Exact Analytical Method for Active Magnetic Bearings With Rotor Eccentricity

Du, Tingchen; Geng, Haipeng; Zhang, Yanyan; Lin, Hao; Li, Yibin; Yu, Lie

doi:10.1109/tmag.2019.2942023

Cited by 10 publications

(8 citation statements)

References 26 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Therefore, AMBs is an inherently nonlinear system, where every design for AMBs has its own dynamical behaviors. Therefore, many research articles have been dedicated to explore the nonlinear dynamics for different configurations of Rotor-AMBs [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18]. Ji et al [1] explored the nonlinear dynamical behaviors of the four-pole Rotor-AMBs.…”

Section: Introductionmentioning

confidence: 99%

“…They concluded that the cross-feedback control is one of the efficient control method in suppressing the considered system lateral vibrations. Du et al [17] and Xu et al [18] investigated the electromagnetic aspects of the rotor AMBs systems. Zheng et al [19,20], Yao et al [21], and Gao et al [22] introduced different advanced control techniques to stabilize the lateral vibrations of the rotor AMBs system.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Radial Versus Cartesian Control Strategies to Stabilize the Nonlinear Whirling Motion of the Six-Pole Rotor-AMBs

et al. 2020

View full text Add to dashboard Cite

Rotor active magnetic bearings system is the most efficient supporting technique of high-speed rotating machinery. This work aims to explore the dynamical behaviors of the 6-pole rotor active magnetic bearings system for the first time. Two different control strategies are introduced to mitigate the considered system lateral vibrations and the corresponding whirling motions. The first control technique (Radial control) is suggested such that the attractive magnetic force in each pole is proportional to both the radial displacement and radial velocity of the rotating disk toward that pole. The second control strategy (Cartesian control) is proposed such that the controlled magnetic force in each pole is designed to be proportional to both the cartesian displacement and cartesian velocity of the rotating disk in two perpendicular directions. Based on the proposed control strategies, two nonlinear dynamical models are derived and then analyzed by applying perturbation methods. Different response-curves and bifurcation diagrams are plotted utilizing the disk spinning-speed and the disk eccentricity as bifurcation control parameters. The main obtained analytical and numerical results illustrated that the considered system can perform a circular forward whirling motion only under the first control technique, while four whirling modes (that are forward whirling , backward whirling, both forward and backward whirling, and oscillation along a straight line) are noticed in the second control method depending on the disk spinning speed. Moreover, it is found that the radial control method is robust against the system instability than the cartesian control one, especially at large disk eccentricity. However, the cartesian control method could exhibit a vibration suppression efficiency higher than the radial control one at small disk eccentricity.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Radial Versus Cartesian Control Strategies to Stabilize the Nonlinear Whirling Motion of the Six-Pole Rotor-AMBs

et al. 2020

View full text Add to dashboard Cite

show abstract

“…Moreover, the bias flux B p and static control flux B c can also be calculated according to Equation (21), and the bearing capacity and the current stiffness are obtained as follows: -5…”

Section: The Solution Of the Harmonic Coefficientmentioning

confidence: 99%

“…The general solution of vector potential A s (r,θ) of the slot region is obtained according to the method of separation of variables [20][21][22][23].…”

Section: The General Solution Of the Slot Regionmentioning

confidence: 99%

“…The general solution of vector potential A s ( r , θ ) of the slot region is obtained according to the method of separation of variables [20–23].

\begin{array}{l} A_{s} (r, θ) = - \frac{1}{4} μ_{0} J_{s} r^{2} + A_{0} + \frac{1}{2} μ_{0} J_{s} {r_{r p o}}^{2} \ln r \\ + \sum_{k = 1}^{\infty} B_{k} ({r_{r p o}}^{- τ_{k}} r^{τ_{k}} + {r_{r p o}}^{τ_{k}} r^{- τ_{k}}) \cos (τ_{k} (θ - θ_{i})) \end{array}

τ_{k} = \frac{k π}{β}

where A 0 and B k are harmonic coefficients of the slot region and k is the harmonic order of the slot region.…”

Section: Analytical Model Of Hrmbsmentioning

confidence: 99%

See 1 more Smart Citation

Accurate modelling based on a subdomain method for heteropolar radial magnetic bearing with a solid rotor

Deng

Mei

et al. 2021

IET Electric Power Appl

View full text Add to dashboard Cite

In this paper, an analytical model based on the subdomain method is proposed for heteropolar radial magnetic bearings (HRMBs) with a solid rotor. Due to the eddy current effects of the solid rotor in varying magnetic fields, accurate analytical models with no eddy current effects and eddy current effects are established for electromagnetic analysis. First, the HRMB is divided into two regions, including the slot region and air region, and three regions, including the slot region, air region, and rotor region, to determine whether eddy currents are considered. The static analytical model and dynamic analytical model are established separately. Furthermore, the air gap magnetic density is derived utilising vector equations and boundary conditions. The analytical model is verified by finite element analysis. Ultimately, the parameters of the HRMB are optimised, while the analytical results are compared with the prototype's experiment results.This is an open access article under the terms of the Creative Commons Attribution-NonCommercial-NoDerivs License, which permits use and distribution in any medium, provided the original work is properly cited, the use is non-commercial and no modifications or adaptations are made.

show abstract

A quick electromagnetic performance analysis method for permanent magnet claw pole machine based on combined analytical and equivalent magnetic circuit method

Liu

Chao²,

Wang³

et al. 2023

Electr Eng

View full text Add to dashboard Cite

Exact Analytical Method for Active Magnetic Bearings With Rotor Eccentricity

Cited by 10 publications

References 26 publications

Radial Versus Cartesian Control Strategies to Stabilize the Nonlinear Whirling Motion of the Six-Pole Rotor-AMBs

Radial Versus Cartesian Control Strategies to Stabilize the Nonlinear Whirling Motion of the Six-Pole Rotor-AMBs

Accurate modelling based on a subdomain method for heteropolar radial magnetic bearing with a solid rotor

A quick electromagnetic performance analysis method for permanent magnet claw pole machine based on combined analytical and equivalent magnetic circuit method

Contact Info

Product

Resources

About