Research On Distributed Parameters Model Of Solenoid Electromagnetic Device With Fan-shaped Permanent Magnet And Its Application

The solenoid electromagnetic device with fan-shaped permanent magnet has been widely applied in various fields,especially in the aerospace industry,due to the reliability,fast driving action.The solenoid electromagnetic device is a key component of the pneumatic steering engine control device with the output force and the latching force as its important technical requirements.In fact,the product robustness has always been the focus of the researches in this field.The overall design of the solenoid electromagnetic device with fan-shaped permanent magnet still mainly relies on the designers' experience,lacking guidance.The methods designers often use in optimizing the product parameters are the finite element method and the lumped parameter method.However,the finite element method has great advantage in computational accuracy but consumes too much computing resources and takes a long computation period;the lumped parameter modeling method takes a shorter computational period but with low computational accuracy,thus both above methods are not applicable to the robust design of the aerospace electric appliances.Therefore,to solve the problems of the delay in robust design,large amount of computation and low computational efficiency in the aerospace relays and the electromagnetic valve electromagnetic devices,this paper conducted the design and distribution parameter modeling research on the solenoid electromagnetic device with fan-shaped permanent magnet.First,the solenoid valve electromagnetic device design method based on working air-gap analysis is proposed.The electromagnetic devices were classified by analyzing the structural characteristics of the typical traditional electromagnetic devices and electromagnetic devices with permanent magnet;the law of the attraction force characteristic curve is analyzed based on the equivalent magnetic circuits aigap reluctance characteristic of all kinds of electromagnetic devices.Then an attraction force characteristics calculation model is built based on the working airgap analysis of the electromagnetic device to study the relationship between the attraction force and the ampere-turns of the coil of the armature at the release position in the electromagnetic device.The design method of the electromagnetic device is applied based on the working air-gap analysis into the structural design of the dual working air-gaps and four working air-gaps electromagnetic devices,and to the structural design of the electromagnetic valve electromagnetic device of a certain type according to the technical indexes required by the users.The design scheme is verified through finite element simulation and actual measurement of the prototype.Second,the distribution parameter model of electromagnetic device with fanshaped permanent magnet is proposed.The distribution characteristics of the magnetic field lines of a fan-shaped permanent magnet is analyzed based on the results of the finite element simulation to determine the segmentation basis of the front and top views of the permanent magnet.A distribution parameter model of an open permanent magnet is built based on the distribution of the magnetic field lines according to the distribution characteristics of the magnetic field lines.The open fanshaped permanent magnet distribution parameter modeling method is applied into the electromagnetic device to build a distribution parameter model of the solenoid electromagnetic device with fan-shaped permanent magnet and give a method to calculate the magnetic induction intensity of each section of the permanent magnet.Through the calculation example,the magnetic induction intensity of each section in the electromagnetic device and the attraction force generated by the electromagnetic device were calculated by using the distribution parameter model,so as to verify the correctness and accuracy of the distribution parameter model of the solenoid electromagnetic device with fan-shaped permanent magnet.Third,the calculation accuracy of the distribution parameter model of electromagnetic device improvement method based on Kriging basis function prediction is proposed.The error correction method for the distribution parameter model of the electromagnetic device is proposed based on the prejudgment of the primary function of the Kriging interpolation method.Based on the Kriging interpolation method,the basis function is adjusted to adapt the variation of the leakage permeance error in the electromagnetic device.The calculation data of the basis function leakage permeance is compared with the variation data of the error to select the appropriate basis function.After getting the primary function of the Kriging interpolation,the functional relationship among the error item,armature stroke and the error correction is determined through the Kriging interpolation method to obtain the method to compensate the error items of the leakage permeance.The appropriate Kriging basis function is selected by using the PIP(Predictive Identification Program)method to prejudge the error data of the leakage permeance to further improve the computational efficiency.The error-corrected leakage permeance and the soft magnetic reluctance data were substituted into the distribution parameter model of the electromagnetic device to calculate the attraction force value and verify the enhancing effect of the computational accuracy.At last,based on the distributed parameter model,the electromagnetic device with fan-shaped permanent magnet is robust designed.A multi-objective parameter optimization design of the solenoid electromagnetic device with fan-shaped permanent magnet is conducted according to the distribution parameter model of the electromagnetic device and by adopting the niche multi-objective particle swarm algorithm and the genetic algorithm.The robust parameter design and the tolerance design of the solenoid electromagnetic device were conducted and the signal-to-noise ratio(SNR),sensitivity and contribution rate were compared to determine the optimal combination value and the tolerance values of the key design parameters.After the virtual samples before and after the robust parameter design and the tolerance design were randomly generated,the latching and output forces were computed and compared.The results show that after designing the robust parameter and the tolerance,the stability of the latching and output forces of the solenoid electromagnetic device is significantly promoted,thus effectively improving the product design efficiency.This research is of both theoretical significance and practical value to the design,analysis and optimization of the solenoid electromagnetic device with fan-shaped permanent magnet.The idea of building a distribution parameter model can also be applied to the modeling process of other electromagnetic relays and electromagnetic valve electromagnetic devices.