Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 32146
A Fuzzy Satisfactory Optimization Method Based on Stress Analysis for a Hybrid Composite Flywheel

Authors: Liping Yang, Curran Crawford, Jr. Ren, Zhengyi Ren


Considering the cost evaluation and the stress analysis, a fuzzy satisfactory optimization (FSO) method has been developed for a hybrid composite flywheel. To evaluate the cost, the cost coefficients of the flywheel components are obtained through calculating the weighted sum of the scores of the material manufacturability, the structure character, and the material price. To express the satisfactory degree of the energy, the cost, and the mass, the satisfactory functions are proposed by using the decline function and introducing a satisfactory coefficient. To imply the different significance of the objectives, the object weight coefficients are defined. Based on the stress analysis of composite material, the circumferential and radial stresses are considered into the optimization formulation. The simulations of the FSO method with different weight coefficients and storage energy density optimization (SEDO) method of a flywheel are contrasted. The analysis results show that the FSO method can satisfy different requirements of the designer and the FSO method with suitable weight coefficients can replace the SEDO method.

Keywords: Flywheel energy storage, fuzzy, optimization, stress analysis.

Digital Object Identifier (DOI):

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 658


[1] M. Krack, M. Secanell, P. Mertiny, “Cost Optimization of Hybrid Composite Flywheel Rotors for Energy Storage,” Struct Multidisc Optim, vol.41, 2010, pp. 779–795.
[2] M. Krack, M. Secanell, P. Mertiny, “Cost Optimization of a Hybrid Composite Flywheel Rotor with a Split-type Hub Using Combined Analytical/numerical Models,” Struct Multidisc Optim, vol.44, 2011, pp. 57-73.
[3] X. l. Yan, “Cost Optimization Design of Hybrid Composite Flywheel Rotor,” Journal of mechanical engineering, vol.4. n12, 2012, pp. 118-126.
[4] J. Huang, G. Fadel, “Heterogeneous Flywheel Modeling and Optimization,” Materials and Design, vol.21. n2, 2000, pp 111-125.
[5] D. Krzyszt, T. Jan, “Two Methods for Optimization of Flywheel,” Engineering Optimization, vol.41. n4, 2009, pp. 351-363.
[6] S. Ha, H. Jeong, Y. Cho, “Optimum Design of Thick-walled Composite Rings for an Energy Storage System,” Journal of Composite Materials, vol.32. n9, 1998, pp. 851-873.
[7] S. K. Ha, J. H. Kim, Y. H. Han, “Design of a hybrid composite flywheel multi-rim rotor system using geometric scaling factors,” Compos Mater, vol.42. n8, 2008, pp. 771-85.
[8] J. D. Kwon, S. J. Kim, S. U. Nasir, S. K. Ha, “Design and Fabrication of Hybrid Composite Flywheel Rotor,” World Academy of Science, Engineering and Technology, vol.60, 2011, pp. 1869-1873.
[9] D. H. Curtiss, P P Mongeau, R L Puterbaugh, “Advanced Composite Flywheel Structural Design for a Pulsed Disk Alternator,” IEEE Transactions On Magnetics, vol.31. n1, 1995, pp. 26-31.
[10] S.K. Ha, S. J. Kim, S. U. Nasir, S. C. Han. “Design optimization and fabrication of a hybrid composite flywheel rotor,” composite structure, vol.94, 2012, pp.3290-3299.
[11] M. Sakawa, K. Kosuke, K. Hideki, “An Interactive Fuzzy Satisficing Method for Multiobjective Linear Programming Problems with Random Variable Coefficients Through a Probability Maximization Model,” Fuzzy Sets and Systems, vol.146, 2004, pp. 205-220.
[12] R. N. Tiwari, S. Dharmar, J. R. Rao, “Fuzzy Goal Programming-An Additive Model,” Fuzzy Sets and Systems, vol.24, 1987, pp. 27-34.
[13] S. K. Ha, H. I. Yang, D. J. Kim, “Optimal Design of a Hybrid Composite Flywheel with a Permanent Magnet Rotor,” Journal of Composite Materials, vol.33. n16, 1999, pp. 1544-1575.