CN112051444B - Anti-harmonic frequency calibration method and device based on parabolic interpolation iteration - Google Patents
Anti-harmonic frequency calibration method and device based on parabolic interpolation iteration Download PDFInfo
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Abstract
The invention discloses an anti-harmonic frequency calibration method and device based on parabolic interpolation iteration, wherein the method comprises the following steps: acquiring sampling data of 3/2 cycle according to the lower limit of frequency measurement; according to the current frequency measurement result, parabolic interpolation is carried out on the sampling data, and phasor frequency measurement is carried out by using the interpolated data; judging whether the difference value of two successive phasor frequency measurements is smaller than a preset frequency value or not; if the difference value of two continuous phasor frequency measurements is greater than or equal to a preset frequency value, parabolic interpolation is carried out on the sampled data again; and if the difference value of two continuous phasor frequency measurements is smaller than the preset frequency value, outputting the frequency value of the latest phasor frequency measurement. On the basis of phasor frequency measurement, new window data are obtained by adopting parabolic interpolation, the iterative frequency measurement is continuously close to the real system frequency, the harmonic resistance of the frequency measurement is enhanced on the basis of not changing the sampling frequency, and higher frequency measurement precision is achieved.
Description
Technical Field
The invention relates to the technical field of power system relay protection, in particular to an anti-harmonic frequency calibration method and device based on parabolic interpolation iteration.
Background
The power equipment is designed and manufactured according to a rated frequency, when the system frequency deviates from the rated frequency, the performance of the power equipment is affected, and in addition, the stability of the frequency is also an important index for the stability of the power system, so the accurate detection of the frequency becomes an important content for monitoring the power system. However, with the direct current power transmission and the access of new energy, the harmonic content in the power grid is more and more, and the accurate measurement of the system frequency is seriously influenced.
The existing frequency calibration method comprises the following steps: zero-crossing frequency measurement, fourier frequency measurement and phasor frequency measurement. Zero-crossing frequency measurement is greatly influenced by a direct-current component, and the frequency measurement precision is not high; the Fourier frequency measurement needs longer intercepted data, and the phase position needs to be calculated; the phasor frequency measurement does not need to directly calculate the phase, and the measurement precision is higher, but the harmonic resistance is poorer.
Disclosure of Invention
The embodiment of the invention aims to provide an anti-harmonic frequency calibration method based on parabolic interpolation iteration, which is characterized in that on the basis of phasor frequency measurement, new window data are obtained by adopting parabolic interpolation, and the iterative frequency measurement is continuously close to the real system frequency, so that on the basis of not changing the sampling frequency, the anti-harmonic capability of the frequency measurement is enhanced, and higher frequency measurement precision is achieved.
In order to solve the above technical problem, a first aspect of an embodiment of the present invention provides an anti-harmonic frequency calibration method based on a parabolic interpolation iteration, including the following steps:
acquiring sampling data of 3/2 cycle according to the lower limit of frequency measurement;
according to the current frequency measurement result, parabolic interpolation is carried out on the sampling data, and phasor frequency measurement is carried out by using the interpolated data;
judging whether the difference value of two continuous phasor frequency measurements is smaller than a preset frequency value or not;
if the difference value of the two continuous phasor frequency measurements is greater than or equal to the preset frequency value, performing the parabolic interpolation on the sampling data again;
and if the difference value of the two continuous phasor frequency measurements is smaller than the preset frequency value, outputting the frequency value of the latest phasor frequency measurement.
Further, the calculation method of the parabolic interpolation is as follows:
where t is the sampling time at the new frequency, t k Sample the current time, t, for the old frequency k-1 Forward by one time, t, for the old frequency samples k-2 And advancing the sampling of the old frequency by two moments, wherein L (t) is an interpolation point sampling value.
Further, the phasor frequency measurement calculation method comprises the following steps:
wherein, T s For interpolated sample interval time, k is equal to
(N is the number of sampling points in one week after interpolation),
is the imaginary part of the line voltage at the present time,
is the real part of the line voltage at the present moment,
is the imaginary part of the line voltage of 1/4 cycle,
is the real part of the line voltage of 1/4 cycle,
is the imaginary part of the line voltage at 1/2 cycle,
is the real part of the line voltage of 1/2 cycle wave front.
Further, after the performing the parabolic interpolation on the sampling data again, the method further includes:
obtaining iteration times;
if the iteration times are larger than or equal to a preset value, stopping iteration;
and if the iteration times are smaller than the preset value, continuing to perform parabolic interpolation on the sampling data.
Further, the preset value ranges from 2 times to 3 times.
Accordingly, a second aspect of the embodiments of the present invention provides an anti-harmonic frequency measurement apparatus based on parabolic interpolation iteration, including:
the first detection module is used for acquiring sampling data of 3/2 cycle according to the lower limit of frequency measurement;
the computing module is used for carrying out parabolic interpolation on the sampling data according to the current frequency measurement result and carrying out phasor frequency measurement by using the interpolated data;
the first judgment module is used for judging whether the difference value of two successive phasor frequency measurements is smaller than a preset frequency value or not;
the control module is used for carrying out the parabolic interpolation on the sampling data again when the difference value of the two continuous phasor measurement frequencies is greater than or equal to the preset frequency value;
the control module is further used for outputting the frequency value of the last phasor frequency measurement when the difference value of the two continuous phasor frequency measurements is smaller than the preset frequency value.
Further, the calculation method for calculating the parabolic interpolation by the calculation module is as follows:
wherein t is the sampling time at the new frequency, t k Sample the current time, t, for the old frequency k-1 Forward by one time, t, for the old frequency samples k-2 And advancing the sampling of the old frequency by two moments, wherein L (t) is an interpolation point sampling value.
Further, the calculation method for calculating the phasor frequency measurement by the calculation module comprises the following steps:
wherein, T s For the interpolated sample interval time, k is equal to
(N is the number of sampling points in one week after interpolation),
as the imaginary part of the line voltage at the present moment,
the real part of the line voltage at the present moment,
is the imaginary part of the line voltage at 1/4 cycle,
is the real part of the line voltage of 1/4 cycle,
is the imaginary part of the line voltage of 1/2 cycle wave front,
is the real part of the line voltage of 1/2 cycle wave front.
Further, the anti-harmonic frequency measurement device based on the parabolic interpolation iteration further comprises:
a second detection module for obtaining the number of iterations;
the second judgment module is used for judging whether the iteration times are larger than or equal to the preset value or not;
when the iteration times are larger than or equal to a preset value, the control module stops iteration;
and when the iteration times are smaller than the preset value, the control module continues to perform parabolic interpolation on the sampling data.
Further, the preset value ranges from 2 times to 3 times.
The technical scheme of the embodiment of the invention has the following beneficial technical effects:
on the basis of phasor frequency measurement, new window data are obtained by adopting parabolic interpolation, and the iterative frequency measurement is continuously close to the real system frequency, so that on the basis of not changing the sampling frequency, the harmonic wave resistance of the frequency measurement is enhanced, and higher frequency measurement precision is achieved.
Drawings
FIG. 1 is a flowchart of an anti-harmonic frequency calibration method based on iteration of parabolic interpolation according to an embodiment of the present invention;
FIG. 2 is a logic diagram of an anti-harmonic frequency calibration method based on iteration of parabolic interpolation according to an embodiment of the present invention;
fig. 3 is a block diagram of an anti-harmonic frequency measurement apparatus based on parabolic interpolation iteration according to an embodiment of the present invention.
Reference numerals are as follows:
1. the device comprises a first detection module, a second detection module, a first judgment module, a second judgment module, a first calculation module, a second judgment module, a control module, a second detection module, a second judgment module and a third judgment module.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is further described in detail with reference to the accompanying drawings in combination with the embodiments. It should be understood that the description is intended to be exemplary only, and is not intended to limit the scope of the present invention. Moreover, in the following description, descriptions of well-known structures and techniques are omitted so as to not unnecessarily obscure the concepts of the present invention.
Fig. 1 is a flowchart of an anti-harmonic frequency calibration method based on parabolic interpolation iteration according to an embodiment of the present invention.
Fig. 2 is a logic diagram of an anti-harmonic frequency calibration method based on iteration of parabolic interpolation according to an embodiment of the present invention.
Referring to fig. 1 and fig. 2, a first aspect of an embodiment of the present invention provides an anti-harmonic frequency calibration method based on parabolic interpolation iteration, including the following steps:
and S100, acquiring sampling data of 3/2 cycle according to the lower limit of frequency measurement.
And S200, performing parabolic interpolation on the sampling data according to the current frequency measurement result, and performing phasor frequency measurement by using the interpolated data.
When the system is initialized, the current frequency measurement result is 50Hz, and parabolic interpolation is carried out on the 3/2 cycle sampling data to obtain synchronous sampling data approximate to real frequency.
S300, judging whether the difference value of two continuous phasor frequency measurements is smaller than a preset frequency value.
And S400, if the difference value of two continuous phasor frequency measurements is greater than or equal to a preset frequency value, performing parabolic interpolation on the sampled data again.
And S500, if the difference value of two continuous phasor frequency measurements is smaller than a preset frequency value, outputting the frequency value of the latest phasor frequency measurement.
Specifically, in step S200, the method for calculating the parabolic interpolation includes:
wherein t is the sampling time at the new frequency, t k Sampling the current time, t, for the old frequency k-1 Forward by one time, t, for the old frequency samples k-2 And advancing the sampling of the old frequency by two moments, wherein L (t) is an interpolation point sampling value.
Specifically, in step S200, the phasor frequency measurement calculation method includes:
wherein, T s For the interpolated sample interval time, k is equal to
(N is the number of sampling points in one week after interpolation),
as the imaginary part of the line voltage at the present moment,
the real part of the line voltage at the present moment,
is the imaginary part of the line voltage of 1/4 cycle,
is the real part of the line voltage of 1/4 cycle,
is the imaginary part of the line voltage at 1/2 cycle,
is the real part of the line voltage of 1/2 cycle。
Optionally, in step S200, after performing parabolic interpolation on the sampling data again, the method further includes:
and S210, acquiring iteration times.
And S220, if the iteration times are larger than or equal to a preset value, stopping iteration.
And S230, if the iteration times are smaller than a preset value, continuing to perform parabolic interpolation on the sampling data again.
Further, the preset value ranges from 2 times to 3 times.
Fig. 3 is a block diagram of an anti-harmonic frequency measurement apparatus based on iteration of parabolic interpolation according to an embodiment of the present invention.
Accordingly, referring to fig. 3, a second aspect of the embodiments of the present invention provides an anti-harmonic frequency measurement apparatus based on parabolic interpolation iteration, including: the device comprises a first detection module 1, a calculation module 2, a first judgment module 3 and a control module 4. The first detection module 1 is used for acquiring sampling data of 3/2 cycle according to a lower frequency measurement limit; the calculation module 2 is used for carrying out parabolic interpolation on the sampling data according to the current frequency measurement result and carrying out phasor frequency measurement by using the interpolated data; the first judging module 3 is used for judging whether the difference value of two successive phasor frequency measurements is smaller than a preset frequency value; the control module 4 is used for carrying out parabolic interpolation on the sampling data again when the difference value of two continuous phasor frequency measurements is greater than or equal to a preset frequency value; the control module 4 is further configured to output the frequency value of the last phasor measurement frequency when the difference between two consecutive phasor measurement frequencies is smaller than a preset frequency value.
Specifically, the calculation method for calculating the parabolic interpolation by the calculation module comprises the following steps:
where t is the sampling time at the new frequency, t k Sampling the current time, t, for the old frequency k-1 Forward by one time, t, for the old frequency samples k-2 And advancing the sampling of the old frequency by two moments, wherein L (t) is an interpolation point sampling value.
Specifically, the calculation method for calculating the phasor frequency measurement by the calculation module comprises the following steps:
wherein, T s For interpolated sample interval time, k is equal to
(N is the number of sampling points in one week after interpolation),
as the imaginary part of the line voltage at the present moment,
is the real part of the line voltage at the present moment,
is the imaginary part of the line voltage of 1/4 cycle,
is the real part of the line voltage of 1/4 cycle,
is the imaginary part of the line voltage of 1/2 cycle wave front,
is the real part of the line voltage of 1/2 cycle wave front.
Optionally, the harmonic-resistant frequency measurement device based on the iteration of the parabolic interpolation further includes: a second detection module 5 and a second determination module 6. The second detection module 5 is configured to obtain an iteration number; the second judging module 6 is used for judging whether the iteration times are larger than or equal to a preset value or not; when the iteration times are greater than or equal to a preset value, the control module 4 stops the iteration; when the iteration times are smaller than the preset value, the control module 4 continues to perform parabolic interpolation on the sampled data.
Further, the predetermined value ranges from 2 times to 3 times.
The embodiment of the invention aims to protect an anti-harmonic frequency calibration method and device based on parabolic interpolation iteration, wherein the method comprises the following steps: acquiring sampling data of 3/2 cycle according to the lower limit of frequency measurement; according to the current frequency measurement result, parabolic interpolation is carried out on the sampling data, and phasor frequency measurement is carried out by using the interpolated data; judging whether the difference value of two successive phasor frequency measurements is smaller than a preset frequency value or not; if the difference value of two continuous phasor frequency measurements is greater than or equal to the preset frequency value, parabolic interpolation is carried out on the sampled data again; and if the difference value of two continuous phasor frequency measurements is smaller than the preset frequency value, outputting the frequency value of the latest phasor frequency measurement. The technical scheme has the following effects:
on the basis of phasor frequency measurement, new window data are obtained by adopting parabolic interpolation, the iterative frequency measurement is continuously close to the real system frequency, the harmonic resistance of the frequency measurement is enhanced on the basis of not changing the sampling frequency, and higher frequency measurement precision is achieved.
It is to be understood that the above-described embodiments of the present invention are merely illustrative of or explaining the principles of the invention and are not to be construed as limiting the invention. Therefore, any modifications, equivalents, improvements and the like which are made without departing from the spirit and scope of the present invention shall be included in the protection scope of the present invention. Further, it is intended that the appended claims cover all such variations and modifications as fall within the scope and boundary of the appended claims, or the equivalents of such scope and boundary.
Claims (10)
1. An anti-harmonic frequency calibration method based on parabola interpolation iteration is characterized by comprising the following steps:
acquiring sampling data of 3/2 cycle according to the lower limit of frequency measurement;
according to the current frequency measurement result, parabolic interpolation is carried out on the sampling data, and phasor frequency measurement is carried out by using the interpolated data;
judging whether the difference value of two successive phasor frequency measurements is smaller than a preset frequency value or not;
if the difference value of the two continuous phasor frequency measurements is greater than or equal to the preset frequency value, performing the parabolic interpolation on the sampling data again;
and if the difference value of the two continuous phasor frequency measurements is smaller than the preset frequency value, outputting the frequency value of the latest phasor frequency measurement.
2. The method for anti-harmonic frequency calibration based on parabolic interpolation iteration according to claim 1, characterized in that the calculation method of the parabolic interpolation is:
where t is the sampling time at the new frequency, t k Sample the current time, t, for the old frequency k-1 Forward by one time, t, for the old frequency samples k-2 And advancing the sampling of the old frequency by two moments, wherein L (t) is an interpolation point sampling value.
3. The method for anti-harmonic frequency calibration based on parabolic interpolation iteration according to claim 1, wherein the computation method of phasor frequency measurement is as follows:
wherein, T s For interpolated sample interval time, k is equal to
(N is the number of sampling points in one week after interpolation),
as the imaginary part of the line voltage at the present moment,
is the real part of the line voltage at the present moment,
is the imaginary part of the line voltage of 1/4 cycle,
is the real part of the line voltage of 1/4 cycle,
is the imaginary part of the line voltage of 1/2 cycle wave front,
is the real part of the line voltage of 1/2 cycle wave front.
4. The method of claim 1, wherein after said re-performing said parabolic interpolation on said sampled data, further comprises:
obtaining iteration times;
if the iteration times are larger than or equal to a preset value, stopping the iteration;
and if the iteration times are smaller than the preset value, continuing to perform parabolic interpolation on the sampling data.
5. The method of claim 4, wherein the harmonic-resistant frequency calibration is based on iteration of parabolic interpolation,
the range of the preset numerical value is 2 times to 3 times.
6. An anti-harmonic frequency measurement device based on parabola interpolation iteration is characterized by comprising:
the first detection module is used for acquiring sampling data of 3/2 cycle according to the lower limit of frequency measurement;
the computing module is used for carrying out parabolic interpolation on the sampling data according to the current frequency measurement result and carrying out phasor frequency measurement by using the interpolated data;
the first judgment module is used for judging whether the difference value of two successive phasor frequency measurements is smaller than a preset frequency value or not;
the control module is used for carrying out the parabolic interpolation on the sampling data again when the difference value of the two continuous phasor frequency measurements is larger than or equal to the preset frequency value;
the control module is further used for outputting the frequency value of the last phasor frequency measurement when the difference value of the two continuous phasor frequency measurements is smaller than the preset frequency value.
7. The anti-harmonic frequency measurement device based on the iteration of parabolic interpolation according to claim 6,
the calculation method for calculating the parabolic interpolation by the calculation module comprises the following steps:
where t is the sampling time at the new frequency, t k Sampling the current time, t, for the old frequency k-1 Forward by one time, t, for the old frequency samples k-2 And advancing the sampling of the old frequency by two moments, wherein L (t) is an interpolation point sampling value.
8. The anti-harmonic frequency measurement device based on the parabolic interpolation iteration of claim 6,
the calculation method for calculating the phasor frequency measurement by the calculation module comprises the following steps:
wherein, T s For the interpolated sample interval time, k is equal to
(N is an interpolation value)The number of sampling points in the next week),
is the imaginary part of the line voltage at the present time,
the real part of the line voltage at the present moment,
is the imaginary part of the line voltage of 1/4 cycle,
is the real part of the line voltage of 1/4 cycle,
is the imaginary part of the line voltage of 1/2 cycle wave front,
is the real part of the line voltage of 1/2 cycle wave front.
9. The anti-harmonic frequency measurement device based on the parabolic interpolation iteration as claimed in claim 6, further comprising:
a second detection module for obtaining the number of iterations;
the second judgment module is used for judging whether the iteration times are larger than or equal to a preset value or not;
when the iteration times are larger than or equal to a preset value, the control module stops iteration;
and when the iteration times are smaller than the preset value, the control module continues to perform parabolic interpolation on the sampling data.
10. The anti-harmonic frequency measurement device based on the parabolic interpolation iteration of claim 9,
the range of the preset value is 2 times to 3 times.
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