CN108052705B - Transformer electromagnetic conversion method and device based on current decomposition and winding equivalence - Google Patents

Transformer electromagnetic conversion method and device based on current decomposition and winding equivalence Download PDF

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CN108052705B
CN108052705B CN201711202855.2A CN201711202855A CN108052705B CN 108052705 B CN108052705 B CN 108052705B CN 201711202855 A CN201711202855 A CN 201711202855A CN 108052705 B CN108052705 B CN 108052705B
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phase
transformer
winding
column
representing
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CN108052705A (en
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张也
王冬青
曹楠
刘振富
陈翔宇
郭文明
李广
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State Grid Corp of China SGCC
NARI Group Corp
China EPRI Electric Power Engineering Co Ltd
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State Grid Corp of China SGCC
NARI Group Corp
China EPRI Electric Power Engineering Co Ltd
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    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/30—Circuit design
    • G06F30/36—Circuit design at the analogue level
    • G06F30/367—Design verification, e.g. using simulation, simulation program with integrated circuit emphasis [SPICE], direct methods or relaxation methods
    • H—ELECTRICITY
    • H01—ELECTRIC ELEMENTS
    • H01F—MAGNETS; INDUCTANCES; TRANSFORMERS; SELECTION OF MATERIALS FOR THEIR MAGNETIC PROPERTIES
    • H01F27/00—Details of transformers or inductances, in general
    • H01F27/28—Coils; Windings; Conductive connections
    • H01F27/2823—Wires
    • H01F27/2828—Construction of conductive connections, of leads

Abstract

The invention provides a transformer electromagnetic conversion method and device based on current decomposition and winding equivalence. The technical scheme provided by the invention combines the advantages of the UMEC method and the dual principle method, can obtain the equivalent circuit of the single-phase two-winding transformer/three-phase three-column transformer corresponding to each magnetic circuit branch in the magnetic circuit model, can intuitively express the specific topological structure of the equivalent circuit, and has strong observability; in addition, in the technical scheme provided by the invention, the relevant magnetic permeance, magnetic permeability and the like of the single-phase two-winding transformer are calculated, and particularly, the relevant magnetic permeance and magnetic permeability of the three-phase three-column transformer are calculated simply, the calculated amount is small, and the operation is easy.

Description

Transformer electromagnetic conversion method and device based on current decomposition and winding equivalence
Technical Field
The invention relates to the technical field of electromagnetic simulation of transformers, in particular to a transformer electromagnetic conversion method and device based on current decomposition and winding equivalence.
Background
The iron core of the transformer is made of silicon steel sheets of magnetic conductive materials, so that the transformer has magnetic hysteresis and saturation. When analyzing the problem that the transformer operates in the saturation section of the magnetization curve, a circuit model and a magnetic circuit model which account for the saturation of the iron core are required to be established, and the circuit model and the magnetic circuit model are simulated. When a circuit model is built, the iron core cannot purely use linear inductance to equivalently excite the branch, because the port voltage and exciting current of the transformer are in a nonlinear relation when the magnetic flux is saturated, and the inductance of the equivalently obtained excitation branch is also nonlinear. At this time, it is very important to build a circuit model that can accurately reflect the magnetic circuit structure.
There are two main types of modeling methods for transformer models at present: 1) Constructing a circuit model by an analytic method, and 2) constructing a transformer model by adopting a finite element method. The finite element method carries out calculation of various amounts of electromagnetic fields by constructing a physical model of the transformer, so that the calculation amount of the finite element method is large, the calculation time is long, and the occupied memory is large while the structure and magnetization characteristics of the transformer are accurately simulated. When only electromagnetic field calculation is carried out, the analytic method is obviously superior to the finite element method, and because the analytic method is irrelevant to a physical structure, only calculation of each electromagnetic quantity relation is needed, and the related variables are fewer, the analytic method is used for establishing an electromagnetic model to simulate more preferably.
The main key point in establishing an electromagnetic model based on an analytic method is the conversion from a magnetic circuit to a circuit, and UMEC (Unified Magnetic Equivalent Circuit) methods and a dual principle method are related to the conversion from the magnetic circuit to the circuit in the prior art. The UMEC method is used for algebraic calculation of a magnetic circuit model through a magnetic circuit relation to obtain a final self-inductance coefficient and a final mutual inductance coefficient, and the circuit model formed by the final self-inductance coefficient and the final mutual inductance coefficient does not have a specific circuit structure corresponding to each magnetic circuit branch in the magnetic circuit model, so that the UMEC method cannot intuitively express the internal circuit structure, and in the calculation of the multi-phase multi-core column transformer, the algebraic calculation is complex, and the calculation amount is large.
Disclosure of Invention
In order to overcome the defects in the prior art, the invention provides a transformer electromagnetic conversion method and device based on current decomposition and winding equivalence, which comprises the steps of firstly determining a current equation and an electromotive force equation of a single-phase two-winding transformer/three-phase three-column transformer, then determining an equivalent circuit of the single-phase two-winding transformer/three-phase three-column transformer according to the current equation and the electromotive force equation of the single-phase two-winding transformer/three-phase three-column transformer, and finally realizing the conversion from a magnetic circuit model to the equivalent circuit of the single-phase two-winding transformer/three-phase three-column transformer.
In order to achieve the above purpose, the present invention adopts the following technical scheme:
the invention provides a transformer electromagnetic conversion method based on current decomposition and winding equivalence, which comprises the following steps:
constructing a current equation and an electromotive force equation of the single-phase two-winding transformer;
determining an equivalent circuit of the single-phase two-winding transformer according to a current equation and an electromotive force equation of the single-phase two-winding transformer;
the equivalent circuit of the single-phase two-winding transformer comprises an inductance L 1 Inductance L 2 Inductance L 3 Inductance L 4 And inductance L 5 The method comprises the steps of carrying out a first treatment on the surface of the The inductance L 2 And inductance L 5 In series to form L 2 -L 5 A branch, L 2 -L 5 Branch and inductance L 3 Formed in parallel (L) 2 -L 5 )//L 3 A branch, said (L 2 -L 5 )//L 3 Branch and inductance L 4 After being connected in series with the inductance L 1 And are connected in parallel.
The current equation of the single-phase two-winding transformer is as follows:
wherein phi is 1 Representing the magnetic flux, phi, of a first leg in a single-phase two-winding transformer 2 Representing the magnetic flux, phi, of the second leg in a single-phase two-winding transformer 3 Represents the magnetic flux phi of an iron yoke in a single-phase two-winding transformer 4 Represents the leakage flux phi of the first core column in the single-phase two-winding transformer 5 The leakage magnetic flux of the second core column in the single-phase two-winding transformer is represented; i.e 1 Representing the equivalent winding current, i, of the magnetic flux of the first core column in a single-phase two-winding transformer 2 Representing the winding current, i, of the second core column magnetic flux equivalent in a single-phase two-winding transformer 3 Representing the equivalent winding current, i, of the magnetic flux of an iron yoke in a single-phase two-winding transformer 4 Represents the equivalent winding current, i of the leakage flux of the first core column in the single-phase two-winding transformer 5 The equivalent winding current of the leakage magnetic flux of the second core column in the single-phase two-winding transformer is represented; i.e A Representing the current of the primary winding in a single-phase two-winding transformer, i a ' represents the current converted from the secondary winding to the primary winding in a single-phase two-winding transformer; n (N) 1 Representing the number of turns of a primary winding in a single-phase two-winding transformer; satisfy the following requirements p 1 ＝p 2 ＝p w ，p 3 ＝p y ，p 4 ＝p 5 ＝p f ，p w Flux guide, p, representing the core column flux in a single-phase two-winding transformer y Flux guide, p, representing the magnetic flux of an iron yoke in a single-phase two-winding transformer f Representing leakage flux in a single-phase two-winding transformerMagnetic permeance, p 1 Flux guide, p, representing the magnetic flux of the first core column in a single-phase two-winding transformer 2 Flux guide, p, representing the magnetic flux of the second core column in a single-phase two-winding transformer 3 Flux guide, p, representing the magnetic flux of an iron yoke in a single-phase two-winding transformer 4 Flux guide, p, representing leakage flux of first core column in single-phase two-winding transformer 5 Indicating the flux guide of the leakage flux of the second core column in the single-phase two-winding transformer, +. > Wherein mu 1 、S 1 And l 1 Represents the magnetic permeability, the cross section area and the equivalent magnetic path length of a first core column in a single-phase two-winding transformer, mu 2 、S 2 And l 2 Respectively represents the magnetic permeability, the cross section area and the equivalent magnetic path length of a second core column in the single-phase two-winding transformer, mu 3 、S 3 And l 3 Respectively shows the magnetic permeability, the cross section area and the equivalent magnetic path length of an iron yoke in a single-phase two-winding transformer, mu 1 、μ 2 、μ 3 Determining through a JA hysteresis model; />X d The integrated value of the short-circuit reactance of the single-phase two-winding transformer on the primary side winding is represented, and omega represents the angular frequency of the power system.
The electromotive force equation of the single-phase two-winding transformer is as follows:
wherein e 1 Representing the electromotive force of the magnetic flux of the first core column in the single-phase two-winding transformer, e 2 Representing the electromotive force of the magnetic flux of the second core column in the single-phase two-winding transformer, e 3 Represents electromotive force of iron yoke magnetic flux in single-phase two-winding transformer, e 4 Representing leakage flux from a first core column in a single-phase two-winding transformerElectromotive force, e 5 Representing the electromotive force of the leakage magnetic flux of the second core column in the single-phase two-winding transformer; and satisfy the followingφ 1 ＝φ 4 +φ 3 ，φ 3 ＝φ 2 +φ 5 ，/>Representing the rate of change of the magnetic flux of the first limb in a single-phase two-winding transformer,/for>Representing the rate of change of the magnetic flux of the second core in a single-phase two-winding transformer,/for>Indicating the rate of change of the magnetic flux of the iron yoke in a single-phase two-winding transformer,/-) >Indicating the rate of change of the leakage flux of the first core column in a single-phase two-winding transformer, +.>The rate of change of the leakage flux of the second core column in the single-phase two-winding transformer is shown.
Inductance L in equivalent circuit of single-phase two-winding transformer 1 Inductance L 2 Inductance L 3 Inductance L 4 Inductance L 5 Calculated as follows:
L 1 ＝N 1 p 1 N 1
L 2 ＝N 1 p 2 N 1
L 3 ＝N 1 p 3 N 1
L 4 ＝N 1 p 4 N 1
L 5 ＝N 1 p 5 N 1 。
the invention also provides a transformer electromagnetic conversion device based on current decomposition and winding equivalence, which comprises:
the first construction module is used for constructing a current equation and an electromotive force equation of the single-phase two-winding transformer;
the first determining module is used for determining an equivalent circuit of the single-phase two-winding transformer according to a current equation and an electromotive force equation of the single-phase two-winding transformer;
the equivalent circuit of the single-phase two-winding transformer comprises an inductance L 1 Inductance L 2 Inductance L 3 Inductance L 4 And inductance L 5 The method comprises the steps of carrying out a first treatment on the surface of the The inductance L 2 And inductance L 5 In series to form L 2 -L 5 A branch, L 2 -L 5 Branch and inductance L 3 Formed in parallel (L) 2 -L 5 )//L 3 A branch, said (L 2 -L 5 )//L 3 Branch and inductance L 4 After being connected in series with the inductance L 1 And are connected in parallel.
The first construction module constructs a current equation of the single-phase two-winding transformer as follows:
wherein phi is 1 Representing the magnetic flux, phi, of a first leg in a single-phase two-winding transformer 2 Representing the magnetic flux, phi, of the second leg in a single-phase two-winding transformer 3 Represents the magnetic flux phi of an iron yoke in a single-phase two-winding transformer 4 Represents the leakage flux phi of the first core column in the single-phase two-winding transformer 5 The leakage magnetic flux of the second core column in the single-phase two-winding transformer is represented; i.e 1 Representing the equivalent winding current, i, of the magnetic flux of the first core column in a single-phase two-winding transformer 2 Representing the winding current, i, of the second core column magnetic flux equivalent in a single-phase two-winding transformer 3 Representing the equivalent winding current, i, of the magnetic flux of an iron yoke in a single-phase two-winding transformer 4 Represents the equivalent winding current, i of the leakage flux of the first core column in the single-phase two-winding transformer 5 Representing a single-phase two-winding transformerA winding current equivalent to the leakage magnetic flux of the second core column; i.e A Representing the current of the primary winding in a single-phase two-winding transformer, i a ' represents the current converted from the secondary winding to the primary winding in a single-phase two-winding transformer; n (N) 1 Representing the number of turns of a primary winding in a single-phase two-winding transformer; satisfy the following requirements p 1 ＝p 2 ＝p w ，p 3 ＝p y ，p 4 ＝p 5 ＝p f ，p w Flux guide, p, representing the core column flux in a single-phase two-winding transformer y Flux guide, p, representing the magnetic flux of an iron yoke in a single-phase two-winding transformer f Flux guide, p, representing leakage flux in single-phase two-winding transformer 1 Flux guide, p, representing the magnetic flux of the first core column in a single-phase two-winding transformer 2 Flux guide, p, representing the magnetic flux of the second core column in a single-phase two-winding transformer 3 Flux guide, p, representing the magnetic flux of an iron yoke in a single-phase two-winding transformer 4 Flux guide, p, representing leakage flux of first core column in single-phase two-winding transformer 5 Indicating the flux guide of the leakage flux of the second core column in the single-phase two-winding transformer, +.> Wherein mu 1 、S 1 And l 1 Represents the magnetic permeability, the cross section area and the equivalent magnetic path length of a first core column in a single-phase two-winding transformer, mu 2 、S 2 And l 2 Respectively represents the magnetic permeability, the cross section area and the equivalent magnetic path length of a second core column in the single-phase two-winding transformer, mu 3 、S 3 And l 3 Respectively shows the magnetic permeability, the cross section area and the equivalent magnetic path length of an iron yoke in a single-phase two-winding transformer, mu 1 、μ 2 、μ 3 Determination by JA hysteresis modelSetting; />X d The integrated value of the short-circuit reactance of the single-phase two-winding transformer on the primary side winding is represented, and omega represents the angular frequency of the power system.
The first construction module constructs an electromotive force equation of the single-phase two-winding transformer as follows:
wherein e 1 Representing the electromotive force of the magnetic flux of the first core column in the single-phase two-winding transformer, e 2 Representing the electromotive force of the magnetic flux of the second core column in the single-phase two-winding transformer, e 3 Represents electromotive force of iron yoke magnetic flux in single-phase two-winding transformer, e 4 Represents the electromotive force of the leakage flux of the first core column in the single-phase two-winding transformer, e 5 Representing the electromotive force of the leakage magnetic flux of the second core column in the single-phase two-winding transformer; and satisfy the following φ 1 ＝φ 4 +φ 3 ，φ 3 ＝φ 2 +φ 5 ，/>Representing the rate of change of the magnetic flux of the first limb in a single-phase two-winding transformer,/for>Representing the rate of change of the magnetic flux of the second core in a single-phase two-winding transformer,/for>Indicating the rate of change of the magnetic flux of the iron yoke in a single-phase two-winding transformer,/-)>Representing the variation of the leakage flux of the first core column in a single-phase two-winding transformerTransformation rate (F/L)>The rate of change of the leakage flux of the second core column in the single-phase two-winding transformer is shown.
The first determining module determines the inductance L in the equivalent circuit of the single-phase two-winding transformer as follows 1 Inductance L 2 Inductance L 3 Inductance L 4 Inductance L 5 ：
L 1 ＝N 1 p 1 N 1
L 2 ＝N 1 p 2 N 1
L 3 ＝N 1 p 3 N 1
L 4 ＝N 1 p 4 N 1
L 5 ＝N 1 p 5 N 1 。
The invention also provides a transformer electromagnetic conversion method based on current decomposition and winding equivalence, which comprises the following steps:
constructing a current equation and an electromotive force equation of the three-phase three-column transformer;
determining an equivalent circuit of the three-phase three-column transformer according to a current equation and an electromotive force equation of the three-phase three-column transformer;
the equivalent circuit of the three-phase three-column transformer comprises an inductance L 6 Inductance L 7 Inductance L 8 Inductance L 9 And inductance L 10 The method comprises the steps of carrying out a first treatment on the surface of the The inductance L 8 And L 10 Parallel to form L 8 //L 10 A branch, L 8 //L 10 Branch and inductance L 7 Formed in series (L) 8 //L 10 )-L 7 A branch, said (L 8 //L 10 )-L 7 Branch and inductance L 6 And L 9 And are connected in parallel.
The current equation of the three-phase three-column transformer is as follows:
Wherein i is AA 、i BB 、i CC A, B, C phase current representing the high side winding of a three-phase three-limb transformer; n (N) 11 Representing the number of turns of the high-voltage side winding in the three-phase three-column transformer; phi (phi) 6 Representing the magnetic flux, phi, of a first core column in a three-phase three-column transformer 7 Representing the magnetic flux, phi, of the second core leg in a three-phase three-leg transformer 8 Represents the magnetic flux phi of the third core column of the three-phase three-column transformer 9 Representing the magnetic flux of the yoke between the first and second core legs in a three-phase three-limb transformer, phi 10 Representing magnetic flux of an iron yoke between a second core column and a third core column in the three-phase three-column transformer;
i 6 representing the equivalent winding current, i, of the magnetic flux of a first core column in a three-phase three-column transformer 7 Representing the winding current, i, of the second core column magnetic flux equivalent in the three-phase three-column transformer 8 Winding current i representing magnetic flux equivalence of third core column of three-phase three-column transformer 9 A winding current i representing the equivalent magnetic flux of an iron yoke between a first core column and a second core column in a three-phase three-column transformer 10 A winding current equivalent to the yoke magnetic flux between the second core column and the third core column in the three-phase three-column transformer;
p 6 flux guide, p, representing the magnetic flux of a first core column in a three-phase three-column transformer 7 Flux guide, p, representing the magnetic flux of the second core column in a three-phase three-column transformer 8 Flux guide, p, representing the magnetic flux of a third leg in a three-phase three-leg transformer 9 Flux guide representing yoke magnetic flux between first core column and second core column in three-phase three-column transformer, p 10 A flux guide representing the yoke flux between the second and third legs in the three-phase three-leg transformer,wherein mu 6 、S 6 And l 6 Respectively represents the magnetic permeability, the cross section area and the equivalent magnetic path length of a first core column in the three-phase three-column transformer, mu 7 、S 7 And l 7 Respectively represent three-phase three-column type voltage transformationPermeability, cross-sectional area and equivalent magnetic path length, mu, of the second core column in the device 8 、S 8 And l 8 Respectively represents the magnetic permeability, the cross section area and the equivalent magnetic path length of a third core column in the three-phase three-column transformer, mu 9 、S 9 And l 9 Respectively represents the magnetic permeability, the cross section area and the equivalent magnetic path length of an iron yoke between a first iron core column and a second iron core column in the three-phase three-column transformer, mu 10 、S 10 And l 10 Respectively represents the magnetic permeability, the cross section area and the equivalent magnetic path length of an iron yoke between a second iron core post and a third iron core post in the three-phase three-post transformer, mu 6 、μ 7 、μ 8 、μ 9 、μ 10 All are determined by a JA hysteresis model;
i 6 represent phi 6 Equivalent turns of N 11 Current of winding, i 7 Represent phi 7 Equivalent turns of N 11 Current of winding, i 8 Represent phi 8 Equivalent turns of N 11 I is the current of the windings of (1) 9 Represent phi 9 Equivalent turns of N 11 I is the current of the windings of (1) 10 Represent phi 10 Equivalent turns of N 11 And meet the requirements of
The electromotive force equation of the three-phase three-column transformer is as follows:
wherein e 6 Representing the electromotive force of the magnetic flux of the first core column in the three-phase three-column transformer, e 7 Representing the electromotive force of the magnetic flux of the second core column in the three-phase three-column transformer, e 8 Representing the electromotive force of the magnetic flux of the third core column in the three-phase three-column transformer, e 9 E represents electromotive force of yoke magnetic flux between the first core column and the second core column in the three-phase three-column transformer 10 Electromotive force representing yoke magnetic flux between second core column and third core column in three-phase three-column transformerAnd meet the following φ 6 ＝φ 9 ，φ 9 ＝φ 7 +φ 10 ，φ 10 ＝φ 8 ，/>Representing the rate of change of the magnetic flux of the first core column in a three-phase three-column transformer,/for>Representing the rate of change of the magnetic flux of the second core column in a three-phase three-column transformer, +.>Representing the rate of change of the magnetic flux of the third limb in a three-phase three-limb transformer, +.>Representing the rate of change of the yoke flux between the first and second limb in a three-phase three-limb transformer, < >>The rate of change of the yoke flux between the second and third legs in a three-phase three-leg transformer is shown.
Inductance L in equivalent circuit of three-phase three-column transformer 6 Inductance L 7 Inductance L 8 Inductance L 9 Inductance L 10 Calculated as follows:
L 6 ＝N 11 p 6 N 11
L 7 ＝N 11 p 7 N 11
L 8 ＝N 11 p 8 N 11
L 9 ＝N 11 p 9 N 11
L 10 ＝N 11 p 10 N 11 。
the invention also provides a transformer electromagnetic conversion device based on current decomposition and winding equivalence, which comprises:
the second construction module is used for constructing a current equation and an electromotive force equation of the three-phase three-column transformer;
the second determining module is used for determining an equivalent circuit of the three-phase three-column transformer according to a current equation and an electromotive force equation of the three-phase three-column transformer;
the equivalent circuit of the three-phase three-column transformer comprises an inductance L 6 Inductance L 7 Inductance L 8 Inductance L 9 And inductance L 10 The method comprises the steps of carrying out a first treatment on the surface of the The inductance L 8 And L 10 Parallel to form L 8 //L 10 A branch, L 8 //L 10 Branch and inductance L 7 Formed in series (L) 8 //L 10 )-L 7 A branch, said (L 8 //L 10 )-L 7 Branch and inductance L 6 And L 9 And are connected in parallel.
The second construction module constructs a current equation of the three-phase three-column transformer as follows:
wherein i is AA 、i BB 、i CC A, B, C phase current representing the high side winding of a three-phase three-limb transformer; n (N) 11 Representing the number of turns of the high-voltage side winding in the three-phase three-column transformer; phi (phi) 6 Representing the magnetic flux, phi, of a first core column in a three-phase three-column transformer 7 Representing the magnetic flux, phi, of the second core leg in a three-phase three-leg transformer 8 Represents the magnetic flux phi of the third core column of the three-phase three-column transformer 9 Representing the magnetic flux of the yoke between the first and second core legs in a three-phase three-limb transformer, phi 10 Representing magnetic flux of an iron yoke between a second core column and a third core column in the three-phase three-column transformer;
i 6 representing the equivalent winding current, i, of the magnetic flux of a first core column in a three-phase three-column transformer 7 Representing the winding current, i, of the second core column magnetic flux equivalent in the three-phase three-column transformer 8 Winding current i representing magnetic flux equivalence of third core column of three-phase three-column transformer 9 A winding current i representing the equivalent magnetic flux of an iron yoke between a first core column and a second core column in a three-phase three-column transformer 10 A winding current equivalent to the yoke magnetic flux between the second core column and the third core column in the three-phase three-column transformer;
p 6 flux guide, p, representing the magnetic flux of a first core column in a three-phase three-column transformer 7 Flux guide, p, representing the magnetic flux of the second core column in a three-phase three-column transformer 8 Flux guide, p, representing the magnetic flux of a third leg in a three-phase three-leg transformer 9 Flux guide representing yoke magnetic flux between first core column and second core column in three-phase three-column transformer, p 10 A flux guide representing the yoke flux between the second and third legs in the three-phase three-leg transformer,wherein mu 6 、S 6 And l 6 Respectively represents the magnetic permeability, the cross section area and the equivalent magnetic path length of a first core column in the three-phase three-column transformer, mu 7 、S 7 And l 7 Respectively represents the magnetic permeability, the cross section area and the equivalent magnetic path length of a second core column in the three-phase three-column transformer, mu 8 、S 8 And l 8 Respectively represents the magnetic permeability, the cross section area and the equivalent magnetic path length of a third core column in the three-phase three-column transformer, mu 9 、S 9 And l 9 Respectively represents the magnetic permeability, the cross section area and the equivalent magnetic path length of an iron yoke between a first iron core column and a second iron core column in the three-phase three-column transformer, mu 10 、S 10 And l 10 Respectively represents the magnetic permeability, the cross section area and the equivalent magnetic path length of an iron yoke between a second iron core post and a third iron core post in the three-phase three-post transformer, mu 6 、μ 7 、μ 8 、μ 9 、μ 10 All are determined by a JA hysteresis model;
i 6 represent phi 6 Equivalent turns of N 11 Current of winding, i 7 Represent phi 7 Equivalent turns of N 11 Current of winding, i 8 Represent phi 8 Equivalent turns of N 11 I is the current of the windings of (1) 9 Represent phi 9 Equivalent turns of N 11 I is the current of the windings of (1) 10 Represent phi 10 Equivalent turns of N 11 And meet the requirements of
The second construction module constructs an electromotive force equation of the three-phase three-column transformer as follows:
wherein e 6 Representing the electromotive force of the magnetic flux of the first core column in the three-phase three-column transformer, e 7 Representing the electromotive force of the magnetic flux of the second core column in the three-phase three-column transformer, e 8 Representing the electromotive force of the magnetic flux of the third core column in the three-phase three-column transformer, e 9 E represents electromotive force of yoke magnetic flux between the first core column and the second core column in the three-phase three-column transformer 10 Represents the electromotive force of the yoke magnetic flux between the second core column and the third core column in the three-phase three-column transformer, and satisfies the following conditions φ 6 ＝φ 9 ，φ 9 ＝φ 7 +φ 10 ，φ 10 ＝φ 8 ，/>Representing the rate of change of the magnetic flux of the first core column in a three-phase three-column transformer,/for>Representing the rate of change of the magnetic flux of the second core column in a three-phase three-column transformer, +.>Representing the rate of change of the magnetic flux of the third limb in a three-phase three-limb transformer, +.>Representing the rate of change of the yoke flux between the first and second limb in a three-phase three-limb transformer, < >>The rate of change of the yoke flux between the second and third legs in a three-phase three-leg transformer is shown.
The second determining module determines the inductance L in the equivalent circuit of the three-phase three-column transformer as follows 6 Inductance L 7 Inductance L 8 Inductance L 9 Inductance L 10 ：
L 6 ＝N 11 p 6 N 11
L 7 ＝N 11 p 7 N 11
L 8 ＝N 11 p 8 N 11
L 9 ＝N 11 p 9 N 11
L 10 ＝N 11 p 10 N 11 。
Compared with the closest prior art, the technical scheme provided by the invention has the following beneficial effects:
in the transformer electromagnetic conversion method based on current decomposition and winding equivalence, firstly, a current equation and an electromotive force equation of a single-phase two-winding transformer/three-phase three-column transformer are constructed, then an equivalent circuit of the single-phase two-winding transformer/three-phase three-column transformer is determined according to the current equation and the electromotive force equation of the single-phase two-winding transformer/three-phase three-column transformer, and finally, the conversion from a magnetic circuit model to the equivalent circuit of the single-phase two-winding transformer/three-phase three-column transformer is realized;
The technical scheme provided by the invention combines the advantages of the UMEC method and the dual principle method, can obtain the equivalent circuit of the single-phase two-winding transformer/three-phase three-column transformer corresponding to each magnetic circuit branch in the magnetic circuit model, can intuitively express the specific topological structure of the equivalent circuit, and has strong observability;
according to the technical scheme provided by the invention, the related permeabilities, magnetic permeability and the like of the single-phase two-winding transformer are calculated, and particularly, the related permeabilities and magnetic permeability of the three-phase three-column transformer are calculated simply, so that the calculated amount is small, and the operation is easy;
according to the technical scheme provided by the invention, the nonlinear inductance in the equivalent circuit of the single-phase two-winding transformer/three-phase three-column transformer can be obtained through programming an interface between PSCAD and FORTRAN language, and then nonlinear simulation of the transformer is carried out according to the topological structure of the equivalent circuit.
Drawings
FIG. 1 is a flow chart of an electromagnetic conversion method of a single-phase two-winding transformer in an embodiment of the invention;
FIG. 2 is a magnetic flux structure diagram of a single-phase two-winding transformer in accordance with an embodiment of the present invention;
FIG. 3 is a magnetic equivalent loop diagram of a single-phase two-winding transformer in an embodiment of the invention;
FIG. 4 is an equivalent circuit topology of a single-phase two-winding transformer in an embodiment of the invention;
FIG. 5 is a flow chart of an electromagnetic conversion method of a three-phase three-core transformer in an embodiment of the invention;
FIG. 6 is a magnetic flux structure diagram of a three-phase three-leg transformer in an embodiment of the invention;
fig. 7 is an equivalent circuit topology of a three-phase three-leg transformer in an embodiment of the present invention.
Detailed Description
The invention is described in further detail below with reference to the accompanying drawings.
Example 1
The embodiment 1 of the invention provides a transformer electromagnetic conversion method based on current decomposition and winding equivalence, which aims at a single-phase two-winding transformer, wherein a specific flow chart of the single-phase two-winding transformer electromagnetic conversion method is shown in fig. 1, and the specific process is as follows:
s101: constructing a current equation and an electromotive force equation of the single-phase two-winding transformer;
s102: determining an equivalent circuit of the single-phase two-winding transformer according to the current equation and the electromotive force equation of the single-phase two-winding transformer determined in the step S101;
the topology diagram of the equivalent circuit of the single-phase two-winding transformer is shown in fig. 4, and the equivalent circuit of the single-phase two-winding transformer comprises an inductance L 1 Inductance L 2 Inductance L 3 Inductance L 4 And inductance L 5 The method comprises the steps of carrying out a first treatment on the surface of the Wherein the inductance L 2 And inductance L 5 In series to form L 2 -L 5 Branch, L 2 -L 5 Branch and inductance L 3 Formed in parallel (L) 2 -L 5 )//L 3 Branch (L) 2 -L 5 )//L 3 Branch and inductance L 4 After being connected in series with the inductance L 1 And are connected in parallel.
The magnetic flux structure of the single-phase two-winding transformer is shown in FIG. 2, wherein phi 1 Representing the magnetic flux, phi, of a first leg in a single-phase two-winding transformer 2 Representing the magnetic flux, phi, of the second leg in a single-phase two-winding transformer 3 Represents the magnetic flux phi of an iron yoke in a single-phase two-winding transformer 4 Represents the leakage flux phi of the first core column in the single-phase two-winding transformer 5 Indicating the leakage flux, i, of the second core column in a single-phase two-winding transformer A Representing the current of the primary winding in a single-phase two-winding transformer, i a Representing the current of the secondary winding in a single-phase two-winding transformer. The magnetic equivalent loop of the single-phase two-winding transformer shown in fig. 3 can be obtained from the magnetic flux structure diagram of the single-phase two-winding transformer shown in fig. 2, the magnetic flux branch and the leakage magnetic flux branch in fig. 3 correspond to fig. 2, the magnetic flux, the iron yoke and the leakage magnetic flux have respective magnetic permeabilities, and in fig. 3, p w Flux guide, p, representing the core column flux in a single-phase two-winding transformer y Flux guide, p, representing the magnetic flux of an iron yoke in a single-phase two-winding transformer f Representing single-phase two-winding variationsFlux guide of leakage magnetic flux in presser, N 1 Representing the number of turns of the primary winding in a single-phase two-winding transformer. The current equation of the single-phase two-winding transformer constructed in S101 is then as follows:
Wherein phi is 1 Representing the magnetic flux, phi, of a first leg in a single-phase two-winding transformer 2 Representing the magnetic flux, phi, of the second leg in a single-phase two-winding transformer 3 Represents the magnetic flux phi of an iron yoke in a single-phase two-winding transformer 4 Represents the leakage flux phi of the first core column in the single-phase two-winding transformer 5 The leakage magnetic flux of the second core column in the single-phase two-winding transformer is represented; i.e 1 Representing the equivalent winding current, i, of the magnetic flux of the first core column in a single-phase two-winding transformer 2 Representing the winding current, i, of the second core column magnetic flux equivalent in a single-phase two-winding transformer 3 Representing the equivalent winding current, i, of the magnetic flux of an iron yoke in a single-phase two-winding transformer 4 Represents the equivalent winding current, i of the leakage flux of the first core column in the single-phase two-winding transformer 5 The equivalent winding current of the leakage magnetic flux of the second core column in the single-phase two-winding transformer is represented; i.e A Representing the current of the primary winding in a single-phase two-winding transformer, i a ' represents the current converted from the secondary winding to the primary winding in a single-phase two-winding transformer; n (N) 1 Representing the number of turns of a primary winding in a single-phase two-winding transformer; will beI in (a) A +i a ' decomposition into i 1 、i 2 、i 3 Sum of three currents and willI in (i) A Decomposition into i 1 、i 4 Sum of all->In (a) and (b)i A Decomposition into i 1 、i 3 、i 5 The sum of the three currents, this decomposition corresponds to i A +i a ' and i A Is equivalent to a current i 1 、i 2 、i 3 Is a current i 1 ～i 5 Is of phi 1 ～φ 5 Correspondingly, the magnetic circuit branches corresponding to the iron yoke and the leakage magnetic flux are equivalent to coils, and the ampere loop law is changed into that: i.e 1 ～i 5 Magnetomotive force algebraic sum formed by a plurality of coils is equal to +.>Algebraic sum of-> p 1 ＝p 2 ＝p w ，p 3 ＝p y ，p 4 ＝p 5 ＝p f ，p w Flux guide, p, representing the core column flux in a single-phase two-winding transformer y Flux guide, p, representing the magnetic flux of an iron yoke in a single-phase two-winding transformer f Flux guide, p, representing leakage flux in single-phase two-winding transformer 1 Flux guide, p, representing the magnetic flux of the first core column in a single-phase two-winding transformer 2 Flux guide, p, representing the magnetic flux of the second core column in a single-phase two-winding transformer 3 Flux guide, p, representing the magnetic flux of an iron yoke in a single-phase two-winding transformer 4 Flux guide, p, representing leakage flux of first core column in single-phase two-winding transformer 5 Indicating the flux guide of the leakage flux of the second core column in the single-phase two-winding transformer, +.> Wherein mu 1 、S 1 And l 1 Representing the first leg in a single-phase two-winding transformerPermeability, cross-sectional area and equivalent magnetic path length, mu 2 、S 2 And l 2 Respectively represents the magnetic permeability, the cross section area and the equivalent magnetic path length of a second core column in the single-phase two-winding transformer, mu 3 、S 3 And l 3 Respectively shows the magnetic permeability, the cross section area and the equivalent magnetic path length of an iron yoke in a single-phase two-winding transformer, mu 1 、μ 2 、μ 3 The B-H curves of the iron core silicon steel sheet materials are determined by a JA hysteresis model; />X d The integrated value of the short-circuit reactance of the single-phase two-winding transformer on the primary side winding is represented, and omega represents the angular frequency of the power system.
In S101, the electromotive force equation of the single-phase two-winding transformer is as follows:
wherein e 1 Representing the electromotive force of the magnetic flux of the first core column in the single-phase two-winding transformer, e 2 Representing the electromotive force of the magnetic flux of the second core column in the single-phase two-winding transformer, e 3 Represents electromotive force of iron yoke magnetic flux in single-phase two-winding transformer, e 4 Represents the electromotive force of the leakage flux of the first core column in the single-phase two-winding transformer, e 5 Representing the electromotive force of the leakage magnetic flux of the second core column in the single-phase two-winding transformer; phi handle 1 ～φ 5 Equivalent to N as turns 1 An electromotive force of e 1 ～e 5 Is produced by 5 windings, the equivalent electromotive force and magnetic flux are related as followsSince there are 2 nodes in FIG. 3, the algebraic sum of the magnetic fluxes at the two nodes is 0, thus satisfying φ 1 ＝φ 4 +φ 3 ，φ 3 ＝φ 2 +φ 5 ，/>Representing the rate of change of the magnetic flux of the first limb in a single-phase two-winding transformer,/for>Representing the rate of change of the magnetic flux of the second core in a single-phase two-winding transformer,/for>Indicating the rate of change of the magnetic flux of the iron yoke in a single-phase two-winding transformer,/-)>Indicating the rate of change of the leakage flux of the first core column in a single-phase two-winding transformer, +. >The rate of change of the leakage flux of the second core column in the single-phase two-winding transformer is shown.
From the following componentsAnd->It can be known that the inductance L in the equivalent circuit of the single-phase two-winding transformer in S102 1 Inductance L 2 Inductance L 3 Inductance L 4 Inductance L 5 Calculated as follows:
L 1 ＝N 1 p 1 N 1
L 2 ＝N 1 p 2 N 1
L 3 ＝N 1 p 3 N 1
L 4 ＝N 1 p 4 N 1
L 5 ＝N 1 p 5 N 1 。
inductance L in equivalent circuit of single-phase two-winding transformer 1 Inductance L 2 Inductance L 3 Can be applied in PSCADFORTRAN statement programming implementation.
The correctness of the transformer electromagnetic conversion method based on current decomposition and winding equivalence provided in embodiment 1 of the present invention is verified by calculating the self inductance and mutual inductance coefficient which are the same as those of the unified magnetic circuit method UMEC as follows:
the equivalent circuit of the single-phase two-winding transformer consisting of 5 inductors in fig. 4 is converted into an equivalent circuit consisting of self inductance and mutual inductance, wherein the equivalent circuit is as follows:
wherein e A Is the electromotive force of a primary side winding in a single-phase two-winding transformer, e a ' converting the secondary side winding of a single-phase two-winding transformer into an electromotive force of the primary side, whereinWhen only i A When in operation, the voltage of the primary winding is from i A The voltage on the equivalent inductance is deduced to obtain the equivalent inductance L corresponding to the voltage as follows A ：
The equivalent inductance L A L is the self-inductance of the primary winding w Representing the self-inductance of the core column magnetic flux in a single-phase two-winding transformer, L f Indicating self inductance of leakage flux in single-phase two-winding transformer, L y The magnetic flux self-inductance of the iron yoke in the single-phase two-winding transformer is shown.
When only i a When' is in action, the current on the primary winding is i y By derivation, i of the formula y ：
The voltage on the primary winding caused by the mutual inductance is as follows:
is obtained by deriving from i a The' electromotive force induced in the primary winding, the mutual inductance M generated in the primary winding by the secondary winding corresponding to the electromotive force is represented by the following formula:
it can be seen from comparison that the self-inductance coefficient obtained by the method is identical to the self-inductance coefficient obtained by the unified magnetic circuit UMEC, so that the current decomposition method proposed herein is identical to the conclusions obtained by the dual principle method and the unified magnetic circuit UMEC method.
The method for converting the magnetic circuit model into the circuit model by the dual principle comprises the following steps: the nodes in the magnetic circuit are transformed into meshes in the equivalent circuit, and the meshes in the magnetic circuit are equivalent to the nodes in the circuit. That is, the parallel relationship in the magnetic circuit is converted into the series relationship in the circuit, and the series relationship in the magnetic circuit is converted into the parallel relationship in the circuit.
It can be found by comparison that the equivalent circuit of magnetic conversion obtained by the current decomposition and winding equivalence method provided by the embodiment 1 of the invention is the same as the circuit model obtained by the dual principle, thereby verifying the correctness of the transformer electromagnetic conversion method based on the current decomposition and winding equivalence provided by the embodiment 1 of the invention.
Based on the same inventive concept, the embodiment of the invention also provides a single-phase two-winding transformer electromagnetic conversion device based on current decomposition and winding equivalence, the principle of solving the problems of the devices is similar to that of the single-phase two-winding transformer electromagnetic conversion device based on current decomposition and winding equivalence, the single-phase two-winding transformer electromagnetic conversion device provided by the embodiment 1 of the invention mainly comprises a first construction module and a first determination module, and the functions of the 2 determination modules are respectively described below:
the first construction module is mainly used for constructing a current equation and an electromotive force equation of the single-phase two-winding transformer;
the first determining module is mainly used for determining an equivalent circuit of the single-phase two-winding transformer according to a current equation and an electromotive force equation of the single-phase two-winding transformer;
the equivalent circuit of the single-phase two-winding transformer comprises an inductor L 1 Inductance L 2 Inductance L 3 Inductance L 4 And inductance L 5 The method comprises the steps of carrying out a first treatment on the surface of the Inductance L 2 And inductance L 5 In series to form L 2 -L 5 Branch, L 2 -L 5 Branch and inductance L 3 Formed in parallel (L) 2 -L 5 )//L 3 Branch (L) 2 -L 5 )//L 3 Branch and inductance L 4 After being connected in series with the inductance L 1 And are connected in parallel.
The first construction module constructs a current equation of the single-phase two-winding transformer as follows:
Wherein phi is 1 Representing the magnetic flux, phi, of a first leg in a single-phase two-winding transformer 2 Representing the magnetic flux, phi, of the second leg in a single-phase two-winding transformer 3 Represents the magnetic flux phi of an iron yoke in a single-phase two-winding transformer 4 Represents the leakage flux phi of the first core column in the single-phase two-winding transformer 5 The leakage magnetic flux of the second core column in the single-phase two-winding transformer is represented; i.e 1 Representing the equivalent winding current, i, of the magnetic flux of the first core column in a single-phase two-winding transformer 2 Representing the winding current, i, of the second core column magnetic flux equivalent in a single-phase two-winding transformer 3 Representing the equivalent winding current, i, of the magnetic flux of an iron yoke in a single-phase two-winding transformer 4 Represents the equivalent winding current, i of the leakage flux of the first core column in the single-phase two-winding transformer 5 The equivalent winding current of the leakage magnetic flux of the second core column in the single-phase two-winding transformer is represented; i.e A Representing the current of the primary winding in a single-phase two-winding transformer, i a ' represents the current converted from the secondary winding to the primary winding in a single-phase two-winding transformer; n (N) 1 Representing the number of turns of a primary winding in a single-phase two-winding transformer; satisfy the following requirements p 1 ＝p 2 ＝p w ，p 3 ＝p y ，p 4 ＝p 5 ＝p f ，p w Flux guide, p, representing the core column flux in a single-phase two-winding transformer y Flux guide, p, representing the magnetic flux of an iron yoke in a single-phase two-winding transformer f Flux guide, p, representing leakage flux in single-phase two-winding transformer 1 Flux guide, p, representing the magnetic flux of the first core column in a single-phase two-winding transformer 2 Flux guide, p, representing the magnetic flux of the second core column in a single-phase two-winding transformer 3 Flux guide, p, representing the magnetic flux of an iron yoke in a single-phase two-winding transformer 4 Flux guide, p, representing leakage flux of first core column in single-phase two-winding transformer 5 Indicating the flux guide of the leakage flux of the second core column in the single-phase two-winding transformer, +.> Wherein mu 1 、S 1 And l 1 Represents the magnetic permeability, the cross section area and the equivalent magnetic path length of a first core column in a single-phase two-winding transformer, mu 2 、S 2 And l 2 Respectively represents the magnetic permeability, the cross section area and the equivalent magnetic path length of a second core column in the single-phase two-winding transformer, mu 3 、S 3 And l 3 Respectively shows the magnetic permeability, the cross section area and the equivalent magnetic path length of an iron yoke in a single-phase two-winding transformer, mu 1 、μ 2 、μ 3 Determining through a JA hysteresis model; />X d The integrated value of the short-circuit reactance of the single-phase two-winding transformer on the primary side winding is represented, and omega represents the angular frequency of the power system.
The first construction module constructs an electromotive force equation of the single-phase two-winding transformer as follows:
wherein e 1 Representing the electromotive force of the magnetic flux of the first core column in the single-phase two-winding transformer, e 2 Representing the electromotive force of the magnetic flux of the second core column in the single-phase two-winding transformer, e 3 Represents electromotive force of iron yoke magnetic flux in single-phase two-winding transformer, e 4 Represents the electromotive force of the leakage flux of the first core column in the single-phase two-winding transformer, e 5 Representing the electromotive force of the leakage magnetic flux of the second core column in the single-phase two-winding transformer; and satisfy the followingφ 1 ＝φ 4 +φ 3 ，φ 3 ＝φ 2 +φ 5 ，/>Representing the rate of change of the magnetic flux of the first limb in a single-phase two-winding transformer,/for>Representing the rate of change of the magnetic flux of the second core in a single-phase two-winding transformer,/for>Indicating the rate of change of the magnetic flux of the iron yoke in a single-phase two-winding transformer,/-)>Indicating the rate of change of the leakage flux of the first core column in a single-phase two-winding transformer, +.>The rate of change of the leakage flux of the second core column in the single-phase two-winding transformer is shown.
The first determining module determines the inductance L in the equivalent circuit of the single-phase two-winding transformer as follows 1 Inductance L 2 Inductance L 3 Inductance L 4 Inductance L 5 ：
L 1 ＝N 1 p 1 N 1
L 2 ＝N 1 p 2 N 1
L 3 ＝N 1 p 3 N 1
L 4 ＝N 1 p 4 N 1
L 5 ＝N 1 p 5 N 1 。
Example 2
The embodiment 2 of the invention provides a transformer electromagnetic conversion method based on current decomposition and winding equivalence, which aims at a three-phase three-column transformer, and the three-phase three-column transformer electromagnetic conversion method is shown in fig. 5, and comprises the following specific processes:
s201: constructing a current equation and an electromotive force equation of the three-phase three-column transformer;
s202: determining an equivalent circuit of the three-phase three-column transformer according to the current equation and the electromotive force equation of the three-phase three-column transformer determined in the step S201;
The equivalent circuit of the three-phase three-column transformer comprises an inductance L 6 Inductance L 7 Inductance L 8 Inductance L 9 And inductance L 10 The method comprises the steps of carrying out a first treatment on the surface of the Inductance L 8 And L 10 Parallel to form L 8 //L 10 Branch, L 8 //L 10 Branch and inductance L 7 Formed in series (L) 8 //L 10 )-L 7 Branch (L) 8 //L 10 )-L 7 Branch and inductance L 6 And L 9 And are connected in parallel.
The magnetic flux structure of the three-phase three-pole transformer is shown in fig. 6, in which i AA 、i BB 、i CC Representing three-phase three-column type transformerA, B, C phase current, phi, of high-voltage side winding of transformer 6 Representing the magnetic flux, phi, of a first core column in a three-phase three-column transformer 7 Representing the magnetic flux, phi, of the second core leg in a three-phase three-leg transformer 8 Represents the magnetic flux phi of the third core column of the three-phase three-column transformer 9 Representing the magnetic flux of the yoke between the first and second core legs in a three-phase three-limb transformer, phi 10 Representing the magnetic flux of the yoke between the second and third legs in a three-phase three-leg transformer.
In S201, the current equation of the three-phase three-pole transformer constructed according to the magnetic flux structure diagram of the three-phase three-pole transformer is as follows:
wherein i is AA 、i BB 、i CC A, B, C phase current representing the high side winding of a three-phase three-limb transformer; n (N) 11 Representing the number of turns of the high-voltage side winding in the three-phase three-column transformer; phi (phi) 6 Representing the magnetic flux, phi, of a first core column in a three-phase three-column transformer 7 Representing the magnetic flux, phi, of the second core leg in a three-phase three-leg transformer 8 Represents the magnetic flux phi of the third core column of the three-phase three-column transformer 9 Representing the magnetic flux of the yoke between the first and second core legs in a three-phase three-limb transformer, phi 10 Representing magnetic flux of an iron yoke between a second core column and a third core column in the three-phase three-column transformer;
p 6 flux guide, p, representing the magnetic flux of a first core column in a three-phase three-column transformer 7 Flux guide, p, representing the magnetic flux of the second core column in a three-phase three-column transformer 8 Flux guide, p, representing the magnetic flux of a third leg in a three-phase three-leg transformer 9 Flux guide representing yoke magnetic flux between first core column and second core column in three-phase three-column transformer, p 10 A flux guide representing the yoke flux between the second and third legs in the three-phase three-leg transformer,wherein the method comprises the steps ofμ 6 、S 6 And l 6 Respectively represents the magnetic permeability, the cross section area and the equivalent magnetic path length of a first core column in the three-phase three-column transformer, mu 7 、S 7 And l 7 Respectively represents the magnetic permeability, the cross section area and the equivalent magnetic path length of a second core column in the three-phase three-column transformer, mu 8 、S 8 And l 8 Respectively represents the magnetic permeability, the cross section area and the equivalent magnetic path length of a third core column in the three-phase three-column transformer, mu 9 、S 9 And l 9 Respectively represents the magnetic permeability, the cross section area and the equivalent magnetic path length of an iron yoke between a first iron core column and a second iron core column in the three-phase three-column transformer, mu 10 、S 10 And l 10 Respectively represents the magnetic permeability, the cross section area and the equivalent magnetic path length of an iron yoke between a second iron core post and a third iron core post in the three-phase three-post transformer, mu 6 、μ 7 、μ 8 、μ 9 、μ 10 All are determined by a JA hysteresis model;
i 6 representing the equivalent winding current, i, of the magnetic flux of a first core column in a three-phase three-column transformer 7 Representing the winding current, i, of the second core column magnetic flux equivalent in the three-phase three-column transformer 8 Winding current i representing magnetic flux equivalence of third core column of three-phase three-column transformer 9 A winding current i representing the equivalent magnetic flux of an iron yoke between a first core column and a second core column in a three-phase three-column transformer 10 Representing the equivalent winding current of the yoke flux between the second and third core legs in a three-phase three-limb transformer, i.e 6 Represent phi 6 Equivalent turns of N 11 Current of winding, i 7 Represent phi 7 Equivalent turns of N 11 Current of winding, i 8 Represent phi 8 Equivalent turns of N 11 I is the current of the windings of (1) 9 Represent phi 9 Equivalent turns of N 11 I is the current of the windings of (1) 10 Represent phi 10 Equivalent turns of N 11 And meet the requirements of
In S201, the electromotive force equation of the three-phase three-pole transformer constructed from the magnetic flux structure diagram of the three-phase three-pole transformer is as follows:
wherein e 6 Representing the electromotive force of the magnetic flux of the first core column in the three-phase three-column transformer, e 7 Representing the electromotive force of the magnetic flux of the second core column in the three-phase three-column transformer, e 8 Representing the electromotive force of the magnetic flux of the third core column in the three-phase three-column transformer, e 9 E represents electromotive force of yoke magnetic flux between the first core column and the second core column in the three-phase three-column transformer 10 Represents the electromotive force of the yoke magnetic flux between the second core column and the third core column in the three-phase three-column transformer, and satisfies the following conditions φ 6 ＝φ 9 ，φ 9 ＝φ 7 +φ 10 ，φ 10 ＝φ 8 ，/>Representing the rate of change of the magnetic flux of the first core column in a three-phase three-column transformer,/for>Representing the rate of change of the magnetic flux of the second core column in a three-phase three-column transformer, +.>Representing the rate of change of the magnetic flux of the third limb in a three-phase three-limb transformer, +.>Representing the rate of change of the yoke flux between the first and second limb in a three-phase three-limb transformer, < >>The rate of change of the yoke flux between the second and third legs in a three-phase three-leg transformer is shown.
In the above step S202, the inductance L in the equivalent circuit of the three-phase three-pole transformer 6 Inductance L 7 Inductance L 8 Inductance L 9 Inductance L 10 Calculated as follows:
L 6 ＝N 11 p 6 N 11
L 7 ＝N 11 p 7 N 11
L 8 ＝N 11 p 8 N 11
L 9 ＝N 11 p 9 N 11
L 10 ＝N 11 p 10 N 11 。
inductance L in equivalent circuit of three-phase three-column transformer 6 Inductance L 7 Inductance L 8 Inductance L 9 Inductance L 10 The FORTRAN statement programming implementation may be applied in PSCAD.
Based on the same inventive concept, embodiment 2 of the present invention further provides a three-phase three-column type transformer electromagnetic conversion device based on current decomposition and winding equivalence, and the principle of these devices for solving the problems is similar to the method of the three-phase three-column type transformer electromagnetic conversion device based on current decomposition and winding equivalence, where the three-phase three-column type transformer electromagnetic conversion device provided by embodiment 2 of the present invention mainly includes a second construction module and a second determination module, and the functions of the 2 determination modules are respectively described below:
The second construction module mainly constructs and determines a current equation and an electromotive force equation of the three-phase three-column transformer;
the second determining module is mainly used for determining an equivalent circuit of the three-phase three-column transformer according to a current equation and an electromotive force equation of the three-phase three-column transformer;
the equivalent circuit topology diagram of the three-phase three-column transformer is shown in FIG. 7The equivalent circuit of the three-phase three-column transformer comprises an inductance L 6 Inductance L 7 Inductance L 8 Inductance L 9 And inductance L 10 The method comprises the steps of carrying out a first treatment on the surface of the Inductance L 8 And L 10 Parallel to form L 8 //L 10 Branch, L 8 //L 10 Branch and inductance L 7 Formed in series (L) 8 //L 10 )-L 7 Branch (L) 8 //L 10 )-L 7 Branch and inductance L 6 And L 9 And are connected in parallel.
The current equation of the three-phase three-column transformer constructed by the second construction module is as follows:
wherein i is AA 、i BB 、i CC A, B, C phase current representing the high side winding of a three-phase three-limb transformer; n (N) 11 Representing the number of turns of the high-voltage side winding in the three-phase three-column transformer; phi (phi) 6 Representing the magnetic flux, phi, of a first core column in a three-phase three-column transformer 7 Representing the magnetic flux, phi, of the second core leg in a three-phase three-leg transformer 8 Represents the magnetic flux phi of the third core column of the three-phase three-column transformer 9 Representing the magnetic flux of the yoke between the first and second core legs in a three-phase three-limb transformer, phi 10 Representing magnetic flux of an iron yoke between a second core column and a third core column in the three-phase three-column transformer;
p 6 flux guide, p, representing the magnetic flux of a first core column in a three-phase three-column transformer 7 Flux guide, p, representing the magnetic flux of the second core column in a three-phase three-column transformer 8 Flux guide, p, representing the magnetic flux of a third leg in a three-phase three-leg transformer 9 Flux guide representing yoke magnetic flux between first core column and second core column in three-phase three-column transformer, p 10 A flux guide representing the yoke flux between the second and third legs in the three-phase three-leg transformer,wherein mu 6 、S 6 And l 6 Respectively represents the magnetic permeability, the cross section area and the equivalent magnetic path length of a first core column in the three-phase three-column transformer, mu 7 、S 7 And l 7 Respectively represents the magnetic permeability, the cross section area and the equivalent magnetic path length of a second core column in the three-phase three-column transformer, mu 8 、S 8 And l 8 Respectively represents the magnetic permeability, the cross section area and the equivalent magnetic path length of a third core column in the three-phase three-column transformer, mu 9 、S 9 And l 9 Respectively represents the magnetic permeability, the cross section area and the equivalent magnetic path length of an iron yoke between a first iron core column and a second iron core column in the three-phase three-column transformer, mu 10 、S 10 And l 10 Respectively represents the magnetic permeability, the cross section area and the equivalent magnetic path length of an iron yoke between a second iron core post and a third iron core post in the three-phase three-post transformer, mu 6 、μ 7 、μ 8 、μ 9 、μ 10 All are determined by a JA hysteresis model;
i 6 representing the equivalent winding current, i, of the magnetic flux of a first core column in a three-phase three-column transformer 7 Representing the winding current, i, of the second core column magnetic flux equivalent in the three-phase three-column transformer 8 Winding current i representing magnetic flux equivalence of third core column of three-phase three-column transformer 9 A winding current i representing the equivalent magnetic flux of an iron yoke between a first core column and a second core column in a three-phase three-column transformer 10 Representing the equivalent winding current of the yoke flux between the second and third core legs in a three-phase three-limb transformer, i.e 6 Represent phi 6 Equivalent turns of N 11 Current of winding, i 7 Represent phi 7 Equivalent turns of N 11 Current of winding, i 8 Represent phi 8 Equivalent turns of N 11 I is the current of the windings of (1) 9 Represent phi 9 Equivalent turns of N 11 I is the current of the windings of (1) 10 Represent phi 10 Equivalent turns of N 11 And meet the requirements of
The electromotive force equation of the three-phase three-column transformer constructed by the second construction module is as follows:
wherein e 6 Representing the electromotive force of the magnetic flux of the first core column in the three-phase three-column transformer, e 7 Representing the electromotive force of the magnetic flux of the second core column in the three-phase three-column transformer, e 8 Representing the electromotive force of the magnetic flux of the third core column in the three-phase three-column transformer, e 9 E represents electromotive force of yoke magnetic flux between the first core column and the second core column in the three-phase three-column transformer 10 Represents the electromotive force of the yoke magnetic flux between the second core column and the third core column in the three-phase three-column transformer, and satisfies the following conditions φ 6 ＝φ 9 ，φ 9 ＝φ 7 +φ 10 ，φ 10 ＝φ 8 ，/>Representing the rate of change of the magnetic flux of the first core column in a three-phase three-column transformer,/for>Representing the rate of change of the magnetic flux of the second core column in a three-phase three-column transformer, +.>Representing the rate of change of the magnetic flux of the third limb in a three-phase three-limb transformer, +.>Representing the rate of change of the yoke flux between the first and second limb in a three-phase three-limb transformer, < >>The rate of change of the yoke flux between the second and third legs in a three-phase three-leg transformer is shown.
Inductance L in equivalent circuit of three-phase three-column transformer determined by the second determination module 6 Inductance L 7 Inductance L 8 Inductance L 9 Inductance L 10 The formula is as follows:
L 6 ＝N 11 p 6 N 11
L 7 ＝N 11 p 7 N 11
L 8 ＝N 11 p 8 N 11
L 9 ＝N 11 p 9 N 11
L 10 ＝N 11 p 10 N 11 。
for convenience of description, the parts of the above apparatus are described as being functionally divided into various modules or units, respectively. Of course, the functions of each module or unit may be implemented in the same piece or pieces of software or hardware when implementing the present application.
It will be appreciated by those skilled in the art that embodiments of the present application may be provided as a method, system, or computer program product. Accordingly, the present application may take the form of an entirely hardware embodiment, an entirely software embodiment, or an embodiment combining software and hardware aspects. Furthermore, the present application may take the form of a computer program product embodied on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROM, optical storage, and the like) having computer-usable program code embodied therein.
The present application is described with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems) and computer program products according to embodiments of the application. It will be understood that each flow and/or block of the flowchart illustrations and/or block diagrams, and combinations of flows and/or blocks in the flowchart illustrations and/or block diagrams, can be implemented by computer program instructions. These computer program instructions may be provided to a processor of a general purpose computer, special purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, create means for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be stored in a computer-readable memory that can direct a computer or other programmable data processing apparatus to function in a particular manner, such that the instructions stored in the computer-readable memory produce an article of manufacture including instruction means which implement the function specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be loaded onto a computer or other programmable data processing apparatus to cause a series of operational steps to be performed on the computer or other programmable apparatus to produce a computer implemented process such that the instructions which execute on the computer or other programmable apparatus provide steps for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
Finally, it should be noted that: the above embodiments are only for illustrating the technical solution of the present invention and not for limiting the same, and a person skilled in the art may still make modifications and equivalents to the specific embodiments of the present invention with reference to the above embodiments, and any modifications and equivalents not departing from the spirit and scope of the present invention are within the scope of the claims of the present invention as filed herewith.

Claims (8)

1. The transformer electromagnetic conversion method based on current decomposition and winding equivalence is characterized by comprising the following steps of:
constructing a current equation and an electromotive force equation of the single-phase two-winding transformer;
determining an equivalent circuit of the single-phase two-winding transformer according to a current equation and an electromotive force equation of the single-phase two-winding transformer;
Equivalent circuit package of single-phase two-winding transformerIncluding inductance L 1 Inductance L 2 Inductance L 3 Inductance L 4 And inductance L 5 The method comprises the steps of carrying out a first treatment on the surface of the The inductance L 2 And inductance L 5 In series to form L 2 -L 5 A branch, L 2 -L 5 Branch and inductance L 3 Formed in parallel (L) 2 -L 5 )//L 3 A branch, said (L 2 -L 5 )//L 3 Branch and inductance L 4 After being connected in series with the inductance L 1 Parallel connection;
the current equation of the single-phase two-winding transformer is as follows:
wherein phi is 1 Representing the magnetic flux, phi, of a first leg in a single-phase two-winding transformer 2 Representing the magnetic flux, phi, of the second leg in a single-phase two-winding transformer 3 Represents the magnetic flux phi of an iron yoke in a single-phase two-winding transformer 4 Represents the leakage flux phi of the first core column in the single-phase two-winding transformer 5 The leakage magnetic flux of the second core column in the single-phase two-winding transformer is represented; i.e 1 Representing the equivalent winding current, i, of the magnetic flux of the first core column in a single-phase two-winding transformer 2 Representing the winding current, i, of the second core column magnetic flux equivalent in a single-phase two-winding transformer 3 Representing the equivalent winding current, i, of the magnetic flux of an iron yoke in a single-phase two-winding transformer 4 Represents the equivalent winding current, i of the leakage flux of the first core column in the single-phase two-winding transformer 5 The equivalent winding current of the leakage magnetic flux of the second core column in the single-phase two-winding transformer is represented; i.e A Representing the current of the primary winding in a single-phase two-winding transformer, i a ' represents the current converted from the secondary winding to the primary winding in a single-phase two-winding transformer; n (N) 1 Representing the number of turns of a primary winding in a single-phase two-winding transformer; satisfy the following requirements p 1 ＝p 2 ＝p w ，p 3 ＝p y ，p 4 ＝p 5 ＝p f ，p w Flux guide, p, representing the core column flux in a single-phase two-winding transformer y Flux guide, p, representing the magnetic flux of an iron yoke in a single-phase two-winding transformer f Flux guide, p, representing leakage flux in single-phase two-winding transformer 1 Flux guide, p, representing the magnetic flux of the first core column in a single-phase two-winding transformer 2 Flux guide, p, representing the magnetic flux of the second core column in a single-phase two-winding transformer 3 Flux guide, p, representing the magnetic flux of an iron yoke in a single-phase two-winding transformer 4 Flux guide, p, representing leakage flux of first core column in single-phase two-winding transformer 5 Indicating the flux guide of the leakage flux of the second core column in the single-phase two-winding transformer, +.> Wherein mu 1 、S 1 And l 1 Represents the magnetic permeability, the cross section area and the equivalent magnetic path length of a first core column in a single-phase two-winding transformer, mu 2 、S 2 And l 2 Respectively represents the magnetic permeability, the cross section area and the equivalent magnetic path length of a second core column in the single-phase two-winding transformer, mu 3 、S 3 And l 3 Respectively shows the magnetic permeability, the cross section area and the equivalent magnetic path length of an iron yoke in a single-phase two-winding transformer, mu 1 、μ 2 、μ 3 Determining through a JA hysteresis model; />X d The method comprises the steps of expressing the calculated value of the short-circuit reactance of a single-phase two-winding transformer on a primary side winding, wherein omega represents the angular frequency of a power system;
The electromotive force equation of the single-phase two-winding transformer is as follows:
wherein e 1 Representing the electromotive force of the magnetic flux of the first core column in the single-phase two-winding transformer, e 2 Representing the electromotive force of the magnetic flux of the second core column in the single-phase two-winding transformer, e 3 Represents electromotive force of iron yoke magnetic flux in single-phase two-winding transformer, e 4 Represents the electromotive force of the leakage flux of the first core column in the single-phase two-winding transformer, e 5 Representing the electromotive force of the leakage magnetic flux of the second core column in the single-phase two-winding transformer; and satisfy the followingφ 1 ＝φ 4 +φ 3 ，φ 3 ＝φ 2 +φ 5 ，/>Representing the rate of change of the magnetic flux of the first limb in a single-phase two-winding transformer,/for>Representing the rate of change of the magnetic flux of the second core in a single-phase two-winding transformer,/for>Indicating the rate of change of the magnetic flux of the iron yoke in a single-phase two-winding transformer,/-)>Indicating the rate of change of the leakage flux of the first core column in a single-phase two-winding transformer, +.>The rate of change of the leakage flux of the second core column in the single-phase two-winding transformer is shown.
2. The current decomposition and winding equivalence based method of claim 1The electromagnetic conversion method of the transformer is characterized in that the inductance L in the equivalent circuit of the single-phase two-winding transformer 1 Inductance L 2 Inductance L 3 Inductance L 4 Inductance L 5 Calculated as follows:
L 1 ＝N 1 p 1 N 1
L 2 ＝N 1 p 2 N 1
L 3 ＝N 1 p 3 N 1
L 4 ＝N 1 p 4 N 1
L 5 ＝N 1 p 5 N 1 。
3. a transformer electromagnetic conversion device based on current decomposition and winding equivalence, characterized by comprising:
The first construction module is used for constructing a current equation and an electromotive force equation of the single-phase two-winding transformer;
the first determining module is used for determining an equivalent circuit of the single-phase two-winding transformer according to a current equation and an electromotive force equation of the single-phase two-winding transformer;
the equivalent circuit of the single-phase two-winding transformer comprises an inductance L 1 Inductance L 2 Inductance L 3 Inductance L 4 And inductance L 5 The method comprises the steps of carrying out a first treatment on the surface of the The inductance L 2 And inductance L 5 In series to form L 2 -L 5 A branch, L 2 -L 5 Branch and inductance L 3 Formed in parallel (L) 2 -L 5 )//L 3 A branch, said (L 2 -L 5 )//L 3 Branch and inductance L 4 After being connected in series with the inductance L 1 Parallel connection;
the first construction module constructs a current equation of the single-phase two-winding transformer as follows:
wherein phi is 1 Representing the magnetic flux, phi, of a first leg in a single-phase two-winding transformer 2 Representing the magnetic flux, phi, of the second leg in a single-phase two-winding transformer 3 Represents the magnetic flux phi of an iron yoke in a single-phase two-winding transformer 4 Represents the leakage flux phi of the first core column in the single-phase two-winding transformer 5 The leakage magnetic flux of the second core column in the single-phase two-winding transformer is represented; i.e 1 Representing the equivalent winding current, i, of the magnetic flux of the first core column in a single-phase two-winding transformer 2 Representing the winding current, i, of the second core column magnetic flux equivalent in a single-phase two-winding transformer 3 Representing the equivalent winding current, i, of the magnetic flux of an iron yoke in a single-phase two-winding transformer 4 Represents the equivalent winding current, i of the leakage flux of the first core column in the single-phase two-winding transformer 5 The equivalent winding current of the leakage magnetic flux of the second core column in the single-phase two-winding transformer is represented; i.e A Representing the current of the primary winding in a single-phase two-winding transformer, i a ' represents the current converted from the secondary winding to the primary winding in a single-phase two-winding transformer; n (N) 1 Representing the number of turns of a primary winding in a single-phase two-winding transformer; satisfy the following requirements p 1 ＝p 2 ＝p w ，p 3 ＝p y ，p 4 ＝p 5 ＝p f ，p w Flux guide, p, representing the core column flux in a single-phase two-winding transformer y Flux guide, p, representing the magnetic flux of an iron yoke in a single-phase two-winding transformer f Flux guide, p, representing leakage flux in single-phase two-winding transformer 1 Flux guide, p, representing the magnetic flux of the first core column in a single-phase two-winding transformer 2 Flux guide, p, representing the magnetic flux of the second core column in a single-phase two-winding transformer 3 Flux guide, p, representing the magnetic flux of an iron yoke in a single-phase two-winding transformer 4 Flux guide, p, representing leakage flux of first core column in single-phase two-winding transformer 5 Representing the second of a single-phase two-winding transformerFlux guide of leakage flux of core column, +.> Wherein mu 1 、S 1 And l 1 Represents the magnetic permeability, the cross section area and the equivalent magnetic path length of a first core column in a single-phase two-winding transformer, mu 2 、S 2 And l 2 Respectively represents the magnetic permeability, the cross section area and the equivalent magnetic path length of a second core column in the single-phase two-winding transformer, mu 3 、S 3 And l 3 Respectively shows the magnetic permeability, the cross section area and the equivalent magnetic path length of an iron yoke in a single-phase two-winding transformer, mu 1 、μ 2 、μ 3 Determining through a JA hysteresis model; />X d The method comprises the steps of expressing the calculated value of the short-circuit reactance of a single-phase two-winding transformer on a primary side winding, wherein omega represents the angular frequency of a power system;
the first construction module constructs an electromotive force equation of the single-phase two-winding transformer as follows:
wherein e 1 Representing the electromotive force of the magnetic flux of the first core column in the single-phase two-winding transformer, e 2 Representing the electromotive force of the magnetic flux of the second core column in the single-phase two-winding transformer, e 3 Represents electromotive force of iron yoke magnetic flux in single-phase two-winding transformer, e 4 Represents the electromotive force of the leakage flux of the first core column in the single-phase two-winding transformer, e 5 Representing the electromotive force of the leakage magnetic flux of the second core column in the single-phase two-winding transformer; and satisfy the followingφ 1 ＝φ 4 +φ 3 ，φ 3 ＝φ 2 +φ 5 ，/>Representing the rate of change of the magnetic flux of the first limb in a single-phase two-winding transformer,/for>Representing the rate of change of the magnetic flux of the second core in a single-phase two-winding transformer,/for>Indicating the rate of change of the magnetic flux of the iron yoke in a single-phase two-winding transformer,/-)>Indicating the rate of change of the leakage flux of the first core column in a single-phase two-winding transformer, +. >The rate of change of the leakage flux of the second core column in the single-phase two-winding transformer is shown.
4. The electromagnetic transformer switching device based on current decomposition and winding equivalence of claim 3, wherein the first determination module determines an inductance L in an equivalent circuit of a single-phase two-winding transformer of the formula 1 Inductance L 2 Inductance L 3 Inductance L 4 Inductance L 5 ：
L 1 ＝N 1 p 1 N 1
L 2 ＝N 1 p 2 N 1
L 3 ＝N 1 p 3 N 1
L 4 ＝N 1 p 4 N 1
L 5 ＝N 1 p 5 N 1 。
5. The transformer electromagnetic conversion method based on current decomposition and winding equivalence is characterized by comprising the following steps of:
constructing a current equation and an electromotive force equation of the three-phase three-column transformer;
determining an equivalent circuit of the three-phase three-column transformer according to a current equation and an electromotive force equation of the three-phase three-column transformer;
the equivalent circuit of the three-phase three-column transformer comprises an inductance L 6 Inductance L 7 Inductance L 8 Inductance L 9 And inductance L 10 The method comprises the steps of carrying out a first treatment on the surface of the The inductance L 8 And L 10 Parallel to form L 8 //L 10 A branch, L 8 //L 10 Branch and inductance L 7 Formed in series (L) 8 //L 10 )-L 7 A branch, said (L 8 //L 10 )-L 7 Branch and inductance L 6 And L 9 Parallel connection;
the current equation of the three-phase three-column transformer is as follows:
wherein i is AA 、i BB 、i CC A, B, C phase current representing the high side winding of a three-phase three-limb transformer; n (N) 11 Representing the number of turns of the high-voltage side winding in the three-phase three-column transformer; phi (phi) 6 Representing the magnetic flux, phi, of a first core column in a three-phase three-column transformer 7 Representing the magnetic flux, phi, of the second core leg in a three-phase three-leg transformer 8 Represents the magnetic flux phi of the third core column of the three-phase three-column transformer 9 Representing the magnetic flux of the yoke between the first and second core legs in a three-phase three-limb transformer, phi 10 Representing magnetic flux of an iron yoke between a second core column and a third core column in the three-phase three-column transformer;
i 6 representing the equivalent winding current, i, of the magnetic flux of a first core column in a three-phase three-column transformer 7 Represents the winding current equivalent to the magnetic flux of the second core column in the three-phase three-column transformer,i 8 winding current i representing magnetic flux equivalence of third core column of three-phase three-column transformer 9 A winding current i representing the equivalent magnetic flux of an iron yoke between a first core column and a second core column in a three-phase three-column transformer 10 A winding current equivalent to the yoke magnetic flux between the second core column and the third core column in the three-phase three-column transformer;
p 6 flux guide, p, representing the magnetic flux of a first core column in a three-phase three-column transformer 7 Flux guide, p, representing the magnetic flux of the second core column in a three-phase three-column transformer 8 Flux guide, p, representing the magnetic flux of a third leg in a three-phase three-leg transformer 9 Flux guide representing yoke magnetic flux between first core column and second core column in three-phase three-column transformer, p 10 A flux guide representing the yoke flux between the second and third legs in the three-phase three-leg transformer,wherein mu 6 、S 6 And l 6 Respectively represents the magnetic permeability, the cross section area and the equivalent magnetic path length of a first core column in the three-phase three-column transformer, mu 7 、S 7 And l 7 Respectively represents the magnetic permeability, the cross section area and the equivalent magnetic path length of a second core column in the three-phase three-column transformer, mu 8 、S 8 And l 8 Respectively represents the magnetic permeability, the cross section area and the equivalent magnetic path length of a third core column in the three-phase three-column transformer, mu 9 、S 9 And l 9 Respectively represents the magnetic permeability, the cross section area and the equivalent magnetic path length of an iron yoke between a first iron core column and a second iron core column in the three-phase three-column transformer, mu 10 、S 10 And l 10 Respectively represents the magnetic permeability, the cross section area and the equivalent magnetic path length of an iron yoke between a second iron core post and a third iron core post in the three-phase three-post transformer, mu 6 、μ 7 、μ 8 、μ 9 、μ 10 All are determined by a JA hysteresis model;
i 6 represent phi 6 Equivalent turns of N 11 Current of winding, i 7 Represent phi 7 Equivalent turns of N 11 Current of winding, i 8 Represent phi 8 Equivalent turns of N 11 I is the current of the windings of (1) 9 Represent phi 9 Equivalent turns of N 11 I is the current of the windings of (1) 10 Represent phi 10 Equivalent turns of N 11 And meet the requirements of
The electromotive force equation of the three-phase three-column transformer is as follows:
Wherein e 6 Representing the electromotive force of the magnetic flux of the first core column in the three-phase three-column transformer, e 7 Representing the electromotive force of the magnetic flux of the second core column in the three-phase three-column transformer, e 8 Representing the electromotive force of the magnetic flux of the third core column in the three-phase three-column transformer, e 9 E represents electromotive force of yoke magnetic flux between the first core column and the second core column in the three-phase three-column transformer 10 Represents the electromotive force of the yoke magnetic flux between the second core column and the third core column in the three-phase three-column transformer, and satisfies the following conditions φ 6 ＝φ 9 ，φ 9 ＝φ 7 +φ 10 ，φ 10 ＝φ 8 ，/>Representing the rate of change of the magnetic flux of the first core column in a three-phase three-column transformer,/for>Indicating the rate of change of the magnetic flux of the second leg in the three-phase three-leg transformer,/>representing the rate of change of the magnetic flux of the third limb in a three-phase three-limb transformer, +.>Representing the rate of change of the yoke flux between the first and second limb in a three-phase three-limb transformer, < >>The rate of change of the yoke flux between the second and third legs in a three-phase three-leg transformer is shown.
6. The electromagnetic conversion method of the transformer based on current decomposition and winding equivalence according to claim 5, wherein the inductance L in the equivalent circuit of the three-phase three-pole transformer 6 Inductance L 7 Inductance L 8 Inductance L 9 Inductance L 10 Calculated as follows:
L 6 ＝N 11 p 6 N 11
L 7 ＝N 11 p 7 N 11
L 8 ＝N 11 p 8 N 11
L 9 ＝N 11 p 9 N 11
L 10 ＝N 11 p 10 N 11 。
7. A transformer electromagnetic conversion device based on current decomposition and winding equivalence, characterized by comprising:
the second construction module is used for constructing a current equation and an electromotive force equation of the three-phase three-column transformer;
the second determining module is used for determining an equivalent circuit of the three-phase three-column transformer according to a current equation and an electromotive force equation of the three-phase three-column transformer;
the equivalent circuit of the three-phase three-column transformer comprises an inductance L 6 Inductance L 7 Inductance L 8 Inductance L 9 And inductance L 10 The method comprises the steps of carrying out a first treatment on the surface of the The inductance L 8 And L 10 Parallel to form L 8 //L 10 A branch, L 8 //L 10 Branch and inductance L 7 Formed in series (L) 8 //L 10 )-L 7 A branch, said (L 8 //L 10 )-L 7 Branch and inductance L 6 And L 9 Parallel connection;
the second construction module constructs a current equation of the three-phase three-column transformer as follows:
wherein i is AA 、i BB 、i CC A, B, C phase current representing the high side winding of a three-phase three-limb transformer; n (N) 11 Representing the number of turns of the high-voltage side winding in the three-phase three-column transformer; phi (phi) 6 Representing the magnetic flux, phi, of a first core column in a three-phase three-column transformer 7 Representing the magnetic flux, phi, of the second core leg in a three-phase three-leg transformer 8 Represents the magnetic flux phi of the third core column of the three-phase three-column transformer 9 Representing the magnetic flux of the yoke between the first and second core legs in a three-phase three-limb transformer, phi 10 Representing magnetic flux of an iron yoke between a second core column and a third core column in the three-phase three-column transformer;
i 6 representing the equivalent winding current, i, of the magnetic flux of a first core column in a three-phase three-column transformer 7 Representing the winding current, i, of the second core column magnetic flux equivalent in the three-phase three-column transformer 8 Winding current i representing magnetic flux equivalence of third core column of three-phase three-column transformer 9 A winding current i representing the equivalent magnetic flux of an iron yoke between a first core column and a second core column in a three-phase three-column transformer 10 A winding current equivalent to the yoke magnetic flux between the second core column and the third core column in the three-phase three-column transformer;
p 6 representing three phasesFlux guide of magnetic flux of first core column in three-column transformer, p 7 Flux guide, p, representing the magnetic flux of the second core column in a three-phase three-column transformer 8 Flux guide, p, representing the magnetic flux of a third leg in a three-phase three-leg transformer 9 Flux guide representing yoke magnetic flux between first core column and second core column in three-phase three-column transformer, p 10 A flux guide representing the yoke flux between the second and third legs in the three-phase three-leg transformer,wherein mu 6 、S 6 And l 6 Respectively represents the magnetic permeability, the cross section area and the equivalent magnetic path length of a first core column in the three-phase three-column transformer, mu 7 、S 7 And l 7 Respectively represents the magnetic permeability, the cross section area and the equivalent magnetic path length of a second core column in the three-phase three-column transformer, mu 8 、S 8 And l 8 Respectively represents the magnetic permeability, the cross section area and the equivalent magnetic path length of a third core column in the three-phase three-column transformer, mu 9 、S 9 And l 9 Respectively represents the magnetic permeability, the cross section area and the equivalent magnetic path length of an iron yoke between a first iron core column and a second iron core column in the three-phase three-column transformer, mu 10 、S 10 And l 10 Respectively represents the magnetic permeability, the cross section area and the equivalent magnetic path length of an iron yoke between a second iron core post and a third iron core post in the three-phase three-post transformer, mu 6 、μ 7 、μ 8 、μ 9 、μ 10 All are determined by a JA hysteresis model;
i 6 represent phi 6 Equivalent turns of N 11 Current of winding, i 7 Represent phi 7 Equivalent turns of N 11 Current of winding, i 8 Represent phi 8 Equivalent turns of N 11 I is the current of the windings of (1) 9 Represent phi 9 Equivalent turns of N 11 I is the current of the windings of (1) 10 Represent phi 10 Equivalent turns of N 11 And meet the requirements of
The second construction module constructs an electromotive force equation of the three-phase three-column transformer as follows:
wherein e 6 Representing the electromotive force of the magnetic flux of the first core column in the three-phase three-column transformer, e 7 Representing the electromotive force of the magnetic flux of the second core column in the three-phase three-column transformer, e 8 Representing the electromotive force of the magnetic flux of the third core column in the three-phase three-column transformer, e 9 E represents electromotive force of yoke magnetic flux between the first core column and the second core column in the three-phase three-column transformer 10 Represents the electromotive force of the yoke magnetic flux between the second core column and the third core column in the three-phase three-column transformer, and satisfies the following conditions φ 6 ＝φ 9 ，φ 9 ＝φ 7 +φ 10 ，φ 10 ＝φ 8 ，/>Representing the rate of change of the magnetic flux of the first core column in a three-phase three-column transformer,/for>Representing the rate of change of the magnetic flux of the second core column in a three-phase three-column transformer, +.>Representing the rate of change of the magnetic flux of the third limb in a three-phase three-limb transformer, +.>Representing the rate of change of the yoke flux between the first and second limb in a three-phase three-limb transformer, < >>The rate of change of the yoke flux between the second and third legs in a three-phase three-leg transformer is shown.
8. The electromagnetic transformer switching device based on current splitting and winding equivalency of claim 7, wherein the second determining module determines the inductance L in the equivalent circuit of a three-phase three-pole transformer as follows 6 Inductance L 7 Inductance L 8 Inductance L 9 Inductance L 10 ：
L 6 ＝N 11 p 6 N 11
L 7 ＝N 11 p 7 N 11
L 8 ＝N 11 p 8 N 11
L 9 ＝N 11 p 9 N 11
L 10 ＝N 11 p 10 N 11 。
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