CN112084679A - Equivalent magnetic circuit modeling method of electromagnetic actuator considering eddy current distribution nonuniformity - Google Patents

Equivalent magnetic circuit modeling method of electromagnetic actuator considering eddy current distribution nonuniformity Download PDF

Info

Publication number
CN112084679A
CN112084679A CN202011096156.6A CN202011096156A CN112084679A CN 112084679 A CN112084679 A CN 112084679A CN 202011096156 A CN202011096156 A CN 202011096156A CN 112084679 A CN112084679 A CN 112084679A
Authority
CN
China
Prior art keywords
magnetic
electromagnetic actuator
area
current
layer
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Granted
Application number
CN202011096156.6A
Other languages
Chinese (zh)
Other versions
CN112084679B (en
Inventor
赵建辉
卢相东
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Harbin Engineering University
Original Assignee
Harbin Engineering University
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Harbin Engineering University filed Critical Harbin Engineering University
Priority to CN202011096156.6A priority Critical patent/CN112084679B/en
Publication of CN112084679A publication Critical patent/CN112084679A/en
Application granted granted Critical
Publication of CN112084679B publication Critical patent/CN112084679B/en
Active legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Images

Classifications

    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/20—Design optimisation, verification or simulation

Landscapes

  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Computer Hardware Design (AREA)
  • Evolutionary Computation (AREA)
  • Geometry (AREA)
  • General Engineering & Computer Science (AREA)
  • General Physics & Mathematics (AREA)
  • Electromagnets (AREA)

Abstract

The invention aims to provide an equivalent magnetic circuit modeling method of an electromagnetic actuator considering the nonuniformity of eddy current distribution, which comprises the following steps: dividing A-D according to the structure of the electromagnetic actuator, and defining the eddy current of the first layer and the nth layer on each zone as iR11And iR1nCalculating the eddy resistance corresponding to the first layer and the nth layer, and defining the equivalent current of an air gap part between an iron core and an armature of the electromagnetic actuator as igkThe equivalent inductance of the leakage part of the A-D region is defined as Lair1～Lair4And calculating the magnetic linkage between two adjacent thin layers in the areas A to D, and calculating the main circuit current i so as to obtain the magnetic flux phi of the electromagnetic actuator. The invention realizes the consideration that the existing method can not solve the nonlinear magnetization and magnetic saturation phenomena of the magnetic material of the iron core, in particular the eddy current effect in the magnetic field. The modeling method provided by the invention can be used for accurately predicting the dynamic performance of the electromagnetic actuator.

Description

Equivalent magnetic circuit modeling method of electromagnetic actuator considering eddy current distribution nonuniformity
Technical Field
The invention relates to an electromagnetic actuator, in particular to an electromagnetic actuator of a high-pressure common rail system.
Background
The high-speed electromagnetic actuator is a core control component of a high-pressure common rail system, and directly determines the injection characteristic of the common rail system, so that the dynamic property and the emission property of a diesel engine are influenced. Generally, a three-dimensional finite element method is adopted to carry out design optimization on an electromagnetic actuator, however, three-dimensional electromagnetic calculation is time-consuming and cannot realize rapid calculation comparison on different schemes. The more outstanding problem is that the three-dimensional finite element method cannot realize the coupling calculation of the electromagnetic actuator and the hydraulic component, the mechanical component and the like of the high-pressure common rail system, so that the influence of the dynamic performance of the electromagnetic actuator on the injection characteristic of the common rail system cannot be accurately predicted. Therefore, a one-dimensional electromagnetic model based on an equivalent magnetic circuit method with high calculation speed and high calculation accuracy is widely developed. When the invention patent 'permanent magnet synchronous linear motor modeling and characteristic analysis method based on an equivalent magnetic circuit method' is used for modeling, a permanent magnet synchronous motor magnetic circuit is divided into a linear motor primary part magnetic circuit, an air gap and a motor secondary part magnetic circuit, however, the model does not consider the magnetic saturation of an iron core, which is against the magnetic saturation characteristic existing in a real magnetic material. The invention discloses a permanent magnet synchronous motor field loss fault equivalent magnetic circuit model establishing method, which neglects the magnetic resistance of a stator core and the magnetic resistance of a rotor during modeling, and assumes that a silicon steel sheet of a permanent magnet synchronous motor is in an unsaturated state, thereby establishing a simplified equivalent magnetic circuit model. In fact, in an equivalent magnetic circuit model of an electromagnetic actuator such as a high-speed motor or a high-speed solenoid valve, it is necessary to consider the non-uniformity of eddy current distribution in the radial direction of the core material due to the saturation characteristic of the magnetic field and the skin effect.
Disclosure of Invention
The invention aims to provide an equivalent magnetic circuit modeling method of an electromagnetic actuator considering the eddy current distribution nonuniformity, which overcomes the defects that the magnetic property of an iron core, the eddy current property and the like are not considered in the conventional equivalent magnetic circuit method of the electromagnetic actuator.
The purpose of the invention is realized as follows:
the invention relates to an equivalent magnetic circuit modeling method of an electromagnetic actuator considering the nonuniformity of eddy current distribution, which is characterized by comprising the following steps:
(1) the method comprises the following steps of carrying out partition division according to the structure of an electromagnetic actuator, defining an inner magnetic pole part as an A area, an outer magnetic pole part as a B area, an area which is connected with the inner magnetic pole and the outer magnetic pole and is positioned above a coil winding as a C area, and an armature part as a D area; dividing the four defined areas into n layers of slices with equal thickness in the radial direction, and assuming that the eddy current in each layer of iron chip slice is uniformly distributed;
(2) defining the first layer and the n-th layer on the A regionEddy currents are respectively iR11And iR1nThe eddy resistance corresponding to the first layer and the nth layer is R11And R1nSimilarly, the eddy current in the B, C and D regions is i from the first layer to the n-th layerR21～iR2n、iR31～iR3n、iR41～iR4nEach sheet has a sheet eddy resistance of R11～R1n、R21～R2n、R31～R3n、R41～R4nThe calculation formula of the in-sheet eddy resistance is as follows:
Figure BDA0002723810610000021
in the above formula, m is 1 to 4, q is 1 to n, and ρ ismIs the resistivity of the material, N is the number of turns of the coil, lmqIs the flow distance of the vortex, SmqIs the flow area of the vortex;
(3) defining the equivalent current of an air gap part between an iron core and an armature of the electromagnetic actuator as igk：
Figure BDA0002723810610000022
In the above formula, k is 1 or 2, mu0Is the vacuum permeability, SgkAnd phigkRespectively the effective flux area and the flux of the air gap portion,/gkIs the distance of the flux in the air gap portion;
(4) when the leakage phenomenon of the electromagnetic actuator is considered, the equivalent inductance of the leakage part of the A-D region is defined as Lair1～Lair4The calculation formula is as follows:
Figure BDA0002723810610000023
in the above formula, x is 1 to 4, SmIs the area of magnetic flux,/mIs the magnetic flux distance; according to the relation between the inductance and the current in the four leakage magnetic regions, the effective current is calculated as follows:
Figure BDA0002723810610000024
in the above formula, E is a driving voltage loaded to the electromagnetic actuator, RR is a driving circuit trunk resistance, and i is a driving circuit trunk current;
(5) and calculating the magnetic linkage between two adjacent thin layers in the areas A to D, wherein the calculation formula is as follows:
ψmp＝∫iRmp·Rmp-iRm(p+1)·Rm(p+1)dt m＝1～4,p＝1～(n-1)
in the above formula, the eddy current i of two adjacent thin layersRmpAnd iRm(p+1)Solving by kirchhoff's law; and calculating the magnetic induction intensity between two adjacent thin layers according to the magnetic linkage obtained by the formula:
Figure BDA0002723810610000031
in the above formula, SmpThe effective area through which the magnetic induction line passes; magnetic induction B in magnetization curve is obtained by data interpolation methodmpCorresponding magnetic field strength HmpFurther calculate the current I corresponding to the equivalent inductance between two adjacent thin layersmp：
Figure BDA0002723810610000032
(6) According to kirchhoff's law, the formula
Figure BDA0002723810610000033
Figure BDA0002723810610000034
ψmp＝∫iRmp·Rmp-iRm(p+1)·Rm(p+1)dt m is 1-4, p is 1 to (n-1), and a main circuit current i is calculated, so that an electromagnetic actuator magnetic flux phi:
Figure BDA0002723810610000035
the invention has the advantages that: the invention realizes the consideration that the existing method can not solve the nonlinear magnetization and magnetic saturation phenomena of the magnetic material of the iron core, in particular the eddy current effect in the magnetic field. The modeling method provided by the invention can be used for accurately predicting the dynamic performance of the electromagnetic actuator.
Drawings
FIG. 1 is a schematic view of a partitioned layer of an electromagnetic actuator;
FIG. 2 is a schematic diagram of an equivalent magnetic circuit of a constructed electromagnetic actuator;
FIG. 3 is a flow chart of the present invention.
Detailed Description
The invention will now be described in more detail by way of example with reference to the accompanying drawings in which:
with reference to fig. 1-3, the specific steps of the present invention are as follows:
(1) the electromagnetic actuator is divided into regions according to the structure of the electromagnetic actuator, an inner magnetic pole part is defined as a region A, an outer magnetic pole part is defined as a region B, a region which is connected with the inner magnetic pole and the outer magnetic pole and is positioned above a coil winding is defined as a region C, and an armature part is defined as a region D. As shown in fig. 1, six layers of equal-thickness slices are divided in the radial direction for the four regions defined above, and assuming that the eddy current in each layer of iron chip is uniformly distributed, fig. 2 is a structural view of the equivalent magnetic circuit of the electromagnetic actuator constructed by dividing.
(2) Defining the eddy current of the first layer and the sixth layer on the A area as iR11And iR16And the first layer and the sixth layer have a corresponding eddy resistance R11And R16Similarly, the eddy current in the B, C and D regions is i from the first layer to the sixth layerR21～iR26、iR31～iR36、iR41～iR46Each sheet has a sheet eddy resistance of R11～R16、R21～R26、R31～R36、R41～R46. The calculation formula of the in-sheet eddy resistance is as follows:
Figure BDA0002723810610000041
in the above formula, m is 1 to 4, q is 1 to 6, and ρ ismIs the resistivity of the material, N is the number of turns of the coil, lmqIs the flow distance of the vortex, SmqIs the flow area of the vortex.
(3) Defining the equivalent current of an air gap part between an iron core and an armature of the electromagnetic actuator as igkThe calculation formula is as follows:
Figure BDA0002723810610000042
in the above formula, k is 1 or 2, mu0Is the vacuum permeability, SgkAnd phigkRespectively the effective flux area and the flux of the air gap portion,/gkIs the distance of the flux in the air gap portion.
(4) When the leakage phenomenon of the electromagnetic actuator is considered, the equivalent inductance of the leakage part of the A-D region is defined as Lair1～Lair4The calculation formula is as follows:
Figure BDA0002723810610000043
in the above formula, x is 1 to 4, SmIs the area of magnetic flux,/mIs the flux distance. According to the relation between the inductance and the current in the four leakage magnetic regions, the effective current is calculated as follows:
Figure BDA0002723810610000044
in the above formula, E is a driving voltage applied to the electromagnetic actuator, and RR is a driving circuit trunk resistance. i is the main circuit current of the driving circuit.
(5) And calculating the magnetic linkage between two adjacent thin layers in the areas A to D, wherein the calculation formula is as follows:
ψmp＝∫iRmp·Rmp-iRm(p+1)·Rm(p+1)dt m＝1～4,p＝1～5 (5)
in the above formula, the eddy current i of two adjacent thin layersRmpAnd iRm(p+1)Calculated by kirchhoff's law. And (3) calculating the magnetic induction intensity between two adjacent thin layers according to the magnetic linkage obtained by the formula (5) as follows:
Figure BDA0002723810610000051
in the above formula, SmpIs the effective area through which the magnetic induction line passes. Magnetic induction B in magnetization curve is obtained by data interpolation methodmpCorresponding magnetic field strength HmpFurther calculate the current I corresponding to the equivalent inductance between two adjacent thin layersmp：
Figure BDA0002723810610000052
(6) According to kirchhoff's law, calculating a main circuit current i by the formulas (3), (4) and (5) to obtain a magnetic flux phi of the electromagnetic actuator:
Figure BDA0002723810610000053
。

Claims (1)

1. an equivalent magnetic circuit modeling method of an electromagnetic actuator considering the nonuniformity of eddy current distribution is characterized by comprising the following steps:
(1) the method comprises the following steps of carrying out partition division according to the structure of an electromagnetic actuator, defining an inner magnetic pole part as an A area, an outer magnetic pole part as a B area, an area which is connected with the inner magnetic pole and the outer magnetic pole and is positioned above a coil winding as a C area, and an armature part as a D area; dividing the four defined areas into n layers of slices with equal thickness in the radial direction, and assuming that the eddy current in each layer of iron chip slice is uniformly distributed;
(2) defining the eddy current of the first layer and the nth layer on the A area as iR11And iR1nThe eddy resistance corresponding to the first layer and the nth layer is R11And R1nSimilarly, the eddy current in the B, C and D regions is i from the first layer to the n-th layerR21～iR2n、iR31～iR3n、iR41～iR4nEach sheet has a sheet eddy resistance of R11～R1n、R21～R2n、R31～R3n、R41～R4nThe calculation formula of the in-sheet eddy resistance is as follows:
Figure FDA0002723810600000011
in the above formula, m is 1 to 4, q is 1 to n, and ρ ismIs the resistivity of the material, N is the number of turns of the coil, lmqIs the flow distance of the vortex, SmqIs the flow area of the vortex;
(3) defining the equivalent current of an air gap part between an iron core and an armature of the electromagnetic actuator as igk：
Figure FDA0002723810600000012
In the above formula, k is 1 or 2, mu0Is the vacuum permeability, SgkAnd phigkRespectively the effective flux area and the flux of the air gap portion,/gkIs the distance of the flux in the air gap portion;
(4) when the leakage phenomenon of the electromagnetic actuator is considered, the equivalent inductance of the leakage part of the A-D region is defined as Lair1～Lair4The calculation formula is as follows:
Figure FDA0002723810600000013
in the above formula, x is 1 to 4, SmIs the area of magnetic flux,/mIs the magnetic flux distance; according to the relation between the inductance and the current in the four leakage magnetic regions, the effective current is calculated as follows:
Figure FDA0002723810600000014
in the above formula, E is a driving voltage loaded to the electromagnetic actuator, RR is a driving circuit trunk resistance, and i is a driving circuit trunk current;
(5) and calculating the magnetic linkage between two adjacent thin layers in the areas A to D, wherein the calculation formula is as follows:
ψmp＝∫iRmp·Rmp-iRm(p+1)·Rm(p+1)dt m＝1～4,p＝1～(n-1)
in the above formula, the eddy current i of two adjacent thin layersRmpAnd iRm(p+1)Solving by kirchhoff's law; and calculating the magnetic induction intensity between two adjacent thin layers according to the magnetic linkage obtained by the formula:
Figure FDA0002723810600000021
in the above formula, SmpThe effective area through which the magnetic induction line passes; magnetic induction B in magnetization curve is obtained by data interpolation methodmpCorresponding magnetic field strength HmpFurther calculate the current I corresponding to the equivalent inductance between two adjacent thin layersmp：
Figure FDA0002723810600000022
(6) According to kirchhoff's law, the formula
Figure FDA0002723810600000023
Figure FDA0002723810600000024
ψmp＝∫iRmp·Rmp-iRm(p+1)·Rm(p+1)dt m is 1-4, p is 1 to (n-1), and a main circuit current i is calculated, so that an electromagnetic actuator magnetic flux phi:
Figure FDA0002723810600000025
CN202011096156.6A 2020-10-14 2020-10-14 Equivalent magnetic circuit modeling method of electromagnetic actuator considering eddy current distribution nonuniformity Active CN112084679B (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN202011096156.6A CN112084679B (en) 2020-10-14 2020-10-14 Equivalent magnetic circuit modeling method of electromagnetic actuator considering eddy current distribution nonuniformity

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN202011096156.6A CN112084679B (en) 2020-10-14 2020-10-14 Equivalent magnetic circuit modeling method of electromagnetic actuator considering eddy current distribution nonuniformity

Publications (2)

Publication Number Publication Date
CN112084679A true CN112084679A (en) 2020-12-15
CN112084679B CN112084679B (en) 2022-06-17

Family

ID=73729858

Family Applications (1)

Application Number Title Priority Date Filing Date
CN202011096156.6A Active CN112084679B (en) 2020-10-14 2020-10-14 Equivalent magnetic circuit modeling method of electromagnetic actuator considering eddy current distribution nonuniformity

Country Status (1)

Country Link
CN (1) CN112084679B (en)

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN113964964A (en) * 2021-11-15 2022-01-21 西安热工研究院有限公司 Permanent magnet demagnetization fault simulation device of permanent magnet wind driven generator based on electric signals

Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN104063556A (en) * 2014-07-07 2014-09-24 东南大学 Modeling method of axial permanent magnetic motor equivalent magnetic circuit model
CN107688679A (en) * 2016-08-04 2018-02-13 华北电力大学 A kind of modeling method of silicon sheet core wideband circuit model
CN107992663A (en) * 2017-11-27 2018-05-04 中国矿业大学 A kind of switched reluctance machines dynamic circuit modeling method for considering iron loss
CN110289747A (en) * 2019-07-25 2019-09-27 青岛远洋船员职业学院 A kind of equivalent magnetic circuit modeling method of linear vibration motor

Patent Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN104063556A (en) * 2014-07-07 2014-09-24 东南大学 Modeling method of axial permanent magnetic motor equivalent magnetic circuit model
CN107688679A (en) * 2016-08-04 2018-02-13 华北电力大学 A kind of modeling method of silicon sheet core wideband circuit model
CN107992663A (en) * 2017-11-27 2018-05-04 中国矿业大学 A kind of switched reluctance machines dynamic circuit modeling method for considering iron loss
CN110289747A (en) * 2019-07-25 2019-09-27 青岛远洋船员职业学院 A kind of equivalent magnetic circuit modeling method of linear vibration motor

Non-Patent Citations (2)

* Cited by examiner, † Cited by third party
Title
JIANHUI ZHAO等: "Eddy current effects on the dynamic response of high-speed solenoid valve for common rail injector", 《INTERNATIONAL JOURNAL OF APPLIED ELECTROMAGNETICS AND MECHANICS》 *
孔祥栋等: "GDI喷油器电磁场对动态响应特性影响的研究", 《汽车工程》 *

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN113964964A (en) * 2021-11-15 2022-01-21 西安热工研究院有限公司 Permanent magnet demagnetization fault simulation device of permanent magnet wind driven generator based on electric signals
CN113964964B (en) * 2021-11-15 2023-03-21 西安热工研究院有限公司 Permanent magnet demagnetization fault simulation device of permanent magnet wind driven generator based on electric signals

Also Published As

Publication number Publication date
CN112084679B (en) 2022-06-17

Similar Documents

Publication Publication Date Title
Nehl et al. Determination of saturated values of rotating machinery incremental and apparent inductances by an energy perturbation method
EP3457534A1 (en) Rotating electric machine
CN112084679B (en) Equivalent magnetic circuit modeling method of electromagnetic actuator considering eddy current distribution nonuniformity
CN112257231B (en) Permanent magnet motor analysis method and system considering nonlinear characteristics of silicon steel sheet and application
CN202142926U (en) Motor rotor and motor with same
CN110851949A (en) Method for analyzing electromagnetic performance of multilayer magnetic barrier permanent magnet auxiliary type synchronous reluctance motor
Labak et al. Novel approaches towards leakage flux reduction in axial flux switched reluctance machines
Zhang et al. Design and analysis of a novel frequency modulation secondary for high-speed permanent magnet linear synchronous motor
Dai et al. Loss analysis of electromagnetic linear actuator
JP5884160B2 (en) Performance analysis method of motor for hybrid vehicle
Nishanth et al. Characterization of an axial flux machine with an additively manufactured stator
CN109768685B (en) Surface-mounted permanent magnet motor armature magnetic field reconstruction method based on single-slot model
De La Ree et al. Magnet shaping to reduce induced voltage harmonics in PM machines with surface mounted magnets
US7446441B2 (en) Outer rotor type hybrid stepping motor
Hu et al. Analytical modeling of magnetic field considering the saturation in switched reluctance motor
CN1767089A (en) Block-shaped soft magnetic alloy lamination element and its manufacturing method
Golovanov et al. Analytical methodology for eddy current loss simulation in armature windings of synchronous electrical machines with permanent magnets
CN112257239B (en) High-speed electromagnetic actuator dynamic performance calculation method considering eddy current effect
CN114580226A (en) Design method of E-shaped iron core hybrid excitation flux switching motor
Tsunata et al. Designing and Prototyping an Axial-Flux Machine Using Ferrite PM and Round Wire for Traction Applications: Comparison with a Radial-Flux Machine Using Nd-Fe-B PM and Rectangular Wire
Ebihara et al. Characteristic analysis of surface motor
CN103411015B (en) The single-phase piece insertion type direct acting electromagnet of force-displacement behavior symmetry
CN101034820A (en) High-performance magnetic resistance motor
CN117749010A (en) Magnetic field calculation method of parallel magnetic circuit axial flux permanent magnet motor
Williams Aviation electrification-choosing your motor topology and material advancements

Legal Events

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