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On-line field balancing technique using virtual trial unbalances in rotor-bearing system incorporated with active magnetic bearing

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Abstract

A practical online balancing methodology is proposed for a rotor system supported on conventional bearings, utilizing an Active Magnetic Bearing (AMB). It does not require mechanical trial masses to be kept at different balancing planes to estimate system parameters and residual unbalances. An Improved Influence Coefficient Method (IICM) is utilized to estimate the residual unbalances at the limited balancing plane locations in the rotor system having residual unbalances. The virtual trial unbalances utilized in the IICM are generated by the AMB as magnetic forces. The residual unbalances are estimated on the experimental test rig designed for rotor balancing incorporated with AMB. With corrected residual unbalances, the rotor system is rotated, both inclusive and exclusive of AMB, to observe the suppression of the vibration responses. It is seen that without application of the AMB also, the balanced system rotates with very less amplitude of vibration, which is useful in case the AMB system fails to suppress the vibration.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati, Assam, 781039, India

    Gyan Ranjan & Rajiv Tiwari

  2. Department of Electronics and Electrical Engineering, Indian Institute of Technology Guwahati, Guwahati, Assam, 781039, India

    H B Nemade

Authors
  1. Gyan Ranjan
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  2. Rajiv Tiwari
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  3. H B Nemade
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Corresponding author

Correspondence to Rajiv Tiwari.

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On behalf of all the authors, the corresponding author states that there is no conflict of interest.

List of symbols

A g

Area of cross-section subjected to the magnetic field

\(e_{{d_{1} }}\), \(e_{{d_{2} }}\)

Eccentricity of unbalances at disc-1 and disc-2 location

e T

Eccentricity corresponding to the added virtual trial unbalance

f l

Static load added at AMB location

f T

Virtual trial unbalance force as magnetic excitation

i b

Bias current

i c

Control current

i l

Static current due to added load at AMB

j

√− 1

k P, k I, k D

Proportional, integral, and derivative gain of the PID controller

k s

Displacement stiffness factor of AMB control force

k i

Current stiffness factor of AMB control force

l g

Length of air gap between the actuator and the ferromagnetic core

\(m_{{d_{1} }}\), \(m_{{d_{2} }}\)

Mass of disc-1 and disc-2

m T

Mass corresponding to the added virtual trial unbalance

\(u_{{d_{1} }}\), \(u_{{d_{2} }}\)

Displacement responses at disc-1 and disc-2 location

x m

Displacement response at the AMB location along the x-axis

x r

Reference signal

μ 0

Magnetic permeability of free space

α

Half of the angle between two poles of the AMB actuator

η s

Complex displacement response

η p

Complex displacement response with phase correction

\(\phi_{{d_{1} }}\), \(\phi_{{d_{2} }}\)

Phase of unbalances at disc-1 and disc-2 location

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Ranjan, G., Tiwari, R. & Nemade, H.B. On-line field balancing technique using virtual trial unbalances in rotor-bearing system incorporated with active magnetic bearing. Sādhanā 47, 95 (2022). https://doi.org/10.1007/s12046-022-01870-x

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  • DOI: https://doi.org/10.1007/s12046-022-01870-x

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