power electronic equipment; Its ultimate principle is from target compensation, to detect harmonic current; Produce one with this harmonic current equal and opposite in direction and opposite polarity offset current only contains fundametal compoment thereby make in the power network current by compensation system.
At present, the harmonic current detecting method that is applied to active filter mainly contains fourier transform method, based on the p-q converter technique and the i of instantaneous reactive power theory p-i qConverter technique.Fourier transform method is based on the analysis to cycle data, and calculated amount is big, is unwell to quick real-time control; Patent " positive sequence of electric power system, negative phase-sequence, idle and harmonic current detecting method " all is based on instantaneous reactive power theory with " a kind of harmonic wave and reactive current detection method based on spatial transformation of voltage vectors "; Need carry out conversion to obtain the vector space positions angle to three-phase voltage; Thereby increased the complicacy of harmonic wave detection algorithm and, brought delay time error inevitably the dependence of voltage.
Summary of the invention
The objective of the invention is provides a kind of positive sequence based on sequence filter, negative phase-sequence and harmonic current detecting method to the defective that prior art exists, and this method is less to the voltage detecting dependence, need not phaselocked loop (PLL) and obtains synchronous rotation angle.Need detect the line voltage fundamental frequency in order to obtain quite good detecting effectiveness, the detection of fundamental frequency rotation angle relatively synchronously is easy to realize and do not exist delay time error.
Technical solution of the present invention is following:
A kind of positive sequence based on sequence filter, negative phase-sequence and harmonic current detecting method may further comprise the steps:
Step 1: from current detection circuit, record threephase load electric current
Figure 879163DEST_PATH_IMAGE001
,
Figure 167056DEST_PATH_IMAGE002
,
Figure 929476DEST_PATH_IMAGE003
, decompose and can obtain by symmetrical component method:
Figure 986425DEST_PATH_IMAGE004
Where,
Figure 441677DEST_PATH_IMAGE005
is the fundamental angular frequency,
Figure 341500DEST_PATH_IMAGE006
,
Figure 782977DEST_PATH_IMAGE007
are the currents corresponding
Figure 819066DEST_PATH_IMAGE008
harmonic positive sequence, negative sequence component of the RMS;
Figure 445219DEST_PATH_IMAGE009
,
Figure 832338DEST_PATH_IMAGE010
are
Figure 811927DEST_PATH_IMAGE008
harmonic positive and negative sequence component of the phase angle.
Step 2: with
Figure 968101DEST_PATH_IMAGE001
;
Figure 765156DEST_PATH_IMAGE002
; carries out three phase static
Figure 422851DEST_PATH_IMAGE011
coordinate to two mutually static
Figure 433532DEST_PATH_IMAGE012
coordinate transform; Obtain biphase current
Figure 401488DEST_PATH_IMAGE013
,
Figure 372986DEST_PATH_IMAGE014
;
Figure 819011DEST_PATH_IMAGE015
, algorithm is following:
；
Step 3: Read from the storage registers were fundamental positive sequence filter and negative sequence fundamental output of the previous filter , and
Figure 797145DEST_PATH_IMAGE019
,
Figure 782419DEST_PATH_IMAGE020
.
Step 4: The two-phase current
Figure 92178DEST_PATH_IMAGE021
,
Figure 38268DEST_PATH_IMAGE022
subtracting the negative sequence fundamental previous filter output result
Figure 91675DEST_PATH_IMAGE019
,
Figure 658750DEST_PATH_IMAGE020
derived from the fundamental difference between positive sequence filter filtering through to get the current two-phase positive sequence fundamental current
Figure 139409DEST_PATH_IMAGE023
,
Figure 431850DEST_PATH_IMAGE024
component; same time, the two-phase current
Figure 164314DEST_PATH_IMAGE021
,
Figure 858601DEST_PATH_IMAGE022
subtracting the fundamental positive sequence filter the output of the previous results
Figure 510162DEST_PATH_IMAGE017
,
Figure 555478DEST_PATH_IMAGE018
draw negative sequence fundamental difference filter filtering through to get the current two-phase negative sequence fundamental current
Figure 826054DEST_PATH_IMAGE025
,
Figure 374847DEST_PATH_IMAGE026
weight.
Step 5: The fundamental positive sequence current filter output two-phase positive sequence fundamental current , weight assigned to the ,
Figure 207488DEST_PATH_IMAGE018
corresponding storage registers; also negative sequence fundamental to the current output of the two-phase filter negative sequence fundamental current
Figure 466431DEST_PATH_IMAGE025
,
Figure 955181DEST_PATH_IMAGE026
component assigned to the
Figure 833138DEST_PATH_IMAGE019
,
Figure 356523DEST_PATH_IMAGE020
corresponding storage register.
Step 6: with two phase positive sequence fundamental currents
Figure 520789DEST_PATH_IMAGE023
,
Figure 637780DEST_PATH_IMAGE024
with two mutually the result that draws of negative phase-sequence fundamental current
Figure 178483DEST_PATH_IMAGE025
,
Figure 556375DEST_PATH_IMAGE026
addition carry out two mutually static
Figure 157120DEST_PATH_IMAGE012
coordinate to three phase static coordinate transform; Obtain fundametal compoment
Figure 840223DEST_PATH_IMAGE027
,
Figure 338200DEST_PATH_IMAGE028
,
Figure 844268DEST_PATH_IMAGE029
in the three-phase current, the algorithm of coordinate transform is: two mutually static
Figure 935852DEST_PATH_IMAGE012
coordinate is the inverse operation of three phase static
Figure 170841DEST_PATH_IMAGE011
coordinate to two mutually static
Figure 723176DEST_PATH_IMAGE012
coordinate transform to the algorithm of three phase static
Figure 818357DEST_PATH_IMAGE011
coordinate transform;
Step 7: will be from ;
Figure 847307DEST_PATH_IMAGE031
deducts ,
Figure 968344DEST_PATH_IMAGE034
, obtains each phase harmonic current
Figure 395094DEST_PATH_IMAGE036
,
Figure 679445DEST_PATH_IMAGE037
,
Figure 826392DEST_PATH_IMAGE038
in
Figure 54297DEST_PATH_IMAGE032
.
The transport function of the positive sequence first-harmonic wave filter that adopts in the said step 3 is:
Figure 854391DEST_PATH_IMAGE039
In the formula;
Figure 911340DEST_PATH_IMAGE040
is the first-harmonic angular frequency of line voltage, and is the bandwidth of positive sequence wave filter.
The transport function of negative phase-sequence first-harmonic wave filter is:
Figure 266415DEST_PATH_IMAGE042
In the formula;
Figure 832526DEST_PATH_IMAGE040
is the first-harmonic angular frequency of line voltage, and
Figure 743981DEST_PATH_IMAGE041
is the bandwidth of negative phase-sequence wave filter.
The first-harmonic angular frequency of line voltage in said positive sequence wave filter and the negative phase-sequence wave filter
Figure 370134DEST_PATH_IMAGE040
is detected the A phase voltage by frequency detection circuit and obtains.
The present invention compared with prior art; Have following conspicuous outstanding substantive distinguishing features and marked improvement: the positive sequence, negative phase-sequence and the harmonic current detecting method that the present invention is based on sequence filter; Need not to try to achieve reactive power value and synchronous rotation angle, and do not have the rotational transform of coordinate.Therefore, simple in structure, calculated amount is less, is easy to Project Realization, exists under the distortion situation at line voltage also can obtain quite good detecting effectiveness.
Description of drawings
Fig. 1 is positive sequence of the present invention, negative phase-sequence and harmonic current detecting method schematic diagram;
Fig. 2 is positive sequence first-harmonic Filter Structures block diagram under the present invention two mutually static
Figure 491674DEST_PATH_IMAGE012
coordinate system;
Fig. 3 is negative phase-sequence first-harmonic Filter Structures block diagram under the present invention two mutually static
Figure 736842DEST_PATH_IMAGE012
coordinate system.
Concrete implementation
Below combination figure and practical implementation process are explained further details to the present invention:
As shown in Figure 1 the positive sequence based on sequence filter, negative phase-sequence and harmonic current detect schematic diagram; Comprise three-phase current detection circuit 1; A phase voltage frequency detection circuit 2; Three phase static
Figure 893017DEST_PATH_IMAGE043
coordinate to two mutually static
Figure 690071DEST_PATH_IMAGE012
coordinate transform 3; Positive sequence first-harmonic wave filter 5; Negative phase-sequence first-harmonic wave filter 6; Storage register 8; Two mutually static coordinate is to 4,10 and totalizers 7 of 9, two subtracters of three phase static
Figure 82187DEST_PATH_IMAGE043
coordinate transform.
This is based on positive sequence, negative phase-sequence and the harmonic current detecting method of sequence filter, and its controlled step is following:
Step 1: detect threephase load electric current
Figure 92868DEST_PATH_IMAGE030
by three-phase current detection circuit;
Figure 60824DEST_PATH_IMAGE031
;
Figure 156956DEST_PATH_IMAGE032
; Wherein can be according to symmetrical component method to threephase load electric current
Figure 743926DEST_PATH_IMAGE030
;
Figure 874693DEST_PATH_IMAGE031
,
Figure 13551DEST_PATH_IMAGE032
is decomposed into:
Figure 206766DEST_PATH_IMAGE044
（1）
Where, is the fundamental angular frequency,
Figure 707334DEST_PATH_IMAGE006
,
Figure 17093DEST_PATH_IMAGE007
are the currents corresponding
Figure 697604DEST_PATH_IMAGE008
harmonic positive sequence, negative sequence component of the RMS;
Figure 751011DEST_PATH_IMAGE045
,
Figure 590791DEST_PATH_IMAGE010
are
Figure 71451DEST_PATH_IMAGE008
harmonic positive and negative sequence component of the phase angle.
Step 2: will detect by three-phase current detection circuit and obtain threephase load electric current
Figure 504837DEST_PATH_IMAGE030
;
Figure 96355DEST_PATH_IMAGE031
;
Figure 56221DEST_PATH_IMAGE032
carries out three phase static coordinate to two-phase static
Figure 362886DEST_PATH_IMAGE012
transformation of coordinates algorithm; Obtain biphase current
Figure 758095DEST_PATH_IMAGE046
,
Figure 572467DEST_PATH_IMAGE047
Figure 270296DEST_PATH_IMAGE048
（2）
Where three-phase static
Figure 537329DEST_PATH_IMAGE011
coordinates to a two-phase stationary
Figure 736229DEST_PATH_IMAGE012
coordinate transformation algorithm is as follows:
Figure 405108DEST_PATH_IMAGE049
（3）
Step 3: Read from the storage registers were fundamental positive sequence filter and negative sequence fundamental output of the previous filter
Figure 273838DEST_PATH_IMAGE017
,
Figure 28168DEST_PATH_IMAGE018
and
Figure 30759DEST_PATH_IMAGE025
, .
Step 4: After a three-phase static
Figure 593775DEST_PATH_IMAGE011
coordinates to a two-phase stationary
Figure 835401DEST_PATH_IMAGE012
coordinate transformation resulting two-phase current
Figure 376103DEST_PATH_IMAGE021
, subtracting the negative sequence fundamental previous filter output result
Figure 230107DEST_PATH_IMAGE025
, derived from the fundamental difference between the input to the positive sequence filter filtering to obtain the current two-phase positive sequence fundamental current
Figure 37843DEST_PATH_IMAGE017
, component; Meanwhile, the two-phase current
Figure 917254DEST_PATH_IMAGE046
,
Figure 867893DEST_PATH_IMAGE050
subtracting the fundamental positive sequence filter the output of the previous results
Figure 750398DEST_PATH_IMAGE017
, resulting negative sequence fundamental difference between the input filter to get the current two-phase filtering negative sequence fundamental current
Figure 920797DEST_PATH_IMAGE025
,
Figure 358731DEST_PATH_IMAGE026
weight.
Step 5: The fundamental positive sequence current filter output two-phase positive sequence fundamental current
Figure 920294DEST_PATH_IMAGE023
,
Figure 127284DEST_PATH_IMAGE024
weight assigned to the
Figure 240734DEST_PATH_IMAGE017
,
Figure 165964DEST_PATH_IMAGE051
corresponding storage registers; also negative sequence fundamental to the current output of the two-phase filter negative sequence fundamental current
Figure 265638DEST_PATH_IMAGE052
,
Figure 592714DEST_PATH_IMAGE053
component assigned to the ,
Figure 24013DEST_PATH_IMAGE020
corresponding storage register.
Step 6: will by step 4 obtain two phase positive sequence fundamental currents
Figure 927378DEST_PATH_IMAGE054
,
Figure 108961DEST_PATH_IMAGE055
with two mutually the result after negative phase-sequence fundamental current
Figure 564213DEST_PATH_IMAGE056
,
Figure 198456DEST_PATH_IMAGE057
addition carry out two mutually static
Figure 639933DEST_PATH_IMAGE012
coordinate to three phase static coordinate transform; Thereby obtain fundametal compoment
Figure 567755DEST_PATH_IMAGE058
,
Figure 564661DEST_PATH_IMAGE059
,
Figure 934462DEST_PATH_IMAGE060
in the three-phase current; Wherein two mutually static coordinate is the inverse operation of three phase static
Figure 371894DEST_PATH_IMAGE011
coordinate to two mutually static
Figure 279807DEST_PATH_IMAGE012
coordinate transform to the algorithm of three phase static coordinate transform, and is as follows:
Figure 290488DEST_PATH_IMAGE061
（4）
Step 7: from
Figure 258444DEST_PATH_IMAGE062
, ,
Figure 964984DEST_PATH_IMAGE064
subtracting
Figure 830172DEST_PATH_IMAGE065
,
Figure 969029DEST_PATH_IMAGE066
,
Figure 427824DEST_PATH_IMAGE067
get each phase harmonic current
Figure 943119DEST_PATH_IMAGE068
,
Figure 662813DEST_PATH_IMAGE069
,
Figure 847938DEST_PATH_IMAGE070
.
Fig. 2 is respectively positive sequence first-harmonic wave filter and negative phase-sequence first-harmonic Filter Structures block diagram under two mutually static
Figure 918662DEST_PATH_IMAGE012
coordinate system with Fig. 3.Positive sequence first-harmonic wave filter and negative phase-sequence first-harmonic wave filter that the present invention proposes are a kind of digital filters that adopts the complex coefficient transport function, can extract positive-sequence component and negative sequence component in the threephase load electric current respectively.Fundamental positive sequence filter
Figure 972069DEST_PATH_IMAGE071
and negative sequence fundamental filters
Figure 811849DEST_PATH_IMAGE072
The transfer functions are as follows:
Figure 167875DEST_PATH_IMAGE073
（5）
Figure 725895DEST_PATH_IMAGE074
（6）
In the formula;
Figure 317413DEST_PATH_IMAGE040
is the first-harmonic angular frequency of line voltage, and
Figure 11700DEST_PATH_IMAGE041
is the bandwidth of wave filter.
Wherein the first-harmonic angular frequency of line voltage
Figure 804206DEST_PATH_IMAGE040
detects acquisition by A phase voltage frequency detection circuit to the A phase voltage in positive sequence wave filter and the negative phase-sequence wave filter.
Can obtain by formula 5 and formula 6:
Figure 583944DEST_PATH_IMAGE075
（7）
Figure 979153DEST_PATH_IMAGE076
（8）
Above two formulas can be rewritten into respectively:
Figure 793525DEST_PATH_IMAGE077
（9）
Figure 491354DEST_PATH_IMAGE078
（10）
So can get positive sequence first-harmonic wave filter and the structured flowchart of negative phase-sequence first-harmonic wave filter under two mutually static
Figure 758387DEST_PATH_IMAGE012
coordinate system according to formula 9, formula 10, respectively as shown in Figures 2 and 3.
Above content is to combine concrete preferred implementation to further explain that the present invention did; Can not assert that embodiment of the present invention only limits to this; Those of ordinary skill for technical field under the present invention; Under the prerequisite that does not break away from the present invention's design, can also make some simple deduction or replace, all should be regarded as belonging to the present invention and confirm scope of patent protection by claims of being submitted to.

Claims (3)

1. the positive sequence based on sequence filter, negative phase-sequence and harmonic current detecting method is characterized in that: may further comprise the steps:
Step 1: from current detection circuit, record threephase load electric current ,
Figure 2012100327601100001DEST_PATH_IMAGE004
,
Figure 2012100327601100001DEST_PATH_IMAGE006
, decompose and can obtain by symmetrical component method:
Figure 2012100327601100001DEST_PATH_IMAGE008
Where,
Figure 2012100327601100001DEST_PATH_IMAGE010
is the fundamental angular frequency,
Figure 2012100327601100001DEST_PATH_IMAGE012
,
Figure 2012100327601100001DEST_PATH_IMAGE014
are the currents corresponding
Figure 2012100327601100001DEST_PATH_IMAGE016
harmonic positive sequence, negative sequence component of the RMS; ,
Figure 2012100327601100001DEST_PATH_IMAGE020
are
Figure 855592DEST_PATH_IMAGE016
harmonic positive and negative sequence component of the phase angle;
Step 2: with
Figure 378977DEST_PATH_IMAGE002
;
Figure 684187DEST_PATH_IMAGE004
; carries out three phase static
Figure 2012100327601100001DEST_PATH_IMAGE022
coordinate to two mutually static coordinate transform; Obtain biphase current
Figure 2012100327601100001DEST_PATH_IMAGE026
,
Figure 2012100327601100001DEST_PATH_IMAGE028
; , algorithm is following:
Figure 2012100327601100001DEST_PATH_IMAGE032
；
Step 3: were read from the storage registers fundamental positive sequence and negative sequence fundamental filters filter the output of the previous
Figure 2012100327601100001DEST_PATH_IMAGE034
,
Figure 2012100327601100001DEST_PATH_IMAGE036
and
Figure 2012100327601100001DEST_PATH_IMAGE038
,
Figure 2012100327601100001DEST_PATH_IMAGE040
;
Step 4: The two-phase current
Figure 827035DEST_PATH_IMAGE026
,
Figure 470506DEST_PATH_IMAGE028
subtracting the negative sequence fundamental previous filter output result
Figure 805672DEST_PATH_IMAGE038
,
Figure 409960DEST_PATH_IMAGE040
After a positive sequence derived from the difference Fundamental filter filter to get the current two-phase positive sequence fundamental current ,
Figure 2012100327601100001DEST_PATH_IMAGE044
component; Meanwhile, the two-phase current
Figure 364141DEST_PATH_IMAGE026
,
Figure 862118DEST_PATH_IMAGE028
subtracting the fundamental positive sequence previous filter output result
Figure 633765DEST_PATH_IMAGE034
,
Figure 584404DEST_PATH_IMAGE036
draw negative sequence fundamental difference filter filtering through to get the current two-phase negative sequence fundamental current
Figure 2012100327601100001DEST_PATH_IMAGE046
, component;
Step 5: The fundamental positive sequence current filter output two-phase positive sequence fundamental current
Figure 342275DEST_PATH_IMAGE042
,
Figure 694759DEST_PATH_IMAGE044
weight assigned to the
Figure 512673DEST_PATH_IMAGE034
,
Figure 950608DEST_PATH_IMAGE036
corresponding storage registers; At the same time, will also be fundamental negative sequence current filter output two-phase negative sequence fundamental current
Figure 371225DEST_PATH_IMAGE046
,
Figure 719161DEST_PATH_IMAGE048
weight assigned to the
Figure 832610DEST_PATH_IMAGE038
, corresponding storage registers;
Step 6: with two phase positive sequence fundamental currents ,
Figure 919012DEST_PATH_IMAGE044
with two mutually the result that draws of negative phase-sequence fundamental current
Figure 203363DEST_PATH_IMAGE046
,
Figure 615890DEST_PATH_IMAGE048
addition carry out two mutually static
Figure 643889DEST_PATH_IMAGE024
coordinate to three phase static
Figure 700838DEST_PATH_IMAGE022
coordinate transform; Obtain fundametal compoment
Figure 2012100327601100001DEST_PATH_IMAGE050
,
Figure 2012100327601100001DEST_PATH_IMAGE052
,
Figure 2012100327601100001DEST_PATH_IMAGE054
in the three-phase current, the algorithm of coordinate transform is: two mutually static
Figure 765877DEST_PATH_IMAGE024
coordinate is the inverse operation of three phase static
Figure 231810DEST_PATH_IMAGE022
coordinate to two mutually static
Figure 408845DEST_PATH_IMAGE024
coordinate transform to the algorithm of three phase static
Figure 665700DEST_PATH_IMAGE022
coordinate transform;
Step 7: from ,
Figure 156538DEST_PATH_IMAGE004
,
Figure 401706DEST_PATH_IMAGE006
subtracting
Figure 292301DEST_PATH_IMAGE050
,
Figure 89356DEST_PATH_IMAGE052
,
Figure 698192DEST_PATH_IMAGE054
get each phase harmonic current , ,
Figure 2012100327601100001DEST_PATH_IMAGE060
.
2. a kind of positive sequence based on sequence filter according to claim 1, negative phase-sequence and harmonic current detecting method is characterized in that: the transport function of the positive sequence first-harmonic wave filter that adopts in the said step 3 is:
Figure 2012100327601100001DEST_PATH_IMAGE062
In the formula; is the first-harmonic angular frequency of line voltage, and
Figure 2012100327601100001DEST_PATH_IMAGE066
is the bandwidth of positive sequence wave filter;
The transport function of negative phase-sequence first-harmonic wave filter is:
Figure 2012100327601100001DEST_PATH_IMAGE068
In the formula;
Figure 497783DEST_PATH_IMAGE064
is the first-harmonic angular frequency of line voltage, and
Figure 508464DEST_PATH_IMAGE066
is the bandwidth of negative phase-sequence wave filter.
3. a kind of positive sequence based on sequence filter according to claim 2, negative phase-sequence and harmonic current detecting method is characterized in that: the first-harmonic angular frequency of line voltage in said positive sequence wave filter and the negative phase-sequence wave filter
Figure 476420DEST_PATH_IMAGE064
is detected the A phase voltage by frequency detection circuit and obtains.
CN2012100327601A 2012-02-15 2012-02-15 Method for detecting positive sequence, negative sequence and harmonic current based on phase sequence filter Pending CN102590646A (en)

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CN104020341A (en) * 2014-06-20 2014-09-03 哈尔滨工业大学 Novel fundamental wave positive sequence active current detection method
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Application publication date: 20120718