An Algorithm for Finding Optimum Distribution of the Turbine Blades Considering the Initial Wheel Unbalance

Document Type : Research Paper

Authors

Abstract

Turbine rotor unbalance leads to reduction in performance, wear of the parts and damage. Departure of the mass and center of mass of the blades from their ideal values, manufacturing errors in the wheel and uneven distribution of other parts like shims, are considered as the main sources of unbalance in rotors. Before dynamic balancing of rotor, an optimum distribution of the blades and other parts is needed to be found, such that there remains minimum static unbalance in a stage. To achieve such distribution, the weight moment of the individual blades and other parts are measured in advance. There have been several algorithms in the literature for finding the optimum distribution, however they do not take into account the initial unbalance of the wheel and uneven distribution of the shims. In this paper, a method is proposed to find a distribution of the blades and spacer shims, if any, such that the initial unbalance of the wheel is canceled and the unbalance of the stage is minimized. The results of the proposed method is compared with those obtained from other algorithms and two cases worked out by active companies in this area. The residual unbalances obtained from the proposed method are up to 10 times lower than the minimum values that can be achieved by the other method and, shows an improvement of up to 108 times for the two cases mentioned.

Keywords

References

 
[1]      Mason, A., RFonnqvist, M. (1997). “Solution methods for the balancing of jet turbines”. Computers and Operations Research, Vol. 24, pp.153–167.
[2]      Laporte, G., Mercure, H. (1988). “Balancing hydraulic turbine runners: a quadratic assignment problem”. European Journal of Operational Research, Vol. 35, pp. 378–381.
[3]      Fathi, Y., Ginjupalli, K.K. (1993). “A mathematical model and a heuristic for the turbine balancing problem”. European Journal of Operational Research, Vol. 63, pp. 336–342.
[4]      Pitsoulis, L.S., Pardalos, P.M., Hearn, D.W. (2001). “Approximate solutions to turbine balancing problem”. European Journal of Operational Research, Vol. 130, pp. 147–155.
[5]      Amiouny, S.V., Bartholdi, J.J., Vande, J.H.V. (2000). “Heuristics for balancing turbine fans”. Operations Research, Vol. 48, pp. 591–602.
[6]      Storer, R.H., (1999). “Extensions of and uses for the di8erencing algorithm for number partitioning”. Report No. 99T-09, Department of Industrial and Manufacturing Systems Engineering, Lehigh University, Bethlehem, Pennsylvania.
[7]      Storer, R.H., Choi, W. (2004). “Heuristic algorithms for a turbine-blade-balancing problem”. Computers and Operations Research, Vol. 31, pp. 1245–1258.
[8]      Karmakar, N.R.M., Karp, R.M. (1982). “The differencing method for set partitioning”. Report No. UCB/CSD 82/113, Computer Science Division, University of California, Berkley.
 
Journal of Modeling in Engineering
Volume 14, Issue 47
December 2016
Pages 115-125

Files

History

  • Receive Date: 03 April 2013
  • Revise Date: 29 May 2014
  • Accept Date: 15 November 2014

Share

How to cite

Statistics