CN106597099A - Parameter-estimation-based harmonic wave analyzing system - Google Patents
Parameter-estimation-based harmonic wave analyzing system Download PDFInfo
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- CN106597099A CN106597099A CN201611159279.3A CN201611159279A CN106597099A CN 106597099 A CN106597099 A CN 106597099A CN 201611159279 A CN201611159279 A CN 201611159279A CN 106597099 A CN106597099 A CN 106597099A
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- parameter estimation
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- branch road
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R23/00—Arrangements for measuring frequencies; Arrangements for analysing frequency spectra
- G01R23/16—Spectrum analysis; Fourier analysis
Abstract
The invention provides a parameter-estimation-based harmonic wave analyzing system which belongs to the harmonic wave analyzing technology field and comprises branch channels, a multi-channel comprehensive determining module, a saving module and a displaying module. Each group of the branch channels is provided with a data source module, a sequence generator and a parameter estimation module. The signal output ends of the parameter estimation modules of each group of branch channels are connected with the signal input end of the multi-channel comprehensive determining module respectively. According to the invention, a parameter estimation theory is introduced so as to obtain the equivalent impedance and equivalent harmonic electromotive force key information of a power grid harmonic wave. As the traditional manual intervention analysis becomes intelligent assistance, the analyzing efficiency is increased; and the harmonic wave analysis becomes more discrete. The system of the invention also provides diversified input and output formats; the input in the offline analyzing work mode can be historical data; and the input in the online analyzing work mode can be real time measured data. The system can be applied to various occasions flexibly.
Description
Technical field
The invention belongs to frequency analyses technical field.
Background technology
It is with the lifting greatly developed with the productivity of market economy, increasing to the demand of electric power, the thing followed
It is that a large amount of nonlinear loads and new energy equipment access electrical network, causes the harmonic pollution problems of power system more and more tighter
It is high, directly affect the safe life of the stability and equipment of electrical network.
For this purpose, power system has more and more carried out frequency analyses, but traditional frequency analyses system is only stopped
The conventional form stage is being produced, can not be important by automatically analyzing the equivalent electromotive force and equiva lent impedance of acquisition harmonic source etc.
Characteristic information, and after the historical data for measuring is obtained, need artificial substantial amounts of intervention, obtain form.And the shape of form
Formula rest on the block diagram of harmonic amplitude or the day comprising conventional statistic information such as maximum, minima, 95% probits, week,
Moon sheet.As conventional harmonic analyzes the backwardness of theory, system algorithm it is poorly efficient, increasingly affected Harmonious Waves in Power Systems point
The efficiency and accuracy of analysis, and original frequency analyses system is due to a large amount of invalid analyses of backward appearance of theory, or even by mistake
The phenomenon of analysis.
The content of the invention
The frequency analyses demand of new stage can not be met based on the frequency analyses system of early stage, for a plurality of line in region
Road, the present invention propose a kind of frequency analyses system based on parameter estimation, to adapt to the frequency analyses under current complex state.
The present invention includes least one set branch road, multi-line synthetic determination module, memory module and display module, the storage
Module and display module are connected to the signal output part of multi-line synthetic determination module;Each group of branch road is provided with data source mould
Block, sequencer and parameter estimation module, the signal output part of data source modules are connected to the signal input of sequencer
End, the signal output part of sequencer are connected to the signal input part of parameter estimation module, the parameter estimation of each group of branch road
The signal output part of module connects the signal input part of multi-line synthetic determination module respectively.
The harmonic parameters estimation module of each group of branch road is for the grouphSubharmonic equivalent circuit, it is using monitoring
PointhSubharmonic voltage and electric current are estimating the circuithSubharmonic equivalent electromotive force and equiva lent impedance.
The signal of data source modules of the present invention output be the real time data of real-time monitoring Harmonic Detecting Device output or
For the of historynIt is individualhSubharmonic voltage amplitudeAnd phase angle、hSubharmonic current amplitudeAnd phase angle。
Data source modules can be scene lay real-time monitoring Harmonic Detecting Device output real time data, or
Storage historgraphic data recording in a hard disk.That is, the input of the present invention can make various, real-time number can be both received
According to carrying out online parameter estimation, it is also possible to carry out offline parameter estimation to historical data, be specifically dependent upon practical application field
Close.
Sequencer, parameter estimation module and multi-line synthetic determination module be run on it is right in hardware handles equipment
The software code answered.Multi-line synthetic determination module is acquired for the result that M parameter estimation module is exported, and according to
The target line and the error flag of parameter estimation module of user's setting judged, mistake and needs the generation daily record for showing
Storage in a storage module, and is sent to user by display module, can find in time so as to user, solve problem.
Hardware handles equipment can be a PC, or a high performance server.In view of data
Amount and arithmetic speed, typically a set of high performance server, to reach quick analytical calculation.The present invention is aobvious by display
Show the output information that will be shown, storage device is jumbo harddisk memory, for storing the result of analysis.
The data that the sequencer will be exported by data source modules, according to time domain ascending order by harmonic voltage, electric current wink
Duration is sent to parameter estimation module.
According to below equation, calculating obtains harmonic voltage value of real part to the parameter estimation module of each group of branch road respectively, it is humorous
Wave voltage imaginary values, harmonic current value of real partHarmonic electric current imaginary values:
Wherein,n=1,2 ...,N;hFor the big integer value equal to 1;
The parameter estimation module of each group of branch road calculates matrix using below equation againA h And vectorB h :
;
;
Order;
For harmonic source parameter equivalent resistance value;For the estimated value of harmonic source parameter equivalent reactance;
Harmonic source parameter estimation computing formula is:
;
Make Persistent Excitation value;
More than h ForhSubharmonic;
IfD h For Persistent Excitation threshold value,D h For 0.1~1.0;
The parameter estimation module of each group of branch road is calculated respectively by below equationhThe estimated value of subharmonic equivalent electromotive forceWithhThe estimated value of subharmonic equiva lent impedance:
;
。
Traditional manual analyses are changed into intelligent analysis by the present invention, introduce parameter estimation theories, draw traditional dividing
The equiva lent impedance and Equivalent Harmonic electromotive force key message of the mains by harmonics that analysis system cannot be obtained, traditional manpower intervention analysis
Intelligent auxiliary is converted into, the efficiency of analysis is improved, the preciseness of frequency analyses is improved.
The present invention also variation with input/output format, under off-line analysiss mode of operation, input can be history number
According to on-line analyses pattern can survey real time data, and application scenario is flexible and varied.
Harmonic parameters estimation module in each branch road of the present invention is for 1 circuithSubharmonic equivalent circuit, it is
Using monitoring pointhSubharmonic voltage and electric current are estimating the circuithSubharmonic equivalent electromotive force and equiva lent impedance.
It ishSubharmonic equivalent electromotive force,It ishSubharmonic equiva lent impedance,It is monitoring pointhSubharmonic voltage,It is monitoring pointhSubharmonic current.
、Referred to as harmonic source parameter,、It is slowly varying.、It is that parameter, Mei Geyi are surveyed in monitoring point
The fixed time provides 1 group of actual measurementWith--- referred to as instantaneous value,、It is stationary random process.
Due to harmonic source parameterWithBe slowly varying, need 1 subharmonic source parameter to be carried out per N number of data sequence
Estimate, exactly 1 group of harmonic source estimates of parameters is calculated with N number of harmonic voltage, current instantaneous valueWith,,。
If ignoring the mark of A, B, C phase, thenIt is individualhSubharmonic voltage amplitude and phase angle can be designated as respectivelyWith、h
Subharmonic current amplitude and phase angle can be designated as respectivelyWith, according to、、、Calculate first:
(11)
(12)
(13)
(14)
.Then by N groups}()Substitute into lower column matrixA h And vectorB h :
(15)
(16)
Definition(17)
Wherein,、, respectively be harmonic source parameter equivalent resistance and equivalent reactance estimated value.
Harmonic source parameter estimation computing formula is:
(18)
4 × 4 matrixes in above-listed formulaReversibility determine whether measurement data meets persistent excitation condition --- ginseng
The primary condition that number is estimated.Order
(19)
Define one " Persistent Excitation threshold value " ---D h ,D h 0.1~1.0 is taken typically.
If calculatedd h <D h , then this group of measurement data do not meet persistent excitation condition --- this group of parameter estimation
As a result must abandon.
If certain monitoring point has the parameter estimation result of more than half to be dropped, then it is assumed that the monitoring point does not meet persistently swashs
Encourage condition --- it is illustrated in output result, the monitoring point to not meeting persistent excitation condition should not provide parameter estimation knot
Really.
Finally calculatehThe estimated value of subharmonic equivalent electromotive force:
hThe estimated value of subharmonic equiva lent impedance:
Further, the parameter estimation module of each group of branch road of the invention is judged by cache module, matrix calculus module and evaluation and test
Module is constituted, and the signal output part of the sequencer of this group of branch road is connected to the signal input part of cache module, cache module
Signal output part be connected to the signal input part of matrix calculus module, the signal output part of matrix calculus module is connected to evaluation and test
The signal input part of determination module;The signal output part of the evaluation and test determination module of each group branch road is connected to multi-line and comprehensively sentences
The signal input part of cover half block.
The present invention distinguishes the outstanding advantages with existing like product:
1st, existing like product only possesses harmonic wave conventional analyses function, does not possess harmonic wave equivalent electromotive force harmonic equiva lent impedance
Analytic function, this product filled up frequency analyses system in harmonic source equivalent electromotive force and the blank of equiva lent impedance content.
2nd, existing like product only monitors points of common connection(PCC)Harmonic amplitude or containing ratio size, it is impossible to obtain
The parameter distribution result of the harmonic source of every circuit in region is obtained, the present invention can obtain the harmonic parameters of a plurality of circuit in region
Distribution, overcomes prior art defect.
Description of the drawings
Fig. 1 is the theory diagram of the present invention.
Fig. 2 is the theory diagram of the parameter estimation module of the present invention.
Specific embodiment
The invention provides a kind of utilization parameter estimation calculates the skill of line harmonic source equivalent electromotive force and equivalent resistance
Art scheme.
Shown in Figure 1, the present invention is by 1 to M group branch roads, multi-line synthetic determination module 1, memory module 2 and shows mould
Block 3 is constituted.Memory module 2 and display module 3 are connected to the signal output part of multi-line synthetic determination module 1.
Above M is the integer value more than 1 less than 100.
Each group of branch road is provided with data source modules 41, sequencer 42 and parameter estimation module 43, data source modules 41
Signal output part be connected to the signal input part of sequencer 42, the signal output part of sequencer 42 is connected to
The signal input part of parameter estimation module 43, the signal output part of the parameter estimation module 43 of each group of branch road connect multi-thread respectively
The signal input part of road synthetic determination module 1.
As shown in Figure 1, the present invention can carry out parameter estimation, and synthetic determination harmonic source to the harmonic data source of a plurality of circuit
The distribution situation in each circuit of parameter, and the result of parameter estimation can be made analysis by multi-line synthetic determination module 1
After store and be shown to user and check.Display device is LCD display, and storage device is jumbo harddisk memory.
As shown in Fig. 2 the parameter estimation module of each group of branch road is by cache module 431, matrix calculus module 432 and evaluation and test
Determination module 433 is constituted, and the signal output part of the sequencer 42 of this group of branch road is connected to the signal input of cache module 431
End, the signal output part of cache module 431 are connected to the signal input part of matrix calculus module 432, matrix calculus module 432
Signal output part is connected to the signal input part of evaluation and test determination module 433.The signal of the evaluation and test determination module 433 of each group branch road is defeated
Go out the signal input part that end is connected to multi-line synthetic determination module 1.
If Real Time harmonic analysis, then parameter estimation module 43 is provided from the data source that sequencer 42 is transmitted out
Value, is first stored in cache module 431, when having received the laggard row matrix computing of N number of value.It is also performed to after the completion of matrix operationss
Parameter estimation availability deciding, the foundation matrix of availability decidingIt is whether reversible, if matrixIt is reversible, then accord with
The supposed premise of Persistent Excitation is closed, the primary condition of parameter estimation if irreversible, is not met.The condition of equivalence of matrix's reversibility is
Determinant is not zero.To matrixDeterminant is sought, if result is less than the Persistent Excitation threshold value for defining, then it is assumed that
Ineligible, this harmonic parameters estimated result fails.If eligible, output results to the synthesis shown in Fig. 2 and sentence
Cover half block.
The data message of the collection of each data source modules 41 can be the real-time monitoring Harmonic Detecting Device output that scene is laid
Real time data, it is also possible to the historgraphic data recording being stored in hard disk.That is, the input of the present invention can make it is various
, you can online parameter estimation is carried out to receive real time data, it is also possible to offline parameter estimation is carried out to historical data, have
Body depends on practical application.
Each sequencer 41, parameter estimation module 43 and multi-line synthetic determination module 1 are set to run on hardware handles
Corresponding software code in standby.Hardware handles equipment can be a PC, or a high performance service
Device.In view of data volume and arithmetic speed, typically a set of high performance server, to reach quick analytical calculation.
The signal of data source modules output is the real time data of real-time monitoring Harmonic Detecting Device output or for the of historyn
It is individualhSubharmonic voltage amplitudeAnd phase angle、hSubharmonic current amplitudeAnd phase angle。
The data that sequencer will be exported by data source modules, according to time domain ascending order by harmonic voltage, current instantaneous value
It is sent to parameter estimation module.
According to below equation, calculating obtains harmonic voltage value of real part to the parameter estimation module of each group of branch road respectively, it is humorous
Wave voltage imaginary values, harmonic current value of real partHarmonic electric current imaginary values:
Wherein,n=1,2 ...,N;hFor the big integer value equal to 1.
The parameter estimation module of each group of branch road calculates matrix using below equation againA h And vectorB h :
;
;
Order;
More thanFor harmonic source parameter equivalent resistance value;For the estimated value of harmonic source parameter equivalent reactance.
Harmonic source parameter estimation computing formula is:
。
Make Persistent Excitation value 。
More than h ForhSubharmonic.
IfD h For Persistent Excitation threshold value,D h For 0.1~1.0.
The parameter estimation module of each group of branch road is calculated respectively by below equationhThe estimation of subharmonic equivalent electromotive force
ValueWithhThe estimated value of subharmonic equiva lent impedance:
;
。
There are M groups in this example, when such as M is 10, then estimation acquirement each group is corresponding respectively for the parameter estimation module of each group of branch road
'shThe estimated value of subharmonic equivalent electromotive forceWithhThe estimated value of subharmonic equiva lent impedance, have the estimation of 10 groups of branch roads
Value gathers acquisition by multi-line synthetic determination module 1 respectively.
Display module 3 shown in Fig. 1 can show the harmonic source of each harmonic that the parameter estimation of single group circuit is obtained
The trendgram of equivalent electromotive force, equivalent resistance and harmonic current, it is also possible to choose certain first harmonic, by the harmonic wave of all circuits
Electric current overview display out, can be clearly seen not the harmonic current size and variation tendency of each circuit in the same time.Show
Mode can be selected as form and trendgram.
From Figure 2 it can be seen that some group voltage x current sequences of the input of each parameter estimation module 43 for corresponding certain circuit
Row, again by evaluation and test 433 pairs of results calculated of determination module after data cache module 431 and matrix operationss module 432
Effectiveness judged, such asd h <D h , then this group of measurement data do not meet persistent excitation condition, this group of parameter estimation result quilt
Multi-line synthetic determination module 1 is abandoned;If certain monitoring point has the parameter estimation result of more than half to be dropped, then it is assumed that the prison
Measuring point does not meet persistent excitation condition --- it is illustrated in output result, the monitoring point to not meeting persistent excitation condition should not
Provide parameter estimation result.Calculated to the multi-line synthetic determination module 1 of rear end, the otherwise ginseng to this if effectively
Error flag is made in number estimation.
Multi-line synthetic determination module 1 is acquired for the result that M parameter estimation module is exported, and according to user
The error flag of the target line and parameter estimation module of setting judged, mistake and the generation daily record storage for needing to show
In memory module 2, and user is sent to by display module 1, can be found in time so as to user, solve problem.
Claims (2)
1. a kind of frequency analyses system based on parameter estimation, it is characterised in that comprehensively sentence including least one set branch road, multi-line
Cover half block, memory module and display module, the memory module and display module are connected to multi-line synthetic determination module
Signal output part;Each group of branch road is provided with data source modules, sequencer and parameter estimation module, the letter of data source modules
Number outfan is connected to the signal input part of sequencer, and the signal output part of sequencer is connected to parameter estimation module
Signal input part, the signal output part of the parameter estimation module of each group of branch road connects multi-line synthetic determination module respectively
Signal input part;
The signal of data source modules output is the real time data of real-time monitoring Harmonic Detecting Device output or for the of historyn
It is individualhSubharmonic voltage amplitudeAnd phase angle、hSubharmonic current amplitudeAnd phase angle;
The data that the sequencer will be exported by data source modules, according to time domain ascending order by harmonic voltage, current instantaneous value
It is sent to parameter estimation module;
According to below equation, calculating obtains harmonic voltage value of real part to the parameter estimation module of each group of branch road respectively, harmonic wave electricity
Pressure imaginary values, harmonic current value of real partHarmonic electric current imaginary values:
Wherein,n=1,2 ...,N;hIt is the integer value more than or equal to 1;
The parameter estimation module of each group of branch road calculates matrix using below equation againA h And vectorB h :
;
;
Order;
For harmonic source parameter equivalent resistance value;For the estimated value of harmonic source parameter equivalent reactance;
Harmonic source parameter estimation computing formula is:
;
Make Persistent Excitation value;
More than h ForhSubharmonic;
IfD h For Persistent Excitation threshold value,D h For 0.1~1.0;
The parameter estimation module of each group of branch road is calculated respectively by below equationhThe estimated value of subharmonic equivalent electromotive force
WithhThe estimated value of subharmonic equiva lent impedance:
;
。
2. frequency analyses system according to claim 1 based on parameter estimation, it is characterised in that the parameter of each group of branch road
Estimation module is made up of cache module, matrix calculus module and evaluation and test determination module, the signal of the sequencer of this group of branch road
Outfan is connected to the signal input part of cache module, and the signal output part of cache module is connected to the signal of matrix calculus module
Input, the signal output part of matrix calculus module are connected to the signal input part of evaluation and test determination module;The evaluation and test of each group branch road
The signal output part of determination module is connected to the signal input part of multi-line synthetic determination module.
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