CN107453361B - Harmonic transfer matrix calculation method for power induction regulation and control filtering system - Google Patents

Harmonic transfer matrix calculation method for power induction regulation and control filtering system Download PDF

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CN107453361B
CN107453361B CN201710448066.0A CN201710448066A CN107453361B CN 107453361 B CN107453361 B CN 107453361B CN 201710448066 A CN201710448066 A CN 201710448066A CN 107453361 B CN107453361 B CN 107453361B
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刘乾易
李勇
胡斯佳
罗隆福
曹一家
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Hunan 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
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Abstract

The invention discloses a method for calculating a harmonic transmission matrix of a power induction regulation and control filtering system, which comprises the steps of establishing a current transmission matrix of a winding of an induction filtering transformer, which is influenced by load harmonic current and background harmonic voltage and is used as a main harmonic source, according to a kirchhoff voltage and current law, a multi-winding transformer voltage transmission theory, a magnetomotive force balance principle and a virtual impedance control principle; and obtaining a quantitative calculation relational expression of the network side harmonic current of the power induction regulation and control filtering system under the two conditions of implementing a passive filtering method and a hybrid filtering method according to the current transfer matrix of the induction filtering transformer winding. The method for calculating the harmonic transfer matrix of the power induction regulation and control filtering system is effective, simple and accurate in calculation.

Description

Harmonic transfer matrix calculation method for power induction regulation and control filtering system
Technical Field
The invention relates to a filtering system, in particular to a harmonic transfer matrix calculation method of a power induction regulation and control filtering system.
Background
In the field of current rectification, an active filter device or a passive filter device is commonly used for improving the quality of electric energy on a system network side, and the influence of harmonic or reactive components on electrical equipment, particularly a rectification transformer, is ignored. The inductive filtering technology is used for redesigning the rectifier transformer, and an additional third filtering winding is used for counteracting harmonic flux in the transformer, so that the influence of harmonic on the transformer is eliminated on the secondary side of the transformer. The power induction regulation and control filtering system combines the advantages of an induction filtering technology and a hybrid filtering method, greatly improves the working performance of the induction filtering system, and enables more harmonic components to be offset among secondary windings of the transformer. At present, the quantitative analysis of the induction regulation and control filtering system is limited to the utilization of a single-phase equivalent circuit, but is rarely analyzed under a three-phase circuit.
Disclosure of Invention
The invention provides an effective, simple and accurate-calculation method for calculating the harmonic transfer matrix of the power induction regulation and control filtering system.
The technical scheme of the invention is realized as follows:
a method for calculating a harmonic transmission matrix of a power induction regulation and control filtering system comprises the steps of establishing a current transmission matrix of a winding of an induction filtering transformer, which is influenced by load harmonic current and background harmonic voltage and serves as a main harmonic source, according to a kirchhoff voltage and current law, a multi-winding transformer voltage transmission theory, a magnetic potential balance principle and a virtual impedance control principle; and obtaining a quantitative calculation relational expression of the network side harmonic current of the power induction regulation and control filtering system under the two conditions of respectively implementing a passive filtering method and a hybrid filtering method according to the current transfer matrix of the induction filtering transformer winding.
The power induction regulation and control filtering system only utilizes a group of single-tuned filters, and can realize tuning under multiple harmonic frequencies. The method has the advantages that mathematical modeling is carried out under a three-phase circuit, a transmission matrix of the network side harmonic current under the action of the load harmonic current and the background harmonic voltage is listed, accurate quantitative calculation of the network side harmonic current is facilitated, and the transmission matrix can be used for carrying out stability analysis on a system and designing an advanced control strategy suitable for an induction filtering technology.
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 only some embodiments of the present invention, and for those skilled in the art, other drawings can be obtained according to these drawings without creative efforts.
FIG. 1 is a schematic view of a topology of a power induction regulation filtering system according to the present invention;
FIG. 2 is a block diagram of a control strategy adopted by the power induction regulation filtering system of the present invention;
fig. 3 is a harmonic equivalent circuit diagram of the induction filter transformer of the present invention.
Reference numerals:
1. power grid 2, system impedance 3 and induction filter transformer
4. Rectifying load 5, single-tuned filter 6 and inverter
7. Grid synchronization and voltage stabilization control 8, virtual impedance control 9, primary winding
10. Secondary winding
Detailed Description
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 only a part of the embodiments of the present invention, and not all of the embodiments. 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.
Referring to fig. 1, a method for calculating a harmonic transfer matrix of a power induction regulation and control filtering system includes establishing a current transfer matrix of a winding of an induction filtering transformer, which is influenced by load harmonic current and background harmonic voltage as a main harmonic source, according to kirchhoff's voltage-current law, a multi-winding transformer voltage transfer theory, a magnetic potential balance principle and a virtual impedance control principle; and obtaining a quantitative calculation relational expression of the network side harmonic current of the power induction regulation and control filtering system under the two conditions of respectively implementing a passive filtering method and a hybrid filtering method according to the current transfer matrix of the induction filtering transformer winding.
Referring to fig. 1, the power induction regulation and control filtering system includes an induction filtering transformer 3 and a filtering branch 5 integrated therein; the induction filter transformer 3 adopts a three-winding structure, a primary winding of the induction filter transformer is connected with a power grid 1 through a system impedance 2 in a star connection mode, a secondary winding adopts an edge-extending triangular connection mode, the secondary edge-extending winding is directly connected with a rectification load 4, the equivalent impedance of the secondary triangular winding serving as a filter winding is zero, and a filter branch is connected to an intersection point between the triangular winding and the edge-extending winding;
the filtering branch comprises a group of single-tuned filters 5 with full-tuning design and a voltage source type inverter 6 adopting a virtual impedance control strategy, wherein the voltage V at the outlet of the alternating current end of the voltage source type inverterCSatisfies the following relation:
Figure BDA0001321729580000031
wherein, KnIs a virtual impedance whose dimension is ohm, and thus can be equivalent to a pure resistance, ISmnFor the network side harmonic current, "m" represents A, B, C three phases, and "n" represents the harmonic order.
Fig. 2 is a block diagram of a control strategy adopted by the power induction regulation and control filtering system, the control strategy mainly includes two parts, namely power grid synchronization and voltage stabilization control 7 and virtual impedance control, and the electric quantities to be extracted include grid-side three-phase voltage, three-phase current and inverter direct-current voltage.
Fig. 3 is a harmonic equivalent circuit diagram of an induction filter transformer. According to the magnetic potential balance principle, the current relationship between the transformer windings can be obtained:
Figure BDA0001321729580000041
in the formula IAan、IBbn、ICcnRespectively the current on the three-phase load winding; i isabn、Ibcn、IcanRespectively, the filter winding current circulating in the triangular winding.
Equation 3 can be obtained according to the voltage transfer equation of the multi-winding transformer:
Figure BDA0001321729580000042
in the formula, N1、N2、N3The number of turns of the primary winding, the secondary extended winding and the secondary triangular winding of the induction filter transformer are respectively; z1nAnd Z3nIs the equivalent winding impedance of the induction filter transformer; v1mAnd V3mThree-phase voltage which is applied to a network side winding and a filter winding of the induction filter transformer; i isSmnIs the three-phase harmonic current on the network side.
According to kirchhoff's current-voltage law, the formula 4-6 can be obtained:
Figure BDA0001321729580000043
Figure BDA0001321729580000044
Figure BDA0001321729580000045
Figure BDA0001321729580000046
wherein, Iaon、Ibon、IconThree-phase currents on the filtering branches are respectively; vaon、Vbon、VconThe three-phase voltages on the filtering branches are respectively; vSAn、VSBn、VSCnRespectively, three-phase background harmonic voltages on the network side; zSnIs the system impedance, ZfnFor the equivalent impedance of a single tuned filter, the inductive filtering technique requires a zero impedance design at a specific harmonic frequency, i.e., Z3n＝0，Zfn＝0。
In combination with the above relations 1-6, the transmission relationship between the network side harmonic current of the inductive filter transformer and the main harmonic source can be expressed as follows when the load harmonic current and the background harmonic voltage are considered respectively.
When three-phase background harmonic voltage VSmnTo zero, consider the load harmonic current ILmnThe influence on the network side harmonic current of the transformer, namely the expression of the network side harmonic current is as follows:
Figure BDA0001321729580000051
in the formula, ZA1、ZA2、ZP1、ZP2Are characteristic impedances of the system, which are determined by impedance parameters of the various parts of the system, and
Figure BDA0001321729580000052
the specific expression is as follows:
Figure BDA0001321729580000053
when three-phase load harmonic current ILmnIs zero, background harmonic voltage VSmnThe influence on the network side harmonic current of the transformer, namely the expression of the network side harmonic current is as follows:
Figure BDA0001321729580000054
according to the superposition theorem in the basic circuit principle, the harmonic current on the network side can be transferred to the matrix T by using the harmonic voltageVAnd harmonic current transfer matrix TIAs shown below:
Figure BDA0001321729580000061
when K isnWhen 0, a harmonic transfer relation for implementing the power induction filter system based on the passive filter method can be obtained. When the power induction filtering system based on the passive filtering method works, the harmonic current at the network side is only influenced by the in-phase harmonic current and the out-phase harmonic current of one out-of-phase load and is also influenced by the in-phase background harmonic voltage; when the power induction regulation and control filtering system based on the hybrid filtering method works, the harmonic current on the network side is simultaneously influenced by the three-phase load harmonic current and the three-phase background harmonic voltage.
The power induction regulation and control filtering system only utilizes a group of single-tuned filters, and can realize tuning under multiple harmonic frequencies. Mathematical modeling is carried out under a three-phase circuit, a transmission matrix of the network side harmonic current under the action of the load harmonic current and the background harmonic voltage is listed, accurate quantitative calculation of the network side harmonic current is facilitated, and the transmission matrix can be utilized to carry out stability analysis on a system and design an advanced control strategy suitable for an induction filtering technology
The above description is only for the purpose of illustrating the preferred embodiments of the present invention and is not to be construed as limiting the invention, and any modifications, equivalents, improvements and the like that fall within the spirit and principle of the present invention are intended to be included therein.

Claims (2)

1. A method for calculating a harmonic transmission matrix of a power induction regulation and control filtering system is characterized in that a current transmission matrix of a winding of an induction filtering transformer, which is influenced by load harmonic current and background harmonic voltage and is used as a main harmonic source, is established according to a kirchhoff voltage and current law, a multi-winding transformer voltage transmission theory, a magnetic potential balance principle and a virtual impedance control principle; obtaining a quantitative calculation relational expression of the network side harmonic current of the power induction regulation and control filtering system under two conditions of respectively implementing a passive filtering method and a hybrid filtering method according to the current transfer matrix of the induction filtering transformer winding;
the power induction regulation and control filtering system comprises an induction filtering transformer and a filtering branch integrated in the induction filtering transformer; the induction filter transformer adopts a three-winding structure, a primary winding adopts a star connection mode, a secondary winding adopts an edge-extending triangular connection mode, and the equivalent impedance of the triangular winding is zero;
the filtering branch circuit comprises a group of single-tuned filters with full-tuning design and a voltage source type inverter adopting a virtual impedance control strategy, and the voltage V at the outlet of the alternating current end of the voltage source type inverterCSatisfies the following relation:
Figure FDA0002436660700000011
wherein, KnIs a virtual impedance of dimension ohm, ISmnFor network side harmonic current, "m" represents A, B, C three phases, and "n" represents harmonic times;
the transmission relationship between the network side harmonic current of the induction filter transformer and the main harmonic source is specifically expressed as follows:
when three-phase background harmonic voltage VSmnAt zero time, the harmonic current I of the loadLmnFor the influence of the network side harmonic current of the transformer, the expression of the network side harmonic current is as follows:
Figure FDA0002436660700000012
in the formula, ZA1、ZA2、ZP1、ZP2Are characteristic impedances of the system, which are determined by impedance parameters of the various parts of the system, and
Figure FDA0002436660700000013
the specific expression is as follows:
Figure FDA0002436660700000021
wherein N is1、N2、N3The number of turns, Z, of the primary winding, the secondary extended winding and the secondary triangular winding of the induction filter transformer respectivelySnIs the system impedance, ZfnIs the equivalent impedance of a single tuned filter, Z1nAnd Z3nIs the equivalent winding impedance of the induction filter transformer;
when three-phase load harmonic current ILmnIs zero, background harmonic voltage VSmnThe influence on the network side harmonic current of the transformer, namely the expression of the network side harmonic current is as follows:
Figure FDA0002436660700000022
2. the method as claimed in claim 1, wherein the harmonic transfer matrix of the power induction regulation and filtering system is calculated,
characterized by the fact that it is based on the superposition theorem in the basic circuit principleNetwork side harmonic current usable harmonic voltage transfer matrix TVAnd harmonic current transfer matrix TIAs shown below:
Figure FDA0002436660700000023
when K isnWhen the harmonic transfer relationship is 0, a harmonic transfer relationship expression of the power induction filtering system implementing the passive filtering method is obtained.
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CN103595048A (en) * 2013-11-18 2014-02-19 湖南大学 Mixed induction type active electric power filter system
CN103956739A (en) * 2014-04-25 2014-07-30 湖南大学 Method for achieving electric power filtering and reactive compensation of direct-current transmission converter station
CN106169007A (en) * 2016-08-24 2016-11-30 国家电网公司 Method calculated by a kind of sensing filtering converter power transformer harmonic current transferometer

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CN103595048A (en) * 2013-11-18 2014-02-19 湖南大学 Mixed induction type active electric power filter system
CN103956739A (en) * 2014-04-25 2014-07-30 湖南大学 Method for achieving electric power filtering and reactive compensation of direct-current transmission converter station
CN106169007A (en) * 2016-08-24 2016-11-30 国家电网公司 Method calculated by a kind of sensing filtering converter power transformer harmonic current transferometer

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