| With the rapid development of permanent magnet materials,there has been more and more extensive application of permanent magnet motor in various fields,such as power systems,electric vehicles and household appliances,which makes higher requirements on the performance of permanent magnet motor.Due to the nature of large-scale manufacturing production,performance of permanent magnet motor is under the influence of uncertainty factors such as its manufacturing process and different operating conditions,resulting in the deviations,common uncertainty factors in engineering problems include dimensional deviations and uneven material properties.However,it is difficult to select the optimal solution of performance based on general motor performance analysis for a stable operation in the corresponding cases.Thus,it is necessary to take uncertainty analysis and evaluation on the performance of permanent magnet motor under the influence of uncertainty factors.Despite the wide concern on the uncertainty analysis in the field of electrical engineering,there is no detailed research on the uncertainty analysis of permanent magnet motor with random and interval hybrid uncertainties,especially the one on the dimension deviations and material property deviations of permanent magnet,and the accuracy of the uncertain analysis imposes significant effects on the results of motor optimization and robustness analysis.Under this background,the deviations of dimensions and magnetic properties of permanent magnet material are taken as the random uncertainty factors and the dimension deviations of stator structure is taken as the interval uncertainty factor in this paper,to study the method to evaluate the influence of hybrid uncertainty factors on the performance of permanent magnet motor,and the probability distribution of permanent magnet motor performance under the influence of uncertain factors is obtained,which provides an effective analysis method for the practical engineering problems due to the deviations in the manufacturing and assembly of permanent magnet motor.Firstly,the in-depth study was conducted on Polynomial Chaos algorithm and Chebyshev interval algorithm.Based on theory of uncertainty analysis,the study is conducted on the analysis process and value realization of Polynomial chaos-Chebyshev interval algorithm（PCCI）,to evaluate the performance under the influence of hybrid uncertainty factors based on numerical examples.Secondly,an experiment is designed to measure the permanent magnet sample and determine its probability distribution and distribution parameters.Based on the theoretical analysis of the characteristics of motor operation with the combination of experimental measurement parameters,the widths of remanence and permanent magnet are selected as the random uncertainties.Finite element simulation is conducted on a set of permanent magnet motor to analyze the influence of permanent magnet uncertainties on the operation performance of permanent magnet motor.Finally,the interval uncertainties are selected through finite element simulation and global sensitivity analysis.The variation range of statistical characteristics（mean value and variance）of various performance indexes of permanent magnet motor under the influence of hybrid uncertainties is calculated,combined with PCCI and finite element simulation.A proxy model of PCCI method is constructed to verify the accuracy of the results by Monte Carlo method,and compared with low-order expansion to analyze the complexity of the performance model for timesaving for similar calculations. |
