本文選題：流場(chǎng) + 溫度場(chǎng)��； 參考：《華北電力大學(xué)(北京)》2017年博士論文

【摘要】：油浸式電力變壓器是輸配電網(wǎng)的重要設(shè)備之一,熱點(diǎn)溫升關(guān)系到油浸式電力變壓器的使用壽命及運(yùn)行的安全穩(wěn)定性。油浸式電力變壓器的溫升計(jì)算問(wèn)題是一個(gè)電磁場(chǎng)、流場(chǎng)及溫度場(chǎng)相互耦合的多物理場(chǎng)耦合計(jì)算問(wèn)題。論文圍繞油浸式電力變壓器內(nèi)部溫升計(jì)算過(guò)程中流場(chǎng)方程的計(jì)算問(wèn)題、流固耦合傳熱問(wèn)題、流場(chǎng)與溫度場(chǎng)耦合計(jì)算問(wèn)題、考慮隨機(jī)特性的溫度場(chǎng)計(jì)算方法等問(wèn)題展開(kāi)研究,主要研究工作有:(1)針對(duì)穩(wěn)態(tài)流場(chǎng)的計(jì)算問(wèn)題,推導(dǎo)了求解穩(wěn)態(tài)不可壓縮流體流動(dòng)問(wèn)題的最小二乘有限元離散格式,研究了基于單元?jiǎng)偠染仃嚧鎯?chǔ)的有限元方程計(jì)算方法,提出了基于單元?jiǎng)偠染仃嚧鎯?chǔ)的第一類邊界條件處理方法。以方腔頂蓋驅(qū)動(dòng)流模型為基本算例分析了最小二乘有限元法計(jì)算穩(wěn)態(tài)流場(chǎng)方程的基本特征,驗(yàn)證了計(jì)算方法的有效性。(2)針對(duì)計(jì)算瞬態(tài)流場(chǎng)問(wèn)題時(shí)方程自由度過(guò)大、計(jì)算效率過(guò)低的問(wèn)題,提出了求解瞬態(tài)流場(chǎng)問(wèn)題的降階最小二乘有限元方法。該方法首先應(yīng)用最小二乘有限元法計(jì)算部分時(shí)刻流場(chǎng)的解構(gòu)成瞬像矩陣,然后對(duì)瞬像矩陣進(jìn)行特征正交分解(Proper Orthogonal Decomposition,POD)提取流場(chǎng)的特征正交基,結(jié)合離散經(jīng)驗(yàn)插值方法(Discrete Empirical Interpolation Method,DEIM)及Galerkin正交投影方法構(gòu)建求解瞬態(tài)流場(chǎng)方程的POD-DEIM降階計(jì)算模型。數(shù)值計(jì)算結(jié)果驗(yàn)證了降階計(jì)算方法的準(zhǔn)確性及計(jì)算效率的高效性。(3)針對(duì)油浸式電力變壓器內(nèi)部溫升的計(jì)算問(wèn)題,提出了一種流場(chǎng)與溫度場(chǎng)耦合有限元計(jì)算方法。該方法應(yīng)用最小二乘有限元法計(jì)算油流的流場(chǎng)控制方程,得到油道中的油流速度分布。構(gòu)建流固耦合傳熱問(wèn)題的整場(chǎng)計(jì)算模型,采用流線迎風(fēng)有限元法計(jì)算整場(chǎng)傳熱方程,得到整場(chǎng)的溫度分布。通過(guò)順序耦合依次迭代計(jì)算流場(chǎng)及溫度場(chǎng)的有限元控制方程,得到最終的油流速度及整場(chǎng)溫度分布情況。應(yīng)用該方法計(jì)算了一臺(tái)油浸式電力變壓器局部繞組結(jié)構(gòu)模型的溫度分布,計(jì)算結(jié)果與Fluent軟件對(duì)比驗(yàn)證了計(jì)算方法的準(zhǔn)確性。(4)結(jié)合油浸式電力變壓器餅式繞組的基本結(jié)構(gòu),應(yīng)用所提出的流場(chǎng)及溫度場(chǎng)耦合有限元方法分析了餅式繞組油道油流及整場(chǎng)溫度的分布特征。同時(shí),結(jié)合變壓器設(shè)計(jì)理論,分析了餅式繞組水平油道高度、豎直油道寬度、分區(qū)數(shù)及入口油流速度等設(shè)計(jì)參數(shù)對(duì)繞組結(jié)構(gòu)中油流速度及溫度分布的影響,討論了油流速度分布對(duì)于繞組溫升的影響機(jī)理,為變壓器繞組散熱結(jié)構(gòu)設(shè)計(jì)及繞組溫升過(guò)熱分析提供指導(dǎo)。(5)為了研究不確定性因素對(duì)溫度場(chǎng)的影響,論文提出了一種求解隨機(jī)溫度場(chǎng)分布的降階蒙特卡洛隨機(jī)有限元方法。首先,結(jié)合POD及DEIM方法開(kāi)發(fā)了一套求解非線性流場(chǎng)及溫度場(chǎng)問(wèn)題的POD-DEIM降階有限元計(jì)算方法。接著,將降階計(jì)算方法與蒙特卡洛隨機(jī)有限元法結(jié)合,構(gòu)建了求解隨機(jī)溫度場(chǎng)問(wèn)題的降階蒙特卡洛隨機(jī)有限元計(jì)算模型。應(yīng)用所提方法計(jì)算了在考慮油道入口油流速度隨機(jī)分布時(shí)油浸式電力變壓器局部繞組溫度的隨機(jī)分布,分析了局部繞組熱點(diǎn)溫度的統(tǒng)計(jì)分布類型,驗(yàn)證了所提降階計(jì)算方法的準(zhǔn)確性及計(jì)算的高效性。
[Abstract]:The oil immersed power transformer is one of the important equipment for the transmission and distribution network. The hot temperature rise is related to the life and safety stability of the oil immersed power transformer. The temperature rise calculation problem of the oil immersed power transformer is an electromagnetic field, the coupling of the flow field and the temperature field coupled with the multi physical field coupling calculation. The calculation of the flow equation in the calculation process of the internal temperature rise of the power transformer, the problem of fluid solid coupling heat transfer, the coupling calculation of the flow field and the temperature field, the calculation method of the temperature field considering the random characteristics are carried out. The main research work is as follows: (1) the steady incompressible fluid flow is derived for the calculation of the steady flow field. The finite element method of finite element method based on the element stiffness matrix storage is studied. The first kind of boundary condition treatment method based on the element stiffness matrix storage is proposed. The equation of the steady flow field is calculated by the minimum two multiplied finite element method with the square cavity top drive flow model as the basic example. The basic characteristics verify the effectiveness of the calculation method. (2) in order to solve the problem of calculating transient flow problem with large free equation and low calculation efficiency, a reduced order least square finite element method for solving transient flow problem is proposed. Then the characteristic orthogonal decomposition (Proper Orthogonal Decomposition, POD) is used to extract the characteristic orthogonal basis of the flow field, and a POD-DEIM descending order calculation model for solving the transient flow field equation is constructed with the discrete empirical interpolation method (Discrete Empirical Interpolation Method, DEIM) and Galerkin orthogonal projection method. The numerical results are verified. The accuracy of the reduced order calculation method and the efficiency of calculation efficiency are proved. (3) in view of the calculation of the internal temperature rise of the oil immersed power transformer, a finite element method of coupling the flow field and the temperature field is proposed. The method is used to calculate the flow field control equation of the oil flow by the least square finite element method, and the oil flow velocity distribution in the oil channel is obtained. The whole field calculation model of the fluid solid coupling heat transfer problem is built. The whole field heat transfer equation is calculated by the flow line upwind finite element method. The finite element control equation of the flow field and the temperature field is iteratively calculated by sequential coupling. The final oil flow velocity and the distribution of the whole field temperature are obtained. An oil is calculated by this method. The temperature distribution of the local winding structure model of the immersed power transformer and the calculation results are compared with the Fluent software to verify the accuracy of the calculation method. (4) combining the basic structure of the oil immersed power transformer pancake winding, the oil flow and the whole temperature of the cake winding oil channel are analyzed by the coupled finite element method of the flow field and the temperature field proposed. At the same time, combined with the transformer design theory, the influence of the design parameters such as the horizontal oil channel height, the vertical oil channel width, the number of zoning and the inlet oil flow velocity on the oil flow velocity and temperature distribution in the winding structure are analyzed. The influence mechanism of the oil flow velocity distribution on the winding temperature rise is discussed, which is the heat dissipation structure of the transformer winding. The design and the analysis of temperature rising and overheating of windings provide guidance. (5) in order to study the influence of uncertain factors on the temperature field, a reduced order Monte Carlo stochastic finite element method for solving the distribution of random temperature field is proposed. First, a set of POD-DEIM reduction finite order for solving the problem of non linear flow field and temperature field is developed with POD and DEIM method. Then, combining the reduced order calculation method with the Monte Carlo stochastic finite element method, a reduced order Monte Carlo stochastic finite element calculation model for the problem of random temperature field is constructed. The random distribution of local winding temperature of the oil immersed power transformer when the oil flow velocity random distribution of the oil channel inlet is taken into account is calculated. The statistical distribution types of hot spot temperature of local windings are analyzed, and the accuracy and efficiency of the proposed method are verified.
【學(xué)位授予單位】：華北電力大學(xué)(北京)
【學(xué)位級(jí)別】：博士
【學(xué)位授予年份】：2017
【分類號(hào)】：TM411

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本文編號(hào)：1995893