CN114910787A - Method for converting time domain frequency dynamic curve of power grid into alternating current voltage waveform - Google Patents
Method for converting time domain frequency dynamic curve of power grid into alternating current voltage waveform Download PDFInfo
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Abstract
The invention relates to a method for converting a time domain frequency dynamic curve of a power grid into an alternating current voltage waveform, and belongs to the technical field of conversion of the time domain frequency dynamic curve of the power grid into an alternating current voltage signal. The invention provides the anti-corresponding relation among three basic characteristics of frequency, voltage and amplitude of an alternating voltage waveform and the waveform, according to the actual condition that the numerical value of each sampling point of a time domain voltage waveform completely depends on the amplitude, the frequency and an initial phase of the alternating voltage at the moment, under the condition that the frequency sampling value of each point is known, the conversion from a time domain frequency dynamic process curve of a power grid to a voltage waveform curve of the power grid is realized by artificially setting the voltage amplitude and the phase of each time point and utilizing a constructed alternating signal function expression, so that the problem of the conversion from the frequency curve to the alternating voltage waveform caused by the fact that the time domain frequency dynamic curve of the power grid cannot be input into a frequency modulation function module in the frequency modulation test process of a generator set is solved.
Description
Technical Field
The invention belongs to the technical field of conversion from a power grid frequency dynamic curve to an alternating current voltage signal, and particularly relates to the technical field of alternating current voltage conversion faced by the fact that the power grid dynamic frequency curve cannot be directly input into a generator set frequency modulation function module in the process of testing the primary frequency modulation function of a conventional synchronous generator and a new energy generator set, in particular to a method for converting a power grid time domain frequency dynamic curve to an alternating current voltage waveform.
Background
The frequency is an important parameter of a power supply quality index of a power grid to a power consumer, in order to meet the requirements of safe and stable operation of the power grid and improve the frequency power supply quality of the power grid, the power grids at home and abroad at present all require a grid-connected power plant to have certain primary frequency modulation capability, and require the acceptance of the function through a field test mode, such as GB/T30370-2013 'guide rule for primary frequency modulation test and performance acceptance of thermal generator sets', GB/T9652.1-2019 'technical conditions for water turbine speed regulating systems', DL/T1245-, the site is also executed substantially in accordance with the regulations.
In combination with "two rules" issued by the regional regulatory office of the national energy agency in recent years, such as "southern regional power plant grid-connected operation management implementation rule" and "southern rest grid-connected power plant auxiliary service management implementation rule" issued by the southern regulatory agency of the national energy agency in 2017, the correct action rate of the primary frequency modulation function of the unit is required to be assessed according to an actual frequency dynamic process within a specified time period range according to a related assessment management method in the dynamic process of the power grid frequency. However, according to the test and acceptance standard of the primary frequency modulation function, the action correctness of the primary frequency modulation function cannot be completely verified by the frequency step test method recommended by the standard, and a test method which can completely simulate the dynamic process of the time domain frequency of the power grid so as to judge the correctness of the frequency modulation function in a specified time period is urgently needed to be developed.
However, as the frequency is an index parameter of the alternating voltage, the conventional method is to read the frequency value from the alternating voltage waveform, and the conversion from the frequency to the voltage in the opposite direction is not reported; meanwhile, because the frequency curve recorded by the wave recording device of the power grid substation or the power plant is a time domain frequency curve instead of the actual voltage waveform, under the condition, in order to meet the requirement of completely simulating the dynamic process of the time domain frequency of the power grid in the field primary frequency modulation test process, a conversion method from frequency to alternating voltage is urgently needed to be developed so as to realize the conversion from the existing dynamic curve of the time domain frequency of the power grid to the alternating voltage in the existing fault wave recording device.
Disclosure of Invention
The invention aims to solve the defects of the prior art and provides a method for converting a time domain frequency dynamic curve of a power grid into an alternating current voltage waveform.
In order to achieve the purpose, the technical scheme adopted by the invention is as follows:
a method for converting a time domain frequency dynamic curve of a power grid into an alternating current voltage waveform utilizes a frequency sampling numerical value of each sampling point in the time domain frequency dynamic curve of the power grid, arbitrarily sets a voltage amplitude and a phase of each time point by human, utilizes an inverse correspondence relation between three basic characteristics of the frequency, the voltage and the amplitude of the alternating current voltage waveform and the waveform, and realizes the conversion from the time domain frequency dynamic curve of the power grid to the voltage waveform curve of the power grid according to the fact that the numerical value of each sampling point of the time domain voltage waveform completely depends on the amplitude, the frequency and the initial phase of the alternating current voltage at the moment.
Further, it is preferable that the specific method is as follows:
according to the voltage waveform expression of the power system:
in the formula (1), U rms The method comprises the following steps of (1) representing an effective value of an analog alternating voltage waveform, wherein pi is a circumferential rate, f is the frequency of the analog voltage waveform, psi is an initial phase angle of the analog voltage waveform, and u is a real-time value of the analog alternating voltage waveform; t is a sampling time point;
discretizing the formula (1) according to sampling time points, namely: setting the frequency, the voltage amplitude and the initial phase angle of the corresponding alternating current voltage according to each sampling time point, and calculating according to the formula (2) as follows:
in the formula (2), u i For simulating AC voltage at sampling time t i Voltage value at time, U rms_i For simulating AC voltage at sampling time t i Effective value of voltage at time f i For simulating AC voltage at sampling time t i Frequency of time of day, # i For simulating AC voltage at sampling time t i An initial phase angle of a moment;
assuming that a power grid time domain frequency dynamic curve needs to be simulated, namely: simulating the frequency of the analog AC voltage waveform according to the time domain dynamic curve of the power grid frequency, wherein the amplitude U of the analog AC voltage waveform rms_i And an initial phase angle psi i The U is directly connected without influencing the finally output analog AC voltage waveform rms_i And an initial phase angle psi i Directly set to a constant value;
each sampling time point t of the known power grid frequency time domain dynamic curve i Corresponding grid frequency f i Corresponding the time t to each sampling time point i And f i Directly substituting into the formula (2), and directly obtaining the voltage value of the analog alternating voltage corresponding to each sampling time point; when the voltage value corresponding to each sampling time point on the whole power grid frequency time domain dynamic curve is calculated according to the formula, the complete conversion from the power grid frequency dynamic curve to the voltage waveform is realized.
Further, it is preferable that U is rms_i Set to 57.734.
Further, it is preferable that the initial phase angle ψ i Is set to 0.
Further, it is preferable that each sampling time point t of the grid frequency time domain dynamic curve is known i Corresponding grid frequency f i Corresponding the time t to each sampling time point i And f i Directly substituting into the formula (3), and directly obtaining the voltage value of the analog alternating voltage corresponding to each sampling time point; when the voltage value corresponding to each sampling time point on the whole power grid frequency time domain dynamic curve is calculated according to the formula, the complete conversion from the power grid frequency dynamic curve to the voltage waveform is realized;
u i ＝81.648cos(2πf i t i ) (3)。
a system for converting a time domain frequency dynamic curve of a power grid to an alternating voltage waveform, comprising:
the sampling module is used for sampling a time domain frequency dynamic curve of the power grid;
the conversion module is used for carrying out discretization processing on the sampled data according to the sampling time points and carrying out conversion on the analog alternating-current voltage; the sampling point time t in the formula (3) when each sampling point is converted i And grid frequency dynamic sampling value f i Respectively substituting the formula (3) into a point-by-point calculation mode to calculate the analog alternating voltage value of each sampling point;
u i ＝81.648cos(2πf i t i ) (3)；
and the display module is used for displaying the converted alternating voltage waveform.
Further, it is preferable that the sampling frequency is 0.005 s/time.
Compared with the prior art, the invention has the following beneficial effects:
the method of the invention aims at the problem that in the primary frequency modulation function test process of the conventional generator set, the step change type frequency checking method can not truly simulate the frequency dynamic process of the power grid, but the time domain frequency dynamic curve collected by the fault recorder matched with the existing power plant and transformer substation can not be directly input into the frequency modulation function module of the generator set to check the actual condition of the action accuracy, the anti-corresponding relation between the three basic characteristics of the frequency, the voltage and the amplitude of the alternating voltage waveform and the waveform is provided, according to the actual condition that the numerical value of each sampling point of the time domain voltage waveform completely depends on the amplitude, the frequency and the initial phase of the alternating voltage at the moment, under the condition that the frequency sampling value of each point is known, the conversion from the time domain frequency dynamic process curve of the power grid to the voltage waveform curve of the power grid is realized by artificially setting the voltage amplitude and the phase of each time point and utilizing the constructed alternating signal function expression, the problem of conversion from a frequency curve to an alternating current voltage waveform caused by the fact that a power grid time domain frequency dynamic curve cannot be input into a frequency modulation functional module in the frequency modulation test process of the generator set is solved.
Drawings
FIG. 1 is a dynamic frequency curve after a fault in a power grid 2019, 11 months and 20 days; wherein, the abscissa: time, in seconds; ordinate: frequency, in hertz;
FIG. 2 is an overall simulated voltage waveform after transformation of a dynamic frequency curve of a power grid; wherein, the abscissa: time, in seconds; ordinate: voltage, in volts;
FIG. 3 is an enlarged view of a portion of the simulated AC voltage of FIG. 2 after global transformation; wherein, the abscissa: time, in seconds; ordinate: voltage, unit volts;
FIG. 4 is a graph of simulated AC voltage frequency measurements taken over a selected time range (0-0.12 seconds) from FIG. 3; wherein, the abscissa: time, in seconds; the ordinate is: frequency, in hertz;
FIG. 5 is a comparison graph of the time domain dynamic frequency of the target power grid and the converted frequency measurement result of the analog alternating voltage frequency; wherein, the abscissa: time, in seconds; ordinate: frequency, in hertz;
fig. 6 is a schematic structural diagram of a system for converting a time-domain frequency dynamic curve of a power grid into an alternating-current voltage waveform.
Detailed Description
The present invention will be described in further detail with reference to examples.
It will be appreciated by those skilled in the art that the following examples are illustrative of the invention only and should not be taken as limiting the scope of the invention. The examples do not specify particular techniques or conditions, and are performed according to the techniques or conditions described in the literature in the art or according to the product specifications. The materials or equipment used are not indicated by manufacturers, and all are conventional products available by purchase.
A method for converting a time domain frequency dynamic curve of a power grid into an alternating current voltage waveform utilizes the frequency sampling numerical value of each sampling point in the time domain frequency dynamic curve of the power grid, arbitrarily sets the voltage amplitude and phase of each time point by human, utilizes the inverse correspondence relationship between the three basic characteristics of the frequency, the voltage and the amplitude of the alternating current voltage waveform and the waveform, and realizes the conversion from the time domain frequency dynamic curve of the power grid to the voltage waveform curve of the power grid according to the fact that the numerical value of each sampling point of the time domain voltage waveform completely depends on the amplitude, the frequency and the initial phase of the alternating current voltage at the moment; the specific method comprises the following steps:
according to the voltage waveform expression of the power system:
in the formula (1), U rms The method comprises the following steps of (1) representing an effective value of an analog alternating voltage waveform, wherein pi is a circumferential rate, f is the frequency of the analog voltage waveform, psi is an initial phase angle of the analog voltage waveform, and u is a real-time value of the analog alternating voltage waveform; t is a sampling time point;
discretizing the formula (1) according to sampling time points, namely: setting the frequency, the voltage amplitude and the initial phase angle of the corresponding alternating current voltage according to each sampling time point, and calculating according to the formula (2) as follows:
in the formula (2), u i For simulating AC voltage at sampling time t i Voltage value at time, U rms_i For simulating AC voltage at sampling time t i Effective value of voltage at time f i For simulating AC voltage at sampling time t i Frequency of time of day, # i For simulating AC voltage at sampling time t i An initial phase angle of a moment;
assuming that a power grid time domain frequency dynamic curve needs to be simulated, namely: simulating the frequency of the analog AC voltage waveform according to the time domain dynamic curve of the power grid frequency, wherein the amplitude U of the analog AC voltage waveform rms_i And an initial phase angle psi i The U is directly connected without influencing the finally output analog AC voltage waveform rms_i Set to 57.734, initial phase angle psi i Set directly to 0, at which time equation (2) evolves to:
u i ＝81.648cos(2πf i t i ) (3)
each sampling time point t of the known power grid frequency time domain dynamic curve i Corresponding grid frequency f i Corresponding the time t to each sampling time point i And f i Direct substitution into formula(3) The voltage value of the analog alternating voltage corresponding to each sampling time point can be directly obtained; when the voltage value corresponding to each sampling time point on the whole power grid frequency time domain dynamic curve is calculated according to the formula, the complete conversion from the power grid frequency dynamic curve to the voltage waveform is realized.
Fig. 6 shows a system for converting a time domain frequency dynamic curve of a power grid into an ac voltage waveform, which includes:
the sampling module 101 is used for sampling a time domain frequency dynamic curve of a power grid;
the conversion module 102 is used for performing discretization processing on the sampled data according to the sampling time points and performing conversion of the analog alternating-current voltage; the sampling point time t in the formula (3) when each sampling point is converted i And grid frequency dynamic sampling value f i Respectively substituting the formula (3) into a point-by-point calculation mode, and calculating to obtain the analog alternating voltage value of each sampling point;
u i ＝81.648cos(2πf i t i ) (3)；
and the display module 103 is used for displaying the converted alternating voltage waveform.
Preferably, the sampling frequency is 0.005 s/time.
The time range of the grid frequency time domain dynamic curve is usually 200 seconds, and the sampling rate of the grid frequency time domain dynamic curve is usually 200 points per second, which can be obtained by calculation: the sampling point data of a group of complete power grid frequency time domain dynamic curves reach 40000 points to 60000 points (lines), in order to save space, the invention provides 2 application examples, and the first application example explains the using method of the invention by using fewer sampling points; the second application example takes a full-network frequency time domain dynamic curve after a power grid fault occurs in 11 months and 20 days of a provincial power grid 2019 as an example, and illustrates the overall effect of converting the power grid time domain dynamic frequency curve into the analog output voltage according to the invention.
Application example 1:
the existing power grid dynamic frequency curve data are shown in table 1, the time length of the power grid time domain frequency dynamic curve is 0.1 second, the number of sampling points is 20, and the frequency of each sampling point is shown in table 1:
TABLE 1
| Sequence of sampling points | Sampling time (seconds) | Grid frequency dynamic sampling value (Hz) |
| 0 | 0 | 49.967 |
| 1 | 0.005 | 49.968 |
| 2 | 0.01 | 49.968 |
| 3 | 0.015 | 49.968 |
| 4 | 0.02 | 49.968 |
| 5 | 0.025 | 49.968 |
| 6 | 0.03 | 49.968 |
| 7 | 0.035 | 49.968 |
| 8 | 0.04 | 49.968 |
| 9 | 0.045 | 49.962 |
| 10 | 0.05 | 49.962 |
| 11 | 0.055 | 49.962 |
| 12 | 0.06 | 49.962 |
| 13 | 0.065 | 49.963 |
| 14 | 0.07 | 49.963 |
| 15 | 0.075 | 49.963 |
| 16 | 0.08 | 49.963 |
| 17 | 0.085 | 49.963 |
| 18 | 0.09 | 49.967 |
| 19 | 0.095 | 49.967 |
| 20 | 0.1 | 49.967 |
When the actual generator set frequency modulation function module is tested, the conversion from a power grid frequency time domain dynamic curve to a simulated alternating voltage is carried out, namely:
u i ＝81.648cos(2πf i t i ) (4)
when each sampling point is converted, the sampling point time t in the formula i And grid frequency dynamic sampling value f i Respectively substituting the values into a formula (4) according to a point-by-point calculation mode to calculate and obtain the simulated alternating current of each sampling point
The voltage values, the calculation results are shown in table 2:
TABLE 2 calculation results of analog AC voltage output values corresponding to each sampling point of dynamic time domain frequency curve of power grid
Through the conversion, the point-by-point conversion from the power grid time domain frequency dynamic curve to the analog alternating voltage is realized.
Case 2:
when a severe grid fault occurs in a provincial power grid in 11/20/2019, the method is adopted to convert an actual dynamic frequency curve (shown in figure 1) of the power grid into a simulated alternating current voltage waveform according to a dynamic frequency time domain curve of the power grid recorded on site, wherein figure 2 corresponds to a full-time waveform of the actual dynamic frequency curve of the power grid, and figure 3 is a partially amplified voltage waveform of figure 2; then, according to the selected timing period of fig. 3, the corresponding local analog voltage frequency measurement is carried out, and the frequency measurement result is shown in fig. 4; fig. 5 is a graph showing the comparative analysis of the frequency measurement result of the frequency measurement of the voltage curve after the time-domain curve of the dynamic frequency of the power grid recorded on site and the curve are converted into voltage, and it can be seen from the comparative analysis of the two graphs, the method provided by the invention can completely realize the conversion from the time-domain frequency dynamic curve of the power grid to the alternating voltage, and the frequency of the converted simulated alternating voltage waveform is completely consistent with the time-domain frequency dynamic curve of the original power grid, and can be directly used as the voltage signal input in the frequency modulation test process of the on-site generator. The foregoing shows and describes the general principles, essential features, and advantages of the invention. It will be understood by those skilled in the art that the present invention is not limited to the embodiments described above, which are described in the specification and illustrated only to illustrate the principle of the present invention, but that various changes and modifications may be made therein without departing from the spirit and scope of the present invention, which fall within the scope of the invention as claimed. The scope of the invention is defined by the appended claims and equivalents thereof.
Claims (7)
1. A method for converting a time domain frequency dynamic curve of a power grid into an alternating current voltage waveform is characterized in that a frequency sampling numerical value of each sampling point in the time domain frequency dynamic curve of the power grid is utilized, the voltage amplitude and the phase of each time point are set arbitrarily by people, the inverse correspondence relation among the three basic characteristics of the frequency, the voltage and the amplitude of the alternating current voltage waveform and the waveform is utilized, and the conversion from the time domain frequency dynamic curve of the power grid to the voltage waveform curve of the power grid is realized according to the fact that the numerical value of each sampling point of the time domain voltage waveform completely depends on the amplitude, the frequency and the initial phase of the alternating current voltage at the moment.
2. The method for converting a time domain frequency dynamic curve of a power grid into an alternating voltage waveform according to claim 1, wherein the specific method is as follows:
according to the voltage waveform expression of the power system:
in the formula (1), U rms The method comprises the following steps of (1) representing an effective value of an analog alternating voltage waveform, wherein pi is a circumferential rate, f is the frequency of the analog voltage waveform, psi is an initial phase angle of the analog voltage waveform, and u is a real-time value of the analog alternating voltage waveform; t is a sampling time point;
discretizing the formula (1) according to sampling time points, namely: setting the frequency, the voltage amplitude and the initial phase angle of the corresponding alternating current voltage according to each sampling time point, and calculating according to the formula (2) as follows:
in the formula (2), u i For simulating AC voltage at sampling time t i Voltage value at time, U rms_i For simulating AC voltage at sampling time t i Effective value of voltage at time f i For simulating AC voltage at sampling time t i Frequency of time of day, # i For simulating AC voltage at sampling time t i An initial phase angle of a moment;
assuming that a power grid time domain frequency dynamic curve needs to be simulated, namely: will simulate an alternating currentThe frequency of the voltage waveform is simulated according to a time domain dynamic curve of the power grid frequency, and the amplitude U of the waveform of the simulated alternating voltage at the moment rms_i And an initial phase angle psi i The U is directly connected without influencing the finally output analog AC voltage waveform rms_i And an initial phase angle psi i Directly set to a constant value;
each sampling time point t of the known power grid frequency time domain dynamic curve i Corresponding grid frequency f i Corresponding the time t to each sampling time point i And f i Directly substituting into the formula (2), and directly obtaining the voltage value of the analog alternating voltage corresponding to each sampling time point; when the voltage value corresponding to each sampling time point on the whole power grid frequency time domain dynamic curve is calculated according to the formula, the complete conversion from the power grid frequency dynamic curve to the voltage waveform is realized.
3. The method according to claim 2, wherein the U is a number of units rms_i Set to 57.734.
4. The method according to claim 2, wherein the initial phase angle ψ is i Is set to 0.
5. The method according to claim 2, wherein the grid frequency time domain dynamic curve is known for each sampling time point t i Corresponding grid frequency f i Corresponding the time t to each sampling time point i And f i Directly substituting into the formula (3), and directly obtaining the voltage value of the analog alternating voltage corresponding to each sampling time point; when the voltage value corresponding to each sampling time point on the whole power grid frequency time domain dynamic curve is calculated according to the formula, the complete conversion from the power grid frequency dynamic curve to the voltage waveform is realized;
u i ＝81.648cos(2πf i t i ) (3)。
6. a system for converting a time domain frequency dynamic curve of a power grid into an alternating current voltage waveform is characterized by comprising:
the sampling module is used for sampling a time domain frequency dynamic curve of the power grid;
the conversion module is used for carrying out discretization processing on the sampled data according to the sampling time points and carrying out conversion on the analog alternating-current voltage; the sampling point time t in the formula (3) when each sampling point is converted i And grid frequency dynamic sampling value f i Respectively substituting the formula (3) into a point-by-point calculation mode, and calculating to obtain the analog alternating voltage value of each sampling point;
u i ＝81.648cos(2πf i t i ) (3)；
and the display module is used for displaying the converted alternating voltage waveform.
7. The system for converting a grid time-domain frequency dynamic curve to an alternating voltage waveform of claim 6, wherein the sampling frequency is 0.005 s/time.
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN116482471A (en) * | 2023-06-21 | 2023-07-25 | 四川中电启明星信息技术有限公司 | Household transformer relation identification method based on voltage space-time aggregation curve |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN116482471A (en) * | 2023-06-21 | 2023-07-25 | 四川中电启明星信息技术有限公司 | Household transformer relation identification method based on voltage space-time aggregation curve |
| CN116482471B (en) * | 2023-06-21 | 2023-09-08 | 四川中电启明星信息技术有限公司 | Household transformer relation identification method based on voltage space-time aggregation curve |
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