EP3215964A2 - Procédé de calcul pour la conception de systèmes de réluctance, et programme informatique - Google Patents

Procédé de calcul pour la conception de systèmes de réluctance, et programme informatique

Info

Publication number
EP3215964A2
EP3215964A2 EP15778204.6A EP15778204A EP3215964A2 EP 3215964 A2 EP3215964 A2 EP 3215964A2 EP 15778204 A EP15778204 A EP 15778204A EP 3215964 A2 EP3215964 A2 EP 3215964A2
Authority
EP
European Patent Office
Prior art keywords
calculation method
calculation
magnetic
energy
reluctance
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.)
Withdrawn
Application number
EP15778204.6A
Other languages
German (de)
English (en)
Inventor
Hans-Jürgen Remus
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.)
REMUS, HANS-JUERGEN
Original Assignee
Individual
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 Individual filed Critical Individual
Publication of EP3215964A2 publication Critical patent/EP3215964A2/fr
Withdrawn legal-status Critical Current

Links

Classifications

    • G—PHYSICS
    • G06—COMPUTING OR CALCULATING; COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10—Complex mathematical operations
    • G06F17/11—Complex mathematical operations for solving equations, e.g. nonlinear equations, general mathematical optimization problems
    • G—PHYSICS
    • G06—COMPUTING OR CALCULATING; COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/10—Geometric CAD
    • G06F30/15—Vehicle, aircraft or watercraft design
    • G—PHYSICS
    • G06—COMPUTING OR CALCULATING; COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/20—Design optimisation, verification or simulation
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02K—DYNAMO-ELECTRIC MACHINES
    • H02K19/00—Synchronous motors or generators
    • H02K19/02—Synchronous motors
    • H02K19/10—Synchronous motors for multi-phase current
    • H02K19/103—Motors having windings on the stator and a variable reluctance soft-iron rotor without windings
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02K—DYNAMO-ELECTRIC MACHINES
    • H02K2201/00—Specific aspects not provided for in the other groups of this subclass relating to the magnetic circuits
    • H02K2201/03—Machines characterised by aspects of the air-gap between rotor and stator

Definitions

  • the invention relates to a calculation method for the design of reluctance systems by balancing the inner and outer
  • the invention relates to a computer program according to the tenth claim.
  • Linear motors conventional traction devices. To do so, there are more and more complex geometries
  • Magnetostriction As far as M is concerned, this is an expression of a fact. In terms of is it a calculation rule; the actual process can be divided into two parts:
  • V the electrical
  • V the magnetic el m
  • V el the electric
  • V m the magnetic
  • the specific area force p, at an interface between substances with different permeabilities, is equal to the difference of the energy densities in these permeable
  • the graphic representation (FIG. 6) alone shows the strong influence of the internal energy density in the permanent magnet, while it is negligible in the case of the electromagnet. If one applies the Maxwellian stress tensor to one of the separating surfaces of the magnet then the difference of the fictitious tensions becomes on the left and on the right side of the interface, to determine the perceptible force.
  • the following expression for the force results:
  • the energy balance requires a combination of voltage source equivalent circuit for the circuit and a current source equivalent circuit for the permanent magnet.
  • the energy distribution of the permanent magnet and the electromagnet alone are also included as special cases in it. In the usual
  • the invention is based on the object, a precise
  • This object is according to claim 1 by a calculation method for the design of reluctance systems by balancing the internal and external energy system with
  • Material selection dimensioning of the electromagnet consisting of coil and core (length, height, width, shape, number of turns,
  • Coil conductor thickness choice of material
  • dimensioning of the air gap positioning of permanent magnet and electromagnet to each other
  • energizing the electromagnet energizing the electromagnet
  • H e and H * are contrary to the state of science and technology:
  • the aim of such a calculation is the calculation of a
  • a value that is approaching 1 is to be understood as minimum.
  • the rating value is understood to be any value that increases as the sum of the energy balance increases. This can be done, for example, by multiplying at least one of the values by a random number or by adding a value to at least one of the values (I).
  • the change is proportional to the valuation value and inversely proportional to the number of changes, so that after a large number of changes, the optimization of the valuation pattern is almost completed.
  • the significant change in arousal takes place at the beginning of the optimization.
  • Rating value delays the end of the optimization, but can also restart the near-completed optimization. If the rating is ideally minimal, then the energy balance goes to 1 and a new calculation no longer takes place.
  • Consists e.g. a Relunktanzsystempartner from an electromagnet with a toothed structure, is after the
  • Integral equation method of the equivalent magnetic conductance or the attractive force and thrust known for a particular position To get unknown intermediate values from these ordered
  • interpolation In the narrower sense, we mean the reconstruction of a function f (x) from values f (xi) given at discrete places xi. From the technical
  • this space is represented by the air gap zone.
  • the edge is formed by the stator and rotor surfaces. On the surfaces are then the
  • the fictitious stress state in the nonlinear medium can be described as follows: For each area unit perpendicular to the field H, a normal train of magnitude acts along the field lines:
  • the stress tensor p can be represented by different expressions:
  • Magnetizing function always be greater than the angle ⁇ between the magnetic field strength H and the
  • the reluctance system consists of rotor and stator of an electric motor.
  • the term "electric motor” also includes linear motors.
  • the stator lamination shown in FIG 23 has twelve toothed poles with ten teeth each.
  • the resulting tooth pitch corresponds to a total number of teeth of 132 teeth, since the gap between each two poles equals a Stator leopard whatsoever.
  • Statornuten housed three-phase winding generated under
  • FIG. 25 shows the partial development of rotor and stator. In the air gap zone 1, the teeth of rotor and stator are exactly opposite. For this position, the magnetic conductance reaches its maximum value. Now moves the rotor from stator tooth 1 to stator tooth 2, the shifts
  • the rotor has the way
  • This reduction factor R is dependent exclusively on the number of rotor and stator teeth, which results in a synchronous rotor speed which represents a fraction of the rotating field speed of the stator.
  • the air gap can be divided into constant air gap zones, from which the magnetic conductance can be calculated
  • the previous calculation step follows the determination of its torque by the induced voltage of the electric motor.
  • This has the advantage, in particular for geometrically complex reluctance systems, that all reluctance components are taken into account in the calculation.
  • you can reverse the calculation so that you can calculate various possibilities to geometrically design a reluctance system so that the motor achieves the required performance characteristics. Under performance characteristics is thereby achievement and
  • a corresponding equivalent equivalent circuit is shown in FIG 29, 30.
  • the representation of the energy densities. Based on the permanent magnet volume, in the B (H) diagram proves to be advantageous to compare the energy ratios of the electromagnet and permanent magnet can.
  • the equations (063) to (066) are used and the energies on the
  • Computer program with program code means in particular a computer program stored on a machine-readable carrier, for
  • the computer may in particular be a microprocessor or microcontroller. Accordingly, the computer program is then executed on this computer software.
  • Computer program can then be stored in a memory of the microprocessor or the microcontroller.
  • the computer program may also be stored on other machine-readable carriers, e.g. on removable carriers such as CD-ROM or memory stick.
  • FIG. 4 shows the change in permeability despite a constant external field.
  • FIG. 8 shows a simple sketch of a permanent magnet with exciting coil.
  • FIG. 10 shows a spare diagram to be counted with the state of the art in science and technology with ⁇ a and ⁇ b which has hitherto been used.
  • FIG. 11 shows a spare diagram to be counted with the state of the art in science and technology with ⁇ a and ⁇ b which has hitherto been used.
  • FIG 12 shows the magnetization characteristics of electric and permanent magnet, and the shear line with the corresponding geometric relationships.
  • FI6 13 also shows the magnetization characteristic of electric
  • Permanent magnet as well as the shear line and measured values for different air gap sizes.
  • FIG. 14 shows a variant of a flowchart for calculating
  • FIG. 15 shows a further variant of a flowchart for calculating the reluctance system partners.
  • FIG. 16 shows a compilation of polygonal
  • FIGS. 18, 19 show the occurrence of transverse pressure and longitudinal tension in relation to the magnetization function.
  • FIG. 22 shows a two-dimensional vector diagram for a non-linear magnetization function of iron.
  • FIG. 23 shows a stator lamination section of a three-phase motor.
  • FIG. 24 Shows a partial section of a stator pole and an opposite rotor.
  • FIG. 26 shows the statically measured torque which has been plotted over various currents as a function of the angle ⁇ .
  • FIGS. 27, 28 show the current profile over the time that was related to the motor steps.
  • 29 shows the conventional representation of voltage sources and power source replacement diagram.
  • FI6 31, 32 shows the energy density distribution of electric and permanent magnet.
  • 33, 34 shows the mechanical work related to the magnetic volume of the electric and permanent magnet.
  • FIG. 1 shows a linear magnetization function in the air
  • FIG. 2 shows a non-linear magnetization function for soft iron
  • FIG. 3 shows a permanent magnetization function for permanent magnets.
  • FIG. 5 shows a comparison of electric and permanent magnet. With the air gap dimensions l e / 2 and the inner dimension l i / 2 at a current I and a number of turns N. The same also applies to the permanent magnet.
  • FIG. 6 shows a graphic representation of the mechanical work related to the magnetic volume of the electric and permanent magnet, which are compared here.
  • FIG. 10 shows a spare diagram to be counted in the state of science and technology with Oa and Ob which has hitherto been used.
  • FIG. 11 Shows a model of an electromagnet with a yoke 1, a core 2 and two anchors 3,4 and an air gap 5.
  • FIG 12 shows the magnetization characteristics of electric and permanent magnet, and the shear line with the corresponding geometric relationships.
  • geometric ob corresponds. 5 is the corresponding point on the ordinate.
  • FIG. 14 shows a flowchart of a calculation algorithm with which geometrically complex reluctance systems can be calculated.
  • Air gap reactances must be considered. It starts with Entering the geometries of the positions of the system partners (angle and distance) taking into account the respective model. The result is a frame file that determines resistance in the iron parts. After input, these are output as constant values or as spline functions. Based on the considered rotor position a n , the air gap resistances are determined. All resistors and magnetic voltage sources serve as input data for the calculation program. The calculation of the nonlinear
  • the start value is the zero vector.
  • the output values include potentials, flux values and resistances of the magnetic circuit. This is repeated for every angle. At the conclusion of the calculation, all results are summarized and the voltage induced in the coils and strings as well as the torque of the system are determined.
  • FIG. 15 shows the more concrete variant for calculating a
  • the electric motor The electric motor.
  • FIG. 16 Vendeutlicht the discontinuity of a traverse to the final derivative.
  • FIG. 18, 19 shows the unfreezing of quench and longitudinal traction with respect to the magnetizing function B, H.
  • Dnuck voltages of one another are different.
  • FIGS. 2O, 21 illustrate the linear case and the nonlinear case of FIG.
  • FIG. 22 shows a two-dimensional vector diagram for a nonlinear magnetization function of iron.
  • FIG. 23 shows a staton plate section of a diphasic motone.
  • FIG. 24 shows a partial section of a stator pole and an opposite rotor.
  • FIG. 25 shows a stator / rotor development.
  • FIG. 26 shows the statically measured torque that has been plotted over various currents as a function of the angle ⁇ .
  • FIGS. 27, 28 show the current variation over time, which was related to the motor steps.
  • FIG. 31, 32 shows the energy density distribution of electric and permanent magnet.
  • 33, 34 shows the mechanical work related to the magnetic volume of the electric and permanent magnet.

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  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • General Physics & Mathematics (AREA)
  • Geometry (AREA)
  • General Engineering & Computer Science (AREA)
  • Mathematical Optimization (AREA)
  • Computational Mathematics (AREA)
  • Mathematical Analysis (AREA)
  • Pure & Applied Mathematics (AREA)
  • Computer Hardware Design (AREA)
  • Evolutionary Computation (AREA)
  • Mathematical Physics (AREA)
  • Data Mining & Analysis (AREA)
  • Automation & Control Theory (AREA)
  • Aviation & Aerospace Engineering (AREA)
  • Operations Research (AREA)
  • Algebra (AREA)
  • Databases & Information Systems (AREA)
  • Software Systems (AREA)
  • Power Engineering (AREA)
  • Iron Core Of Rotating Electric Machines (AREA)
  • Soft Magnetic Materials (AREA)
  • Devices For Executing Special Programs (AREA)
  • Stored Programmes (AREA)

Abstract

La présente invention concerne un procédé de calcul pour la conception de systèmes de réluctance par établissement d'un bilan de l'énergie de système interne et externe sur la base de W=½Λ (Θa 2+Θb 2+2ΘaΘb), 2ΘaΘb étant différent de 0, selon la première revendication. La présente invention concerne en outre un programme informatique avec des moyens de code de programme, en particulier un programme informatique mémorisé sur un support lisible par machine, pour la mise en oeuvre du procédé de calcul susmentionné lorsque le programme informatique est exécuté sur un calculateur.
EP15778204.6A 2014-08-12 2015-08-07 Procédé de calcul pour la conception de systèmes de réluctance, et programme informatique Withdrawn EP3215964A2 (fr)

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
DE102014011911.4A DE102014011911A1 (de) 2014-08-12 2014-08-12 Berechnungsverfahren zur Auslegung von Reluktanzsystemen und ein Computerprogramm
PCT/EP2015/001636 WO2016023627A2 (fr) 2014-08-12 2015-08-07 Procédé de calcul pour la conception de systèmes de réluctance, et programme informatique

Publications (1)

Publication Number Publication Date
EP3215964A2 true EP3215964A2 (fr) 2017-09-13

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EP15778204.6A Withdrawn EP3215964A2 (fr) 2014-08-12 2015-08-07 Procédé de calcul pour la conception de systèmes de réluctance, et programme informatique

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US (1) US20170228340A1 (fr)
EP (1) EP3215964A2 (fr)
DE (1) DE102014011911A1 (fr)
WO (1) WO2016023627A2 (fr)

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Publication number Priority date Publication date Assignee Title
CN109753737B (zh) 2019-01-10 2020-07-10 湖南科技大学 用于交流牵引电机温度场分析的定子绕组气隙建模方法
CN111506991B (zh) * 2020-04-08 2022-04-29 武汉大学 磁悬浮转台磁力建模方法、系统及存储介质
CN115640701B (zh) * 2022-11-15 2025-05-02 云南电网有限责任公司电力科学研究院 一种磁耦合线圈优化方法、装置、计算机设备及存储介质

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US5319577A (en) * 1992-12-18 1994-06-07 Georgia Tech Research Corporation Orientation sensing system and method for a spherical body

Also Published As

Publication number Publication date
US20170228340A1 (en) 2017-08-10
WO2016023627A3 (fr) 2016-04-07
WO2016023627A2 (fr) 2016-02-18
DE102014011911A1 (de) 2016-02-18

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