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TECHNICAL PAPERS: Gas Turbines: Structures and Dynamics

Active Rotor-Blade Vibration Control Using Shaft-Based Electromagnetic Actuation

[+] Author and Article Information
René H. Christensen, Ilmar F. Santos

Department of Mechanical Engineering,  Technical University of Denmark, DK-2800 Kgs. Lyngby, Denmark

J. Eng. Gas Turbines Power 128(3), 644-652 (Mar 01, 2004) (9 pages) doi:10.1115/1.2056533 History: Received October 01, 2003; Revised March 01, 2004

In this paper the feasibility of actively suppressing rotor and blade vibration via shaft-based actuation is studied. A mathematical model is derived, taking into account the special dynamical characteristics of coupled rotor-blade systems, such as centrifugal stiffened blades and parametric vibration modes. An investigation of controllability and observability shows that if the blades are properly mistuned, it is possible to suppress shaft as well as blade vibration levels by using only shaft-based actuation and sensing; though, in tuned bladed systems, shaft as well as blade actuation and sensing are required. In order to cope with the time-variant dynamics of the coupled rotor-blade system, a periodic time-variant modal controller is designed, implemented, and experimentally tested. A test rig built by four flexible blades is specially designed for this purpose. The rig is equipped with six electromagnetic actuators and different types of sensors (eddy-current displacement transducers, acceleration transducers, and strain gages) with the aim of monitoring and controlling shaft and blade vibration levels. Two different actively controlled rotor-blade system configurations are considered in the present study: (i) a tuned bladed rotor, controlled with help of actuators attached to the rotating blades and shaft-based actuators; (ii) a deliberately mistuned bladed rotor controlled only via shaft-based actuation. Experimental tests are carried out for both configurations. Some experimental problems regarding control implementation are identified and discussed, especially when the controller order and the number of actuators in the centralized control scheme become too high; though, for the mistuned bladed rotor controlled by using only shaft-based actuation, the controller works well.

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Copyright © 2006 by American Society of Mechanical Engineers
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Figures

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Figure 1

Mechanical model of the rotor-blade system with actuator forces applied to the rotor as well as to the blades

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Figure 2

Theoretical waterfall diagrams showing normalized frequency responses of the (a) blade movement and (b) rotor movement for a coupled rotor-blade system with identical blades as functions of the rotational speed

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Figure 3

Theoretical waterfall diagram showing normalized frequency responses of the (a) blade movement and the (b) rotor movement for a coupled mistuned rotor-blade system as functions of the rotational speed

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Figure 4

Photograph and schematic drawing of the test rig

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Figure 5

Close-up photographs of the rotor-blade test rig showing measurement sensors and electromagnetic actuators

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Figure 6

Control setup for the rotor system

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Figure 7

Experimental rotor-blade system setup: electromagnetic shaker (element 11) power amplifier for the shaker (element 12), force transducer (element 13), and charge amplifier (element 14)

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Figure 8

Experimental frequency response (waterfall diagrams) of the (a) blade movement and (b) rotor horizontal movement of the noncontrolled rotor-blade system.

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Figure 9

Experimental frequency response function of the rotor lateral motion for the noncontrolled system and controlled by six decentralized PD controllers

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Figure 10

Experimental frequency response function of a blade motion for the noncontrolled system and controlled by six decentralized PD controllers

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Figure 11

Experimental frequency response function of the rotor lateral motion for the noncontrolled system and when controlled by a periodic time-variant modal state feedback controller

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Figure 12

Experimental frequency response function of a blade motion for the noncontrolled system and when controlled by a periodic time-variant modal state feedback controller

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Figure 13

Experimental frequency response function of the rotor lateral motion for the noncontrolled system and for the rotor-blade system controlled by only shaft actuation

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Figure 14

Experimental frequency response function of a blade motion for the noncontrolled system and for the rotor-blade system controlled by only shaft actuation.

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