Analytical calculations of electromagnetic quantities for wound rotor salient-pole synchronous machines

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Zohreh Delirani ◽  
Akbar Rahideh ◽  
Mohammad Mardaneh
Keyword(s):  
Analytical Model ◽  
Synchronous Machines ◽  
Magnetic Flux Density ◽  
Two Dimensional ◽  
Element Analysis ◽  
Content Type ◽  
Electromagnetic Model ◽  
Salient Pole ◽  
Salient Pole Synchronous Machine ◽  
Electromagnetic Quantities

Purpose This paper aims to present an analytical electromagnetic model for wound rotor synchronous machines with a salient-pole rotor structure based on the two-dimensional subdomain technique. Design/methodology/approach The machine is divided into five active sub-regions: stator slots, stator slot openings, air gap, rotor slots and rotor slot openings. For each sub-region, the governing partial differential equations are derived and solved analytically. Findings The magnetic flux density distributions in all active sub-regions are analytically computed and other quantities such as back-emf, inductances, electromagnetic torque and unbalanced magnetic forces are also analytically calculated. The results of the analytical model are compared to those obtained from the finite element analysis to show the accuracy of the proposed model. Originality/value The two-dimensional analytical model of a wound rotor salient-pole synchronous machine using the sub-domain technique is the main contribution of the research.

Two-dimensional steady-state thermal analytical model of permanent-magnet synchronous machines operating in generator mode

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Zakarya Djelloul Khedda ◽  
Kamel Boughrara ◽  
Frédéric Dubas ◽  
Baocheng Guo ◽  
El Hadj Ailam
Keyword(s):  
Steady State ◽  
Temperature Distribution ◽  
Permanent Magnet ◽  
Analytical Model ◽  
Electrical Machines ◽  
Synchronous Machines ◽  
Analytical Prediction ◽  
Two Dimensional ◽  
Content Type ◽  
Proposed Model

Purpose Thermal analysis of electrical machines is usually performed by using numerical methods or lumped parameter thermal networks depending on the desired accuracy. The analytical prediction of temperature distribution based on the formal resolution of thermal partial differential equations (PDEs) by the harmonic modeling technique (or the Fourier method) is uncommon in electrical machines. Therefore, this paper aims to present a two-dimensional (2D) analytical model of steady-state temperature distribution for permanent-magnet (PM) synchronous machines (PMSM) operating in generator mode. Design/methodology/approach The proposed model is based on the multi-layer models with the convolution theorem (i.e. Cauchy’s product theorem) by using complex Fourier’s series and the separation of variables method. This technique takes into the different thermal conductivities of the machine parts. The heat sources are determined by calculating the different power losses in the PMSM with the finite-element method (FEM). Findings To validate the proposed analytical model, the analytical results are compared with those obtained by thermal FEM. The comparisons show good results of the proposed model. Originality/value A new 2D analytical model based on the PDE in steady-state for full prediction of temperature distribution in the PMSM takes into account the heat transfer by conduction, convection and radiation.

scholarly journals Exact Two-Dimensional Analytical Calculations for Magnetic Field, Electromagnetic Torque, UMF, Back-EMF, and Inductance of Outer Rotor Surface Inset Permanent Magnet Machines

2019 ◽  
Vol 24 (1) ◽  
pp. 24 ◽  
Author(s):  
AmirAbbas Vahaj ◽  
Akbar Rahideh ◽  
Hossein Moayed-Jahromi ◽  
AliReza Ghaffari
Keyword(s):  
Permanent Magnet ◽  
Analytical Model ◽  
Permanent Magnets ◽  
Optimization Problems ◽  
Magnetic Flux Density ◽  
Permanent Magnet Machines ◽  
Two Dimensional ◽  
Electromagnetic Torque ◽  
Outer Rotor ◽  
Rotor Surface

This paper presents a two-dimensional analytical model of outer rotor permanent magnet machines equipped with surface inset permanent magnets. To obtain the analytical model, the whole model is divided into the sub-domains, according to the magnetic properties and geometries. Maxwell equations in each sub-domain are expressed and analytically solved. By using the boundary/interface conditions between adjacent sub-regions, integral coefficients in the general solutions are obtained. At the end, the analytically calculated results of the air-gap magnetic flux density, electromagnetic torque, unbalanced magnetic force (UMF), back-electromotive force (EMF) and inductances are verified by comparing them with those obtained from finite element method (FEM). One of the merits of this method in comparison with the numerical model is the capability of rapid calculation with the highest precision, which made it suitable for optimization problems.

Simplified analysis of iron loss in three-phase transformer considering rotating loss

2013 ◽  
Vol 33 (1/2) ◽  
pp. 74-84
Author(s):  
Yang Liu ◽  
Yanli Zhang ◽  
Dexin Xie ◽  
Baodong Bai
Keyword(s):  
Design Methodology ◽  
Silicon Steel ◽  
Iron Loss ◽  
Magnetic Flux Density ◽  
Element Analysis ◽  
Content Type ◽  
Three Phase ◽  
The Finite Element Analysis ◽  
Simplified Method ◽  
Property Measurement

Purpose – A simplified method for calculating iron loss of three-phase transformer is proposed in this paper. The rotating iron loss measured from 2-D vector magnetic property measurement system of gain-oriented silicon steel sheet can be taken into account in this method. The paper aims to discuss these issues. Design/methodology/approach – The finite element analysis formulation is combined with the magnetic reluctivity model expressed by diagonal tensor for 2-D nonlinear and anisotropic magnetic problem, while the iron loss is computed in terms of the interpolation of rotational loss curves measured under various loci of controlled magnetic flux density B. Findings – The iron loss of three-phase transformer is obtained by the proposed method. And the calculating iron loss is verified with experimental results. Originality/value – The method presented in this paper enables the iron loss of three-phase transformer to be more accurately calculated and more easily applied, considering the rotational iron loss.

scholarly journals New Scientific Contribution on the 2-D Subdomain Technique in Cartesian Coordinates: Taking into Account of Iron Parts

2016 ◽  
Author(s):  
Frédéric Dubas ◽  
Kamel Boughrara
Keyword(s):  
Finite Element Analysis ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Magnetic Flux Density ◽  
Iron Core ◽  
Two Dimensional ◽  
Scientific Contribution ◽  
Element Analysis ◽  
Cartesian Coordinates ◽  
Density Distributions

The most significant assumptions in the subdomain technique (i.e., based on the formal resolution of Maxwell's equations applied in subdomain) is defined by: “The iron parts (i.e., the teeth and the back-iron) are considered to be infinitely permeable so that the saturation effect is neglected”. In this paper, the author presents a new scientific contribution on improving of this method in two-dimensional (2-D) and in Cartesian coordinates by focusing on the consideration of iron. The subdomains connection is carried out in the two directions (i.e., x- and y-edges). The improvement was performed by solving magnetostatic Maxwell's equations for an air- or iron-core coil supplied by a direct current. To evaluate the efficacy of the proposed technique, the magnetic flux density distributions have been compared with those obtained by the 2-D finite-element analysis (FEA). The semi-analytical results are in quite satisfying agreement with those obtained by the 2-D FEA, considering both amplitude and waveform.

scholarly journals Analytical Model to Calculate Radial Forces in Permanent-Magnet Synchronous Machines

2021 ◽  
Vol 11 (22) ◽  
pp. 10865
Author(s):  
Iratxo Gómez ◽  
Gustavo García ◽  
Alex McCloskey ◽  
Gaizka Almandoz
Keyword(s):  
Magnetic Flux ◽  
Permanent Magnet ◽  
Analytical Model ◽  
Experimental Tests ◽  
Synchronous Machines ◽  
Magnetic Flux Density ◽  
Permanent Magnet Synchronous Machines ◽  
Electromagnetic Forces ◽  
Design Variables ◽  
Radial Forces

There are three principal sources of noise and vibration in electrical machines: electromagnetic sources, mechanical sources, and aerodynamic sources. Nowadays, one of the major advantages of permanent-magnet synchronous machines is their torque density. This density is achieved through a high magnetic flux density in the air gap, which is achieved through hard magnets. Unfortunately, in these machines, electromagnetic forces have been identified as the main source of vibration and noise, and high magnetic flux densities make these vibrations and noises more significant. With the aim of better understanding the relationship between electromagnetic forces and design variables, this article, which is the continuation of previous work, firstly describes a study of the sources of magnetic forces in permanent-magnet synchronous machines. Subsequently, an analytical model for the computation of the radial forces originating from electromagnetic sources in permanent-magnet synchronous machines is stated. This model analyzes the forces on both the rotor surface and the base of the stator tooth. The analytical results were corroborated through simulations using the finite element method (FEM) and also by experimental tests performed over two prototypes. The results achieved by the analytical model show good agreement with both FEM results and experimental measurements.

Design and finite element analysis of modular C-Core stator tubular linear oscillating actuator for miniature compressor

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Sumeet Khalid ◽  
Faisal Khan ◽  
Zahoor Ahmad ◽  
Basharat Ullah
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Permanent Magnets ◽  
Performance Comparison ◽  
Design Parameters ◽  
Magnetic Flux Density ◽  
Element Analysis ◽  
Content Type ◽  
Static And Dynamic Analysis ◽  
Electromagnetic Performance

Purpose For compactness and ease in assembling, a novel miniature size tubular moving magnet linear oscillating actuator (MT-MMLOA) design for miniature linear compressor application is proposed in this paper. Design/methodology/approach This MT-MMLOA design possesses a modular C-core stator structure having separation at the middle. Axially magnetized tubular permanent magnets are accommodated on the mover. To improve the output parameters of the linear oscillating actuators (LOA), all the design parameters are optimized using a parametric sweep. Finite element analysis of the proposed design is performed to examine the magnetic flux density as well as thrust force under both static and dynamic analysis within the intended stroke range. Findings Compared to conventional LOA for miniature compressors, the motor constant of the proposed LOA is 37 N/A that is 85% greater while keeping the same size of LOA. Permanent magnet volume used in the investigated topology of LOA is 26% reduced. Additionally, the overall volume of the machine is 10.3% decreased. Furthermore, the proposed topology is simple, inexpensive and easy to manufacture. Originality/value Electromagnetic performance comparison with different topologies proposed earlier in literature is carried out to prove the performance superiority of the proposed design.

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