CN103487682A - Early warning method for sensitive customer electric energy experience quality under voltage sag disturbance - Google Patents

Early warning method for sensitive customer electric energy experience quality under voltage sag disturbance Download PDF

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CN103487682A
CN103487682A CN201310419436.XA CN201310419436A CN103487682A CN 103487682 A CN103487682 A CN 103487682A CN 201310419436 A CN201310419436 A CN 201310419436A CN 103487682 A CN103487682 A CN 103487682A
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msub
sensitive
voltage sag
disturbance
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张华赢
曹军威
高田
王淼
史帅彬
姚森敬
段绍辉
余鹏
卢旭
黄志伟
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Shenzhen Power Supply Co ltd
Tsinghua University
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Shenzhen Power Supply Co ltd
Tsinghua University
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Abstract

The invention provides a method for early warning of sensitive customer power experience quality under voltage sag disturbance, which comprises the following steps: automatically identifying voltage sag disturbance of sensitive customers based on an S transformation fast algorithm and an incremental SVM classifier; determining voltage tolerance curves of equipment corresponding to several types of sensitive customers under different load levels based on the voltage sag disturbance identification result; and converting historical monitoring data of voltage sag disturbance into sample values of an amplitude severity index MSI and a duration severity index DSI of the voltage sag according to the sample values serving as samples, determining probability density functions of the MSI and the DSI based on a maximum entropy principle, evaluating the fault probability of the sensitive equipment, and obtaining the fault probability of the sensitive equipment corresponding to the sensitive customer under the voltage sag level. By implementing the method and the system, the power quality disturbance condition can be accurately monitored, whether the disturbance possibly affects the load of the client or not is determined according to the load sensitivity of the client, and the potential danger of load operation is discovered.

Description

Early warning method for sensitive customer electric energy experience quality under voltage sag disturbance
Technical Field
The invention relates to the technical field of electric power, in particular to a method for early warning of sensitive customer electric energy experience quality under voltage sag disturbance.
Background
In recent years, with the development of modern industry and economy, sensitive loads such as computers and power electronic devices are widely applied in various industries, so that power customers are very sensitive to voltage sag, voltage surge, short-time interruption (interruption) and the like, and the failure of a single device or element may cause great economic loss. On the other hand, some arc furnaces, rectifiers, single-phase loads, high-power motors and other fluctuating or impulsive loads are incorporated into the grid, in particular the injection of a large number of harmonic and sub-harmonic components, resulting in severe distortion of the voltage and current waveforms in the grid. In addition, external factors such as lightning, external force damage, branch influence, power grid equipment failure and the like also interfere with the normal operation of the power system, so that the problem of power quality sometimes occurs. At present, more and more loads sensitive to voltage sag are applied to an electric power system, the voltage sag becomes a main reason causing that voltage sensitive equipment cannot work normally, and research shows that customer loss caused by the voltage sag accounts for more than 80% of power quality loss in various power quality problems.
In practical application, the electric load is generally divided into a common load and a sensitive load according to different characteristics of the electric load and requirements and sensitivities on the quality of electric energy. Some power system customers use a large number of sensitive loads, which are referred to as power quality sensitive customers. The objective existence of power quality problems and the sensitive nature of sensitive loads present a significant risk to the power usage of sensitive customers. Even slight power quality problems for such customers can result in significant economic losses.
The form of a Power Quality Disturbance (PQD) signal is complicated, and how to correctly extract the characteristic quantity of a disturbance signal and how to accurately identify the type of the disturbance signal become the primary problems in solving and improving the power quality. In addition, the quality of the experience of the electric energy of the customer is not only dependent on the quality of the power supply, but also closely related to the sensitivity of the customer.
Disclosure of Invention
The method is based on an S transformation fast algorithm and an incremental SVM classifier to realize automatic identification of the voltage sag disturbance, and a maximum entropy method is used for estimating the fault rate of the user sensitive load under the voltage sag disturbance.
Specifically, the early warning method for the experience quality of the sensitive customer electric energy under the voltage sag disturbance provided by the invention comprises the following steps:
automatically identifying voltage sag disturbance of sensitive customers based on an S transformation fast algorithm and an incremental SVM classifier;
determining voltage tolerance curves of equipment corresponding to several types of sensitive customers under different load levels based on the voltage sag disturbance identification result;
and converting historical monitoring data of voltage sag disturbance into sample values of an amplitude severity index MSI and a duration severity index DSI of the voltage sag according to the sample values serving as samples, determining probability density functions of the MSI and the DSI based on a maximum entropy principle, evaluating the fault probability of the sensitive equipment, and obtaining the fault probability of the sensitive equipment corresponding to the sensitive customer under the voltage sag level.
The method for automatically identifying the voltage sag disturbance of the sensitive client based on the S transformation fast algorithm and the incremental SVM classifier comprises the following steps:
determining a sensitive client as a monitoring point, monitoring the power quality disturbance of the sensitive client in real time, and acquiring a voltage signal and a current signal of sensitive equipment as the monitoring point;
for the voltage signal and the current signal of the monitoring point, extracting the characteristics based on an S transformation rapid algorithm, and extracting the standard deviation of the modulus coefficient of each frequency section, the maximum modulus coefficient and the modulus coefficient corresponding to the rated frequency as the characteristic vector of the disturbance signal;
and inputting the characteristic vectors into an incremental SVM classifier to classify the power quality disturbance, and automatically identifying the voltage sag disturbance.
Wherein, the S-transform fast algorithm is as follows:
Figure BDA0000381860060000021
where ω (τ -t, σ) is a generalized window function for all frequencies v within a unit region.
Inputting the feature vectors into an incremental SVM classifier to classify power quality disturbance, and automatically identifying voltage sag disturbance, wherein the method comprises the following steps:
dividing the characteristic vectors into time windows, and using an incremental learning mechanism to learn the characteristic vectors arriving in one time window in batches;
within the last n time windows, if the number of times a feature vector sample does not become a support vector exceeds ξ, it is removed from the training set.
The sensitive equipment comprises a programmable logic control PLC, an adjustable speed driving device ASD, a computer PC and an AC contactor ACC.
Wherein the maximum entropy model is:
<math> <mfenced open='' close=''> <mtable> <mtr> <mtd> <mi>max</mi> <mi>H</mi> <mrow> <mo>(</mo> <mi>x</mi> <mo>)</mo> </mrow> <mo>=</mo> <mo>-</mo> <munder> <mo>&Integral;</mo> <mi>R</mi> </munder> <mi>f</mi> <mrow> <mo>(</mo> <mi>x</mi> <mo>)</mo> </mrow> <mi>ln</mi> <mi>f</mi> <mrow> <mo>(</mo> <mi>x</mi> <mo>)</mo> </mrow> <mi>dx</mi> </mtd> </mtr> <mtr> <mtd> <mi>s</mi> <mo>.</mo> <mi>t</mi> <mo>.</mo> </mtd> </mtr> <mtr> <mtd> <munder> <mo>&Integral;</mo> <mi>R</mi> </munder> <mi>f</mi> <mrow> <mo>(</mo> <mi>x</mi> <mo>)</mo> </mrow> <mi>dx</mi> <mo>=</mo> <mn>1</mn> </mtd> </mtr> <mtr> <mtd> <munder> <mo>&Integral;</mo> <mi>R</mi> </munder> <mi>xf</mi> <mrow> <mo>(</mo> <mi>x</mi> <mo>)</mo> </mrow> <mi>dx</mi> <mo>=</mo> <msub> <mi>E</mi> <mn>1</mn> </msub> </mtd> </mtr> <mtr> <mtd> <munder> <mo>&Integral;</mo> <mi>R</mi> </munder> <msup> <mrow> <mo>(</mo> <mi>x</mi> <mo>-</mo> <msub> <mi>E</mi> <mn>1</mn> </msub> <mo>)</mo> </mrow> <mi>h</mi> </msup> <mi>f</mi> <mrow> <mo>(</mo> <mi>x</mi> <mo>)</mo> </mrow> <mi>dx</mi> <mo>=</mo> <msub> <mi>E</mi> <mi>h</mi> </msub> <mo>,</mo> <mi>h</mi> <mo>=</mo> <mn>2,3</mn> <mo>,</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>,</mo> <mi>N</mi> </mtd> </mtr> </mtable> </mfenced> </math>
wherein x is a random variable of the voltage sag severity index MSI or DSI of the sensitive equipment, R is a value boundary of a variable x, H (x) is the entropy of the random variable, f (x) is a probability density function of the random variable x, E is the probability density function of the random variable x1And EhThe point distance of 1 st order and the center distance of h order of the severity index of voltage sag.
The method for determining the probability density functions of MSI and DSI based on the maximum entropy principle and evaluating the fault probability of the sensitive equipment to obtain the fault probability of the sensitive equipment corresponding to the sensitive customer under the voltage sag level includes the following steps:
introducing a Lagrange operator into the maximum entropy model, and obtaining a probability density function analytic expression by using a classical partial differential method;
when a voltage sag occurs in an uncertainty region (i, j), the failure rate P (i, j) of the device is:
<math> <mrow> <mi>P</mi> <mrow> <mo>(</mo> <mi>i</mi> <mo>,</mo> <mi>j</mi> <mo>)</mo> </mrow> <mo>=</mo> <munderover> <mo>&Integral;</mo> <msub> <mi>x</mi> <mi>MSI</mi> </msub> <msub> <mi>&gamma;</mi> <mover> <mi>i</mi> <mo>&OverBar;</mo> </mover> </msub> </munderover> <mi>f</mi> <mrow> <mo>(</mo> <msub> <mi>x</mi> <mi>MSI</mi> </msub> <mo>)</mo> </mrow> <msub> <mi>dx</mi> <mi>MSI</mi> </msub> <munderover> <mo>&Integral;</mo> <msub> <mi>x</mi> <mi>DSI</mi> </msub> <msub> <mi>&gamma;</mi> <mover> <mi>j</mi> <mo>&OverBar;</mo> </mover> </msub> </munderover> <mi>f</mi> <mrow> <mo>(</mo> <msub> <mi>x</mi> <mi>DSI</mi> </msub> <mo>)</mo> </mrow> <msub> <mi>dx</mi> <mi>DSI</mi> </msub> </mrow> </math>
wherein, <math> <mrow> <mi>f</mi> <mrow> <mo>(</mo> <mi>x</mi> <mo>)</mo> </mrow> <mo>=</mo> <mi>exp</mi> <mrow> <mo>(</mo> <msub> <mi>&lambda;</mi> <mn>0</mn> </msub> <mo>+</mo> <msub> <mi>&lambda;</mi> <mn>1</mn> </msub> <mi>x</mi> <mo>+</mo> <munderover> <mi>&Sigma;</mi> <mrow> <mi>h</mi> <mo>=</mo> <mn>2</mn> </mrow> <mi>N</mi> </munderover> <msub> <mi>&lambda;</mi> <mi>h</mi> </msub> <msup> <mrow> <mo>(</mo> <mi>x</mi> <mo>-</mo> <msub> <mi>E</mi> <mn>1</mn> </msub> <mo>)</mo> </mrow> <mi>h</mi> </msup> <mo>)</mo> </mrow> <mo>,</mo> <mi>h</mi> <mo>=</mo> <mn>2,3,4,5</mn> <mo>.</mo> </mrow> </math>
Figure BDA0000381860060000043
and
Figure BDA0000381860060000042
the residual voltage amplitude is at the middle of region i and the duration is at the middle of region j, respectively.
By implementing the method and the system, the power quality disturbance condition can be accurately monitored, whether the disturbance possibly affects the load of the client or not is determined according to the load sensitivity of the client, and the potential danger of load operation is discovered. On the basis, the concept of customer electric energy experience is put forward, and the early warning is carried out on the customers with potential danger in load operation. The method is beneficial to reducing the power supply and utilization risks and technical transformation of power enterprises and sensitive customers, and has important significance for customizing the power in a differentiated mode.
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In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the description of the embodiments or the prior art will be briefly described below, it is obvious that the drawings in the following description are only some embodiments of the present invention, and for those skilled in the art, other drawings can be obtained according to the drawings without creative efforts.
Fig. 1 is a schematic flowchart of a first embodiment of an early warning method for quality of experience of sensitive customer power under voltage sag disturbance according to the present invention;
fig. 2 is a schematic flowchart of a second embodiment of the early warning method for the experience quality of the power of the sensitive customer under the disturbance of the voltage sag according to the present invention;
fig. 3 is a schematic flowchart of a third embodiment of an early warning method for sensitive customer power experience quality under voltage sag disturbance according to the present invention;
fig. 4 is a schematic flowchart of a fourth embodiment of the early warning method for the experience quality of the power of the sensitive customer under the disturbance of the voltage sag according to the present invention;
fig. 5 is a schematic flowchart of a fifth embodiment of an early warning method for quality of experience of sensitive customer power under voltage sag disturbance according to the present invention;
fig. 6 is a schematic flowchart of a sixth embodiment of an early warning method for sensitive customer power experience quality under voltage sag disturbance according to the present invention;
fig. 7 is a flowchart illustrating a seventh embodiment of an early warning method for quality of experience of power of a sensitive client under voltage sag disturbance according to the present invention.
Detailed Description
The following detailed description of specific embodiments of the invention refers to the accompanying drawings.
As shown in fig. 1, a schematic flow chart of a first embodiment of the early warning method for sensitive customer power experience quality under voltage sag disturbance according to the present invention mainly includes the following steps:
step 100, automatically identifying voltage sag disturbance of a sensitive client based on an S transformation fast algorithm and an incremental SVM classifier;
step 101, determining voltage tolerance curves of devices corresponding to several types of sensitive customers under different load levels based on the voltage sag disturbance identification result;
step 102, converting historical monitoring data of voltage sag disturbance into sample values of an amplitude severity index MSI and a duration severity index DSI of the voltage sag according to the historical monitoring data as samples, determining probability density functions of the MSI and the DSI based on a maximum entropy principle, evaluating the fault probability of the sensitive equipment, and obtaining the fault probability of the sensitive equipment corresponding to the sensitive customer under the voltage sag level.
As shown in fig. 2, a schematic flow chart of an embodiment of a second early warning method for sensitive customer power experience quality under voltage sag disturbance according to the present invention is shown, where the embodiment mainly describes a specific implementation process of time sequence feature extraction based on an S-transform fast algorithm, and the implementation process includes:
and 200, introducing an S transformation fast algorithm into the feature extraction of the power quality disturbance signal. The S transformation fast algorithm is shown as formula (1).
<math> <mrow> <mi>S</mi> <mrow> <mo>(</mo> <mi>&tau;</mi> <mo>,</mo> <mi>v</mi> <mo>)</mo> </mrow> <mo>=</mo> <munderover> <mo>&Integral;</mo> <mrow> <mo>-</mo> <mo>&infin;</mo> </mrow> <mrow> <mo>+</mo> <mo>&infin;</mo> </mrow> </munderover> <mi>g</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>&CenterDot;</mo> <mi>&omega;</mi> <mrow> <mo>(</mo> <mi>&tau;</mi> <mo>-</mo> <mi>t</mi> <mo>,</mo> <mi>&sigma;</mi> <mo>)</mo> </mrow> <mo>&CenterDot;</mo> <msup> <mi>e</mi> <mrow> <mo>(</mo> <mo>-</mo> <mi>j</mi> <mn>2</mn> <mi>&pi;vt</mi> <mo>)</mo> </mrow> </msup> <mi>dt</mi> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow> </math>
In the formula (1), ω (τ -t, σ) is a generalized window function for all frequencies v in the unit region.
The method can effectively avoid a large amount of redundant information in the S-transform time-frequency matrix, lay a foundation for accurately extracting the characteristic components of the signals and save the calculation time.
Step 201, processing historical monitoring data of power quality, specifically as follows:
the time sequence lasts for 8 rated periods of 0.16s in total, the number of sampling points is 1024, the sampling frequency is 6.4kHz, and the maximum detectable frequency is 3.2 kHz. The two-dimensional time-frequency relationship corresponding to the one-dimensional mode coefficient obtained by the S transformation fast algorithm can obtain 1024 time sequence points according to the formula (2) and can form 11 frequency segments. The position of a certain value in the one-dimensional S-domain determines the frequency and time represented by the value and the relation between the previous frequency band and the next frequency band at the same time, and the specific frequency band is divided as shown in formula (2).
Figure BDA0000381860060000061
Wherein, for a time domain signal sequence with the length of N, NindexOne recording point in one-dimensional mode coefficient is transformed for S and satisfies 2<nindex<n-1,nLNumber of layers of the current frequency band, n1And n2The start and end positions of the one-dimensional mode coefficients for the current frequency bin. The start and end positions of the one-dimensional mode coefficient corresponding to each frequency in each frequency segment are the same.
Step 202, establishing a feature vector including a time sequence point, and extracting a standard deviation of a mode coefficient of each frequency segment, a maximum mode coefficient and a mode coefficient corresponding to a rated frequency as a feature component of the disturbance signal.
Specifically, the time window of each time sequence is usually set to 8 nominal periods, the S transform modulus matrix retains the amplitude information of the signal, and the amplitudes of the elements in the S transform matrix correspond to the modulus of the S transform at a certain time and frequency. The column vector is the distribution of the amplitude of a signal at a certain sampling moment along with the change of frequency, and the row vector is the distribution of the amplitude of a signal at a certain frequency along with the change of time.
Step 203, marking the power quality disturbance category to which the signature belongs according to the eigenvector, and marking the power quality disturbance category as T = { (n)1(ti),y1),...,(nn(ti),ym)}. The time sequence feature vector is used as a training set for incremental learning in the SVM algorithm.
As shown in fig. 3, a schematic flow chart of a third embodiment of the early warning method for sensitive customer power experience quality under voltage sag disturbance according to the present invention is shown, where this embodiment mainly describes a specific implementation process of voltage sag automatic identification based on an incremental SVM algorithm, and includes:
and 300, setting a elimination strategy of training samples in the incremental SVM algorithm, and eliminating the samples with low contribution to classification through a threshold value xi. The basic idea is that within the last n time windows, if the number of times a sample does not become a support vector exceeds ξ, it is removed from the training samples in a centralized manner.
Wherein the SVM algorithm is actually performed by a Largrange function <math> <mrow> <mi>L</mi> <mrow> <mo>(</mo> <mi>w</mi> <mo>,</mo> <mi>b</mi> <mo>,</mo> <mi>a</mi> <mo>)</mo> </mrow> <mo>=</mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <msup> <mrow> <mo>|</mo> <mo>|</mo> <mi>w</mi> <mo>|</mo> <mo>|</mo> </mrow> <mn>2</mn> </msup> <mo>-</mo> <munderover> <mi>&Sigma;</mi> <mrow> <mi>j</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <msub> <mi>a</mi> <mi>j</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>y</mi> <mi>i</mi> </msub> <mrow> <mo>(</mo> <mrow> <mo>(</mo> <mi>w</mi> <mo>&CenterDot;</mo> <msub> <mi>n</mi> <mi>j</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>t</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> <mo>+</mo> <mi>b</mi> <mo>)</mo> </mrow> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow> <mo>,</mo> </mrow> </math> A quadratic programming problem is transformed into a dual problem as shown in formula (3).
<math> <mrow> <mfenced open='' close='' separators='-'> <mtable> <mtr> <mtd> <mi>min</mi> <munderover> <mi>&Sigma;</mi> <mrow> <mi>j</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <msub> <mi>a</mi> <mi>j</mi> </msub> <mo>-</mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <munderover> <mi>&Sigma;</mi> <mrow> <mi>j</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <munderover> <mi>&Sigma;</mi> <mrow> <mi>j</mi> <mo>&prime;</mo> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <msub> <mi>a</mi> <mi>j</mi> </msub> <msub> <mi>a</mi> <mrow> <mi>j</mi> <mo>&prime;</mo> </mrow> </msub> <msub> <mi>y</mi> <mi>j</mi> </msub> <msub> <mi>y</mi> <mrow> <mi>j</mi> <mo>&prime;</mo> </mrow> </msub> <mrow> <mo>(</mo> <msub> <mi>n</mi> <mi>j</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>t</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> <mo>&CenterDot;</mo> <msub> <mi>n</mi> <mrow> <mi>j</mi> <mo>&prime;</mo> </mrow> </msub> <mrow> <mo>(</mo> <msub> <mi>t</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> <mo>)</mo> </mrow> </mtd> </mtr> <mtr> <mtd> <mi>s</mi> <mo>.</mo> <mi>t</mi> <mo>.</mo> <munderover> <mi>&Sigma;</mi> <mrow> <mi>j</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <msub> <mi>y</mi> <mi>j</mi> </msub> <msub> <mi>a</mi> <mi>j</mi> </msub> <mo>=</mo> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <msub> <mi>a</mi> <mi>j</mi> </msub> <mo>&GreaterEqual;</mo> <mn>0</mn> <mo>,</mo> <mi>j</mi> <mo>=</mo> <mn>1,2</mn> <mo>,</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>,</mo> <mi>n</mi> </mtd> </mtr> </mtable> </mfenced> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>3</mn> <mo>)</mo> </mrow> </mrow> </math>
Step 301, for a time window tiInner power quality signal sequence T = { (n)1(ti),y1),...,(nn(ti),ym) Training as training set to obtain new classification hyperplane and classification function wnewx+bnew=0, the algorithm is described as follows:
inputting: time slice ti-1Temporal classification hyperplane w0·x+b0=0 and support vector set SVi-1
Time slice tiSample T = { (n) in (1)1(ti),y1),...,(nn(ti),ym) }, training set sample Ti-1
And (3) outputting: sorting hyperplane w after batch incremental learningnewx+bnew=0,SVnew
Figure BDA0000381860060000073
Step 302, obtaining an incremental SVM algorithm according to the above-mentioned incremental SVM algorithmTime window tiRear characteristic hyperplane wix+bi=0, hyperplane versus time window t by this featurei+1Classifying the medium power quality signal to obtain a time window ti+1And classifying and marking the signals, adding the signals into a training set, and repeating the batch incremental learning, and so on.
As shown in fig. 4, a flowchart of a fourth embodiment of the early warning method for sensitive customer electric energy experience quality under voltage sag disturbance according to the present invention is shown, where this embodiment mainly describes a specific implementation process for calculating a voltage sag tolerance of a customer sensitive device, and includes:
and step 400, determining voltage tolerance curves of several types of sensitive equipment under different load levels for the sensitive equipment of the client under the guidance of an ITIC curve and a SEMI curve and based on a voltage sag disturbance actual measurement method.
Step 401, determining a fault area, a normal area and an uncertain area of the operation of the sensitive device according to the voltage sag tolerance curve.
Specifically, according to the ITIC curve and the SEMI curve, voltage sag disturbance sensitive areas of various devices shown in table 1 can be obtained. The area A represents a normal area where general sensitive equipment cannot be influenced, the area B represents an uncertain area where a semiconductor manufacturing enterprise is influenced, the area C represents an uncertain area where a computer type device, a PLC, an alternating current relay and the semiconductor manufacturing enterprise are influenced, the area D represents an uncertain area where the semiconductor manufacturing enterprise, a motor driving device and a sodium metal lamp are influenced, and the area E is a fault area of all sensitive equipment. A 6 x 7 division of the sensitive area is thus obtained.
TABLE 1 Voltage sag disturbance sensitive region of various sensitive devices
Figure BDA0000381860060000081
For loads with unknown customer sensitivity characteristics, the sensitivity characteristics under different operating environments, working conditions and different power quality disturbances are different, and the voltage sag sensitivity characteristics of the loads cannot be obtained due to the influence of a plurality of uncertain factors of a power supply system and the loads, and need to be evaluated through a method of multiple tests.
Load sensitivity is determined by monitoring the voltage sag characteristic of the load supply point and comparing it to the device voltage tolerance level. As shown in fig. 5, the fifth embodiment includes the following specific steps:
and 500, preparing sensitive equipment capable of being tested, and simulating a load operation scene.
Step 501, setting a power supply point and an electric energy metering point as a common connection point of a power supply department and a user.
Step 502, according to table 1, voltage sag disturbance sensitive areas are divided, each area is divided according to the medium power supply state of the same level, and voltage sag scenes corresponding to the test samples are simulated at the common connection point. The number of test samples and the probability of failure at different voltage sag levels are shown in fig. 2.
TABLE 2 Voltage sag Equipment sensitivity test scheme
Figure BDA0000381860060000092
Step 503, in the actual measurement process, performing an experiment in the order of the voltage sag disturbance degree from slight to severe, and determining an uncertain region of the sensitive load according to the region where the fault occurs for the first time.
As shown in fig. 6, a schematic flow chart of a sixth embodiment of the early warning method for sensitive customer electric energy experience quality under voltage sag disturbance according to the present invention is shown, where this embodiment mainly describes a specific implementation process of sensitive device fault rate evaluation based on a maximum entropy theory, and includes:
step 600, for the identified voltage sag disturbance, if the sag residual voltage amplitude and the duration thereof are located in the uncertainty region of the sensitive load, the identified voltage sag disturbance is converted into sample values of a corresponding sag amplitude severity index (MSI) and Duration Severity Index (DSI) according to equations (3) and (4).
<math> <mrow> <msub> <mi>&gamma;</mi> <mi>MSI</mi> </msub> <mo>=</mo> <mfenced open='{' close=''> <mtable> <mtr> <mtd> <mn>0</mn> </mtd> <mtd> <mi>U</mi> <mo>></mo> <msub> <mi>U</mi> <mi>max</mi> </msub> </mtd> </mtr> <mtr> <mtd> <mrow> <mo>(</mo> <msub> <mi>U</mi> <mi>max</mi> </msub> <mo>-</mo> <mi>U</mi> <mo>)</mo> </mrow> <mfrac> <mn>100</mn> <mrow> <msub> <mi>U</mi> <mi>max</mi> </msub> <mo>-</mo> <msub> <mi>U</mi> <mi>min</mi> </msub> </mrow> </mfrac> </mtd> <mtd> <msub> <mi>U</mi> <mi>min</mi> </msub> <mo>&le;</mo> <mi>U</mi> <mo>&le;</mo> <msub> <mi>U</mi> <mi>max</mi> </msub> </mtd> </mtr> <mtr> <mtd> <mn>100</mn> </mtd> <mtd> <mi>U</mi> <mo>&lt;</mo> <msub> <mi>U</mi> <mi>min</mi> </msub> </mtd> </mtr> </mtable> </mfenced> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>3</mn> <mo>)</mo> </mrow> </mrow> </math>
<math> <mrow> <msub> <mi>&gamma;</mi> <mi>DSI</mi> </msub> <mo>=</mo> <mfenced open='{' close=''> <mtable> <mtr> <mtd> <mn>0</mn> </mtd> <mtd> <mi>T</mi> <mo>&lt;</mo> <msub> <mi>T</mi> <mi>min</mi> </msub> </mtd> </mtr> <mtr> <mtd> <mrow> <mo>(</mo> <mi>T</mi> <mo>-</mo> <msub> <mi>T</mi> <mi>min</mi> </msub> <mo>)</mo> </mrow> <mfrac> <mn>100</mn> <mrow> <msub> <mi>T</mi> <mi>max</mi> </msub> <mo>-</mo> <msub> <mi>T</mi> <mi>min</mi> </msub> </mrow> </mfrac> </mtd> <mtd> <msub> <mi>T</mi> <mi>min</mi> </msub> <mo>&le;</mo> <mi>T</mi> <mo>&le;</mo> <msub> <mi>T</mi> <mi>max</mi> </msub> </mtd> </mtr> <mtr> <mtd> <mn>100</mn> </mtd> <mtd> <mi>T</mi> <mo>></mo> <msub> <mi>T</mi> <mi>max</mi> </msub> </mtd> </mtr> </mtable> </mfenced> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>4</mn> <mo>)</mo> </mrow> </mrow> </math>
Step 601, substituting the sample value into the maximum entropy model to determine the probability density function of the voltage sag severity index (MSI or DSI).
The probability density function of the voltage sag severity index (MSI or DSI) is determined based on the maximum entropy principle, and the method has the advantage that the probability density function of the random variable is solved directly according to sample data. When the random variables are distributed continuously, the maximum entropy model is as follows:
<math> <mrow> <mfenced open='' close=''> <mtable> <mtr> <mtd> <mi>max</mi> <mi>H</mi> <mrow> <mo>(</mo> <mi>x</mi> <mo>)</mo> </mrow> <mo>=</mo> <mo>-</mo> <munder> <mo>&Integral;</mo> <mi>R</mi> </munder> <mi>f</mi> <mrow> <mo>(</mo> <mi>x</mi> <mo>)</mo> </mrow> <mi>ln</mi> <mi>f</mi> <mrow> <mo>(</mo> <mi>x</mi> <mo>)</mo> </mrow> <mi>dx</mi> </mtd> </mtr> <mtr> <mtd> <mi>s</mi> <mo>.</mo> <mi>t</mi> <mo>.</mo> </mtd> </mtr> <mtr> <mtd> <munder> <mo>&Integral;</mo> <mi>R</mi> </munder> <mi>f</mi> <mrow> <mo>(</mo> <mi>x</mi> <mo>)</mo> </mrow> <mi>dx</mi> <mo>=</mo> <mn>1</mn> </mtd> </mtr> <mtr> <mtd> <munder> <mo>&Integral;</mo> <mi>R</mi> </munder> <mi>xf</mi> <mrow> <mo>(</mo> <mi>x</mi> <mo>)</mo> </mrow> <mi>dx</mi> <mo>=</mo> <msub> <mi>E</mi> <mn>1</mn> </msub> </mtd> </mtr> <mtr> <mtd> <munder> <mo>&Integral;</mo> <mi>R</mi> </munder> <msup> <mrow> <mo>(</mo> <mi>x</mi> <mo>-</mo> <msub> <mi>E</mi> <mn>1</mn> </msub> <mo>)</mo> </mrow> <mi>h</mi> </msup> <mi>f</mi> <mrow> <mo>(</mo> <mi>x</mi> <mo>)</mo> </mrow> <mi>dx</mi> <mo>=</mo> <msub> <mi>E</mi> <mi>h</mi> </msub> <mo>,</mo> <mi>h</mi> <mo>=</mo> <mn>2,3</mn> <mo>,</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>,</mo> <mi>N</mi> </mtd> </mtr> </mtable> </mfenced> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>5</mn> <mo>)</mo> </mrow> </mrow> </math>
in the formula (5), x is a random variable of the voltage sag severity index MSI or DSI of the sensitive equipment, R is a value boundary (a boundary depending on the residual voltage amplitude and the sag duration of the uncertain region of the sensitive load) of the variable x, H (x) is the entropy of the random variable, and f (x) is the random variableProbability density function of quantity x, E1And EhThe 1 st order point distance and the h order center distance which are the voltage sag severity indexes, and the order of the moment is determined to be 5 so as to satisfy the requirement of the evaluation accuracy, that is, N = 5.
Step 602, introducing a lagrangian operator to the maximum entropy model, and obtaining a probability density function analytic expression by using a classical partial differential method. When a voltage sag occurs in an uncertainty region (i, j), the failure rate P (i, j) of the device is:
<math> <mrow> <mi>P</mi> <mrow> <mo>(</mo> <mi>i</mi> <mo>,</mo> <mi>j</mi> <mo>)</mo> </mrow> <mo>=</mo> <munderover> <mo>&Integral;</mo> <msub> <mi>x</mi> <mi>MSI</mi> </msub> <msub> <mi>&gamma;</mi> <mover> <mi>i</mi> <mo>&OverBar;</mo> </mover> </msub> </munderover> <mi>f</mi> <mrow> <mo>(</mo> <msub> <mi>x</mi> <mi>MSI</mi> </msub> <mo>)</mo> </mrow> <msub> <mi>dx</mi> <mi>MSI</mi> </msub> <munderover> <mo>&Integral;</mo> <msub> <mi>x</mi> <mi>DSI</mi> </msub> <msub> <mi>&gamma;</mi> <mover> <mi>j</mi> <mo>&OverBar;</mo> </mover> </msub> </munderover> <mi>f</mi> <mrow> <mo>(</mo> <msub> <mi>x</mi> <mi>DSI</mi> </msub> <mo>)</mo> </mrow> <msub> <mi>dx</mi> <mi>DSI</mi> </msub> </mrow> </math>
wherein, <math> <mrow> <mi>f</mi> <mrow> <mo>(</mo> <mi>x</mi> <mo>)</mo> </mrow> <mo>=</mo> <mi>exp</mi> <mrow> <mo>(</mo> <msub> <mi>&lambda;</mi> <mn>0</mn> </msub> <mo>+</mo> <msub> <mi>&lambda;</mi> <mn>1</mn> </msub> <mi>x</mi> <mo>+</mo> <munderover> <mi>&Sigma;</mi> <mrow> <mi>h</mi> <mo>=</mo> <mn>2</mn> </mrow> <mi>N</mi> </munderover> <msub> <mi>&lambda;</mi> <mi>h</mi> </msub> <msup> <mrow> <mo>(</mo> <mi>x</mi> <mo>-</mo> <msub> <mi>E</mi> <mn>1</mn> </msub> <mo>)</mo> </mrow> <mi>h</mi> </msup> <mo>)</mo> </mrow> <mo>,</mo> <mi>h</mi> <mo>=</mo> <mn>2,3,4,5</mn> <mo>.</mo> </mrow> </math>
Figure BDA0000381860060000112
and
Figure BDA0000381860060000113
the residual voltage amplitude is at the middle of region i and the duration is at the middle of region j, respectively.
As shown in fig. 7, a flow diagram of a seventh embodiment of the early warning method for sensitive customer power experience quality under voltage sag disturbance according to the present invention is shown, where this embodiment mainly describes a specific implementation process of customer power experience quality analysis and early warning, and includes:
step 700, establishing a customer electric energy experience quality monitoring platform;
and 701, detecting the power consumption quality possibly threatening the customer by the current power quality disturbance according to the online real-time monitoring result of the power quality disturbance and the sensitivity level of the customer.
By implementing the method and the system, the power quality disturbance condition can be accurately monitored, whether the disturbance possibly affects the load of the client or not is determined according to the load sensitivity of the client, and the potential danger of load operation is discovered. On the basis, the concept of customer electric energy experience is put forward, and the early warning is carried out on the customers with potential danger in load operation. The method is beneficial to reducing the power supply and utilization risks and technical transformation of power enterprises and sensitive customers, and has important significance for customizing the power in a differentiated mode.
It will be understood by those skilled in the art that all or part of the processes of the methods of the embodiments described above can be implemented by a computer program, which can be stored in a computer-readable storage medium, and when executed, can include the processes of the embodiments of the methods described above. The storage medium may be a magnetic disk, an optical disk, a Read-Only Memory (ROM), a Random Access Memory (RAM), or the like.
The foregoing is a more detailed description of the invention in connection with specific preferred embodiments and it is not intended that the invention be limited to these specific details. For those skilled in the art to which the invention pertains, several simple deductions or substitutions can be made without departing from the spirit of the invention, and all shall be considered as belonging to the protection scope of the invention.

Claims (7)

1. A method for early warning of sensitive customer power experience quality under voltage sag disturbance is characterized by comprising the following steps:
automatically identifying voltage sag disturbance of sensitive customers based on an S transformation fast algorithm and an incremental SVM classifier;
determining voltage tolerance curves of equipment corresponding to several types of sensitive customers under different load levels based on the voltage sag disturbance identification result;
and converting historical monitoring data of voltage sag disturbance into sample values of an amplitude severity index MSI and a duration severity index DSI of the voltage sag according to the sample values serving as samples, determining probability density functions of the MSI and the DSI based on a maximum entropy principle, evaluating the fault probability of the sensitive equipment, and obtaining the fault probability of the sensitive equipment corresponding to the sensitive customer under the voltage sag level.
2. The early warning method for the experience quality of the electric energy of the sensitive client under the voltage sag disturbance, according to the claim, is characterized in that the automatic identification of the voltage sag disturbance of the sensitive client is carried out based on an S transformation fast algorithm and an incremental SVM classifier, and comprises the following steps:
determining a sensitive client as a monitoring point, monitoring the power quality disturbance of the sensitive client in real time, and acquiring a voltage signal and a current signal of sensitive equipment as the monitoring point;
for the voltage signal and the current signal of the monitoring point, extracting the characteristics based on an S transformation rapid algorithm, and extracting the standard deviation of the modulus coefficient of each frequency section, the maximum modulus coefficient and the modulus coefficient corresponding to the rated frequency as the characteristic vector of the disturbance signal;
and inputting the characteristic vectors into an incremental SVM classifier to classify the power quality disturbance, and automatically identifying the voltage sag disturbance.
3. The method for early warning of sensitive customer power experience quality under voltage sag disturbance according to claim 2, wherein the fast algorithm of S-transform is as follows:
Figure FDA0000381860050000021
where ω (τ -t, σ) is a generalized window function for all frequencies v within a unit region.
4. The method for early warning of sensitive customer power experience quality under voltage sag disturbance according to claim 3, wherein the step of inputting the feature vectors into an incremental SVM classifier for power quality disturbance classification and automatically identifying the voltage sag disturbance comprises the following steps:
dividing the characteristic vectors into time windows, and using an incremental learning mechanism to learn the characteristic vectors arriving in one time window in batches;
within the last n time windows, if the number of times a feature vector sample does not become a support vector exceeds ξ, it is removed from the training set.
5. The method for providing an early warning of the quality of experience of sensitive customer electrical energy under voltage sag disturbance according to claim 4, wherein the sensitive devices comprise a Programmable Logic Controller (PLC), a speed-adjustable driving device (ASD), a computer (PC) and an Alternating Current Contactor (ACC).
6. The method for early warning of sensitive customer power quality of experience under voltage sag disturbance according to claim 5, wherein the maximum entropy model is:
<math> <mfenced open='' close=''> <mtable> <mtr> <mtd> <mi>max</mi> <mi>H</mi> <mrow> <mo>(</mo> <mi>x</mi> <mo>)</mo> </mrow> <mo>=</mo> <mo>-</mo> <munder> <mo>&Integral;</mo> <mi>R</mi> </munder> <mi>f</mi> <mrow> <mo>(</mo> <mi>x</mi> <mo>)</mo> </mrow> <mi>ln</mi> <mi>f</mi> <mrow> <mo>(</mo> <mi>x</mi> <mo>)</mo> </mrow> <mi>dx</mi> </mtd> </mtr> <mtr> <mtd> <mi>s</mi> <mo>.</mo> <mi>t</mi> <mo>.</mo> </mtd> </mtr> <mtr> <mtd> <munder> <mo>&Integral;</mo> <mi>R</mi> </munder> <mi>f</mi> <mrow> <mo>(</mo> <mi>x</mi> <mo>)</mo> </mrow> <mi>dx</mi> <mo>=</mo> <mn>1</mn> </mtd> </mtr> <mtr> <mtd> <munder> <mo>&Integral;</mo> <mi>R</mi> </munder> <mi>xf</mi> <mrow> <mo>(</mo> <mi>x</mi> <mo>)</mo> </mrow> <mi>dx</mi> <mo>=</mo> <msub> <mi>E</mi> <mn>1</mn> </msub> </mtd> </mtr> <mtr> <mtd> <munder> <mo>&Integral;</mo> <mi>R</mi> </munder> <msup> <mrow> <mo>(</mo> <mi>x</mi> <mo>-</mo> <msub> <mi>E</mi> <mn>1</mn> </msub> <mo>)</mo> </mrow> <mi>h</mi> </msup> <mi>f</mi> <mrow> <mo>(</mo> <mi>x</mi> <mo>)</mo> </mrow> <mi>dx</mi> <mo>=</mo> <msub> <mi>E</mi> <mi>h</mi> </msub> <mo>,</mo> <mi>h</mi> <mo>=</mo> <mn>2,3</mn> <mo>,</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>,</mo> <mi>N</mi> </mtd> </mtr> </mtable> </mfenced> </math>
wherein x is a random variable of the voltage sag severity index MSI or DSI of the sensitive equipment, R is a value boundary of a variable x, H (x) is the entropy of the random variable, f (x) is a probability density function of the random variable x, E is the probability density function of the random variable x1And EhThe point distance of 1 st order and the center distance of h order of the severity index of voltage sag.
7. The method for early warning of power experience quality of sensitive customers under voltage sag disturbance according to claim 6, wherein the determining probability density functions of MSI and DSI based on the maximum entropy principle, evaluating the fault probability of sensitive equipment, and obtaining the fault probability of the sensitive equipment corresponding to the sensitive customers under the voltage sag level comprises:
introducing a Lagrange operator into the maximum entropy model, and obtaining a probability density function analytic expression by using a classical partial differential method;
when a voltage sag occurs in an uncertainty region (i, j), the failure rate P (i, j) of the device is:
<math> <mrow> <mi>P</mi> <mrow> <mo>(</mo> <mi>i</mi> <mo>,</mo> <mi>j</mi> <mo>)</mo> </mrow> <mo>=</mo> <munderover> <mo>&Integral;</mo> <msub> <mi>x</mi> <mi>MSI</mi> </msub> <msub> <mi>&gamma;</mi> <mover> <mi>i</mi> <mo>&OverBar;</mo> </mover> </msub> </munderover> <mi>f</mi> <mrow> <mo>(</mo> <msub> <mi>x</mi> <mi>MSI</mi> </msub> <mo>)</mo> </mrow> <msub> <mi>dx</mi> <mi>MSI</mi> </msub> <munderover> <mo>&Integral;</mo> <msub> <mi>x</mi> <mi>DSI</mi> </msub> <msub> <mi>&gamma;</mi> <mover> <mi>j</mi> <mo>&OverBar;</mo> </mover> </msub> </munderover> <mi>f</mi> <mrow> <mo>(</mo> <msub> <mi>x</mi> <mi>DSI</mi> </msub> <mo>)</mo> </mrow> <msub> <mi>dx</mi> <mi>DSI</mi> </msub> </mrow> </math>
wherein, <math> <mrow> <mi>f</mi> <mrow> <mo>(</mo> <mi>x</mi> <mo>)</mo> </mrow> <mo>=</mo> <mi>exp</mi> <mrow> <mo>(</mo> <msub> <mi>&lambda;</mi> <mn>0</mn> </msub> <mo>+</mo> <msub> <mi>&lambda;</mi> <mn>1</mn> </msub> <mi>x</mi> <mo>+</mo> <munderover> <mi>&Sigma;</mi> <mrow> <mi>h</mi> <mo>=</mo> <mn>2</mn> </mrow> <mi>N</mi> </munderover> <msub> <mi>&lambda;</mi> <mi>h</mi> </msub> <msup> <mrow> <mo>(</mo> <mi>x</mi> <mo>-</mo> <msub> <mi>E</mi> <mn>1</mn> </msub> <mo>)</mo> </mrow> <mi>h</mi> </msup> <mo>)</mo> </mrow> <mo>,</mo> <mi>h</mi> <mo>=</mo> <mn>2,3,4,5</mn> <mo>.</mo> </mrow> </math>
Figure FDA0000381860050000033
and
Figure FDA0000381860050000034
the residual voltage amplitude is at the middle of region i and the duration is at the middle of region j, respectively.
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