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Improvement of high-speed stability of an aerostatic bearing-rotor system using an active magnetic bearing

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Abstract

This paper presents an improvement of the high-speed stability of an aerostatic bearing (ASB) rotor system with an active magnetic bearing (AMB). The AMB can effectively extend the operating range of the ASB-rotor system by adjusting its stiffness and damping through active feedback control. An experimental setup has been built for a rotor supported by both ASB and AMB. Through experiment, we first demonstrated that the fluid induced instability of the rotor bearing system occurs at around 27,000rpm, which conforms to our theoretical analysis. After that, we verified that the AMB can be used to suppress the fluid induced instability of the ASB-rotor system, and to extend its operating speed up to 35,000 rpm.

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Abbreviations

Aa :

area of the pole face

CASB :

ASB damping coefficient matrix

C:

bearing clearance

cASB :

ASB damping coefficient

D:

differential gain of feedback control

Dc :

damping matrix provided by the local feedback control

e:

eccentricity of journal

F:

bearing reaction force

Fst :

static load

f:

ASB or AMB force

fU :

unbalance force

G:

gyroscopic matrix

h:

gas film thickness

I:

integration gain of feedback control

Ie :

unit matrix

Ix, Iy :

moment of inertia

Iz :

polar moment of inertia

i:

individual coil control currents vector

i0 :

bias current

ix :

control current

KASB :

ASB stiffness coefficient matrix

Ki :

force-current gain matrix

Ks :

open-loop stiffness matrix

KsS :

bearing stiffness matrix transformed into C.O.G. coordinate

kASB :

ASB stiffness coefficient

ki :

force-current gain of AMB

ks :

open-loop stiffness of AMB

M:

inertia matrix

m:

mass of rotor

mr:

unbalance of rotor

N:

filter factor to differential gain

n:

number of coil turns

Ob :

bearing center

Oj :

journal center

P:

proportional gain of feedback control

Pc :

stiffness matrix provided by the local feedback control

p:

gas film pressure

q:

rotor displacements vector

R:

receptance of the rotor

s0 :

air gap length of AMB

T:

transformation matrix

t:

time

u:

resultant bearing force vector

x, y, z:

cartesian coordinate

x̃, ỹ:

normalized rotor center position

y:

rotor displacements vector at sensor position

α, β:

Euler angles

αp :

angle between x-axis and center line of pole

η:

gas viscosity

θ:

circumferential coordinate

μ0 :

magnetic permeability of a vacuum

φ:

attitude angle of a journal center

Ω:

angular velocity of journal

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Authors and Affiliations

  1. Department of Mechanical & Aerospace Engineering, Seoul National University, 1 Gwanak-ro, Gwanak-gu, Seoul, South Korea, 151-742

    Hee-Do Jang & Jongwon Kim

  2. Institute of Advanced Machinery and Design, Seoul National University, 1 Gwanak-ro, Gwanak-gu, Seoul, South Korea, 151-742

    Dong-Chul Han

  3. Manufacturing Systems and Design Engineering, Seoul National University of Science and Technology, 232 Gongneung-ro, Nowon-gu, Seoul, South Korea, 139-743

    Dong-Young Jang

  4. Department of Mechanical Engineering, Soongsil University, 369 Sangdo-ro, Dongjak-gu, Seoul, South Korea, 156-743

    Hyeong-Joon Ahn

Authors
  1. Hee-Do Jang
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Correspondence to Hyeong-Joon Ahn.

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Jang, HD., Kim, J., Han, DC. et al. Improvement of high-speed stability of an aerostatic bearing-rotor system using an active magnetic bearing. Int. J. Precis. Eng. Manuf. 15, 2565–2572 (2014). https://doi.org/10.1007/s12541-014-0628-y

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  • DOI: https://doi.org/10.1007/s12541-014-0628-y

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