CN114284998A - A four-winding induction filter transformer winding impedance matching method and system - Google Patents

A four-winding induction filter transformer winding impedance matching method and system Download PDF

Info

Publication number
CN114284998A
CN114284998A CN202111333458.5A CN202111333458A CN114284998A CN 114284998 A CN114284998 A CN 114284998A CN 202111333458 A CN202111333458 A CN 202111333458A CN 114284998 A CN114284998 A CN 114284998A
Authority
CN
China
Prior art keywords
winding
transformer
filter transformer
impedance
current
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Granted
Application number
CN202111333458.5A
Other languages
Chinese (zh)
Other versions
CN114284998B (en
Inventor
刘乾易
杨伊
刘芳
邹润民
李勇
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Central South University
Original Assignee
Central South University
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Central South University filed Critical Central South University
Priority to CN202111333458.5A priority Critical patent/CN114284998B/en
Publication of CN114284998A publication Critical patent/CN114284998A/en
Application granted granted Critical
Publication of CN114284998B publication Critical patent/CN114284998B/en
Active legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Images

Classifications

    • 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
    • Y02E40/40—Arrangements for reducing harmonics

Landscapes

  • Supply And Distribution Of Alternating Current (AREA)

Abstract

本发明实施例提供一种四绕组感应滤波变压器绕组阻抗匹配方法和系统，基于变压器的单相电路模型，根据多绕组电压传递理论、磁势平衡原理和基尔霍夫电流电压定理，建立了四绕组感应滤波变压器的数学解耦模型，获得了四绕组感应滤波变压器网侧电流的表达式，分析得到四绕组感应滤波变压器所需的阻抗条件；利用了多绕组电压传递理论及磁势平衡原理，得到变压器网侧电流相关的数学解耦模型，计算出网侧电流表达式，根据表达式分析得到四绕组感应滤波变压器双重零阻抗条件。

Figure 202111333458

Embodiments of the present invention provide a four-winding induction filter transformer winding impedance matching method and system. Based on the single-phase circuit model of the transformer, according to the multi-winding voltage transfer theory, the magnetic potential balance principle and Kirchhoff's current-voltage theorem, four The mathematical decoupling model of the winding induction filter transformer is used to obtain the expression of the grid-side current of the four-winding induction filter transformer, and the impedance conditions required for the four-winding induction filter transformer are analyzed. The mathematical decoupling model related to the transformer grid-side current is obtained, the grid-side current expression is calculated, and the double zero-impedance condition of the four-winding induction filter transformer is obtained according to the expression analysis.

Figure 202111333458

Description

Four-winding induction filter transformer winding impedance matching method and system
Technical Field
The embodiment of the invention relates to the technical field of induction filtering, in particular to a method and a system for impedance matching of a winding of a four-winding induction filtering transformer.
Background
The current generated by electronic equipment such as a rectifier, an inverter and the like in each half period is not in proportion to the applied voltage, so that a non-sinusoidal distortion waveform appears, a large amount of higher harmonics are generated in a power system by the equipment, the running condition of a power grid is worsened to a great extent, the harmonic pollution of the power grid is serious, and the harmonics circulate in a transformer, so that the service life of the transformer is shortened, the system loss is increased, and even system faults can be caused.
The induction filtering is an effective power filtering method, a newly added filtering winding is designed through special impedance matching, reverse magnetic flux induced by load harmonic magnetic flux on the side of the filtering winding is offset, and load harmonic is damped on the filtering side and cannot be transmitted to the transformer network side.
The winding impedance matching method is to obtain the impedance design condition required by damping load harmonic current by analyzing the expression of the network side current and the load current. The existing impedance matching design method of the induction filter transformer is mainly used for a three-winding induction filter transformer, and four windings are rarely involved; and when a transformer equivalent circuit model is established, loads are mostly equivalent to current sources, and the method is low in accuracy and effectiveness.
Disclosure of Invention
The embodiment of the invention provides a winding impedance matching method and system for a four-winding induction filter transformer, which are used for solving the problems that when a transformer equivalent circuit model is established in the prior art, loads are mostly equivalent to current sources, and the existing induction filter transformer impedance matching design method is low in accuracy and effectiveness.
In order to solve the above technical problem, in a first aspect, an embodiment of the present invention provides a winding impedance matching method for a four-winding induction filter transformer, where the four-winding induction filter transformer is arranged in a four-winding manner, and includes a first winding, a second winding, a third winding, and a fourth winding; the first winding is a net side winding and adopts a star connection method; the second winding is a filter winding and adopts a delta connection method; the third winding is a load winding and adopts a star connection method; the fourth winding is a load winding and adopts a delta connection method; the method comprises the following steps:
determining the terminal voltage of each winding based on a single-phase circuit model of a transformer and a multi-winding voltage transfer theory, and determining the current-voltage relationship between the windings based on a magnetomotive balance principle and a kirchhoff current-voltage theorem; establishing a mathematical decoupling model of the four-winding induction filter transformer;
and determining the network side current of the four-winding induction filter transformer based on the mathematical decoupling model, and determining the impedance required by the four-winding induction filter transformer based on the network side current.
Preferably, the expression of the terminal voltage of each winding is as follows:
Figure BDA0003349786460000021
in the above formula, U1、U2、U3、U4The terminal voltages of the first winding, the second winding, the third winding and the fourth winding are respectively; i is1～I4The current of the first winding end, the second winding end, the third winding end and the fourth winding end respectively; e is the induced electromotive force of the main magnetic flux; mxyIs the mutual inductance between the windings x, y, x being 1,2,3,4, y being 1,2,3, 4; l is1～L4Self-inductance of the first winding, the second winding, the third winding and the fourth winding respectively; r1～R4Respectively the resistances of the first winding, the second winding, the third winding and the fourth winding.
Preferably, after determining the terminal voltage of each winding based on the single-phase circuit model of the transformer and the multi-winding voltage transfer theory, determining a voltage drop expression of each winding and the filter winding:
Figure BDA0003349786460000022
setting a short-circuit resistance R between winding x and winding ykxy＝Rx+RyA short-circuit reactance of Xkxy＝ω(Lx+Ly-Mxy-Myx) Then short circuit impedance Zkxy＝Rkxy+jXkxy(ii) a Setting the equivalent leakage impedance of winding x to Zxyz＝(Zkxy+Zkxz-Zkyz) /2, and Z is presentkxy＝Zkyx、Zxyz＝Zxzy(x, y, z ≠ 1,2,3, 4; x ≠ y ≠ z); the voltage drop expression of each winding and the filter winding is simplified as follows:
Figure BDA0003349786460000023
preferably, the current-voltage relationship among the windings of the four-winding induction filter transformer is as follows:
I1+I2+I3+I4＝0
Figure BDA0003349786460000031
in the above formula, UsIs the power grid background voltage; i isL3、IL4The load equivalent current sources are a third winding and a fourth winding; zgridIs the system equivalent impedance; zfIs the equivalent impedance of the filter device; zL3、ZL4Load equivalent impedance of the third winding and the fourth winding; the first winding side power grid is equivalent to the equivalent impedance of a grid side voltage source series system; the filtering device of the second winding is a group of single-tuned filters with full-tuning design, and the equivalent impedance is filtering equivalent impedance; the loads connected with the third winding and the fourth winding are equivalent to load current source parallel load equivalent impedance through the Noton theorem.
Preferably, the establishing of the mathematical decoupling model of the four-winding induction filter transformer specifically includes:
obtaining the four-winding induction filtering transformer based on the current-voltage relation among the windings of the four-winding induction filtering transformer and the voltage drop expression of the windings and the filtering windingNetwork side current I of voltage transformer1Related mathematical decoupling models:
Figure BDA0003349786460000032
preferably, the grid side current I1The expression is as follows:
Figure BDA0003349786460000033
preferably, determining the impedance required by the four-winding induction filter transformer based on the grid-side current specifically includes:
at harmonic ZfUnder the condition of 0, the catalyst contains IL3、IL4The expression of (1) is 0 to eliminate the influence of load harmonic current on the power grid;
let ZL3[Z214Z234-Z213(ZL4+Zk24)]、ZL4[Z213Z234-Z214(ZL3+Zk23)]Is 0 and satisfies Z213＝Z2140; obtaining a network side current expression after impedance matching:
Figure BDA0003349786460000041
in a second aspect, an embodiment of the present invention provides a winding impedance matching system for a four-winding induction filter transformer, where the four-winding induction filter transformer is arranged in a four-winding manner, and includes a first winding, a second winding, a third winding, and a fourth winding; the first winding is a net side winding and adopts a star connection method; the second winding is a filter winding and adopts a delta connection method; the third winding is a load winding and adopts a star connection method; the fourth winding is a load winding and adopts a delta connection method; the system comprises:
the mathematical decoupling model establishing module is used for determining the terminal voltage of each winding based on a single-phase circuit model of the transformer and a multi-winding voltage transfer theory and determining the current-voltage relation among the windings based on a magnetic potential balance principle and a kirchhoff current-voltage theorem; establishing a mathematical decoupling model of the four-winding induction filter transformer;
and the impedance matching module is used for determining the network side current of the four-winding induction filter transformer based on the mathematical decoupling model and determining the impedance required by the four-winding induction filter transformer based on the network side current. In a third aspect, an embodiment of the present invention provides an electronic device, including a memory, a processor, and a computer program stored in the memory and executable on the processor, where the processor implements the steps of the four-winding inductive filter transformer winding impedance matching method according to the embodiment of the first aspect of the present invention when executing the program.
In a fourth aspect, embodiments of the present invention provide a non-transitory computer-readable storage medium, on which a computer program is stored, the computer program, when executed by a processor, implementing the steps of the four-winding inductive filter transformer winding impedance matching method according to embodiments of the first aspect of the present invention.
According to the winding impedance matching method and system for the four-winding induction filter transformer, a mathematical decoupling model of the four-winding induction filter transformer is established based on a single-phase circuit model of the transformer according to a multi-winding voltage transfer theory, a magnetomotive balance principle and a kirchhoff current-voltage theorem, an expression of network side current of the four-winding induction filter transformer is obtained, and impedance conditions required by the four-winding induction filter transformer are obtained through analysis; by utilizing a multi-winding voltage transfer theory and a magnetic potential balance principle, a mathematical decoupling model related to the network side current of the transformer is obtained, a network side current expression is calculated, and the dual zero impedance condition of the four-winding induction filter transformer is obtained according to the expression analysis.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the description of the embodiments or the prior art will be briefly described below, and it is obvious that the drawings in the following description are some embodiments of the present invention, and those skilled in the art can also obtain other drawings according to the drawings without creative efforts.
FIG. 1 is a flow chart of a four-winding inductive filter transformer winding impedance matching method according to an embodiment of the present invention;
FIG. 2 is a schematic diagram of a single-phase circuit model of a four-winding induction filter transformer according to an embodiment of the invention;
fig. 3 is a schematic physical structure diagram according to an embodiment of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the embodiments of the present invention clearer, the technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are some, but not all, embodiments of the present invention. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
In the embodiment of the present application, the term "and/or" is only one kind of association relationship describing an associated object, and means that three relationships may exist, for example, a and/or B may mean: a exists alone, A and B exist simultaneously, and B exists alone.
The terms "first" and "second" in the embodiments of the present application are used for descriptive purposes only and are not to be construed as indicating or implying relative importance or implicitly indicating the number of technical features indicated. Thus, a feature defined as "first" or "second" may explicitly or implicitly include at least one such feature. In the description of the present application, the terms "comprise" and "have", as well as any variations thereof, are intended to cover a non-exclusive inclusion. For example, a system, product or apparatus that comprises a list of elements or components is not limited to only those elements or components but may alternatively include other elements or components not expressly listed or inherent to such product or apparatus. In the description of the present application, "plurality" means at least two, e.g., two, three, etc., unless explicitly specifically limited otherwise.
Reference herein to "an embodiment" means that a particular feature, structure, or characteristic described in connection with the embodiment can be included in at least one embodiment of the application. The appearances of the phrase in various places in the specification are not necessarily all referring to the same embodiment, nor are separate or alternative embodiments mutually exclusive of other embodiments. It is explicitly and implicitly understood by one skilled in the art that the embodiments described herein can be combined with other embodiments.
The existing impedance matching design method of the induction filter transformer is mainly used for a three-winding induction filter transformer, and four windings are rarely involved; and when a transformer equivalent circuit model is established, loads are mostly equivalent to current sources, and the method is low in accuracy and effectiveness.
Therefore, the embodiment of the invention provides a winding impedance matching method and system for a four-winding induction filter transformer, which utilize a multi-winding voltage transfer theory and a magnetomotive force balance principle to obtain a mathematical decoupling model related to the network side current of the transformer, calculate a network side current expression, and analyze according to the expression to obtain the dual zero impedance condition of the four-winding induction filter transformer. The following description and description will proceed with reference being made to various embodiments.
Fig. 1 is a diagram illustrating a winding impedance matching method for a four-winding induction filter transformer according to an embodiment of the present invention, where the four-winding induction filter transformer is arranged in a four-winding manner, and includes a first winding, a second winding, a third winding, and a fourth winding; the first winding is a net side winding and adopts a star connection method; the second winding is a filter winding and adopts a delta connection method; the third winding is a load winding and adopts a star connection method; the fourth winding is a load winding and adopts a delta connection method; the method comprises the following steps:
determining the terminal voltage of each winding based on a single-phase circuit model of a transformer and a multi-winding voltage transfer theory, and determining the current-voltage relationship between the windings based on a magnetomotive balance principle and a kirchhoff current-voltage theorem; establishing a mathematical decoupling model of the four-winding induction filter transformer;
and determining the network side current of the four-winding induction filter transformer based on the mathematical decoupling model, and determining the impedance required by the four-winding induction filter transformer based on the network side current.
In the embodiment, a mathematical decoupling model of the four-winding induction filter transformer is established based on a single-phase circuit model of the transformer according to a multi-winding voltage transfer theory, a magnetic potential balance principle and a kirchhoff current-voltage theorem, an expression of network side current of the four-winding induction filter transformer is obtained, and impedance conditions required by the four-winding induction filter transformer are obtained through analysis; by utilizing a multi-winding voltage transfer theory and a magnetic potential balance principle, a mathematical decoupling model related to the network side current of the transformer is obtained, a network side current expression is calculated, and the dual zero impedance condition of the four-winding induction filter transformer is obtained according to the expression analysis.
As shown in fig. 2, the first winding side grid is equivalent to a grid side voltage source series system equivalent impedance; the filtering device of the second winding is a group of single-tuned filters with full-tuning design, and the equivalent impedance is filtering equivalent impedance; and the loads connected with the third winding and the fourth winding are equivalent to load current source parallel load equivalent impedance through the Noton theorem, and all variables are converted to the primary winding side for calculation.
According to the voltage transfer theory of the multi-winding transformer, the expression of the terminal voltage of each winding is as follows:
Figure BDA0003349786460000071
in the above formula, U1、U2、U3、U4The terminal voltages of the first winding, the second winding, the third winding and the fourth winding are respectively; i is1～I4The current of the first winding end, the second winding end, the third winding end and the fourth winding end respectively; e is the induced electromotive force of the main magnetic flux; mxyIs the mutual inductance between the windings x, y, x being 1,2,3,4, y being 1,2,3, 4; l is1～L4Self-inductance of the first winding, the second winding, the third winding and the fourth winding respectively; r1～R4Respectively the resistances of the first winding, the second winding, the third winding and the fourth winding.
Subtracting the latter equation from each formula in the formula (1) to obtain a voltage drop expression of each winding and the filter winding, and determining the voltage drop expression of each winding and the filter winding:
Figure BDA0003349786460000072
setting a short-circuit resistance R between winding x and winding ykxy＝Rx+RyA short-circuit reactance of Xkxy＝ω(Lx+Ly-Mxy-Myx) Then short circuit impedance Zkxy＝Rkxy+jXkxy(ii) a Setting the equivalent leakage impedance of winding x to Zxyz＝(Zkxy+Zkxz-Zkyz) /2, and Z is presentkxy＝Zkyx、Zxyz＝Zxzy(x, y, z ≠ 1,2,3, 4; x ≠ y ≠ z); the voltage drop expression of each winding and the filter winding is simplified as follows:
Figure BDA0003349786460000073
preferably, the current-voltage relationship among the windings of the four-winding induction filter transformer is as follows:
I1+I2+I3+I4＝0 (4)
Figure BDA0003349786460000074
in the above formula, UsIs the power grid background voltage; i isL3、IL4The load equivalent current sources are a third winding and a fourth winding; zgridIs the system equivalent impedance; zfIs the equivalent impedance of the filter device; zL3、ZL4Load equivalent impedance of the third winding and the fourth winding; wherein, the flow rate of the water is controlled by the control unit.
Based on the current-voltage relation among the windings of the four-winding induction filter transformer and the voltage drop expression of the windings and the filter winding, namely, carrying formulas 4 and 5 into formula 3, and eliminating U1、U2、I2、I3、I4Parallel shift arrangement is carried out to obtain the network side current I of the four-winding induction filter transformer1Related mathematical decoupling models:
Figure BDA0003349786460000081
the current I at the network side can be obtained by the determinant correlation knowledge after the determinant transformation1The expression is as follows:
Figure BDA0003349786460000082
the following analysis can be made by using the derived network side current expression of the four-winding induction filter transformer: firstly, under harmonic conditions, in order to implement an inductive filtering technique, eliminating the effect of the load harmonic current on the grid, I1I in the expressionL3、IL4The components should all be 0.
Then, according to the filter characteristics, Z is set under harmonic conditionsfTo be 0, make IL3、IL4Component (I) is 0L3、IL4Is expressed as 0), and the remainder Z isL3[Z214Z234-Z213(ZL4+Zk24)]、ZL4[Z213Z234-Z214(ZL3+Zk23)]Should also be 0, wherein ZL3、ZL4Is not 0 and is difficult to determine, so Z needs to be satisfied213＝Z214＝0。
And (7) carrying the analyzed condition into formula (7), so as to obtain a network side current expression after impedance matching:
Figure BDA0003349786460000083
as can be seen from the expression, the load harmonic current is completely damped and cannot be transmitted to the grid side.
The impedance matching calculation method utilizes a multi-winding voltage transfer theory and a magnetic potential balance principle to obtain a mathematical decoupling model related to the network side current of the transformer, calculates a network side current expression, and obtains a dual zero impedance condition of the four-winding induction filter transformer according to the expression.
The embodiment of the invention also provides a winding impedance matching system of the four-winding induction filter transformer, based on the winding impedance matching method of the four-winding induction filter transformer in the embodiments, the four-winding induction filter transformer is arranged in a four-winding mode, and the four-winding induction filter transformer comprises a first winding, a second winding, a third winding and a fourth winding; the first winding is a net side winding and adopts a star connection method; the second winding is a filter winding and adopts a delta connection method; the third winding is a load winding and adopts a star connection method; the fourth winding is a load winding and adopts a delta connection method; the system comprises:
the mathematical decoupling model establishing module is used for determining the terminal voltage of each winding based on a single-phase circuit model of the transformer and a multi-winding voltage transfer theory and determining the current-voltage relation among the windings based on a magnetic potential balance principle and a kirchhoff current-voltage theorem; establishing a mathematical decoupling model of the four-winding induction filter transformer;
and the impedance matching module is used for determining the network side current of the four-winding induction filter transformer based on the mathematical decoupling model and determining the impedance required by the four-winding induction filter transformer based on the network side current.
Based on the same concept, an embodiment of the present invention further provides an entity structure schematic diagram, as shown in fig. 3, the server may include: a processor (processor)810, a communication Interface 820, a memory 830 and a communication bus 840, wherein the processor 810, the communication Interface 820 and the memory 830 communicate with each other via the communication bus 840. Processor 810 may invoke logic instructions in memory 830 to perform the steps of the four-winding inductive filter transformer winding impedance matching method as described in the various embodiments above. Examples include:
determining the terminal voltage of each winding based on a single-phase circuit model of a transformer and a multi-winding voltage transfer theory, and determining the current-voltage relationship between the windings based on a magnetomotive balance principle and a kirchhoff current-voltage theorem; establishing a mathematical decoupling model of the four-winding induction filter transformer;
and determining the network side current of the four-winding induction filter transformer based on the mathematical decoupling model, and determining the impedance required by the four-winding induction filter transformer based on the network side current.
In addition, the logic instructions in the memory 830 may be implemented in software functional units and stored in a computer readable storage medium when the logic instructions are sold or used as independent products. Based on such understanding, the technical solution of the present invention may be embodied in the form of a software product, which is stored in a storage medium and includes instructions for causing a computer device (which may be a personal computer, a server, or a network device) to execute all or part of the steps of the method according to the embodiments of the present invention. And the aforementioned storage medium includes: a U-disk, a removable hard disk, a Read-Only Memory (ROM), a Random Access Memory (RAM), a magnetic disk or an optical disk, and other various media capable of storing program codes.
Based on the same concept, embodiments of the present invention further provide a non-transitory computer-readable storage medium, which stores a computer program, where the computer program includes at least one code, where the at least one code is executable by a master control device to control the master control device to implement the steps of the four-winding inductive filter transformer winding impedance matching method according to the embodiments. Examples include:
determining the terminal voltage of each winding based on a single-phase circuit model of a transformer and a multi-winding voltage transfer theory, and determining the current-voltage relationship between the windings based on a magnetomotive balance principle and a kirchhoff current-voltage theorem; establishing a mathematical decoupling model of the four-winding induction filter transformer;
and determining the network side current of the four-winding induction filter transformer based on the mathematical decoupling model, and determining the impedance required by the four-winding induction filter transformer based on the network side current.
Based on the same technical concept, the embodiment of the present application further provides a computer program, which is used to implement the above method embodiment when the computer program is executed by the main control device.
The program may be stored in whole or in part on a storage medium packaged with the processor, or in part or in whole on a memory not packaged with the processor.
Based on the same technical concept, the embodiment of the present application further provides a processor, and the processor is configured to implement the above method embodiment. The processor may be a chip.
In summary, according to the winding impedance matching method and system for the four-winding induction filter transformer provided by the embodiments of the present invention, based on a single-phase circuit model of the transformer, a mathematical decoupling model of the four-winding induction filter transformer is established according to a multi-winding voltage transfer theory, a magnetomotive balance principle and a kirchhoff current-voltage theorem, an expression of a network-side current of the four-winding induction filter transformer is obtained, and an impedance condition required by the four-winding induction filter transformer is obtained through analysis; by utilizing a multi-winding voltage transfer theory and a magnetic potential balance principle, a mathematical decoupling model related to the network side current of the transformer is obtained, a network side current expression is calculated, and the dual zero impedance condition of the four-winding induction filter transformer is obtained according to the expression analysis.
The embodiments of the present invention can be arbitrarily combined to achieve different technical effects.
In the above embodiments, the implementation may be wholly or partially realized by software, hardware, firmware, or any combination thereof. When implemented in software, may be implemented in whole or in part in the form of a computer program product. The computer program product includes one or more computer instructions. When the computer program instructions are loaded and executed on a computer, the procedures or functions described in accordance with the present application are generated, in whole or in part. The computer may be a general purpose computer, a special purpose computer, a network of computers, or other programmable device. The computer instructions may be stored in a computer readable storage medium or transmitted from one computer readable storage medium to another, for example, the computer instructions may be transmitted from one website, computer, server, or data center to another website, computer, server, or data center by wire (e.g., coaxial cable, fiber optic, digital subscriber line) or wirelessly (e.g., infrared, wireless, microwave, etc.). The computer-readable storage medium can be any available medium that can be accessed by a computer or a data storage device, such as a server, a data center, etc., that incorporates one or more of the available media. The usable medium may be a magnetic medium (e.g., floppy disk, hard disk, magnetic tape), an optical medium (e.g., DVD), or a semiconductor medium (e.g., Solid state disk), among others.
One of ordinary skill in the art will appreciate that all or part of the processes in the methods of the above embodiments may be implemented by hardware related to instructions of a computer program, which may be stored in a computer-readable storage medium, and when executed, may include the processes of the above method embodiments. And the aforementioned storage medium includes: various media capable of storing program codes, such as ROM or RAM, magnetic or optical disks, etc.
Finally, it should be noted that: the above examples are only intended to illustrate the technical solution of the present invention, but not to limit it; although the present invention has been described in detail with reference to the foregoing embodiments, it will be understood by those of ordinary skill in the art that: the technical solutions described in the foregoing embodiments may still be modified, or some technical features may be equivalently replaced; and such modifications or substitutions do not depart from the spirit and scope of the corresponding technical solutions of the embodiments of the present invention.

Claims (10)

1.一种四绕组感应滤波变压器绕组阻抗匹配方法，所述四绕组感应滤波变压器采用四绕组式排布，所述四绕组感应滤波变压器包括第一绕组、第二绕组第三绕组和第四绕组；所述第一绕组为网侧绕组，采用星形接法；所述第二绕组为滤波绕组，采用三角形接法；所述第三绕组为负载绕组，采用星形接法；所述第四绕组为负载绕组，采用三角形接法；其特征在于，所述方法包括：1. A four-winding induction filter transformer winding impedance matching method, the four-winding induction filter transformer adopts a four-winding arrangement, and the four-winding induction filter transformer comprises a first winding, a second winding, a third winding and a fourth winding ; The first winding is a grid-side winding, which adopts a star connection; the second winding is a filter winding, which adopts a delta connection; the third winding is a load winding, which adopts a star connection; the fourth The winding is a load winding and adopts a delta connection method; it is characterized in that the method includes: 基于变压器的单相电路模型以及多绕组电压传递理论确定各绕组端电压，基于磁势平衡原理和基尔霍夫电流电压定理确定各绕组间的电流电压关系；并建立四绕组感应滤波变压器的数学解耦模型；The terminal voltage of each winding is determined based on the single-phase circuit model of the transformer and the multi-winding voltage transfer theory, and the current-voltage relationship between the windings is determined based on the principle of magnetic potential balance and Kirchhoff's current-voltage theorem; and the mathematics of the four-winding induction filter transformer is established. decoupled model; 基于所述数学解耦模型确定所述四绕组感应滤波变压器的网侧电流，基于所述网侧电流确定所述四绕组感应滤波变压器所需的阻抗。The grid-side current of the four-winding inductive filter transformer is determined based on the mathematical decoupling model, and the impedance required by the four-winding inductive filter transformer is determined based on the grid-side current. 2.根据权利要求1所述的四绕组感应滤波变压器绕组阻抗匹配方法，其特征在于，各绕组端电压的表达式为：2. the four-winding induction filter transformer winding impedance matching method according to claim 1, is characterized in that, the expression of each winding terminal voltage is:
Figure FDA0003349786450000011
Figure FDA0003349786450000011
 上式中，U1、U2、U3、U4分别为第一绕组、第二绕组、第三绕组、第四绕组端电压；I1～I4分别为第一绕组、第二绕组、第三绕组、第四绕组端电流；E为主磁通感应电动势；Mxy为绕组x,y之间的互感，x＝1，2，3，4，y＝1，2，3，4；L1～L4分别为第一绕组、第二绕组、第三绕组、第四绕组的自感；R1～R4分别为第一绕组、第二绕组、第三绕组、第四绕组的电阻。In the above formula, U 1 , U 2 , U 3 , and U 4 are the terminal voltages of the first winding, the second winding, the third winding and the fourth winding, respectively; I 1 to I 4 are the first winding, the second winding, The third winding and the fourth winding end current; E is the main magnetic flux induced electromotive force; M xy is the mutual inductance between the windings x, y, x=1, 2, 3, 4, y=1, 2, 3, 4; L 1 ˜L 4 are the self-inductances of the first winding, the second winding, the third winding, and the fourth winding, respectively; R 1 ～ R 4 are the resistances of the first winding, the second winding, the third winding, and the fourth winding, respectively . 3.根据权利要求2所述的四绕组感应滤波变压器绕组阻抗匹配方法，其特征在于，基于变压器的单相电路模型以及多绕组电压传递理论确定各绕组端电压后，还包括，确定各绕组与滤波绕组的电压降表达式：3. The method for matching the winding impedance of a four-winding induction filter transformer according to claim 2, wherein after determining the voltage of each winding terminal based on the single-phase circuit model of the transformer and the multi-winding voltage transfer theory, it also includes: The voltage drop expression of the filter winding:
Figure FDA0003349786450000012
Figure FDA0003349786450000012
 设定绕组x和绕组y之间的短路电阻Rkxy＝Rx+Ry,，短路电抗为Xkxy＝ω(Lx+Ly-Mxy-Myx)，则短路阻抗Zkxy＝Rkxy+jXkxy；设定绕组x的等值漏阻抗为Zxyz＝(Zkxy+Zkxz-Zkyz)/2，且存在Zkxy＝Zkyx、Zxyz＝Zxzy(x,y,z＝1,2,3,4；x≠y≠z)；将各绕组与滤波绕组的电压降表达式简化为：Set the short-circuit resistance R kxy =R x +R y , between the winding x and the winding y, and the short-circuit reactance is X kxy =ω(L x +L y -M xy -M yx ), then the short-circuit impedance Z kxy =R kxy +jX kxy ; set the equivalent leakage impedance of winding x as Z xyz =(Z kxy +Z kxz -Z kyz )/2, and there are Z kxy =Z kyx , Z xyz =Z xzy (x,y,z =1,2,3,4; x≠y≠z); simplify the voltage drop expression between each winding and the filter winding as:
Figure FDA0003349786450000021
Figure FDA0003349786450000021
 4.根据权利要求3所述的四绕组感应滤波变压器绕组阻抗匹配方法，其特征在于，四绕组感应滤波变压器各绕组间的电流电压关系式为：4. The four-winding induction filter transformer winding impedance matching method according to claim 3, wherein the current-voltage relationship between each winding of the four-winding induction filter transformer is: I1+I2+I3+I4＝0I 1 +I 2 +I 3 +I 4 =0
Figure FDA0003349786450000022
Figure FDA0003349786450000022
 上式中，Us为电网背景电压；IL3、IL4为第三绕组、第四绕组的负载等效电流源；Zgrid是系统等效阻抗；Zf为滤波装置等效阻抗；ZL3、ZL4为第三绕组、第四绕组的负载等效阻抗；其中，第一绕组侧电网等效为网侧电压源串联系统等效阻抗；第二绕组的滤波装置为一组全调谐设计的单调谐滤波器，等效为滤波等效阻抗；第三绕组、第四绕组所接的负载，通过诺顿定理等效为负载电流源并联负载等效阻抗。In the above formula, U s is the background voltage of the power grid; IL3 and IL4 are the load equivalent current sources of the third winding and the fourth winding; Z grid is the equivalent impedance of the system; Z f is the equivalent impedance of the filter device; Z L3 , Z L4 is the load equivalent impedance of the third winding and the fourth winding; wherein, the grid on the first winding side is equivalent to the equivalent impedance of the grid-side voltage source series system; the filter device of the second winding is a set of fully tuned design The single-tuned filter is equivalent to the filter equivalent impedance; the load connected to the third winding and the fourth winding is equivalent to the load current source parallel load equivalent impedance through Norton's theorem. 5.根据权利要求4所述的四绕组感应滤波变压器绕组阻抗匹配方法，其特征在于，建立四绕组感应滤波变压器的数学解耦模型，具体包括：5. the four-winding induction filter transformer winding impedance matching method according to claim 4, is characterized in that, establishing the mathematical decoupling model of the four-winding induction filter transformer, specifically comprises: 基于四绕组感应滤波变压器各绕组间的电流电压关系式，以及各绕组与滤波绕组的电压降表达式，得到四绕组感应滤波变压器网侧电流I1相关的数学解耦模型：Based on the current-voltage relationship between each winding of the four-winding inductive filter transformer and the voltage drop expression between each winding and the filter winding, the mathematical decoupling model related to the grid-side current I 1 of the four-winding inductive filter transformer is obtained:
Figure FDA0003349786450000023
Figure FDA0003349786450000023
 6.根据权利要求5所述的四绕组感应滤波变压器绕组阻抗匹配方法，其特征在于，网侧电流I1表达式为：6. four-winding induction filter transformer winding impedance matching method according to claim 5, is characterized in that, grid side current I 1 expression is:
Figure FDA0003349786450000031
Figure FDA0003349786450000031
 7.根据权利要求6所述的四绕组感应滤波变压器绕组阻抗匹配方法，其特征在于，基于所述网侧电流确定所述四绕组感应滤波变压器所需的阻抗，具体包括：7. The method for matching the winding impedance of a four-winding inductive filter transformer according to claim 6, wherein determining the impedance required by the four-winding inductive filter transformer based on the grid-side current, specifically comprising: 在谐波Zf为0条件下，将含IL3、IL4的表达式化为0，以消除负载谐波电流对电网的影响；Under the condition that the harmonic Z f is 0, the expressions including IL3 and IL4 are changed to 0 to eliminate the influence of the load harmonic current on the power grid; 令ZL3[Z214Z234-Z213(ZL4+Zk24)]、ZL4[Z213Z234-Z214(ZL3+Zk23)]为0，且满足Z213＝Z214＝0；得到经阻抗匹配后的网侧电流表达式：Let Z L3 [Z 214 Z 234 -Z 213 (Z L4 +Z k24 )], Z L4 [Z 213 Z 234 -Z 214 (Z L3 +Z k23 )] be 0, and satisfy Z 213 = Z 214 = 0 ; Obtain the grid-side current expression after impedance matching:
Figure FDA0003349786450000032
Figure FDA0003349786450000032
 8.一种四绕组感应滤波变压器绕组阻抗匹配系统，所述四绕组感应滤波变压器采用四绕组式排布，所述四绕组感应滤波变压器包括第一绕组、第二绕组第三绕组和第四绕组；所述第一绕组为网侧绕组，采用星形接法；所述第二绕组为滤波绕组，采用三角形接法；所述第三绕组为负载绕组，采用星形接法；所述第四绕组为负载绕组，采用三角形接法；其特征在于，所述系统包括：8. A four-winding induction filter transformer winding impedance matching system, the four-winding induction filter transformer is arranged in a four-winding type, and the four-winding induction filter transformer comprises a first winding, a second winding, a third winding and a fourth winding ; The first winding is a grid-side winding, which adopts a star connection; the second winding is a filter winding, which adopts a delta connection; the third winding is a load winding, which adopts a star connection; the fourth The winding is a load winding and adopts a delta connection method; it is characterized in that the system includes: 数学解耦模型建立模块，基于变压器的单相电路模型以及多绕组电压传递理论确定各绕组端电压，基于磁势平衡原理和基尔霍夫电流电压定理确定各绕组间的电流电压关系；并建立四绕组感应滤波变压器的数学解耦模型；Mathematical decoupling model building module, based on the single-phase circuit model of the transformer and the multi-winding voltage transfer theory to determine the terminal voltage of each winding, and based on the principle of magnetic potential balance and Kirchhoff's current-voltage theorem to determine the current-voltage relationship between the windings; and established Mathematical decoupling model of four-winding induction filter transformer; 阻抗匹配模块，基于所述数学解耦模型确定所述四绕组感应滤波变压器的网侧电流，基于所述网侧电流确定所述四绕组感应滤波变压器所需的阻抗。The impedance matching module determines the grid-side current of the four-winding inductive filter transformer based on the mathematical decoupling model, and determines the impedance required by the four-winding inductive filter transformer based on the grid-side current. 9.一种电子设备，包括存储器、处理器及存储在存储器上并可在处理器上运行的计算机程序，其特征在于，所述处理器执行所述程序时实现如权利要求1至7任一项所述四绕组感应滤波变压器绕组阻抗匹配方法的步骤。9. An electronic device, comprising a memory, a processor and a computer program stored on the memory and running on the processor, wherein the processor implements any one of claims 1 to 7 when the processor executes the program The steps of the four-winding induction filter transformer winding impedance matching method described in item 1. 10.一种非暂态计算机可读存储介质，其上存储有计算机程序，其特征在于，该计算机程序被处理器执行时实现如权利要求1至7任一项所述四绕组感应滤波变压器绕组阻抗匹配方法的步骤。10. A non-transitory computer-readable storage medium on which a computer program is stored, characterized in that, when the computer program is executed by a processor, a four-winding induction filter transformer winding according to any one of claims 1 to 7 is realized The steps of the impedance matching method.
CN202111333458.5A 2021-11-11 2021-11-11 A winding impedance matching method and system for a four-winding induction filter transformer Active CN114284998B (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN202111333458.5A CN114284998B (en) 2021-11-11 2021-11-11 A winding impedance matching method and system for a four-winding induction filter transformer

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN202111333458.5A CN114284998B (en) 2021-11-11 2021-11-11 A winding impedance matching method and system for a four-winding induction filter transformer

Publications (2)

Publication Number Publication Date
CN114284998A true CN114284998A (en) 2022-04-05
CN114284998B CN114284998B (en) 2023-01-13

Family

ID=80868917

Family Applications (1)

Application Number Title Priority Date Filing Date
CN202111333458.5A Active CN114284998B (en) 2021-11-11 2021-11-11 A winding impedance matching method and system for a four-winding induction filter transformer

Country Status (1)

Country Link
CN (1) CN114284998B (en)

Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN105391069A (en) * 2015-11-09 2016-03-09 国家电网公司 Mathematic model of four-winding induction filtering transformer and equivalent circuit thereof
CN106324353A (en) * 2016-08-17 2017-01-11 国家电网公司 Inductive filtering converter transformer harmonic wave impedance measurement method and device
CN108614949A (en) * 2018-05-17 2018-10-02 湖南大学 A kind of transformer integrated regulation and control filtering system harmonic current distribution calculation method

Patent Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN105391069A (en) * 2015-11-09 2016-03-09 国家电网公司 Mathematic model of four-winding induction filtering transformer and equivalent circuit thereof
CN106324353A (en) * 2016-08-17 2017-01-11 国家电网公司 Inductive filtering converter transformer harmonic wave impedance measurement method and device
CN108614949A (en) * 2018-05-17 2018-10-02 湖南大学 A kind of transformer integrated regulation and control filtering system harmonic current distribution calculation method

Non-Patent Citations (1)

* Cited by examiner, † Cited by third party
Title
石赛美等: "四绕组感应滤波变压器短路阻抗特性研究", 《电力科学与技术学报》 *

Also Published As

Publication number Publication date
CN114284998B (en) 2023-01-13

Similar Documents

Publication Publication Date Title
CN110943456B (en) Small-signal harmonic state space modeling method and device for LCC-HVDC system
JP2012157239A5 (en)
CN105243197B (en) Single-core power cables harmonic analysis method based on finite element simulation and equivalent circuit
Yang et al. Three‐phase harmonic power flow by direct ZBUS method for unbalanced radial distribution systems with passive power filters
Horton et al. Novel design methodology for C-type harmonic filter banks applied in HV and EHV networks
Abdel Aleem et al. Harmonic assessment‐based adjusted current total harmonic distortion
CN103412199A (en) Computing method of unbalancedness of multi-circuit power transmission lines on same tower
CN102611125B (en) Asymmetry parameter three-phase three-winding transformer phantom and computational methods
CN109657276A (en) Electromagnetical transient emulation method and system
Yang et al. Loop frame of reference based harmonic power flow for unbalanced radial distribution systems
CN108614949B (en) A method for calculating harmonic current distribution of transformer integrated regulation and filtering system
CN116345650B (en) A Parameter Compensation Method for IPT System in Variable Coupling Condition
CN114284998A (en) A four-winding induction filter transformer winding impedance matching method and system
CN119378968A (en) Offshore wind farm resonance risk assessment method, system, device and storage medium
CN103235197B (en) The method and system of reactive power compensator degree of unbalancedness test
CN112765932A (en) Method and device for analyzing influence of SVG on double-fed grid-connected system
CN107591804B (en) Power quality evaluation method and device based on OPENDS
Freitas et al. Modeling, design, and experimental test of a zero‐sequence current electromagnetic suppressor
Ghanem et al. Wide frequency range active damping of LCL‐filtered grid‐connected converters
Thakur et al. A novel method for joint characterization of unbalanced voltage sags and swells
Januário et al. Modelling of the impedance frequency response of transformers at no load and under nominal conditions
Louie et al. HVDC power system harmonic analysis in the time and frequency domains
Bigdeli et al. Identification of transient model parameters of transformer using genetic algorithm
CN114024305B (en) 50HZ harmonic amplification factor detection method and device for high-voltage direct-current transmission system
CN206117490U (en) Converter owner loop system and converter

Legal Events

Date Code Title Description
PB01 Publication
PB01 Publication
SE01 Entry into force of request for substantive examination
SE01 Entry into force of request for substantive examination
GR01 Patent grant
GR01 Patent grant