發(fā)布時(shí)間：2018-05-25 18:06

  本文選題：分?jǐn)?shù)階 + 建模��； 參考：《華南理工大學(xué)》2014年博士論文

【摘要】：主要研究永磁同步電動(dòng)機(jī)的分?jǐn)?shù)階建模，研究圍繞電動(dòng)機(jī)分?jǐn)?shù)階模型存在性、電動(dòng)機(jī)分?jǐn)?shù)階時(shí)域建模、電動(dòng)機(jī)分?jǐn)?shù)階頻域建模以及基于永磁同步電動(dòng)機(jī)分?jǐn)?shù)階模型的分?jǐn)?shù)階比例積分控制器的速度控制研究四個(gè)方面展開(kāi)。 永磁同步電動(dòng)機(jī)分?jǐn)?shù)階模型的存在性是本文研究的首要問(wèn)題。鑒于永磁同步電動(dòng)機(jī)分?jǐn)?shù)階模型是否存在，目前尚無(wú)相關(guān)研究及其成果的報(bào)告，加之對(duì)分?jǐn)?shù)階微積分的物理機(jī)理和意義尚無(wú)統(tǒng)一的認(rèn)識(shí)，因此很難從機(jī)理上去證明或者驗(yàn)證用分?jǐn)?shù)階微積分描述的電動(dòng)機(jī)模型的存在。本文假設(shè)，如果分?jǐn)?shù)階模型存在，即分?jǐn)?shù)階模型比其整數(shù)階模型更加貼近電動(dòng)機(jī)的實(shí)際，那么采用依賴于模型的控制器對(duì)采用分?jǐn)?shù)階對(duì)象進(jìn)行控制所得到的控制性能應(yīng)該優(yōu)于利用該控制器對(duì)整數(shù)階對(duì)象進(jìn)行控制的性能。本文結(jié)合仿真實(shí)驗(yàn)和原型實(shí)驗(yàn)研究的結(jié)果表明，永磁同步電動(dòng)機(jī)的分?jǐn)?shù)階模型是存在的。 采用機(jī)理和數(shù)據(jù)相結(jié)合的建模方法對(duì)永磁同步電動(dòng)機(jī)分?jǐn)?shù)階時(shí)域建模，提出電動(dòng)機(jī)的一種分?jǐn)?shù)階模型，設(shè)計(jì)偽隨機(jī)激勵(lì)信號(hào)，獲取實(shí)時(shí)實(shí)驗(yàn)數(shù)據(jù)并采用數(shù)值擬合方法來(lái)獲取分?jǐn)?shù)階階次，運(yùn)用分?jǐn)?shù)階系統(tǒng)建模中Output-error辨識(shí)算法，實(shí)現(xiàn)數(shù)據(jù)建模。模型驗(yàn)證通過(guò)原型實(shí)驗(yàn)，由辨識(shí)得到的永磁同步電動(dòng)機(jī)分?jǐn)?shù)階模型和傳統(tǒng)的整數(shù)階模型采用同一控制器設(shè)計(jì)準(zhǔn)則，在相同的實(shí)驗(yàn)條件下比較系統(tǒng)的階躍響應(yīng)跟隨性能。 采用機(jī)理和數(shù)據(jù)相結(jié)合的建模方法對(duì)永磁同步電動(dòng)機(jī)分?jǐn)?shù)階頻域建模，提出電動(dòng)機(jī)的一種分?jǐn)?shù)階模型，由實(shí)時(shí)實(shí)驗(yàn)數(shù)據(jù)繪制出電動(dòng)機(jī)的對(duì)數(shù)頻率特性曲線。采用分?jǐn)?shù)階頻域建模中經(jīng)典Levy辨識(shí)算法，對(duì)算法在高頻數(shù)據(jù)擬合好但在低頻段擬合差的問(wèn)題，用加權(quán)函數(shù)加以改進(jìn)，得到永磁同步電動(dòng)機(jī)分?jǐn)?shù)階模型辨識(shí)結(jié)果。模型驗(yàn)證通過(guò)原型實(shí)驗(yàn)，，由辨識(shí)得到的永磁同步電動(dòng)機(jī)分?jǐn)?shù)階模型和傳統(tǒng)的整數(shù)階模型采用同一控制器設(shè)計(jì)準(zhǔn)則，在相同的實(shí)驗(yàn)條件下比較系統(tǒng)的階躍響應(yīng)跟隨性能。 對(duì)永磁同步電動(dòng)機(jī)時(shí)域和頻域分?jǐn)?shù)階建模兩種方法的過(guò)程進(jìn)行了簡(jiǎn)述和比較，分?jǐn)?shù)階模型比整數(shù)階模型對(duì)系統(tǒng)辨識(shí)頻域數(shù)據(jù)擬合的更好。這或許可以解釋電磁耦合的分布參數(shù)系統(tǒng)的特性不能用整數(shù)有限階次建模，分?jǐn)?shù)階建模卻可以得到更好的擬合結(jié)果。同時(shí)基于永磁同步電動(dòng)機(jī)分?jǐn)?shù)階模型和整數(shù)階模型，采用同一分?jǐn)?shù)階控制器設(shè)計(jì)準(zhǔn)則，給出分?jǐn)?shù)階比例積分PIλ控制器的設(shè)計(jì)方法和過(guò)程，比較系統(tǒng)的階躍響應(yīng)跟隨性能。
[Abstract]:This paper mainly studies the fractional order modeling of permanent magnet synchronous motor (PMSM), the existence of fractional-order model of PMSM, and the modeling of fractional-order time-domain of PMSM. The research on fractional order frequency domain modeling of motor and speed control of fractional order proportional integral controller based on fractional order model of permanent magnet synchronous motor (PMSM) is carried out in four aspects. The existence of fractional order model of permanent magnet synchronous motor (PMSM) is the most important problem in this paper. In view of the existence of fractional order model of permanent magnet synchronous motor, there is no report of relevant research and achievements, and there is no unified understanding of the physical mechanism and significance of fractional calculus. Therefore, it is difficult to prove or verify the existence of the motor model described by fractional calculus. This paper assumes that, if the fractional order model exists, that is, the fractional order model is closer to the actual motor than its integer order model. Then the control performance obtained by using the model-dependent controller to control the fractional order object should be better than that of using the controller to control the integer order object. The results of simulation and prototype experiments show that the fractional order model of PMSM exists. The fractional time domain model of permanent magnet synchronous motor (PMSM) is modeled by the combination of mechanism and data. A fractional order model of PMSM is proposed and the pseudo-random excitation signal is designed. The real-time experimental data are obtained and the fractional order is obtained by numerical fitting method. The Output-error identification algorithm in fractional order system modeling is used to realize the data modeling. Model verification through prototype experiments, the fractional order model and the traditional integer order model of PMSM are identified using the same controller design criterion, and the step response following performance of the system is compared under the same experimental conditions. The fractional frequency domain model of permanent magnet synchronous motor (PMSM) is modeled by the combination of mechanism and data. A fractional order model of PMSM is proposed. The logarithmic frequency characteristic curve of PMSM is drawn from the real time experimental data. The classical Levy identification algorithm in fractional frequency domain modeling is adopted. The problem that the algorithm is fitted well in high frequency data but the fitting error in low frequency band is improved by the weight function, and the result of fractional order model identification of permanent magnet synchronous motor (PMSM) is obtained. Model verification through prototype experiments, the fractional order model and the traditional integer order model of PMSM are identified using the same controller design criterion, and the step response following performance of the system is compared under the same experimental conditions. The process of fractional order modeling of permanent magnet synchronous motor in time domain and frequency domain is briefly described and compared. The fractional order model is better than the integer order model in fitting the system identification data in frequency domain. This may explain that the characteristics of electromagnetic coupled distributed parameter systems cannot be modeled with integer finite order, but fractional modeling can obtain better fitting results. At the same time, based on the fractional order model and integer order model of permanent magnet synchronous motor, the design method and process of fractional integral Pi 位 controller with the same fractional order controller are given, and the step response following performance of the system is compared.
【學(xué)位授予單位】：華南理工大學(xué)
【學(xué)位級(jí)別】：博士
【學(xué)位授予年份】：2014
【分類號(hào)】：TM341

【參考文獻(xiàn)】

相關(guān)期刊論文 前6條

1 李遠(yuǎn)祿;于盛林;;非整數(shù)階動(dòng)態(tài)系統(tǒng)的頻域辨識(shí)方法(英文)[J];Journal of Southeast University;2007年01期

2 王瑞萍;史步海;皮佑國(guó);;基于分?jǐn)?shù)階控制器的PMSM恒速控制[J];華南理工大學(xué)學(xué)報(bào)(自然科學(xué)版);2012年03期

3 王振濱,曹廣益,朱新堅(jiān);分?jǐn)?shù)階線性定常系統(tǒng)的穩(wěn)定性及其判據(jù)[J];控制理論與應(yīng)用;2004年06期

4 薛定宇;趙春娜;;分?jǐn)?shù)階系統(tǒng)的分?jǐn)?shù)階PID控制器設(shè)計(jì)[J];控制理論與應(yīng)用;2007年05期

5 李遠(yuǎn)祿;于盛林;;非整數(shù)階系統(tǒng)的頻域辨識(shí)法[J];自動(dòng)化學(xué)報(bào);2007年08期

6 王發(fā)強(qiáng);馬西奎;;電感電流連續(xù)模式下Boost變換器的分?jǐn)?shù)階建模與仿真分析[J];物理學(xué)報(bào);2011年07期

相關(guān)博士學(xué)位論文 前3條

1 李巖;分?jǐn)?shù)階微積分及其在粘彈性材料和控制理論中的應(yīng)用[D];山東大學(xué);2008年

2 李旺;分?jǐn)?shù)階系統(tǒng)辨識(shí)與控制器設(shè)計(jì)研究[D];中國(guó)科學(xué)技術(shù)大學(xué);2010年

3 王瑞萍;基于分?jǐn)?shù)階控制器的永磁同步電動(dòng)機(jī)速度控制研究[D];華南理工大學(xué);2012年

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