Abstract:
A new kind of multiobjective simulated annealing algorithm is
proposed, in which the concept of non-dominated character is
introduced and a new multiobjective acceptance criterion is set
up. The optimization example of a typical mathematical problem
with two minimum objective functions indicates that all of the
solutions contract to the set of the non-dominated points, and
the variation trend of the optimal solutions is verified to be
identical with that obtained using Genetic Algorithms. The new
developed algorithm is then applied to the multiobjective
optimization design of turbine cascades, in which it is coupled
with the aerodynamics computation of the cascade flow fields and
performance and the calculated loss coefficient and work
potential of the cascade are considered as the objective
functions, thus setting up a technique to the engineering
optimization design for the cascades. The optimization results,
by the view of a group of optimal solutions, show that the
algorithm is superior to the traditional technique of
multiobjective optimization design and can be applied to more
than two objective optimization cascade design problem or other
engineering multiobjective optimization designs.
Key words: Simulated
annealing algorithm Multiobjective Optimization design Turbine
cascade
*
This project
is supported by Doctorate Foundation of Xi'an Jiaotong University. Manuscript received on
May 15, 1998; revised manuscript July 20, 1998
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