CN115963316B - Inter-harmonic detection method, device and medium - Google Patents

Inter-harmonic detection method, device and medium Download PDF

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CN115963316B
CN115963316B CN202211457271.0A CN202211457271A CN115963316B CN 115963316 B CN115963316 B CN 115963316B CN 202211457271 A CN202211457271 A CN 202211457271A CN 115963316 B CN115963316 B CN 115963316B
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proportional resonance
resonance detection
damping coefficient
detection algorithm
coefficient parameter
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CN115963316A (en
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吴亚楠
田贇祥
卢晶
李俊
茆华风
许留伟
王鹏飞
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Hefei Institutes of Physical Science of CAS
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Hefei Institutes of Physical Science of CAS
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Abstract

The application discloses an inter-harmonic detection method, a device and a medium, wherein the method is characterized in that a band-stop filter link is introduced on the basis of a traditional proportional resonance control algorithm to obtain an improved proportional resonance detection algorithm, a plurality of improved proportional resonance detection algorithms are cascaded to obtain a combined proportional resonance detection algorithm, and when the method is actually applied, harmonic signals generated by running in a power supply system are input into the combined proportional resonance detection algorithm, so that inter-harmonic signals of a target frequency band can be obtained, and the inter-harmonic signals of the target frequency band can be effectively extracted by filtering multi-frequency interference. Correspondingly, the application also provides an inter-harmonic detection device and a storage medium.

Description

Inter-harmonic detection method, device and medium
Technical Field
The present application relates to the field of measurement technologies, and in particular, to an inter-harmonic detection method, device, and medium.
Background
In recent years, with the continuous improvement of the operating conditions of fusion devices, the quality problem of electric energy is also becoming more and more prominent. The harmonic content of the fusion power supply system is greatly increased due to the large-scale use of nonlinear power electronic loads, and the system safety is seriously threatened. In the running process of the fusion device, the power supply system not only can generate characteristic subharmonics with larger amplitude, but also faces the problem that low-frequency inter-harmonics are mixed with high-amplitude interference signals (such as fundamental frequency and 3, 5 and 7 subharmonics), so that how to ensure the inter-harmonic detection effect is important.
Disclosure of Invention
The application provides an inter-harmonic detection method, device and medium, which can effectively extract inter-harmonic of a target frequency band by inhibiting interference signals mixed with the harmonic in the operation of a power supply system.
The first aspect of the present application provides an inter-harmonic detection method, comprising:
based on the traditional proportional resonance control algorithm, introducing a band-stop filter link to obtain an improved proportional resonance detection algorithm, and cascading a plurality of improved proportional resonance detection algorithms to obtain a combined proportional resonance detection algorithm;
and inputting harmonic signals generated by operation in the power supply system into the combined proportional resonance detection algorithm to obtain inter-harmonic signals of the target frequency band.
A second aspect of the present application provides an inter-harmonic detection apparatus comprising:
the algorithm acquisition module is used for introducing a band-stop filter link on the basis of the traditional proportional resonance control algorithm to obtain an improved proportional resonance detection algorithm, and cascading a plurality of improved proportional resonance detection algorithms to obtain a combined proportional resonance detection algorithm;
and the detection module is used for inputting harmonic signals generated by operation in the power supply system into the combined type proportional resonance detection algorithm to obtain inter-harmonic signals of the target frequency band.
A third aspect of the present application provides a computer readable storage medium comprising a stored computer program, wherein the computer program, when run, controls a device in which the computer readable storage medium is located to perform the inter-harmonic detection method as provided in the first aspect above.
Compared with the prior art, the inter-harmonic detection method provided by the application has the advantages that the band-stop filtering link is introduced on the basis of the traditional proportional resonance control algorithm to obtain the improved proportional resonance detection algorithm, a plurality of improved proportional resonance detection algorithms are cascaded to obtain the combined proportional resonance detection algorithm, and when the combined proportional resonance detection algorithm is actually applied, harmonic signals generated by running in a power supply system are input into the combined proportional resonance detection algorithm, so that inter-harmonic signals of a target frequency band can be obtained, and the inter-harmonic signals of the target frequency band can be effectively extracted by filtering the multi-frequency interference. Correspondingly, the application also provides an inter-harmonic detection device and a storage medium.
Drawings
FIG. 1 is a schematic flow chart of an inter-harmonic detection method according to an embodiment of the present application;
FIG. 2 is a flow chart for determining damping coefficients provided by an embodiment of the present application;
FIG. 3 is a Bode diagram corresponding to an improved proportional resonance detection algorithm for different damping coefficients according to an embodiment of the present application;
FIG. 4 is a Bode diagram corresponding to an improved proportional resonance detection algorithm when the damping coefficient values provided by the embodiment of the application are 0.01, 0.1 and 0.5;
FIG. 5 is a graph showing the dynamic response performance of the improved proportional resonance detection algorithm when the damping coefficient values provided by the embodiment of the application are 0.01, 0.1 and 0.5;
FIG. 6 is a Bode diagram of a combined proportional resonance detection algorithm provided by an embodiment of the present application;
FIG. 7 is a graph of the dynamic response performance of a combined proportional resonance detection algorithm provided by an embodiment of the present application;
fig. 8 is an equivalent circuit diagram of a series-parallel filtering system provided by an embodiment of the present application;
FIG. 9 is a pole-zero distribution diagram of a series-parallel filtering system provided by an embodiment of the present application;
FIG. 10 is a graph of steady state response performance of a cascade trap provided by an embodiment of the present application;
fig. 11 is a diagram of dynamic response performance of a cascade trap provided by an embodiment of the present application.
Detailed Description
The following description of the embodiments of the present application will be made clearly and completely with reference to the accompanying drawings, in which it is apparent that the embodiments described are only some embodiments of the present application, but not all embodiments. All other embodiments, which can be made by those skilled in the art based on the embodiments of the application without making any inventive effort, are intended to be within the scope of the application.
The inter-harmonic detection method of the application can be applied to the operation of a power supply system, in particular to a fusion power supply system, and because the problem that low-frequency inter-harmonic generated by the operation of the fusion power supply system is mixed with high-amplitude interference signals (fundamental frequency and 3, 5 and 7 times of harmonic waves) and the low-frequency inter-harmonic is basically concentrated near the second harmonic, the target frequency band for extracting the inter-harmonic is determined to be 75-125 Hz in one implementation mode, and of course, in other implementation modes, other target frequency bands can be selected according to the application.
The related prior art proposes a traditional harmonic detection method based on an instantaneous reactive power theory, and although the method can effectively detect single-frequency signals, continuous inter-spectrum harmonic signals cannot be processed.
Therefore, related researchers propose novel harmonic detection methods mainly comprising wavelet transformation and artificial neural networks, and although the novel harmonic detection methods can solve the problem of extracting signals in a certain frequency band, the application of the novel harmonic detection methods in the field of harmonic detection is limited due to the defects of long sampling/learning time, difficult proper selection of wavelet basis/learning rate and the like.
The applicant finds that in the implementation process, in a non-ideal state, namely in a system with voltage deviation, a quasi-proportional resonance control algorithm (also called quasi-PR algorithm) has good frequency selection performance, and the passband of signal extraction can be regulated and controlled by adjusting parameters.
In view of this, the application provides an improved proportional resonance detection algorithm based on the conventional proportional resonance control algorithm, and is particularly suitable for fusion power supply systems. The algorithm uses the principle of a traditional proportional resonance control algorithm (quasi PR algorithm) to make a band rejection link of a specific frequency signal, and provides a combined proportional resonance detection algorithm based on an improved proportional resonance detection algorithm, the signal to be suppressed can be filtered after the signal to be extracted passes through the combined proportional resonance detection algorithm, and the algorithm can effectively improve the noise immunity of the algorithm while maintaining the frequency selection performance.
The following describes the inter-harmonic detection method of the present application in detail with reference to the accompanying drawings.
Referring to fig. 1, fig. 1 is a flow chart of an inter-harmonic detection method according to an embodiment of the present application. The inter-harmonic detection method provided by the embodiment comprises S11-S12:
s11, introducing a band-stop filter link on the basis of a traditional proportional resonance control algorithm to obtain an improved proportional resonance detection algorithm, and cascading a plurality of improved proportional resonance detection algorithms to obtain a combined proportional resonance detection algorithm.
S12, inputting harmonic signals generated by operation in the power supply system into the combined type proportional resonance detection algorithm to obtain inter-harmonic signals of the target frequency band.
Specifically, the traditional proportional resonance control algorithm consists of a proportional link and a resonance link, can realize the static-difference-free control on the sine quantity, and has the transfer function of:
in the formula (1), K p As a proportionality coefficient omega 0 Is the resonant frequency, s is a pull operator, K R1 、K R2 Are all resonant coefficients, and are exemplified by values of 1 and 2, respectively.
Adding a band-stop filter link in the formula (1), specifically, making epsilon=2K R2 ,ζω 0 =K R2 (K R1 +1), the transfer function of the improved proportional resonance detection algorithm can be reduced to:
the preparation of the formula (2) can be carried out to obtain:
let the denominator polynomial in equation (3) be zero, the resulting characteristic equation is:
wherein the two feature roots are
As can be seen from the formula (5), the dynamic response of the detection link depends on the damping coefficient ζ, and the value range of ζ also determines the damping state and stability of the system, which is summarized as follows: 1) When ζ <0, the system diverges and is unstable; 2) ζ=0, undamped, critical stability of the system; 3) When ζ is 0< 1, under damping is carried out, and the system is stable; 4) ζ=1, critical damping, system stability; 5) Zeta >1, overdamping and system stabilization.
To further determine the damping coefficient parameters in the improved proportional resonance detection algorithm, in an alternative embodiment, referring to FIG. 2, FIG. 2 shows a flow chart of damping coefficient determination.
Specifically, after the "improved proportional resonance detection algorithm" in S11, the method further includes:
setting a plurality of damping coefficient parameter values to be selected and substituting the damping coefficient parameter values into a transfer function of the improved proportional resonance detection algorithm;
inputting the test signals into an improved proportional resonance detection algorithm corresponding to each damping coefficient parameter value to be selected, and respectively obtaining test signal output waveforms corresponding to each damping coefficient parameter value to be selected; the test signal is a mixed signal composed of an interference signal and a reference signal;
obtaining dynamic response performance of an improved proportional resonance detection algorithm corresponding to each damping coefficient parameter value to be selected according to a comparison result of the waveform of the reference signal and the test signal output waveform corresponding to each damping coefficient parameter value to be selected;
determining the amplitude-frequency characteristic of an improved proportional resonance detection algorithm corresponding to each damping coefficient parameter value to be selected according to the output signal waveform corresponding to each damping coefficient parameter value to be selected;
screening out to-be-selected damping coefficient parameter values with dynamic response performance meeting preset response requirements and the amplitude-frequency characteristics meeting preset characteristic requirements, and obtaining at least one candidate damping coefficient parameter value;
comparing the dynamic response performance and amplitude frequency characteristics of at least one candidate damping coefficient parameter value, and selecting a candidate damping coefficient parameter value with optimal dynamic response performance and amplitude frequency characteristics as a final damping coefficient parameter value;
substituting the final damping coefficient parameter value into a transfer function of the improved proportional resonance detection algorithm to obtain the improved proportional resonance detection algorithm with optimized parameters.
Further, a plurality of improved proportional resonance detection algorithms with optimized parameters are cascaded to obtain a combined proportional resonance detection algorithm.
In the specific implementation, considering the stability of the system, only the damping coefficient parameter when the system is stable is tested, namely, the damping coefficient is greater than or equal to 0.
Specifically, the dynamic response performance refers to the time (the frequency and the amplitude of which are stable) required for stabilizing the waveform of the output signal after the test signal is input to the improved proportional resonance detection algorithm based on the reference signal. Specifically, the preset response requires that the time required for the waveform of the output signal to stabilize be within a preset time range, such as 30ms.
Specifically, the amplitude-frequency characteristic refers to the ratio of the amplitude of the input signal to the amplitude of the output signal, and the amplitude-frequency characteristic meets the preset characteristic requirement as follows: the ratio of the amplitude of the input signal to the output signal is less than a predetermined value. For example, after the test signal is input to the improved proportional resonance control algorithm, the output waveform is analyzed to obtain the corresponding amplitude, and whether the interference signal is suppressed below-60 dB (i.e., the suppression rate is 99.9%) is determined by the amplitude.
In a specific implementation, the test signal is a mixed signal composed of an interference signal and a reference signal, and an exemplary reference signal may be a sinusoidal signal with amplitude of 10V and frequency of 125Hz, the test signal is detected by an improved proportional resonance detection algorithm, the interference signal is suppressed by the improved proportional resonance detection algorithm, and the output signal should only contain the reference signal.
Illustratively, the zeta values of 0.1, 1 and 10 were analyzed by taking the 3 rd harmonic as a study object, respectively, to obtain corresponding bode charts, and the filtering effects thereof were compared, as shown in fig. 3. As can be seen from fig. 3, the improved proportional resonance detection algorithm can well attenuate the amplitude of the target signal, the transition zone is very narrow, no delay is caused to the phase angle of the target signal, and the target interference signal can be effectively filtered through the link.
As can be seen from fig. 3, the signal extraction passband of the improved proportional resonance detection algorithm with ζ=0.1 is the narrowest, the detection sharpness is the highest, and the filtering effect is better, so that the under-damping system is studied with great importance. The 3 rd harmonic is taken as a research object, the improved proportional resonance detection algorithm with zeta values of 0.01, 0.1 and 0.5 is analyzed, and the waveform of the test signal output is shown in a Bode diagram shown in figure 4. The filtering effects under zeta values of 0.01, 0.1 and 0.5 are compared, and sine signals with frequency of 125Hz are used as reference signals to compare the dynamic following performance of the improved proportional resonance detection algorithm corresponding to different damping coefficient parameter values, as shown in fig. 4.
As can be seen from fig. 5, in the under-damped system, the smaller the ζ value, the narrower the passband bandwidth, and the better the detection effect, but the longer the delay time, the poorer the dynamic response performance. When ζ=0.1, the detection signal can achieve complete follow within 0.03 s. Because some power supply systems are complex and changeable, such as the Tokamak system, strict requirements are imposed on the detection effect and the dynamic convergence time, in order to achieve both the filtering effect and the dynamic following performance, it is preferable that the damping coefficient comprehensively considers ζ=0.125.
For the low-frequency inter-harmonic signals with larger amplitude, the second harmonic and the periphery thereof are concentrated, and in addition to inter-harmonic signals (75-125 Hz) which need to be detected in a major way, a large amount of high-amplitude interference signals (fundamental frequency and 3, 5 and 7 harmonics) exist in an actual power supply system. Considering that the improved proportional resonance detection algorithm has good inhibition characteristic and dynamic response performance, a novel detection method for the inter-harmonic signals is provided on the basis of the improved proportional resonance detection algorithm. Considering the problem that the passive filtering branch possibly has incomplete filtering of the high-amplitude multi-frequency harmonic signals, a plurality of improved proportional resonance detection algorithms are cascaded to obtain a combined proportional resonance detection algorithm so as to filter the multi-frequency high-amplitude interference signals, and then the inter-harmonic signals of the target frequency band can be indirectly obtained.
Specifically, a plurality of improved proportional resonance detection algorithms are cascaded, namely the improved proportional resonance detection algorithms are connected in series, and on the basis of the formula (3), the transfer function of the combined proportional resonance detection algorithm is as follows:
where N represents the number of cascades.
In the embodiment of the application, the power supply system with complex and variable harmonic characteristics is considered, and a combined type proportion resonance detection algorithm capable of eliminating multi-frequency signals is provided so as to effectively eliminate multi-frequency interference signals, ensure safe and stable operation of the system while realizing real-time accurate detection of inter-harmonic of a target frequency band, and is particularly suitable for a fusion power supply system.
For example, the amplitude-frequency characteristic and dynamic response performance analysis of the combined proportional resonance detection algorithm are performed below by taking the multi-frequency interference signals (fundamental frequency and 3, 5, 7 th harmonic) as the research objects, as shown in fig. 6 and 7.
As can be seen from fig. 6 and 7, the passband width of the filtered signal is narrow, the attenuation capability is strong, and the combined proportional resonance detection algorithm has a good filtering function on the amplitude of the interference signal, so that the signal with the target frequency can be effectively detected, and meanwhile, the inter-harmonic signal of 125Hz is used as a reference, so that complete following can be realized within 30ms.
Furthermore, in order to verify the performance of the inter-harmonic detection method according to the embodiment of the application, a combined proportional resonance detection algorithm is simulated and verified.
After the inter-harmonic wave is detected, the detected signal is input into a low-frequency series-parallel filtering system for treatment. The low-frequency series-parallel filtering system consists of a polar field load harmonic source, a TCR circuit, an active current transformation unit, an injection branch and a passive filtering branch, wherein the active current transformation unit has the capability of tracking low-frequency harmonic.
And (3) carrying out equivalent simplification on the low-frequency series-parallel filtering system, and firstly converting the harmonic source, the system impedance and the coupling transformation ratio (1:n) into a single-phase system according to the equivalent of the power grid parameters. Further simplify the low-frequency series-parallel filtering system to make Z FQ The overall equivalent impedance for the 3, 5, 7, 11 and 13 branches, namely:
and then an equivalent circuit of the low-frequency series-parallel system when the Active Power Filter (APF) operates is obtained, as shown in fig. 8.
In fig. 8, in the harmonic detection link (i.e. the combined proportional resonance detection algorithm provided in the embodiment of the present application) for the important study of the embodiment of the present application, I APF For the current to be detected, G's is the transfer function of the combined proportional resonance detection algorithm, I APF * G's represents the current after the detection step. Let Z(s) =k×g'(s), K is a proportional element, and the system harmonic current shown in formula (8) can be obtained according to kirchhoff current and voltage law:
from equation (8), it can be seen that only harmonic current passes through the APF device, and when the injection branch subtracts the harmonic source as a reference point, the transfer function of the low-frequency series-parallel filtering system is shown as equation (9).
Although the combined type proportion resonance detection algorithm is only a part of the whole low-frequency series-parallel filtering system, an unstable factor can be brought to the system, and the stability analysis is carried out on the analog closed-loop system by adopting a pole-zero analysis method. The pole-zero stability criterion is: if all poles of the closed loop transfer function are in the left half plane of the complex plane, then the system is stable.
From the above analysis, the improved proportional resonance detection algorithm is essentially a second-order underdamped system, and thus has good stability. The combined type proportion resonance detection algorithm is formed by cascading improved proportion resonance detection algorithms, and an unstable pole is not added to a denominator factor in the cascading process, so that the combined type proportion resonance detection algorithm has good stability.
In order to prevent an inter-harmonic detection algorithm from bringing unstable factors to the low-frequency series-parallel system, stability analysis is required to be performed on the low-frequency series-parallel system added with a detection link. In order to improve the stability of the system, a first-order inertia correction link is specially added, namely, the following steps:
substituting equation (10) into equation (11) and performing stability analysis of the whole system, the pole-zero distribution of which is shown in fig. 9. In the figure, x represents the pole of the transfer function, o represents the zero system of the transfer function, all poles are in the left half area of the complex plane, and the system has good stability.
Considering that in the whole low-frequency harmonic band, except for the harmonic wave between the target frequency bands (75-125 Hz), the high amplitude is concentrated on the fundamental frequency and the 3 rd harmonic wave signals, so the fundamental frequency and the 3 rd harmonic wave signals are filtered by utilizing a combined type proportional resonance detection algorithm, and the signals of the target frequency bands can be obtained. The detection performance of the combined proportional resonance detection algorithm is verified by adopting a mode of serially connecting F42N50 series analog wave traps.
In formula (6), let n=2, a 1 =A 2 =1,σ 1 =σ 2 =0.1,ω 1 =2π*50,ω 2 The dynamic/steady response performance of the cascade trap circuit was verified using a 125Hz sinusoidal signal as a reference signal =2pi×150. Fig. 10, 11 show the steady state and dynamic response performance of the cascaded trap circuit with a steady state response phase error of 13 deg., a dynamic response delay of about 30ms. In addition, as can be seen from the figure, the output signal after passing through the serial wave trap does not contain fundamental frequency and 3 rd harmonic signals any more, so that the detection performance and effect of the combined type proportional resonance detection algorithm are verified.
Correspondingly, the embodiment of the application also provides an inter-harmonic detection device, which comprises:
the algorithm acquisition module is used for introducing a band-stop filter link on the basis of the traditional proportional resonance control algorithm to obtain an improved proportional resonance detection algorithm, and cascading a plurality of improved proportional resonance detection algorithms to obtain a combined proportional resonance detection algorithm;
and the detection module is used for inputting harmonic signals generated by operation in the power supply system into the combined type proportional resonance detection algorithm to obtain inter-harmonic signals of the target frequency band.
In an alternative embodiment, the transfer function of the improved proportional resonance detection algorithm is:
wherein G(s) is the transfer function of the improved proportional resonance detection algorithm, A 0 For detecting algorithm gain, sigma is molecular formula equivalent coefficient, s is a pull operator, ζ is damping coefficient parameter, omega 0 Is the resonant frequency.
In an alternative embodiment, after the improved proportional resonance detection algorithm, the method further comprises:
setting a plurality of damping coefficient parameter values to be selected and substituting the damping coefficient parameter values into a transfer function of the improved proportional resonance detection algorithm;
inputting the test signals into an improved proportional resonance detection algorithm corresponding to each damping coefficient parameter value to be selected, and respectively obtaining test signal output waveforms corresponding to each damping coefficient parameter value to be selected; the test signal is a mixed signal composed of an interference signal and a reference signal;
obtaining dynamic response performance of an improved proportional resonance detection algorithm corresponding to each damping coefficient parameter value to be selected according to a comparison result of the waveform of the reference signal and the test signal output waveform corresponding to each damping coefficient parameter value to be selected;
determining the amplitude-frequency characteristic of an improved proportional resonance detection algorithm corresponding to each damping coefficient parameter value to be selected according to the output signal waveform corresponding to each damping coefficient parameter value to be selected;
screening out to-be-selected damping coefficient parameter values with dynamic response performance meeting preset response requirements and the amplitude-frequency characteristics meeting preset characteristic requirements, and obtaining at least one candidate damping coefficient parameter value;
comparing the dynamic response performance and amplitude frequency characteristics of at least one candidate damping coefficient parameter value, and selecting a candidate damping coefficient parameter value with optimal dynamic response performance and amplitude frequency characteristics as a final damping coefficient parameter value;
substituting the final damping coefficient parameter value into a transfer function of the improved proportional resonance detection algorithm to obtain an improved proportional resonance detection algorithm with optimized parameters;
and, the cascade connection of a plurality of improved proportional resonance detection algorithms specifically comprises:
an improved proportional-resonance detection algorithm that concatenates a plurality of optimized parameters.
In an alternative embodiment, the set plurality of candidate damping coefficient parameter values includes 0.1, 1, 10, 0.01, and 0.5.
In an alternative embodiment, the transfer function of the combined proportional resonance detection algorithm is:
wherein G's is a transfer function of a combined proportional resonance detection algorithm, N represents the number of cascading, s is a pull operator, ζ is a damping coefficient parameter, ω i Resonance frequency, sigma, in the ith improved proportional resonance detection algorithm participating in cascade i Molecular formula equivalent coefficient in the ith improved proportional resonance detection algorithm participating in cascade connection, A i Gain for the ith improved proportional resonance detection algorithm participating in the cascade.
In an alternative embodiment, the power supply system is a fusion power supply system.
It should be noted that, the inter-harmonic detection apparatus provided in the embodiment of the present application is configured to execute all steps and procedures of the inter-harmonic detection method in the foregoing embodiment, and the working principles and beneficial effects of the two correspond to each other one by one, which is not repeated here.
Correspondingly, an embodiment of the present application further provides a computer readable storage medium, including a stored computer program, where when the computer program runs, the device where the computer readable storage medium is controlled to execute the method for detecting an inter-harmonic provided in the foregoing embodiment, for example, S11 to S12 in fig. 1.
Wherein the computer program comprises computer program code which may be in source code form, object code form, executable file or some intermediate form etc. The computer readable medium may include: any entity or device capable of carrying the computer program code, a recording medium, a U disk, a removable hard disk, a magnetic disk, an optical disk, a computer Memory, a Read-Only Memory (ROM), a random access Memory (RAM, random Access Memory), an electrical carrier signal, a telecommunications signal, a software distribution medium, and so forth.
While the foregoing is directed to the preferred embodiments of the present application, it will be appreciated by those skilled in the art that changes and modifications may be made without departing from the principles of the application, such changes and modifications are also intended to be within the scope of the application.

Claims (6)

1. An inter-harmonic detection method, comprising:
based on the traditional proportional resonance control algorithm, introducing a band-stop filter link to obtain an improved proportional resonance detection algorithm, and cascading a plurality of improved proportional resonance detection algorithms to obtain a combined proportional resonance detection algorithm;
inputting harmonic signals generated by operation in a power supply system into the combined proportional resonance detection algorithm to obtain inter-harmonic signals of a target frequency band;
after the improved proportional resonance detection algorithm, the method further comprises:
setting a plurality of damping coefficient parameter values to be selected and substituting the damping coefficient parameter values into a transfer function of the improved proportional resonance detection algorithm;
inputting the test signals into an improved proportional resonance detection algorithm corresponding to each damping coefficient parameter value to be selected, and respectively obtaining test signal output waveforms corresponding to each damping coefficient parameter value to be selected; the test signal is a mixed signal composed of an interference signal and a reference signal;
obtaining dynamic response performance of an improved proportional resonance detection algorithm corresponding to each damping coefficient parameter value to be selected according to a comparison result of the waveform of the reference signal and the test signal output waveform corresponding to each damping coefficient parameter value to be selected;
determining the amplitude-frequency characteristic of an improved proportional resonance detection algorithm corresponding to each damping coefficient parameter value to be selected according to the output signal waveform corresponding to each damping coefficient parameter value to be selected;
screening out to-be-selected damping coefficient parameter values with dynamic response performance meeting preset response requirements and amplitude-frequency characteristics meeting preset characteristic requirements, and obtaining a candidate damping coefficient parameter value candidate set;
comparing the dynamic response performance and amplitude frequency characteristics of damping coefficients in the candidate damping coefficient parameter value candidate set, and selecting a candidate damping coefficient parameter value with optimal dynamic response performance and amplitude frequency characteristics as a final damping coefficient parameter value;
substituting the final damping coefficient parameter value into a transfer function of the improved proportional resonance detection algorithm to obtain an improved proportional resonance detection algorithm with optimized parameters;
and, the cascade connection of a plurality of improved proportional resonance detection algorithms specifically comprises:
cascading improved proportional resonance detection algorithms for a plurality of optimized parameters;
the transfer function of the combined proportional resonance detection algorithm is as follows:
wherein ,G`(s)as a transfer function of the combined proportional resonance detection algorithm,Nthe number of the cascade is indicated,sin order to be a pull-type operator,is a damping coefficient parameter->Is the firstiResonance frequency in improved proportional resonance detection algorithm participating in cascade connection, < >>Is the firstiMolecular formula equivalent coefficients in the improved proportional resonance detection algorithm participating in cascade connection,A i is the firstiGain of improved proportional resonance detection algorithms involved in the cascade.
2. The method of inter-harmonic detection as claimed in claim 1 wherein the transfer function of the improved proportional resonance detection algorithm is:
wherein ,G(s)to improve the transfer function of the proportional resonance detection algorithm,A 0 in order to detect the gain of the algorithm,is the equivalent coefficient of the molecular formula,sfor pull operator>Is a damping coefficient parameter->Is the resonant frequency.
3. The method of claim 1, wherein the set plurality of candidate damping coefficient parameter values includes 0.1, 1, 10, 0.01 and 0.5.
4. The method of inter-harmonic detection as in claim 1 wherein the power supply system is a fusion power supply system.
5. An inter-harmonic detection apparatus, comprising:
the algorithm acquisition module is used for introducing a band-stop filter link on the basis of the traditional proportional resonance control algorithm to obtain an improved proportional resonance detection algorithm, and cascading a plurality of improved proportional resonance detection algorithms to obtain a combined proportional resonance detection algorithm;
the detection module is used for inputting harmonic signals generated by operation in the power supply system into the combined type proportional resonance detection algorithm to obtain inter-harmonic signals of a target frequency band;
after the improved proportional resonance detection algorithm, the method further comprises:
setting a plurality of damping coefficient parameter values to be selected and substituting the damping coefficient parameter values into a transfer function of the improved proportional resonance detection algorithm;
inputting the test signals into an improved proportional resonance detection algorithm corresponding to each damping coefficient parameter value to be selected, and respectively obtaining test signal output waveforms corresponding to each damping coefficient parameter value to be selected; the test signal is a mixed signal composed of an interference signal and a reference signal;
obtaining dynamic response performance of an improved proportional resonance detection algorithm corresponding to each damping coefficient parameter value to be selected according to a comparison result of the waveform of the reference signal and the test signal output waveform corresponding to each damping coefficient parameter value to be selected;
determining the amplitude-frequency characteristic of an improved proportional resonance detection algorithm corresponding to each damping coefficient parameter value to be selected according to the output signal waveform corresponding to each damping coefficient parameter value to be selected;
screening out to-be-selected damping coefficient parameter values with dynamic response performance meeting preset response requirements and amplitude-frequency characteristics meeting preset characteristic requirements, and obtaining a candidate damping coefficient parameter value candidate set;
comparing the dynamic response performance and amplitude frequency characteristics of damping coefficients in the candidate damping coefficient parameter value candidate set, and selecting a candidate damping coefficient parameter value with optimal dynamic response performance and amplitude frequency characteristics as a final damping coefficient parameter value;
substituting the final damping coefficient parameter value into a transfer function of the improved proportional resonance detection algorithm to obtain an improved proportional resonance detection algorithm with optimized parameters;
and, the cascade connection of a plurality of improved proportional resonance detection algorithms specifically comprises:
cascading improved proportional resonance detection algorithms for a plurality of optimized parameters;
the transfer function of the combined proportional resonance detection algorithm is as follows:
wherein ,G`(s)as a transfer function of the combined proportional resonance detection algorithm,Nthe number of the cascade is indicated,sin order to be a pull-type operator,is the damping coefficient parameterCount (n)/(l)>Is the firstiResonance frequency in improved proportional resonance detection algorithm participating in cascade connection, < >>Is the firstiMolecular formula equivalent coefficients in the improved proportional resonance detection algorithm participating in cascade connection,A i is the firstiGain of improved proportional resonance detection algorithms involved in the cascade.
6. A computer readable storage medium, characterized in that the computer readable storage medium comprises a stored computer program, wherein the computer program, when run, controls a device in which the computer readable storage medium is located to perform the inter-harmonic detection method according to any one of claims 1 to 4.
CN202211457271.0A 2022-11-21 2022-11-21 Inter-harmonic detection method, device and medium Active CN115963316B (en)

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