CN116305805A - Model construction method for eliminating stability reduced-order analysis error of large-scale converter - Google Patents
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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
- H02J3/38—Arrangements for parallely feeding a single network by two or more generators, converters or transformers
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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
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- H02J2203/20—Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]
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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
- 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
- H02J2300/22—The renewable source being solar energy
- H02J2300/24—The renewable source being solar energy of photovoltaic origin
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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
- 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
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Abstract
The invention provides a model construction method for eliminating stability reduced-order analysis errors of a large-scale converter, which comprises the steps of obtaining actual impedance transfer functions of all N grid-connected converters under d axis and q axis; obtaining admittance matrix Y xy Admittance matrix Y dq The method comprises the steps of carrying out a first treatment on the surface of the For Y dq Dividing 4 parts to obtain matrix Y 11 ，Y 12 ，Y 21 And Y 22 . Find Y 11 ‑Y 12 Y 22 ‑1 Y 21 Feature vector w of minimum feature value. And constructing a reference impedance transfer function of the grid-connected converter under the d axis and a reference impedance transfer function of the grid-connected converter under the q axis. A set of parameter values is selected for the reference impedance transfer function. Calculating the difference between the actual impedance transfer function and the reference impedance transfer function of each converter: the reference impedance transfer function and its selected parameters are taken as large if the following conditions are satisfiedAnd (5) a model for stability reduced-order analysis of the large-scale converter is repeated in the opposite directions. The method and the device reserve the rapidity of the reduced-order analysis method and improve the accuracy of the analysis result.
Description
Technical Field
The invention provides a model construction method for eliminating stability reduced-order analysis errors of a large-scale converter, and belongs to the technical field of new energy.
Background
In recent years, new energy is rapidly developed, and a new energy unit represented by a photovoltaic and a fan mainly performs AC-DC conversion through a converter so as to realize grid-connected power transmission, thereby forming a power system with a large-scale converter. Because of the high model dimension of power electronic devices such as converters, the dimension of the system is obviously increased after large-scale access, which leads to the problem that a traditional state space-based mode analysis method faces dimension disaster. Therefore, it is a common method to analyze the stability of a large-scale inverter using a reduced-order analysis method. However, the reduced order analysis method often adopts factory default parameters of a device manufacturer, rather than actual parameters of the device, which may cause errors in the reduced order analysis result.
In the prior art, factory default parameters of equipment manufacturers are selected as actual parameters of equipment, so that the rapidity of modeling and stability analysis is improved, but errors caused by inconsistent default parameters and actual parameters are easily caused. The current accurate stability analysis method is a mode analysis method based on a full-order model, but with the increase of the number of grid-connected converters, the method is confronted with the problem of calculation time surge, and is not beneficial to high-efficiency determination of stability. Therefore, no related method can simultaneously realize the high level reduction and the accurate analysis of the large-scale converter.
Disclosure of Invention
The invention provides a model construction method for eliminating stability reduced-order analysis errors of a large-scale converter, which realizes that the accuracy of a reduced-order analysis result is improved by selecting proper model parameters, and avoids an additional error compensation calculation process.
The invention considers the directions of parameter differences among different converters, and provides a model construction method for eliminating the stability reduced-order analysis errors of a large-scale converter based on the principle that the differences in different directions can be offset, so that the precision of a reduced-order analysis result is improved by selecting proper model parameters, and an additional error compensation calculation process is avoided.
The specific technical scheme is as follows:
a model construction method for eliminating stability reduced-order analysis errors of a large-scale converter comprises the following steps:
(1) Obtaining the actual impedance transfer function H of all N grid-connected converters under d axis dk (s) and its actual impedance transfer function H in q-axis qk (s)，k＝1,2,3…N。
(2) Network topology structure and parameters based on grid connection of converter to obtain admittance matrix Y of alternating current network under x-Y coordinate system xy ；
(3) Based on Y xy Obtaining admittance matrix Y of alternating current network under d-q coordinate system dq ；
(4) Considering the characteristic that the reactive power output of the grid-connected converter is zero, for Y dq The segmentation is performed as follows:
wherein (1), (2), (3) and (4) represent the matrix Y dq Dividing into 4 parts and obtaining a matrix Y based on the four parts 11 ，Y 12 ，Y 21 And Y 22 。
(5) Find Y 11 -Y 12 Y 22 -1 Y 21 Feature vector w of minimum feature value.
(6) Constructing a reference impedance transfer function H of the grid-connected converter under d axis do (s) and a reference impedance transfer function H under q-axis qo (s)。
(7) A set of parameter values is selected for the reference impedance transfer function.
(8) Calculating the difference between the actual impedance transfer function and the reference impedance transfer function of each converter:
ΔH dk ＝H dk (s)-H do (s)，ΔH qk ＝H qk (s)-H qo (s)
(9) And (3) if the following conditions are met, taking the reference impedance transfer function and the selected parameters thereof as a model for stability reduced-order analysis of the large-scale converter, and otherwise, repeating the steps (7) - (9).
Wherein, diag () represents diagonalizing N impedance transfer functions, w k The kth element in w is represented, T is represented by the transpose of the vector, || is represented by the absolute value, and e is represented by the set error threshold.
The model construction method for eliminating the stability reduced-order analysis error of the large-scale converter provided by the invention is used for reserving the rapidity of the reduced-order analysis method and improving the accuracy of the analysis result.
Drawings
FIG. 1 is a DC voltage control section of an embodiment;
FIG. 2 is a reactive power control link of an embodiment;
fig. 3 illustrates an embodiment in which a plurality of converters are incorporated into an ac system via a complex network;
FIG. 4 is a comparison of root trajectories of different reduced order models according to an embodiment.
Detailed Description
The specific technical scheme of the invention is described by combining the embodiments.
A model construction method for eliminating stability reduced-order analysis errors of a large-scale converter comprises the following steps:
(1) Obtaining the actual impedance transfer function H of all N grid-connected converters under d axis dk (s) and its actual impedance transfer function H in q-axis qk (s)，k＝1,2,3…N。
For example: taking one converter as an example, the impedance transfer function calculation flow is as follows:
wherein the upper corner mark ref represents the reference value, K, of the control variable p And K i Is the proportional and integral coefficient of the outer loop controller,
and->
Is the proportional and integral coefficient of the inner loop controller, X is the filter reactance of the AC side of the converter, < ->
Is d-axis alternating current output by the converter, +.>
Is the q-axis alternating current output by the converter, +.>
Is the DC side voltage of the inverter, +.>
Ac voltage of grid-connected point of current converter>
Is the ac voltage at the output port of the converter, +.>
And->
The d-axis voltage of the grid-connected point of the converter and the d-axis voltage of the output port.
For the control structure in fig. 1, the impedance transfer function H of the converter in the d-axis can be obtained d (s) is:
wherein, the liquid crystal display device comprises a liquid crystal display device,
ω 0 the synchronous angular velocity is represented, C is the direct current side capacitance of the converter, and the subscript 0 represents the steady state value of the variable.
Wherein K is pq And K iq Is the proportional and integral coefficient of the reactive outer loop controller,
and->
Is the proportional and integral coefficient of the inner loop controller,/->
And->
Is the q-axis voltage of the grid-connected point of the converter and the q-axis voltage of the output port. Considering the rapidity of the phase-locked loop under strong connection, there are: />
Where Δ represents the amount of change in the state variable.
For the control structure in fig. 2, the impedance transfer function H of the inverter in q-axis can be obtained q (s) is:
wherein, the liquid crystal display device comprises a liquid crystal display device,
(2) Network topology structure and parameters based on grid connection of converter to obtain admittance matrix Y of alternating current network under x-Y coordinate system xy ；
(3) Based on Y xy Obtaining admittance matrix Y of alternating current network under d-q coordinate system dq ；
For example, by Y xy Obtaining Y dq The flow of (2) is as follows:
it is known that:
wherein (1)>
Representing the current injected into the ac network by a plurality of converters in the x-y coordinate system,
and the grid-connected point alternating current voltage of the converters in the x-y coordinate system is represented.
It is known that:
wherein T is pll Representing a transformation relation matrix of an x-y coordinate system to a d-q coordinate system,/for>
Representing the current injected into the ac network by a plurality of converters in dq coordinate system,/for each converter>
Represents the grid-connected point alternating current voltage of a plurality of converters in dq coordinate system, +.>
Representing T pll Is a matrix of inverse of (a).
Then:
wherein T is xy Matrix formed by partial derivative of grid-connected point phase angle of converter to grid-connected point voltage under x-y coordinate system Iθ ，C xyθ And C dqθ Respectively vectors
And->
Diagonalized matrix, < >>
Representing T pll Is the inverse of (c).
(4) Taking into account thatThe reactive output of the grid-connected converter is zero, for Y dq The segmentation is performed as follows:
wherein (1), (2), (3) and (4) represent the matrix Y dq Dividing into 4 parts and obtaining a matrix Y based on the four parts 11 ，Y 12 ，Y 21 And Y 22 。
(5) Find Y 11 -Y 12 Y 22 -1 Y 21 Feature vector w of minimum feature value.
(6) Constructing a reference impedance transfer function H of the grid-connected converter under d axis do (s) and a reference impedance transfer function H under q-axis qo (s)。
(7) A set of parameter values is selected for the reference impedance transfer function.
(8) Calculating the difference between the actual impedance transfer function and the reference impedance transfer function of each converter:
ΔH dk ＝H dk (s)-H do (s)，ΔH qk ＝H qk (s)-H qo (s)
(9) And (3) if the following conditions are met, taking the reference impedance transfer function and the selected parameters thereof as a model for stability reduced-order analysis of the large-scale converter, and otherwise, repeating the steps (7) - (9).
Wherein, diag () represents diagonalizing N impedance transfer functions, w k The kth element in w is represented, T is represented by the transpose of the vector, || is represented by the absolute value, and e is represented by the set error threshold.
According to the invention, the rapidity of the reduced-order analysis method can be kept, and the accuracy of the analysis result can be improved. The calculations are shown below:
in fig. 3, a total of 16 converters are integrated into the ac system via a complex network, and parameters of each converter are different, as shown in table 1.
TABLE 1 actual converter control parameters
The parameters of the j-th VSC dc voltage control link in table 1 are: k (K) pj ＝k dj K p0 And K ij ＝k dj K i0 Wherein k is dj Representing the ratio of the current transformer to the factory parameters of the 9 th converter, K p0 And K i0 The scale factor and the integral factor of the factory parameters of the 9 th converter are respectively shown, and j=1-16.
As shown in fig. 4, when the factory model and parameters of the 1 st or 16 th inverter are selected as the stability analysis model, the analysis result has a large deviation from the actual result, but according to the method proposed by the present patent, the factory model and parameters of the 8 th inverter are selected as the stability analysis model, and the result is very close to the actual result and is within the set error (2%). The method provided by the invention can ensure the rapidity of the reduced order calculation and can also improve the accuracy of the calculation result.
Claims (1)
1. The model construction method for eliminating the stability reduced-order analysis error of the large-scale converter is characterized by comprising the following steps of:
(1) Obtaining the actual impedance transfer function H of all N grid-connected converters under d axis dk (s) and its actual impedance transfer function H in q-axis qk (s)，k＝1,2,3…N；
(2) Network topology structure and parameters based on grid connection of converter to obtain admittance matrix Y of alternating current network under x-Y coordinate system xy ；
(3) Based on Y xy Obtaining admittance matrix Y of alternating current network under d-q coordinate system dq ；
(4) Considering the characteristic that the reactive power output of the grid-connected converter is zero, for Y dq The segmentation is performed as follows:
wherein (1), (2), (3) and (4) represent the matrix Y dq Dividing into 4 parts and obtaining a matrix Y based on the four parts 11 ，Y 12 ，Y 21 And Y 22 ；
(5) Find Y 11 -Y 12 Y 22 -1 Y 21 A feature vector w of the minimum feature value;
(6) Constructing a reference impedance transfer function H of the grid-connected converter under d axis do (s) and a reference impedance transfer function H under q-axis qo (s)；
(7) Selecting a set of parameter values for a reference impedance transfer function;
(8) Calculating the difference between the actual impedance transfer function and the reference impedance transfer function of each converter:
ΔH dk ＝H dk (s)-H do (s)，ΔH qk ＝H qk (s)-H qo (s)
(9) If the following conditions are met, taking the reference impedance transfer function and the selected parameters thereof as a model for stability reduced-order analysis of the large-scale converter, otherwise, repeating the steps (7) - (9);
|-w[Y 12 Y 22 -1 Diag(ΔH qk )]w T |＜e，
wherein, diag () represents diagonalizing N impedance transfer functions, w k Represents the kth element in w and, T represents the transpose of the vector, || represents taking the absolute value, and e represents the set error threshold.
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