Comparison between
            <scp>2‐D</scp>
            and
            <scp>0‐D</scp>
            analytical models for slotless
            <scp>double‐sided</scp>
            inner armature linear permanent magnet synchronous machines

Ghaffari, A.; Rahideh, Akbar; Ghaffari, Hamidreza; Vahaj, Amir Abbas; Mahmoudi, Amin

doi:10.1002/2050-7038.12509

Cited by 3 publications

(8 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The analytical method is essential to minimize the time required for calculation, particularly during the design optimization process. First, the basic concepts of the IPM motor were studied in detail, and the linear saturated lumped parametric circuit model (LPM) of the LSPM motor was developed using an analytical method, while accounting for the magnetic saturation in different regions [10], [12], [38], [40]. A 0-D analytical method based LPM can be extracted for fixed rotor position to replicate the various rotor rotations which involve iterative computation process like FEM for modeling and the optimization of electromagnetic devices [38].…”

Section: Proposed Analytical Modeling For the Lspm Motor A Lumped Par...mentioning

confidence: 99%

“…First, the basic concepts of the IPM motor were studied in detail, and the linear saturated lumped parametric circuit model (LPM) of the LSPM motor was developed using an analytical method, while accounting for the magnetic saturation in different regions [10], [12], [38], [40]. A 0-D analytical method based LPM can be extracted for fixed rotor position to replicate the various rotor rotations which involve iterative computation process like FEM for modeling and the optimization of electromagnetic devices [38]. The improved saturated LPM provides an excellent means to understand the electromagnetic modeling in order to optimize the complex rotor structure by using effective design parameters, their influence during the advance stage, and the corresponding effect of bridges, rotor bars.…”

Section: Proposed Analytical Modeling For the Lspm Motor A Lumped Par...mentioning

confidence: 99%

“…Using this 0-D method, the influence of the design variables on the average air-gap flux density can be examined thoroughly. For analyzing the magnetic field characteristics of the LSPM using LPM, the following assumptions are required [10]- [12], [15], [38], [48]- [50]:…”

Section: Proposed Analytical Modeling For the Lspm Motor A Lumped Par...mentioning

confidence: 99%

“…In this research, a simple linear saturated 0-D analytical method (LPM) is employed to calculate the effective average air-gap flux density as a prerequisite in order to obtain the critical design parameters for maximum value of the fundamental component of back EMF with low harmonic content; this model incorporates the flux leakage through the rotor flux barriers and bridges [10]- [12], [15], [38], [40]. This procedure is much simpler than previous methods applied for the analytical modeling of LSPM motors in [3], [7], [37].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Analytical Modeling for Optimal Rotor Shape to Design Highly Efficient Line-Start Permanent Magnet Synchronous Motor

Waheed

2020

IEEE Access

View full text Add to dashboard Cite

In this study, an analytical technique for the rotor geometry optimization based on lumped magnetic parametric approach is used to design a two-pole, three-phase, 7.5-kW line-start permanent magnet (LSPM) synchronous motor. The permanent magnet shape substantially affects the air-gap flux density distribution, back electromotive force (EMF) as well as the copper loss, which have a great impact on the performance characteristics of the permanent magnet synchronous motors. Principal advantages involve in adjusting the rotor shape are to achieve the effective air-gap flux density and optimize the fundamental component of the back EMF with low harmonic content for minimum ripple torque. Therefore, to enhance the efficiency (η) and power factor, an optimized slot shape considering various design parameters is selected for the permanent magnet of the rotor in the prototype LSPM machine. A linear saturated lumped magnetic parametric model is developed to exhibit magnetic characteristics, and analytical equations are acquired under the open-circuit condition without considering the slotting effect for design simplicity. The influence of design variables on the air-gap flux density distribution and the flux leakage is investigated precisely using an analytical circuit model. A parametric study of the prototype model demonstrates that the steady-state performance of the LSPM motor are significantly influenced by the design variables. The inductance saliency ratio and electromagnetic torque components are carefully analyzed in terms of their effects on the load characteristics of the LSPM motor in order to determine the optimal shape of the PM slots and the magnetic flux barriers. The validity of the proposed method has been checked by evaluating the numerical solution of the analytical model using a two-dimensional finite element method.INDEX TERMS Analytical method, air-gap flux density, FEM, lumped parametric model, parametric study, rotor design.

show abstract

Section: Proposed Analytical Modeling For the Lspm Motor A Lumped Par...mentioning

confidence: 99%

Section: Proposed Analytical Modeling For the Lspm Motor A Lumped Par...mentioning

confidence: 99%

Section: Proposed Analytical Modeling For the Lspm Motor A Lumped Par...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Analytical Modeling for Optimal Rotor Shape to Design Highly Efficient Line-Start Permanent Magnet Synchronous Motor

Waheed

2020

IEEE Access

View full text Add to dashboard Cite

show abstract

“…Meanwhile, the equivalent magnetizing current method is used to analyze and calculated steady-state performance parameters of the slotless-type permanent magnet linear brushless motor. Reference [10] mainly adopts the two-dimensional analytic method is used to analyze and calculate the performance parameters of the slotless double-sided inner armature linear permanent magnet synchronous motor, which of the results are compared with that of zero-dimensional analytic method.…”

Section: Introductionmentioning

confidence: 99%

Study on Performance Parameters of Short-Secondary Type Slotless Permanent Magnet Linear Synchronous Motor Based on Analytic Method

Hao

Yin

2021

J. Electr. Eng. Technol.

View full text Add to dashboard Cite

This paper mainly studies two-dimensional analytic method to analyze and calculate a short-secondary type slotless permanent magnet linear synchronous motor (SST-SPMLSM) performance. Due to the large air-gap and more magnetic flux leakage of electric machine, this paper proposes the groove-by-groove method to analyze the winding equivalent current density. Meanwhile, the volume current density is used to equivalent the permanent magnet magnetization, which is obtained the permanent magnet equivalent current density. According to the electric machine structure, the divided layers model of the SST-SPMLSM is built. Based on the hierarchical analytical model and equivalent current density of the electric machine, the two-dimensional magnetic vector potential of each region in the SST-SPMLSM is derived by the separated variable method. Combined with the boundary conditions of the electric machine, the magnetic flux densities of the SST-SPMLSM with different regions are derived. In the meantime, a 30 N SST-SPMLSM is designed. On this basis, the magnetic flux density, detent force, and electromagnetic thrust force of the SST-SPMLSM are analyzed and calculated, which of the results are verified by finite element method. From the results, it satisfies the design requirements of the SST-SPMLSM, and verifies the validity and correctness of analytical method.

show abstract

A review on analytical models of brushless permanent magnet machines

Abbas,

Iqbal,

Lewicki

et al. 2023

Int J Numerical Modelling

View full text Add to dashboard Cite

This study provides an in‐depth investigation of the use of analytical and numerical methods in analyzing electrical machines. Although numerical models such as the finite‐element method (FEM) can handle complex geometries and saturation effects, they have significant computational burdens, are time‐consuming, and are inflexible when it comes to changing machine geometries or input values. Analytical models based on magnetic equivalent circuits (MEC) or solving Maxwell's equations can be faster and more flexible, but less accurate for complex machine structures. The paper focuses on the recent development of analytical models for brushless permanent‐magnet (PM) machines that have become increasingly popular in low and medium‐power applications. The literature review covers the recent developments in analytical models for PM machines with respect to various machine quantities such as magnetic flux density components, induced voltage, inductances, electromagnetic force/torque, efficiency, or unbalanced magnetic force (UMF). It outlines the advantages and disadvantages of different analytical models such as the zero‐dimensional (0‐D), one‐dimensional (1‐D), two‐dimensional (2‐D), and three‐dimensional (3‐D) analytical methods, as well as the Maxwell and basic mathematical analysis. Although the MEC models are faster than the numerical model, they are not as accurate for various structures of electrical machines including a great magnetic air gap. They also note that the analytical models based on the Maxwell equations are faster than the numerical ones and have the potential to obtain acceptable accuracy similar to the numerical models in electrical machines. Overall, this literature review provides valuable insights for researchers and engineers in selecting appropriate analytical models for PM machines. It highlights the trade‐offs between accuracy and computational efficiency when choosing between numerical and analytical models, and the flexibility of analytical models to address changes in machine geometries or input values. Additionally, this helps researchers save time in determining appropriate references regarding the analytical models of brushless PM machines.

show abstract

Comparison between 2‐D and 0‐D analytical models for slotless double‐sided inner armature linear permanent magnet synchronous machines

Cited by 3 publications

References 28 publications

Analytical Modeling for Optimal Rotor Shape to Design Highly Efficient Line-Start Permanent Magnet Synchronous Motor

Analytical Modeling for Optimal Rotor Shape to Design Highly Efficient Line-Start Permanent Magnet Synchronous Motor

Study on Performance Parameters of Short-Secondary Type Slotless Permanent Magnet Linear Synchronous Motor Based on Analytic Method

A review on analytical models of brushless permanent magnet machines

Contact Info

Product

Resources

About