CN117517755B - Method for rapidly determining alternating current component in electric quantity and protection measurement and control safety device - Google Patents
Method for rapidly determining alternating current component in electric quantity and protection measurement and control safety device Download PDFInfo
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Abstract
The invention provides a method for rapidly determining alternating current components in electric quantity and a protection measurement and control self-installation device, wherein the method comprises the following steps: collecting fault signals in a power system; sampling the fault signal to obtain at least 3 continuous original sampling points; performing differential operation on at least 3 continuous original sampling points to obtain at least two differential alternating current components after differential operation; inputting at least two first differential alternating current components into a fault alternating current component determining model to obtain first alternating current components of fault signals; the fault alternating current component determination model is obtained by performing taylor expansion on alternating current components of fault currents. Compared with the current alternating current component determining method, the method for rapidly determining the alternating current component in the electric quantity can improve the accuracy of the obtained alternating current component.
Description
Technical Field
The invention relates to the technical field of electric power system measurement, in particular to a method for rapidly determining alternating current components in electric quantity and a protection measurement and control safety device.
Background
With the development of global power marketization and grid regional interconnection, the running environment of a power grid is increasingly complex, the problem of safe and stable running is increasingly outstanding, and the dynamic safety monitoring capability of the power grid is urgently required to be improved.
At present, a commonly used measurement algorithm under the steady-state condition of a power system is a phasor measurement algorithm, and when the power system fails, the algorithm cannot respond quickly. Particularly, when a short circuit/ground fault occurs in a power system, the fault current often contains an attenuated direct current component, and the traditional measurement type phasor measurement algorithm cannot overcome the adverse effect of the direct current component, so that a great error is introduced to the calculation of the alternating current component.
In summary, how to quickly determine the ac component in the fault current and reduce the influence of the dc component at the same time becomes a technical problem to be solved.
Disclosure of Invention
The embodiment of the invention provides a method for quickly determining an alternating current component in an electric quantity and a protection measurement and control safety device, which are used for solving the problem that the direct current component is influenced by the existing method for determining the alternating current component in fault current, and the alternating current component in the fault current cannot be quickly and accurately calculated.
In a first aspect, an embodiment of the present invention provides a method for quickly determining an ac component in an electrical quantity, including:
Collecting fault signals in a power system;
sampling the fault signal to obtain at least 3 continuous original sampling points, wherein a current sampling value of each original sampling point comprises an alternating current component;
performing differential operation on at least 3 continuous original sampling points to obtain at least two differential alternating current components after differential operation;
inputting at least two first differential alternating current components into a fault alternating current component determining model to obtain first alternating current components of fault signals; the fault alternating current component determination model is obtained by performing taylor expansion on alternating current components of fault currents.
In one possible implementation, the fault ac current component determination model is:
；
wherein X is 1 And X 2 An unknown quantity to be determined in the model is determined for the fault alternating current component,is angular frequency, t is time constant.
In a second aspect, an embodiment of the present invention provides a method for quickly determining an ac component in an electrical quantity, including:
collecting fault signals in a power system;
sampling the fault signal to obtain at least 3 continuous original sampling points, wherein a current sampling value of each original sampling point comprises an alternating current component and a direct current component;
Performing differential operation on at least 3 continuous original sampling points to obtain at least two differential alternating current components after differential operation;
bringing at least two first differential alternating current components into a fault alternating current component determination model to obtain first alternating current components; the fault alternating current component determining model is obtained by carrying out Taylor expansion on the alternating current component of the fault current;
discretizing the first alternating current component into a plurality of first discrete alternating current components based on the sampling interval; wherein the number of the plurality of first discrete alternating current components is the same as the number of at least 3 consecutive original sampling points;
determining a plurality of first discrete direct current components based on the difference between the current sample values of at least 3 consecutive original sample points and the plurality of first discrete alternating current components, and the fault direct current component determination model; the fault direct current component determination model is obtained by carrying out Taylor expansion on the direct current component of the fault current;
carrying out difference processing on the current sampling values of at least 3 continuous original sampling points and a plurality of first discrete direct current components to obtain a plurality of alternating current components with discrete direct current components removed;
and carrying out differential processing on the alternating current components with the discrete direct current components removed, and then carrying out differential processing on the alternating current components to obtain a second alternating current component of the fault signal.
In one possible implementation, the step of introducing at least two first differential ac components into the fault ac current component determination model to obtain first ac components includes:
bringing at least two first differential alternating current components into a fault alternating current component determination model to obtain first alternating current intermediate components;
and correcting the amplitude phase of the first alternating current intermediate component to obtain a corrected first alternating current component.
In one possible implementation, determining the plurality of first discrete dc components based on the difference between the current sample values of at least 3 consecutive original sample points and the plurality of first discrete ac components and the fault dc current component determination model includes:
obtaining at least 3 first direct current components based on the difference between the current sampling values of at least 3 continuous original sampling points and the plurality of first discrete alternating current components;
inputting at least 3 first direct current components into a fault direct current component determination model to determine unknowns in the fault direct current component determination model;
at least 3 first discrete direct current components are determined based on the fault direct current component determination model and the sampling interval.
In one possible implementation manner, the performing, by using the differential processing result of the ac components with the discrete dc components removed, the result of the differential processing on the ac components with the discrete dc components removed is carried into a fault ac current component determining model, to obtain a second ac component of the fault signal, including:
Performing differential processing on the alternating current components with the discrete direct current components removed to obtain at least two differential alternating current components after differential processing;
bringing at least two second differential alternating current components into a fault alternating current component determination model to obtain second alternating current components;
and correcting the amplitude phase of the second alternating current component to obtain the second alternating current component of the fault signal.
In one possible implementation, the determining method further includes:
after the second alternating current component is subjected to amplitude phase correction processing, discretizing the processed second alternating current component into a plurality of second discrete alternating current components based on sampling intervals;
determining a plurality of second discrete direct current components based on the difference between the current sample values of at least 3 consecutive original sample points and the plurality of second discrete alternating current components and the fault direct current component determination model;
carrying out difference processing on the current sampling values of at least 3 continuous original sampling points and a plurality of second discrete direct current components to obtain a plurality of alternating current components with discrete direct current components removed;
and carrying out differential processing on a plurality of alternating current components with discrete direct current components removed, and then carrying out differential processing on the alternating current components to obtain a third alternating current component of the fault signal.
In one possible implementation, the fault ac current component determination model is:
；
the fault direct current component determination model is as follows:
；
wherein X is 1 、X 2 、X 3 、X 4 Determining a model for the fault ac current component and determining an unknown quantity of the model for the fault dc current component,is angular frequency, t is time constant.
In a third aspect, an embodiment of the present invention provides an apparatus for rapidly determining an ac component in an electrical quantity, the apparatus including:
the acquisition module is used for acquiring fault signals in the power system;
the sampling module is used for sampling the fault signal to obtain at least 3 continuous original sampling points, wherein a current sampling value of each original sampling point comprises an alternating current component and a direct current component;
the differential module is used for carrying out differential operation on at least 3 continuous original sampling points to obtain at least two differential alternating current components after differential;
the determining module is used for inputting at least two first differential alternating current components into the fault alternating current component determining model to obtain first alternating current components of fault signals; the fault alternating current component determination model is obtained by performing taylor expansion on alternating current components of fault currents.
In one possible implementation, the fault ac current component determination model is:
；
wherein X is 1 And X 2 Model unknowns are determined for the fault ac current components,is angular frequency, t is time constant.
In a fourth aspect, an embodiment of the present invention provides an apparatus for rapidly determining an ac component in an electrical quantity, the apparatus including:
the acquisition module is used for acquiring fault signals in the power system;
the sampling module is used for sampling the fault signal to obtain at least 3 continuous original sampling points, wherein a current sampling value of each original sampling point comprises an alternating current component and a direct current component;
the first differential module is used for carrying out differential operation on at least 3 continuous original sampling points to obtain at least two differential alternating current components after differential;
the first determining module is used for bringing at least two first differential alternating current components into the fault alternating current component determining model to obtain first alternating current components; the fault alternating current component determining model is obtained by carrying out Taylor expansion on the alternating current component of the fault current;
a second determination module for discretizing the first alternating current component into a plurality of first discrete alternating current components based on the sampling interval; wherein the number of the plurality of first discrete alternating current components is the same as the number of at least 3 consecutive original sampling points;
A third determining module, configured to determine a plurality of first discrete dc components based on a difference between the current sampling values of at least 3 consecutive original sampling points and the plurality of first discrete ac components, and a fault dc current component determining model; the fault direct current component determination model is obtained by carrying out Taylor expansion on the direct current component of the fault current;
a fourth determining module, configured to perform a difference processing on the current sampling values of at least 3 continuous original sampling points and a plurality of first discrete dc components, to obtain a plurality of ac components from which the discrete dc components are removed;
and a fifth determining module, configured to bring the results obtained by performing differential processing on the plurality of ac components from which the discrete dc components are removed into a fault ac current component determining model, so as to obtain a second ac component of the fault signal.
In some embodiments, a first determining module is configured to bring at least two first differential ac components into a fault ac current component determining model to obtain a first ac intermediate component;
and correcting the amplitude phase of the first alternating current intermediate component to obtain a corrected first alternating current component.
In some embodiments, the third determining module is configured to obtain at least 3 first dc components based on differences between the current sampling values of the at least 3 consecutive original sampling points and the plurality of first discrete ac components;
Inputting at least 3 first direct current components into a fault direct current component determination model to determine unknowns in the fault direct current component determination model;
at least 3 first discrete direct current components are determined based on the fault direct current component determination model and the sampling interval.
In some embodiments, the fifth determining module is configured to perform differential processing on the plurality of ac components from which the discrete dc components are removed to obtain at least two differential ac components after differential processing;
bringing at least two second differential alternating current components into a fault alternating current component determination model to obtain second alternating current components;
and correcting the amplitude phase of the second alternating current component to obtain the second alternating current component of the fault signal.
In some embodiments, the fifth determining module is configured to, after performing the correction processing of the amplitude phase on the second ac component, discretize the processed second ac component into a plurality of second discrete ac components based on the sampling interval;
determining a plurality of second discrete direct current components based on the difference between the current sample values of at least 3 consecutive original sample points and the plurality of second discrete alternating current components and the fault direct current component determination model;
Carrying out difference processing on the current sampling values of at least 3 continuous original sampling points and a plurality of second discrete direct current components to obtain a plurality of alternating current components with discrete direct current components removed;
and carrying out differential processing on a plurality of alternating current components with discrete direct current components removed, and then carrying out differential processing on the alternating current components to obtain a third alternating current component of the fault signal.
In some embodiments, the fault alternating current component determination model is:
；
the fault direct current component determination model is as follows:
；
wherein X is 1 、X 2 、X 3 、X 4 The model is determined for the fault alternating current component and the unknowns to be determined in the model are determined for the fault direct current component,is angular frequency, t is time constant.
In a fifth aspect, an embodiment of the present invention provides a protection measurement and control self-apparatus, including a memory, a processor, and a computer program stored in the memory and executable on the processor, the processor implementing the steps of the method as described above in the first aspect or the second aspect or any one of the possible implementations of the first aspect or any one of the possible implementations of the second aspect when the computer program is executed.
In a sixth aspect, embodiments of the present invention provide a computer readable storage medium storing a computer program which when executed by a processor implements the steps of the method as described above in the first aspect or the second aspect or any one of the possible implementations of the first aspect or any one of the possible implementations of the second aspect.
The embodiment of the invention provides a method for rapidly determining alternating current components in electric quantity and a protection measurement and control self-installation device, wherein firstly, fault signals in an electric power system are collected; then, sampling the fault signal to obtain at least 3 continuous original sampling points, and then, performing differential operation on the at least 3 continuous original sampling points to obtain at least two differential alternating current components after differential operation. And finally, inputting at least two first differential alternating current components into a fault alternating current component determination model to obtain alternating current components of the fault signal. According to the invention, by constructing the fault alternating current component determination model, and then only inputting at least two first differential alternating current components obtained by differentiating at least 3 sampling points into the fault alternating current component determination model, two unknown quantities of the model can be calculated, so that the alternating current components in the fault signal are calculated. Compared with the current alternating current component obtained by directly carrying out differential filtering on the fault current, the alternating current component has higher accuracy, and the influence of partial direct current component can be reduced.
Drawings
In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the drawings that are needed in the embodiments or the description of the prior art will be briefly described below, it being obvious that the drawings in the following description are only some embodiments of the present invention, and that other drawings may be obtained according to these drawings without inventive effort for a person skilled in the art.
FIG. 1 is a waveform diagram of a fault current provided by an embodiment of the present invention;
FIG. 2 is a waveform diagram of an AC component provided by an embodiment of the present invention;
FIG. 3 is a waveform diagram of an attenuated DC component provided by an embodiment of the present invention;
FIG. 4 is a graph of an attenuated DC differential waveform provided by an embodiment of the present invention;
FIG. 5 is a differential waveform diagram of fault current provided by an embodiment of the present invention;
FIG. 6 is a differential waveform diagram of an AC component provided by an embodiment of the present invention;
FIG. 7 is a graph showing a comparison of differential waveforms of fault current and AC component provided by an embodiment of the present invention;
FIG. 8 is a flowchart of a method for quickly determining an AC component in an electrical quantity according to an embodiment of the present invention;
FIG. 9 is a flowchart of another implementation of a method for quickly determining an AC component in an electrical quantity according to an embodiment of the present invention;
FIG. 10 is a waveform diagram of two DC components provided by an embodiment of the present invention;
FIG. 11 is a waveform diagram of two DC differential components provided by an embodiment of the present invention;
FIG. 12 is a waveform comparison of a plurality of differential graphs provided by an embodiment of the present invention;
FIG. 13 is a schematic structural diagram of an apparatus for rapidly determining an AC component in an electrical quantity according to an embodiment of the present invention;
FIG. 14 is a schematic view of another apparatus for rapidly determining an AC component in an electrical quantity according to an embodiment of the present invention;
FIG. 15 is a schematic diagram of a protection measurement and control self-installation device according to an embodiment of the present invention.
Detailed Description
In the following description, for purposes of explanation and not limitation, specific details are set forth such as the particular system architecture, techniques, etc., in order to provide a thorough understanding of the embodiments of the present invention. It will be apparent, however, to one skilled in the art that the present invention may be practiced in other embodiments that depart from these specific details. In other instances, detailed descriptions of well-known systems, devices, circuits, and methods are omitted so as not to obscure the description of the present invention with unnecessary detail.
For the purpose of making the objects, technical solutions and advantages of the present invention more apparent, the following description will be made by way of specific embodiments with reference to the accompanying drawings.
The current method for determining the ac component in the fault current generally includes that the ac component obtained by differential filtering processing is regarded as a pure ac component after the original sampling point array is subjected to differential filtering processing. However, some dc components remain in the ac component subjected to the differential processing by the differential filter, and errors are introduced in the subsequent ac calculation. For easier understanding, the following description will be made with reference to the drawings.
The waveform of the fault current is generally shown in fig. 1, and is composed of an alternating current component waveform 2 and a decaying direct current component waveform 3 which are overlapped. The attenuated dc component of fig. 3 is subjected to a differential process as shown in fig. 4. As shown in fig. 5 after the fault current is subjected to the differential processing, as can be seen from the above diagram, the residual dc component still exists after the fault current is differential. Fig. 6 is an ac component differential waveform diagram.
Fig. 7 shows that the fault current is compared with the sine wave differential waveform, and as can be seen from fig. 7, an error still exists after direct differential filtering of the fault current, and the error can reach 10% at maximum through comparison. Compared with the method for increasing the sampling frequency, the method for reducing the direct current component in the fault current has better economy.
Furthermore, the current method of determining the ac component is that the full cycle fourier transform requires 20 ms, or the half cycle fourier transform requires 10 ms, and the ac component cannot be determined quickly.
In order to solve the problems in the prior art, in a first aspect, the embodiment of the invention provides a method for rapidly determining an alternating current component in an electric quantity and a protection measurement and control self-installation device. The method for rapidly determining the alternating current component in the electric quantity provided by the embodiment of the invention is first described below.
Referring to fig. 8, a flowchart of an implementation of a method for quickly determining an ac component in an electrical quantity according to an embodiment of the present invention is shown, which is described in detail below:
step S110, a fault signal in the power system is collected.
Collecting fault signals in real time based on a set sampling interval Ts, wherein the collected fault signals are fault current I (t) as follows:
。
ipk is the current peak, I (0) is the initial value of the current when the fault occurs, τ is the fault loop time constant, ω is the system angular frequency, α is the initial phase angle, and φ is the phase shift of the fault signal.
And step S120, sampling the fault signal to obtain at least 3 continuous original sampling points.
After the fault is determined to be generated, the sampling circuit samples the directly acquired current value through the ADC, namely the current value which is not subjected to any processing is the original sampling point.
The current sampling value of each original sampling point comprises an alternating current component and a direct current component.
To reduce the number of acquisitions and increase the processing speed, only 3 original sampling points I0, I1 and I2 may be acquired. The original sampling point contains an alternating current component Iac0 and a direct current component Idc0, and the alternating current component Iac0 and the direct current component Idc0 are unknown.
I[0]=Iac0[0]+Idc0[0]；
I[1]=Iac0[1]+Idc0[1]；
I[2]=Iac0[2]+Idc0[2]。
And step S130, performing differential operation on at least 3 continuous original sampling points to obtain at least two differential alternating current components after differential operation.
The above 3 original sampling points are still illustrated as examples:
and (3) carrying out differential operation on 3 original sampling points I [0], I [1] and I [2] to filter out direct current components, thereby obtaining two first differential alternating current components.
Iac1[1]= I[1]-I[0]；
Iac1[2]= I[2]-I[1]；
As described above, the original queue is usually treated as a pure ac component after being subjected to differential filtering. However, some dc components remain in the data after the differential filtering process, which may introduce errors into the ac calculation at a later stage.
Step S140, inputting at least two first differential ac components into the fault ac current component determining model, to obtain ac components of the fault signal.
The fault alternating current component determination model is obtained by performing taylor expansion on alternating current components of fault currents.
A fault alternating current component determining model and a fault direct current component determining model are respectively established for an alternating current part and a direct current part in the fault current I (t) through Taylor series expansion.
The fault alternating current component determining model is as follows:
；
x in model 1 And X 2 An unknown quantity of the model is determined for the fault alternating current component,is angular frequency, t is time constant.
The fault direct current component determination model is as follows:
；
X in model 3 And X 4 An unknown quantity of the model is determined for the fault direct current component.
The meaning of the unknowns in the two models is as follows:
；
in ac fault analysis, the amplitude and phase of the ac component are mainly considered. However, in solving the ac component and improving the accuracy, the dc component needs to be obtained at the same time.
The invention can quickly determine the data by using 3 sampling points, compared with the conventional determination method which uses a full-cycle Fourier transform and requires 20 milliseconds or a half-cycle Fourier transform and requires 10 milliseconds.
Two unknowns X in a calculation fault alternating current component determination model 1 And X 2 At least two first differential ac components may be input into the fault ac current component determination model, t andto determine the value, two unknowns X can be determined first 1 And X 2 Is a value of (2). In determining X 1 And X 2 After that, the AC component of the fault currentThe determined value is obtained.
The invention provides a method for rapidly determining alternating current components in electric quantity and a protection measurement and control self-installation device, firstly, fault signals in an electric power system are collected; then, sampling the fault signal to obtain at least 3 continuous original sampling points, and then, performing differential operation on the at least 3 continuous original sampling points to obtain at least two differential alternating current components after differential operation. And finally, inputting at least two first differential alternating current components into a fault alternating current component determination model to obtain alternating current components of the fault signal. According to the invention, the alternating current component in the fault signal can be obtained only by inputting at least two first differential alternating current components obtained by differentiating at least 3 sampling points into the fault alternating current component determining model. Compared with the current alternating current component obtained by directly carrying out differential filtering on the fault current, the alternating current component has higher accuracy, and the influence of partial direct current component can be reduced.
In addition, compared with the method for rapidly determining the alternating current component in the electric quantity by adopting the method provided by the first aspect of the invention, the accuracy of the alternating current component obtained by directly carrying out differential filtering processing on the alternating current queue is improved to a certain extent. However, there is also a certain error between the ac component obtained by the method provided by the first invention and the actual ac component, and there is also a certain error between the result obtained by the model and the actual ac value by using the fault ac current component determination model obtained by retaining only the first two items after the taylor series expansion. Therefore, it is necessary to reduce the influence of the direct current component even further. The alternating current component and the direct current component are respectively modeled, separated and calculated, at least 3 original sampling points are adopted for solving, and the window breaking speed is high.
In a second aspect, an embodiment of the present invention provides another method for quickly determining an ac component in an electrical quantity, and the method for quickly determining an ac component in an electrical quantity provided in the embodiment of the present invention is described below.
Referring to fig. 9, a flowchart of an implementation of a method for quickly determining an ac component in an electrical quantity according to an embodiment of the present invention is shown, which is described in detail below:
Step S210, a fault signal in the power system is collected.
Collecting fault signals in real time based on a set sampling interval Ts, wherein the collected fault signals are fault current I (t) as follows:
。
ipk is the current peak, I (0) is the initial value of the current when the fault occurs, τ is the fault loop time constant, ω is the system angular frequency, α is the initial phase angle, and φ is the phase shift of the fault signal.
Step S220, sampling the fault signal to obtain at least 3 continuous original sampling points.
After the fault is determined to be generated, the sampling circuit samples the directly acquired current value through the ADC, namely the current value which is not subjected to any processing is the original sampling point.
The current sampling value of each original sampling point comprises an alternating current component and a direct current component.
To reduce the number of acquisitions and increase the processing speed, 3 original sampling points I0, I1 and I2 may be acquired. The original sampling point contains an alternating current component Iac0 and a direct current component Idc0, and the alternating current component Iac0 and the direct current component Idc0 are unknown.
I[0]=Iac0[0]+Idc0[0]；
I[1]=Iac0[1]+Idc0[1]；
I[2]=Iac0[2]+Idc0[2]。
And step S230, performing differential operation on at least 3 continuous original sampling points to obtain at least two differential alternating current components after differential operation.
The above 3 original sampling points are still illustrated as examples:
And (3) carrying out differential operation on 3 original sampling points I [0], I [1] and I [2] to filter out direct current components, thereby obtaining two first differential alternating current components.
Iac1[1]= I[1]-I[0]；
Iac1[2]= I[2]-I[1]；
As described above, the original queue is usually treated as a pure ac component after being subjected to differential filtering. However, some dc components remain in the data after the differential filtering process, which may introduce errors into the ac calculation at a later stage. Therefore, further removal of the dc component is also required.
Step S240, at least two first differential alternating current components are brought into a fault alternating current component determination model, and first alternating current components are obtained.
The fault alternating current component determination model is based on taylor expansion of the alternating current component of the fault current.
A fault alternating current component determining model and a fault direct current component determining model are respectively established for an alternating current part and a direct current part in the fault current I (t) through Taylor series expansion.
The fault alternating current component determining model is as follows:
；
x in model 1 And X 2 Are all of an unknown quantity, and the two quantities are all the same,is angular frequency, t is time constant.
The fault direct current component determination model is as follows:
；
x in model 3 And X 4 Are all unknowns.
The meaning of the unknowns in the two models is as follows:
。
And (3) bringing two points of Iac1[1] and Iac1[2] into a fault alternating current component determination model, and solving to obtain a first alternating current intermediate component Iac1.
Time t and time due to failure occurrenceTo determine the value, two unknowns X can be determined first 1 And X 2 Is a value of (2). In determining X 1 And X 2 Thereafter, a first ac intermediate component of the fault current +.>。
After the fault current is subjected to differential filtering, the fundamental current and the amplitude are changed by 2sin (pi/N), and the phase is advanced by the original fundamental current [ (pi/2) - (2/N) ]. Therefore, it is necessary to correct the amplitude and phase of the first ac intermediate component Iac1 obtained after the difference. And correcting the amplitude phase of the first alternating current intermediate component to obtain a corrected first alternating current component Iac1'.
Step S250, discretizing the first ac component into a plurality of first discrete ac components based on the sampling interval.
Wherein the number of the plurality of first discrete alternating current components is the same as the number of at least 3 consecutive original sampling points.
The first alternating current component Iac1 'is discretized according to the sampling interval to obtain Iac1' [0], iac1'[1], iac1' [2].
Since the direct currents contained in I0, I1 and I2 in the original sampling points are attenuated direct currents, the calculated Iac1' also contains a certain error after differential filtering processing. It is necessary to further remove the dc component thereof.
Step S260, determining a plurality of first discrete dc components based on the difference between the current sampling values of at least 3 consecutive original sampling points and the plurality of first discrete ac components, and the fault dc current component determining model.
In some embodiments, to determine the first discrete direct current component, the following steps may be employed:
step S2601 obtains at least 3 first dc components based on the differences between the current sampling values of the at least 3 consecutive original sampling points and the plurality of first discrete ac components.
Idc1[0]= I[0]-Iac1’[0]；
Idc1[1]= I[1]-Iac1’[1]；
Idc1[2]= I[2]-Iac1’[2]。
Step S2602, inputting at least 3 first dc components into the fault dc current component determining model to determine an unknown quantity in the fault dc current component determining model.
Will (Idc 1[0 ]]、Idc1[1])、(Idc1[1]、Idc1[2]) Respectively carrying out fault direct current component determination model to obtain two groups of values, respectively averaging to obtain X 3 、X 4 And solve to obtain。
Step S2603, determining at least 3 first discrete direct current components based on the fault direct current component determination model and the sampling interval.
According to the sampling interval and the formulaObtaining at least 3 first discrete direct current components Idc1' [0 ] of discretization]、Idc1’[1]、Idc1’[2]。
The error of the first alternating current components Iac1' and Iac0 is the same-frequency pure alternating current quantity. The co-frequency net ac quantity includes a first dc component Idc1. The first discrete direct current component Idc1' is made pure attenuated direct current component by using an exponential function in the discretization process in this step.
Step S270, a plurality of alternating current components with discrete direct current components removed are obtained after the difference processing is carried out on the current sampling values of at least 3 continuous original sampling points and the plurality of first discrete direct current components.
Iac2[0]= I[0]-Idc1’[0]；
Iac2[1]= I[1]-Idc1’[1]；
Iac2[2]= I[2]-Idc1’[2]；
Let I [0] =iac0 [0] +idc0[0];
I[1]=Iac0[1]+Idc0[1]；
i [2] =iac0 [2] +idc0[2] is taken into the above formula to obtain:
iac2=iac0+idc 0-Idc1', it can be seen that the error in iac2, which contains only one dc component, is (Idc 0-Idc 1'), which has been reduced from the original dc component Idc 0.
As shown in fig. 10 and 11, the two dc components Idc0 and (Idc 0-Idc 1') are seen to have significantly smaller errors.
Step S280, the result of the differential processing of the alternating current components with the discrete direct current components removed is carried into a fault alternating current component determining model, and a second alternating current component of the fault signal is obtained.
As can be seen from S270, the error of the dc component is significantly reduced from that of the original dc component, and thus the error ratio Iac1 after differentiating Iac2 again is also reduced.
The specific process is as follows:
step S2801, performing differential processing on the ac components from which the discrete dc components are removed, to obtain at least two differential ac components after differential processing.
I.e. Iac2[0], iac2[1] and Iac2[2] are subjected to differential processing to obtain at least two second differential AC components. The same method as in step S230 is not described here.
Step S2802, bringing at least two second differential ac components into the fault ac current component determination model, to obtain second ac components.
The process of bringing the second differential ac component into the fault ac current component determining model to obtain the second ac component is the same as step S240, and will not be described again here.
Step S2803, performing amplitude phase correction on the second ac component to obtain a second ac component of the fault signal.
The second ac component is Iac2'.
The process of correcting the amplitude phase is also explicitly described in step S240, and will not be described again here.
The pure ac quantity Iac0 in fig. 12 is differentiated to be a "sinusoidal differential" waveform, and the original waveform is differentiated to be Iac1 to be a "fault current differential" waveform; the DC component is subtracted and Iac2 is then differentiated into a "fault current minus DC component DC0 differential" waveform. It can be seen that the error of Iac2' is smaller.
In some embodiments, to further reduce the error of the dc component, the obtained correction processing of the amplitude phase of the second ac component may be continued, and then the processed second ac component may be discretized into a plurality of second discrete ac components based on the sampling interval. Then, a plurality of second discrete direct current components are determined based on the difference between the current sample values of at least 3 consecutive original sample points and the plurality of second discrete alternating current components, and the fault direct current component determination model. Then, the current sampling values of at least 3 continuous original sampling points and a plurality of second discrete direct current components are subjected to difference processing, and a plurality of alternating current components with discrete direct current components removed are obtained. And finally, carrying out differential processing on a plurality of alternating current components with discrete direct current components removed, and then carrying out differential processing on the alternating current components to obtain a third alternating current component of the fault signal.
According to the method for rapidly determining the alternating current component in the electric quantity, the alternating current component and the direct current component are respectively modeled, separated and calculated, at least 3 original sampling points are adopted for solving, and the window breaking speed is high.
The accuracy of the alternating current component can be improved by roughly calculating the direct current component and filtering the direct current component, and further by differential filtering. In addition, the accuracy of the alternating current component can be continuously improved through repeated iteration.
It should be understood that the sequence number of each step in the foregoing embodiment does not mean that the execution sequence of each process should be determined by the function and the internal logic, and should not limit the implementation process of the embodiment of the present invention.
Based on the method for quickly determining the alternating current component in the electric quantity provided by the embodiment, correspondingly, the invention also provides a specific implementation mode of the device for quickly determining the alternating current component in the electric quantity, which is applied to the method for quickly determining the alternating current component in the electric quantity. Please refer to the following examples.
In a third aspect, fig. 13 is a schematic structural diagram of an apparatus for quickly determining an ac component in an electrical quantity according to an embodiment of the present invention, and for convenience of explanation, only a portion related to the embodiment of the present invention is shown, which is described in detail below:
As shown in fig. 13, there is provided an apparatus 1300 for rapidly determining an ac component in an electrical quantity, the apparatus comprising:
an acquisition module 1310 for acquiring fault signals in the power system;
the sampling module 1320 is configured to sample the fault signal to obtain at least 3 continuous original sampling points, where a current sampling value of each original sampling point includes an ac component;
the difference module 1330 is configured to perform a difference operation on at least 3 consecutive original sampling points to obtain at least two first differential ac components after difference;
a determining module 1340, configured to input at least two first differential ac components into a fault ac current component determining model, to obtain first ac components of a fault signal; the fault alternating current component determination model is obtained by performing taylor expansion on alternating current components of fault currents.
In one possible implementation, the fault ac current component determination model is:
；
wherein X is 1 And X 2 Model unknowns are determined for the fault ac current components,is angular frequency, t is time constant.
In a fourth aspect, fig. 14 is a schematic structural diagram of another apparatus for quickly determining an ac component in an electrical quantity according to an embodiment of the present invention, and for convenience of explanation, only a portion related to the embodiment of the present invention is shown, which is described in detail below:
As shown in fig. 14, there is provided an apparatus 1400 for rapidly determining an alternating current component in an electric quantity, the apparatus comprising:
the collection module 1410 is configured to collect fault signals in the power system;
the sampling module 1420 is configured to sample the fault signal to obtain at least 3 continuous original sampling points, where a current sampling value of each original sampling point includes an ac component and a dc component;
the first difference module 1430 is configured to perform a difference operation on at least 3 consecutive original sampling points to obtain at least two first differential ac components after difference;
a first determining module 1440, configured to bring at least two first differential ac components into a fault ac current component determining model, to obtain first ac components; the fault alternating current component determining model is obtained by carrying out Taylor expansion on the alternating current component of the fault current;
a second determination module 1450 for discretizing the first alternating current component into a plurality of first discrete alternating current components based on the sampling interval; wherein the number of the plurality of first discrete alternating current components is the same as the number of at least 3 consecutive original sampling points;
a third determining module 1460, configured to determine a plurality of first discrete dc components based on differences between the current sample values of at least 3 consecutive original sample points and the plurality of first discrete ac components, and a fault dc current component determining model; the fault direct current component determination model is obtained by carrying out Taylor expansion on the direct current component of the fault current;
A fourth determining module 1470, configured to perform a difference processing on the current sampling values of at least 3 continuous original sampling points and the plurality of first discrete dc components to obtain a plurality of ac components from which the discrete dc components are removed;
the fifth determining module 1480 is configured to bring the results obtained by performing the differential processing on the ac components from which the discrete dc components are removed into the fault ac current component determining model to obtain the second ac component of the fault signal.
In some embodiments, the first determining module 1440 is configured to bring at least two first differential ac components into the fault ac current component determining model to obtain a first ac intermediate component;
and correcting the amplitude phase of the first alternating current intermediate component to obtain a corrected first alternating current component.
In some embodiments, the third determining module 1460 is configured to obtain at least 3 first dc components based on differences between the current sample values of at least 3 consecutive original sample points and the plurality of first discrete ac components;
inputting at least 3 first direct current components into a fault direct current component determination model to determine unknowns in the fault direct current component determination model;
at least 3 first discrete direct current components are determined based on the fault direct current component determination model and the sampling interval.
In some embodiments, the fifth determining module 1480 is configured to perform differential processing on the ac components from which the discrete dc components are removed to obtain at least two differential ac components after the differential processing;
bringing at least two second differential alternating current components into a fault alternating current component determination model to obtain second alternating current components;
and correcting the amplitude phase of the second alternating current component to obtain the second alternating current component of the fault signal.
In some embodiments, the fifth determining module 1480 is configured to, after performing the correction processing of the amplitude phase on the second ac component, discretize the processed second ac component into a plurality of second discrete ac components based on the sampling interval;
determining a plurality of second discrete direct current components based on the difference between the current sample values of at least 3 consecutive original sample points and the plurality of second discrete alternating current components and the fault direct current component determination model;
carrying out difference processing on the current sampling values of at least 3 continuous original sampling points and a plurality of second discrete direct current components to obtain a plurality of alternating current components with discrete direct current components removed;
and carrying out differential processing on a plurality of alternating current components with discrete direct current components removed, and then carrying out differential processing on the alternating current components to obtain a third alternating current component of the fault signal.
In some embodiments, the fault alternating current component determination model is:
；
the fault direct current component determination model is as follows:
；
wherein X is 1 、X 2 、X 3 、X 4 Determining a model for the fault ac current component and determining an unknown quantity of the model for the fault dc current component,is angular frequency, t is time constant.
Fig. 15 is a schematic diagram of a protection measurement and control safety self-device according to an embodiment of the present invention, where the protection measurement and control safety self-device is abbreviated as a protection measurement and control safety automatic device. As shown in fig. 15, the protection measure and control self-assembly device 15 of this embodiment includes: a processor 150, a memory 151 and a computer program 152 stored in the memory 151 and executable on the processor 150. The processor 150, when executing the computer program 152, implements the steps of the various embodiments of the method for rapidly determining an ac component of an electrical quantity described above, such as steps 110 through 140 shown in fig. 8, or steps 210 through 280 shown in fig. 9. Alternatively, the processor 150, when executing the computer program 152, performs the functions of the modules of the apparatus embodiments described above, such as the functions of the modules 1310 through 1340 shown in fig. 13 or the functions of the modules 1410 through 1480 shown in fig. 14.
Illustratively, the computer program 152 may be partitioned into one or more modules that are stored in the memory 151 and executed by the processor 150 to accomplish the present invention. The one or more modules may be a series of computer program instruction segments capable of performing a specific function describing the execution of the computer program 152 in the protection metering device 15. For example, the computer program 152 may be partitioned into the functions of the modules 1310 through 1340 shown in fig. 13 or the modules 1410 through 1480 shown in fig. 14.
The protection metering device 15 may include, but is not limited to, a processor 150, a memory 151. It will be appreciated by those skilled in the art that fig. 15 is merely an example of the protection measurement and control self-apparatus 15, and does not constitute a limitation of the protection measurement and control self-apparatus 15, and may include more or less components than those illustrated, or may combine certain components, or different components, for example, the protection measurement and control self-apparatus may further include an input/output device, a network access device, a bus, and the like.
The processor 150 may be a central processing unit (Central Processing Unit, CPU), but may also be other general purpose processors, digital signal processors (Digital Signal Processor, DSP), application specific integrated circuits (Application Specific Integrated Circuit, ASIC), field programmable gate arrays (Field-Programmable Gate Array, FPGA) or other programmable logic devices, discrete gate or transistor logic devices, discrete hardware components, or the like. A general purpose processor may be a microprocessor or the processor may be any conventional processor or the like.
The memory 151 may be an internal storage unit of the protection measurement and control self-device 15, for example, a hard disk or a memory of the protection measurement and control self-device 15. The memory 151 may also be an external storage device of the protection measure and control self-device 15, for example, a plug-in hard disk, a Smart Media Card (SMC), a Secure Digital (SD) Card, a Flash memory Card (Flash Card) or the like, which are provided on the protection measure and control self-device 15. Further, the memory 151 may further include both an internal storage unit and an external storage device of the protection measure and control self-apparatus 15. The memory 151 is used for storing the computer program and other programs and data required by the protection measure and control self-device. The memory 151 may also be used to temporarily store data that has been output or is to be output.
It will be apparent to those skilled in the art that, for convenience and brevity of description, only the above-described division of the functional units and modules is illustrated, and in practical application, the above-described functional distribution may be performed by different functional units and modules according to needs, i.e. the internal structure of the apparatus is divided into different functional units or modules to perform all or part of the above-described functions. The functional units and modules in the embodiment may be integrated in one processing unit, or each unit may exist alone physically, or two or more units may be integrated in one unit, where the integrated units may be implemented in a form of hardware or a form of a software functional unit. In addition, the specific names of the functional units and modules are only for distinguishing from each other, and are not used for limiting the protection scope of the present invention. The specific working process of the units and modules in the above system may refer to the corresponding process in the foregoing method embodiment, which is not described herein again.
In the foregoing embodiments, the descriptions of the embodiments are emphasized, and in part, not described or illustrated in any particular embodiment, reference is made to the related descriptions of other embodiments.
The above embodiments are only for illustrating the technical solution of the present invention, and not for limiting the same; although the 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 scheme described in the foregoing embodiments can be modified or some technical features thereof can be replaced by equivalents; such modifications and substitutions do not depart from the spirit and scope of the technical solutions of the embodiments of the present invention, and are intended to be included in the scope of the present invention.
Claims (8)
1. A method for rapidly determining an ac component of an electrical quantity, comprising:
collecting fault signals in a power system;
sampling the fault signal to obtain at least 3 continuous original sampling points, wherein a current sampling value of each original sampling point comprises an alternating current component and a direct current component;
performing differential operation on the at least 3 continuous original sampling points to obtain at least two differential alternating current components after differential operation;
bringing the at least two first differential alternating current components into a fault alternating current component determination model to obtain first alternating current components; the fault alternating current component determining model is obtained by carrying out Taylor expansion on alternating current components of fault currents;
Discretizing the first alternating current component into a plurality of first discrete alternating current components based on a sampling interval; wherein the number of the plurality of first discrete alternating current components is the same as the number of the at least 3 consecutive original sampling points;
determining a plurality of first discrete direct current components based on the difference between the current sample values of the at least 3 consecutive original sample points and the plurality of first discrete alternating current components and a fault direct current component determination model; the fault direct current component determination model is obtained by carrying out Taylor expansion on the direct current component of the fault current;
carrying out difference processing on the current sampling values of the at least 3 continuous original sampling points and the plurality of first discrete direct current components to obtain a plurality of alternating current components with discrete direct current components removed;
and carrying out differential processing on the alternating current components with the discrete direct current components removed into the fault alternating current component determining model to obtain a second alternating current component of the fault signal.
2. The method for rapidly determining an ac component in an electrical quantity according to claim 1, wherein said bringing said at least two first differential ac components into said fault ac current component determination model results in a first ac component comprising:
Bringing the at least two first differential alternating current components into the fault alternating current component determination model to obtain a first alternating current intermediate component;
and correcting the amplitude phase of the first alternating current intermediate component to obtain a corrected first alternating current component.
3. The method of rapidly determining an ac component in an electrical quantity according to claim 1, wherein said determining a plurality of first discrete dc components based on differences between current sample values of said at least 3 consecutive raw sample points and said plurality of first discrete ac components, and a fault dc current component determination model comprises:
obtaining at least 3 first direct current components based on the difference between the current sampling values of the at least 3 continuous original sampling points and the plurality of first discrete alternating current components;
inputting the at least 3 first direct current components into the fault direct current component determination model to determine unknowns in the fault direct current component determination model;
at least 3 first discrete direct current components are determined based on the fault direct current component determination model and the sampling interval.
4. The method for quickly determining an ac component in an electrical quantity according to claim 1, wherein said taking the result of said differential processing of said plurality of ac components from which discrete dc components are removed into said fault ac component determination model to obtain a second ac component of said fault signal comprises:
Performing differential processing on the alternating current components with the discrete direct current components removed to obtain at least two differential alternating current components after differential processing;
bringing the at least two second differential alternating current components into the fault alternating current component determination model to obtain second alternating current components;
and correcting the amplitude phase of the second alternating current component to obtain the second alternating current component of the fault signal.
5. The method for rapidly determining an ac component of an electrical quantity according to claim 1, wherein the determining method further comprises:
after the second alternating current component is subjected to amplitude phase correction processing, discretizing the processed second alternating current component into a plurality of second discrete alternating current components based on sampling intervals;
determining a plurality of second discrete direct current components based on the difference between the current sample values of the at least 3 consecutive original sample points and the plurality of second discrete alternating current components and a fault direct current component determination model;
carrying out difference processing on the current sampling values of the at least 3 continuous original sampling points and the plurality of second discrete direct current components to obtain a plurality of alternating current components with discrete direct current components removed;
And carrying out differential processing on the alternating current components with the discrete direct current components removed, and then carrying out differential processing on the alternating current components with the discrete direct current components removed into the fault alternating current component determining model to obtain a third alternating current component of the fault signal.
6. A method of rapidly determining an ac component in an electrical quantity according to any of claims 1 to 5, wherein the fault ac current component determination model is:
；
the fault direct current component determination model is as follows:
；
wherein X is 1 、X 2 、X 3 、X 4 The model is determined for the fault alternating current component and the unknowns to be determined in the model are determined for the fault direct current component,is angular frequency, t is time constant.
7. A protection metering and self-device comprising a memory for storing a computer program and a processor for calling and running the computer program stored in the memory for performing the method of any one of claims 1 to 6.
8. A computer readable storage medium storing a computer program, characterized in that the computer program when executed by a processor implements the steps of the method according to any one of claims 1 to 6.
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