CN113985116A - Full-phase FFT time-shifting phase difference correction method for leakage current of zinc oxide lightning arrester - Google Patents
Full-phase FFT time-shifting phase difference correction method for leakage current of zinc oxide lightning arrester Download PDFInfo
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Abstract
The invention provides a full-phase FFT time-shifting phase difference correction method for leakage current of a zinc oxide arrester, and belongs to the technical field of measurement of the leakage current of the zinc oxide arrester. The method comprises the following steps: carrying out continuous sampling operation on the leakage current of the zinc oxide arrester at a preset sampling frequency; dividing a sampling signal of a successive sampling operation into a first sequence and a second sequence; respectively executing double-window full-phase FFT analysis operation of a Hanning window on the first sequence and the second sequence; calculating a difference in phase of a two-window full-phase FFT analysis operation of the first sequence and the second sequence; calculating the corrected leakage current frequency according to formula (1); calculating the corrected leakage current amplitude according to a formula (2); taking the phase of the double-window full-phase FFT analysis operation of the Hanning window of the first sequence or the second sequence as the phase of the corrected leakage current; and outputting the corrected leakage current according to the corrected leakage current frequency, the corrected leakage current amplitude and the corrected leakage current phase.
Description
Technical Field
The invention relates to the technical field of measurement of leakage current of a zinc oxide arrester, in particular to a full-phase FFT time-shifting phase difference correction method of the leakage current of the zinc oxide arrester.
Background
The problem of reduced protection performance of a Zinc Oxide Arrester (ZOA) serving as a power grid protection device during long-term operation due to equipment aging, internal moisture and the like is mainly shown as remarkable changes of a resistive fundamental component and a resistive harmonic component of leakage current, so that the ZOA leakage current fundamental wave and each subharmonic parameter can be extracted by using a harmonic analysis algorithm, a resistive component is obtained by combining a power grid voltage phase, and the operation condition of the equipment in a power grid is judged according to the change trend of the resistive component. Therefore, the detection key of the ZOA leakage current is the extraction precision of fundamental wave, each harmonic amplitude and phase parameters in harmonic analysis.
In recent years, researchers at home and abroad mainly use Fast Fourier Transform (FFT) as a main harmonic analysis means, and further improve the parameter extraction precision by using data windowing and a correction algorithm. However, the conventional FFT method inevitably generates spectral leakage after the time domain truncates the time sample sequence to a finite length through a rectangular window. Further, in the process of discretizing the frequency domain samples, if the calculated spectral peak point cannot coincide with the actual spectral peak point, a barrier effect occurs.
Disclosure of Invention
The embodiment of the invention aims to provide a full-phase FFT time-shifting phase difference correction method for leakage current of a zinc oxide arrester, which can accurately correct the leakage current.
In order to achieve the above object, an embodiment of the present invention provides a full-phase FFT time-shift phase difference correction method for leakage current of a zinc oxide lightning arrester, including:
carrying out continuous sampling operation on the leakage current of the zinc oxide arrester at a preset sampling frequency;
dividing a sampling signal of a successive sampling operation into a first sequence and a second sequence;
performing a double-window full-phase FFT analysis operation of adding a Hanning window on the first sequence and the second sequence respectively;
calculating a difference in phase of a two-window full-phase FFT analysis operation of the first and second sequences;
the corrected leakage current frequency is calculated according to equation (1),
wherein, ω is*For said corrected leakage current frequency, k*Is a pair of
f is the rounded value of 50,100,150,200,250,300,350 in the direction of minus infinity,
a difference in phase of a two-window full-phase FFT analysis operation for the first sequence and the second sequence;
calculating the corrected leakage current amplitude according to the formula (2),
wherein A is*For said corrected leakage current amplitude, Y1Adding a result of a two-window full-phase FFT analysis operation of a Hanning window to the first sequence;
taking the phase of the double-window full-phase FFT analysis operation of the Hanning window of the first sequence or the second sequence as the phase of the corrected leakage current;
and outputting the corrected leakage current according to the corrected leakage current frequency, the corrected leakage current amplitude and the corrected leakage current phase.
Optionally, the sampling frequency is 1600 Hz.
Optionally, the dimension of the two-window full-phase FFT analysis operation is 128.
Optionally, the continuous sampling operation comprises:
3 x 128-1 points of the leakage current were sampled consecutively.
Optionally, the dividing the sampled signal of the consecutive sampling operation into the first sequence and the second sequence comprises:
the first 2 x 128-1 points of the sampled signal are divided into a first sequence and the 129 to 3 x 128-1 points of the sampled signal are divided into a second sequence.
In another aspect, the present invention also provides a full-phase FFT time-shift phase difference correction system for leakage current of a zinc oxide arrester, the system comprising a processor configured to:
carrying out continuous sampling operation on the leakage current of the zinc oxide arrester at a preset sampling frequency;
dividing a sampling signal of a successive sampling operation into a first sequence and a second sequence;
performing a double-window full-phase FFT analysis operation of adding a Hanning window on the first sequence and the second sequence respectively;
calculating a difference in phase of a two-window full-phase FFT analysis operation of the first and second sequences;
the corrected leakage current frequency is calculated according to equation (1),
wherein, ω is*For said corrected leakage current frequency, k*Is a pair of
f is the rounded value of 50,100,150,200,250,300,350 in the direction of minus infinity,
a difference in phase of a two-window full-phase FFT analysis operation for the first sequence and the second sequence;
calculating the corrected leakage current amplitude according to the formula (2),
wherein A is*For said corrected leakage current amplitude, Y1Adding a result of a two-window full-phase FFT analysis operation of a Hanning window to the first sequence;
taking the phase of the double-window full-phase FFT analysis operation of the Hanning window of the first sequence or the second sequence as the phase of the corrected leakage current;
and outputting the corrected leakage current according to the corrected leakage current frequency, the corrected leakage current amplitude and the corrected leakage current phase.
Optionally, the sampling frequency is 1600Hz, and the dimension of the dual-window full-phase FFT analysis operation is 128.
Optionally, the continuous sampling operation comprises:
3 x 128-1 points of the leakage current were sampled consecutively.
Optionally, the dividing the sampled signal of the consecutive sampling operation into the first sequence and the second sequence comprises:
the first 2 x 128-1 points of the sampled signal are divided into a first sequence and the 129 to 3 x 128-1 points of the sampled signal are divided into a second sequence.
In yet another aspect, the invention also provides a computer-readable storage medium having stored thereon instructions for reading by a machine to cause the machine to perform a method as in any one of the above,
according to the technical scheme, the method, the system and the computer readable storage medium for correcting the full-phase FFT time-shifting phase difference of the leakage current of the zinc oxide arrester provided by the invention have the advantages that the collected leakage current is cut off, the double-window full-phase FFT analysis operation of the Hanning window is respectively carried out on the cut-off current signal, and finally, the frequency and the amplitude are corrected by combining the phase obtained by the double-window full-phase FFT analysis operation of the Hanning window. Compared with the prior art, the method provided by the invention reduces the influence of the window spectrum function and the barrier effect on the corresponding phase analysis, and realizes the accurate estimation of small signal parameters.
Additional features and advantages of embodiments of the invention will be set forth in the detailed description which follows.
Drawings
The accompanying drawings, which are included to provide a further understanding of the embodiments of the invention and are incorporated in and constitute a part of this specification, illustrate embodiments of the invention and together with the description serve to explain the embodiments of the invention without limiting the embodiments of the invention. In the drawings:
fig. 1 is a flowchart of a full-phase FFT time-shift phase difference correction method of a leakage current of a zinc oxide arrester according to an embodiment of the present invention;
FIG. 2 is a flow diagram of a preprocessing of a two-window full-phase FFT analysis operation with a Hanning window according to an embodiment of the present invention;
fig. 3 is a flow diagram illustrating a dual-window full-phase FFT analysis operation according to an embodiment of the present invention.
Detailed Description
The following detailed description of embodiments of the invention refers to the accompanying drawings. It should be understood that the detailed description and specific examples, while indicating embodiments of the invention, are given by way of illustration and explanation only, not limitation.
In the embodiments of the present invention, unless otherwise specified, the use of directional terms such as "upper, lower, top, and bottom" is generally used with respect to the orientation shown in the drawings or the positional relationship of the components with respect to each other in the vertical, or gravitational direction.
In addition, if there is a description of "first", "second", etc. in the embodiments of the present invention, the description of "first", "second", etc. is for descriptive purposes only and is not to be construed as indicating or implying relative importance or implicitly indicating the number of technical features indicated. Thus, a feature defined as "first" or "second" may explicitly or implicitly include at least one such feature. In addition, technical solutions between the various embodiments can be combined with each other, but must be realized by a person skilled in the art, and when the technical solutions are contradictory or cannot be realized, the combination of the technical solutions should be considered to be absent and not be within the protection scope of the present invention.
Fig. 1 is a flow chart illustrating a full-phase FFT time-shift phase difference correction method for leakage current of a zinc oxide arrester according to an embodiment of the present invention. In this fig. 1, the method may include:
in step S10, performing a continuous sampling operation on the leakage current of the zinc oxide arrester at a preset sampling frequency;
in step S11, the sampling signal of the successive sampling operation is divided into a first sequence and a second sequence;
in step S12, performing a two-window full-phase FFT analysis operation of adding a hanning window to the first sequence and the second sequence, respectively;
in step S13, calculating a difference in phase of the two-window full-phase FFT analysis operation of the hanning window of the first sequence and the second sequence;
in step S14, the corrected leakage current frequency is calculated according to the formula (1),
1600/128 is the frequency resolution, where, conventionally, ω is*For corrected leakage current frequency, k*Is a pair of
f is the rounded value of 50,100,150,200,250,300,350 in the direction of minus infinity,
a difference in phase of the two-window full-phase FFT analysis operations for the first sequence and the second sequence;
in step S15, the corrected leakage current amplitude is calculated according to the formula (2),
wherein A is*For the corrected leakage current amplitude, Y1Amplitude of a double-window full-phase FFT analysis operation for a Hanning window;
in step S16, the phase of the first sequence/the second sequence is selected as the phase of the corrected leakage current;
in step S17, the corrected leakage current is output based on the corrected leakage current frequency, the corrected leakage current amplitude, and the corrected leakage current phase.
In the method shown in fig. 1, step S10 may be used to obtain a sampling signal of the leakage current. As for the specific value of the preset sampling frequency, there may be a plurality known to those skilled in the art. In this embodiment, the sampling frequency may be 1600 Hz. Step S11 may be used to divide the sampled signal into two sequences, so that the modification of the entire sampled signal is accomplished through analytical calculation of the two sequences.
In the method provided by the invention, because the analysis and calculation method adopts a double-window full-phase FFT analysis operation of a Hanning window, in order to avoid the situation that the whole-cycle ambiguity occurs in the subsequent calculation, a delay is required to be set between the time sequences of two sequences during the division. As to the specific value of the delay, it needs to be determined according to the dimension of the two-window full-phase FFT analysis operation of the plus hanning window. In an example of the present invention, the dimension of the hanning windowed dual-window full-phase FFT analysis operation may be 4, and the delay may also be 4, the flow chart of the preprocessing of the hanning windowed dual-window full-phase FFT analysis operation may be as shown in fig. 2, and the flow chart of the dual-window full-phase FFT analysis operation may be as shown in fig. 3. In a preferred example of the present invention, taking the dimension of the two-window full-phase FFT analysis operation of the plus hanning window as an example as 128, the delay needs to be set to 128. Specifically, the step S11 may be to divide the first 2 × 128-1 points of the sampled signal into a first sequence, and use the 129 th to 3 × 128-1 points of the sampled signal as a second sequence. In order to successfully perform the two-window full-phase FFT analysis operation of the hanning window, the continuous sampling operation of step S10 needs to continuously sample 3 × 128-1 points of the leakage current.
The division of the sampled signal by step S11 has lower spectral leakage when performing a hanning windowed two-window full-phase FFT analysis operation compared to the conventional FFT method. Also, the error due to the leakage current is mainly due to the frequency error. In the execution of the hanning-windowed two-window full-phase FFT analysis operation in step S12, since phase errors due to frequency errors cancel each other out (phase invariant property), the obtained phase of the first sequence and the phase of the second sequence are accurate in the result of the hanning-windowed two-window full-phase FFT analysis operation (phase, amplitude, and frequency of the first sequence and the second sequence). Also therefore, the frequency and amplitude can be corrected for the resulting phase.
Based on the accurate phases of the first sequence and the second sequence obtained in step S12, step S13 and step S14 may be further configured to correct the leakage current frequency for the obtained phase, and step S15 is configured to correct the leakage current amplitude for the obtained phase, because the phase obtained by the hanning window two-window full-phase FFT analysis operation is accurate, step S16 may directly use the phase of the first sequence or the phase of the second sequence to correct the leakage current phase, and finally complete the correction of the frequency, amplitude and phase of the leakage current, so as to evaluate the operating condition of the zinc oxide arrester based on the corrected frequency, amplitude and phase.
In another aspect, the present invention also provides a full-phase FFT time-shift phase difference correction system for leakage current of a zinc oxide arrester, which may include a processor, which may be configured to perform the method as illustrated in fig. 1. Specifically, in this fig. 1, the method may include:
in step S10, performing a continuous sampling operation on the leakage current of the zinc oxide arrester at a preset sampling frequency;
in step S11, the sampling signal of the successive sampling operation is divided into a first sequence and a second sequence;
in step S12, performing a two-window full-phase FFT analysis operation of adding a hanning window to the first sequence and the second sequence, respectively;
in step S13, calculating a difference in phase of the two-window full-phase FFT analysis operation of the hanning window of the first sequence and the second sequence;
in step S14, the corrected leakage current frequency is calculated according to the formula (1),
1600/128 is the frequency resolution, where, conventionally, ω is*For corrected leakage current frequency, k*Is a pair of
f is the rounded value of 50,100,150,200,250,300,350 in the direction of minus infinity,
a difference in phase of the two-window full-phase FFT analysis operations for the first sequence and the second sequence;
in step S15, the corrected leakage current amplitude is calculated according to the formula (2),
wherein A is*For the corrected leakage current amplitude, Y1Amplitude of a double-window full-phase FFT analysis operation for a Hanning window;
in step S16, the phase of the first sequence/the second sequence is selected as the phase of the corrected leakage current;
in step S17, the corrected leakage current is output based on the corrected leakage current frequency, the corrected leakage current amplitude, and the corrected leakage current phase.
In the method shown in fig. 1, step S10 may be used to obtain a sampling signal of the leakage current. As for the specific value of the preset sampling frequency, there may be a plurality known to those skilled in the art. In this embodiment, the sampling frequency may be 1600 Hz. Step S11 may be used to divide the sampled signal into two sequences, so that the modification of the entire sampled signal is accomplished through analytical calculation of the two sequences.
In the method provided by the invention, because the analysis and calculation method adopts a double-window full-phase FFT analysis operation of a Hanning window, in order to avoid the situation that the whole-cycle ambiguity occurs in the subsequent calculation, a delay is required to be set between the time sequences of two sequences during the division. As to the specific value of the delay, it needs to be determined according to the dimension of the two-window full-phase FFT analysis operation of the plus hanning window. Taking the dimension of the two-window full-phase FFT analysis operation of the plus hanning window as an example to be 128, the delay needs to be set to 128. Specifically, the step S11 may be to divide the first 2 × 128-1 points of the sampled signal into a first sequence, and use the 129 th to 3 × 128-1 points of the sampled signal as a second sequence. In order to successfully perform the two-window full-phase FFT analysis operation of the hanning window, the continuous sampling operation of step S10 needs to continuously sample 3 × 128-1 points of the leakage current.
The division of the sampled signal by step S11 has lower spectral leakage when performing a hanning windowed two-window full-phase FFT analysis operation compared to the conventional FFT method. Also, the error due to the leakage current is mainly due to the frequency error. In the execution of the hanning-windowed two-window full-phase FFT analysis operation in step S12, since phase errors due to frequency errors cancel each other out (phase invariant property), the obtained phase of the first sequence and the phase of the second sequence are accurate in the result of the hanning-windowed two-window full-phase FFT analysis operation (phase, amplitude, and frequency of the first sequence and the second sequence). Also therefore, the frequency and amplitude can be corrected for the resulting phase.
Based on the accurate phases of the first sequence and the second sequence obtained in step S12, step S13 and step S14 may be further configured to correct the leakage current frequency for the obtained phase, and step S15 is configured to correct the leakage current amplitude for the obtained phase, because the phase obtained by the hanning window two-window full-phase FFT analysis operation is accurate, step S16 may directly use the phase of the first sequence or the phase of the second sequence to correct the leakage current phase, and finally complete the correction of the frequency, amplitude and phase of the leakage current, so as to evaluate the operating condition of the zinc oxide arrester based on the corrected frequency, amplitude and phase.
In yet another aspect, the invention also provides a computer-readable storage medium that may store instructions that are readable by a machine to cause the machine to perform any of the methods described above.
According to the technical scheme, the method, the system and the computer readable storage medium for correcting the full-phase FFT time-shifting phase difference of the leakage current of the zinc oxide arrester provided by the invention have the advantages that the collected leakage current is cut off, the double-window full-phase FFT analysis operation of the Hanning window is respectively carried out on the cut-off current signal, and finally, the frequency and the amplitude are corrected by combining the phase obtained by the double-window full-phase FFT analysis operation of the Hanning window. Compared with the prior art, the method provided by the invention reduces the influence of the window spectrum function and the barrier effect on the corresponding phase analysis, and realizes the accurate estimation of small signal parameters.
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.
In a typical configuration, a computing device includes one or more processors (CPUs), input/output interfaces, network interfaces, and memory.
The memory may include forms of volatile memory in a computer readable medium, Random Access Memory (RAM) and/or non-volatile memory, such as Read Only Memory (ROM) or flash memory (flash RAM). The memory is an example of a computer-readable medium.
Computer-readable media, including both non-transitory and non-transitory, removable and non-removable media, may implement information storage by any method or technology. The information may be computer readable instructions, data structures, modules of a program, or other data. Examples of computer storage media include, but are not limited to, phase change memory (PRAM), Static Random Access Memory (SRAM), Dynamic Random Access Memory (DRAM), other types of Random Access Memory (RAM), Read Only Memory (ROM), Electrically Erasable Programmable Read Only Memory (EEPROM), flash memory or other memory technology, compact disc read only memory (CD-ROM), Digital Versatile Discs (DVD) or other optical storage, magnetic cassettes, magnetic tape magnetic disk storage or other magnetic storage devices, or any other non-transmission medium that can be used to store information that can be accessed by a computing device. As defined herein, a computer readable medium does not include a transitory computer readable medium such as a modulated data signal and a carrier wave.
It should also be noted that the terms "comprises," "comprising," or any other variation thereof, are intended to cover a non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements does not include only those elements but may include other elements not expressly listed or inherent to such process, method, article, or apparatus. Without further limitation, an element defined by the phrase "comprising an … …" does not exclude the presence of other identical elements in the process, method, article, or apparatus that comprises the element.
The above are merely examples of the present application and are not intended to limit the present application. Various modifications and changes may occur to those skilled in the art. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present application should be included in the scope of the claims of the present application.
Claims (10)
1. A full-phase FFT time-shift phase difference correction method for leakage current of a zinc oxide arrester is characterized by comprising the following steps:
carrying out continuous sampling operation on the leakage current of the zinc oxide arrester at a preset sampling frequency;
dividing a sampling signal of a successive sampling operation into a first sequence and a second sequence;
performing a double-window full-phase FFT analysis operation of adding a Hanning window on the first sequence and the second sequence respectively;
calculating a difference in phase of a two-window full-phase FFT analysis operation of the first and second sequences;
the corrected leakage current frequency is calculated according to equation (1),
wherein, ω is*For said corrected leakage current frequency, k*Is a pair of
Rounded values in the negative infinity direction,
a difference in phase of a two-window full-phase FFT analysis operation for the first sequence and the second sequence;
calculating the corrected leakage current amplitude according to the formula (2),
wherein A is*For said corrected leakage current amplitude, Y1Adding a result of a two-window full-phase FFT analysis operation of a Hanning window to the first sequence;
taking the phase of the double-window full-phase FFT analysis operation of the Hanning window of the first sequence or the second sequence as the phase of the corrected leakage current;
and outputting the corrected leakage current according to the corrected leakage current frequency, the corrected leakage current amplitude and the corrected leakage current phase.
2. The full-phase FFT time-shift phase-difference correction method according to claim 1, wherein the sampling frequency is 1600 Hz.
3. The full-phase FFT time-shift phase difference correction method as claimed in claim 1, wherein the dimension of the two-window full-phase FFT analysis operation with Hanning window is 128.
4. The full-phase FFT time-shift phase difference correction method according to claim 1, wherein the successive sampling operations comprise:
3 x 128-1 points of the leakage current were sampled consecutively.
5. The full-phase FFT time-shift phase difference correction method according to claim 4, wherein the dividing of the sampling signal of the consecutive sampling operation into the first sequence and the second sequence comprises:
the first 2 x 128-1 points of the sampled signal are divided into a first sequence and the 129 to 3 x 128-1 points of the sampled signal are divided into a second sequence.
6. A full-phase FFT time-shift phase difference correction system for zinc oxide arrester leakage current, characterized in that the full-phase FFT time-shift phase difference correction system comprises a processor configured to:
carrying out continuous sampling operation on the leakage current of the zinc oxide arrester at a preset sampling frequency;
dividing a sampling signal of a successive sampling operation into a first sequence and a second sequence;
performing a double-window full-phase FFT analysis operation of adding a Hanning window on the first sequence and the second sequence respectively;
calculating a difference in phase of a two-window full-phase FFT analysis operation of the first and second sequences;
the corrected leakage current frequency is calculated according to equation (1),
wherein, ω is*For said corrected leakage current frequency, k*Is a pair of
Rounded values in the negative infinity direction,
a difference in phase of a two-window full-phase FFT analysis operation for the first sequence and the second sequence;
calculating the corrected leakage current amplitude according to the formula (2),
wherein A is*For said corrected leakage current amplitude, Y1Adding a result of a two-window full-phase FFT analysis operation of a Hanning window to the first sequence;
taking the phase of the double-window full-phase FFT analysis operation of the Hanning window of the first sequence or the second sequence as the phase of the corrected leakage current;
and outputting the corrected leakage current according to the corrected leakage current frequency, the corrected leakage current amplitude and the corrected leakage current phase.
7. The full-phase FFT time-shift phase-difference correction system according to claim 1, wherein the sampling frequency is 1600Hz and the dimension of the dual-window full-phase FFT analysis operation is 128.
8. The full-phase FFT time-shift phase-difference correction system according to claim 1, wherein the successive sampling operations comprise:
3 x 128-1 points of the leakage current were sampled consecutively.
9. The full-phase FFT time-shift phase-difference correction system according to claim 8, wherein the dividing the sampled signal of the successive sampling operation into the first sequence and the second sequence comprises:
the first 2 x 128-1 points of the sampled signal are divided into a first sequence and the 129 to 3 x 128-1 points of the sampled signal are divided into a second sequence.
10. A computer readable storage medium storing instructions for reading by a machine to cause the machine to perform a full-phase FFT time-shift phase difference correction method as claimed in any one of claims 1 to 5.
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| CN114828370A (en) * | 2022-03-18 | 2022-07-29 | 合肥工业大学 | Self-adaptive phase difference calculation method for plasma density measurement |
| CN115296724A (en) * | 2022-09-30 | 2022-11-04 | 中科百惟(云南)科技有限公司 | RDSS-based Beidou communication unmanned area online monitoring system |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN114828370A (en) * | 2022-03-18 | 2022-07-29 | 合肥工业大学 | Self-adaptive phase difference calculation method for plasma density measurement |
| CN114828370B (en) * | 2022-03-18 | 2024-04-19 | 合肥工业大学 | Self-adaptive phase difference calculation method for plasma density measurement |
| CN115296724A (en) * | 2022-09-30 | 2022-11-04 | 中科百惟(云南)科技有限公司 | RDSS-based Beidou communication unmanned area online monitoring system |
| CN115296724B (en) * | 2022-09-30 | 2023-01-06 | 中科百惟(云南)科技有限公司 | RDSS-based Beidou communication unmanned area online monitoring system |
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