CN108828301A  A kind of method for detecting voltage drop based on complex wavelet transform Yu Teager energy operator  Google Patents
A kind of method for detecting voltage drop based on complex wavelet transform Yu Teager energy operator Download PDFInfo
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 CN108828301A CN108828301A CN201810188014.9A CN201810188014A CN108828301A CN 108828301 A CN108828301 A CN 108828301A CN 201810188014 A CN201810188014 A CN 201810188014A CN 108828301 A CN108828301 A CN 108828301A
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 G—PHYSICS
 G01—MEASURING; TESTING
 G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
 G01R19/00—Arrangements for measuring currents or voltages or for indicating presence or sign thereof
 G01R19/165—Indicating that current or voltage is either above or below a predetermined value or within or outside a predetermined range of values
 G01R19/16533—Indicating that current or voltage is either above or below a predetermined value or within or outside a predetermined range of values characterised by the application
 G01R19/16538—Indicating that current or voltage is either above or below a predetermined value or within or outside a predetermined range of values characterised by the application in AC or DC supplies
 G01R19/16547—Indicating that current or voltage is either above or below a predetermined value or within or outside a predetermined range of values characterised by the application in AC or DC supplies voltage or current in AC supplies

 G—PHYSICS
 G01—MEASURING; TESTING
 G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
 G01R25/00—Arrangements for measuring phase angle between a voltage and a current or between voltages or currents
Abstract
The invention discloses a kind of method for detecting voltage drop based on complex wavelet transform Yu Teager energy operator obtains the original singlephase voltage drop signal in power distribution network, carries out analogtodigital conversion to original singlephase voltage drop signal, converts analog signals into digital signal；Suitable real small echo is chosen, the digital signal of acquisition is decomposed using reality small echo Mallat, obtains the approximate signal and detail signal of Voltage Drop signal.The detection of Teager energy operator progress Voltage Drop amplitude is used to the approximate signal of acquisition；To the start/stop time that the detail signal of acquisition is occurred using modulus maximum detection Voltage Drop, the Phase information of the reality small echo is constructed, complex wavelet transform is carried out to Voltage Drop signal, detects the jump phase that Voltage Drop signal occurs.The phase information of Voltage Drop can not be detected for traditional wavelet and to the deficiency of amplitude detection, the present invention is able to achieve detection accurate to Voltage Drop, realtime, complete, provide foundation for the effective compensation of Voltage Drop.
Description
Technical field
The present invention relates to Power Quality Detection fields, more particularly to one kind is based on complex wavelet transform and Teager energy operator
Method for detecting voltage drop.
Background technique
With progress of the epoch, the effect that electric energy plays in social production and daily life is increasing.With
Continuing on for diversification load, the power quality problem as caused by nonlinear load is increasing；At the same time, with new
The emergence of emerging electronic equipment, requirement of the people to power quality are continuously improved, and the electric energy of high quality has become the epoch
Demand.And Voltage Drop is that power quality problem the most frequent occurs in electric system, it can make the electricity units such as factory
At huge economic loss, then needing effectively to compensate it, such as fall voltage using dynamic electric voltage recovery device
The compensation fallen.It is the characteristic quantity for detecting it effectively in real time to the premise that Voltage Drop compensates, and Voltage Drop has three
A characteristic quantity：Fall amplitude, duration, jump phase；Detection accurate to these three characteristic quantities, realtime, complete extremely has
It is necessary.
The timefrequency window of wavelet transformation has adaptivity, and Time Frequence Analysis characteristic is good, effectively overcomes Fourier in shortterm
The deficiency in transient signal context of detection is converted, the feature of the Short Duration Power Quality Disturbances signal such as Voltage Drop can be accurately detected
Value, is used widely in Power Quality Detection.
The start/stop time of Voltage Drop generation is accurately positioned by singular points for wavelet transformation, but when voltage falls
Life shave one's head near zerocrossing point, Signal Singularity is small, is mutated almost without amplitude, it is difficult to pass through the effective detected amplitude of wavelet transformation
Variation；And and common real valued wavelet transform can only provide the amplitudefrequency characteristic of signal, cannot make full use of the phase information of signal,
Influence the integrality of detected signal information.
The periodical of electrotechnics journal the 5th phase of volume 26《In conjunction with the voltage dip detection side of wavelet transformation and energy operator
Method》It is proposed the detection method by wavelet transformation in conjunction with energy operator, can effectively detect Voltage Drop falls amplitude and hair
Raw start/stop time, but two characteristic quantities of Voltage Drop can only be detected.
Summary of the invention
The present invention can not detect the phase information of Voltage Drop and the deficiency to amplitude detection for traditional wavelet,
It is proposed a kind of method for detecting voltage drop based on complex wavelet transform Yu Teager energy operator.
The technical solution adopted by the present invention is as follows：
Include the following steps：
Step 1, the original singlephase voltage drop signal in power distribution network is obtained, mould is carried out to original singlephase voltage drop signal
Number conversion, including original singlephase voltage drop signal is sampled, slidingmodel control, convert analog signals into digital letter
Number；
Step 2, suitable real small echo is chosen, the digital signal of acquisition is decomposed using reality small echo Mallat, obtains voltage
The approximate signal (low frequency component) and detail signal (high fdrequency component) of drop signal；
Step 3, the detection of Voltage Drop amplitude is carried out using Teager energy operator to the approximate signal of acquisition；To acquisition
Detail signal using modulus maximum detection Voltage Drop occur start/stop time；
Step 4, the Phase information for constructing the reality small echo carries out complex wavelet transform to Voltage Drop signal, detects voltage
The jump phase that drop signal occurs.
Further, the detecting step of Teager energy operator progress Voltage Drop amplitude includes in the step 3：
Step 3.1, three adjacent singlephase voltage drop signal point x after slidingmodel control are chosen_{n}、x_{n+1}And x_{n1}Tracking should
The energy curve of signal,
Step 3.2, it according to energy curve, constructs Teager energy operator ψ ()：
Step 3.3, differential signal is constructed, show that singlephase voltage drop signal falls amplitude；Specific method is：
If singlephase voltage drop signal point x_{n}=Acos (Ω n+ φ) and its two neighbouring sample point x_{n+1}And x_{n1}Structure
At symmetrical differential signals：
s_{n}=[(x_{n+1}x_{n})+(x_{n}x_{n1})]/2=[x_{n+1}x_{n1}]/2=Asin Ω sin (Ω n+ φ) (2)；
Obtain differential signal s_{n}Energy operator be：
ψ(s_{n})=A^{2}sin^{4}Ω (3)；
It is obtained by formula (1) and formula (3)：
The amplitude of the frequency and Voltage Drop that obtain signal is as follows：
Wherein,Indicate energy of the signal at n；Ω is digital angular frequency, is indicated between each sampled point
Radian；φ is the initial phase angle of signal；A indicates the peak value of signal, is virtual valueTimes.
Further, the specific method of the start/stop time occurred in the step 3 using modulus maximum detection Voltage Drop
For：
The wavelet coefficient that will be obtained after wavelet transformationIt is compared one by one, after comparing, big wavelet coefficient is kept
Initial value, it is small that the wavelet coefficient of corresponding position is set 0, a maximum has been obtained one by one, has been fallen to obtain voltage
Falling signal starts the wavelet coefficient with the nonzero value of end position, that is, located the start/stop time of Voltage Drop generation.
Further, it is to the method for Voltage Drop signal progress complex wavelet transform in the step 4：
Step 4.1, according to real valued wavelet transform theory, the wavelet coefficient of real valued wavelet transform is obtainedScale coefficientImaginary part wavelet coefficientWith imaginary part scale coefficient
Wherein, x (t) is Voltage Drop signal；ψ^{h}(2^{j}It tn is) real part of selected small echo；For selected scale
The real part of function；ψ_{g}(2^{j}It tn is) imaginary part of selected small echo；For the imaginary part of selected scaling function；J is positive integer；
Step 4.2, the wavelet coefficient of complex wavelet transform is obtainedWith scale coefficient
Step 4.3, the scaling function complex coefficient that Voltage Drop signal x (t) is obtained after complex wavelet transform is WT_{C},
WT_{c}=WT_{Re}+iWT_{Im}(11)；
Wherein, WT_{Re}For the real part of scaling function, WT_{Im}For the imaginary part of scaling function.
Coefficient amplitude and phase after complex wavelet transform are respectively：
WT_{PH}=arctan (WT_{Im}/WT_{Re}) (12)；
Wherein complex wavelet transform algorithm is used to detect the jump phase of Voltage Drop generation, and Teager energy operator algorithm is used
Fall amplitude in detection voltage, to realize detection accurate to Voltage Drop characteristic quantity, realtime, complete.
Beneficial effects of the present invention：
1. three consecutive points x that the Teager energy operator that the present invention is mentioned utilizes discrete signal_{n}、x_{n+1}And x_{n1}It can chase after
The energy curve of the track signal.Therefore, it has good temporal resolution for the transient change of signal, can quickly examine
The amplitude surveyed in Voltage Drop signal is fallen.
2. the wavelet transformation that the present invention is mentioned has both High frequency filter effect, weaken or remove the high frequency in temporarily drop disturbing signal
Ingredient, to improve antiinterference and computational accuracy that amplitude is fallen in the detection of Teager energy operator.
3. the complex wavelet transform that the present invention is mentioned, the real part of coefficient reflects analyzed signal in Phase information after the conversion
The amplitude information after real valued wavelet transform in real part space；Its imaginary part reflects analyzed signal in the imaginary part space of Phase information
Real valued wavelet transform after amplitude information；And the real part of coefficient and the relationship of imaginary part after converting, the i.e. phase of coefficient are uniquely anti
The jump phase of Voltage Drop signal has been reflected, therefore can more comprehensively analyze the fine feature letter of Voltage Drop signal in detail
Breath.
4. the present invention is for the compensation of Voltage Drop, since traditional amplitude detection algorithm usually samples a cycle number
According to, it needs to use historical data, detects and there is delay phenomenon, and wavelet transformation is very sensitive to singular signal, therefore can be more
The fast start/stop time for detecting Voltage Drop；By complex wavelet transform in conjunction with teager energy operator amplitude detection algorithm,
When complex wavelet transform detects that Voltage Drop occurs, the offset voltage of certain smallamount is given with dynamic electric voltage recovery device immediately,
Substantially increase the response speed of offset voltage.
Detailed description of the invention
Fig. 1 is the main flow of method for detecting voltage drop；
Fig. 2 is a kind of system block diagram based on complex wavelet transform Yu the method for detecting voltage drop of Teager energy operator.
Specific embodiment
In order to make the objectives, technical solutions, and advantages of the present invention clearer, with reference to the accompanying drawings and embodiments, right
The present invention is further elaborated.It should be appreciated that described herein, the specific embodiments are only for explaining the present invention, not
For limiting the present invention.
As shown in Figure 1, a kind of Voltage Drop based on complex wavelet transform Yu Teager energy operator of proposition of the invention
Detection method, using following technical scheme：
Step 1, the original singlephase voltage drop signal in power distribution network is obtained, mould is carried out to original singlephase voltage drop signal
Number conversion, including original singlephase voltage drop signal is sampled, slidingmodel control, convert analog signals into digital letter
Number；
Step 2, suitable real small echo is chosen, the digital signal of acquisition is decomposed using reality small echo Mallat, obtains voltage
The approximate signal (low frequency component) and detail signal (high fdrequency component) of drop signal；
Step 3, the detection of Voltage Drop amplitude is carried out using Teager energy operator to the approximate signal of acquisition；To acquisition
Detail signal using modulus maximum detection Voltage Drop occur start/stop time；The specific steps are：
Step 3.1, three adjacent singlephase voltage drop signal point x after slidingmodel control are chosen_{n}、x_{n+1}And x_{n1}Tracking should
The energy curve of signal,
Teager energy operator (TEO) is for oscillatory system x (t)=Acos (ω t+ φ), energy and angular frequency and letter
Number peak value is at correlation, i.e.,
E∝ω^{2}A^{2}(1)；
Oscillator signal x (t) is sampled, discrete signal point is obtained：
x_{n}=A cos (Ω n+ φ) (2)；
(2) in formula, the π of Ω=2 f_{0}/f_{s}For digital angular frequency, f_{0}For fundamental frequency, f_{s}For sample frequency；φ is any initial phase angle；
Three consecutive points constitute equation group on discrete signal：
Using trigonometric identity solution above equation group, obtain：
A^{2}sin^{2}Ω=x^{2}x_{n+1}x_{n1}(4)；
When Ω is limited in Ω < π/4=0.7845, i.e. f_{0}/f_{s}When < 1/8, the relative error of sin Ω and both Ω is less than
11%, can approximation have sin Ω ≈ Ω, at this point, can be equivalent to：
A^{2}Ω^{2}≈x_{n} ^{2}x_{n+1}x_{n1}(5)；
Step 3.2, it according to energy curve, constructs Teager energy operator ψ ()：
Step 3.3, differential signal is constructed, show that singlephase voltage drop signal falls amplitude；Specific method is：
If singlephase voltage drop signal point x_{n}=A cos (Ω n+ φ) and its two neighbouring sample point x_{n+1}And x_{n1}Structure
At symmetrical differential signals：
s_{n}=[(x_{n+1}x_{n})+(x_{n}x_{n1})]/2=[x_{n+1}x_{n1}]/2=A sin Ω sin (Ω n+ φ) (7)；
Obtain differential signal s_{n}Energy operator be：
ψ(s_{n})=A^{2}sin^{4}Ω (8)；
It is obtained by formula (7) and formula (8)：
The amplitude of the frequency and Voltage Drop that obtain Voltage Drop signal is as follows：
Wherein,Indicate energy of the signal at n；Ω is digital angular frequency, is indicated between each sampled point
Radian；φ is the initial phase angle of signal；A indicates the peak value of signal, is virtual valueTimes.
Use modulus maximum detection Voltage Drop occur start/stop time specific method for：It will be obtained after wavelet transformation
Wavelet coefficientIt is compared one by one, after comparing, big wavelet coefficient keeps initial value, the small small echo by corresponding position
Coefficient sets 0, one by one more i.e. obtained a maximum, thus obtain Voltage Drop signal start it is nonzero with end position
The wavelet coefficient of value located the start/stop time of Voltage Drop generation.
Step 4, the Phase information for constructing the reality small echo carries out complex wavelet transform to Voltage Drop signal, detects voltage
The jump phase that drop signal occurs, the specific steps are：
Step 4.1, according to real valued wavelet transform theory, the wavelet coefficient of real valued wavelet transform is obtainedScale coefficientImaginary part wavelet coefficientWith imaginary part scale coefficient
Wherein, x (t) is Voltage Drop signal；ψ_{h}(2^{j}It tn is) real part of selected small echo；For selected scale
The real part of function；ψ_{g}(2^{j}It tn is) imaginary part of selected small echo；For the imaginary part of selected scaling function；J is positive integer；
Step 4.2, the wavelet coefficient of complex wavelet transform is obtainedWith scale coefficient
Step 4.3, the scaling function complex coefficient that Voltage Drop signal x (t) is obtained after complex wavelet transform is WT_{C},
WT_{c}=WT_{Re}+iWT_{Im}；
Coefficient amplitude and phase after complex wavelet transform are respectively：
WT_{PH}=arctan (WT_{Im}/WT_{Re}) (16)；
Wherein, WT_{Re}For the real part of scaling function, WT_{Im}For the imaginary part of scaling function.
Complex wavelet transform does real valued wavelet transform simultaneously on two orthogonal intersection spaces to signal x (n), provides two orthogonal intersection spaces
Information, not only the amplitude components of available similar real valued wavelet transform, also obtain into two orthogonal intersection spaces between signal component
Distinctive phase relation can analyze the jump phase of the generation of Voltage Drop signal in detail comprehensively.
The real part of Phase information with imaginary part be it is orthogonal, i.e., the complex wavelet transform of signal f (t, y) be actually by signal f (t,
Y) make real valued wavelet transform simultaneously respectively along two orthogonal intersection spaces, the real part and imaginary part of acquired coefficient undoubtedly will comprising signal f (t,
Y) the signal component information in the two spaces, and the real part that real valued wavelet transform obtains only has original signal f (t, y) in a sky
Between in signal component information；Meanwhile unique pass between the signal component in two orthogonal intersection spaces is also obtained in complex wavelet transform
It is information arctan (IWT/RWT).In this way, in original signal f (t, y) unique orthogonal signal component t and y relationship arctan
(y/t) it has just been transmitted to by complex wavelet transform in the phase of transformed coefficient.
If analyzed with the angle of mapping, in analyzed Voltage Drop signal, phase can regard as the time with
Relationship between two orthogonal signalling of amplitude, this relationship will be mapped to the real part and imaginary part of transformation coefficient after passing through complex wavelet transform
Relationship, i.e., in the phase of coefficient.
As shown in Fig. 2, detection system of the invention contains voltage acquisition module, analogtodigital conversion module, DSP operation control
Module；And drive level conversion module and Voltage Drop main compensation circuit are used to control the voltage that compensation is fallen.Wherein：
Voltage acquisition module is made of Hall sensor, is responsible for acquisition distribution network voltage.
Analogtodigital conversion module uses the ADC conversion chip ADS8364 of TI company, is responsible for collected voltage analog signal
It is converted into can be used for the digital signal of DSP calculating.DSP operation control module uses TMS320F28335 chip, is responsible for realizing knot
Close a kind of novel integrated detection method of Phase information algorithm and Teager energy operator algorithm.
Drive level conversion module is responsible for the offset voltage operation of abovementioned voltage and feedback obtaining driving signal, then inputs
Driving signal is become pulse width and the equivalent PWM waveform of sine wave, so that driving signal is controlled master by SPWM modulator
The on off operating mode of IGBT in circuit, so that controlling dynamic electric voltage recovery device exports certain offset voltage.
Voltage Drop main compensation circuit structure is by direct current capacitors (energy storage device), inverter circuit, LC filter circuit, series connection
Transformer composition.When system voltage falls, the dropoff voltage of power grid is detected by detection system and generates instruction letter
Number, then a tentering is injected to feeder line through wave filter and transformer for after the DC voltage conversion of energystorage system by inverter
The AC compensation voltage of value and phase angle, makes load side voltage be restored to normal value, it is ensured that the normal operation of sensibility load.
The detection algorithm of DSP operation control module as shown in Figure 1, Voltage Drop signal is carried out real valued wavelet transform first,
Detail signal and approximate signal are resolved into using Mallat algorithm；Wherein approximate signal is low frequency component, and detail signal is high frequency
Component；Then amplitude detection is carried out to the approximate signal for filtering out high fdrequency component using Teger energy operator；Detail signal can use mould
Maximum Approach processing, the start/stop time that the start/stop time that positioning singular signal occurs, i.e. Voltage Drop occur；It is last yet another
Real valued wavelet transform is carried out to original signal in orthogonal intersection space, obtains the real part of coefficient and the relationship of imaginary part after transformation, i.e. coefficient
Phase uniquely reflects the jump phase of Voltage Drop signal.
Above embodiments are merely to illustrate design philosophy and feature of the invention, and its object is to make technology in the art
Personnel can understand the content of the present invention and implement it accordingly, and protection scope of the present invention is not limited to the above embodiments.So it is all according to
It is within the scope of the present invention according to equivalent variations made by disclosed principle, mentality of designing or modification.
Claims (6)
1. a kind of method for detecting voltage drop based on complex wavelet transform Yu Teager energy operator, which is characterized in that including with
Lower step：
Step 1, the original singlephase voltage drop signal in power distribution network is obtained, modulus is carried out to original singlephase voltage drop signal and is turned
It changes, converts analog signals into digital signal；
Step 2, suitable real small echo is chosen, the digital signal of acquisition is decomposed using reality small echo Mallat, obtains Voltage Drop
The approximate signal and detail signal of signal；
Step 3, the detection of Voltage Drop amplitude is carried out using Teager energy operator to the approximate signal of acquisition；To the thin of acquisition
Save the start/stop time that signal is occurred using modulus maximum detection Voltage Drop；
Step 4, the Phase information for constructing the reality small echo carries out complex wavelet transform to Voltage Drop signal, detects Voltage Drop
The jump phase that signal occurs.
2. a kind of Voltage Drop detection side based on complex wavelet transform Yu Teager energy operator according to claim 1
Method, which is characterized in that the analogtodigital conversion that original singlephase voltage drop signal is carried out in the step 1, including to original singlephase
Voltage Drop signal sampled, slidingmodel control.
3. a kind of Voltage Drop detection side based on complex wavelet transform Yu Teager energy operator according to claim 1
Method, which is characterized in that the detecting step of Teager energy operator progress Voltage Drop amplitude includes in the step 3：
Step 3.1, three adjacent singlephase voltage drop signal point x after slidingmodel control are chosen_{n}、x_{n+1}And x_{n1}Track the signal
Energy curve,
Step 3.2, it according to energy curve, constructs Teager energy operator ψ ()：
Wherein,It indicates that energy of the signal at n, Ω are digital angular frequencies, indicates the arc between each sampled point
Degree；φ is the initial phase angle of signal；A indicates the peak value of signal, is virtual valueTimes；
Step 3.3, differential signal is constructed, show that singlephase voltage drop signal falls amplitude.
4. a kind of Voltage Drop detection side based on complex wavelet transform Yu Teager energy operator according to claim 3
Method, which is characterized in that construct differential signal in the step 3.3, show that singlephase voltage drop signal falls the specific side of amplitude
Method is：
If singlephase voltage drop signal point x_{n}=Acos (Ω n+ φ) and its two neighbouring sample point x_{n+1}And x_{n1}It constitutes symmetrical
Differential signal：
s_{n}=[(x_{n+1}x_{n})+(x_{n}x_{n1})]/2=[x_{n+1}x_{n1}]/2=Asin Ω sin (Ω n+ φ)；
Obtain differential signal s_{n}Energy operator be：
ψ(s_{n})=A^{2}sin^{4}Ω；
It obtains：
The amplitude of the frequency and Voltage Drop that obtain Voltage Drop signal is as follows：
5. a kind of Voltage Drop detection side based on complex wavelet transform Yu Teager energy operator according to claim 1
Method, which is characterized in that be to the method for Voltage Drop signal progress complex wavelet transform in the step 4：
Step 4.1, according to real valued wavelet transform theory, the wavelet coefficient of real valued wavelet transform is obtainedScale coefficient
Imaginary part wavelet coefficientWith imaginary part scale coefficient
Wherein, x (t) is Voltage Drop signal；ψ_{h}(2^{j}It tn is) real part of selected small echo；For selected scaling function
Real part；ψ_{g}(2^{j}It tn is) imaginary part of selected small echo；For the imaginary part of selected scaling function；
Step 4.2, the wavelet coefficient of complex wavelet transform is obtainedWith scale coefficient
Step 4.3, the scaling function complex coefficient that Voltage Drop signal x (t) is obtained after complex wavelet transform is WT_{C},
WT_{c}=WT_{Re}+iWT_{Im},
Wherein, WT_{Re}For the real part of scaling function, WT_{Im}For the imaginary part of scaling function.
6. a kind of Voltage Drop detection side based on complex wavelet transform Yu Teager energy operator according to claim 5
Method, which is characterized in that coefficient amplitude and phase of the step 4.3 after complex wavelet transform be respectively：
WT_{PH}=arctan (WT_{Im}/WT_{Re})。
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CN107451557A (en) *  20170729  20171208  吉林化工学院  Transmission line shortcircuit fault diagnostic method based on experience wavelet transformation and local energy 

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CN107451557A (en) *  20170729  20171208  吉林化工学院  Transmission line shortcircuit fault diagnostic method based on experience wavelet transformation and local energy 
NonPatent Citations (3)
Title 

任学平 等: "基于ＤＴ－ＣＷＴ自适应Teager能量谱的轴承早期故障诊断", 《振动、测试与诊断》 * 
张艳 等: "基于复小波变换和有效值算法的电压暂降检测方法", 《电测与仪表》 * 
黄文清 等: "基于Teager 能量算子的电能质量扰动实时检测方法", 《电工技术学报》 * 
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RJ01  Rejection of invention patent application after publication 
Application publication date: 20181116 

RJ01  Rejection of invention patent application after publication 