直流降壓變換器滑模控制系統(tǒng)非線性動力學行為研究
發(fā)布時間：2018-09-12 10:47
【摘要】：隨著綠色用電、環(huán)保用電、能源之星認證等節(jié)能降耗政策的陸續(xù)出臺,電能變換質量將是電源產業(yè)面臨和亟待解決的問題,也是目前控制界和工程界科研工作者關注的焦點。據電力電子行業(yè)深度調查報告:目前電能的耗用占所有能源耗用的百分之五十五,其中約百分之七十的電能是通過電力電子設備的轉換后使用。本文以直流降壓變換器(又稱為DC-DC Buck變換器)作為控制對象,旨在研究滑�？刂品椒☉糜贐uck變換器時誘發(fā)的非線性動力學行為,在時域和頻域內對其穩(wěn)定性、高頻抖振問題、分岔現(xiàn)象、未建模動態(tài)等展開具體分析,并最終通過多相滑�？刂品椒▽崿F(xiàn)Buck變換器非線性行為的定量抑制。Buck變換器是一類典型的具有開關特性的變結構系統(tǒng),非常多的文獻已經證明滑�？刂�(Sliding Mode Control)的繼電控制特性與Buck變換器具有強適應性。本文首先闡述滑模控制的基本原理,基于建立的Buck變換器在開關管開通/截止情況下的一致微分方程模型,詳細給出目前常用的線性滑模、終端滑模和非奇異終端滑�？刂品椒ǖ脑O計過程,在時域內推導出保證Buck變換器滑�？刂葡到y(tǒng)穩(wěn)定的條件,研究控制器設計參數(shù)的整定,并在一個開關周期內推導出功率開關管的開關頻率。Buck變換器是一類典型的時變非線性系統(tǒng),儲能元件電容和電感的非線性、滯環(huán)調制邊界層的非線性等直接影響著系統(tǒng)的瞬態(tài)響應和輸出電壓品質。本文以穩(wěn)定性作為控制指標,建立Buck變換器的采樣數(shù)據模型,利用Filippov方法對Buck變換器的非線性進行分析和研究。以電源電壓作為分岔參數(shù),以鋸齒波一個周期內的電容電壓采樣值作為變量,判斷和分析Buck電路的分岔情況;根據特征根選取電路參數(shù),并分析了不同非線性電路參數(shù)對系統(tǒng)性能的影響,從而抑制電路振蕩現(xiàn)象發(fā)生,保證Buck變換器系統(tǒng)的穩(wěn)定性。未建模動態(tài)是影響B(tài)uck變換器滑�？刂葡到y(tǒng)非線性動力學行為的重要因素,尤其是滑�？刂茻o法避免的高頻抖振問題,會誘發(fā)系統(tǒng)的高頻段諧波,消耗更多的能量,使得系統(tǒng)產生振蕩甚至趨于不穩(wěn)定。本文首先建立傳感器和執(zhí)行器的未建模動態(tài)模型,推導出未建模動態(tài)模型的小時間常數(shù)對Buck變換器滑�？刂葡到y(tǒng)不連續(xù)控制的系統(tǒng)的數(shù)學影響關系,并基于描述函數(shù)法對未建模動態(tài)誘發(fā)的高頻輸出電壓諧波在頻域內進行定量分析,在頻域內推導出幅值和頻率與未建模動態(tài)、Buck變換器滯環(huán)調制等的數(shù)學影響關系。滯環(huán)調制的非線性已揭示為影響B(tài)uck變換器滑�？刂葡到y(tǒng)非線性動力學行為的關鍵因素,而在實際系統(tǒng)則是通過功率開關管實現(xiàn),進而誘發(fā)復雜的輸出電流諧波。本文基于多滑�？刂品椒�,首先闡述其設計過程,進而將其應用于Buck變換器。分析輸出電流諧波在穩(wěn)態(tài)滑模面附近的運動軌跡,推導出滯環(huán)調制寬度與每一個功率開關管的振蕩幅值和頻率的數(shù)學關系式,并通過調整多相滑模間的相位關系,使得各相中的諧波非線性相互抵消,進而提高Buck變換器輸出電壓品質。以上研究成果均圍繞滑�？刂品椒ㄕ归_,且通過仿真實驗進行驗證和對比,仿真結果表明本文所提控制方法的是有效的,并且可以實施執(zhí)行。
[Abstract]:With the introduction of energy-saving and consumption-reducing policies such as green power, environmental protection and energy star certification, the quality of power conversion will be a problem that the power industry faces and needs to be solved urgently. It is also the focus of the current control and engineering researchers. Fifty-five percent of the energy used is converted from power electronic devices to power electronic devices. In this paper, DC buck converter (also known as DC-DC Buck converter) is used as the control object to study the nonlinear dynamic behavior induced by sliding mode control applied to Buck converter in time domain and frequency domain. Stability, high frequency buffeting, bifurcation and unmodeled dynamics are analyzed in detail, and the nonlinear behavior of Buck converter is quantitatively suppressed by multiphase sliding mode control method. Buck converter is a typical variable structure system with switching characteristics. Sliding mode control has been proved in many literatures. The basic principle of sliding mode control is described in this paper. Based on the established uniform differential equation model of Buck converter under switching on/off condition, the design process of linear sliding mode, terminal sliding mode and non-singular terminal sliding mode control method is given in detail. The stability conditions of the sliding mode control system of Buck converter are deduced in the time domain. The design parameters of the controller are studied and the switching frequency of the power switch is deduced in a switching period. Linearity and other factors directly affect the transient response and output voltage quality of the system.In this paper,the stability is taken as the control index,the sampling data model of Buck converter is established,and the non-linearity of Buck converter is analyzed and studied by Filippov method.The power supply voltage is taken as the bifurcation parameter,and the capacitor voltage is sampled in a period of sawtooth wave. The bifurcation of Buck converter is judged and analyzed by using the value as a variable, the circuit parameters are selected according to the characteristic root, and the influence of different nonlinear circuit parameters on the performance of the system is analyzed, so as to suppress the circuit oscillation and ensure the stability of the Buck converter system. The important factors of mechanical behavior, especially the high frequency chattering problem which is unavoidable by sliding mode control, will induce the high frequency harmonics of the system, consume more energy, and make the system oscillate or even tend to be unstable. The mathematic influence relation of discontinuous control system of Buck converter sliding mode control system is analyzed quantitatively in frequency domain based on descriptive function method. The mathematic influence relation of amplitude and frequency with unmodeled dynamics and hysteresis modulation of Buck converter is deduced in frequency domain. Modulation nonlinearity has been revealed to be the key factor affecting the nonlinear dynamic behavior of Buck converter sliding mode control system. In practical systems, complex output current harmonics are induced by power switching transistors. The motion trajectory of the output current harmonics near the steady-state sliding surface is analyzed. The mathematical relationship between the width of hysteresis modulation and the oscillation amplitude and frequency of each power switch is derived. By adjusting the phase relationship between the multi-phase sliding modes, the harmonic nonlinearities in each phase are cancelled out and the output voltage quality of the Buck converter is improved. The above research results are all around the sliding mode control method, and the simulation experiments are carried out to verify and compare. The simulation results show that the proposed control method is effective and can be implemented.
【學位授予單位】：哈爾濱工業(yè)大學
【學位級別】：碩士
【學位授予年份】：2017
【分類號】：TP273;TM46
本文編號：2238761
[Abstract]:With the introduction of energy-saving and consumption-reducing policies such as green power, environmental protection and energy star certification, the quality of power conversion will be a problem that the power industry faces and needs to be solved urgently. It is also the focus of the current control and engineering researchers. Fifty-five percent of the energy used is converted from power electronic devices to power electronic devices. In this paper, DC buck converter (also known as DC-DC Buck converter) is used as the control object to study the nonlinear dynamic behavior induced by sliding mode control applied to Buck converter in time domain and frequency domain. Stability, high frequency buffeting, bifurcation and unmodeled dynamics are analyzed in detail, and the nonlinear behavior of Buck converter is quantitatively suppressed by multiphase sliding mode control method. Buck converter is a typical variable structure system with switching characteristics. Sliding mode control has been proved in many literatures. The basic principle of sliding mode control is described in this paper. Based on the established uniform differential equation model of Buck converter under switching on/off condition, the design process of linear sliding mode, terminal sliding mode and non-singular terminal sliding mode control method is given in detail. The stability conditions of the sliding mode control system of Buck converter are deduced in the time domain. The design parameters of the controller are studied and the switching frequency of the power switch is deduced in a switching period. Linearity and other factors directly affect the transient response and output voltage quality of the system.In this paper,the stability is taken as the control index,the sampling data model of Buck converter is established,and the non-linearity of Buck converter is analyzed and studied by Filippov method.The power supply voltage is taken as the bifurcation parameter,and the capacitor voltage is sampled in a period of sawtooth wave. The bifurcation of Buck converter is judged and analyzed by using the value as a variable, the circuit parameters are selected according to the characteristic root, and the influence of different nonlinear circuit parameters on the performance of the system is analyzed, so as to suppress the circuit oscillation and ensure the stability of the Buck converter system. The important factors of mechanical behavior, especially the high frequency chattering problem which is unavoidable by sliding mode control, will induce the high frequency harmonics of the system, consume more energy, and make the system oscillate or even tend to be unstable. The mathematic influence relation of discontinuous control system of Buck converter sliding mode control system is analyzed quantitatively in frequency domain based on descriptive function method. The mathematic influence relation of amplitude and frequency with unmodeled dynamics and hysteresis modulation of Buck converter is deduced in frequency domain. Modulation nonlinearity has been revealed to be the key factor affecting the nonlinear dynamic behavior of Buck converter sliding mode control system. In practical systems, complex output current harmonics are induced by power switching transistors. The motion trajectory of the output current harmonics near the steady-state sliding surface is analyzed. The mathematical relationship between the width of hysteresis modulation and the oscillation amplitude and frequency of each power switch is derived. By adjusting the phase relationship between the multi-phase sliding modes, the harmonic nonlinearities in each phase are cancelled out and the output voltage quality of the Buck converter is improved. The above research results are all around the sliding mode control method, and the simulation experiments are carried out to verify and compare. The simulation results show that the proposed control method is effective and can be implemented.
【學位授予單位】：哈爾濱工業(yè)大學
【學位級別】：碩士
【學位授予年份】：2017
【分類號】：TP273;TM46
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