Optimization of the MMF spatial harmonic content to design electrical machine winding

2020 ◽  
pp. 1-16
Author(s):  
Jérôme Marault ◽  
Frédéric Gillon ◽  
Michel Hecquet ◽  
Abdelmounaïm Tounzi
Keyword(s):  
Magnetic Flux ◽  
Design Process ◽  
Optimization Algorithm ◽  
Analytical Tool ◽  
Magnetic Flux Density ◽  
Electrical Machine ◽  
Continuous Variables ◽  
Spatial Harmonic ◽  
Harmonic Content ◽  
Torque Ripples

The winding design of an electrical machine is an important task in the whole design process. This leads, for a part, to the magneto motive force which is one of the main quantities to manage for electrical machine performances. Indeed, the latter is directly linked to that of the air gap magnetic flux density and thus to the torque ripples, vibration and then noise. This paper proposes to reduce the MMF harmonic content by means of optimization process using mono-objective or multi-objective algorithms with discrete and continuous variables. For this aim, optimization algorithm is coupled with an analytical tool which enables calculating quickly the MMF harmonic content from winding parameters. A winding optimization of three different windings with the same number of pole pairs is proposed to show the suitability of this process.

Investigation the Performance of Axial Channel Rotor in Inset Permanent Magnet Synchronous Machine

2012 ◽  
Vol 260-261 ◽  
pp. 559-564 ◽  
Author(s):  
Jeeng Min Ling ◽  
Tajuddin Nur
Keyword(s):  
Magnetic Flux ◽  
Permanent Magnet ◽  
Flux Density ◽  
High Efficiency ◽  
Air Gap ◽  
Magnetic Flux Density ◽  
Electrical Machine ◽  
Axial Channel ◽  
Conventional Machine ◽  
Rotor Core

An electrical machine is constructed with some holes or axial hollows in the rotor core for special purpose. The effects of axial hole in the proposed Inset Permanent Magnet Machine (Inset PMSM) with eight radial poles are analyzed by the magnetic flux density in air gap. The characteristics associated with magnetic flux density of every magnet poles in the air gap, magnetic flux losses in the rotor teeth, density magnetic flux in the rotor core surface and torque of the machine are also investigated and compared. Results show small direct reactance and less area in the proposed axial channel rotor core compared with the convention Inset PMSM. It imply to a lighter weight and high efficiency machine design. The finite element simulation shows the magnetic flux density per pole in air gap of the proposed rotor structure remain constant or may be a little bit drop compared with the conventional machine.

Parametric model of electric machines based on exponential Fourier approximations of magnetic air gap flux density and inductance

2018 ◽  
Vol 37 (1) ◽  
pp. 520-535 ◽  
Author(s):  
Norman Borchardt ◽  
Roland Kasper
Keyword(s):  
Finite Element ◽  
Magnetic Flux ◽  
Flux Density ◽  
Fourier Coefficients ◽  
Magnetic Circuit ◽  
Parametric Model ◽  
Air Gap ◽  
Magnetic Flux Density ◽  
Electrical Machine ◽  
Content Type

Purpose This study aims to present a parametric model of a novel electrical machine, based on a slotless air gap winding, allowing for fast and precise magnetic circuit calculations. Design/methodology/approach Approximations of Fourier coefficients through an exponential function deliver the required nonlinear air gap flux density and inductance. Accordingly, major machine characteristics, such as back-EMF and torque, can be calculated analytically with high speed and precision. A physical model of the electrical machine with air gap windings is given. It is based on a finite element analysis of the air gap magnetic flux density and inductance. The air gap height and the permanent magnetic height are considered as magnetic circuit parameters. Findings In total, 11 Fourier coefficient matrixes with 65 sampling points each were generated. From each, matrix a two-dimensional surface function was approximated by using exponentials. Optimal parameters were calculated by the least-squares method. Comparison with the finite element model demonstrates a very low error of the analytical approximation for all Fourier coefficients considered. Finally, the dynamics of an electrical machine, modeled using the preceding magnetic flux density approximation, are analyzed in MATLAB Simulink. Required approximations of the phase self-inductance and mutual inductance were given. Accordingly, the effects of the two magnetic circuit parameters on the dynamics of electrical machine current as well as the electrical machine torque are explained. Originality/value The presented model offers high accuracy comparable to FE-models, needing only very limited computational complexity.

scholarly journals Application of Wedges for the Reduction of the Space and Time-Dependent Harmonic Content in Squirrel-Cage Induction Motors

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Konstantinos N. Gyftakis ◽  
Panagiotis A. Panagiotou ◽  
Joya C. Kappatou
Keyword(s):  
Magnetic Flux ◽  
Induction Motor ◽  
Flux Density ◽  
High Harmonic ◽  
Air Gap ◽  
Time Dependent ◽  
Magnetic Flux Density ◽  
Iron Core ◽  
Harmonic Content ◽  
Electromagnetic Characteristics

The influence of the semimagnetic stator wedges of different sizes on the electromagnetic characteristics and the behavior of the induction motor is investigated. The study will be carried out with both analytical calculations and FEM analysis. The analytical calculations will take into account the stator and rotor slots, as well as the iron core saturation in order to study the spatial and time-dependent harmonic content of the air-gap magnetic flux density and electromagnetic torque. The size of the wedge plays an important role as it determines the tooth tips saturation, the high harmonic content of the air-gap magnetic flux density, and the electromagnetic characteristics of the induction motor.

Research on expanding the range of reproduction of magnetic flux density of the DC field of the state primary standard GET12-2011

2020 ◽  
pp. 3-7
Author(s):  
Vladlen Ya. Shifrin ◽  
Denis I. Belyakov ◽  
Alexander E. Shilov ◽  
Denis D. Kosenko
Keyword(s):  
Magnetic Flux ◽  
Magnetic Induction ◽  
Frequency Conversion ◽  
Magnetic Measurements ◽  
Primary Standard ◽  
Uncertainty Budget ◽  
The State ◽  
State Primary Standard ◽  
Magnetic Flux Density ◽  
Constant Field

The results of works aimed at increasing the level of uniformity of measurements of the magnetic induction of a constant field – the basic value in the field of magnetic measurements. A set of equipment for reproducing a unit of magnetic induction of a constant field in the range of 1–25 mT was created and described. The inclusion of this complex in the State primary standard of units of magnetic induction, magnetic flux, magnetic moment and magnetic induction gradient GET 12-2011 will ensure the reproduction and direct transmission of the unit of permanent magnetic induction in the ranges of not only weak (10–3–1 mT), but medium (1–25 mT) and strong (0.025–1 T) magnetic fields. A quantum cesium magnetometer based on the resolved structure of cesium atoms was created to transmit the unit of magnetic induction to the region of medium fields. The procedure for calculating the frequency conversion coefficients to magnetic induction of the created quantum cesium magnetometer is described. The uncertainty budget for reproducing a unit of magnetic induction of a constant field using the created complex is estimated.

scholarly journals Design of a New 1D Halbach Magnet Array with Good Sinusoidal Magnetic Field by Analyzing the Curved Surface

Sensors ◽  
2021 ◽  
Vol 21 (7) ◽  
pp. 2522
Author(s):  
Guangdou Liu ◽  
Shiqin Hou ◽  
Xingping Xu ◽  
Wensheng Xiao
Keyword(s):  
Magnetic Field ◽  
Magnetic Flux ◽  
Permanent Magnet ◽  
Flux Density ◽  
Permanent Magnets ◽  
Air Gap ◽  
Curved Surface ◽  
Magnetic Flux Density ◽  
Sinusoidal Magnetic Field ◽  
The Magnetic Field

In the linear and planar motors, the 1D Halbach magnet array is extensively used. The sinusoidal property of the magnetic field deteriorates by analyzing the magnetic field at a small air gap. Therefore, a new 1D Halbach magnet array is proposed, in which the permanent magnet with a curved surface is applied. Based on the superposition of principle and Fourier series, the magnetic flux density distribution is derived. The optimized curved surface is obtained and fitted by a polynomial. The sinusoidal magnetic field is verified by comparing it with the magnetic flux density of the finite element model. Through the analysis of different dimensions of the permanent magnet array, the optimization result has good applicability. The force ripple can be significantly reduced by the new magnet array. The effect on the mass and air gap is investigated compared with a conventional magnet array with rectangular permanent magnets. In conclusion, the new magnet array design has the scalability to be extended to various sizes of motor and is especially suitable for small air gap applications.

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