关键词: 热传导系数, 量子行为粒子群优化算法, Tikhonov正则化, 共轭梯度法, L曲线

Abstract: In this paper, the Quantum-behaved Particle Swarm Optimization（QPSO） with Tikhonov regularization is used to solve the inverse heat conduction problem of estimating the time dependent heat transfer coefficient of a flat plate. The prior information about the functional form of the unknown is unavailable. The estimation is based on transient temperature measurements taken by the sensors imbedded in the plate, which are used in the least square model, minimized by QPSO. The detail of choosing the best regularization parameter by L-curve method is presented. Numerical experiments are performed to test the proposed method. Effects of the location and number of sensors are also investigated. Comparison with conjugate gradient method is given as well.

Key words: heat transfer coefficient, Quantum-behaved Particle Swarm Optimization（QPSO）, Tikhonov regularization, conjugate gradient method, L-curve