主动磁悬浮轴承(Active Magnetic Bearing, AMB)对转子的加工精度要求很高,圆度误差是转子加工中常见的误差,但是前人的工作中关于圆度误差影响的研究很少。建立了四自由度AMB的数学模型,分析了圆度误差对力-电流系数和力-位移系数的影...主动磁悬浮轴承(Active Magnetic Bearing, AMB)对转子的加工精度要求很高,圆度误差是转子加工中常见的误差,但是前人的工作中关于圆度误差影响的研究很少。建立了四自由度AMB的数学模型,分析了圆度误差对力-电流系数和力-位移系数的影响,推导了四自由度AMB的闭环特征方程。通过闭环特征方程的性质,分析了圆度误差对四自由度AMB稳定性的影响,通过仿真和实验验证了上述分析的正确性。研究结果表明,过大的圆度误差会使四自由度AMB系统不稳定,但通过选取合适的PID参数能够使系统恢复稳定。展开更多
The active magnetic bearing（AMB）suspends the rotating shaft and maintains it in levitated position by applying controlled electromagnetic forces on the rotor in radial and axial directions.Although the development o...The active magnetic bearing（AMB）suspends the rotating shaft and maintains it in levitated position by applying controlled electromagnetic forces on the rotor in radial and axial directions.Although the development of various control methods is rapid,PID control strategy is still the most widely used control strategy in many applications,including AMBs.In order to tune PID controller,a particle swarm optimization（PSO）method is applied.Therefore,a comparative analysis of particle swarm optimization（PSO）algorithms is carried out,where two PSO algorithms,namely（1）PSO with linearly decreasing inertia weight（LDW-PSO）,and（2）PSO algorithm with constriction factor approach（CFA-PSO）,are independently tested for different PID structures.The computer simulations are carried out with the aim of minimizing the objective function defined as the integral of time multiplied by the absolute value of error（ITAE）.In order to validate the performance of the analyzed PSO algorithms,one-axis and two-axis radial rotor/active magnetic bearing systems are examined.The results show that PSO algorithms are effective and easily implemented methods,providing stable convergence and good computational efficiency of different PID structures for the rotor/AMB systems.Moreover,the PSO algorithms prove to be easily used for controller tuning in case of both SISO and MIMO system,which consider the system delay and the interference among the horizontal and vertical rotor axes.展开更多
文摘主动磁悬浮轴承(Active Magnetic Bearing, AMB)对转子的加工精度要求很高,圆度误差是转子加工中常见的误差,但是前人的工作中关于圆度误差影响的研究很少。建立了四自由度AMB的数学模型,分析了圆度误差对力-电流系数和力-位移系数的影响,推导了四自由度AMB的闭环特征方程。通过闭环特征方程的性质,分析了圆度误差对四自由度AMB稳定性的影响,通过仿真和实验验证了上述分析的正确性。研究结果表明,过大的圆度误差会使四自由度AMB系统不稳定,但通过选取合适的PID参数能够使系统恢复稳定。
基金Supported by University of Rijeka,Croatia(Grant Nos.13.09.1.2.11,13.09.2.2.19)
文摘The active magnetic bearing（AMB）suspends the rotating shaft and maintains it in levitated position by applying controlled electromagnetic forces on the rotor in radial and axial directions.Although the development of various control methods is rapid,PID control strategy is still the most widely used control strategy in many applications,including AMBs.In order to tune PID controller,a particle swarm optimization（PSO）method is applied.Therefore,a comparative analysis of particle swarm optimization（PSO）algorithms is carried out,where two PSO algorithms,namely（1）PSO with linearly decreasing inertia weight（LDW-PSO）,and（2）PSO algorithm with constriction factor approach（CFA-PSO）,are independently tested for different PID structures.The computer simulations are carried out with the aim of minimizing the objective function defined as the integral of time multiplied by the absolute value of error（ITAE）.In order to validate the performance of the analyzed PSO algorithms,one-axis and two-axis radial rotor/active magnetic bearing systems are examined.The results show that PSO algorithms are effective and easily implemented methods,providing stable convergence and good computational efficiency of different PID structures for the rotor/AMB systems.Moreover,the PSO algorithms prove to be easily used for controller tuning in case of both SISO and MIMO system,which consider the system delay and the interference among the horizontal and vertical rotor axes.
