以一种额定转速为5000r/min,额定角动量为50Nms的磁悬浮飞轮转子系统为对象,对混合离散变量非线性优化问题进行了研究.建立了飞轮转子的优化模型,并改进了传统的优化设计方法.采用针对离散变量的全域遍数法,嵌套连续变量的序列二次规划法,对转子系统进行优化设计.在此基础上,考虑转子质心与磁轴承几何中心距离,对转子进行二次优化.结果显示,轮辐为5根时,转子质量达到全域最小,约为7.25kg.根据优化结果研制了一台磁悬浮飞轮,并对优化模型的谐响应分析结果进行实验验证,两者最大误差为2.2%.
A imed at magnetic bearing wheel rotor system with rating rotate speed of 5000r/min and rating angular momentum of SONms, the non-linear optimization of mixed dispersed variables was presented. The optimization model of wheel rotor was established, and the conventional optimization methods were improved. The wheel rotor was optimized by using the method of point-by-point comparing for dispersed variables at macrocosm combined with the sequential quadratic programming method for continuous variables. Upon this, concerning the distance between rotor centroid and magnetic bearing center, the rotor was further optimized. The results showed that the mass of wheel rotor reached to minimum of 7.25kg, corresponding to the number of spokes of S. According to optimization results, a magnetic bearing wheel was manufactured and its harmonic response analysis of rotor was verified by experiments. The verification indicated the maximum error was 2.2%.