CN112379178B - Method, system and storage medium for judging similarity of two waveforms with time delay - Google Patents

Method, system and storage medium for judging similarity of two waveforms with time delay Download PDF

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CN112379178B
CN112379178B CN202011173840.XA CN202011173840A CN112379178B CN 112379178 B CN112379178 B CN 112379178B CN 202011173840 A CN202011173840 A CN 202011173840A CN 112379178 B CN112379178 B CN 112379178B
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陶勇
胡晓非
赵枫
谢智奕
高传海
乔惠
张蕾
张俊
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Hefei Power Supply Co of State Grid Anhui Electric Power Co Ltd
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Abstract

The method, the system and the storage medium for judging the similarity of two delayed waveforms can be used for judging the similarity of two groups of square waveforms and judging whether the periodic square-wave current signals generated by an extension are the same as the current signals measured by any one of the main machines in a phase change relation judging device. The method comprises the following steps: setting a sampling circuit to sample a signal I and a signal II; respectively removing direct current components in the sampled signals; carrying out phase detection on the two waveforms; carrying out phase synchronization on the two waveforms; and calculating the similarity of the two waveforms. The invention relates to a method for judging similarity of two delayed waveforms, which judges the delay time of two signals by adopting shift multiplication; correcting the sampling data of the two signals according to the delay time to eliminate the delay of the two waveforms; and judging the similarity of the two signals by adopting a same point sampling value subtraction algorithm.

Description

Method, system and storage medium for judging similarity of two waveforms with time delay
Technical Field
The invention relates to the technical field of phase change relation judging equipment, in particular to a method and a system for judging similarity of two waveforms with time delay and a storage medium.
Background
In the station area and the line identification device, two (continuous) measurement period current waveforms (for example, 0-ts is connected with about 5A current, t-2ts is connected with about 10A current, and 2t-4ts is disconnected with all currents, so that the period is circulated) need to be compared, and the similarity between the host waveform and the extension waveform is given. The following example in FIG. 1:
to achieve the above object, there are the following technical problems:
(1) the current measured by the main machine and the extension machine is different, and the main machine is I Main =I Is divided into +I User While the extension current is only I Is divided into The current amplitudes of the two are different originally;
②I user' s The current will change randomly with the on/off of the user's electrical load, i.e. I User A non-periodic variation;
(3) the time when the host computer and the extension computer start to measure is asynchronous, so that the waveforms measured by the host computer and the extension computer have a hysteresis phenomenon in a time domain.
The invention can solve the similarity of two waveforms aiming at the technical problems.
The problems are that the prior common technologies comprise:
1) Method for detecting effective value
CN101067928: a new method for measuring the similarity of voice waveforms is characterized in that: the method is realized completely based on the time domain, and has small calculated amount, good noise resistance and high accuracy; the basic idea is as follows: for a section of voice signal x (t), firstly finding two adjacent zero-crossing points t1 and t2 (t 1 is less than t 2); in the interval [ t1, t2], the speech signal x (t) is cut into N parts which are not overlapped with each other by using a straight line parallel to a horizontal axis, the area of each part is calculated, and then the areas of the N parts are made into an N-dimensional vector in sequence; performing similar processing on another voice signal to obtain another N-dimensional vector; the similarity of two speech waveforms can be obtained by calculating the distance between two N-dimensional vectors. If the corresponding components of the two N-dimensional vectors are proportional, it can be determined that the two speech waveforms are similar (i.e., relatively similar) when scaled up or down. The voice waveform similarity measuring method not only can measure the absolute similarity of the voice waveforms, but also can measure the relative similarity of the voice waveforms (namely the similarity of the voice waveforms after being amplified or reduced), can be used for detecting the fundamental tone of the voice signals, compressing and restoring the voice signals with high quality, extracting nonlinear characteristics and the like, and has various influences on the processing of the voice signals.
The method adopts an effective value detection method to judge the effective value (namely the area) between two zero-crossing points, and the two zero-crossing points are similar according to whether the area value approaches.
The method has the following defects or shortcomings: only one parameter of the effective value of the waveform is used as an interpretation basis, and other parameters of the waveform, such as direct current component, frequency, amplitude, shape, phase, interference information and the like, are not introduced, so that the accuracy of judgment is lower.
2) Harmonic and Euler formula analysis method
CN110007141: the invention discloses a resonance point detection method based on voltage and current harmonic similarity, which comprises the following steps of firstly, injecting carrier current signals with equal amplitude and different frequencies to the low-voltage side of a transformer by using a low-frequency carrier transmitter; step two, detecting a voltage signal U (t) and a current signal I (t) of the low-voltage side of the transformer; extracting voltage and current harmonics in the measurement signal according to a sliding DFT algorithm; calculating the similarity between voltage and current harmonic waveforms according to a cosine similarity calculation formula; and step five, determining a resonance point according to the similarity between the voltage and current harmonics obtained by calculation. The method is simple to realize, only needs to measure the voltage and current signals of the low-voltage side of the transformer, has small calculated amount, does not need to upload measured data to a master station, can carry out local analysis, and can realize real-time online detection on the resonance point.
The method adopts the FFT algorithm to carry out frequency domain analysis, and cosine similarity calculation is carried out aiming at each harmonic.
The presence of defects or deficiencies: the algorithm is complex, and parameters such as direct current components, phases, interference information and the like of the waveform are not considered.
Disclosure of Invention
The method for judging the similarity of two delayed waveforms can be used for judging the similarity of two groups of square waveforms and judging which path of current signals measured in a host is the same as the periodic square current signals generated by an extension in a phase change relation judging device.
In order to achieve the purpose, the invention adopts the following technical scheme:
a method for judging similarity of two waveforms with time delay comprises the following steps:
setting a sampling circuit to sample a signal I and a signal II;
respectively removing direct current components in the sampled signals;
carrying out phase detection on the two waveforms;
carrying out phase synchronization on the two waveforms;
and calculating the similarity of the two waveforms.
Further, the respectively removing the dc components from the sampled signals specifically includes:
and accumulating the sampled values to obtain the arithmetic mean value of all the sampling points, and then subtracting the arithmetic mean value from the data of each sampling point to remove the direct current component in the signal.
Further, the phase detection of the two waveforms specifically includes:
y is calculated according to the following formula 1 -Y T
Figure BDA0002748137730000031
Figure BDA0002748137730000032
Figure BDA0002748137730000033
..................................
Figure BDA0002748137730000034
i 1 (n) is a sampled signal representation of signal one, n corresponding to the nth signal;
i 2 (n + 1) is a sample signal representation of signal two, and n corresponds to the nth signal and represents the signal relative to i 1 (n) delayed by one sample point;
t is the number of sampling points in the waveform within half period time;
taking Y 1 -Y T And if the median value is minimum, the delay time difference of the two signals is 1/2 period in the state.
Further, the similarity of the two waveforms is calculated according to the following formula:
Figure BDA0002748137730000041
Figure BDA0002748137730000042
m +1 is the number of sampling points adopted for evaluating the similarity of the signal 1 and the signal 2; n _ delay is the number of sampling points of the two signals relative to the first signal and the actual delay;
the values of F1 and F2 are compared, and the maximum value of the two is taken as the similarity.
On the other hand, the invention also discloses a system for judging similarity of two delayed waveforms, which comprises the following units:
the signal input unit is used for setting the sampling circuit to carry out signal one and signal two sampling;
a direct current component removing unit for respectively removing the direct current components in the sampled signals;
the phase detection unit is used for carrying out phase detection on the two waveforms;
the phase synchronization unit is used for carrying out phase synchronization on the two waveforms;
and the similarity statistical unit is used for calculating the similarity of the two waveforms.
In a third aspect, the present invention also discloses a computer readable storage medium storing a computer program which, when executed by a processor, causes the processor to perform the steps of the above method.
According to the technical scheme, the two waveform similarity judging methods with time delay adopt shift multiplication to judge the time delay of two signals; correcting the sampling data of the two signals according to the delay time to eliminate the delay of the two waveforms; and judging the similarity of the two signals by adopting a same point sampling value subtraction algorithm.
In summary, the invention has the following advantages:
1) The judgment can be carried out by adopting smaller processor storage space and operation speed;
2) Besides similarity judgment, delay caused by transmission, sampling and the like can be made up.
Drawings
FIG. 1 illustrates exemplary host and extension waveforms of the background art;
FIG. 2 is a flow chart of the method of the present invention;
FIG. 3 is a graph of current sampling curves for a host and an extension formed by an embodiment of the present invention;
FIG. 4 is a waveform diagram after removing DC component according to the embodiment of the present invention;
FIG. 5 is a schematic diagram of phase detection according to an embodiment of the present invention;
FIG. 6 is a schematic diagram of a cascade connection investigation for electric energy meters according to an embodiment of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the embodiments of the present invention clearer, the technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are some, but not all, embodiments of the present invention.
As shown in fig. 2, the method for determining similarity between two waveforms with delay according to this embodiment includes the following steps:
setting a sampling circuit to sample a signal I and a signal II;
respectively removing direct current components in the sampled signals;
carrying out phase detection on the two waveforms;
carrying out phase synchronization on the two waveforms;
and calculating the similarity of the two waveforms.
The following are specifically described:
1. signal input
The special current measuring circuit (designed circuit sampling circuit) samples the current value at a certain interval (sampling frequency) according to a time domain protocol to form current sampling curve data of the host and the extension. As shown in fig. 3;
2. removing DC component
And accumulating the sampled values to obtain the arithmetic mean value of all the sampling points, and then subtracting the arithmetic mean value from the data of each sampling point to remove the direct current component in the signal. After the dc component is removed, the waveform diagram is shown in fig. 4;
3. phase detection
As shown in fig. 4 for two waveforms coming into phase synchronization, there is a delay between the two waveforms. Y1-YT is calculated according to the following formula
Figure BDA0002748137730000061
Figure BDA0002748137730000062
Figure BDA0002748137730000063
..................................
Figure BDA0002748137730000064
i 1 (n) is a sample signal representation of signal 1, n corresponding to the nth signal.
i 2 (n + 1) is a sample signal representation of signal 2, and n corresponds to the nth signal and represents the signal relative to i 1 (n) delayed by 1 sample point.
And T is the number of sampling points in the waveform within half period time.
Get Y 1 -Y T And if the median value is minimum, the delay time difference of the two signals is 1/2 period in the state. As shown in fig. 5;
4. phase synchronization
From this it can be derived how many samples n _ delay signal 2 is actually delayed from signal 1. Can be regarded as i 1 (n) and i 2 (n + n _ delay) or i 2 (n-n _ delay) there is a synchronization relationship.
5. Similarity statistics
Calculating the similarity:
Figure BDA0002748137730000065
Figure BDA0002748137730000066
m +1 is the number of samples taken for signal 1, signal 2 to evaluate similarity.
The values of F1 and F2 are compared, and the maximum value of the two is taken as the similarity.
The following are exemplified:
the shunt in the phase change relation judging device starts to switch in about 5A current according to 0-1s, switch in about 10A current according to 1-2s and switch off all the current according to the appointed time, circulates for 6 periods, synchronously starts to sample the switched-in current at an interval of 50ms, and samples 480 points in total. The current values of the three current sampling channels of the host are also sampled at 50ms intervals according to the appointed time.
And the APP reads the current sampling values of the three paths of the main machine and the current sampling values of the extension machine. According to the process described in the technical scheme, the similarity between the current sampling value of each path of the host and the current sampling value of the extension is calculated, and the similarity is used for telling a user that the current value of the path is closer to the current value of the extension.
The invention can also be used for checking the electric energy meter serial connection, for example, the field wiring is complex, and two electric energy meters can be connected in series, as shown in fig. 6. The electric energy meter 1 can simultaneously measure the electric quantity of the user 1 and the user 2, so that the user 1 pays more electric charges.
The checking method is as follows:
and placing the extension at the position of a user 2, connecting the 1 st path of current sampling of the host to the wire outlet position of the electric energy meter 1, and connecting the 2 nd path of current sampling of the host to the wire outlet position of the electric energy meter 2. If the similarity between the current sampled by the extension set and the current sampled by the 1 st path and the 2 nd path of the host reaches a certain degree, the possibility that the electric energy meter 1 and the electric energy meter 2 are connected in series can be considered.
On the other hand, the invention also discloses a system for judging similarity of two waveforms with time delay, which comprises the following units:
the signal input unit is used for setting the sampling circuit to sample a signal I and a signal II;
a direct current component removing unit for respectively removing the direct current components in the sampled signals;
the phase detection unit is used for carrying out phase detection on the two waveforms;
the phase synchronization unit is used for carrying out phase synchronization on the two waveforms;
and the similarity counting unit is used for calculating the similarity of the two waveforms.
In a third aspect, the present invention also discloses a computer readable storage medium storing a computer program, which, when executed by a processor, causes the processor to perform the steps of the above method.
It is understood that the system provided by the embodiment of the present invention corresponds to the method provided by the embodiment of the present invention, and the explanation, the example and the beneficial effects of the related contents can refer to the corresponding parts in the method.
As will be appreciated by one skilled in the art, embodiments of the present application may be provided as a method, system, or computer program product. Accordingly, the present application may take the form of an entirely hardware embodiment, an entirely software embodiment or an embodiment combining software and hardware aspects. Furthermore, the present application may take the form of a computer program product embodied on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROM, optical storage, and the like) having computer-usable program code embodied therein.
The present application is described with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the application. It will be understood that each flow and/or block of the flow diagrams and/or block diagrams, and combinations of flows and/or blocks in the flow diagrams and/or block diagrams, can be implemented by computer program instructions. These computer program instructions may be provided to a processor of a general purpose computer, special purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, create means for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be stored in a computer-readable memory that can direct a computer or other programmable data processing apparatus to function in a particular manner, such that the instructions stored in the computer-readable memory produce an article of manufacture including instruction means which implement the function specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be loaded onto a computer or other programmable data processing apparatus to cause a series of operational steps to be performed on the computer or other programmable apparatus to produce a computer implemented process such that the instructions which execute on the computer or other programmable apparatus provide steps for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
The above examples are only intended to illustrate the technical solution of the present invention, but not to limit it; although the present invention has been described in detail with reference to the foregoing embodiments, it will be understood by those of ordinary skill in the art that: the technical solutions described in the foregoing embodiments may still be modified, or some technical features may be equivalently replaced; and such modifications or substitutions do not depart from the spirit and scope of the corresponding technical solutions of the embodiments of the present invention.

Claims (3)

1. A method for judging similarity of two waveforms with time delay is characterized in that: the method comprises the following steps:
setting a sampling circuit to sample a signal I and a signal II;
respectively removing direct current components in the sampled signals;
carrying out phase detection on the two waveforms;
carrying out phase synchronization on the two waveforms;
calculating the similarity of the two waveforms;
the step of respectively removing the dc components in the sampled signals specifically includes:
accumulating the sampled values, solving the arithmetic mean value of all the sampling points, and then subtracting the arithmetic mean value from the data of each sampling point to remove the direct current component in the signal;
the phase detection of the two waveforms specifically includes:
y is calculated according to the following formula 1 ,Y 2 ……Y T
Figure FDA0003856805560000011
Figure FDA0003856805560000012
Figure FDA0003856805560000013
..................................
Figure FDA0003856805560000014
i 1 (n) is a sampled signal representation of signal one, n corresponding to the nth signal;
i 2 (n + 1) is a sample signal representation of signal two, and n corresponds to the nth signal and represents the signal relative to i 1 (n) delayed by one sample point;
t is the number of sampling points in the waveform within half period time;
get Y 1 ,Y 2 ……Y T If the median value is the minimum one, the delay time difference of the two signals is 1/2 period under the state; thus, the number of sampling points n _ delay of the two signals relative to the one signal is obtained;
the similarity of the two waveforms is calculated according to the following formula:
Figure FDA0003856805560000015
Figure FDA0003856805560000016
m +1 is the number of sampling points adopted by the similarity evaluation of the first signal and the second signal; n _ delay is the number of sampling points of the two signals relative to the actual delay of the one signal;
the values of F1 and F2 are compared, and the maximum value of the two values is taken as the similarity.
2. A system for judging similarity of two waveforms with delay, which is used for implementing the method for judging similarity of two waveforms with delay according to claim 1, and is characterized in that: the method comprises the following units:
the signal input unit is used for setting the sampling circuit to carry out signal one and signal two sampling;
a direct current component removing unit for respectively removing the direct current components in the sampled signals;
a phase detection unit for performing phase detection on the two waveforms;
the phase synchronization unit is used for carrying out phase synchronization on the two waveforms;
and the similarity counting unit is used for calculating the similarity of the two waveforms.
3. A computer-readable storage medium, in which a computer program is stored which, when being executed by a processor, causes the processor to carry out the steps of the method as claimed in claim 1.
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