The Taylor model arithmetic is introduced to deal with uncertainty.The uncertainty of model parameters is described by Taylor models and each variable in functions is replaced with the Taylor model(TM).Thus,time domai...The Taylor model arithmetic is introduced to deal with uncertainty.The uncertainty of model parameters is described by Taylor models and each variable in functions is replaced with the Taylor model(TM).Thus,time domain simulation under uncertainty is transformed to the integration of TM-based differential equations.In this paper,the Taylor series method is employed to compute differential equations;moreover,power system time domain simulation under uncertainty based on Taylor model method is presented.This method allows a rigorous estimation of the influence of either form of uncertainty and only needs one simulation.It is computationally fast compared with the Monte Carlo method,which is another technique for uncertainty analysis.The proposed method has been tested on the 39-bus New England system.The test results illustrate the effectiveness and practical value of the approach by comparing with the results of Monte Carlo simulation and traditional time domain simulation.展开更多
无刷直流电机(brushless direct current motor,BLDCM)是一种非线性的系统,传统比例积分(proportional-integral,PI)控制存在响应速度慢、动态性能差等问题。针对无刷直流电机运行过程的精准控制存在系统不确定性问题,通过将时变论域、...无刷直流电机(brushless direct current motor,BLDCM)是一种非线性的系统,传统比例积分(proportional-integral,PI)控制存在响应速度慢、动态性能差等问题。针对无刷直流电机运行过程的精准控制存在系统不确定性问题,通过将时变论域、变积分逻辑、区间二型模糊集合综合判断与模糊比例积分微分(proportional-integral-derivative,PID)控制规则相结合,提出了一种新型的二型模糊变积分PID控制器,解决了传统PI控制与一型模糊控制的转速跟踪不足、容易偏离目标转速等问题。仿真结果表明,将二型模糊变积分PID控制算法应用在双闭环调速系统中,获得了更快的转速响应速度、更强的鲁棒性以及更小的超调量,所提方法为无刷直流电机系统提供了新的控制思路。展开更多
基金supported by the National Natural Science Foundation of China (Grant No.50477035).
文摘The Taylor model arithmetic is introduced to deal with uncertainty.The uncertainty of model parameters is described by Taylor models and each variable in functions is replaced with the Taylor model(TM).Thus,time domain simulation under uncertainty is transformed to the integration of TM-based differential equations.In this paper,the Taylor series method is employed to compute differential equations;moreover,power system time domain simulation under uncertainty based on Taylor model method is presented.This method allows a rigorous estimation of the influence of either form of uncertainty and only needs one simulation.It is computationally fast compared with the Monte Carlo method,which is another technique for uncertainty analysis.The proposed method has been tested on the 39-bus New England system.The test results illustrate the effectiveness and practical value of the approach by comparing with the results of Monte Carlo simulation and traditional time domain simulation.
文摘无刷直流电机(brushless direct current motor,BLDCM)是一种非线性的系统,传统比例积分(proportional-integral,PI)控制存在响应速度慢、动态性能差等问题。针对无刷直流电机运行过程的精准控制存在系统不确定性问题,通过将时变论域、变积分逻辑、区间二型模糊集合综合判断与模糊比例积分微分(proportional-integral-derivative,PID)控制规则相结合,提出了一种新型的二型模糊变积分PID控制器,解决了传统PI控制与一型模糊控制的转速跟踪不足、容易偏离目标转速等问题。仿真结果表明,将二型模糊变积分PID控制算法应用在双闭环调速系统中,获得了更快的转速响应速度、更强的鲁棒性以及更小的超调量,所提方法为无刷直流电机系统提供了新的控制思路。
