CN114389282A - Affine-based uncertainty modal analysis method - Google Patents

Affine-based uncertainty modal analysis method Download PDF

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CN114389282A
CN114389282A CN202210069271.7A CN202210069271A CN114389282A CN 114389282 A CN114389282 A CN 114389282A CN 202210069271 A CN202210069271 A CN 202210069271A CN 114389282 A CN114389282 A CN 114389282A
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邵振国
洪语蔚
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Fuzhou University
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    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00—Circuit arrangements for ac mains or ac distribution networks
    • H02J3/18—Arrangements for adjusting, eliminating or compensating reactive power in networks
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00—Circuit arrangements for ac mains or ac distribution networks
    • H02J3/24—Arrangements for preventing or reducing oscillations of power in networks
    • H02J3/241—The oscillation concerning frequency
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00—Circuit arrangements for ac mains or ac distribution networks
    • H02J3/38—Arrangements for parallely feeding a single network by two or more generators, converters or transformers
    • H02J3/381—Dispersed generators
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00—Circuit arrangements for ac mains or ac distribution networks
    • H02J3/38—Arrangements for parallely feeding a single network by two or more generators, converters or transformers
    • H02J3/46—Controlling of the sharing of output between the generators, converters, or transformers
    • H02J3/50—Controlling the sharing of the out-of-phase component
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J2203/00—Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
    • H02J2203/10—Power transmission or distribution systems management focussing at grid-level, e.g. load flow analysis, node profile computation, meshed network optimisation, active network management or spinning reserve management
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J2203/00—Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
    • H02J2203/20—Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J2300/00—Systems for supplying or distributing electric power characterised by decentralized, dispersed, or local generation
    • H02J2300/20—The dispersed energy generation being of renewable origin
    • H02J2300/28—The renewable source being wind energy
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E10/00—Energy generation through renewable energy sources
    • Y02E10/70—Wind energy
    • Y02E10/76—Power conversion electric or electronic aspects
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E40/00—Technologies for an efficient electrical power generation, transmission or distribution
    • Y02E40/10—Flexible AC transmission systems [FACTS]

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Abstract

The invention relates to an affine-based uncertainty modal analysis method, which comprises the following steps of: (1) expressing the compensation capacity of the reactive compensation device SVC into a complex affine form, and solving a node admittance expression of the SVC to a wind power plant grid-connected system; (2) calculated at frequencyfPerforming eigenvalue decomposition on the grid-connected system node admittance matrix, and inverting the eigenvalue matrix to obtain a modal impedance matrix; (3) and establishing a correlation surface graph of the affine quantity, the grid-connected system harmonic frequency and the grid-connected system modal impedance to obtain modal impedance curves under different SVC compensation capacities and compensation capacity intervals corresponding to even-numbered resonant frequencies under any resonant mode. The method is beneficial to inhibiting the wind power plant grid-connected systemAnd (5) performing system resonance.

Description

Affine-based uncertainty modal analysis method
Technical Field
The invention belongs to the technical field of wind power, and particularly relates to an affine-based uncertainty modal analysis method.
Background
With the exhaustion of fossil energy and the continuous deterioration of the environment, new energy represented by wind power is widely used. In the grid connection process of a wind power plant, a plurality of grid connection power quality problems exist, wherein the influence caused by the harmonic resonance phenomenon is particularly obvious. Harmonic resonance can cause the amplitude of certain harmonic wave in the wind power plant to be suddenly raised, so that overvoltage or overcurrent is formed, and the problems of protection misoperation, equipment damage and the like in the wind power plant are caused. Due to the fact that large uncertainty exists in wind power generation, the input and the cut-out of the parallel compensation capacitor become a dynamic change process due to the change of the output power of the wind power grid-connected system, and the resonance point of a wind power field can be shifted along with the change of external conditions in the process. The mode analysis method capable of obtaining the dynamic information of the wind power grid-connected harmonic resonance is a key for analyzing the influence of uncertainty on the harmonic resonance.
Because the traditional modal analysis method can only carry out deterministic analysis on harmonic resonance of the system, most of the related researches on harmonic resonance at present are deterministic analysis, and the uncertain influence of uncertain variables on a new energy grid-connected system is not considered. In order to effectively adjust the resonant frequency of the grid-connected system to control the harmonic resonance phenomenon, the uncertainty change condition of the system resonance caused by the uncertainty of the system parameters needs to be further analyzed.
Disclosure of Invention
The invention aims to provide an affine-based uncertainty modal analysis method which is beneficial to inhibiting the resonance of a wind power plant grid-connected system.
In order to achieve the purpose, the invention adopts the technical scheme that: an affine-based uncertainty modal analysis method, comprising the steps of:
(1) representing the compensation capacity of a reactive compensation device SVC in complex affine form
Figure BDA0003481396270000011
Obtaining node admittance expression of SVC (static var compensator) to wind power plant grid-connected system
Figure BDA0003481396270000012
(2) Calculating the grid connection at frequency fSystem node admittance matrix YfDecomposing the eigenvalue of the model, and inverting the eigenvalue matrix Lambda to obtain a modal impedance matrix Lambda-1；
(3) Establishing affine quantities
Figure BDA0003481396270000013
Obtaining a modal impedance curve under different SVC compensation capacities and corresponding to each even-numbered resonance frequency under any resonance mode by using a correlation surface graph of the grid-connected system harmonic frequency and the grid-connected system modal impedance
Figure BDA0003481396270000021
An interval.
Further, in the step (1), for the wind farm grid-connected system connected with the reactive compensation device SVC, when the compensation capacity of the reactive compensation device SVC changes, the resonant frequency of the wind farm grid-connected system changes accordingly; the complex affine expression of the compensation capacity of the SVC is constructed as follows:
Figure BDA0003481396270000022
wherein Q issvc,0An affine center value for a single reactive compensation device SVC; qiThe method is determined by the rated capacity of the SVC, and the complex affine expression is a noise element coefficient; epsiloniThe value of the fluctuation range of the reactive output of the SVC is epsiloni∈[-1,1]；
Compensation capacity for SVC based on complex affine form
Figure BDA0003481396270000023
Calculating a node admittance expression generated by the SVC to the wind power plant grid-connected system as follows:
Figure BDA0003481396270000024
in the formula, VBThe rated voltage of the SVC is h, and the harmonic frequency is h.
Further, in the step (2), the modal impedance is calculated by:
wind power plant grid-connected system node admittance matrix Y with SVC connected at frequency ff：
Figure BDA0003481396270000025
If the system generates a parallel resonance phenomenon with the frequency f, the equation of the node voltage and the current is as follows:
Figure BDA0003481396270000026
wherein, YfFor the grid-connected system node admittance matrix at frequency f, VfAnd IfInjecting current vectors for the node voltage and the node, respectively; node admittance matrix YfThe decomposition is as follows:
Yf＝LΛT (5)
in the formula, Λ is a diagonal eigenvalue matrix, and Λ ═ diag (λ)1,λ2,…λk,…)；L＝[l1,l2,…lk,…]、T＝[t1,t2,…tk,…]Are left and right eigenvector matrixes respectively, and have L ═ T-1；
Substituting formula (5) for formula (4) to obtain:
Vf＝LΛ-1TIf (6)
definition of Uf＝TVfIs a modal voltage vector, Jf＝TIfIs a modal current vector, then has Uf＝Λ-1Jf(ii) a Namely:
Figure BDA0003481396270000031
in the formula, Λ-1Is a modal impedance matrix.
Further, the specific steps of analyzing the uncertainty of the grid-connected resonance by adopting the modal analysis method are as follows:
1) based on a modal analysis model, calculating to obtain an SVC compensation capacity complex affine expression according to the formula (1)
Figure BDA0003481396270000032
Then, a node admittance complex affine expression is obtained through calculation according to the formula (2)
Figure BDA0003481396270000033
2) Calculating to obtain a system node admittance matrix Y(s);
3) performing eigenvalue decomposition on the node admittance matrix y(s), i.e. y(s) ═ l(s) Λ(s) t(s), so as to obtain a left eigenvector matrix l(s), a right eigenvector matrix t(s) and a diagonal eigenvalue matrix Λ(s);
4) calculating modal impedance of each mode when the system frequency is f;
5) repeating the steps 2) -4) until all harmonic frequencies which can cause system resonance are traversed, so that a system modal impedance curve graph under each harmonic frequency is obtained, and the grid-connected resonance phenomenon of the wind power plant is further analyzed; and combining the affine model of the SVC and the node admittance complex affine expression to obtain a system modal impedance curve under each harmonic frequency, and further obtaining a correlation curve of SVC compensation capacity and system resonance frequency.
Further, in the step (3), modal analysis is performed on the wind power grid-connected system, and an affine quantity is established
Figure BDA0003481396270000034
A correlation surface graph of the harmonic frequency of the grid-connected system and the modal impedance of the grid-connected system; by analyzing the position of the maximum value of the modal impedance, the difference is confirmed
Figure BDA0003481396270000035
Establishing SVC compensation capacity based on grid-connected system resonant frequency
Figure BDA0003481396270000036
A correlation curve with the resonant frequency of the grid-connected system; the grid-connected system resonant frequency and SVC compensation capacity have positive correlation,based on this rule, how to adjust by analysis
Figure BDA0003481396270000037
The size is used for realizing the adjustment of the resonant frequency; because the actual power system almost has no even harmonic, the resonance frequency of the grid-connected system is adjusted to be even, so that the aim of inhibiting the resonance of the wind power plant grid-connected system is fulfilled.
Compared with the prior art, the invention has the following beneficial effects: the method is based on affine operation, fully considers the uncertainty of parameters of the wind power plant, researches and analyzes the correlation of the SVC compensation capacity, the grid-connected system resonant frequency and the grid-connected system modal impedance, and obtains the correlation curve of the SVC reactive compensation capacity and the wind power plant grid-connected system resonant frequency and the correlation curve corresponding to each even-numbered resonant frequency in a certain resonant mode
Figure BDA0003481396270000041
An interval. Hereby it can be analyzed how to adjust the reactive compensation capacity
Figure BDA0003481396270000042
And the resonance frequency band is effectively moved to a target frequency band (even harmonics), so that the aim of inhibiting the resonance of the wind power plant grid-connected system is fulfilled. The method can be used for analyzing the influence of parameter uncertainty on the resonant frequency of the system and providing a basis for harmonic resonance treatment, and the treatment method does not need to introduce a new filtering device and does not generate additional resonant frequency.
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FIG. 1 is a flow chart of a method implementation of an embodiment of the present invention;
FIG. 2 is a graph of modal impedance for different SVC compensation capacities in an embodiment of the present invention;
fig. 3 is a graph showing the correlation between the SVC compensation capacity and the grid-connected system resonant frequency in the embodiment of the present invention.
Detailed Description
The invention is further explained below with reference to the drawings and the embodiments.
It should be noted that the following detailed description is exemplary and is intended to provide further explanation of the disclosure. Unless defined otherwise, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this application belongs.
It is noted that the terminology used herein is for the purpose of describing particular embodiments only and is not intended to be limiting of example embodiments according to the present application. As used herein, the singular forms "a", "an" and "the" are intended to include the plural forms as well, and it should be understood that when the terms "comprises" and/or "comprising" are used in this specification, they specify the presence of stated features, steps, operations, devices, components, and/or combinations thereof, unless the context clearly indicates otherwise.
As shown in fig. 1, the present embodiment provides an affine-based uncertainty modal analysis method, including the following steps:
(1) representing the compensation capacity of a reactive compensation device SVC in complex affine form
Figure BDA0003481396270000043
Obtaining node admittance expression of SVC (static var compensator) to wind power plant grid-connected system
Figure BDA0003481396270000044
(2) Calculating grid-connected system node admittance matrix Y at frequency ffDecomposing the eigenvalue of the model, and inverting the eigenvalue matrix Lambda to obtain a modal impedance matrix Lambda-1。
(3) Establishing affine quantities
Figure BDA0003481396270000045
Obtaining a modal impedance curve under different SVC compensation capacities and corresponding to each even-numbered resonance frequency under any resonance mode by using a correlation surface graph of the grid-connected system harmonic frequency and the grid-connected system modal impedance
Figure BDA0003481396270000051
An interval.
1. Calculation of affine node admittance
For a wind power plant grid-connected system connected with a reactive compensation device SVC, when the compensation capacity of the reactive compensation device SVC changes, the resonance frequency of the wind power plant grid-connected system changes; the complex affine expression of the compensation capacity of the SVC is constructed as follows:
Figure BDA0003481396270000052
wherein Q issvc,0An affine center value for a single reactive compensation device SVC; qiThe method is determined by the rated capacity of the SVC, and the complex affine expression is a noise element coefficient; epsiloniThe value of the fluctuation range of the reactive output of the SVC is epsiloni∈[-1,1]；
Compensation capacity for SVC based on complex affine form
Figure BDA0003481396270000053
Calculating a node admittance expression generated by the SVC to the wind power plant grid-connected system as follows:
Figure BDA0003481396270000056
in the formula, VBThe rated voltage of the SVC is h, and the harmonic frequency is h.
2. Calculation of modal impedance
Wind power plant grid-connected system node admittance matrix Y with SVC connected at frequency ff：
Figure BDA0003481396270000054
If the system generates a parallel resonance phenomenon with the frequency f, the equation of the node voltage and the current is as follows:
Figure BDA0003481396270000055
wherein, YfTo be at frequencyGrid-connected system node admittance matrix, V, at rate ffAnd IfInjecting current vectors for the node voltage and the node, respectively; node admittance matrix YfThe decomposition is as follows:
Yf＝LΛT (5)
in the formula, Λ is a diagonal eigenvalue matrix, and Λ ═ diag (λ)1,λ2,…λk,…)；L＝[l1,l2,…lk,…]、T＝[t1,t2,…tk,…]Are left and right eigenvector matrixes respectively, and have L ═ T-1；
Substituting formula (5) for formula (4) to obtain:
Vf＝LΛ-1TIf (6)
definition of Uf＝TVfIs a modal voltage vector, Jf＝TIfIs a modal current vector, then has Uf＝Λ-1Jf(ii) a Namely:
Figure BDA0003481396270000061
in the formula, Λ-1Is a modal impedance matrix.
In this embodiment, the specific steps of analyzing the uncertainty of the grid-connected resonance by using the modal analysis method are as follows:
1) based on a modal analysis model, calculating to obtain an SVC compensation capacity complex affine expression according to the formula (1)
Figure BDA0003481396270000062
Then, a node admittance complex affine expression is obtained through calculation according to the formula (2)
Figure BDA0003481396270000063
2) Calculating to obtain a system node admittance matrix Y(s);
3) performing eigenvalue decomposition on the node admittance matrix y(s), i.e. y(s) ═ l(s) Λ(s) t(s), so as to obtain a left eigenvector matrix l(s), a right eigenvector matrix t(s) and a diagonal eigenvalue matrix Λ(s);
4) calculating modal impedance of each mode when the system frequency is f;
5) repeating the steps 2) -4) until all harmonic frequencies which can cause system resonance are traversed, so that a system modal impedance curve graph under each harmonic frequency is obtained, and the grid-connected resonance phenomenon of the wind power plant is further analyzed; and combining the affine model of the SVC and the node admittance complex affine expression to obtain a system modal impedance curve under each harmonic frequency, and further obtaining a correlation curve of SVC compensation capacity and system resonance frequency.
3. Correlation analysis of uncertainty and resonant frequency
Performing modal analysis on the wind power grid-connected system and establishing affine quantity
Figure BDA0003481396270000064
And a correlation curved surface diagram of the grid-connected system harmonic frequency and the grid-connected system modal impedance is shown in fig. 2. According to FIG. 2, the differences are confirmed by analyzing the location of the maximum of the modal impedance
Figure BDA0003481396270000065
Establishing SVC compensation capacity based on grid-connected system resonant frequency
Figure BDA0003481396270000066
The correlation curve with the resonant frequency of the grid-tied system is shown in fig. 3.
As shown in fig. 3, the grid-connected system resonant frequency and the SVC compensation capacity have a positive correlation. Based on this rule, how to adjust by analysis
Figure BDA0003481396270000071
And adjusting the resonant frequency.
Corresponding to even-order resonance frequency in a certain mode
Figure BDA0003481396270000072
The interval is shown in table 1, and since there is almost no even harmonic in the actual power system, table 1 is taken as the regulation
Figure BDA0003481396270000073
According to the method, the resonance frequency of the grid-connected system is adjusted to be even for several times, so that the aim of inhibiting the resonance of the grid-connected system of the wind power plant is fulfilled.
TABLE 1
Figure BDA0003481396270000074
Corresponding grid-connected system resonant frequency
Figure BDA0003481396270000075
The foregoing is directed to preferred embodiments of the present invention, other and further embodiments of the invention may be devised without departing from the basic scope thereof, and the scope thereof is determined by the claims that follow. However, any simple modification, equivalent change and modification of the above embodiments according to the technical essence of the present invention are within the protection scope of the technical solution of the present invention.

Claims (5)

1. An affine-based uncertainty modal analysis method, comprising the steps of:
(1) representing the compensation capacity of a reactive compensation device SVC in complex affine form
Figure FDA0003481396260000011
Obtaining node admittance expression of SVC (static var compensator) to wind power plant grid-connected system
Figure FDA0003481396260000012
(2) Calculating grid-connected system node admittance matrix Y at frequency ffDecomposing the eigenvalue of the model, and inverting the eigenvalue matrix Lambda to obtain a modal impedance matrix Lambda-1；
(3) Establishing affine quantities
Figure FDA0003481396260000013
Obtaining a modal impedance curve under different SVC compensation capacities and corresponding to each even-numbered resonance frequency under any resonance mode by using a correlation surface graph of the grid-connected system harmonic frequency and the grid-connected system modal impedance
Figure FDA0003481396260000014
An interval.
2. The affine-based uncertainty modal analysis method according to claim 1, wherein in the step (1), for the wind farm grid-connected system connected with the reactive compensation device SVC, when the compensation capacity of the reactive compensation device SVC changes, the resonant frequency of the wind farm grid-connected system changes; the complex affine expression of the compensation capacity of the SVC is constructed as follows:
Figure FDA0003481396260000015
wherein Q issvc,0An affine center value for a single reactive compensation device SVC; qiThe method is determined by the rated capacity of the SVC, and the complex affine expression is a noise element coefficient; epsiloniThe value of the fluctuation range of the reactive output of the SVC is epsiloni∈[-1,1]；
Compensation capacity for SVC based on complex affine form
Figure FDA0003481396260000016
Calculating a node admittance expression generated by the SVC to the wind power plant grid-connected system as follows:
Figure FDA0003481396260000017
in the formula, VBThe rated voltage of the SVC is h, and the harmonic frequency is h.
3. An affine-based uncertainty modal analysis method according to claim 2, wherein in the step (2), the modal impedance is calculated by:
wind power plant grid-connected system node admittance matrix Y with SVC connected at frequency ff：
Figure FDA0003481396260000021
If the system generates a parallel resonance phenomenon with the frequency f, the equation of the node voltage and the current is as follows:
Figure FDA0003481396260000022
wherein, YfFor the grid-connected system node admittance matrix at frequency f, VfAnd IfInjecting current vectors for the node voltage and the node, respectively; node admittance matrix YfThe decomposition is as follows:
Yf＝LΛT (5)
in the formula, Λ is a diagonal eigenvalue matrix, and Λ ═ diag (λ)1,λ2,…λk,…)；L＝[l1,l2,…lk,…]、T＝[t1,t2,…tk,…]Are left and right eigenvector matrixes respectively, and have L ═ T-1；
Substituting formula (5) for formula (4) to obtain:
Vf＝LΛ-1TIf (6)
definition of Uf＝TVfIs a modal voltage vector, Jf＝TIfIs a modal current vector, then has Uf＝Λ-1Jf(ii) a Namely:
Figure FDA0003481396260000023
in the formula, Λ-1Is a modal impedance matrix.
4. The affine-based uncertainty modal analysis method according to claim 3, wherein the specific steps of analyzing the uncertainty of the grid-connected resonance by using the modal analysis method are as follows:
1) based on a modal analysis model, calculating to obtain an SVC compensation capacity complex affine expression according to the formula (1)
Figure FDA0003481396260000024
Then, a node admittance complex affine expression is obtained through calculation according to the formula (2)
Figure FDA0003481396260000025
2) Calculating to obtain a system node admittance matrix Y(s);
3) performing eigenvalue decomposition on the node admittance matrix y(s), i.e. y(s) ═ l(s) Λ(s) t(s), so as to obtain a left eigenvector matrix l(s), a right eigenvector matrix t(s) and a diagonal eigenvalue matrix Λ(s);
4) calculating modal impedance of each mode when the system frequency is f;
5) repeating the steps 2) -4) until all harmonic frequencies which can cause system resonance are traversed, so that a system modal impedance curve graph under each harmonic frequency is obtained, and the grid-connected resonance phenomenon of the wind power plant is further analyzed; and combining the affine model of the SVC and the node admittance complex affine expression to obtain a system modal impedance curve under each harmonic frequency, and further obtaining a correlation curve of SVC compensation capacity and system resonance frequency.
5. The affine-based uncertainty modal analysis method according to claim 1, wherein in the step (3), modal analysis is performed on the wind power grid-connected system to establish an affine quantity
Figure FDA0003481396260000031
A correlation surface graph of the harmonic frequency of the grid-connected system and the modal impedance of the grid-connected system; by analyzing the position of the maximum value of the modal impedance, the difference is confirmed
Figure FDA0003481396260000032
Establishing SVC compensation capacity based on grid-connected system resonant frequency
Figure FDA0003481396260000033
A correlation curve with the resonant frequency of the grid-connected system; the resonant frequency of the grid-connected system and the SVC compensation capacity have a positive correlation relationship, and based on the rule, how to adjust the resonant frequency is analyzed
Figure FDA0003481396260000034
The size is used for realizing the adjustment of the resonant frequency; because the actual power system almost has no even harmonic, the resonance frequency of the grid-connected system is adjusted to be even, so that the aim of inhibiting the resonance of the wind power plant grid-connected system is fulfilled.
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