基于代理模型的电机多学科优化关键技术综述

doi:10.19595/j.cnki.1000-6753.tces.211394

Abstract
Figure/Table
References (193)
Related Citation (12)

Download: PDF (1717 KB) HTML (1 KB)
Export: BibTeX | EndNote (RIS)

Abstract

As the continuous expansion of electrical machine application fields, the multi- disciplinary optimization technology becomes an important research direction in machine optimization field. This paper reviews the development of machine multidisciplinary models, and analyzes the advantages of surrogate models in machine multidisciplinary optimization. Then, the construction process of machine surrogate models is elaborated, and the selection principles of different surrogate models in machine multidisciplinary optimization are purposed. After that, the latest research progress of coupling strategies, coupling forms and coupling parameters among different machine disciplines are summarized, and the application scope and the improvement trends of different coupling strategies in machine multidisciplinary optimization are analyzed. And then, the applicability of several optimization algorithms in machine multidisciplinary optimization is compared and analyzed. Finally, the problems faced by machine multidisciplinary optimization technology are discussed, and the future development trends are prospected.

Key words： Electrical machine surrogate models electrical machine multidisciplinary optimization technology electrical machine multi-physics coupling optimization technology electrical machine optimization algorithms

Received: 03 September 2021

PACS:	TM302
	TP301.6
	TP181

	Service

	E-mail this article
	Add to my bookshelf
	Add to citation manager
	E-mail Alert
	RSS
	Articles by authors
	Xie Bingchuan
	Zhang Yue
	Xu Zhenyao
	Zhang Fengge
	Liu Wenhui

Cite this article:

Xie Bingchuan,Zhang Yue,Xu Zhenyao等. Review on Multidisciplinary Optimization Key Technology of Electrical Machine Based on Surrogate Models[J]. Transactions of China Electrotechnical Society, 2022, 37(20): 5117-5143.

URL:

https://dgjsxb.ces-transaction.com/EN/10.19595/j.cnki.1000-6753.tces.211394 OR https://dgjsxb.ces-transaction.com/EN/Y2022/V37/I20/5117

[1] 马伟明, 王东, 程思为, 等. 高性能电机系统的共性基础科学问题与技术发展前沿[J]. 中国电机工程学报, 2016, 36(8): 2025-2035.
Ma Weiming, Wang Dong, Cheng Siwei, et al.Common basic scientific problems and development of leading-edge technology of high performance motor system[J]. Proceedings of the CSEE, 2016, 36(8): 2025-2035.
[2] 高起兴, 王晓琳, 顾聪, 等. 基于多耦合特性的整体支撑式超高速微型永磁电机设计[J]. 电工技术学报, 2021, 36(14): 2989-2999.
Gao Qixing, Wang Xiaolin, Gu Cong, et al.Design of ultra high speed micro permanent magnet motor with integrated support type based on multi coupling characteristics[J]. Transactions of China Electro-technical Society, 2021, 36(14): 2989-2999.
[3] 罗玉涛, 卢若皓. 基于结构参数分级优化的电机电磁噪声抑制[J]. 电工技术学报, 2021, 36(14): 2957-2970.
Luo Yutao, Lu Ruohao.Hierarchical optimization of structural parameters for motor electromagnetic noise suppression[J]. Transactions of China Electrotech-nical Society, 2021, 36(14): 2957-2970.
[4] 邢军强, 汪明武, 孔莹莹. 基于流固耦合的永磁直驱风力发电机传热分析[J]. 电气技术, 2021, 22(1): 47-52.
Xing Junqiang, Wang Mingwu, Kong Yingying.Heat transfer analysis of permanent magnet direct drive wind generator based on fluid-solid coupling[J]. Electrical Engineering, 2021, 22(1): 47-52.
[5] Zhang Zhu, Liu Yunfan, Wang Jingyuan.Optimal design of multi-channel water cooled radiator for motor controller of new energy vehicle[J]. CES Transactions on Electrical Machines and Systems, 2022, 6(1): 87-94.
[6] 洪剑锋, 王善铭, 孙宇光, 等. 高模数电磁力对永磁电机电磁振动影响[J]. 电工技术学报, 2022, 37(10): 2446-2458.
Hong Jianfeng, Wang Shanming, Sun Yuguang, et al.The influence of high-order force on electromagnetic vibration of permanent magnet synchronous motors[J]. Transactions of China Electrotechnical Society, 2022, 37(10): 2446-2458.
[7] 易永胜. 基于协同近似和集合策略的多学科设计优化方法研究[D]. 武汉: 华中科技大学, 2019.
[8] 柳明星, 张恒, 张伟. 火星全球遥感探测器多学科建模与协同优化[J]. 航天返回与遥感, 2017, 38(5): 57-67.
Liu Mingxing, Zhang Heng, Zhang Wei.Multidis-ciplinary modeling and collaborative optimization of Mars global remote sensing probe[J]. Spacecraft Recovery & Remote Sensing, 2017, 38(5): 57-67.
[9] 王健. MDO方法在水面舰船总体概念设计中的应用研究[D]. 北京: 中国舰船研究院, 2017.
[10] 王东辉. 导弹多学科集成方案设计系统及其关键技术研究[D]. 长沙: 国防科学技术大学, 2014.
[11] 罗文豪. 基于多学科协同优化理论的电力系统动态经济调度问题研究[D]. 广州: 华南理工大学, 2017.
[12] Lindh P, Tehrani M G, Lindh T, et al.Multidis-ciplinary design of a permanent-magnet traction motor for a hybrid bus taking the load cycle into account[J]. IEEE Transactions on Industrial Elec-tronics, 2016, 63(6): 3397-3408.
[13] Uzhegov N, Kurvinen E, Nerg J, et al.Multidis-ciplinary design process of a 6-slot 2-pole high-speed permanent-magnet synchronous machine[J]. IEEE Transactions on Industrial Electronics, 2016, 63(2): 784-795.
[14] Ismagilov F R, Uzhegov N, Vavilov V E, et al.Multidisciplinary design of ultra-high-speed electrical machines[J]. IEEE Transactions on Energy Con-version, 2018, 33(3): 1203-1212.
[15] Kim H, Nerse C, Lee J, et al.Multidisciplinary analysis and multiobjective design optimization of a switched reluctance motor for improving sound quality[J]. IEEE Access, 7: 66020-66027.
[16] Zhang Fengge, Dai Rui, Liu Guangwei, et al.Design of HSIPMM based on multi-physics fields[J]. IET Electric Power Applications, 2018, 12(8): 1098-1103.
[17] Dong Baotian, Wang Kun, Han Bangcheng, et al.Thermal analysis and experimental validation of a 30kW 60000r/Min high-speed permanent magnet motor with magnetic bearings[J]. IEEE Access, 7: 92184-92192.
[18] Yamazaki K, Togashi Y.Shape optimization pro-cedure of interior permanent magnet motors con-sidering carrier harmonic losses caused by inverters[J]. IEEE Transactions on Magnetics, 2018, 54(3): 1-4.
[19] Zarko D, Stipetic S, Martinovic M, et al.Reduction of computational efforts in finite element-based per-manent magnet traction motor optimization[J]. IEEE Transactions on Industrial Electronics, 2018, 65(2): 1799-1807.
[20] Prieto B, Satrústegui M, Elósegui I, et al.Multi-disciplinary analysis of a 750kW PMSM for marine propulsion including shock loading response[J]. IET Electric Power Applications, 2020, 14(10): 1974-1983.
[21] Zhang Yue, Wang Huijun, Gerada C.Rotor eddy current loss and multiphysics fields analysis for a high-speed permanent magnet machine[J]. IEEE Transactions on Industrial Electronics, 2021, 68(6): 5100-5111.
[22] Du Guanghui, Xu Wei, Zhu Jianguo, et al.Rotor stress analysis for high-speed permanent magnet machines considering assembly gap and temperature gradient[J]. IEEE Transactions on Energy Conversion, 2019, 34(4): 2276-2285.
[23] Yang Jiangtao, Liu Ping, Ye Caiyong, et al.Multidisciplinary design of high-speed solid rotor homopolar inductor machine for flywheel energy storage system[J]. IEEE Transactions on Trans-portation Electrification, 2021, 7(2): 485-496.
[24] López-Torres C, Garcia A, Riba J R, et al.Computationally efficient design and optimization approach of PMa-SynRM in frequent operating torque-speed range[J]. IEEE Transactions on Energy Conversion, 2018, 33(4): 1776-1786.
[25] López-Torres C, Garcia Espinosa A, Riba J R, et al.Design and optimization for vehicle driving cycle of rare-earth-free SynRM based on coupled lumped thermal and magnetic networks[J]. IEEE Transactions on Vehicular Technology, 2018, 67(1): 196-205.
[26] 沈月芬, 刘旭. 考虑互感的多齿开关磁链永磁记忆电机的精确磁路模型[J]. 电工技术学报, 2022, 37(10): 2435-2445.
Shen Yuefen, Liu Xu.Accurate magnetic circuit model of multi-tooth switched flux permanent magnet memory machine considering the mutual indu-ctance[J]. Transactions of China Electrotechnical Society, 2022, 37(10): 2435-2445.
[27] Wu Shuai, Zhao Xiangyu, Li Xiao, et al.Preliminary design and optimization of toroidally wound limited angle servo motor based on a generalized magnetic circuit model[J]. IEEE Transactions on Magnetics, 2016, 52(9): 1-9.
[28] Zhu Z Q, Howe D.Instantaneous magnetic field distribution in permanent magnet brushless DC motors. Ⅳ. magnetic field on load[J]. IEEE Transa-ctions on Magnetics, 1993, 29(1): 152-158.
[29] Zhu Z Q, Howe D.Instantaneous magnetic field distribution in brushless permanent magnet DC motors. Ⅲ. effect of stator slotting[J]. IEEE Transa-ctions on Magnetics, 1993, 29(1): 143-151.
[30] Zhu Z Q, Howe D.Instantaneous magnetic field distribution in brushless permanent magnet DC motors. Ⅱ. armature-reaction field[J]. IEEE Transa-ctions on Magnetics, 1993, 29(1): 136-142.
[31] Zhu Z Q, Howe D, Bolte E, et al.Instantaneous magnetic field distribution in brushless permanent magnet DC motors. Ⅰ. open-circuit field[J]. IEEE Transactions on Magnetics, 1993, 29(1): 124-135.
[32] 高锋阳, 齐晓东, 李晓峰, 等. 部分分段Halbach永磁同步电机优化设计[J]. 电工技术学报, 2021, 36(4): 787-800.
Gao Fengyang, Qi Xiaodong, Li Xiaofeng, et al.Optimization design of partially-segmented Halbach permanent magnet synchronous motor[J]. Transa-ctions of China Electrotechnical Society, 2021, 36(4): 787-800.
[33] 张守首, 郭思源. 基于子域分析模型的实心转子感应电机磁场解析[J]. 电工技术学报, 2021, 36(20): 4285-4296.
Zhang Shoushou, Guo Siyuan.Analytical solution of magnetic field in solid rotor induction machine based on subdomain model[J]. Transactions of China Electrotechnical Society, 2021, 36(20): 4285-4296.
[34] 陈亮亮, 祝长生, 王萌. 碳纤维护套高速永磁电机热态转子强度[J]. 浙江大学学报(工学版), 2015, 49(1): 162-172.
Chen Liangliang, Zhu Changsheng, Wang Meng.Strength analysis for thermal carbon-fiber retaining rotor in high-speed permanent magnet machine[J]. Journal of Zhejiang University (Engineering Science), 2015, 49(1): 162-172.
[35] 陈亮亮. 磁悬浮高速飞轮储能系统永磁电机转子强度分析及转子振动控制[D]. 杭州: 浙江大学, 2017.
[36] Rafiee V, Faiz J.Robust design of an outer rotor permanent magnet motor through six-sigma metho-dology using response surface surrogate model[J]. IEEE Transactions on Magnetics, 2019, 55(10): 1-10.
[37] 赵玫, 于帅, 邹海林, 等. 聚磁式横向磁通永磁直线电机的多目标优化[J]. 电工技术学报, 2021, 36(17): 3730-3740.
Zhao Mei, Yu Shuai, Zou Hailin, et al.Multi-objective optimization of transverse flux permanent magnet linear machine with the concentrated flux mover[J]. Transactions of China Electrotechnical Society, 2021, 36(17): 3730-3740.
[38] 李祥林, 李金阳, 杨光勇, 等. 电励磁双定子场调制电机的多目标优化设计分析[J]. 电工技术学报, 2020, 35(5): 972-982.
Li Xianglin, Li Jinyang, Yang Guangyong, et al.Multi-objective optimization analysis of electric-excitation double-stator field-modulated machine[J]. Transactions of China Electrotechnical Society, 2020, 35(5): 972-982.
[39] Weidenholzer G, Silber S, Jungmayr G, et al.A flux-based PMSM motor model using RBF interpolation for time-stepping simulations[C]//IEEE International Electric Machines & Drives Conference, Chicago, IL, USA, 2013: 1418-1423.
[40] Parnianifard A, Azfanizam A S, Ariffin M K A, et al. Kriging-assisted robust black-box simulation optimi-zation in direct speed control of DC motor under uncertainty[J]. IEEE Transactions on Magnetics, 2018, 54(7): 1-10.
[41] Ahmed S, Grabher C, Kim H J, et al.Multifidelity surrogate assisted rapid design of transverse-flux permanent magnet linear synchronous motor[J]. IEEE Transactions on Industrial Electronics, 2020, 67(9): 7280-7289.
[42] Andrea S, Marco R, Terry A, et al.Elementary effects method in global sensitivity analysis the primer[M]. New Jersey: John Wiley & Sons Ltd, 2007.
[43] Andrea S, Marco R, Terry A, et al.Variance-based methods in global sensitivity analysis the primer[M]. New Jersey: John Wiley & Sons Ltd, 2007.
[44] Cacuci D G, Ionescu-Bujor M.A comparative review of sensitivity and uncertainty analysis of large-scale systems-Ⅱ: statistical methods[J]. Nuclear Science and Engineering, 2004, 147(3): 204-217.
[45] 何小龙, 白俊强, 李宇飞. 基于全局灵敏度分析的改进微分进化算法[J]. 西北工业大学学报, 2016, 34(3): 411-417.
He Xiaolong, Bai Junqiang, Li Yufei.A global sensitivity analysis enhanced differential evolution algorithm[J]. Journal of Northwestern Polytechnical University, 2016, 34(3): 411-417.
[46] Sobol I.Sensitivity analysis for non linear mathe-matical model[J]. Mathematical Modelling and Com-putational Experiment, 1993, 1(1): 407-414.
[47] Lei Gang, Liu Chengcheng, Zhu Jianguo, et al.Techniques for multilevel design optimization of permanent magnet motors[J]. IEEE Transactions on Energy Conversion, 2015, 30(4): 1574-1584.
[48] Kim D Y, Nam J K, Jang G H.Reduction of magnetically induced vibration of a spoke-type IPM motor using magnetomechanical coupled analysis and optimization[J]. IEEE Transactions on Magnetics, 2013, 49(9): 5097-5105.
[49] Park Y U, Cho J H, Kim D K.Cogging torque reduction of single-phase brushless DC motor with a tapered air-gap using optimizing Notch size and position[J]. IEEE Transactions on Industry Appli-cations, 2015, 51(6): 4455-4463.
[50] 张建桃, 张铁民, 梁莉. 超声电机非线性建模和广义预测控制[J]. 电机与控制学报, 2011, 15(6): 50-56.
Zhang Jiantao, Zhang Tiemin, Liang Li.Nonlinear modeling and generalized predictive control of ultrasonic motor[J]. Electric Machines and Control, 2011, 15(6): 50-56.
[51] Duan Haibin, Gan Lu.Orthogonal multiobjective chemical reaction optimization approach for the brushless DC motor design[J]. IEEE Transactions on Magnetics, 2015, 51(1): 1-7.
[52] Semon A, Melcescu L, Craiu O, et al.Design optimization of the rotor of a V-type interior permanent magnet synchronous motor using response surface methodology[C]//IEEE 11th International Symposium on Advanced Topics in Electrical Engineering (ATEE), Bucharest, Romania, 2019: 1-4.
[53] He Jingxiong, Li Guoli, Zhou Rui, et al.Optimization of permanent-magnet spherical motor based on Taguchi method[J]. IEEE Transactions on Magnetics, 2020, 56(2): 1-7.
[54] 季宁, 张卫星, 于洋洋, 等. 基于最优拉丁超立方抽样方法和NSGA-Ⅱ算法的注射成型多目标优化[J]. 工程塑料应用, 2020, 48(3): 72-77.
Ji Ning, Zhang Weixing, Yu Yangyang, et al.Multi-objective optimization of injection molding based on optimal Latin hypercube sampling method and NSGA-Ⅱ algorithm[J]. Engineering Plastics Appli-cation, 2020, 48(3): 72-77.
[55] Kim J B, Hwang K Y, Kwon B I.Optimization of two-phase in-wheel IPMSM for wide speed range by using the Kriging model based on Latin hypercube sampling[J]. IEEE Transactions on Magnetics, 2011, 47(5): 1078-1081.
[56] Kim Y B, Choi H S, Koh C S, et al.A back EMF optimization of double layered large-scale BLDC motor by using hybrid optimization method[J]. IEEE Transactions on Magnetics, 2011, 47(5): 998-1001.
[57] Hong D K, Lee J Y, Woo B C, et al.Investigating a direct-drive PM type synchronous machine for turret application using optimization[J]. IEEE Transactions on Magnetics, 2012, 48(11): 4491-4494.
[58] 张应山. 正交表的数据分析及其构造[D]. 上海: 华东师范大学, 2006.
[59] Cho S K, Jung K H, Choi J Y.Design optimization of interior permanent magnet synchronous motor for electric compressors of air-conditioning systems mounted on EVs and HEVs[J]. IEEE Transactions on Magnetics, 2018, 54(11): 1-5.
[60] Hwang C C, Chang C M, Liu C T.A fuzzy-based taguchi method for multiobjective design of PM motors[J]. IEEE Transactions on Magnetics, 2013, 49(5): 2153-2156.
[61] Lee Sujin, Kim K, Cho S, et al.Optimal design of interior permanent magnet synchronous motor considering the manufacturing tolerances using Taguchi robust design[J]. IET Electric Power Applications, 2014, 8(1): 23-28.
[62] Si Jikai, Zhao Suzhen, Feng Haichao, et al.Multi-objective optimization of surface-mounted and interior permanent magnet synchronous motor based on Taguchi method and response surface method[J]. Chinese Journal of Electrical Engineering, 2018, 4(1): 67-73.
[63] Support.Minitab.com. 什么是响应曲面设计、中心复合设计和Box-Behnken设计[EB/OL]. (2022-6-28). https://support.minitab.com/zh-cn/minitab/21/help-and-how-to/modeling-statistics/doe/supporting-topics/ response-surface-designs/response-surface-central-composite-and-box-behnken-designs/.
[64] 徐琎. 复杂结构拉丁超立方体设计理论与应用[D]. 长沙: 国防科技大学, 2019.
[65] Zhu Xiaoyong, Wu Weiqiang, Quan Li, et al.Design and multi-objective stratified optimization of a less-rare-earth hybrid permanent magnets motor with high torque density and low cost[J]. IEEE Transa-ctions on Energy Conversion, 2019, 34(3): 1178-1189.
[66] Rafiee V, Faiz J.Uncertainty quantification of permanent magnet motor using response surface surrogate modeling[C]//IEEE 11th Power Electronics, Drive Systems, and Technologies Conference (PEDSTC), Tehran, Iran, 2020: 1-5.
[67] Lee J K, Jung D H, Lim J, et al.A study on the synchronous reluctance motor design for high torque by using RSM[J]. IEEE Transactions on Magnetics, 2018, 54(3): 1-5.
[68] Jeong I, Nam K.Analytic expressions of torque and inductances via polynomial approximations of flux linkages[J]. IEEE Transactions on Magnetics, 2015, 51(7): 1-9.
[69] Tinazzi F, Zigliotto M.Torque estimation in high-efficency IPM synchronous motor drives[J]. IEEE Transactions on Energy Conversion, 2015, 30(3): 983-990.
[70] Kuehl S, Landsmann P, Kennel R M.Bivariate polynomial approximation of cross-saturated flux curves in synchronous machine models[C]//IEEE International Energy Conference and Exhibition, Florence, Italy, 2012: 219-224.
[71] Huang Shoudao, Chen Ziqiang, Huang Keyuan, et al.Maximum torque per ampere and flux-weakening control for PMSM based on curve fitting[C]//IEEE Vehicle Power and Propulsion Conference, Lille, 2010: 1-5.
[72] Baek S W, Kim B T, Kwon B I.Practical optimum design based on magnetic balance and copper loss minimization for a single-phase line start PM motor[J]. IEEE Transactions on Magnetics, 2011, 47(10): 3008-3011.
[73] Bhosekar A, Ierapetritou M.Advances in surrogate based modeling, feasibility analysis, and optimization: a review[J]. Computers & Chemical Engineering, 2018, 108: 250-267.
[74] Zhou Suying.Modeling of switched reluctance motor based on combined clustering RBF network[C]//IEEE 20th International Conference on Electrical Machines and Systems (ICEMS), Sydney, NSW, Australia, 2017: 1-5.
[75] Ge Yang, Yang Lihui, Ma Xikui.A novel terminal sliding mode control based on RBF neural network for the permanent magnet synchronous motor[C]// IEEE International Symposium on Power Electronics, Electrical Drives, Automation and Motion (SPEEDAM), Amalfi, Italy, 2018: 1227-1232.
[76] Zhang Xulong, Wang Feng, Shao Xiaogen.Flux linkage characteristics on-line modeling of switched reluctance motor based on boundary constraints RBF[C]//IEEE Proceeding of the 11th World Con-gress on Intelligent Control and Automation, Shenyang, 2015: 5942-5946.
[77] ArcGIS. 克里金法的工作原理[EB/OL]. (2016-4-22). https://desktop.arcgis.com/zh-cn/arcmap/10.3/tools/3d-analyst-toolbox/how-kriging-works.htm.
[78] Joseph V R, Hung Y, Sudjianto A.Blind Kriging: a new method for developing metamodels[J]. Journal of Mechanical Design, 2008, 130(3): 350-353.
[79] Lim D K, Yi K P, Jung S Y, et al.Optimal design of an interior permanent magnet synchronous motor by using a new surrogate-assisted multi-objective opti-mization[J]. IEEE Transactions on Magnetics, 2015, 51(11): 1-4.
[80] Jang J, Lee Jin min, Cho S G, et al. Space-time Kriging surrogate model to consider uncertainty of time interval of torque curve for electric power steering motor[J]. IEEE Transactions on Magnetics, 2018, 54(3): 1-4.
[81] Bu Jianguo, Zhou Ming, Lan Xudong, et al.Opti-mization for airgap flux density waveform of flywheel motor using NSGA-2 and Kriging model based on MaxPro design[J]. IEEE Transactions on Magnetics, 2017, 53(8): 1-7.
[82] 李雄松, 崔鹤松, 胡纯福, 等. 平板型永磁直线同步电机推力特性的优化设计[J]. 电工技术学报, 2021, 36(5): 916-923.
Li Xiongsong, Cui Hesong, Hu Chunfu, et al.Optimal design of thrust characteristics of flat-type permanent magnet linear synchronous motor[J]. Transactions of China Electrotechnical Society, 2021, 36(5): 916-923.
[83] Forrester A I J, Keane A J. Recent advances in surrogate-based optimization[J]. Progress in Aerospace Sciences, 2009, 45(1/2/3): 50-79.
[84] Song Xuewei, Zhao Jiwen, Song Juncai, et al.Local demagnetization fault recognition of permanent mag-net synchronous linear motor based on S-transform and PSO-LSSVM[J]. IEEE Transactions on Power Electronics, 2020, 35(8): 7816-7825.
[85] Liang Xiaodong, Ali M Z, Zhang Huaguang.Indu-ction motors fault diagnosis using finite element method: a review[J]. IEEE Transactions on Industry Applications, 2020, 56(2): 1205-1217.
[86] Song Juncai, Dong Fei, Zhao Jiwen, et al.An efficient multiobjective design optimization method for a PMSLM based on an extreme learning machine[J]. IEEE Transactions on Industrial Electronics, 2019, 66(2): 1001-1011.
[87] 张圳, 王丽梅. 永磁同步直线电机自组织概率型模糊神经网络控制[J]. 电气技术, 2020, 21(12): 1-5, 16.
Zhang Zhen, Wang Limei.Permanent magnet linear synchronous motor self-organizing probabilistic fuzzy neural network control[J]. Electrical Engineering, 2020, 21(12): 1-5, 16.
[88] Sadrossadat S A, Rahmani O.ANN-based method for parametric modelling and optimising efficiency, output power and material cost of BLDC motor[J]. IET Electric Power Applications, 2020, 14(6): 951-960.
[89] Doi S, Sasaki H, Igarashi H.Multi-objective topology optimization of rotating machines using deep learning[J]. IEEE Transactions on Magnetics, 2019, 55(6): 1-5.
[90] Barmada S, Fontana N, Sani Luca, et al.Deep learning and reduced models for fast optimization in electromagnetics[J]. IEEE Transactions on Magnetics, 2020, 56(3): 1-4.
[91] Asanuma J, Doi S, Igarashi H. Transfer learning through deep learning: application to topology optimization of electric motor[J]. IEEE Transactions on Magnetics, 2020, 56(3): 1-4.
[92] 王秉中. 计算电磁学[M]. 北京: 科学出版社, 2005.
[93] Wang Weitao, Zhao Jiwen, Song Juncai, et al.Thrust performance improvement for PMSLM through double-layer reverse skewed coil and WRF-MKH method[J]. IEEE/ASME Transactions on Mechatronics, 2020, 25(6): 2950-2960.
[94] Müller J, Piché R.Mixture surrogate models based on Dempster-Shafer theory for global optimization problems[J]. Journal of Global Optimization, 2011, 51(1): 79-104.
[95] Goel T, Haftka R T, Shyy W, et al.Ensemble of surrogates[J]. Structural and Multidisciplinary Opti-mization, 2007, 33(3): 199-216.
[96] 杜斌. 基于组合代理模型的轮毂电机优化设计[D]. 长沙: 湖南大学, 2017.
[97] Song Xueguan, Lü Liye, Li Jieling, et al.An advanced and robust ensemble surrogate model: extended adaptive hybrid functions[J]. Journal of Mechanical Design, 2018, 140(4): 041402.
[98] 韩忠华. Kriging模型及代理优化算法研究进展[J]. 航空学报, 2016, 37(11): 3197-3225.
Han Zhonghua.Kriging surrogate model and its application to design optimization: a review of recent progress[J]. Acta Aeronautica et Astronautica Sinica, 2016, 37(11): 3197-3225.
[99] 周奇, 杨扬, 宋学官, 等. 变可信度近似模型及其在复杂装备优化设计中的应用研究进展[J]. 机械工程学报, 2020, 56(24): 219-245.
Zhou Qi, Yang Yang, Song Xueguan, et al.Survey of multi-fidelity surrogate models and their applications in the design and optimization of engineering equipment[J]. Journal of Mechanical Engineering, 2020, 56(24): 219-245.
[100] Peherstorfer B, Willcox K, Gunzburger M.Survey of multifidelity methods in uncertainty propagation, inference, and optimization[J]. SIAM Review, 2018, 60(3): 550-591.
[101] 钟锡健, 张更新, 谢智东. 基于移动最小二乘法的天线增益模型构建[J]. 通信技术, 2016, 49(5): 549-553.
Zhong Xijian, Zhang Gengxin, Xie Zhidong.Con-struction of antenna gain model based on movable least square[J]. Communications Technology, 2016, 49(5): 549-553.
[102] 张艺潇, 赵忠国, 郑江华. 利用MARS估算伊犁地区参考作物蒸散量[J]. 武汉大学学报(信息科学版), 2020: 1-13.
Zhang Yixiao, Zhao Zhongguo, Zheng Jianghua.Using multivariate adaptive regression splines for estimation of reference crop evapotranspiration in Yili region[J]. Geomatics and Information Science of Wuhan University, 2020: 1-13.
[103] 曹仙斌. 符号数据回归方法研究[D]. 合肥: 中国科学技术大学, 2018.
[104] Fatemi A, Ionel D M, Demerdash N A O, et al. Optimal design of IPM motors with different cooling systems and winding configurations[J]. IEEE Transa-ctions on Industry Applications, 2016, 52(4): 3041-3049.
[105] Pourmoosa A A, Mirsalim M.Design optimization, prototyping, and performance evaluation of a low-speed linear induction motor with toroidal winding[J]. IEEE Transactions on Energy Conversion, 2015, 30(4): 1546-1555.
[106] 李成功, 杨建玺, 王团锋, 等. 基于程序集成及响应面模型的电机冷却性能优化[J]. 电机与控制应用, 2019, 46(10): 19-24.
Li Chenggong, Yang Jianxi, Wang Tuanfeng, et al.Optimization of motor cooling performance based on program integration and response surface model[J]. Electric Machines & Control Application, 2019, 46(10): 19-24.
[107] Gu Aiyu, Ruan Bo, Cao Wenyao, et al.A general SVM-based multi-objective optimization methodology for axial flux motor design: YASA motor of an electric vehicle as a case study[J]. IEEE Access, 7: 180251-180257.
[108] Son B, Kim J S, Kim J W, et al.Adaptive particle swarm optimization based on kernel support vector machine for optimal design of synchronous reluctance motor[J]. IEEE Transactions on Magnetics, 2019, 55(6): 1-5.
[109] 鞠鲁峰. 基于支持向量机建模的永磁球形电机的优化设计研究[D]. 合肥: 合肥工业大学, 2015.
[110] Zhao Jiwen, Huang Jian, Wang Yahua, et al.Design optimization of permanent magnet synchronous linear motor by multi-SVM[C]//IEEE 17th International Conference on Electrical Machines and Systems (ICEMS), Hangzhou, China, 2014: 1279-1282.
[111] Ibrahim I, Silva R, Mohammadi M H, et al.Surrogate-based acoustic noise prediction of electric motors[J]. IEEE Transactions on Magnetics, 2020, 56(2): 1-4.
[112] Zhao Jingying, Guo Hai, Wang Likun, et al.Computer modeling of the eddy current losses of metal fasteners in rotor slots of a large nuclear steam turbine generator based on finite-element method and deep Gaussian process regression[J]. IEEE Transactions on Industrial Electronics, 2020, 67(7): 5349-5359.
[113] Jin Liang, Wang Fei, Yang Qingxin.Performance analysis and optimization of permanent magnet synchronous motor based on deep learning[C]//IEEE 20th International Conference on Electrical Machines and Systems (ICEMS), Sydney, NSW, Australia, 2017: 1-5.
[114] Gong Jinlin, Zhang Hongru, Zhao Benteng, et al.Proposal of a Bi-objective Kriging adapted output space mapping technique for electromagnetic design optimization[J]. IEEE Transactions on Magnetics, 2019, 55(6): 1-5.
[115] Chai Wenping, Kwon B I.A magnetic pole modu-lation method on surface permanent magnet machines for high performances with different magnetization[J]. IEEE Access, 7: 79839-79849.
[116] Zhao Wenliang, Kwon J W, Wang Xiuhe, et al.Optimal design of a spoke-type permanent magnet motor with phase-group concentrated-coil windings to minimize torque pulsations[J]. IEEE Transactions on Magnetics, 2017, 53(6): 1-4.
[117] 张邦富, 程明, 王飒飒, 等. 基于改进型代理模型优化算法的磁通切换永磁直线电机优化设计[J]. 电工技术学报, 2020, 35(5): 1013-1021.
Zhang Bangfu, Cheng Ming, Wang Sasa, et al.Optimal design of flux-switching permanent magnet linear machine based on improved surrogate-based optimization algorithm[J]. Transactions of China Electrotechnical Society, 2020, 35(5): 1013-1021.
[118] 过希文, 宫能伟, 王群京, 等. 基于随机森林的永磁球形电机优化通电策略[J]. 控制工程, 2021, 28(6): 1100-1107.
Guo Xiwen, Gong Nengwei, Wang Qunjing, et al.Optimization electrifying strategy of permanent magnet spherical motor based on random forests[J]. Control Engineering of China, 2021, 28(6): 1100-1107.
[119] Ahmed S, Koseki T, Norizuki K, et al.Rapid Co-Kriging based multi-fidelity surrogate assisted performance optimization of a transverse flux PMLSM[C]//IEEE 12th International Symposium on Linear Drives for Industry Applications (LDIA), Neuchatel, Switzerland, 2019: 1-6.
[120] Bramerdorfer G, Winkler S M, Kommenda M, et al.Using FE calculations and data-based system identification techniques to model the nonlinear behavior of PMSMs[J]. IEEE Transactions on Industrial Electronics, 2014, 61(11): 6454-6462.
[121] (英)亚历山大·I. J. 福瑞斯特, 安德瑞斯·索比斯特, 安迪·J. 肯尼. 基于代理模型的工程设计实用指南[M]. 韩忠华, 张科施, 译. 北京: 航空工业出版社, 2018.
[122] Crombecq K, Laermans E, Dhaene T.Efficient space-filling and non-collapsing sequential design strategies for simulation-based modeling[J]. European Journal of Operational Research, 2011, 214(3): 683-696.
[123] 孙嘉男. 永磁同步伺服电机序贯多目标完全析因优化方法研究[D]. 哈尔滨: 哈尔滨工业大学, 2020.
[124] Jin R C, Chen W, Sudjianto A.On sequential sampling for global metamodeling in engineering design[C]//International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Montreal, Quebec, Canada, 2008: 539-548.
[125] Farhang-Mehr A, Azarm S.Bayesian meta-modelling of engineering design simulations: a sequential approach with adaptation to irregularities in the response behaviour[J]. International Journal for Numerical Methods in Engineering, 2005, 62(15): 2104-2126.
[126] Crombecq K, de Tommasi L, Gorissen D, et al. A novel sequential design strategy for global surrogate modeling[C]//IEEE Proceedings of the Winter Simu-lation Conference (WSC), Austin, TX, USA, 2009: 731-742.
[127] Ajdari A, Mahlooji H.An adaptive exploration-exploitation algorithm for constructing metamodels in random simulation using a novel sequential experimental design[J]. Communications in Statistics-Simulation and Computation, 2014, 43(5): 947-968.
[128] Cozad A, Sahinidis N V, Miller D C.Learning surrogate models for simulation-based optimization[J]. AIChE Journal, 2014, 60(6): 2211-2227.
[129] 张建侠, 马义中, 欧阳林寒, 等. 基于Kriging模型的多点加点准则和并行代理优化算法[J]. 系统工程理论与实践, 2020, 40(1): 251-261.
Zhang Jianxia, Ma Yizhong, Ouyang Linhan, et al.A multi-points infill sampling criterion and parallel surrogate-based optimization algorithm based on Kriging model[J]. Systems Engineering-Theory & Practice, 2020, 40(1): 251-261.
[130] Garud S S, Karimi I A, Kraft M.Design of computer experiments: a review[J]. Computers & Chemical Engineering, 2017, 106: 71-95.
[131] Song Tengfei, Liu Huijuan, Zhang Qian, et al.Multi-physics and multi-objective optimisation design of interior permanent magnet synchronous motor for electric vehicles[J]. IET Electric Power Applications, 2020, 14(11): 2243-2254.
[132] de Paula Machado Bazzo T, Kölzer J F, Carlson R, et al. Multiphysics design optimization of a permanent magnet synchronous generator[J]. IEEE Transactions on Industrial Electronics, 2017, 64(12): 9815-9823.
[133] Kreuawan S, Gillon F, Brochet P.Optimal design of permanent magnet motor using multidisciplinary design optimization[C]//IEEE 18th International Con-ference on Electrical Machines, Vilamoura, Portugal, 2008: 1-6.
[134] Di Nardo M, Galea M, Gerada C, et al.Multi-physics optimization strategies for high speed synchronous reluctance machines[C]//IEEE Energy Conversion Congress and Exposition, Montreal, QC, Canada, 2015: 2813-2820.
[135] Nardo M D, Calzo G L, Galea M, et al.Design optimization of a high-speed synchronous reluctance machine[J]. IEEE Transactions on Industry Appli-cations, 2018, 54(1): 233-243.
[136] 杨磊, 韦喜忠, 赵峰, 等. 多学科设计优化算法研究综述[J]. 舰船科学技术, 2017, 39(3): 1-5, 47.
Yang Lei, Wei Xizhong, Zhao Feng, et al.Review of the multidisciplinary design optimization algorithm[J]. Ship Science and Technology, 2017, 39(3): 1-5, 47.
[137] 杨丽丽. 多学科协同优化及其不确定性和多目标性研究[D]. 上海: 上海交通大学, 2018.
[138] Sobieszczanski-Sobieski J, Kodiyalam S.BLISS/S: a new method for two-level structural optimization[J]. Structural and Multidisciplinary Optimization, 2001, 21(1): 1-13.
[139] 张立章, 尹泽勇, 米栋, 等. 基于改进的BLISS2000优化策略的涡轮级多学科设计优化[J]. 机械强度, 2015, 37(4): 639-645.
Zhang Lizhang, Yin Zeyong, Mi Dong, et al.Multidisciplinary design optimization of turbine stage based on improved bi-level integrated system syn-thesis[J]. Journal of Mechanical Strength, 2015, 37(4): 639-645.
[140] Kim H, Ragon S, Soremekun G, et al.Flexible approximation model approach for Bi-level integrated system synthesis[C]//10th AIAA/ISSMO Multidis-ciplinary Analysis and Optimization Conference, Albany, New York, 2004: 4545.
[141] Kim H M, Michelena N F, Papalambros P Y, et al.Target cascading in optimal system design[J]. Journal of Mechanical Design, 2003, 125(3): 474-480.
[142] 谢敏, 吉祥, 柯少佳, 等. 基于目标级联分析法的多微网主动配电系统自治优化经济调度[J]. 中国电机工程学报, 2017, 37(17): 4911-4921, 5210.
Xie Min, Ji Xiang, Ke Shaojia, et al.Autonomous optimized economic dispatch of active distribution power system with multi-microgrids based on analytical target cascading theory[J]. Proceedings of the CSEE, 2017, 37(17): 4911-4921, 5210.
[143] 夏云睿, 朱建全. 基于目标级联分析法的多区域电力系统分散优化调度[J]. 电工电气, 2020(11): 10-15.
Xia Yunrui, Zhu Jianquan.Decentralized optimal dispatch of multi-area power systems based on analytical target cascading[J]. Electrotechnics Electric, 2020(11): 10-15.
[144] 张强, 赵晋泉, 戴则梅, 等. 基于目标级联分析的输配电网黑启动分布式协同优化方法[J]. 电力系统自动化, 2021, 45(3): 111-120.
Zhang Qiang, Zhao Jinquan, Dai Zemei, et al.Distributed coordinated optimization method for black-start of transmission and distribution networks based on analytical target cascading[J]. Automation of Electric Power Systems, 2021, 45(3): 111-120.
[145] 赵勇, 杨维维, 黄奕勇, 等. 一种改进的混合BLISS多学科设计优化方法[J]. 国防科技大学学报, 2011, 33(5): 17-21.
Zhao Yong, Yang Weiwei, Huang Yiyong, et al.An improved MDO procedure: hybrid Bi-level integrated system synthesis[J]. Journal of National University of Defense Technology, 2011, 33(5): 17-21.
[146] Yao Wen, Chen Xiaoqian, Ouyang Qi, et al.A surrogate based multistage-multilevel optimization procedure for multidisciplinary design optimization[J]. Structural and Multidisciplinary Optimization, 2012, 45(4): 559-574.
[147] Bracikowski N, Hecquet M, Brochet P, et al.Multi-physics modeling of a permanent magnet synchronous machine by using lumped models[J]. IEEE Transa-ctions on Industrial Electronics, 2012, 59(6): 2426-2437.
[148] Feng Jianghua, Wang Yu, Guo Shuying, et al.Split ratio optimisation of high-speed permanent magnet brushless machines considering mechanical con-straints[J]. IET Electric Power Applications, 2019, 13(1): 81-90.
[149] Li Zheng, Chen Qing, Wang Qunjing.Analysis of multi-physics coupling field of multi-degree-of-freedom permanent magnet spherical motor[J]. IEEE Transactions on Magnetics, 2019, 55(6): 1-5.
[150] Zhu Gaojia, Liu Xiaoming, Li Longnü, et al.Coupled electromagnetic-thermal-fluidic analysis of permanent magnet synchronous machines with a modified model[J]. CES Transactions on Electrical Machines and Systems, 2019, 3(2): 204-209.
[151] Li Yingjie, Bobba D, Sarlioglu B.Design and optimization of a novel dual-rotor hybrid PM machine for traction application[J]. IEEE Transactions on Industrial Electronics, 2018, 65(2): 1762-1771.
[152] Guo Hong, Lü Zhenhua, Wu Zhiyong, et al.Multi-physics design of a novel turbine permanent magnet generator used for downhole high-pressure high-temperature environment[J]. IET Electric Power Applications, 2013, 7(3): 214-222.
[153] Akiki P, Hassan M H, Bensetti M, et al.Multiphysics design of a V-shape IPM motor[J]. IEEE Transactions on Energy Conversion, 2018, 33(3): 1141-1153.
[154] 郭恩睿, 张凤阁, 戴睿, 等. 高速永磁电机的设计与磁热耦合温升计算[J]. 大电机技术, 2020(3): 1-6, 25.
Guo Enrui, Zhang Fengge, Dai Rui, et al.Design and magnetic-thermal coupling temperature rise analysis of high-speed permanent magnet motor[J]. Large Electric Machine and Hydraulic Turbine, 2020(3): 1-6, 25.
[155] Wang Tianyu, Zhang Yue, Wen Fuqiang, et al.Coupling calculation and analysis of three-dimensional temperature and fluid field for high-power high-speed permanent magnet machine[J]. IET Electric Power Applications, 2019, 13(6): 820-825.
[156] Wrobel R, Mellor P H, Popescu M, et al.Power loss analysis in thermal design of permanent-magnet machines—a review[J]. IEEE Transactions on Industry Applications, 2016, 52(2): 1359-1368.
[157] 丁树业, 朱敏, 江欣. 永磁同步电机三维全域温度场与温度应力耦合研究[J]. 电机与控制学报, 2018, 22(1): 53-60, 71.
Ding Shuye, Zhu Min, Jiang Xin.Coupling study of 3D universal temperature field and temperature stress for permanent magnet synchronous motor[J]. Electric Machines and Control, 2018, 22(1): 53-60, 71.
[158] 万援, 崔淑梅, 吴绍朋, 等. 扁平大功率高速永磁同步电机的护套设计及其强度优化[J]. 电工技术学报, 2018, 33(1): 55-63.
Wan Yuan, Cui Shumei, Wu Shaopeng, et al.Design and strength optimization of the carbon fiber sleeve of high-power high-speed PMSM with flat structure[J]. Transactions of China Electrotechnical Society, 2018, 33(1): 55-63.
[159] 张超, 朱建国, 韩雪岩. 高速表贴式永磁电机转子强度分析[J]. 中国电机工程学报, 2016, 36(17): 4719-4727.
Zhang Chao, Zhu Jianguo, Han Xueyan.Rotor strength analysis of high-speed surface mounted permanent magnet rotors[J]. Proceedings of the CSEE, 2016, 36(17): 4719-4727.
[160] 王天煜, 温福强, 张凤阁, 等. 兆瓦级高速永磁电机转子多场耦合强度分析[J]. 电工技术学报, 2018, 33(19): 4508-4516.
Wang Tianyu, Wen Fuqiang, Zhang Fengge, et al.Analysis of multi-field coupling strength for MW high-speed permanent magnet machine[J]. Transa-ctions of China Electrotechnical Society, 2018, 33(19): 4508-4516.
[161] 彭河蒙. 电动汽车电机驱动系统电磁干扰预测模型的研究[D]. 重庆: 重庆大学, 2015.
[162] Wu Shuai, Zhao Xiangyu, Jiao Zongxia, et al.Multi-objective optimal design of a toroidally wound radial-flux Halbach permanent magnet array limited angle torque motor[J]. IEEE Transactions on Indu-strial Electronics, 2017, 64(4): 2962-2971.
[163] Zuo Shuguang, Lin Fu, Wu Xudong.Noise analysis, calculation, and reduction of external rotor permanent-magnet synchronous motor[J]. IEEE Transactions on Industrial Electronics, 2015, 62(10): 6204-6212.
[164] 乔长帅, 唐赢武, 钟博. 牵引电机定子端部绕组电磁力计算分析[J]. 电机技术, 2020(5): 15-18, 22.
Qiao Changshuai, Tang Yingwu, Zhong Bo.Calcu-lation and analysis on electromagnetic force of the stator end winding in traction motors[J]. Electrical Machinery Technology, 2020(5): 15-18, 22.
[165] 陈金秀, 阮琳, 顾国彪. 发电-电动机定子线棒启停过程中的热应力分析[J]. 中国电机工程学报, 2017, 37(3): 898-906.
Chen Jinxiu, Ruan Lin, Gu Guobiao.Thermal stress analysis of stator bar in generator-motor during startup/shutdown process[J]. Proceedings of the CSEE, 2017, 37(3): 898-906.
[166] 谢颖, 王泽, 单雪婷, 等. 基于多场量的笼型感应电机三维瞬态磁热固耦合计算分析[J]. 中国电机工程学报, 2016, 36(11): 3076-3084.
Xie Ying, Wang Ze, Shan Xueting, et al.The calculations and analysis of 3D transient magnetic-thermal-solid coupling for squirrel-cage induction motors based on multi fields[J]. Proceedings of the CSEE, 2016, 36(11): 3076-3084.
[167] 李晓华, 黄苏融, 李良梓. 电动汽车用永磁同步电机振动噪声的计算与分析[J]. 电机与控制学报, 2013, 17(8): 37-42.
Li Xiaohua, Huang Surong, Li Liangzi.Calculation and analysis of vehicle vibration and noise of permanent magnet synchronous motor applied in electric vehicle[J]. Electric Machines and Control, 2013, 17(8): 37-42.
[168] 贲彤, 陈芳媛, 陈龙, 等. 考虑力-磁耦合效应的无取向电工钢片磁致伸缩模型的改进[J]. 中国电机工程学报, 2021, 41(15): 5361-5370.
Ben Tong, Chen Fangyuan, Chen Long, et al.An improved magnetostrictive model of non-oriented electrical steel sheet considering force-magnetic coupling effect[J]. Proceedings of the CSEE, 2021, 41(15): 5361-5370.
[169] Le Besnerais J, Fasquelle A, Hecquet M, et al.Multiphysics modeling: electro-vibro-acoustics and heat transfer of PWM-fed induction machines[J]. IEEE Transactions on Industrial Electronics, 2010, 57(4): 1279-1287.
[170] 李晓华, 赵容健, 田晓彤, 等. 逆变器供电对电动汽车内置式永磁同步电机振动噪声特性影响研究[J]. 电工技术学报, 2020, 35(21): 4455-4464.
Li Xiaohua, Zhao Rongjian, Tian Xiaotong, et al.Study on vibration and noise characteristics of interior permanent magnet synchronous machine for electric vehicles by inverter[J]. Transactions of China Electrotechnical Society, 2020, 35(21): 4455-4464.
[171] 孟大伟, 施道龙, 于喜伟, 等. 单边磁拉力对大型感应电机转子临界转速的影响分析[J]. 大电机技术, 2015(6): 15-19.
Meng Dawei, Shi Daolong, Yu Xiwei, et al.Analysis of effect of unbalanced magnetic pull on rotor critical speed of large asynchronous motor[J]. Large Electric Machine and Hydraulic Turbine, 2015(6): 15-19.
[172] 张凤阁, 杜光辉, 王天煜, 等. 高速电机发展与设计综述[J]. 电工技术学报, 2016, 31(7): 1-18.
Zhang Fengge, Du Guanghui, Wang Tianyu, et al.Review on development and design of high speed machines[J]. Transactions of China Electrotechnical Society, 2016, 31(7): 1-18.
[173] 翟丽. 新能源汽车电驱动系统EMC问题的改进及展望[J]. 安全与电磁兼容, 2017(5): 9-10.
Zhai Li.Improvement and outlook on EMC problems of electric drive system in new energy vehicle[J]. Safety & EMC, 2017(5): 9-10.
[174] Benecke J.Impedance and emission optimization of low-voltage DC motors for EMC compliance[J]. IEEE Transactions on Industrial Electronics, 2011, 58(9): 3833-3839.
[175] 李增亮, 张琦, 于然, 等. 计及温度边界条件变化的潜水电机磁热流耦合模型分析[J]. 微电机, 2018, 51(11): 18-26.
Li Zengliang, Zhang Qi, Yu Ran, et al.Analysis of magnetic-thermal-flux coupling model of submersible motor considering variation of temperature boundary[J]. Micromotors, 2018, 51(11): 18-26.
[176] 韩雪岩, 张华伟, 徐昕, 等. 基于计算流体力学的非晶合金轴向磁通永磁电机冷却系统设计[J]. 电工技术学报, 2017, 32(20): 189-197.
Han Xueyan, Zhang Huawei, Xu Xin, et al.Design of cooling system for amorphous alloy axial flux per-manent magnet motor based on computational fluid dynamics[J]. Transactions of China Electrotechnical Society, 2017, 32(20): 189-197.
[177] 王晓远, 杜静娟. CFD分析车用电机螺旋水路的散热特性[J]. 电工技术学报, 2018, 33(4): 955-963.
Wang Xiaoyuan, Du Jingjuan.CFD analysis of heat transfer characterization in spiral channel cooling for permanent magnet electric machine in EVs[J]. Transactions of China Electrotechnical Society, 2018, 33(4): 955-963.
[178] 刘雄, 熊飞, 朱林培, 等. 电动汽车驱动电机三维CFD热分析与温升测试研究[J]. 电机与控制应用, 2019, 46(3): 83-89, 108.
Liu Xiong, Xiong Fei, Zhu Linpei, et al.Three-dimensional CFD thermal analysis and temperature rise test of drive motor for electric vehicle[J]. Electric Machines & Control Application, 2019, 46(3): 83-89, 108.
[179] Cramer E J, Dennis J E Jr, Frank P D, et al. Problem formulation for multidisciplinary optimization[J]. SIAM Journal on Optimization, 1994, 4(4): 754-776.
[180] de Weck O, Agte J, Sobieszczanski-Sobieski J, et al. State-of-the-art and future trends in multidisciplinary design optimization[C]//48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Honolulu, Hawaii, Reston, Virginia, 2007: 1905.
[181] Fodorean D, Idoumghar L, N'Diaye A, et al. Simu-lated annealing algorithm for the optimisation of an electrical machine[J]. IET Electric Power Applica-tions, 2012, 6(9): 735.
[182] Yang Lin, Ho S L, Fu W N, et al.Design optimization of a permanent magnet motor derived from a general magnetization pattern[J]. IEEE Transactions on Magnetics, 2015, 51(11): 1-4.
[183] Li Yuanwen, Zhu Changsheng, Wu Lijian, et al.Multi-objective optimal design of high-speed surface-mounted permanent magnet synchronous motor for magnetically levitated flywheel energy storage system[J]. IEEE Transactions on Magnetics, 2019, 55(7): 1-8.
[184] Cupertino F, Pellegrino G, Gerada C.Design of synchronous reluctance motors with multiobjective optimization algorithms[J]. IEEE Transactions on Industry Applications, 2014, 50(6): 3617-3627.
[185] 李立毅, 唐勇斌, 刘家曦, 等. 多种群遗传算法在无铁心永磁直线同步电机优化设计中的应用[J]. 中国电机工程学报, 2013, 33(15): 69-77, 14.
Li Liyi, Tang Yongbin, Liu Jiaxi, et al.Application of the multiple population genetic algorithm in optimum design of air-core permanent magnet linear syn-chronous motors[J]. Proceedings of the CSEE, 2013, 33(15): 69-77, 14.
[186] Watanabe K, Suga Takao, Kitabatake S.Topology optimization based on the ON/OFF method for syn-chronous motor[J]. IEEE Transactions on Magnetics, 2018, 54(3): 1-4.
[187] 王晓远, 高鹏. 基于进化策略的轮毂电机永磁体结构优化设计[J]. 中国电机工程学报, 2015, 35(4): 979-984.
Wang Xiaoyuan, Gao Peng.Optimal design of permanent magnets of in-wheel motor based on evolution strategy[J]. Proceedings of the CSEE, 2015, 35(4): 979-984.
[188] Bora T C, Coelho L D S, Lebensztajn L. Bat-inspired optimization approach for the brushless DC wheel motor problem[J]. IEEE Transactions on Magnetics, 2012, 48(2): 947-950.
[189] Zhang Zhu, Rao Shenghua, Zhang Xiaoping.Per-formance prediction of switched reluctance motor using improved generalized regression neural networks for design optimization[J]. CES Transa-ctions on Electrical Machines and Systems, 2018, 2(4): 371-376.
[190] Harris M R, Pajooman G H, Abu Sharkh S M. Performance and design optimisation of electric motors with heteropolar surface magnets and homopolar windings[J]. IEE Proceedings-Electric Power Applications, 1996, 143(6): 429.
[191] Kumar B M, Ashok R B.Soft computing using GWO (grey wolf optimization) for the performance improvement of high speed brushless DC motor[C]//IEEE International Conference on Emerging Trends and Innovations In Engineering and Technological Research (ICETIETR), Ernakulam, India, 2018: 1-6.
[192] Krasopoulos C T, Armouti I P, Kladas A G.Hybrid multiobjective optimization algorithm for PM motor design[J]. IEEE Transactions on Magnetics, 2017, 53(6): 1-4.
[193] 郑金华, 邹娟. 多目标进化优化[M]. 北京: 科学出版社, 2017.