CN106788092A - A kind of PARAMETER IDENTIFICATION OF SYNCHRONOUS MACHINE method based on atom decomposition - Google Patents

A kind of PARAMETER IDENTIFICATION OF SYNCHRONOUS MACHINE method based on atom decomposition Download PDF

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CN106788092A
CN106788092A CN201710112598.7A CN201710112598A CN106788092A CN 106788092 A CN106788092 A CN 106788092A CN 201710112598 A CN201710112598 A CN 201710112598A CN 106788092 A CN106788092 A CN 106788092A
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atom
signal
current
parameter
synchronous machine
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CN106788092B (en
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倪良华
肖李俊
历馨
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Nanjing Institute of Technology
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Nanjing Institute of Technology
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02PCONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS
    • H02P23/00Arrangements or methods for the control of AC motors characterised by a control method other than vector control
    • H02P23/14Estimation or adaptation of motor parameters, e.g. rotor time constant, flux, speed, current or voltage
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02PCONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS
    • H02P9/00Arrangements for controlling electric generators for the purpose of obtaining a desired output
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02PCONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS
    • H02P2103/00Controlling arrangements characterised by the type of generator
    • H02P2103/20Controlling arrangements characterised by the type of generator of the synchronous type
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02PCONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS
    • H02P2207/00Indexing scheme relating to controlling arrangements characterised by the type of motor
    • H02P2207/05Synchronous machines, e.g. with permanent magnets or DC excitation

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  • Engineering & Computer Science (AREA)
  • Power Engineering (AREA)
  • Control Of Ac Motors In General (AREA)

Abstract

The invention discloses a kind of PARAMETER IDENTIFICATION OF SYNCHRONOUS MACHINE method based on atom decomposition, it is characterized in that, comprise the following steps:1) relevant atomic storehouse is built and by atom discretization continuous parameters;2) evolution matching pursuit algorithm is used, fundamental current, DC current, frequency multiplication electric current is quickly extracted from synchronous motor sudden short-circuit current;3) parameter of synchronous machine is extrapolated from each atom signals characteristic parameter for decomposing.The beneficial effect that the present invention is reached:For the deficiency of traditional algorithm, in particular by empirical mode decomposition (EMD) and Prony algorithms it is not good enough to the discomposing effect of Noise signal shorts electric current, noiseproof feature is bad, and this algorithm can exactly extract parameter of synchronous machine, and have preferable noiseproof feature.

Description

A kind of PARAMETER IDENTIFICATION OF SYNCHRONOUS MACHINE method based on atom decomposition
Technical field
The present invention relates to a kind of PARAMETER IDENTIFICATION OF SYNCHRONOUS MACHINE method based on atom decomposition, belong to signal processing technology neck Domain.
Background technology
Accurate PARAMETER IDENTIFICATION OF SYNCHRONOUS MACHINE has important meaning to researching and analysing Operation of Electric Systems and design control system Justice.Wherein, the transient parameter of reflection synchronous motor transient process is calculated and event with power equipment selection, stability of power system Barrier calculating etc. is closely related.
The parameter of synchronous machine measuring method that GB/T1029-2005 is recommended is three-phase suddenly-applied short circuit method, by short circuit The upper and lower envelope extracting cycle component of electric current and aperiodic component.This data processing method obtains the resultant error of transient parameter It is larger.Short circuit current can be represented by exponential functions, and the parameter identification of Prony algorithm tailored index functions, the parameter of extraction Effect is preferable, but Prony algorithms there are problems that determining noise-sensitive and exponent number.
For the limitation of conventional method, and influence of the noise to PARAMETER IDENTIFICATION OF SYNCHRONOUS MACHINE precision, it is proposed that many Improved method, but these improved methods are simultaneously also there are still some drawbacks:
The method that wavelet transformation and Prony are combined, information gathering noise is reduced using wavelet transformation, the parameter for obtaining Error is smaller.By the array signal processing method total least square-constant technology of rotating vector (total least square- Estimation of signal parameters via rotational invariance technology, TLS- ESPRIT) it is applied in PARAMETER IDENTIFICATION OF SYNCHRONOUS MACHINE, signal is carried out into Subspace partition and total least square (total Least square, TLS) dual denoising Processing, anti-noise ability is improved.
PARAMETER IDENTIFICATION OF SYNCHRONOUS MACHINE side based on Hilbert-Huang transform (Hilbert-Huang transform, HHT) Method, based on empirical mode decomposition (empirical mode decomposition, EMD), constitutes a kind of new time domain filter Wave method, obtains preferable identification result under strong noise background.But there is insoluble " end points effect in the EMD signals of HHT Should " problem.
The discrimination method of (local mean decomposition, LMD) is decomposed based on local mean value, identification result is made an uproar Sound shadow rings smaller, but the moving average span selection of LMD also needs further research.
The content of the invention
To solve the deficiencies in the prior art, it is an object of the invention to provide a kind of synchronous motor based on atom decomposition Parameter identification method, intactly shows each local feature of non-stationary signal, can cancelling noise well in parsing Information, improves the precision of PARAMETER IDENTIFICATION OF SYNCHRONOUS MACHINE.
In order to realize above-mentioned target, the present invention is adopted the following technical scheme that:
A kind of PARAMETER IDENTIFICATION OF SYNCHRONOUS MACHINE method based on atom decomposition, it is characterized in that, comprise the following steps:
1) relevant atomic storehouse is built, by atom discretization continuous parameters;
2) evolution matching pursuit algorithm is used, fundamental current, direct current is quickly extracted from synchronous motor sudden short-circuit current Electric current and frequency multiplication electric current;
3) parameter of synchronous machine is extrapolated from each atom signals characteristic parameter for decomposing.
Further, the step 1) particular content be:
11) construction Fundamental atom storehouseIn formula: f1It is fundamental frequency,It is fundamental phase, ts1Carved at the beginning of representing fundamental wave, te1Represent the finish time of fundamental wave;T represents the time Variable;
U (t) is unit jump function;kr1To make | | gr1(t) | |=1 coefficient;
12) using the fundamental wave sinusoidal signal exponentially decayed in short circuit current and the frequency multiplication sinusoidal signal as damping that decays Sinusoidal atom, the damped sine atom of construction is: In formula:f2It is signal frequency,It is phase, ρ2It is attenuation parameter, ts2At the beginning of representing disturbance Carve, te2The finish time of disturbance is represented, u (t) is unit jump function, kr2To make | | gr2(t) | |=1 coefficient;
13) attenuating dc component in current signal, structural damping direct current atom are extractedIn formula:R3=[ρ3,ts3,te3], ρ3It is attenuation coefficient, ts3Expression is opened Time beginning, te3The end time is represented, u (t) is unit jump function, kr3To make | | gr3(t) | |=1 coefficient;
Further, the coefficient value scope in Fundamental atom built-in function is:49HZ≤f1≤ 51HZ, Wherein, N represents the sampled data length of signal i (t) to be analyzed, fsRepresent signal i to be analyzed The sample frequency of (t);
Coefficient value scope in damped sine atom built-in function is:By finger The span of the decay fundamental frequency of the fundamental wave sinusoidal signal of number rule decay is 49HZ≤f2≤ 51HZ, decay frequency multiplication is sinusoidal The span of the component frequencies of signal is 98HZ≤f2≤ 101HZ, attenuation parameter ρ2Scope it is true according to signal oscillating type It is fixed;
Coefficient value scope in decaying dc atom built-in function isAttenuation coefficient ρ3Scope according to Concrete signal feature determines.
Further, the step 2) comprise the following steps:
21) time-frequency atom is decomposed, and is reconstructed;
22) by evolution matching pursuit algorithm, the parameter numerical value of each atom is obtained;
23) Damper Winding synchronous motor Sudden Three-phase Short Circuit electric current is calculated respectively;
By after about tens cycles, comprising only stable state fundamental current and noise electricity in short circuit current after short circuit occurs Stream, stable state fundamental current value is by synchronous motor d-axis reactance xdDetermine;
After interception short circuit current signal stable state fundametal compoment atomic parameter is extracted using atom decomposition.
Further, the step 21) particular content is as follows:
Signal i (t) ∈ H to be analyzed, wherein H represent Hilbert spaces, and D is over-complete dictionary of atoms space, and D ∈ H;
If the corresponding discrete system signal of signal is i (n), grIt is the atom of D, r is combined for atomic, and Γ is coefficient sets Set, r ∈ Γ;Atom is normalized, i.e., | | gr| |=1;The original matched the most with signal i (n) is selected from D Sub- gr(0), i.e. gr(0)It is the atom in D with i (n) inner product maximum absolute values:< in formula, > Represent both inner products;
Signal i (n) is decomposed into gr(0)On component and residual components two parts:I=< i, gr(0)> gr(0)+ri 1, formula Middle ri 1It is that residual components after the 1st subatom is decomposed are carried out to signal i (n);
Decomposition is iterated to the residual components after decomposing every time, iterative formula is ri m=< ri m,gr(m)> gr(m)+ri m +1, gr(m)Meet
After carrying out n iteration, current residual components | | ri m| | it is sufficiently small or decay to 0, then this signal i can approximate representation beikReconstruction signal is designated as, the similarity with primary signal i is
Further, the step 22) particular content is as follows:
221) population is initialized:Define initial population { xij| i=1,2 ..., NP;J=1,2 ..., E1, wherein NP is to plant Group's scale, E1It is optimization space dimensionality;
PressRandomly generate each individual, rand is in formulaIt is interior with Machine number function,It is xijLower limit,It is xijHigher limit;
222) fitness value is calculated:Each population value is substituted into optimization fitness function, each population fitness value is calculated;
223) mutation operation:Three different individualities are chosen for population from current pth, variance component is obtained by difference strategy ForIn formula:I ≠ r1 ≠ r2 ≠ r3, F are scale factor;
224) crossover operation:To current pth for populationAnd its variation vector Vi p+1Crossover operation is carried out, experiment is obtained Body In formula:CR is the crossover probability factor, jrandFor [1, NP] interior random parameter;
225) selection operation:WithBetween individuality of future generation is selected by competing In formula:O () is the fitness function for minimizing optimization problem;
226) repeat step 222) to 225), when maximum iteration is reached or similarity reaches certain value, stop changing In generation, export the parameter numerical value of each atom.
Further, the step 23) in calculate Damper Winding synchronous motor Sudden Three-phase Short Circuit electric current formula be
Wherein, x "dIt is d axle subtranient reactances, x'dIt is d axle transient state reactance, x "qIt is q axle subtranient reactances, Td" it is d axles Transient state damping time constant, Td' it is d axle transient state damping time constants, TaIt is the time constant of stator winding, f0It is electric voltage frequency,It is initial phase angle;It is fundametal compoment,It is harmonic, i01, i02, i03It is direct current Component, e1(t), e2(t), e3T () is noise current component, E represents excitation electric gesture.
Further, the step 223) in F=0.5.
Further, the step 224) in CR=0.9.
Further, the step 3) particular content be:OrderWherein, matched with evolving Tracing algorithm can carry out Atomic Decomposition to short circuit current, obtain the amplitude A of each atom00, A01, A02, A1, A2, damping time constant Td″,Td′,Ta, frequency f0And initial phase angle
Simultaneous solution simultaneously can obtain x using the method averaged "d、x′d、xq″、xd, each time constant is by atom point Atomic parameter direct access after solution.
The beneficial effect that the present invention is reached:For the deficiency of traditional algorithm, in particular by empirical mode decomposition (EMD) and Prony algorithms are not good enough to the discomposing effect of Noise signal shorts electric current, noiseproof feature is bad, and this algorithm can be accurate Ground extracts parameter of synchronous machine, and has preferable noiseproof feature.
Brief description of the drawings
Fig. 1 is the algorithm flow chart of the embodiment of the present invention;
Fig. 2 (a) (b) (c) (d) (e) (f) (g) is that the three short circuit current waveform of the not Noise of the embodiment of the present invention is former Sub- exploded view, corresponds to primary signal figure, DC component figure, steady-state short-circuit fundamental wave figure, decay fundamental wave 1 figure, decay fundamental wave 2 respectively Figure, harmonic figure and reconstruction signal figure;
Fig. 3 (a) (b) (c) (d) (e) (f) (g) is the three short circuit current waveform atom of the Noise of the embodiment of the present invention Exploded view, corresponds to primary signal figure, DC component figure, steady-state short-circuit fundamental wave schematic diagram, decay fundamental wave 1 figure, decay fundamental wave 2 respectively Figure, harmonic figure and reconstruction signal figure.
Specific embodiment
The invention will be further described below in conjunction with the accompanying drawings.Following examples are only used for clearly illustrating the present invention Technical scheme, and can not be limited the scope of the invention with this.
This algorithm is comprised the following steps that:
Step 1) relevant atomic storehouse is built, by atom discretization continuous parameters, particular content is:
Step 11) fundamental wave be sudden short-circuit current main component, in order to analyze its parameter of synchronous machine exactly, it is necessary to Fundametal compoment is extracted, construction Fundamental atom storehouseFormula In:
f1It is fundamental frequency,It is fundamental phase, ts1Carved at the beginning of representing fundamental wave, te1Represent The finish time of fundamental wave;U (t) is unit jump function;kr1To make | | gr1(t) | |=1 coefficient.
Coefficient value scope in Fundamental atom built-in function is:49HZ≤f1≤ 51HZ, Wherein, N represents the sampled data length of signal i (t) to be analyzed, fsRepresent signal i to be analyzed The sample frequency of (t).
Step 12) using the fundamental wave sinusoidal signal exponentially decayed in short circuit current and decay frequency multiplication sinusoidal signal as Damped sine atom, constructing damped sine atom is: In formula:f2It is signal frequency,It is phase, ρ2It is attenuation parameter, ts2At the beginning of representing disturbance Carve, te2The finish time of disturbance is represented, u (t) is unit jump function, kr2To make | | gr2(t) | |=1 coefficient.
Coefficient value scope in damped sine atom built-in function is:By finger The span of the decay fundamental frequency of the fundamental wave sinusoidal signal of number rule decay is 49HZ≤f2≤ 51HZ, decay frequency multiplication is sinusoidal The span of the component frequencies of signal is 98HZ≤f2≤ 101HZ, attenuation parameter ρ2Scope it is true according to signal oscillating type It is fixed.
Step 13) extract current signal in attenuating dc component, structural damping direct current atomIn formula:R3=[ρ3,ts3,te3], ρ3It is attenuation coefficient, ts3Expression is opened Time beginning, te3The end time is represented, u (t) is unit jump function, kr3To make | | gr3(t) | |=1 coefficient.
Coefficient value scope in decaying dc atom built-in function isAttenuation coefficient ρ3Scope according to Concrete signal feature determines.
Step 2) use evolution matching pursuit algorithm, quickly from synchronous motor sudden short-circuit current extract fundamental current, DC current and frequency multiplication electric current, specifically include following steps:
21) time-frequency atom is decomposed, and is reconstructed:Signal i (t) ∈ H, wherein H to be analyzed represents that Hilbert is empty Between, D is over-complete dictionary of atoms space, and D ∈ H;
If the corresponding discrete system signal of signal is i (n), grIt is the atom of D, r is combined for atomic, and Γ is coefficient sets Set, r ∈ Γ;Atom is normalized, i.e., | | gr| |=1;The original matched the most with signal i (n) is selected from D Sub- gr(0), i.e. gr(0)It is the atom in D with i (n) inner product maximum absolute values:< in formula, > Represent both inner products;
Signal i (n) is decomposed into gr(0)On component and residual components two parts:I=< i, gr(0)> gr(0)+ri 1, formula Middle ri 1It is that residual components after the 1st subatom is decomposed are carried out to signal i (n);
Decomposition is iterated to the residual components after decomposing every time, iterative formula is ri m=< ri m,gr(m)> gr(m)+ri m +1, gr(m)Meet
After carrying out n iteration, current residual components | | ri m| | it is sufficiently small or decay to 0, then this signal i can approximate representation beikReconstruction signal is designated as, the similarity with primary signal i is
22) evolution matching pursuit algorithm, obtains the parameter numerical value of each atom, comprises steps that:
221) population is initialized:Define initial population { xij| i=1,2 ..., NP;J=1,2 ..., E1, wherein NP is to plant Group's scale, E1It is optimization space dimensionality;
PressRandomly generate each individual, rand is in formulaIt is interior with Machine number,It is xijLower and upper limit value;
222) fitness value is calculated:Each population value is substituted into optimization fitness function, each population fitness value is calculated;
223) mutation operation:Three different individualities are chosen for population from current pth, variance component is obtained by difference strategy ForIn formula:I ≠ r1 ≠ r2 ≠ r3, F are scale factor, F=0.5 in the present embodiment.
224) crossover operation:To current pth for populationAnd its variation vector Vi p+1Crossover operation is carried out, is tested It is individual In formula:CR is the crossover probability factor, jrandFor [1, NP] interior random parameter, CR=0.9 in the present embodiment.
225) selection operation:WithBetween individuality of future generation is selected by competing In formula:O () is the fitness function for minimizing optimization problem;
226) repeat step 222) to 225), when maximum iteration is reached or similarity reaches certain value, stop changing In generation, export the parameter numerical value of each atom.
23) Damper Winding synchronous motor Sudden Three-phase Short Circuit electric current is calculated respectively, and formula is
Wherein, x "dIt is d axle subtranient reactances, x'dIt is d axle transient state reactance, x "qIt is q axle subtranient reactances, Td" it is d axles Transient state damping time constant, Td' it is d axle transient state damping time constants, TaIt is the time constant of stator winding, f0It is electric voltage frequency,It is initial phase angle.It is fundametal compoment, It is harmonic, i01, i02, i03It is direct current Component, e1(t), e2(t), e3T () is noise current component, E represents excitation electric gesture.
For above-mentioned formula, as t →+∞,
By after about tens cycles, comprising only stable state fundamental current and noise electricity in short circuit current after short circuit occurs Stream, stable state fundamental current value is by synchronous motor d-axis reactance xdDetermine;
After interception short circuit current signal stable state fundametal compoment atomic parameter is extracted using atom decomposition.Short circuit current signal Energy value shared by middle DC component is big, can preferentially be decomposed during Atomic Decomposition and extract its characteristic value, and harmonic is wrapped Energy content is smaller, can then decompose extraction.
Step 3) parameter of synchronous machine is extrapolated from each atom signals characteristic parameter for decomposing, particular content is:OrderWherein, Atomic Decomposition can be carried out to short circuit current, obtain each atom with evolution matching pursuit algorithm Amplitude A00, A01, A02, A1, A2, damping time constant Td ", Td ', Ta, frequency f0And initial phase angleSimultaneous solution and using taking The method of average value can obtain xd ", xd ', xq ", xd, and each time constant is by the atomic parameter direct access after Atomic Decomposition.
According to the embodiment of Fig. 2 and Fig. 3, contrasted with EMD+Prony methods of the prior art respectively:
Not parameter identification result comparison sheet during Noise
Parameter identification result comparison sheet during Noise
The present invention builds relevant atomic storehouse and by atom discretization continuous parameters first, is calculated with evolution match tracing Method, quickly extracts fundamental current, DC current, frequency multiplication electric current from synchronous motor sudden short-circuit current;Then it is each from what is decomposed Parameter of synchronous machine is extrapolated in atom signals characteristic parameter.By intercepting the sampled signal of steady-state shortcircuit current, pick out same Walk the synchronous reactance and short-circuit first phase angle value of motor.Atomic Decomposition method can exactly extract parameter of synchronous machine, and have preferably Noiseproof feature.
The above is only the preferred embodiment of the present invention, it is noted that for the ordinary skill people of the art For member, on the premise of the technology of the present invention principle is not departed from, some improvement and deformation can also be made, these improve and deform Also should be regarded as protection scope of the present invention.

Claims (10)

1. a kind of PARAMETER IDENTIFICATION OF SYNCHRONOUS MACHINE method based on atom decomposition, it is characterized in that, comprise the following steps:
1) relevant atomic storehouse is built, by atom discretization continuous parameters;
2) evolution matching pursuit algorithm is used, fundamental current, DC current is quickly extracted from synchronous motor sudden short-circuit current With frequency multiplication electric current;
3) parameter of synchronous machine is extrapolated from each atom signals characteristic parameter for decomposing.
2. a kind of PARAMETER IDENTIFICATION OF SYNCHRONOUS MACHINE method based on atom decomposition according to claim 1, it is characterized in that, institute State step 1) particular content be:
11) construction Fundamental atom storehouseIn formula: f1It is fundamental frequency,It is fundamental phase, ts1Carved at the beginning of representing fundamental wave, te1Represent the finish time of fundamental wave;T represents the time Variable;
U (t) is unit jump function;kr1To make | | gr1(t) | |=1 coefficient;
12) using the fundamental wave sinusoidal signal exponentially decayed in short circuit current and the frequency multiplication sinusoidal signal as damped sine that decays Atom, the damped sine atom of construction is: In formula:f2It is signal frequency,It is phase, ρ2It is attenuation parameter, ts2At the beginning of representing disturbance Carve, te2The finish time of disturbance is represented, u (t) is unit jump function, kr2To make | | gr2(t) | |=1 coefficient;
13) attenuating dc component in current signal, structural damping direct current atom are extracted In formula:R3=[ρ3,ts3,te3], ρ3It is attenuation coefficient, ts3Represent time started, te3The end time is represented, u (t) is unit rank Jump function, kr3To make | | gr3(t) | |=1 coefficient.
3. a kind of PARAMETER IDENTIFICATION OF SYNCHRONOUS MACHINE method based on atom decomposition according to claim 2, it is characterized in that, base Coefficient value scope in ripple atom built-in function is:49HZ≤f1≤ 51HZ, Wherein, N Represent the sampled data length of signal i (t) to be analyzed, fsRepresent the sample frequency of signal i (t) to be analyzed;
Coefficient value scope in damped sine atom built-in function is:Advised by index The span for restraining the decay fundamental frequency of the fundamental wave sinusoidal signal of decay is 49HZ≤f2≤ 51HZ, decay frequency multiplication sinusoidal signal Component frequencies span be 98HZ≤f2≤ 101HZ, attenuation parameter ρ2Scope according to signal oscillating type determine;
Coefficient value scope in decaying dc atom built-in function isAttenuation coefficient ρ3Scope is according to specific Signal characteristic determines.
4. a kind of PARAMETER IDENTIFICATION OF SYNCHRONOUS MACHINE method based on atom decomposition according to claim 1, it is characterized in that, institute State step 2) comprise the following steps:
21) time-frequency atom is decomposed, and is reconstructed;
22) by evolution matching pursuit algorithm, the parameter numerical value of each atom is obtained;
23) Damper Winding synchronous motor Sudden Three-phase Short Circuit electric current is calculated respectively;
By after about tens cycles, stable state fundamental current and noise current being comprised only in short circuit current after short circuit occurs, Stable state fundamental current value is by synchronous motor d-axis reactance xdDetermine;
After interception short circuit current signal stable state fundametal compoment atomic parameter is extracted using atom decomposition.
5. a kind of PARAMETER IDENTIFICATION OF SYNCHRONOUS MACHINE method based on atom decomposition according to claim 4, it is characterized in that, institute State step 21) particular content is as follows:
Signal i (t) ∈ H to be analyzed, wherein H represent Hilbert spaces, and D is over-complete dictionary of atoms space, and D ∈ H;
If the corresponding discrete system signal of signal is i (n), grIt is the atom of D, r is combined for atomic, Γ is the collection of coefficient sets Close, r ∈ Γ;Atom is normalized, i.e., | | gr| |=1;The atom matched the most with signal i (n) is selected from D gr(0), i.e. gr(0)It is the atom in D with i (n) inner product maximum absolute values:< in formula, > are represented Both inner products;
Signal i (n) is decomposed into gr(0)On component and residual components two parts:I=< i, gr(0)> gr(0)+ri 1, r in formulai 1 It is that residual components after the 1st subatom is decomposed are carried out to signal i (n);
Decomposition is iterated to the residual components after decomposing every time, iterative formula is ri m=< ri m,gr(m)> gr(m)+ri m+1, gr(m) Meet
After carrying out n iteration, current residual components | | ri m| | it is sufficiently small or decay to 0, then this signal i can approximate representation beikReconstruction signal is designated as, the similarity with primary signal i is
6. a kind of PARAMETER IDENTIFICATION OF SYNCHRONOUS MACHINE method based on atom decomposition according to claim 5, it is characterized in that, institute State step 22) particular content is as follows:
221) population is initialized:Define initial population { xij| i=1,2 ..., NP;J=1,2 ..., E1, wherein NP is advised for population Mould, E1It is optimization space dimensionality;
PressRandomly generate each individual, rand is in formulaInterior random number letter Number,It is xijLower limit,It is xijHigher limit;
222) fitness value is calculated:Each population value is substituted into optimization fitness function, each population fitness value is calculated;
223) mutation operation:Three different individualities are chosen for population from current pth, obtaining variance component by difference strategy isIn formula:I ≠ r1 ≠ r2 ≠ r3, F are scale factor;
224) crossover operation:To current pth for populationAnd its variation vector Vi p+1Crossover operation is carried out, experiment is obtained individual In formula:CR is the crossover probability factor, jrandIt is [1, NP] Interior random parameter;
225) selection operation:WithBetween individuality of future generation is selected by competing In formula:O () is the fitness function for minimizing optimization problem;
226) repeat step 222) to 225), when maximum iteration is reached or similarity reaches certain value, stop iteration, it is defeated Go out the parameter numerical value of each atom.
7. a kind of PARAMETER IDENTIFICATION OF SYNCHRONOUS MACHINE method based on atom decomposition according to claim 6, it is characterized in that, institute State step 23) in calculate Damper Winding synchronous motor Sudden Three-phase Short Circuit electric current formula be
Wherein, x "dIt is d axle subtranient reactances, x'dIt is d axle transient state reactance, x "qIt is q axle subtranient reactances, T "dIt is d axles time transient state Damping time constant, T 'dIt is d axle transient state damping time constants, TaIt is the time constant of stator winding, f0It is electric voltage frequency,For Initial phase angle;Corresponding fundametal compoment is, It is corresponding harmonic, i01, i02, i03It is corresponding DC component, e1(t), e2(t), e3T () is corresponding noise current component, E represents excitation electric Gesture.
8. a kind of PARAMETER IDENTIFICATION OF SYNCHRONOUS MACHINE method based on atom decomposition according to claim 6, it is characterized in that, institute State step 223) in F=0.5.
9. a kind of PARAMETER IDENTIFICATION OF SYNCHRONOUS MACHINE method based on atom decomposition according to claim 6, it is characterized in that, institute State step 224) in CR=0.9.
10. a kind of PARAMETER IDENTIFICATION OF SYNCHRONOUS MACHINE method based on atom decomposition according to claim 1, it is characterized in that, The step 3) particular content be:OrderWherein, can be to short-circuit electricity with evolution matching pursuit algorithm Stream carries out Atomic Decomposition, obtains the amplitude A of each atom00, A01, A02, A1, A2, damping time constant Td″,Td′,Ta, frequency f0With Initial phase angle
Simultaneous solution simultaneously can obtain x using the method averaged "d、x′d、x″q、xd, each time constant is by after Atomic Decomposition Atomic parameter direct access.
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CN110069744A (en) * 2018-01-22 2019-07-30 北京航空航天大学 A kind of estimation method of pressure sensor phase step response signals stationary value
CN110069744B (en) * 2018-01-22 2020-11-03 北京航空航天大学 Method for estimating stable value of step response signal of pressure sensor
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CN110071667A (en) * 2019-05-10 2019-07-30 福建省宏闽电力工程监理有限公司 Doubly-fed wind generator parameter identification method
CN110071667B (en) * 2019-05-10 2020-09-25 福建省宏闽电力工程监理有限公司 Doubly-fed wind generator parameter identification method
CN110376517A (en) * 2019-07-31 2019-10-25 国网安徽省电力有限公司电力科学研究院 Determine the method, system and storage medium of Current Waveform Characteristics parameter

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