CN102401858A - Method for detecting fundamental component and harmonic component of voltage of power grid - Google Patents

Method for detecting fundamental component and harmonic component of voltage of power grid Download PDF

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CN102401858A
CN102401858A CN2011102416836A CN201110241683A CN102401858A CN 102401858 A CN102401858 A CN 102401858A CN 2011102416836 A CN2011102416836 A CN 2011102416836A CN 201110241683 A CN201110241683 A CN 201110241683A CN 102401858 A CN102401858 A CN 102401858A
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徐殿国
张学广
刘义成
景卉
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Harbin Institute of Technology
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Abstract

The invention discloses a method for detecting a fundamental component and a harmonic component in voltage of a power grid, which relates to the field of signal processing and solves the problem that the traditional method for detecting the fundamental component and the harmonic component in the voltage has low accuracy. The method comprises the following steps of: designing a wave trap according to an LMS (Least Mean Square) algorithm; separating out the fundamental component and the sub-harmonic components from voltage of power grid by using the wave trap to obtain the fundamental component and the sub-harmonic components in the phase voltage; taking an error signal in the obtained fundamental component in the phase A voltage as a feedrear of a phase locked loop, and using the phase locked loop to obtain an estimation value of a power grid voltage frequency and an estimation value of the phase; and according to the obtained fundamental component and the sub-harmonic components in the phase voltage, using a symmetrical component method to detect positive sequence, negative sequence and zero sequence information of the fundamental component and the sub-harmonic components, taking the information as the detection results, and finishing the detection of the fundamental component and the harmonic component in the voltage of the power grid. The method is suitable for the detection of the fundamental component and the harmonic component in the voltage of the power grid.

Description

The detection method of a kind of line voltage fundametal compoment and harmonic component
Technical field
The present invention relates to the signal Processing field, be specifically related to a kind of detection method of voltage fundamental harmonic component.
Background technology
Amplitude, phase angle and the frequency of line voltage first-harmonic and each harmonic positive sequence, negative phase-sequence, zero-sequence component is the generate electricity by way of merging two or more grid systems necessary information of normal operation such as current transformer, uninterrupted power source, active filter, dynamic electric voltage recovery device, electric system FACTS of regenerative resource.Therefore the separation algorithm of studying line voltage first-harmonic and harmonic component has important practical value.
State of Zhao is bright, Liu Baozhi, Xiao Xiangning etc. are in article " a kind of application of improvement d-q conversion in dynamic electric voltage disturbance identification of not having time delay " (electric power network technique; 2004; 28 (7): the improvement dq converter technique that has proposed no time delay 53-57); Zhang Qingchao, Xiao Yulong are at article " a kind of improved electric voltage temporary drop detecting method " (electrotechnics journal; 2006,21 (2): proposed improved α β change detection method etc. 123-126), these class methods can detect the amplitude and the phase angle of electric voltage dropping more fast.These two kinds of methods are to obtain virtual voltage through differentiate by known voltage, have burr yet the A/D sampling can cause the sinusoidal voltage waveform, cause very mistake for the differentiate result.People such as P.Rodriguez and J.Pou is at document " Decoupled double synchronous reference frame PLL for power converters control " (IEEE Transactions on Power Electronics; 2007; 22 (2): proposed improvement phaselocked loop 584-592) based on two synchronous coordinate systems; Applicable to the first-harmonic positive-negative sequence component and the frequency shift (FS) that detect under the unbalance voltage; But when harmonic content was higher, the output of phaselocked loop can produce bigger concussion, and can not detect harmonic component.M.K.Ghartemani and M.Reza Iravani are at document " Amethod for synchronization of power electronic converters in polluted and variable-frequency environments " (IEEE Transactions on Power Systems; 2004; 19 (3): proposed the enhancement mode phaselocked loop 1263-1270); Its main advantage is exactly the mechanism that has changed phase detector; Have more dirigibility, can detect more information, but transient response is slow excessively.People such as C.-H.Huang and C.-H.Lee is at document " Frequcncy estimation ofdistorted power system signals using a robust algorithm " (IEEE Transactions on Power Delivery; 2008; 23 (1): 41-51) proposed a kind of detection method based on Kalman filtering; Can estimate, but just to single-phase situation positive-negative sequence component that can not estimated voltage simultaneously to amplitude, phase angle, the frequency of voltage.
Summary of the invention
The present invention is in order to solve the low problem of accuracy of detection of existing voltage fundamental harmonic component detection method, thereby the detection method of a kind of line voltage fundametal compoment and harmonic component is provided.
The detection method of a kind of line voltage fundametal compoment and harmonic component, it is realized by following steps:
Step 1, according to LMS algorithm construction trapper, gather the voltage signal of each phase of line voltage, adopt said trapper to separate to gathering each phase voltage signal that obtains, obtain the fundametal compoment and the each harmonic component of every phase voltage;
Step 2, with the feedback of the error signal in the fundametal compoment of the A phase voltage that obtains in the step 1 as phaselocked loop; And adopting phaselocked loop to obtain the estimated value of line voltage frequency and the estimated value of phase place, the estimated value of said line voltage frequency and the estimated value of phase place are used to generate the required reference input vector of LMS algorithm of structure trapper;
The fundametal compoment and the each harmonic component of step 3, every phase voltage of obtaining according to step 1; Adopt symmetrical component method; Detect positive sequence, negative phase-sequence and the zero sequence information of first-harmonic and each harmonic, and, accomplish line voltage first-harmonic harmonic component detection as testing result.
Step 1 is described according to LMS algorithm construction trapper; Gather the voltage signal of each phase of line voltage; Each phase voltage signal that adopts said trapper that collection is obtained separates acquisition fundametal compoment and each harmonic component, obtains the fundametal compoment of every phase voltage and the detailed process of each harmonic component and is:
Every phase line voltage is adopted expression formula:
Figure BDA0000085164410000021
Expression, in the formula, U nBe the amplitude of nth harmonic, ω is a fundamental frequency, and t is the time,
Figure BDA0000085164410000022
Be the initial phase angle of nth harmonic, n is a positive integer, and said first-harmonic phase angle is:
In the formula: the first-harmonic phase angle estimated value that
Figure BDA0000085164410000024
expression is obtained by phaselocked loop; Δ θ representes first-harmonic phase angle evaluated error, so the phase angle of nth harmonic is:
Figure BDA0000085164410000025
The expression formula of the single-phase line voltage of phase angle substitution of nth harmonic, put in order:
u ( t ) = U 1 cos ( Δθ ) sin θ ^ + U 1 sin ( Δθ ) cos θ ^ +
Figure BDA0000085164410000028
Figure BDA0000085164410000029
Figure BDA00000851644100000210
is adjustment factor in the formula, and said adjustment factor is selected the LMS algorithm picks for use;
Line voltage in above-mentioned is expressed as the form of two inner product of vectors, that is:
Y ^ = W T X
In the formula; The line voltage u (t) that
Figure BDA0000085164410000032
estimates based on the trapper of LMS for utilization; W is a weight vector, and its expression formula is:
Figure BDA0000085164410000033
X is with reference to input vector, and expression formula is:
X = [ sin ( θ ^ ) , cos ( θ ^ ) , . . . , sin ( n θ ^ ) , cos ( n θ ^ ) , . . . ] T
Described in the step 2 with the feedback of the error signal in the fundametal compoment of the A phase voltage that obtains in the step 1 as phaselocked loop, and the detailed process of estimated value that adopts phaselocked loop to obtain estimated value and the phase place of line voltage frequency is:
The expression formula of the weight vector W that step 1 is obtained is revised as:
W=[W 11,W 12,…,W n1,W n2,…] T
In the LMS algorithm, utilize error signal e (n) to pass through formula:
W(n+1)=W(n)+ηe(n)X(n)
Regulate weight vector W, wherein, η is the study step-length, and 0<η≤1, and X (n) is with reference to the input signal in the input vector;
Then, according to formula:
W 12=U 1sin(Δθ)
Obtain the evaluated error of line voltage phase angle;
Adopt classical second-order PLL control system, the evaluated error of line voltage phase angle is carried out filtering and integration, obtain the estimated value of line voltage frequency and the estimated value of phase place.
The fundametal compoment of the described every phase voltage that obtains according to step 1 of step 3 adopts the concrete grammar of positive sequence, negative phase-sequence and the zero sequence information of symmetrical component method detection first-harmonic and each harmonic to be with the each harmonic component:
For the three phase network voltage V (t) of single-frequency, its expression formula is:
Figure BDA0000085164410000041
Three-phase sinusoidal signal can resolve into positive sequence, negative phase-sequence and zero-sequence component and, that is:
V(t)=V +(t)+V -(t)+V 0(t)
V wherein +(t), V -(t), V 0(t) represent positive sequence, negative phase-sequence and zero-sequence component respectively, that is:
Figure BDA0000085164410000043
Figure BDA0000085164410000044
The relation table of the three phase network voltage V (t) of positive sequence, negative phase-sequence and zero-sequence component and single-frequency is shown as following matrixing form:
Figure BDA0000085164410000045
P wherein 90 °Representative is carried out 90 degree phase shifts to V (t), and X, Y are expressed as:
X = 1 3 1 - 0.5 - 0.5 - 0.5 1 - 0.5 - 0.5 - 0.5 1
Y = 1 2 3 0 1 - 1 - 1 0 1 1 - 1 0
After linear matrixing, promptly obtain positive sequence, negative phase-sequence and zero-sequence component by the three-phase asymmetrical component.
Beneficial effect: the present invention can exist under the situation such as non-sinusoidal, asymmetric, phase angle sudden change, amplitude sudden change, frequency shift (FS), random noise at line voltage; Accurately detect positive sequence, negative phase-sequence and the zero sequence information of first-harmonic and each harmonic; Has strong robustness, characteristics such as accuracy of detection height.
Description of drawings
Fig. 1 is based on the trapper schematic diagram of LMS; Fig. 2 is improved single-phase phase-locked loop principle schematic; Fig. 3 is a symmetrical components computing unit principle schematic; Figure is the The general frame of 4 line voltage first-harmonics and harmonic component separation algorithm; Fig. 5 is an electrical network three-phase fault voltage oscillogram; Fig. 6 is a line voltage fundamental positive sequence oscillogram; Fig. 7 is a line voltage first-harmonic negative sequence component oscillogram; Fig. 8 is line voltage fundamental wave zero sequence component waveform figure; Fig. 9 is line voltage 5 subharmonic positive-sequence component oscillograms; Figure 10 is line voltage 5 subharmonic negative sequence component oscillograms; Figure 11 is line voltage 5 subharmonic zero-sequence component oscillograms; Figure 12 is a line voltage the seventh harmonic positive-sequence component oscillogram; Figure 13 is a line voltage the seventh harmonic negative sequence component oscillogram; Figure 14 is a line voltage the seventh harmonic zero-sequence component oscillogram; Figure 15 is a line voltage Frequency Estimation oscillogram.
Embodiment
The detection method of embodiment one, a kind of line voltage fundametal compoment and harmonic component, it is realized by following steps:
Step 1, according to LMS algorithm construction trapper, gather the voltage signal of each phase of line voltage, adopt said trapper to separate to gathering each phase voltage signal that obtains, obtain the fundametal compoment and the each harmonic component of every phase voltage;
Step 2, with the feedback of the error signal in the fundametal compoment of the A phase voltage that obtains in the step 1 as phaselocked loop; And adopting phaselocked loop to obtain the estimated value of line voltage frequency and the estimated value of phase place, the estimated value of said line voltage frequency and the estimated value of phase place are used to generate the required reference input vector of LMS algorithm of structure trapper;
The fundametal compoment and the each harmonic component of step 3, every phase voltage of obtaining according to step 1; Adopt symmetrical component method; Detect positive sequence, negative phase-sequence and the zero sequence information of first-harmonic and each harmonic, and, accomplish line voltage first-harmonic harmonic component detection as testing result.
Detailed process is:
For single-phase line voltage, its expression formula is:
In the formula, U nBe the amplitude of nth harmonic, ω is a fundamental frequency, and t is the time,
Figure BDA0000085164410000062
Be the initial phase angle of nth harmonic, said first-harmonic phase angle is:
Figure BDA0000085164410000063
In the formula: the first-harmonic phase angle estimated value that
Figure BDA0000085164410000064
expression is obtained by phaselocked loop; Δ θ representes first-harmonic phase angle evaluated error, so the phase angle of nth harmonic is:
Figure BDA0000085164410000065
The expression formula of the single-phase line voltage of phase angle substitution of nth harmonic, put in order:
u ( t ) = U 1 cos ( Δθ ) sin θ ^ + U 1 sin ( Δθ ) cos θ ^ +
Figure BDA0000085164410000067
Figure BDA0000085164410000069
Figure BDA00000851644100000610
is adjustment factor in the formula, and said adjustment factor is selected the LMS algorithm picks for use;
Even from following formula, can find out under the initial phase angle condition of unknown of voltage signal, also can reappear original signal through adjustment factor
Figure BDA00000851644100000611
.The algorithm of adjustment factor is a lot, and this patent adopts the better lowest mean square of practicality (LMS) algorithm.Be illustrated in figure 1 as the trapper schematic diagram based on LMS, the phase information of single-phase line voltage is imported as a reference, single-phase line voltage u (t) is as original input, and the error of system's output is used as the signal of regulating neuron weights W.This detection algorithm belongs to closed loop correction detection algorithm, and accuracy is than higher, and real-time is good.
Line voltage in above-mentioned is expressed as the form of two inner product of vectors, that is:
Y ^ = W T X - - - ( 5 )
In the formula; The line voltage u (t) that estimates based on the trapper of LMS for utilization, W are that weight vector is with reference to input vector with X:
X = [ sin ( θ ^ ) , cos ( θ ^ ) , . . . , sin ( n θ ^ ) , cos ( n θ ^ ) , . . . ] T - - - ( 7 )
Again represent weight vector W, that is:
W=[W 11,W 12,…,W n1,W n2,…] T (8)
In the LMS algorithm, utilize error signal e (n) to pass through formula:
W(n+1)=W(n)+ηe(n)X(n) (9)
Regulate weight vector W, wherein, η is the study step-length, and 0<η≤1, and X (n) is the network reference input signal;
Then, according to formula:
W 12=U 1sin(Δθ) (9)
Obtain the evaluated error of line voltage phase angle;
Adopt classical second-order PLL control system, the evaluated error of line voltage phase angle is carried out filtering and integration, obtain the estimated value of line voltage frequency and the estimated value of phase place;
With the error signal of A phase fundametal compoment feedback, estimate line voltage frequency and phase place by phaselocked loop as phaselocked loop.Concrete method is: the evaluated error W that can be obtained the line voltage phase angle by algorithm that step 1 is carried 12, can know the weights W of fundametal compoment by above derivation 12=U 1Sin (Δ θ).It is thus clear that in weights, comprised the information of line voltage phase angle evaluated error, so can the phase angle evaluated error be adjusted to zero through the suitable closed-loop control system of design.This patent adopts classical second-order PLL control system.Through the filtering of PI loop filter, what obtain is frequency signal, passes through the integral element as voltage controlled oscillator again the phase angle evaluated error, and output is estimated phase angle at last.
Fundametal compoment and the each harmonic component of the every phase voltage that obtains according to step 1 adopt symmetrical component method to detect positive sequence, negative phase-sequence and the zero sequence information of first-harmonic and each harmonic, the detection of realization line voltage first-harmonic harmonic component.
Fundametal compoment and the each harmonic component of the every phase voltage that obtains according to step 1, adopt the concrete grammar of positive sequence, negative phase-sequence and the zero sequence information of symmetrical component method detection first-harmonic and each harmonic to be:
Utilize symmetrical component method, can obtain positive sequence, negative phase-sequence and the zero sequence information of first-harmonic and harmonic wave.Concrete method is: the above detection method of narrating for single-phase signal amplitude, phase place, frequency.If when the generation electric network fault makes three-phase asymmetric, have the appearance of negative phase-sequence, zero-sequence component in the fundametal compoment, be very important so how further separate positive sequence, negative phase-sequence, zero-sequence component this moment exactly.This patent proposed based on the line voltage first-harmonic of LMS and the separation algorithm of harmonic component; Can be applied to simultaneously in the three-phase system; Detect the first-harmonic and the each harmonic component of three-phase voltage respectively, utilize symmetrical component method can further obtain first-harmonic and each harmonic positive sequence, negative phase-sequence, the zero sequence information of each phase then.Be described in detail the ultimate principle of symmetrical component method below.For the three phase network voltage V (t) of single-frequency, its expression formula is:
Figure BDA0000085164410000081
Three-phase sinusoidal signal can resolve into positive sequence, negative phase-sequence and zero-sequence component and, that is:
V(t)=V +(t)+V -(t)+V 0(t) (11)
V wherein +(t), V -(t), V 0(t) represent positive sequence, negative phase-sequence and zero-sequence component respectively, that is:
Figure BDA0000085164410000082
Figure BDA0000085164410000083
Figure BDA0000085164410000084
The relation table of the three phase network voltage V (t) of positive sequence, negative phase-sequence and zero-sequence component and single-frequency is shown as following matrixing form:
Figure BDA0000085164410000091
P wherein 90 °Representative is carried out 90 degree phase shifts to V (t).And X, Y are expressed as:
X = 1 3 1 - 0.5 - 0.5 - 0.5 1 - 0.5 - 0.5 - 0.5 1 - - - ( 16 )
Y = 1 2 3 0 1 - 1 - 1 0 1 1 - 1 0 - - - ( 17 )
After linear matrixing, promptly obtain positive sequence, negative phase-sequence and zero-sequence component by the three-phase asymmetrical component.
Shown in Figure 1 is the trapper schematic diagram based on LMS, and the phase information of line voltage is imported as a reference, and single-phase line voltage is as original input.Make inner product with reference to input vector and weight vector, obtain the estimated value of original input, both subtract each other can adjusted weights error signal e.The present invention adopts the LMS algorithm to realize the renewal of weights, and formula is suc as formula shown in (9).Regulate weights according to above iterative formula, then the output of trapper approaches with reference to input with least mean-square error.Thereby realized detection to first-harmonic in the line voltage and each harmonic.
Fig. 2 is improved single-phase phase-locked loop schematic diagram.The basic structure of LMS-a is as shown in Figure 1 among the figure, and its input signal is the output acquisition of the phase information
Figure BDA0000085164410000094
of A phase line voltage by phaselocked loop.The output signal is the weights W in the LMS algorithm 12, can know W by above derivation 12=V 1Sin (Δ θ).It is thus clear that in weights, comprised the information of line voltage phase angle evaluated error, so can the phase angle evaluated error be adjusted to zero through the suitable closed-loop control system of design.This patent adopts classical second-order PLL control system.At first, obtain the estimated value of frequency with the filtering of phase angle evaluated error process PI loop filter.Obtain the estimated value of phase angle then through voltage controlled oscillator.
Fig. 3 is a symmetrical components computing unit schematic diagram, utilizes symmetrical component method, can obtain positive sequence, negative phase-sequence and the zero sequence information of first-harmonic and harmonic wave, is described in detail the ultimate principle of symmetrical component method below.If the three phase network voltage V (t) of single-frequency can be expressed as the form of formula (10), three-phase sinusoidal signal can resolve into positive sequence, negative phase-sequence, zero-sequence component and, shown in formula (11), V wherein +(t), V -(t), V 0(t) represent positive sequence, negative phase-sequence, zero-sequence component respectively.And can be expressed as the matrixing form suc as formula (15), wherein P with the relation of V (t) 90 °Representative is carried out 90 degree phase shifts to V (t).Through above simple matrix linear transformation, can derive positive sequence, negative phase-sequence, zero-sequence component by the three-phase asymmetrical component.
Fig. 4 is the The general frame of line voltage first-harmonic and harmonic component separation algorithm.LMS-a wherein, LMS-b, LMS-c structure are as shown in Figure 1, and reference-input signal is obtained by the output of phaselocked loop, and original input is respectively A phase, B phase, C phase voltage.Can know W by above derivation 12=V 1Sin (Δ θ).It is thus clear that in weights, comprised the information of line voltage phase angle evaluated error, so can the phase angle evaluated error be adjusted to zero through the suitable closed-loop control system of design.This patent adopts classical second-order PLL control system.At first, obtain the estimated value of frequency, obtain the estimated value of phase angle then through voltage controlled oscillator the filtering of phase angle evaluated error process PI loop filter.Trapper by based on LMS can obtain first-harmonic and harmonic component, is entered into then in the symmetrical components computing unit.Can obtain positive sequence, negative phase-sequence, the zero-sequence component of first-harmonic and harmonic wave through the linear matrix conversion.In three-phase phase-locked loop, any phase voltage generation phase angle or amplitude sudden change all can cause very large deviation to Frequency Estimation.Because phaselocked loop has only been used the information of A phase voltage,, strengthened the robustness of algorithm so when other two phases line voltage generation amplitudes, phase angle sudden change, can not exert an influence to Frequency Estimation.
Fig. 5 to Figure 15 occurs under the uneven situation for line voltage, the simulated effect figure of the inventive method.As shown in Figure 5, fault three-phase voltage only contains the unit positive-sequence component, does not contain harmonic components.And when fault took place, uneven situation appearred in line voltage, and contained higher hamonic wave, and variation has also taken place frequency thereupon.Fig. 6 to Fig. 8 is detected line voltage fundamental positive sequence, negative phase-sequence, zero-sequence component, thus it is clear that can detect each component at about two electrical networks about the cycle, and do not have overshoot, excessively relatively steadily.Fig. 9 to 11, Figure 12 to 14 are detected line voltage higher hamonic wave positive sequence, negative phase-sequence, zero-sequence component, though starting stage overshoot is bigger, approximately just tend to be steady through 0.02 second.Figure 15 is the Frequency Estimation waveform of line voltage.

Claims (4)

1. the detection method of line voltage fundametal compoment and harmonic component, it is characterized in that: it is realized by following steps:
Step 1, according to LMS algorithm construction trapper, gather the voltage signal of each phase of line voltage, adopt said trapper to separate to gathering each phase voltage signal that obtains, obtain the fundametal compoment and the each harmonic component of every phase voltage;
Step 2, with the feedback of the error signal in the fundametal compoment of the A phase voltage that obtains in the step 1 as phaselocked loop; And adopting phaselocked loop to obtain the estimated value of line voltage frequency and the estimated value of phase place, the estimated value of said line voltage frequency and the estimated value of phase place are used to generate the required reference input vector of LMS algorithm of structure trapper;
The fundametal compoment and the each harmonic component of step 3, every phase voltage of obtaining according to step 1; Adopt symmetrical component method; Detect positive sequence, negative phase-sequence and the zero sequence information of first-harmonic and each harmonic, and, accomplish line voltage first-harmonic harmonic component detection as testing result.
2. the detection method of a kind of line voltage fundametal compoment according to claim 1 and harmonic component; It is characterized in that step 1 is described according to LMS algorithm construction trapper; Gather the voltage signal of each phase of line voltage; Each phase voltage signal that adopts said trapper that collection is obtained separates acquisition fundametal compoment and each harmonic component, obtains the fundametal compoment of every phase voltage and the detailed process of each harmonic component and is:
Every phase line voltage is adopted expression formula:
Expression, in the formula, U nBe the amplitude of nth harmonic, ω is a fundamental frequency, and t is the time,
Figure FDA0000085164400000012
Be the initial phase angle of nth harmonic, n is a positive integer, and said first-harmonic phase angle is:
In the formula: the first-harmonic phase angle estimated value that expression is obtained by phaselocked loop; Δ θ representes first-harmonic phase angle evaluated error, so the phase angle of nth harmonic is:
Figure FDA0000085164400000015
The expression formula of the single-phase line voltage of phase angle substitution of nth harmonic, put in order:
u ( t ) = U 1 cos ( Δθ ) sin θ ^ + U 1 sin ( Δθ ) cos θ ^ +
Figure FDA0000085164400000023
Figure FDA0000085164400000024
Figure FDA0000085164400000025
is adjustment factor in the formula, and said adjustment factor is selected the LMS algorithm picks for use;
Line voltage in above-mentioned is expressed as the form of two inner product of vectors, that is:
Y ^ = W T X
In the formula; The line voltage u (t) that
Figure FDA0000085164400000027
estimates based on the trapper of LMS for utilization; W is a weight vector, and its expression formula is:
Figure FDA0000085164400000028
X is with reference to input vector, and expression formula is:
X = [ sin ( θ ^ ) , cos ( θ ^ ) , . . . , sin ( n θ ^ ) , cos ( n θ ^ ) , . . . ] T
3. the detection method of a kind of line voltage fundametal compoment according to claim 2 and harmonic component; It is characterized in that described in the step 2 with the feedback of the error signal in the fundametal compoment of the A phase voltage that obtains in the step 1 as phaselocked loop, and the detailed process of estimated value that adopts phaselocked loop to obtain estimated value and the phase place of line voltage frequency is:
The expression formula of the weight vector W that step 1 is obtained is revised as:
W=[W 11,W 12,…,W n1,W n2,…] T
In the LMS algorithm, utilize error signal e (n) to pass through formula:
W(n+1)=W(n)+ηe(n)X(n)
Regulate weight vector W, wherein, η is the study step-length, and 0<η≤1, and X (n) is with reference to the input signal in the input vector;
Then, according to formula:
W 12=U 1sin(Δθ)
Obtain the evaluated error of line voltage phase angle;
Adopt classical second-order PLL control system, the evaluated error of line voltage phase angle is carried out filtering and integration, obtain the estimated value of line voltage frequency and the estimated value of phase place.
4. the detection method of a kind of line voltage fundametal compoment according to claim 3 and harmonic component is characterized in that the fundametal compoment of the described every phase voltage that obtains according to step 1 of step 3 adopts the concrete grammar of positive sequence, negative phase-sequence and the zero sequence information of symmetrical component method detection first-harmonic and each harmonic to be with the each harmonic component:
For the three phase network voltage V (t) of single-frequency, its expression formula is:
Three-phase sinusoidal signal can resolve into positive sequence, negative phase-sequence and zero-sequence component and, that is:
V(t)=V +(t)+V -(t)+V 0(t)
V wherein +(t), V -(t), V 0(t) represent positive sequence, negative phase-sequence and zero-sequence component respectively, that is:
Figure FDA0000085164400000032
Figure FDA0000085164400000033
Figure FDA0000085164400000034
The relation table of the three phase network voltage V (t) of positive sequence, negative phase-sequence and zero-sequence component and single-frequency is shown as following matrixing form:
Figure FDA0000085164400000041
P wherein 90 °Representative is carried out 90 degree phase shifts to V (t), and X, Y are expressed as:
X = 1 3 1 - 0.5 - 0.5 - 0.5 1 - 0.5 - 0.5 - 0.5 1
Y = 1 2 3 0 1 - 1 - 1 0 1 1 - 1 0
After linear matrixing, promptly obtain positive sequence, negative phase-sequence and zero-sequence component by the three-phase asymmetrical component.
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Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2006276006A (en) * 2005-03-01 2006-10-12 Nagoya Institute Of Technology Harmonic analysis method in power system
CN101577427A (en) * 2009-05-31 2009-11-11 国网电力科学研究院武汉南瑞有限责任公司 Detection control method of self-adapting tuning passive power filter
CN101634669A (en) * 2009-08-12 2010-01-27 江苏大学 Apparatus and method for detecting harmonic current
CN101893651A (en) * 2010-06-18 2010-11-24 上海理工大学 Method for detecting positive sequence, negative sequence, idle and harmonic currents of power supply system

Patent Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2006276006A (en) * 2005-03-01 2006-10-12 Nagoya Institute Of Technology Harmonic analysis method in power system
CN101577427A (en) * 2009-05-31 2009-11-11 国网电力科学研究院武汉南瑞有限责任公司 Detection control method of self-adapting tuning passive power filter
CN101634669A (en) * 2009-08-12 2010-01-27 江苏大学 Apparatus and method for detecting harmonic current
CN101893651A (en) * 2010-06-18 2010-11-24 上海理工大学 Method for detecting positive sequence, negative sequence, idle and harmonic currents of power supply system

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Publication number Priority date Publication date Assignee Title
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CN105137179A (en) * 2015-08-24 2015-12-09 国网甘肃省电力公司 Appointed subharmonic detection method based on cascade delay signal elimination method
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CN107423261A (en) * 2017-07-26 2017-12-01 泰州学院 The separation method of positive and negative order components based on OVPR under the conditions of non-ideal micro-capacitance sensor
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