本文關(guān)鍵詞： 特定諧波消除法 非線性方程組 同倫算法 牛頓迭代法 初值　出處：《北京交通大學(xué)》2014年碩士論文　論文類型：學(xué)位論文

【摘要】：隨著電力電子技術(shù)的快速發(fā)展,使得PWM逆變器廣泛應(yīng)用于各種交流調(diào)速系統(tǒng),但逆變器輸出中的諧波對(duì)電網(wǎng)及用電設(shè)備的危害愈來(lái)愈受到人們的重視,并且,高性能調(diào)速系統(tǒng)對(duì)逆變器效率與輸出波形質(zhì)量等的要求也越來(lái)越高,使得特定諧波消除PWM (SHEPWM)技術(shù)的研究成為交流調(diào)速領(lǐng)域的研究熱點(diǎn),特定諧波消除技術(shù)可實(shí)現(xiàn)諧波的選擇性消除,控制輸出波形的基波分量,本文針對(duì)該技術(shù)進(jìn)行了相關(guān)研究。 由于SHEPWM技術(shù)的數(shù)學(xué)模型是一組非線性方程組,本文首先針對(duì)該非線性方程組,推導(dǎo)了求解非線性方程組的牛頓迭代法和同倫算法的迭代公式,研究發(fā)現(xiàn)不同的初值對(duì)牛頓法迭代公式的收斂速度影響很大,而對(duì)同倫算法的收斂速度影響較小,但同倫算法的計(jì)算時(shí)間較長(zhǎng),總體收斂速度較慢,且迭代精度很低。 然后,針對(duì)不同初值對(duì)利用牛頓迭代法求解非線性方程組的收斂速度影響很大的特點(diǎn),對(duì)非線性方程組數(shù)值求解的初值給定作了進(jìn)一步研究。利用經(jīng)驗(yàn)公式法,三角載波比較法和重心重合法分別計(jì)算得到同等條件下的初值序列,并將計(jì)算的初值序列應(yīng)用于牛頓迭代法對(duì)非線性方程組進(jìn)行求解,求解結(jié)果顯示：利用重心重合法計(jì)算得到的初值序列能更好地使迭代收斂。 最后,基于MATLAB搭建二極管鉗位型SPWM與SHEPWM三電平逆變器仿真模型,在SHEPWM消諧算法中利用重心重合法計(jì)算牛頓迭代公式的初值序列,并對(duì)非線性方程組進(jìn)行求解,以求得的數(shù)值解作為SHEPWM的控制脈沖序列。仿真結(jié)果顯示：SHEPWM方法控制下的輸出波形中各次諧波的含量比SPWM方法控制下的輸出諧波的含量低,即在相同的主電路、輸入電壓、開(kāi)關(guān)頻率、負(fù)載條件下,SHEPWM在諧波抑制方面優(yōu)于SPWM。
[Abstract]:With the rapid development of power electronics technology, PWM inverters are widely used in various AC speed regulating systems. However, the harm of harmonics in inverter output to power grid and power equipment has been paid more and more attention. The requirement of inverter efficiency and output waveform quality of high performance speed regulating system is more and more high, which makes the research of special harmonic elimination PWM / SHEPWM technology become the research hotspot in the field of AC speed regulation. The special harmonic elimination technique can realize the selective elimination of harmonics and control the fundamental component of the output waveform. Because the mathematical model of SHEPWM technique is a set of nonlinear equations, the Newton iteration method and the homotopy algorithm for solving the nonlinear equations are derived in this paper. It is found that different initial values have great influence on the convergence rate of Newton iterative formula, but have little effect on the convergence rate of homotopy algorithm, but the computation time of homotopy algorithm is longer, the overall convergence rate is slower and the iteration accuracy is very low. Then, in view of the fact that different initial values have great influence on the convergence rate of solving nonlinear equations by Newton iterative method, a further study is made on the initial value of numerical solution of nonlinear equations, and the empirical formula method is used to solve the problem. The triangular carrier comparison method and the barycenter method are used to calculate the initial value sequence under the same conditions, and the calculated initial value sequence is applied to the Newton iteration method to solve the nonlinear equations. The results show that the initial value sequence calculated by the gravity center coincidence method can make the iterative convergence better. Finally, the simulation model of diode clamped SPWM and SHEPWM three-level inverter is built based on MATLAB. In the SHEPWM harmonic elimination algorithm, the initial value sequence of Newton's iterative formula is calculated by using the center of gravity coincidence method, and the nonlinear equations are solved. The numerical solution is used as the control pulse sequence of SHEPWM. The simulation results show that the harmonic content of the output waveform under the control of the SPWM method is lower than that of the output harmonic under the control of the SPWM method, that is, in the same main circuit, the input voltage is the same. The switching frequency and load condition of SHEPWM are superior to SPWM in harmonic suppression.
【學(xué)位授予單位】：北京交通大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2014
【分類號(hào)】：TM464

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