Analytical field model of segmented Halbach array permanent magnet machines considering iron nonlinearity

Zhang, Heshan; Yang, Minglei; Yu, Zhonghua; Tuo, Jiying; Luo, Shuang; Xu, Jin

doi:10.1049/elp2.12069

Cited by 4 publications

(3 citation statements)

References 29 publications

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“…Each subdomain’s governing equations are established in 2-D polar coordinates according to the type of excitation sources. Namely, the PM and stator slot regions satisfy Poisson’s equation, while the air-gap and slot opening regions satisfy Laplace’s equation (Zhang et al , 2021a, 2021b): where J i is the current density of the i -th stator slot. The general solution of the magnetic vector potential in each subdomain can be obtained using the separation method.…”

Section: Analytical Modelmentioning

confidence: 99%

“…Each subdomain's governing equations are established in 2-D polar coordinates according to the type of excitation sources. Namely, the PM and stator slot regions satisfy Poisson's equation, while the air-gap and slot opening regions satisfy Laplace's equation (Zhang et al, 2021a(Zhang et al, , 2021b:…”

Section: Solution Of Magnetic Vector Potentialmentioning

confidence: 99%

“…Subsequently, combined with some iterative algorithms, the nonlinearity of iron (i.e. B-H curve) can be considered (Djelloul-Khedda et al, 2017;Zhang et al, 2021aZhang et al, , 2021b. Setting a more significant maximum harmonic order (MHO) in the air-gap region can increase the accuracy of torque prediction.…”

Section: Introductionmentioning

confidence: 99%

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Magnetic field and electromagnetic performance analysis of permanent magnet machines with segmented Halbach array

Zhang

Wang

Tuo

et al. 2021

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Purpose This study aims to accurately calculate the magnetic field distribution, which is a prerequisite for pre-design and optimization of electromagnetic performance. Accurate calculation of magnetic field distribution is a prerequisite for pre-design and optimization. Design/methodology/approach This paper proposes an analytical model of permanent magnet machines with segmented Halbach array (SHA-PMMs) to predict the magnetic field distribution and electromagnetic performance. The field problem is divided into four subdomains, i.e. permanent magnet, air-gap, stator slot and slot opening. The Poisson’s equation or Laplace’s equation of magnetic vector potential for each subdomain is solved. The field’s solution is obtained by applying the boundary conditions. The electromagnetic performances, such as magnetic flux density, unbalanced magnetic force, cogging torque and electromagnetic torque, are analytically predicted. Then, the influence of design parameters on the torque is explored by using the analytical model. Findings The finite element analysis and prototype experiments verify the analytical model’s accuracy. Adjusting the design parameters, e.g. segments per pole and air-gap length, can effectively increase the electromagnetic torque and simultaneously reduce the torque ripple. Originality/value The main contribution of this paper is to develop an accurate magnetic field analytical model of the SHA-PMMs. It can precisely describe complex topology, e.g. arbitrary segmented Halbach array and semi-closed slots, etc., and can quickly predict the magnetic field distribution and electromagnetic performance simultaneously.

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Section: Analytical Modelmentioning

confidence: 99%

Section: Solution Of Magnetic Vector Potentialmentioning

confidence: 99%

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Magnetic field and electromagnetic performance analysis of permanent magnet machines with segmented Halbach array

Zhang

Wang

Tuo

et al. 2021

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A dynamic equivalent aggregation method of wind turbine systems with a full‐scale power converter for electromagnetic transient simulations

Xue

Zhang

2021

IET Renewable Power Gen

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With the increasing exploitation of wind energy, the dynamic performances of largescale wind farms (WFs) are vital for the system design and stability analysis. However, a detailed WF model considering every wind turbine system (WTS) makes the electromagnetic transient simulation time-consuming and computational-demanding. Therefore, a dynamic equivalent aggregation method is proposed for WTS with a full-scale power converter (WTS-FSPC) in this paper, in order to reduce the computational complexity meanwhile maintaining the same accuracy as the detailed model. To improve the accuracy of the equivalent collector system, the collecting strings are decoupled based on the power flow distribution. Then the WTSs are clustered according to the output AC voltage distributions using a Louvain K-means (LKM) algorithm, which innovatively determines the optimal solution automatically. Additionally, a centralized capacitor is set to represent the distributed capacitance of the collector system. Furthermore, to enhance the model adaptability during asymmetric short-circuit faults, the equivalent method for the zero-sequence collector system is introduced. Time-domain simulation results demonstrate the effectiveness and robustness of the proposed method in reflecting the WF dynamics. The case study in a 2-area system further verifies the superiority of the proposed method for the WF integrated power system stability analysis.This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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Semi-Analytical Magnetic Field Calculation for Dual-Rotor Permanent-Magnet Synchronous Machines by Using Hybrid Model

et al. 2022

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Based exclusively on the exact subdomain (SD) technique and finite-difference method (FDM), this paper proposes a two-dimensional (2-D) hybrid model (HAM) for the semi-analytical magnetic field calculation in electrical machines at no-/on-load conditions. It is applied to dual-rotor permanent-magnet (PM) synchronous machines. The magnetic field is computed by solving Laplace's and Poisson's equations through exact SD technique in all regions at unitary relative permeability (i.e., PMs, air-gap and slots) with a numerical model based on FDM in ferromagnetic regions (i.e., teeth and rotor/stator yokes). These two models are specifically coupled in both directions (i.e., 𝒓and 𝜽-edges) of the (non-)periodicity direction (i.e., in the interface between teeth regions and all its adjacent regions as slots and/or air-gap). To provide accurate solutions, the current density distribution in slots regions is modeled by using Maxwell's equations. Finiteelement analysis (FEA) demonstrates highly accurate results of the developed technique. The 2-D HAM is ≈ 6 times faster than 2-D FEA.

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Analytical field model of segmented Halbach array permanent magnet machines considering iron nonlinearity

Cited by 4 publications

References 29 publications

Magnetic field and electromagnetic performance analysis of permanent magnet machines with segmented Halbach array

Magnetic field and electromagnetic performance analysis of permanent magnet machines with segmented Halbach array

A dynamic equivalent aggregation method of wind turbine systems with a full‐scale power converter for electromagnetic transient simulations

Semi-Analytical Magnetic Field Calculation for Dual-Rotor Permanent-Magnet Synchronous Machines by Using Hybrid Model

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