The rotordynamic performance of API 617 standards provides two primary requirements. First, the standard stipulates system damping near the expected operating speed range. Second, the standard requires a specific bound of the worst case unbalance response. The problem this poses for machine designers is (1) feasibility: can bearings be designed for a given rotor to meet API 617 and (2) if so, how can these bearings be designed? Our primary effort in this research is to convert the API requirements to a control design objective for a bearing. This permits direct assessment of the feasible design problem as well as providing a means to synthesize optimal bearing dynamics. In addition to providing synthesis of magnetic bearings, the resulting bearing transfer functions give direct guidance to selection of more conventional fluid film or rolling element bearings.

1.
Doyle
,
J. C.
,
Glover
,
K.
,
Khargonekar
,
P.
, and
Francis
,
P.
,
1989
, “
State Space Solutions to Standard H-2 and H-infinity
,”
IEEE Trans. Autom. Control
,
AC-34
, pp.
831
847
.
2.
Doyle, J. C., Packard, A., and Zhou, K., 1991, “Review of LFTs, LMIs, and μ,” Proceedings of the 30th IEEE conference on Decision and Control, 2, pp. 1227–1232.
3.
Packard
,
A.
, and
Doyle
,
J. C.
,
1993
, “
The Complex Structured Singular Value
,”
Automatica
,
29
, pp.
71
109
.
4.
Zhou, K., Doyle, J. C., and Glover, K., 1996, Robust and Optimal Control, Prentice-Hall, Englewood Cliffs, NJ.
5.
Cloud, C. H., Foiles, W. C., Li, G., Maslen, E. H., and Barrett, L. E., 2002, “Practical Applications of Singular Value Decomposition in Rotordynamics,” in Proceedings of 6th International Conference on Rotor Dynamics.
6.
Zames
,
G.
,
1966
, “
On the Input-Output Stability of Nonolinear Time-Varying Feedback Systems, Part I
,”
IEEE Trans. Autom. Control
,
11
, pp.
228
238
.
7.
API 617, Axial and Centrifugal Compressors and Turboexpanders for Petroleum, Chemical and Gas Industry Services, American Petroleum Institute, Washinton D.C., 2002.
8.
Balas, G. J., Doyle, J. C., Glover, K., Packard, A. K., and Smith, R., 1995, μ Analysis and Synthesis Toolbox User’s Guide, The MathWorks, Natick, MA.
9.
Skogestad, S., and Postlethwaite, I., 1996, Multivariable Feedback Control: Analysis and Design, Wiley, West Sussex, England.
10.
Branch, M. A., and Grace, A., 1996, MATLAB Optimization Toolbox User’s Guide, The MathWorks, Natick, MA.
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