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New Methods Used for the Smoothing of the Three-Dimensional Flow Behind the Turbine Nozzle Cascade 涡轮喷管叶栅后三维流动平滑的新方法
Pub Date : 2021-10-28 DOI: 10.20998/2078-774x.2021.01.07
Subotovich Subotovich, A. Lapuzin, Y. Yudin
To smooth the parameters of the three-dimensional flow behind the nozzle cascade new methods were suggested that allow us to sustain the flow rate, stagnation enthalpy and the axial projection of the moment of momentum for initial-, nonuniform and averaged flows. It was shown that the choice of the fourth integral characteristic (the kinetic energy, the entropy and the quantity of motion) has no particular significance because it has no effect on the complex criterion of the cascade quality, i.e. the velocity coefficient-angle cosine product that characterizes the level of the radial component of velocity. The minimum values of the velocity coefficient and the cosine angle satisfy the method that allows us to sustain the quantity of motion during the smoothing and the maximum values of the specified nozzle characteristics satisfy method 2 that enables the entropy maintenance. To evaluate the aerodynamic efficiency of the nozzle cascade the preference should be given to method 1 that enables the kinetic energy conservation and the velocity coefficient allows for the precise determination of the degree of loss of the kinetic energy that is equal to 3.6 % as for the example given in the scientific paper. As for method 1, the kinematic losses in the cascade are defined by the angle cosine that characterizes the level of the radial component of the velocity behind the cascade. For the example in question, kinematic losses are equal to 1.9 % and the complex criterion of quality equal to 0.972 corresponds to the overall losses of 5.5 %. It was suggested to use the velocity coefficient and the two angles of flow as integral cascade characteristics. The use of these characteristics enables the correct computations of the efficiency factor for the stage within the one-dimensional computation. The incisive analysis was performed for different methods used for the averaging of the parameters of the axially asymmetric flow behind the nozzle cascade. It was suggested to neglect the flow rate factor in the case of thermal computations done for the turbine stage.
为了平滑喷管叶栅后三维流动的参数,提出了新的方法,使我们能够维持初始、非均匀和平均流动的流速、停滞焓和动量矩的轴向投影。结果表明,第四个积分特征(动能、熵和运动量)的选择没有特别重要的意义,因为它对叶栅质量的复杂判据,即表征速度径向分量水平的速度系数-角余弦积没有影响。速度系数和余弦角的最小值满足使我们能够在平滑期间维持运动量的方法,指定喷嘴特性的最大值满足使熵保持的方法2。为了评估喷嘴叶栅的气动效率,应该优先考虑方法1,它使动能守恒,速度系数允许精确确定动能损失的程度,如科学论文中给出的例子等于3.6%。对于方法1,叶栅中的运动损失由角余弦定义,余弦表征了叶栅后速度的径向分量的水平。对于问题中的例子,运动学损失等于1.9%,质量的复杂标准等于0.972对应于5.5%的总损失。建议采用速度系数和两个气流角作为叶栅的整体特性。利用这些特性,可以在一维计算中正确计算出该阶段的效率系数。对喷嘴叶栅后轴不对称流参数的不同平均方法进行了深入分析。建议在对涡轮级进行热计算时忽略流量因素。
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引用次数: 1
Basic bases of calculations and optimization of NPP power unit equipment parameters methods of mathematical modelling 对核电机组设备参数计算和优化的基本依据进行了数学建模
Pub Date : 2021-10-28 DOI: 10.20998/2078-774x.2021.01.05
O. Yefimov, B. Ilchenko, L. Tiutiunyk, Tetyana Yesipenko, A. Motovilnik, T. Harkusha
The materials of the article consider the optimization of certain parameters and characteristics of the equipment of NPP power units, which are closely related to the processes of their design and construction. Modern NPP power units are complex technical systems. They include a set of interconnected equipment for different technological purposes, which ensures the performance of power units of a complex function of electricity production and heat of the specified quality and according to a given load schedule. Complete mathematical models of the functional state of steam turbine power units are characterized by a large number of nonlinear connections and contain implicit functions. This complicates their widespread use to solve problems of systematic analysis of the quality of operation of power units. The aim of the work is to analyze the basic theoretical foundations, methods and approaches to the calculation and optimization of the parameters of the equipment of NPP power units by methods of mathematical modeling. The solution of the problem of optimization of NPP power unit parameters includes the following stages: selection of optimality criteria (objective functions); development of a system of interconnected mathematical models in accordance with the required hierarchical level of optimization research; selection of computational methods and optimization algorithms. Taking into account the above methodological provisions and approaches increases the efficiency of mathematical modeling to solve problems of calculations and optimization of NPP power unit parameters.
本文的材料考虑了核电机组设备的某些参数和特性的优化,这些参数和特性与核电机组的设计和施工过程密切相关。现代核电站机组是一个复杂的技术系统。它们包括一套用于不同技术目的的相互连接的设备,以确保具有复杂功能的发电机组的性能,并根据规定的质量和给定的负荷计划进行发电和供热。汽轮机动力机组功能状态的完备数学模型具有大量非线性连接和隐含函数的特点。这使它们的广泛应用复杂化,难以解决系统分析发电机组运行质量的问题。本文旨在运用数学建模的方法,分析核电机组设备参数计算与优化的基本理论基础、方法和途径。核电厂机组参数优化问题的求解包括以下几个阶段:优化准则(目标函数)的选取;根据优化研究的层次要求,开发一个相互关联的数学模型系统;计算方法的选择和优化算法。考虑到上述方法学的规定和方法,提高了数学建模解决核电机组参数计算和优化问题的效率。
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引用次数: 0
Analyzing the Vibrations of the Critical Components in the Power Generating Unit of 200MW under Kinematic Loadings 200MW发电机组关键部件在运动载荷作用下的振动分析
Pub Date : 2020-12-30 DOI: 10.20998/2078-774x.2020.02.03
Pavel Petrovich Gontarovskiy, N. Garmash, A. A. Glyadya
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引用次数: 0
Application of a comprehensive methodology to optimize the flow paths of steam turbines 应用综合方法优化汽轮机流道
Pub Date : 2020-12-30 DOI: 10.20998/2078-774x.2020.01.08
O. Avdieieva, Oleksandr Usatyi, I. Palkov, Sergii Andrijovich Palkov, O. Ishchenko
The article describes the effectiveness of the application of a comprehensive methodology in the modernization of the flow parts of steam turbines. The above methodology makes it possible to increase the absolute efficiency by 0.83%, and the turbine power by 1.87% due to the use of an object-oriented approach. The use of recursive traversal of various optimization levels for information exchange between objects allows finding an optimal solution for a large number of design parameters.
本文介绍了综合方法在汽轮机流动部件现代化改造中的应用效果。由于使用了面向对象的方法,上述方法可以将绝对效率提高0.83%,涡轮功率提高1.87%。使用各种优化级别的递归遍历用于对象之间的信息交换,可以找到大量设计参数的最佳解决方案。
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引用次数: 0
Numerical Investigation of the Streamlining of Nozzle Arrays Equipped with Grid Valves 配备栅格阀的喷管阵列流线型的数值研究
Pub Date : 2020-12-30 DOI: 10.20998/2078-774x.2020.02.01
O. Zhyrkov, Oleksandr Usatyi, O. Avdieieva, Yuri Torba
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引用次数: 0
Some Methods of a Change in the Trickle Flow Structure during the Water Dispersion by Flat-Plate Jet Nozzles 平板喷嘴水分散过程中改变细流结构的几种方法
Pub Date : 2020-12-30 DOI: 10.20998/2078-774x.2020.01.04
A. Pereselkov, Olga Krugliakova
Consideration is given to the possibility of the control of the structure of the trickle flow by using flat-plate jet nozzles for the elliptic shape of the surface of the spray zone. This research paper gives consideration to the data of experimental investigations of the water-air dispersed water during the internal mixture formation in the flat-plate nozzle as applied to the cooling of the ingot between the rollers in continuous steel casting machines. In this case, the water flow rate per nozzle and the water concentration can be reduced ten times. As a result, the ingot cooling intensity is reduced and the probability of the crack nucleation on the ingot surface is decreased. This research paper gives also the data of the experimental research carried out for a more efficient use of flat-plate nozzles when cooling the casting roller before its polishing and when heating it before charging the mill stand. It was shown that the intercrossing of trickle flows produced by two flat-plate jet nozzles arranged at an angle relative to each other results in the four-time increase in the spray zone surface area and the surface  spray density is reduced two times. The analogous problem was solved using the kinetic energy of the disintegrating water film and the drops after these leave the flat-plate nozzle for the additional splitting when passing through the metal gauze. It turned out that the spray zone was increased threefold and the surface spray density was decreased two times. The trickle flow structure control options in question with the use of flat-plate nozzles contribute to the improved quality of the ingots, decreased water consumption, reduced number of the nozzles and their simplified arrangement on the collectors.
考虑了采用平板喷管对喷雾区表面椭圆形状的细流结构进行控制的可能性。本文结合连铸机轧辊间钢锭冷却中平板喷嘴内混合形成水-气分散水的实验研究数据。在这种情况下,每个喷嘴的水流量和水浓度可以降低十倍。结果降低了钢锭冷却强度,降低了钢锭表面裂纹形核的概率。本文还提供了平板喷嘴在浇铸辊抛光前冷却和浇注前加热时更有效使用的实验研究数据。结果表明:两个平板射流喷嘴相互成一定角度布置时产生的细流交叉,使喷雾区表面积增加了4倍,表面喷雾密度降低了2倍;利用水膜崩解后的动能和水滴在穿过金属纱布时离开平板喷嘴进行额外的劈裂来解决类似的问题。结果表明,喷淋面积增大了3倍,表面喷淋密度减小了2倍。使用平板喷嘴的滴流结构控制选项有助于提高铸锭质量,减少水消耗,减少喷嘴数量并简化收集器上的布置。
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引用次数: 1
The Thermophysical Experiment Carried out for the Education of the Students Studying for the Master’s Degree to Get Heat Engineering Specialties 热工程专业硕士研究生热物理实验教学
Pub Date : 2020-12-30 DOI: 10.20998/2078-774x.2020.01.03
A. Tarasov, O. Lytvynenko, Irina Myhaylova, S. Naumenko
Thermophysical experiments became a very rare phenomenon due to their expensiveness and rather complicated and time-consuming preparation and carrying out. Very often the teachers tend to prefer the computer simulation of these and those technological processes for the in-depth formation of detailed knowledge in students. The reason for such a preference is evident; this approach provides visual aspects and relatively fast attainment of the goal. A negative side of such a choice is that the future specialists are not able to judge the reliability of these and those experimental relationships between the physical parameters of the processes that are used for the machinery design. To remove this drawback of the teaching and learning process, a small-size aerodynamic tunnel was created and the detailed technique for the running of experiment and experimental data processing was elaborated. The length of the working section of this tunnel was equal to 0.5 m. The rectangular cross-section of the tunnel bore was equal to 0.35´0.15 m2. The heat loss was studied at the lower wall of aerodynamic tunnel that was equipped with three heating elements arranged longitudinally to the air stream. The heating elements were the strips made of konstantan with the cross-section of 10´0.11 mm2 and the thermocouples were fixed to the lower surface. A maximum value of the local Reynolds number was Rex < 105, i.e. the laminar boundary layer was actually in progress on the entire surface. When processing the obtained experimental data we took into account radiation heat losses and the heat losses caused by thermal conductivity along heating elements. Nevertheless, heat transfer intensity values turned out to be 3 to 4 times higher in comparison to those of the laminar flow mode. The numerical analysis of the thermal state of the experimental plate enabled the determination of the heat losses that were not taken into account earlier. Hence, we managed to achieve actually full coincidence of the experimental values of the intensity of heat transfer that were derived from a reliable similarity equation. The research done is required for the formation of the competence in students that study for the Master’s degree to get their specialty.
热物理实验由于其昂贵的费用和相当复杂和耗时的准备和实施而成为一种非常罕见的现象。教师往往倾向于用计算机模拟这些和那些技术过程,以便学生深入形成详细的知识。这种偏好的原因是显而易见的;这种方法提供了视觉方面和相对较快的目标实现。这种选择的消极一面是,未来的专家无法判断用于机械设计的过程的物理参数之间的这些和那些实验关系的可靠性。为了消除教学过程中的这一缺陷,建立了一个小型气动隧道,并阐述了实验运行和实验数据处理的详细技术。本隧道工作段长度为0.5 m。隧道掘进矩形截面为0.35´0.15 m2。研究了纵向布置三个加热元件的气动隧道下壁的热损失。加热元件为横截面为10´0.11 mm2的康斯坦坦条,热电偶固定在下表面。局部雷诺数最大值为Rex < 105,即层流边界层在整个表面实际处于运动状态。在处理得到的实验数据时,我们考虑了辐射热损失和热导率沿加热元件引起的热损失。然而,换热强度值比层流模式高3 ~ 4倍。通过对实验板热状态的数值分析,可以确定之前没有考虑到的热损失。因此,我们成功地实现了由可靠的相似方程导出的传热强度的实验值的完全重合。为了培养攻读硕士学位的学生的专业能力,所做的研究是必要的。
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引用次数: 0
Exergy Analysis of Transiant Modes in Hot Water Storage Tanks 热储水箱瞬态模态的火用分析
Pub Date : 2020-12-30 DOI: 10.20998/2078-774x.2020.01.07
V. Voloshchuk, O. Nekrashevych, S. Liubytskyi
The paper demonstrates the importance of taking into account the accumulation of exergy in a control volume of a thermal storage during transient modes for evaluation of exergy-based parameters. The investigations are based on the exergy balance equation and mathematical model of the mode of simultaneous thermal energy addition and removal. It is found that for the specified parameters of the unit, when the exergy accumulation is not included, the error of estimation of exergy-base parameters can be large: in case of calculation of fuel of exergy and exergy efficiency this error can reach 80 %, the exergy destruction values are received with 130 % error. It is shown that these errors depend on the ratio of rates of cold and hot working fluids and decrease with increasing this ratio, but almost do not depend on the storage volumes and the initial temperatures of working fluids. Including accumulation of exergy within the control volumes during dynamic modes of thermal systems is necessary for implementation of exergy-based control strategies.
本文论证了在瞬态模式下,考虑蓄热器控制体积内的火用积累对于评估基于火用的参数的重要性。研究的基础是火用平衡方程和热同时加减模式的数学模型。研究发现,对于机组指定参数,在不考虑火用积累时,对火用基础参数的估计误差较大,在计算火用燃料和火用效率时,该误差可达80%,得到的火用破坏值误差为130%。结果表明,这些误差与工质冷热比有关,且随工质冷热比的增大而减小,而与储存量和工质初始温度基本无关。在热系统的动态模式中,包括控制体积内的火用积累对于实现基于火用的控制策略是必要的。
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引用次数: 0
Optimization of Non-Stationary Electric Field Parameters in Order to Increase the Efficiency of Chamber Furnaces 优化非平稳电场参数以提高室炉效率
Pub Date : 2020-12-30 DOI: 10.20998/2078-774x.2020.02.04
A. Yerofieieva, V. Artemchuk, N. Mukhina, O. Karasov
Topicality. The presented work is devoted to the urgent task of increasing the energy efficiency of chamber furnaces.The purpose is to solve the problem connected with optimizing the parameters of the non-stationary mode of the applied electric field in order to increase the efficiency of the chamber furnaces. Methodology. According to well-known methods of experiment planning, we obtained a set of Paretoincomparable solutions of the chamber furnace, taking into account the voltage between the burner and the metal charge, which is the basis of the algorithm. Findings. The work proposes an innovative system acting the process of metal heating in a chamber furnace. The result is a developed chamber furnace control system, in which the optimal values of control actions at each step of the heating cycle are determined according to the created algorithm. The proposed control system is universal, because after miscalculations it produces the dynamics, according to which one needs to change the value of direct-current voltage and gas supply with a step in time to perform any given mode of metal heat treatment. The experimental studies conducted on a real chamber furnace with a bogie hearth at Zaporozhye Titanium and Magnesium Combine confirmed this. The analysis of the obtained metal annealing temperature curve showed that the implementation of the optimal values of the control actions, obtained using the developed algorithm, provides a high uniformity and better quality heating of the metal. The dynamics of gas consumption by the chamber furnace during the heating cycle in the basic mode, without voltage supply, and under the condition of its use in accordance with the performed optimization testify to the possibility of significant energy efficiency improvement of the considered furnaces. Conclusions. For the first time we proved the possibility and efficiency of using a non-stationary electric field in the furnace chamber as a control action, which confirms the originality of the obtained results. The practical value of the research is that the developed control algorithm is universal in terms of metal heat treatment and can be used in chamber furnaces of any industrial enterprise, while one heating cycle reduces the consumption of natural gas by more than 10 %.
时事性。提出的工作是致力于提高室内炉的能源效率的紧迫任务。其目的在于解决外加电场非稳态模式参数的优化问题,以提高室炉的效率。方法。根据已知的实验规划方法,在考虑燃烧器与金属炉料之间电压的情况下,得到了一组室炉的Paretoincomparable解,这是算法的基础。发现。本文提出了一种新颖的模拟炉内金属加热过程的系统。根据所建立的算法,确定了加热循环各阶段控制动作的最优值,从而建立了箱式加热炉控制系统。所提出的控制系统具有通用性,因为在错误计算后,它会产生动力学,根据该动力学,需要及时改变直流电压和供气的值,以执行任何给定的金属热处理模式。扎波罗热钛镁联合公司在带转向架炉膛的实室炉上进行的实验研究证实了这一点。对得到的金属退火温度曲线的分析表明,利用所开发的算法得到的控制动作的最优值的实现,提供了高均匀性和更好的金属加热质量。在基本模式下,在无电压供电的情况下,以及在按照所执行的优化使用条件下,炉膛在加热周期内的燃气消耗动态证明了所考虑的炉有可能显著提高能效。结论。我们首次证明了在炉腔中使用非稳态电场作为控制动作的可能性和有效性,证实了所得结果的独创性。研究的实用价值在于,所开发的控制算法在金属热处理方面具有通用性,可用于任何工业企业的室炉,而一个加热周期可减少10%以上的天然气消耗。
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引用次数: 0
Determination of Fuel Gas Flow Rate in Gas Pumping Unit and Compressor Station 燃气抽油机和压缩站燃气流量的测定
Pub Date : 2020-12-30 DOI: 10.20998/2078-774x.2020.01.02
Y. A. Oleynik, S. A. Saprykin, S. Naumenko
Formulas for drive power of centrifugal supercharger of natural gas are obtained, where efficiency factor (EF) of centrifugal supercharger is equal to product of three EF of centrifugal supercharger: mechanical, polytropic, gas-dynamic. The gas dynamic EF of the centrifugal supercharger is usually not taken into account and is taken equal to one. Gas dynamic EF takes into account the pressure loss of the centrifugal supercharger pumped in the stages and the energy loss due to friction of the centrifugal supercharger impellers in the gas medium. Also in the formula of calculation of drive power of the operated centrifugal supercharger the presence of condensate and water vapors in the natural gas is taken into account, which affects the accuracy of measuring the flow rate of pumped gas in the diaphragm flowmeter. Pumping of pure natural gas is impossible in reality and there are always impurities in natural gas, which must be taken into account to estimate the mass flow rate of gas. For formulas of practical (operated) and theoretical calculations of the drive power of the centrifugal natural gas blower received constant (equal to 0.004) for daily standard gas flow, which simplifies the calculation. The paper presents both precise and simplified formulas for the drive power of a centrifugal natural gas blower.
得到了天然气离心式增压器驱动功率的计算公式,其中离心式增压器的效率系数(EF)等于离心式增压器机械式、多向式、气动力式三种效率系数的乘积。离心增压器的气体动力EF通常不考虑,取为1。气体动力系数考虑了离心式增压器在各级泵送的压力损失和离心式增压器叶轮在气体介质中的摩擦所造成的能量损失。在离心增压器运行驱动功率的计算公式中,还考虑了天然气中存在冷凝水和水蒸气的情况,这影响了隔膜流量计测量泵送气体流量的准确性。抽送纯天然气在现实中是不可能的,而且天然气中总是存在杂质,在估计气体的质量流量时必须考虑到杂质的存在。在实际(操作)和理论计算公式中,离心式天然气鼓风机的驱动功率取日标准气体流量常数(等于0.004),简化了计算。本文给出了离心天然气鼓风机驱动功率的精确公式和简化公式。
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引用次数: 0
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NTU "KhPI" Bulletin: Power and heat engineering processes and equipment
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