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Research Papers: Gas Turbines: Structures and Dynamics

Optimum Damping Control of the Flexible Rotor in High Energy Density Magnetically Suspended Motor

[+] Author and Article Information
Jiancheng Fang

Science and Technology
on Inertial Laboratory,
Beihang University,
Shining Building 403,
Xueyuan Road,
Beijing 100191, China
e-mail: fangjiancheng@buaa.edu.cn

Enqiong Tang

Science and Technology
on Inertial Laboratory,
Beihang University,
Shining Building 403,
Xueyuan Road,
Beijing 100191, China
e-mail: tang.forever@163.com

Shiqiang Zheng

Science and Technology
on Inertial Laboratory,
Beihang University,
Shining Building 403,
Xueyuan Road,
Beijing 100191, China
e-mail: zhengshiqiang@buaa.edu.cn

1Corresponding author.

Contributed by the Structures and Dynamics Committee of ASME for publication in the JOURNAL OF ENGINEERING FOR GAS TURBINES AND POWER. Manuscript received November 14, 2014; final manuscript received December 8, 2014; published online January 28, 2015. Editor: David Wisler.

J. Eng. Gas Turbines Power 137(8), 082505 (Aug 01, 2015) (9 pages) Paper No: GTP-14-1621; doi: 10.1115/1.4029393 History: Received November 14, 2014; Revised December 08, 2014; Online January 28, 2015

The rated rotational speed of the magnetically suspended motor (MSM) is always above the bending critical speed to achieve high energy density. The rotor will have a dramatic resonance when it passes the critical speed. Then, the magnetic bearing has to provide large bearing force to suppress the synchronous vibration. However, the bearing force is always limited by magnetic saturation and power amplifier voltage saturation. This paper proposed an optimum damping control method which can make effective use of the limited bearing force to minimize the synchronous vibration amplitude of the rotor nearby the critical speed. The accurate rotor model is obtained by theoretical analysis and system identification. The unbalance force response of the bending mode of the rotor is analyzed. The small gain theorem is used to determine the range of the magnitude of the control system. Then, the relationship of the optimum damping varying with the magnitude and phase of the control system nearby the critical speed is analyzed. The run-up experiments are carried out in 315 kW MSM and the results show the effectiveness and superiority of the optimum damping control method.

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References

Figures

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Fig. 1

The sketch map of the MSM

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Fig. 2

The flexible rotor of the 315 kW HEDMSM

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Fig. 3

The block diagram of the rotor–AMB system

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Fig. 4

The rotor finite element model with n segments

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Fig. 5

The bending mode shape of the flexible rotor

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Fig. 6

The measurement schematic diagram of the rotor frequency characteristics

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Fig. 7

Frequency characteristics of the rotor model compared to experimental measurements results

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Fig. 8

The relation curves among km, dm, and Cm

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Fig. 9

The relation curves among km, dm, and ε

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Fig. 10

The equivalent magnetic bearing system including model error

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Fig. 11

The relation of f(ωb1) varies with φ(ωb1) and B(ωb1)

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Fig. 12

The relation of damping ratio ε varies with B(ωb1) and φ(ωb1)

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Fig. 13

The value of the optimum phase φc(ωb1) relative to the magnitude Bc(ωb1)

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Fig. 14

Frequency characteristics of switching power amplifier with experimental measurements and theoretical model

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Fig. 15

Frequency characteristics of Gsca(s)

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Fig. 16

Frequency characteristics of PBF with different parameters

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Fig. 17

The experimental system of the 315 kW HEDMSM. (1) MSM, (2) coupling guard, (3) power supply 48 V, (4) control system, (5) oscilloscope, and (6) UPS.

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Fig. 18

The magnitude of rotor synchronous vibration displacement with different PBFs in run-up test

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Fig. 19

The magnitude of amplifier synchronous current with different PBFs in run-up test

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