By Se Young Yoon, Zongli Lin, Paul E. Allaire
Surge keep an eye on of Active-magnetic-bearing-suspended Centrifugal Compressors units out the basics of integrating energetic magnetic bearing (AMB) rotor suspension know-how in compressor platforms, and describes how this fairly new bearing expertise should be hired in lively keep an eye on of compressor surge initiation. The authors offer a self-contained and entire overview of rotordynamics and the basics of AMB know-how. The lively stabilization of compressor surge making use of AMBs in a computing device is totally explored, from modeling of instability and controller layout, to the implementation and experimental trying out of the keep an eye on set of rules in a specially-constructed, industrial-size centrifugal compression procedure. the result of those assessments reveal the good capability of the recent surge keep an eye on process advised during this textual content.
This publication can be worthy for engineers in industries that contain turbocompressors and magnetic bearings, in addition to for researchers and graduate scholars within the box of utilized keep watch over. no matter what their point of expertise, engineers operating within the fields of turbomachinery, magnetic bearings, rotordynamics and controls will locate the fabric during this publication soaking up as a majority of these very important points of engineering are built-in to create a multi-disciplinary approach to a real-life commercial challenge and the ebook is an appropriate creation to the world for newcomers.
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Extra resources for Control of Surge in Centrifugal Compressors by Active Magnetic Bearings: Theory and Implementation
The details about the design of the levitation and surge controllers, as well as the experimental implementation and testing results, are presented in these chapters. Chapter 2 Introduction to Rotor Dynamics Rotor dynamics is the branch of engineering that studies the lateral and torsional vibrations of rotating shafts, with the objective of predicting the rotor vibrations and containing the vibration level under an acceptable limit. The principal components of a rotor-dynamic system are the shaft or rotor with disk, the bearings, and the seals.
2 Conical Mode at Zero Rotating Speed In the general case with non-zero rotating speed (ω = 0), the characteristic equation, after expanding the determinant of the matrix in Eq. 58), becomes Jt s 2 + δ 2 + (Jp ωs)2 = 0. 61) In the same way as in Sect. 1, the undamped conical natural frequency ωnC is found from the complex zeros of the characteristic equation in Eq. 61), s = ±j ωnC . This is an expression equivalent to 2 s 2 = −ωnC . Replacing the above expressions for s in the characteristic equation in Eq.
As the value of P increases for different geometries of the rotor, we can observe a more significant drift in the mode frequency. 2 Rotor Gyroscopic Effects 35 Fig. 6 Dimensionless conical natural frequency ratio versus the conical mode frequency ratio 36 2 Introduction to Rotor Dynamics for the extreme case of P ≥ 1, we observe in Fig. 6 that the shaft rotation would never excite one of the forward conical modes as the gyroscopic effects keep the mode frequency always above the rotor operating speed.
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