Exact analytical modeling of magnetic vector potential in surface inset permanent magnet DC machines considering magnet segmentation

Jabbari, Ali

doi:10.1515/jee-2018-0005

Cited by 10 publications

(10 citation statements)

References 27 publications

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“…The Dubas's superposition technique could have been used to develop a new model with the consideration of the saturation effect. In References [38][39][40][41], an analytical model has been introduced to compute electric machine performance by using the subdomain method. However, no analytical expression was found at present to calculate the optimal magnet pole shape in surface-mounted permanent magnet machines in order to minimize the pulsating torque components.…”

Section: Subdomain Definitionmentioning

confidence: 99%

An Analytical Expression for Magnet Shape Optimization in Surface-Mounted Permanent Magnet Machines

Jabbari

2018

MCA

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Surface-mounted permanent magnet machines are widely used in low and medium speed applications. Pulsating torque components is the most crucial challenge, especially in low-speed applications. Magnet pole shape optimization can be used to mitigate these components. In this research, an analytical model is proposed to calculate the magnetic vector potential in surface-mounted permanent magnet machines. A mathematical expression is also derived for optimal the magnet shape to reduce the cogging torque and electromagnetic torque components. The presented model is based on the resolution of the Laplace’s and Poisson’s equations in polar coordinates by using the subdomain method and applying hyperbolic functions. The proposed method is applied to the performance computation of a surface-mounted permanent magnet machine, i.e., a 3-phase 12S-10P motor. The analytical results are validated through the finite element analysis (FEA) method.

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Section: Subdomain Definitionmentioning

confidence: 99%

An Analytical Expression for Magnet Shape Optimization in Surface-Mounted Permanent Magnet Machines

Jabbari

2018

MCA

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“…In the SDA, the geometry of electrical machine is divided into defined domains taking into account its application and existing symmetries [4]. Maxwell equations, here Laplacian and Poisson equations, are written for every region, and finally based on the imposed boundary conditions on the regions, such as continuity of magnetic potential and magnetic field intensity tangential component, the required system of equations for magnetic field is formed and then solved [5,6]. Generally, variables separation technique (VST) has a very significant role; however, in some electromagnetic problems it is necessary to establish the equations for solving Laplacian and Poisson equations [7].…”

Section: Introductionmentioning

confidence: 99%

“…Generally, variables separation technique (VST) has a very significant role; however, in some electromagnetic problems it is necessary to establish the equations for solving Laplacian and Poisson equations [7]. Some have reported the application of SDA for different electrical machines such as surface-inset PM [6][7][8], surface-mounted PM [9], interior PM [10,11], PMSM with shielding cylinder [12] spoke type PM [2], doubly-salient machine [13], switched reluctance machine [14,15], Vernier machine [5,16], flux switching machine [17], superconductor [18], and electric machine with toroidal winding [19]. Normally, the results have been compared with FEM results and in some cases tests results.…”

Section: Introductionmentioning

confidence: 99%

Sub-Domain Analysis of Asymmetrical Magnetic Field in Electrical Machines

Faiz¹

2020

PIER C

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Beside magnetic equivalent circuit and finite element methods, sub-domain analysis (SDA) is an alternative method, which can be used to evaluate electrical machines behavior. It has a reasonable accuracy, and its parametric nature is allowed to apply to optimization or sensitivity analysis. Commonly, this method is based on variables separation technique of Maxwell equations and Fourier series. Eigenvalues and eigen-functions are so important for obtaining accurate results. In this paper, Maxwell equations are solved for two adjacent regions, i.e., copper (Cu) and permanent magnet (PM). It was paid less attention before, and it introduces supplementary eigenvalue and eigen-function for asymmetry conditions in Cu or PM magnetic field regions.

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“…But that usually requires a long computing time. Accurate mathematical models of these electrical machines are often necessary for their design, analysis and optimization (Jabbari, 2018a, 2018b, 2018c). The numerical method and analytical method are widely used in the motor design.…”

Section: Introductionmentioning

confidence: 99%

“…Boughrara et al (2014) introduced a 2D analytical prediction of eddy currents, circuit model parameters and steady-state performances in solid rotor induction motors. Some subdomain-based analytical models (Dubas and Espanet, 2009; Lubin et al , 2011; Boughrara et al , 2012; Jabbari, 2017, 2018, 2019) presented to investigate magnetic field distribution. Oner et al (2016) presented an analytical on-load subdomain field model of permanent-magnet vernier machines.…”

Section: Introductionmentioning

confidence: 99%

An improved model for performances calculation in spoke-type permanent-magnet machines considering magnetization orientation and finite soft-magnetic material permeability

Jabbari

Dubas

2020

COMPEL

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Purpose In semi-analytical modeling of spoke-type permanent-magnet (PM) machines (STPMM), the saturation effect is usually neglected (i.e. iron parts are considered to be infinitely permeable) and the PM magnetization is assumed tangential (i.e. magnetization pattern is considered to be tangential-parallel). This paper aims to present an improved two-dimensional (2D) subdomain technique for STPMM with the PM magnetization orientation in quasi-Cartesian coordinates by using hyperbolic functions considering non-homogeneous Neumann boundary conditions (BCs) in non-periodic regions and by applying the interfaces conditions (ICs) in both directions (i.e. t- and θ edges ICs). Design/methodology/approach The polar coordinate system is transformed into a quasi-Cartesian coordinate system. The rotor and stator regions are divided into primary subdomains, and a partial differential equation (PDE) is assigned to each subdomain. In the PM region, the magnetization orientation is considered in the equations. By applying BCs, the general solution of the equations is determined, and by applying the ICs, the corresponding coefficients are determined. Findings Using the proposed coordinate system, the general solution of PDEs and their coefficients can mathematically be simplified. The magnetic field and non-intrinsic unbalanced magnetic forces (UMF) calculations have been performed for three different values of iron core relative permeability (200, 800 and ∞), as well as different magnetization orientation values (135 and 80 degrees). The semi-analytical model based on the subdomain technique is compared with those obtained by the 2D finite-element analysis (FEA). Results disclose that the PM magnetization angle can affect directly the performance characteristics of the STPMM. Originality/value A new model for prediction of electromagnetic performances in the STPMM takes into account magnetization direction, and soft magnetic material relative permeability in a pseudo-Cartesian coordinate system by using subdomain technique is presented.

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Exact analytical modeling of magnetic vector potential in surface inset permanent magnet DC machines considering magnet segmentation

Cited by 10 publications

References 27 publications

An Analytical Expression for Magnet Shape Optimization in Surface-Mounted Permanent Magnet Machines

An Analytical Expression for Magnet Shape Optimization in Surface-Mounted Permanent Magnet Machines

Sub-Domain Analysis of Asymmetrical Magnetic Field in Electrical Machines

An improved model for performances calculation in spoke-type permanent-magnet machines considering magnetization orientation and finite soft-magnetic material permeability

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